4.DBH ( ) . ( ) . ( ) = 0 motako ekuazioa Ebatzi ondoko ekuazioa:

#a . ( #b) . (#c) = 0

 

]]> 1.0000000 0.3333333 0 0 #s <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo> </mo><mo>(</mo><mo>(</mo><mo>-</mo><mn>6</mn><mo>.</mo><mo>.</mo><mn>6</mn><mo>)</mo><mo>/</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>(</mo><mo>-</mo><mn>10</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>/</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>x</mi><mo>+</mo><mi>p</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>x</mi><mo>+</mo><mi>q</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mi>ebatz</mi><mfenced><mrow><mi>abc</mi><mo>=</mo><mn>0</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#s</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 2. mailako funtzioen grafikoa2 Ondoko adierazpen hauetako zein dagokio azpiko grafikoari?

                        #g

]]> Gogoratu nola egiten den funtzioen traslazioa. Begiratu liburuan!

]]> 1.0000000 0.1000000 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> #e1

]]> Ederto!

]]> #e2

]]> Hurrengo saiakeran begiratu ondo parabolaren erpinaren koordenatu biren balioak zeintzuk diren.

]]> #e3

]]> Hurrengo saiakeran begiratu ondo parabolaren erpinaren koordenatu biren balioak zeintzuk diren.

]]> #e4

]]> Parabolaren erpinaren koordenatuaz gain "a" koefizientearen ikurra begiratu behar duzu, ahurra ala ganbila den ziurtatzeko.

]]> #e5

]]> Hurrengo saiakeran begiratu ondo parabolaren erpinaren koordenatu biren balioak zeintzuk diren.

]]> #e6

]]> Hurrengo saiakeran begiratu ondo parabolaren erpinaren koordenatu biren balioak zeintzuk diren.

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr></mtable><mrow><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mi>a</mi></mrow></mfrac><mo>∈</mo><integers/></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><mi>a</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>b</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>c</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>=</mo><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>=</mo><mo>-</mo><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e5</mi><mo>=</mo><mo>-</mo><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e6</mi><mo>=</mo><mo>-</mo><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>-</mo><mn>1</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>24</mn><mo>*</mo><mi>x</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>24</mn><mo>*</mo><mi>x</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>24</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></math></output></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> 2. mailako funtzioen grafikoak #g  grafikoa f(x)=#i funtzioari dagokio?

 

]]> Gogoratu!! Parabolaren erpina x=-b/(2a) abzisadun puntuan dagoela eta x-ren balio honi dagokion ordenatuaren balioa y(x), x-ren balioa y-ren adierazpenean ordezkatuz lortzen da.

]]> 1.0000000 1.0000000 0 Verdadero Ederto! Bere erpina (#d,#e)  puntuan baitu.

]]> Falso Kontuz! Begiratu ea parabolaren erpinaren koordenatuak ondo lortu dituzun.

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mi style="color:#ffc800">variables</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mi>a</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>b</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>c</mi><mo>)</mo><mo>,</mo><mi>a</mi><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mi>b</mi><mo>+</mo><mi>m</mi></mrow></mfenced><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>c</mi><mo>+</mo><mi>m</mi><mo>)</mo><mo>,</mo><mi>a</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>b</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>c</mi><mo>)</mo><mo>+</mo><mi>m</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mi>y</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mi>h</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>h</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>:</mo><mo>=</mo><mo>(</mo><mi>h</mi><mo>=</mo><mi>i</mi><mo>)</mo><mo>?</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>i</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mfrac><mrow><mi>b</mi><mo>+</mo><mi>c</mi></mrow><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>d</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>8</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>,</mo><mn>0</mn><mo>,</mo><mo>-</mo><mn>12</mn><mo>,</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>8</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> 2. mailako futzioen traslazioa Lotu itzazu ondoko grafikoak dagokion funtzioaren adierazpenarekin

]]> 1.0000000 0.1000000 0 true Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> #g1

]]> #e1 #g2

]]> #e2 #g3

]]> #e3 #g4

]]> #e4 #g5

]]> #e5 #g6

]]> #e6 <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo><mi>s2</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo><mi>s3</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo><mi>s5</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo><mi>s6</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr></mtable><mrow><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac><mo>∈</mo><integers/></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>a</mi><mo>·</mo><mi>x</mi><mo>^</mo><mn>2</mn><mo>+</mo><mi>b</mi><mo>·</mo><mi>x</mi><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>e1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>a</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>^</mo><mn>2</mn><mo>+</mo><mi>b</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s2</mi><mo>,</mo><mi>e2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>=</mo><mi>a</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo><mo>^</mo><mn>2</mn><mo>+</mo><mi>b</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g3</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>e3</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>=</mo><mi>a</mi><mo>·</mo><mi>x</mi><mo>^</mo><mn>2</mn><mo>+</mo><mi>b</mi><mo>·</mo><mi>x</mi><mo>+</mo><mi>c</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g4</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>e4</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e5</mi><mo>=</mo><mi>a</mi><mo>·</mo><mi>x</mi><mo>^</mo><mn>2</mn><mo>+</mo><mi>b</mi><mo>·</mo><mi>x</mi><mo>+</mo><mi>c</mi><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g5</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s5</mi><mo>,</mo><mi>e5</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e6</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>·</mo><mi>x</mi><mo>^</mo><mn>2</mn><mo>-</mo><mi>b</mi><mo>·</mo><mi>x</mi><mo>-</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g6</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s6</mi><mo>,</mo><mi>e6</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>+</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e6</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> 3. mailako polinomioren faktorizazioa. Deskonposa ezazu ondoko polinomioa lehenengo mailako monomioetan Ruffiniren erregela erabiliz:

                         #pol

]]> Gogoratu polinomioa Ruffini bidez faktorizatzeko gai askearen zatitzaile guztiekin frogatu beharko duzula. ANIMO!

]]> 1.0000000 0.1000000 0 0 #sol EDERTO!

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>r</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>r</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>r</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pol</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>)</mo><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mo>(</mo><mi>a</mi><mo>*</mo><mi>c</mi><mo>+</mo><mi>b</mi><mo>*</mo><mi>c</mi><mo>+</mo><mi>a</mi><mo>*</mo><mi>b</mi><mo>)</mo><mo>*</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>*</mo><mi>b</mi><mo>*</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>faktorizatu</mi><mo>(</mo><mi>pol</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>5</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>24</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ebatz</mi><mfenced><mrow><mi>pol</mi><mo>=</mo><mn>0</mn></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>4</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session> ]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Adierazpen Grafikoa1 Ondorengo adierazpen grafikoa f(x) = #h funtzioari dagokio?

#p

]]> 1.0000000 1.0000000 0 Verdadero Falso <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>s=tabloia({zentroa=puntu(0,0),zabalera=</mtext><mn>20</mn><mtext>,altuera=</mtext><mn>20</mn><mtext>})</mtext></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>ausazko</mi><mo>&nbsp;</mo><mo>(</mo><mo>{</mo><mfrac><mn>4</mn><mi>x</mi></mfrac><mo>+</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>+</mo><mfrac><mn>1</mn><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac><mo>,</mo><mo>-</mo><mn>1</mn><mo>+</mo><mfrac><mn>1</mn><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>,</mo><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>f</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mi>f</mi><mo>(</mo><mo>)</mo><mo>,</mo><mi>g</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>s</mi><mo>,</mo><mi>g</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>:</mo><mo>=</mo><mo>(</mo><mi>g</mi><mo>=</mo><mi>h</mi><mo>)</mo><mo>?</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow><mi>x</mi></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>faltsu</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Alderantzizko proportzionaltasuneko funtzioaren ezaugarriak Ondorengo alderantzizko proportzionaltasuneko funtzioaren grafikoa izanik, bete hutsuneak:

#g

DEFINIZIO-EREMUA

{#1}{#2}

IBILBIDEA

  {#3}

ASINTOTA HORIZONTALA

  y= {#4}

ASINTOTA BERTIKALA

  x= {#5}

SIMETRIA

  

ADIERAZPEN ALJEBRAIKOA

  
]]> 4.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><cn>-∞</cn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><cn>+∞</cn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mfrac><mn>1</mn><mrow><mi>x</mi><mo>-</mo><mi>a</mi></mrow></mfrac><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tablero</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>dibujar</mi><mfenced><mi>y</mi></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>-∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>+∞</cn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>7</mn></mrow><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tablero1</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Bektoreen arteko batuketak eta kenketak 3 Aztertu irudiko erronboa, eta kalkulatu:

                                                              #g 

a) «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover»«mrow»«mi»A«/mi»«mi»B«/mi»«/mrow»«mo»§#8594;«/mo»«/mover»«mo»+«/mo»«mover»«mrow»«mi»B«/mi»«mi»C«/mi»«/mrow»«mo»§#8594;«/mo»«/mover»«mo»=«/mo»«/math»{#1}

b) «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover»«mrow»«mi»O«/mi»«mi»B«/mi»«/mrow»«mo»§#8594;«/mo»«/mover»«mo»+«/mo»«mover»«mrow»«mi»O«/mi»«mi»C«/mi»«/mrow»«mo»§#8594;«/mo»«/mover»«mo»=«/mo»«/math»{#2}

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>geometria_egoera</mi><mfenced><mtext>&quot;2D&quot;</mtext></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mi>puntu</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>;</mo><mi>B</mi><mo>=</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>;</mo><mi>C</mi><mo>=</mo><mi>puntu</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>;</mo><mi>D</mi><mo>=</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mo>-</mo><mn>4</mn><mo>)</mo><mo>;</mo><mi>O</mi><mo>=</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>segmentu</mi><mfenced><mrow><mi>A</mi><mo>,</mo><mi>B</mi></mrow></mfenced><mo>;</mo><mi>s</mi><mo>=</mo><mi>segmentu</mi><mfenced><mrow><mi>B</mi><mo>,</mo><mi>C</mi></mrow></mfenced><mo>;</mo><mi>t</mi><mo>=</mo><mi>segmentu</mi><mfenced><mrow><mi>C</mi><mo>,</mo><mi>D</mi></mrow></mfenced><mo>;</mo><mi>q</mi><mo>=</mo><mi>segmentu</mi><mfenced><mrow><mi>D</mi><mo>,</mo><mi>A</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mo>{</mo><mi>zentroa</mi><mo>=</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mi>zabalera</mi><mo>=</mo><mn>8</mn><mo>,</mo><mi>altuera</mi><mo>=</mo><mn>10</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>w</mi><mo>,</mo><mo>{</mo><mi>r</mi><mo>,</mo><mi>s</mi><mo>,</mo><mi>t</mi><mo>,</mo><mi>q</mi><mo>}</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>w</mi><mo>,</mo><mo>{</mo><mi>A</mi><mo>,</mo><mi>B</mi><mo>,</mo><mi>C</mi><mo>,</mo><mi>D</mi><mo>,</mo><mi>O</mi><mo>}</mo><mo>,</mo><mo>{</mo><mi>erakutsi_etiketa</mi><mo>=</mo><mi>ziur</mi><mo>}</mo></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session> ]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Bigarren mailako ekuazioak Ebatzi ekuazioa hau #E

]]> Animo !!

]]> 1.0000000 0.3333333 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>(</mo><mo>)</mo><mo> </mo><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>=</mo><mi>a</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mo>(</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>=</mo><mi>a</mi><mo>(</mo><mo>)</mo><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Bigarren mailako polinomioak faktorizatu Faktorizatu hurrengo polinomioa: P(x)=#P

]]> 1.0000000 0.2000000 0 0 #fakt Primeran!

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>+</mo><mi>a</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>+</mo><mi>b</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fakt</mi><mo>=</mo><mi>faktorizatu</mi><mo>(</mo><mi>P</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fakt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#fakt</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Dadoak Bi dado jaurti ditugu. Hauek dira gertaerak:

A:{puntuen batura 5 da}

B:{dado batean 4 atera dugu}

C:{Bi dadoen emaitza bera lortu dugu}

Idatzi A,B eta C-en oinarrizko gertaerak eta kalkulatu bakoitzaren probabilitateak.

]]> Kontuan izan bi dado botatzen ditugunean, lagin-espazioan 36 elementu daudela.

]]> 1.0000000 0.0000000 0 editor 15 0 <question/> Datuen antolaketa Ikastetxe bateko DBHko 4. mailako ikasleei galdetuta zenbat gastatzen duten urteko  zinera joaten (sarrerak, palomitak eta abarrekoak sarturik) hauek izan dira erantzunak:

105

80

90

100

120

80

40

50

90

110

50

60

110

100

90

40

100

110

40

100

70

80

80

90

110

100

90

200

80

50

50

80

100

110

100

90

110

150

200

80

30

100

120

100

120

90

90

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110

110

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90

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90

80

90

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130

100

100

110

100

90

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50

180

100

110

100

 

Antolatu datu hauek taula estatistiko batean eta kalkulatu banaketa neurririk garrantzitsuenak.

Behin lortuta datu horiek komentau ea logikoak iruditzen zaizkizun eta zergatik.

]]> 1.0000000 0.0000000 0 editor 30 0

TARTEAK

KOPURUA

MAIZTASUNA

…..

…..

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

]]> <question/> DefinizioEremua1 Zein da f(x)=#h funtzioaren definizio eremua?

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> #eremu1

]]> #eremu2

]]> #eremu3

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>*</mo><mi>x1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><msqrt><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>eremu1</mi><mo>=</mo><mi>eremua</mi><mo>(</mo><msqrt><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msqrt><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>eremu2</mi><mo>=</mo><mi>eremua</mi><mo>(</mo><msqrt><mrow><mo>-</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msqrt><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>eremu3</mi><mo>=</mo><mi>eremua</mi><mo>(</mo><msqrt><mrow><mi>f</mi><mo>(</mo><mo>-</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msqrt><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ekuazio irrazionala Ebatzi ondoko ekuazioa:

#ek

OHARRA:
Adierazi emaitza era honetara , adibidez: { { x =3} }

]]> 1.0000000 0.3333333 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ek</mi><mo>=</mo><msqrt><mrow><mi>a</mi><mo> </mo><mo>·</mo><mo> </mo><mi>x</mi><mo>+</mo><mi>b</mi></mrow></msqrt><mo>-</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>ebatz</mi><mfenced><mrow><mi>ek</mi><mo>=</mo><mn>0</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ekuazio Irrazionalak Ondorengo ekuazioa ebatzi:

                                               #ek

 

Oharra: Wiris editorea erabili emaitza zatiki moduan adierazteko.

]]> Ongi pentsatu erroa kentzeko eman beharreko pausuak.

]]> 1.0000000 0.2500000 0 0 #Em Primeran! Hurrengo batekin animatzen?

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ek</mi><mo>=</mo><msqrt><mrow><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b</mi></mrow></msqrt><mo>-</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>em</mi><mo>=</mo><mi>ebatz</mi><mfenced><mrow><mi>ek</mi><mo>=</mo><mn>0</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Em</mi><mo>=</mo><msub><mi>em</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ek</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mrow><mn>9</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6</mn></mrow></msqrt><mo>-</mo><mn>7</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Em</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>43</mn><mn>9</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#Em</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ekuazio-sistemen ebazpena grafikoki. Emparejamiento. Elkartu itzazu sistema bakoitza dagokion soluzioarekin.

Azpian soluzio posibleak idatzi ditugu hobeto ikus ditzazun. Ageri diren sistemak ondokoak dira:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnalign=¨left¨ rowspacing=¨0¨»«mtr»«mtd»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi»#a1«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mi»#b1«/mi»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#c1«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#a2«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mi»#b2«/mi»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#c2«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi»#a21«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mi»#b21«/mi»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#c21«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#a22«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mi»#b22«/mi»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#c22«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi»#a31«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mi»#b31«/mi»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#c31«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#a32«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mi»#b32«/mi»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#c32«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi»#a41«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mi»#b41«/mi»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#c41«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#a42«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mi»#b42«/mi»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#c42«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»
]]> 1.0000000 0.1000000 0 true Soluzioa P=#P da eta grafikoak: #t1 dira.

]]> {#a1·x+#b1·y=#c1 ; #a2·x+#b2·y=#c2 Soluazioa ondokoa da :Q=#Q eta grafikoa berriz: #t2

]]> {#a21·x+#b21·y=#c21 ; #a22·x+#b22·y=#c22 Sistemaren grafikoak zuzen berdinak dira. Lerro gorria lodiagoa da zuzen bat bestearen gainean dagoela ikusteko. Grafikoak ondokoak dira: #t3

]]> {#a31·x+#b31·y=#c31 ; #a32·x+#b32·y=#c32 Sistemaren grafikoak zuzen paraleloak dira. Ondokoak dira: #t4

]]> {#a41·x+#b41·y=#c41 ; #a42·x+#b42·y=#c42 <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>21</mn><mo>,</mo><mn>21</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>s1</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c1</mi><mo>=</mo><mi>a1</mi><mo>·</mo><mi>s1</mi><mo>+</mo><mi>b1</mi><mo>·</mo><mi>s2</mi></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b2</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c2</mi><mo>=</mo><mi>a2</mi><mo>·</mo><mi>s1</mi><mo>+</mo><mi>b2</mi><mo>·</mo><mi>s2</mi></mtd></mtr><mtr><mtd><mi>p1</mi><mo>=</mo><mfrac><mi>a1</mi><mi>a2</mi></mfrac></mtd></mtr><mtr><mtd><mi>p2</mi><mo>=</mo><mfrac><mi>b1</mi><mi>b2</mi></mfrac></mtd></mtr></mtable><mrow><mi>p1</mi><mo>≠</mo><mi>p2</mi><mo>∧</mo><mi>a1</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>b1</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c1</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a2</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>b2</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c2</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f11</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>c1</mi><mo>-</mo><mi>a1</mi><mo>·</mo><mi>x</mi></mrow><mi>b1</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f12</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>c2</mi><mo>-</mo><mi>a2</mi><mo>·</mo><mi>x</mi></mrow><mi>b2</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g11</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>t1</mi><mo>,</mo><mi>f11</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>kolorea</mi><mo>=</mo><mi>gorria</mi><mo>,</mo><mi>lerro_zabalera</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g12</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>t1</mi><mo>,</mo><mi>f12</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>kolorea</mi><mo>=</mo><mi>berdea</mi><mo>,</mo><mi>lerro_zabalera</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo>=</mo><mi>puntu</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>s2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g13</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>t1</mi><mo>,</mo><mi>P</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>kolorea</mi><mo>=</mo><mi>urdin</mi><mo>,</mo><mi>tamainu_puntu</mi><mo>=</mo><mn>5</mn><mo>,</mo><mi>erakutsi_etiketa</mi><mo>=</mo><mi>ziur</mi></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>21</mn><mo>,</mo><mn>21</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>s21</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s22</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b21</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c21</mi><mo>=</mo><mi>a21</mi><mo>·</mo><mi>s21</mi><mo>+</mo><mi>b21</mi><mo>·</mo><mi>s22</mi></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b22</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c22</mi><mo>=</mo><mi>a22</mi><mo>·</mo><mi>s21</mi><mo>+</mo><mi>b22</mi><mo>·</mo><mi>s22</mi></mtd></mtr><mtr><mtd><mi>p21</mi><mo>=</mo><mfrac><mi>a21</mi><mi>a22</mi></mfrac></mtd></mtr><mtr><mtd><mi>p22</mi><mo>=</mo><mfrac><mi>b21</mi><mi>b22</mi></mfrac></mtd></mtr></mtable><mrow><mi>p21</mi><mo>≠</mo><mi>p22</mi><mo>∧</mo><mi>a21</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>b21</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c21</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a22</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>b22</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c22</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f21</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>c21</mi><mo>-</mo><mi>a21</mi><mo>·</mo><mi>x</mi></mrow><mi>b21</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f22</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>c22</mi><mo>-</mo><mi>a22</mi><mo>·</mo><mi>x</mi></mrow><mi>b22</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g21</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>t2</mi><mo>,</mo><mi>f21</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>kolorea</mi><mo>=</mo><mi>gorria</mi><mo>,</mo><mi>lerro_zabalera</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g22</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>t2</mi><mo>,</mo><mi>f22</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>kolorea</mi><mo>=</mo><mi>berdea</mi><mo>,</mo><mi>lerro_zabalera</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Q</mi><mo>=</mo><mi>puntu</mi><mo>(</mo><mi>s21</mi><mo>,</mo><mi>s22</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g23</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>t2</mi><mo>,</mo><mi>Q</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>kolorea</mi><mo>=</mo><mi>urdin</mi><mo>,</mo><mi>tamainu_puntu</mi><mo>=</mo><mn>5</mn><mo>,</mo><mi>erakutsi_etiketa</mi><mo>=</mo><mi>ziur</mi></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>21</mn><mo>,</mo><mn>21</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>m3</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a31</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b31</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c31</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a32</mi><mo>=</mo><mi>m3</mi><mo>*</mo><mi>a31</mi></mtd></mtr><mtr><mtd><mi>b32</mi><mo>=</mo><mi>m3</mi><mo>*</mo><mi>b31</mi></mtd></mtr><mtr><mtd><mi>c32</mi><mo>=</mo><mi>m3</mi><mo>·</mo><mi>c31</mi></mtd></mtr><mtr><mtd><mi>p31</mi><mo>=</mo><mfrac><mi>c31</mi><mi>b31</mi></mfrac></mtd></mtr><mtr><mtd><mi>p32</mi><mo>=</mo><mfrac><mi>c32</mi><mi>b32</mi></mfrac></mtd></mtr><mtr><mtd><mi>dif</mi><mo>=</mo><mi>p31</mi><mo>-</mo><mi>p32</mi></mtd></mtr></mtable><mrow><mfenced close="|" open="|"><mi>dif</mi></mfenced><mo>⩾</mo><mn>2</mn><mo>∧</mo><mi>m3</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mfenced close="|" open="|"><mi>dif</mi></mfenced><mo>⩾</mo><mn>2</mn><mo>∨</mo><mfenced close="|" open="|"><mi>p31</mi></mfenced><mo>⩽</mo><mn>10</mn><mo>∧</mo><mfenced close="|" open="|"><mi>p32</mi></mfenced><mo>⩽</mo><mn>10</mn><mo>∧</mo><mi>a31</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>b31</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c31</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a32</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>b32</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c32</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f31</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>c31</mi><mo>-</mo><mi>a31</mi><mo>·</mo><mi>x</mi></mrow><mi>b31</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f32</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>c32</mi><mo>-</mo><mi>a32</mi><mo>·</mo><mi>x</mi></mrow><mi>b32</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g31</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>t3</mi><mo>,</mo><mi>f31</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>kolorea</mi><mo>=</mo><mi>gorria</mi><mo>,</mo><mi>lerro_zabalera</mi><mo>=</mo><mn>5</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g32</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>t3</mi><mo>,</mo><mi>f32</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>kolorea</mi><mo>=</mo><mi>berdea</mi><mo>,</mo><mi>lerro_zabalera</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>21</mn><mo>,</mo><mn>21</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>m4</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a41</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b41</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c41</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a42</mi><mo>=</mo><mi>m4</mi><mo>*</mo><mi>a41</mi></mtd></mtr><mtr><mtd><mi>b42</mi><mo>=</mo><mi>m4</mi><mo>*</mo><mi>b41</mi></mtd></mtr><mtr><mtd><mi>m5</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c42</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>100</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>ord1</mi><mo>=</mo><mfrac><mi>c41</mi><mi>b41</mi></mfrac></mtd></mtr><mtr><mtd><mi>ord2</mi><mo>=</mo><mfrac><mi>c42</mi><mi>b42</mi></mfrac></mtd></mtr><mtr><mtd><mi>diford</mi><mo>=</mo><mfrac><mi>ord2</mi><mi>ord1</mi></mfrac></mtd></mtr><mtr><mtd><mi>diford2</mi><mo>=</mo><mi>ord2</mi><mo>-</mo><mi>ord1</mi></mtd></mtr></mtable><mrow><mi>b41</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>b42</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mfenced close="|" open="|"><mi>ord1</mi></mfenced><mo>⩽</mo><mn>10</mn><mo>∧</mo><mfenced close="|" open="|"><mi>ord2</mi></mfenced><mo>⩽</mo><mn>10</mn><mo>∧</mo><mfenced close="|" open="|"><mi>diford2</mi></mfenced><mo>⩾</mo><mn>2</mn><mo>∧</mo><mfenced close="|" open="|"><mi>diford</mi></mfenced><mo>≠</mo><mi>m4</mi><mo>∧</mo><mi>m4</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a41</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c41</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a42</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f41</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>c41</mi><mo>-</mo><mi>a41</mi><mo>·</mo><mi>x</mi></mrow><mi>b41</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f42</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>c42</mi><mo>-</mo><mi>a42</mi><mo>·</mo><mi>x</mi></mrow><mi>b42</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g41</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>t4</mi><mo>,</mo><mi>f41</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>kolorea</mi><mo>=</mo><mi>gorria</mi><mo>,</mo><mi>lerro_zabalera</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g42</mi><mo>=</mo><mi>marraztu</mi><mfenced><mrow><mi>t4</mi><mo>,</mo><mi>f42</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>kolorea</mi><mo>=</mo><mi>berdea</mi><mo>,</mo><mi>lerro_zabalera</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>5</mn><mo>,</mo><mn>6</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f11</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>24</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f12</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>31</mn><mn>10</mn></mfrac><mo>*</mo><mi>x</mi><mo>+</mo><mfrac><mn>79</mn><mn>10</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>-</mo><mn>7</mn><mo>,</mo><mo>-</mo><mn>10</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ekuazioak Ebatzi ekuazio hau #F

]]> Kontuan izan ekuazio batzuk ez dutela soluziorik

]]> 1.0000000 0.1000000 0 0 #sol Zorionak!!!

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>(</mo><mo>)</mo><mo> </mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>9</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>F</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>r</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>*</mo><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>r</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>=</mo><mi>r</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mi>r</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>*</mo><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>r</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>=</mo><mi>r</mi><mo>(</mo><mo>)</mo></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>F</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>3.7473</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Elkartu grafikoa dagokion ekuazioarekin Aukeratu ezazu grafiko bakoitzari dagokion ekuazioa

]]> 1.0000000 0.3333333 0 true Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> #t1

]]> #sol1 #t2

]]> #sol2 #t3

]]> #sol3 #t4

]]> #sol4 #sol5 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo>;</mo><mo> </mo><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo>;</mo><mo> </mo><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo>;</mo><mo> </mo><mi>s4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo> </mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x3</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x4</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mi>a1</mi><mo>*</mo><mo>(</mo><mi>x1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mi>a2</mi><mo>*</mo><mo>(</mo><mi>x2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a3</mi><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b3</mi><mo>=</mo><mi>a3</mi><mo>*</mo><mo>(</mo><mi>x3</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a4</mi><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b4</mi><mo>=</mo><mi>a4</mi><mo>*</mo><mo>(</mo><mi>x4</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mi>a1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>sol1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mi>a2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s2</mi><mo>,</mo><mi>sol2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mi>a3</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b3</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>sol3</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mi>a4</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mi>sol4</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol5</mi><mo>=</mo><mo>(</mo><mi>a4</mi><mo>-</mo><mn>1</mn><mo>)</mo><mo>*</mo><mi>x</mi><mo>+</mo><mi>b4</mi><mo>+</mo><mn>1</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>,</mo><mi>sol2</mi><mo>,</mo><mi>sol3</mi><mo>,</mo><mi>sol4</mi><mo>,</mo><mi>sol5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>,</mo><mo>-</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>,</mo><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>,</mo><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Errodun funtzioen definizio-eremua Zein da f(x)=#fx funtzioaren definizio-eremua?

 
]]> 1.0000000 0.3333333 0 true true none Primeran!

]]> Akatsak zuzendu...

Pentsatu: zer baldintza bete behar du balio batek bere erroa kalkulatu ahal izateko?

]]> Berriz ere saiatu.

Gogoratu: errokizun negatibodun erroak ezin ditugu kalkulatu. Beraz, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/msqrt»«/math»dugunean, x-ren zein balioentzat «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#8805;«/mo»«mn»0«/mn»«/math» betetzen den ikusiko dugu.

]]> #dom1

]]> #dom2

]]> #dom3

]]> #dom4

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_1</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>*</mo><mo>(</mo><mi>x_1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fx</mi><mo>=</mo><msqrt><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom1</mi><mo>=</mo><mi>eremua</mi><mo>(</mo><msqrt><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msqrt><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom2</mi><mo>=</mo><mi>eremua</mi><mo>(</mo><msqrt><mrow><mo>-</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msqrt><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom3</mi><mo>=</mo><mi>eremua</mi><mo>(</mo><msqrt><mrow><mi>f</mi><mo>(</mo><mo>-</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msqrt><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom4</mi><mo>=</mo><mi>eremua</mi><mo>(</mo><msqrt><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msqrt><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>10</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom1</mi><mo>,</mo><mo> </mo><mi>dom2</mi><mo>,</mo><mo> </mo><mi>dom3</mi><mo>,</mo><mo> </mo><mi>dom4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>⩽</mo><mo>-</mo><mn>5</mn><mo>,</mo><mi>x</mi><mo>⩾</mo><mo>-</mo><mn>5</mn><mo>,</mo><mi>x</mi><mo>⩾</mo><mn>6</mn><mo>,</mo><mi>x</mi><mo>⩽</mo><mo>-</mo><mn>6</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Errodun funtzioen definizio-eremua_2 Zein da f(x)=#fx funtzioaren definizio-eremua?

 
]]> 1.0000000 0.3333333 0 true true none Primeran!

]]> Akatsak zuzendu...

Pentsatu: zer baldintza bete behar du balio batek bere erroa kalkulatu ahal izateko?

]]> Berriz ere saiatu.

Gogoratu: errokizun negatibodun erroak ezin ditugu kalkulatu. Beraz, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/msqrt»«/math»dugunean,  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#8805;«/mo»«mn»0«/mn»«/math» x-ren zein balioentzat betetzen den ikusiko dugu.

]]> #dom1

]]> Primeran!!

]]> #dom2

]]> #dom3

]]> #dom4

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>(</mo><mo>)</mo><mo>:=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>a</mi><mo>(</mo><mo>)</mo><mo>*</mo><mi>x</mi><mo>+</mo><mi>a</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fx</mi><mo>=</mo><msqrt><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom1</mi><mo>=</mo><mi>eremua</mi><mo>(</mo><msqrt><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msqrt><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom2</mi><mo>=</mo><mi>eremua</mi><mo>(</mo><msqrt><mrow><mo>-</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msqrt><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom3</mi><mo>=</mo><mi>eremua</mi><mo>(</mo><msqrt><mrow><mi>f</mi><mo>(</mo><mo>-</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msqrt><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom4</mi><mo>=</mo><mi>eremua</mi><mo>(</mo><msqrt><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></msqrt><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dom1</mi><mo>,</mo><mo> </mo><mi>dom2</mi><mo>,</mo><mo> </mo><mi>dom3</mi><mo>,</mo><mo> </mo><mi>dom4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>2</mn><mo>⩽</mo><mi>x</mi><mo>⩽</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>2</mn><mo>,</mo><mi>x</mi><mo>⩾</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>2</mn><mo>∨</mo><mi>x</mi><mo>⩽</mo><mo>-</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>2</mn><mo>,</mo><mo>-</mo><msqrt><mn>2</mn></msqrt><mo>-</mo><mn>1</mn><mo>⩽</mo><mi>x</mi><mo>⩽</mo><msqrt><mn>2</mn></msqrt><mo>-</mo><mn>1</mn><mo>,</mo><mo>-</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>1</mn><mo>⩽</mo><mi>x</mi><mo>⩽</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Eskola p(ezA eta ezB)  

Eskola bateko #a ikasletatik, #c-k Euskera gainditzen dute, #s-k  Gaztelania eta #cs-k irakasgai biak gainditzen dituzte. Kalkulatu ikasle bat zoriz aukeratuta, irakasgai biak suspeditu dituen bat izateko probabilitea.

Hurbildu emaitza bi hamartarretara

]]> 1.0000000 0.5000000 0 0 #p <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tolerantzia_erlatiboa</mi><mo>(</mo><mi>faltsu</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>perdoi_o_tolerantzia</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>005</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>300</mn><mo>.</mo><mo>.</mo><mn>700</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>400</mn><mo>.</mo><mo>.</mo><mn>500</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cs</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>100</mn><mo>.</mo><mo>.</mo><mi>min</mi><mo>(</mo><mi>c</mi><mo>,</mo><mi>s</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>c</mi><mo>+</mo><mi>s</mi><mo>-</mo><mi>cs</mi><mo>+</mo><mi>ausazko</mi><mo>(</mo><mn>100</mn><mo>.</mo><mo>.</mo><mn>300</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mn>1</mn><mo>-</mo><mfrac><mrow><mi>c</mi><mo>+</mo><mi>s</mi><mo>-</mo><mi>cs</mi></mrow><mi>a</mi></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>487</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>416</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cs</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>223</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>938</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.28</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session> ]]></wirisCasSession><correctAnswers><correctAnswer>#p</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Funtzio baten adierazpen grafikoa f(x)=#h funtzioari honako grafiko hau al dagokio?

#p

]]> 1.0000000 1.0000000 0 Verdadero Falso <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>ausazko</mi><mo>(</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>,</mo><mi>x</mi><mo>,</mo><mfrac><mn>1</mn><mi>x</mi></mfrac></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>f</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>g</mi><mo>,</mo><mi>f</mi><mo>(</mo><mo>)</mo></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>g</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>:</mo><mo>=</mo><mo>(</mo><mi>g</mi><mo>=</mo><mi>h</mi><mo>)</mo><mo>?</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>,</mo><mi>h</mi><mo>,</mo><mi>r</mi><mo>&nbsp;</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mi>x</mi></mfrac><mo>,</mo><mfrac><mn>1</mn><mi>x</mi></mfrac><mo>,</mo><mi>ziur</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>,</mo><mi>h</mi><mo>,</mo><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>,</mo><mi>x</mi><mo>,</mo><mi>faltsu</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session> ]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Funtzio baten adierazpen grafikoa Adierazpen grafikoa eta analitikoa bat datoz «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mi»#h«/mi»«/math»?
#p

]]> 1.0000000 1.0000000 0 Verdadero Oso ondo!!!!

]]> Falso Ez duzu asmatu!!!!

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>ausazko</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><msup><exponentiale/><mi>x</mi></msup><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>,</mo><msup><mi>x</mi><mn>3</mn></msup><mo>,</mo><msup><mi>x</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>,</mo><msup><mi>x</mi><mrow><mo>-</mo><mn>2</mn></mrow></msup><mo>,</mo><mi>ln</mi><mo> </mo><mi>x</mi><mo>,</mo><mo> </mo><mi>sin</mi><mo> </mo><mi>x</mi><mo>,</mo><mo> </mo><mi>cos</mi><mo> </mo><mi>x</mi></mtd></mtr></mtable></mfenced></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>f</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>f</mi><mo>(</mo><mo>)</mo><mo>,</mo><mi>g</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>g</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>:=</mo><mo>(</mo><mi>g</mi><mo>=</mo><mi>h</mi><mo>)</mo><mo>?</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>,</mo><mi>h</mi><mo>,</mo><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cos</mi><mfenced><mi>x</mi></mfenced><mo>,</mo><mi>cos</mi><mfenced><mi>x</mi></mfenced><mo>,</mo><mi>ziur</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>,</mo><mi>h</mi><mo>,</mo><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><exponentiale/><mi>x</mi></msup><mo>,</mo><msup><mi>x</mi><mn>2</mn></msup><mo>,</mo><mi>faltsu</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session> ]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Funtzio baten definizio eremua Esan zein den ondorengo funtzioaren definizio eremua:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mi»#p«/mi»«/math»

]]> 1.0000000 0.1000000 0 true true abc (#q)

]]> #i1

]]> #i2

]]> (#i3)

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800">librería</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><msqrt><mrow><mi>a</mi><mo>*</mo><mi>x</mi><mo>-</mo><mn>2</mn></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j</mi><mo>=</mo><mi>ln</mi><mo>(</mo><mi>x</mi><mo>-</mo><pi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>d</mi><mo>,</mo><mi>j</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p1</mi><mo>=</mo><mi>cosec</mi><mo>(</mo><mi>c</mi><mo>/</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p2</mi><mo>=</mo><mi>sin</mi><mo>(</mo><mi>asin</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>p1</mi><mo>,</mo><mi>p2</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mn>2</mn><mo>/</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>-</mo><mi>c</mi><mo>/</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mi>f</mi><mo>=</mo><mi>d</mi><mo>)</mo><mo> </mo><mo>∧</mo><mo> </mo><mo>(</mo><mi>h</mi><mo>=</mo><mi>p1</mi><mo>)</mo></mrow><mtable><mtr><mtd><mi>q</mi><mo>=</mo><mo>(</mo><mi>t1</mi><mo>,</mo><cn>+∞</cn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i1</mi><mo>=</mo><reals/><mo>-</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>i2</mi><mo>=</mo><reals/></mtd></mtr><mtr><mtd><mi>i3</mi><mo>=</mo><mo>(</mo><cn>-∞</cn><mo>,</mo><mi>t1</mi><mo>)</mo></mtd></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mi>f</mi><mo>=</mo><mi>d</mi><mo>)</mo><mo> </mo><mo>∧</mo><mo> </mo><mo>(</mo><mi>h</mi><mo>=</mo><mi>p2</mi><mo>)</mo></mrow><mtable><mtr><mtd><mi>q</mi><mo>=</mo><mfenced><mrow><mi>t1</mi><mo>,</mo><cn>+∞</cn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>i1</mi><mo>=</mo><reals/><mo>-</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>i2</mi><mo>=</mo><reals/></mtd></mtr><mtr><mtd><mi>i3</mi><mo>=</mo><mo>(</mo><cn>-∞</cn><mo>,</mo><mi>t1</mi><mo>)</mo></mtd></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mi>f</mi><mo>=</mo><mi>j</mi><mo>)</mo><mo> </mo><mo>∧</mo><mo> </mo><mo>(</mo><mi>h</mi><mo>=</mo><mi>p1</mi><mo>)</mo></mrow><mtable><mtr><mtd><mi>q</mi><mo>=</mo><mo>(</mo><pi/><mo>,</mo><cn>+∞</cn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i1</mi><mo>=</mo><reals/><mo>-</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><pi/></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>i2</mi><mo>=</mo><reals/><mo>-</mo><mo>{</mo><mn>0</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>i3</mi><mo>=</mo><mo>(</mo><mo>-</mo><pi/><mo>,</mo><cn>+∞</cn><mo>)</mo></mtd></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mi>f</mi><mo>=</mo><mi>j</mi><mo>)</mo><mo> </mo><mo>∧</mo><mo> </mo><mo>(</mo><mi>h</mi><mo>=</mo><mi>p2</mi><mo>)</mo></mrow><mtable><mtr><mtd><mi>q</mi><mo>=</mo><mo>(</mo><pi/><mo>,</mo><cn>+∞</cn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i1</mi><mo>=</mo><reals/><mo>-</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><pi/></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>i2</mi><mo>=</mo><reals/><mo>-</mo><mo>{</mo><mn>0</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>i3</mi><mo>=</mo><mo>(</mo><mo>-</mo><pi/><mo>,</mo><cn>+∞</cn><mo>)</mo></mtd></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mfrac><mi>f</mi><mi>h</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/><mo>-</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><reals/></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><cn>-∞</cn><mo>,</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>,</mo><cn>+∞</cn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session> ]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Funtzio baten jarraitasuna Funtzio bakoitzeko esan jarraia ala etena den eta etena bada, eten mota.

]]> 1.0000000 0.1000000 0 true #A1

]]> Essential discontinuity #B1

]]> Removable discontinuity #C1

]]> Jauzia #D1

]]> Jarraia <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi><mo>=</mo><mfrac><mn>2</mn><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s3</mi><mo>=</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s4</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s5</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mi>b</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tA</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mi>puntu</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>2</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a3</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s2</mi><mo>,</mo><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A1</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>tA</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>a1</mi><mo>,</mo><mi>a2</mi><mo>,</mo><mi>a3</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tB</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mi>puntu</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>99</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b3</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mo>(</mo><mn>2</mn><mo>.</mo><mn>01</mn><mo>,</mo><mn>8</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b5</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>mida_punt</mi><mo>=</mo><mn>30</mn></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b4</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>,</mo><mo>{</mo><mi>mida_punt</mi><mo>=</mo><mn>10</mn><mo>,</mo><mi>kolorea</mi><mo>=</mo><mi>txuri</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B1</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>tB</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>b1</mi><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>b5</mi><mo>,</mo><mi>b4</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tC</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>2</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><mi>puntu</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>s4</mi><mo>,</mo><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C1</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>tC</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>c1</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>c3</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tD</mi><mo>=</mo><mi>tabloia</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D1</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>tD</mi><mo>,</mo><mi>s5</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tabloia2</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session> ]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Funtzio esponentzialak Lotu funtzio esponentzial bakoitza dagokion adierazpen analitikoarekin.

 

Oharra:  Aukeretan f(x)= e^(x-2) - 1 agertzen denean, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»e«/mi»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/msup»«mo»-«/mo»«mn»1«/mn»«/mstyle»«/math» ulertuko dugu.

]]> 1.0000000 0.2500000 0 true Primeran!

]]> Akatsak zuzendu...

Gogoratu: f(x)=ex+a + b funtzioan, b koefizienteak asintota horizontala zein duen adierazten digu; hau da, oinarriko funtzioa goruntz (+b) edo beheruntz (-b) zenbat unitate desplazatu den.

]]> Berriz ere saiatu!

Gogoratu: f(x)=ex+a + b funtzioa izanik

  • b koefizienteak asintota horizontala zein duen adierazten digu; hau da, oinarriko funtzioa goruntz (+b) edo beheruntz (-b) zenbat unitate desplazatu den.
  • a koefizienteak oinarriko funtzioa eskubiruntz (-a) edo ezkerreruntz (+a) zenbat unitate desplazatu den adierazten digu. [ikus oinarrizko funtzioaren (0,1) puntu esanguratsuaren desplazamendua].
]]> #g1

]]> f(x)= #f1 #g2

]]> f(x)= #f2 #g3

]]> f(x)= #f3 f(x)= #f4 f(x)= #f5 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800">librería</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>(</mo><mo>)</mo><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>exp</mi><mo>(</mo><mi>x</mi><mo>+</mo><mi>a</mi><mo>(</mo><mo>)</mo><mo>)</mo><mo>+</mo><mi>a</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>f1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><msup><exponentiale/><mrow><mi>x</mi><mo>+</mo><mi>a</mi><mo>(</mo><mo>)</mo></mrow></msup><mo>+</mo><mi>a</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s2</mi><mo>,</mo><mi>f2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><msup><exponentiale/><mrow><mi>x</mi><mo>+</mo><mi>c3</mi></mrow></msup><mo>+</mo><mi>d3</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>f3</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c4</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d4</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><msup><exponentiale/><mrow><mi>x</mi><mo>+</mo><mi>c4</mi></mrow></msup><mo>+</mo><mi>d4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c5</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d5</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><msup><exponentiale/><mrow><mi>x</mi><mo>+</mo><mi>c5</mi></mrow></msup><mo>+</mo><mi>d5</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><exponentiale/><mi>x</mi></msup></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tablero1</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><exponentiale/><mrow><mi>x</mi><mo>+</mo><mn>5</mn></mrow></msup><mo>-</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tablero2</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><exponentiale/><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msup><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tablero3</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><exponentiale/><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><exponentiale/><mrow><mi>x</mi><mo>+</mo><mn>5</mn></mrow></msup><mo>-</mo><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Funtzio kuadratikoa Lotu parabola bakoitza dagokion adierazpen analitikoarekin.

 

Oharra:  Erantzunetan x^2 dagoen lekuan x2 ulertu behar da.

]]> 1.0000000 0.2500000 0 true Primeran!

]]> Akatsak zuzendu...

Gogoratu: a koefizientea positiboa bada parabolaren adarrak goruntz begira egongo dira, eta negatiboa bada, berriz, beheruntz.

]]> Berriz ere saiatu!

Gogoratu: 

  • a koefizientea positiboa bada parabolaren adarrak goruntz begira egongo dira, eta negatiboa bada, berriz, beheruntz.
  • parabola osatzen duten puntuek adierazpen analitikoaren berdintza bete behar dute: (0, c) puntua 
]]> #g1

]]> f(x)= #f1 #g2

]]> f(x)= #f2 #g3

]]> f(x)= #f3 f(x)= #f4 f(x)= #f5 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800">librería</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo><mi>s2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo><mi>s3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mi>punto</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mn>20</mn><mo>,</mo><mn>20</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><mi>a1</mi><mo>*</mo><mi>b1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>c1</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>d1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>d1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s1</mi><mo>,</mo><mi>f1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><mi>a2</mi><mo>*</mo><mi>b2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>c2</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>d2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>d2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s2</mi><mo>,</mo><mi>f2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a3</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b3</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi><mo>=</mo><mi>a3</mi><mo>*</mo><mi>b3</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>c3</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>d3</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>d3</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>s3</mi><mo>,</mo><mi>f3</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a4</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b4</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c4</mi><mo>=</mo><mi>a4</mi><mo>*</mo><mi>b4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d4</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mi>c4</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>d4</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>d4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a5</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b5</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c5</mi><mo>=</mo><mi>a5</mi><mo>*</mo><mi>b5</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d5</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi><mo>=</mo><mi>c5</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>d5</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>d5</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g3</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi><mo>+</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Funtzio linealak: grafikoa ekuazioarekin erlazionatu Grafikoan azaltzen den funtzioa dagokion ekuazioarekin elkartu:

#graf

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> #sol1

]]> Oso ongi. Zorionak. Jarraitu praktikatzen]]> #sol2

]]> Ez duzu asmatu. Jarraitu praktikatzen]]> #sol3

]]> Ez duzu asmatu. Jarraitu praktikatzen]]> #sol4

]]> Ez duzu asmatu. Jarraitu praktikatzen]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>*</mo><mo>(</mo><mi>x1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>graf</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mo>-</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mi>f</mi><mo>(</mo><mo>-</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mo> </mo><mi>sol1</mi><mo>,</mo><mi>sol2</mi><mo>,</mo><mi>sol3</mi><mo>,</mo><mi>sol4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn><mo>,</mo><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>12</mn><mo>,</mo><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>8</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Funtzioak eta grafikoak bat al datoz Grafikoan azaltzen den funtzioa, f(x)=#h  funtzioaren adierazpena al da?

#p

]]> 1.0000000 1.0000000 0 Verdadero Oso ondo, jarraitu beste batekin!

]]> Falso Ez duzu asmatu. Saiatu beste batekin!

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mo>)</mo><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn><mo>,</mo><mo>&nbsp;</mo><mo>-</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>,</mo><mo>&nbsp;</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn><mo>,</mo><mo>&nbsp;</mo><mo>-</mo><mi>x</mi><mo>,</mo><mo>&nbsp;</mo><msup><mi>x</mi><mn>2</mn></msup><mo>&nbsp;</mo><mo>,</mo><mo>&nbsp;</mo><mfrac><mn>2</mn><mi>x</mi></mfrac><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>f</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mi>f</mi><mo>(</mo><mo>)</mo><mo>,</mo><mi>g</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>g</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>:=</mo><mo>(</mo><mi>g</mi><mo>=</mo><mi>h</mi><mo>)</mo><mo>?</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>,</mo><mo>&nbsp;</mo><mi>h</mi><mo>,</mo><mo>&nbsp;</mo><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn><mo>,</mo><mo>-</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>,</mo><mi>falso</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>,</mo><mo>&nbsp;</mo><mi>h</mi><mo>,</mo><mo>&nbsp;</mo><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn><mo>,</mo><mo>-</mo><mi>x</mi><mo>-</mo><mn>1</mn><mo>,</mo><mi>falso</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Funtzioen grafikoak identifikatu «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«/math» #h funtzioari ondorengo grafikoa dagokio

                    #p

]]> 1.0000000 1.0000000 0 Verdadero Izan beti gogoan funtzio mota bakoitzaren ezaugarriak.

]]> Falso Izan beti gogoan funtzio mota bakoitzaren ezaugarriak.

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>a1</mi><mo>*</mo><mi>a2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mo>)</mo><mo>:=</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><msup><exponentiale/><mi>x</mi></msup><mo>,</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b</mi><mo>,</mo><mo>&nbsp;</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>,</mo><msup><mfenced><mrow><mi>x</mi><mo>+</mo><mi>b</mi></mrow></mfenced><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>,</mo><msup><mi>x</mi><mrow><mo>-</mo><mn>2</mn></mrow></msup><mo>,</mo><mi>ln</mi><mo>&nbsp;</mo><mi>x</mi><mo>,</mo><mi>sin</mi><mo>&nbsp;</mo><mi>x</mi><mo>,</mo><mi>cos</mi><mo>&nbsp;</mo><mi>x</mi><mo>}</mo><mo>)</mo><mo>&nbsp;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>f</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mi>f</mi><mo>(</mo><mo>)</mo><mo>,</mo><mi>g</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>marraztu</mi><mo>(</mo><mi>g</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>:=</mo><mo>(</mo><mi>g</mi><mo>=</mo><mi>h</mi><mo>)</mo><mo>?</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>,</mo><mi>h</mi><mo>,</mo><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>,</mo><mi>ziur</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Galton-en aparatua Galton-en aparatua bola bat tope baten kontra talka egin ostean eskumara edo ezkerrera desplazatzen duen mekanismo bat da. Bola behin eta berriz tope batekin talka egin eta eskuma edo ezkerrera desplazatzen da azkenean gelaxka batean jausi arte.

Aztertu honako irudia eta jarrai ezazu bertan agertzen diren jarraibideak esperimentua askotan eginez:

Egin esperimentua 100 aldiz (F9-ri ehun aldiz sakatuz) eta ikusi zer gertatzen den.

Ondoren, kalkula ezazu bolak gelaxka bakoitzean jausteko probabilitatea zein den.

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1.0000000 0.0000000 0 editor 15 0 <question/> Grafikoak Ondorengo grafikoak ematen digun informazioa laburki azaldu, tarte bakoitzean ematen den abiadura zehaztuz. Grafiko hori izan dezakeen adibide bat asmatu.

Grafikoa

]]> 1.0000000 0.0000000 0 editor 20 0 <question/> Inecuaciones. Inecuación de 2º grado. Respuesta Corta.
#s
Escribe la solución de la inecuación de 2º grado, siguiendo la notación siguiente:
  • Si la solución es un único intervalo, éste se debe escribir utilizando el símbolo &. Puedes seguir el ejemplo siguiente: x>3&x<8
  • Si la solución son dos intervalos separados, debes utilizar el símbolo | que se obtiene pulsando Alt Gr y el 1 a la vez. Por ejemplo: x<1|x>5.
  • Si no tiene solución, debes escribir falso.
  • El símbolo mayor o igual se debe escribir >=.
  • El símbolo menor o igual se escribirá <=.
  • La fracción se debe escribir con el símbolo /.
  • Si fuera negativa la fracción pondremos un - delante del numerador.
]]> 1.0000000 0.1000000 0 0 #ss <question><wirisCasSession>&lt;session lang=&quot;es&quot; version=&quot;2.0&quot;&gt;&lt;library closed=&quot;false&quot;&gt;&lt;mtext style=&quot;color:#ffc800&quot; xml:lang=&quot;es&quot;&gt;variables&lt;/mtext&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;repeat&lt;/csymbol&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatorio&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;s1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatorio&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;s2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatorio&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;∧&lt;/mo&gt;&lt;mi&gt;s1&lt;/mi&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;∧&lt;/mo&gt;&lt;mi&gt;s2&lt;/mi&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s1&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s2&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatorio&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;{&lt;/mo&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mo&gt;&amp;lt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mo&gt;&amp;gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mo&gt;&amp;les;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;mo&gt;&amp;ges;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;}&lt;/mo&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;ss&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;resolver_inecuación&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/library&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;ss&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;&amp;ges;&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;mo&gt;&amp;amp;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;&amp;les;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession><correctAnswers><correctAnswer type="mathml"> #ss </correctAnswer></correctAnswers><localData><data name="cas">false</data><data name="inputField">textField</data></localData></question> kuboa Zenbat aurpegi ditu kubo batek erpin berean?{#1}

Zenbat aurpegiri egiten diote komun ertz bakoitzak kubo batean?{#2}

]]> Kontuan izan kubo batek sei aurpegi dituela!!!!

]]> 3.0000000 0.3333333 0 <question><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession">null</data></localData></question> Lehen mailako ekuazioa Ondorengo ekuazioa ebatzi:

#enun

Pauso guztiak azaldu behar dituzu, bata bestearen azpiko lerroan idatziz.

]]> Berriz ere saiatu! Animo!

]]> 1.0000000 0.3333333 0 0 #sol Primeran!!!

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a3</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a4</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a5</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>ausazko</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn></mtd></mtr></mtable></mfenced></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>ebatz</mi><mfenced><mrow><mfrac><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mi>a1</mi></mrow><mrow><mn>2</mn><mi>b</mi></mrow></mfrac><mo>-</mo><mfrac><mrow><mi>a2</mi><mo>+</mo><mi>x</mi></mrow><mi>b</mi></mfrac><mo>=</mo><mi>a3</mi><mo>-</mo><mfrac><mrow><mn>3</mn><mfenced><mrow><mi>a4</mi><mo>*</mo><mi>x</mi><mo>-</mo><mi>a5</mi></mrow></mfenced></mrow><mi>c</mi></mfrac></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>enun</mi><mo>=</mo><mi>katea_ordeztu</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mo>#</mo><mn>1</mn></mrow><mrow><mo>#</mo><mn>8</mn></mrow></mfrac><mo>-</mo><mfrac><mrow><mo>#</mo><mn>2</mn><mo>+</mo><mi>x</mi></mrow><mrow><mo>#</mo><mn>6</mn></mrow></mfrac><mo>=</mo><mo>#</mo><mn>3</mn><mo>-</mo><mfrac><mrow><mn>3</mn><mfenced><mrow><mo>#</mo><mn>4</mn><mi>x</mi><mo>-</mo><mo>#</mo><mn>5</mn></mrow></mfenced></mrow><mrow><mo>#</mo><mn>7</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>a1</mi><mo>,</mo><mi>a2</mi><mo>,</mo><mi>a3</mi><mo>,</mo><mi>a4</mi><mo>,</mo><mi>a5</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mn>2</mn><mi>b</mi></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>enun</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>6</mn></mrow><mn>14</mn></mfrac><mo>-</mo><mfrac><mrow><mn>3</mn><mo>+</mo><mi>x</mi></mrow><mn>7</mn></mfrac><mo>=</mo><mn>5</mn><mo>-</mo><mfrac><mrow><mn>3</mn><mfenced><mrow><mn>5</mn><mi>x</mi><mo>-</mo><mn>6</mn></mrow></mfenced></mrow><mn>5</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>331</mn><mn>105</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Lotu grafikoa eta adierazpen analitikoa Ondoko grafikoa funtzio honi dagokio f(x)=#h?

#p

]]> 1.0000000 1.0000000 0 Verdadero Falso <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mo>&nbsp;</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><msup><mi>e</mi><mi>x</mi></msup><mo>,</mo><mo>&nbsp;</mo><msup><mi>x</mi><mn>2</mn></msup><mo>,</mo><mo>&nbsp;</mo><msqrt><mi>x</mi></msqrt><mo>,</mo><mo>&nbsp;</mo><mfrac><mn>1</mn><mi>x</mi></mfrac><mo>,</mo><mo>&nbsp;</mo><mi>logx</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>f</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>&nbsp;</mo><mi>f</mi><mo>(</mo><mo>)</mo><mo>,</mo><mi>g</mi><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mo>&nbsp;</mo><mi>g</mi><mo>&nbsp;</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>:</mo><mo>=</mo><mo>(</mo><mi>g</mi><mo>=</mo><mi>h</mi><mo>)</mo><mo>?</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Monomioen arteko biderkadura Biderka itzazu bi monomio hauek:

( #p1 ) * ( #p2 ) =

OHARRA: a xn  horrela idatzi dezakezu: a * x ^ n

]]> Saiatu zaitez berriz!!!

]]> 1.0000000 0.1000000 0 0 #sol Oso ongi, jarraitu horrela!!!

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p1</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>*</mo><msup><mi>x</mi><mrow><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p2</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo><mo>*</mo><msup><mi>x</mi><mrow><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>p1</mi><mo>*</mo><mi>p2</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p1</mi><mo>,</mo><mo> </mo><mi>p2</mi><mo>,</mo><mo> </mo><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>,</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo>,</mo><mn>40</mn><mo>*</mo><msup><mi>x</mi><mn>5</mn></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Parabola lantzen Grafikoan agertzen den parabolari aukeran daudenen artean dagokion aukeratu behar duzu:

                                #g

]]> 1.0000000 0.3333333 0 true true abc Zure erantzuna zuzena da.

]]> Zure galdera zuzena da neurri batean.

]]> Zure erantzuna ez da zuzena

]]> #d1

]]> OSO ONDO !!!

]]> #d2

]]> #d3

]]> #d4

]]> #d5

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>(</mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>)</mo><mo>/</mo><mo>{</mo><mn>0</mn><mo>}</mo><mo>)</mo><mo>*</mo><mo> </mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:=</mo><mi>a</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>b</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>c</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mo>-</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>-</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d4</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>+</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d5</mi><mo>=</mo><mo>-</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>+</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Parabolak eta erpinak Ondoko adierazpen analitikoa f(x)=#g duen parabolaren erpina beheko abszisan dago?

                  #p

]]> Animo!!

]]> 1.0000000 1.0000000 0 Verdadero Falso <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>2</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mtd></mtr></mtable></mfenced><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mo>)</mo><mo>:=</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>f</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>f</mi><mo>(</mo><mo>)</mo><mo>,</mo><mi>g</mi></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>:=</mo><mo>(</mo><mi>g</mi><mo>=</mo><mi>h</mi><mo>)</mo><mo>?</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Polinomio baten deribatua eta bere adierazpen grafikoa Funtzio polinomiko honetan «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mfenced»«mi»x«/mi»«/mfenced»«mo»=«/mo»«/math»#f, idatzi bere deribatua {#1} eta jarri ezazu zein den funtzioaren grafikoa «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math» {#2}.]]> 2.0000000 0.1000000 0 <question><wirisCasSession>&lt;session lang=&quot;es&quot; version=&quot;2.0&quot;&gt;&lt;library closed=&quot;false&quot;&gt;&lt;mtext style=&quot;color:#ffc800&quot; xml:lang=&quot;es&quot;&gt;variables&lt;/mtext&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;t1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;tablero&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;altura&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;anchura&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;t2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;tablero&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;altura&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;anchura&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;t3&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;tablero&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;altura&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;anchura&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;:=&lt;/mo&gt;&lt;mi&gt;aleatorio&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mi&gt;aleatorio&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;repeat&lt;/csymbol&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mo&gt;:=&lt;/mo&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;grado&lt;/mi&gt;&lt;mfenced&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;/mfenced&gt;&lt;mo&gt;&amp;gt;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mo&gt;&amp;apos;&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;p1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;dibujar&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;t1&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;p2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;dibujar&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;t2&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;p3&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;dibujar&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;t3&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mo&gt;&amp;apos;&lt;/mo&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/library&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;p1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;tablero1&lt;/mi&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;p2&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;tablero2&lt;/mi&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;p3&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;tablero3&lt;/mi&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession><localData><data name="cas">false</data></localData></question> Polinomioak1 Faktoriza ezazu ondorengo polinomioa:

#poli

]]> 1.0000000 0.1000000 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>:</mo><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>:</mo><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>:</mo><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x3</mi><mo>:</mo><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>poli</mi><mo>:</mo><mo>=</mo><mi>a</mi><mo>·</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>x1</mi><mo>)</mo><mo>·</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>x2</mi><mo>)</mo><mo>·</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>x3</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>faktorizatu</mi><mo>(</mo><mi>poli</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="times_operator">·</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Polinomioen faktorizazioa P(x)= #P polinomioari ondorengo faktorizazioa dagokio: #fakt

]]> 1.0000000 1.0000000 0 Verdadero Falso <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>c</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fakt</mi><mo>=</mo><mi>faktorizatu</mi><mo>(</mo><mi>P</mi><mo>,</mo><integers/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>em</mi><mo>:=</mo><mo>(</mo><mi>P</mi><mo>=</mo><mi>fakt</mi><mo>)</mo><mo>?</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo>,</mo><mi>fakt</mi><mo>,</mo><mi>em</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn><mo>,</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfenced><mo>,</mo><mi>faltsu</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Puntuen koordenatuak Esan ezazu zeintzuk diren irudi honetan azaltzen diren puntuaren koordenatuak: #fig

Idatzi ezazu erantzuna parentesi artean eta koordenatuak komaz bananduta)

{#1}

]]> 1.0000000 0.3333333 0 Oso ongi, asmatu duzu!}]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo>=</mo><mi>punto</mi><mo>(</mo><mi>x1</mi><mo>,</mo><mi>x2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fig</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>P</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>,</mo><mi>x2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn><mo>,</mo><mn>7</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>2</mn><mo>,</mo><mo>-</mo><mn>2</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> RUFFINIREN ZATIKETA (ZATIKIZKOAK)  P = #p y Q = #q. Kalkulatu polinomioen arteko zatiketa eta idatzi zein den C eta R :

C: ZATIDURA P : Q
R: HONDARRA P : Q




]]> Aurrera!

]]> 1.0000000 0.1000000 0 0 C=#CR=#R]]> Zorionak!

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><library closed="false"><mi style="color:#ffc800">aldagaiak</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mfrac><mrow><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>)</mo></mrow><mrow><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></mrow></mfrac><mo>*</mo><msup><mi>x</mi><mrow><mi>ausazko</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>5</mn><mo>)</mo></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mrow><mi>q</mi><mo>:</mo><mo>=</mo><mi>f</mi><mo>(</mo><mo>)</mo><mo>+</mo><mi>f</mi><mo>(</mo><mo>)</mo><mo>+</mo><mi>f</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>gradu</mi><mo>(</mo><mi>q</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>∧</mo><msub><mi>q</mi><mrow><mi>gradu</mi><mo>(</mo><mi>q</mi><mo>)</mo></mrow></msub><mo>=</mo><mn>1</mn><mo>∧</mo><msub><mi>q</mi><mn>0</mn></msub><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mrow><mi>p</mi><mo>:</mo><mo>=</mo><mi>f</mi><mo>(</mo><mo>)</mo><mo>+</mo><mi>f</mi><mo>(</mo><mo>)</mo><mo>+</mo><mi>f</mi><mo>(</mo><mo>)</mo><mo>+</mo><mi>f</mi><mo>(</mo><mo>)</mo><mo>+</mo><mi>f</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>gradu</mi><mo>(</mo><mi>p</mi><mo>)</mo><mo>⩾</mo><mi>gradu</mi><mo>(</mo><mi>q</mi><mo>)</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>:</mo><mo>=</mo><mi>zatidura</mi><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mo>:</mo><mo>=</mo><mi>hondar</mi><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>4</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>31</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>159</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>793</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3965</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mo>#</mo><mi>C</mi><mspace linebreak="newline"/><mi>R</mi><mo>=</mo><mo>#</mo><mi>R</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Trigonometria problema  

Behatu irudiari eta ondoko datuei:

     DISTANTZIA: a= #a metro

     ANGELUA :   A= #b  radian

     ANGELUA:    B= #c  radian

         Kalkulatu c distantziaren luzera

Trigonometría

 

Aukeratu erantzun zuzena:

{#1}

]]> 1.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>400</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>0</mn><mo>,</mo><mfrac><pi/><mn>4</mn></mfrac><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>0</mn><mo>,</mo><mfrac><pi/><mn>4</mn></mfrac><mo>)</mo></mtd></mtr><mtr><mtd><mi>y</mi><mo>=</mo><mfrac><mrow><mi>tan</mi><mo>(</mo><mi>c</mi><mo>)</mo></mrow><mrow><mi>tan</mi><mo>(</mo><mi>b</mi><mo>)</mo></mrow></mfrac></mtd></mtr></mtable><mrow><mi>y</mi><mo>&lt;</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>tan</mi><mo>(</mo><mi>c</mi><mo>)</mo></mrow><mrow><mn>1</mn><mo>-</mo><mi>y</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>e</mi><mo>=</mo><mi>d</mi><mo>+</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>f</mi><mo>=</mo><mi>d</mi><mo>+</mo><mn>5</mn></mtd></mtr><mtr><mtd><mi>g</mi><mo>=</mo><mi>d</mi><mo>+</mo><mn>7</mn></mtd></mtr></mtable></math></input></command></group></library></session> ]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Tuerka baten bolumena Nola kalkulatuko zenduke tuerka baten bolumena? Zein gorputz geometriko da? Esplika itzazu hitz gutxitan zeintzuk izango lirateke eman beharreko pausuak:

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 1.0000000 0.0000000 0 editor 15 0 <question/> Zatiki aljebraikoen sinplifikazioa Sinplifikatu ondoko zatiki aljebraikoa

#enun

]]> 1.0000000 0.1000000 0 0 #sol Oso ondo

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mi style="color:#ffc800">aldagaiak_1</mi><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>errepikatu</mi><mo> </mo><mi>c</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo> </mo><mi>arte</mi><mo> </mo><mi>c</mi><mo>≠</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>=</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>a</mi></mrow></mfenced><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>c</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>enun</mi><mo>=</mo><mi>katea_ordeztu</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn></mrow><mrow><mo>#</mo><mn>2</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>n</mi><mo>,</mo><mi>d</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mi>n</mi><mi>d</mi></mfrac></math></input></command></group></library></session> ]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Zuzen baten malda «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mi»y«/mi»«mo»+«/mo»«mi»m«/mi»«mo»-«/mo»«mn»4«/mn»«mo»=«/mo»«mn»0«/mn»«/math» zuzena izanik, kalkulatu m-ren balioa ondorengoa bete dadin:

a) Zuzena (1, -2) puntutik igarotzen da. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«mo»=«/mo»«/math»{#1}

b) Zuzena «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»y«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mn»2«/mn»«/mfrac»«/math» zuzenarekiko perpendikularra da. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«mo»=«/mo»«/math»{#2}

 

]]> 3.0000000 0.3333333 0 <question><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Zuzen baten zuzen ortogonala puntu batean Zein da zuzen honen #r zuzen ortogonala  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»p«/mi»«mo»=«/mo»«mi»#p«/mi»«/math» puntutik pasatzen dena? #q ]]> 1.0000000 0.1000000 0 0 #s <question><wirisCasSession>&lt;session lang=&quot;en&quot; version=&quot;2.0&quot;&gt;&lt;library closed=&quot;false&quot;&gt;&lt;mtext style=&quot;color:#ffc800&quot; xml:lang=&quot;es&quot;&gt;variables&lt;/mtext&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;repeat&lt;/csymbol&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;random&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;random&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt; &lt;/mo&gt;&lt;mo&gt;∧&lt;/mo&gt;&lt;mo&gt; &lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;random&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;line&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;repeat&lt;/csymbol&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;point&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;random&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;random&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;∩&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo&gt;==&lt;/mo&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd/&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;perpendicular&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;plot&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;plot&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt;{&lt;/mo&gt;&lt;mi&gt;label&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt; &lt;/mo&gt;&lt;mi&gt;show_label&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;true&lt;/mi&gt;&lt;mo&gt;}&lt;/mo&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/library&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;13&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession><correctAnswers><correctAnswer type="mathml"> #s </correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="0"/><assertion name="equivalent_symbolic" correctAnswer="0"/></assertions><localData><data name="inputField">inlineEditor</data><data name="inputCompound">false</data><data name="cas">add</data><data name="casSession">&lt;session lang=&quot;en&quot; version=&quot;2.0&quot;&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</data></localData></question> Zuzen eta parabolaren arteko ebaki-puntua Kalkulatu «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»:«/mo»«/math»#f eta «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»g«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»:«/mo»«/math»#g funtzioen arteko ebakidura puntuak.

 

Oharra: Emaitzak adierazteko modua:

  • Bi ebaki-puntu ditugunean:  (balioa,balioa) eta (balioa,balioa)
  • Ebaki-puntu bakarra dugunean: (balioa,balioa) eta (Q)
  • Ebaki-punturik ez badago: (P) eta (Q)
]]> 1.0000000 0.3333333 0 0 (#P) eta (#Q)]]> Primeran!!

]]> <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>(</mo><mo>)</mo><mo>:=</mo><mi>a</mi><mo>*</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>(</mo><mo>)</mo><mo>:=</mo><mi>ausazko</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>m</mi><mo>(</mo><mo>)</mo><mo>*</mo><mi>x</mi><mo>+</mo><mi>n</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>ausazko</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>m</mi><mo>(</mo><mo>)</mo><mo>*</mo><mi>x</mi><mo>+</mo><mi>n</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>em</mi><mo>=</mo><mi>ebatz</mi><mfenced><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p1</mi><mo>=</mo><mi>f</mi><mo>(</mo><msub><mi>em</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p2</mi><mo>=</mo><mi>f</mi><mo>(</mo><msub><mi>em</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo>=</mo><mo>(</mo><msub><mi>em</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub><mo>,</mo><mi>p1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Q</mi><mo>=</mo><mo>(</mo><msub><mi>em</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub><mo>,</mo><mi>p2</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>em</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><msqrt><mn>7</mn></msqrt></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><msqrt><mn>7</mn></msqrt></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><msqrt><mn>7</mn></msqrt><mo>,</mo><mo>-</mo><mn>3</mn><mo>*</mo><msqrt><mn>7</mn></msqrt><mo>+</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Q</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>7</mn></msqrt><mo>,</mo><mn>3</mn><mo>*</mo><msqrt><mn>7</mn></msqrt><mo>+</mo><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>P</mi><mo>)</mo><mo>&#160;</mo><mi mathvariant="normal">e</mi><mi>t</mi><mi>a</mi><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>Q</mi><mo>)</mo></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Zuzen ukitzailea Kalkulatu«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«/math»#f  funtzioaren zuzen ukitzailearen ekuazioa  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mi»#p«/mi»«/math»  puntuan. #dib ]]> 1.0000000 0.1000000 0 0 #r #f Funtzio bera jarri duzu!! Saiatu berriro...

]]> <question><wirisCasSession>&lt;session lang=&quot;es&quot; version=&quot;2.0&quot;&gt;&lt;library closed=&quot;false&quot;&gt;&lt;mtext style=&quot;color:#ffc800&quot; xml:lang=&quot;es&quot;&gt;variables&lt;/mtext&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatorio&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;aleatorio&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;sen&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt; &lt;/mo&gt;&lt;mi&gt;cos&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;pi/&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;aleatorio&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;aleatorio&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;punto&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;recta&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mo&gt;&amp;apos;&lt;/mo&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;dib&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;dibujar&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;dib&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;dibujar&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;color&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;rojo&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/library&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;sen&lt;/mi&gt;&lt;mfenced&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;msqrt&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msqrt&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;pi/&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;msqrt&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;msqrt&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msqrt&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession><correctAnswers><correctAnswer type="mathml"> #r </correctAnswer><correctAnswer type="mathml"> #f </correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="0"/><assertion name="equivalent_symbolic" correctAnswer="0"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><localData><data name="inputField">inlineEditor</data><data name="inputCompound">false</data><data name="cas">false</data></localData></question> Zuzenak lantzen Lau funtizo lineal ikusiko dituzu. Lotu behar dituzu adierazpen grafiko eta analitikoak.

]]> 1.0000000 0.3333333 0 true Zure erantzuna zuzena da.

]]> Zure galdera zuzena da neurri batean.

]]> Zure erantzuna ez da zuzena

]]> #d1

]]> #sol1 #d2

]]> #sol2 #d3

]]> #sol3 #d4

]]> #sol4 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>t2</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>t3</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo>;</mo><mi>t4</mi><mo>=</mo><mi>tablero</mi><mo>(</mo><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><mi>a1</mi><mo>*</mo><mo>(</mo><mi>x1</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mi>a1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>t1</mi><mo>,</mo><mi>sol1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><mi>a2</mi><mo>*</mo><mo>(</mo><mi>x2</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mi>a2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>t2</mi><mo>,</mo><mi>sol2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a3</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b3</mi><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi><mo>=</mo><mi>a3</mi><mo>*</mo><mo>(</mo><mi>x3</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol3</mi><mo>=</mo><mi>a3</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b3</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>t3</mi><mo>,</mo><mi>sol3</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a4</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b4</mi><mo>:=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c4</mi><mo>=</mo><mi>a4</mi><mo>*</mo><mo>(</mo><mi>x4</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol4</mi><mo>=</mo><mi>a4</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>b4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d4</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>t4</mi><mo>,</mo><mi>sol4</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Zuzenaren ekuazioa identifikatu Begira ezazu irudi honetan azaltzen den zuzena. #fig2

Identifika ezazu hiru hauetatik zein den bere ekuazioa:

{#1}

]]> 1.0000000 0.3333333 0 Oso ongi, asmatu duzu!!!~%0%#r2#Ez duzu asmatu~%0%#r3#Ez duzu asmatu~%0%#r4#Ez duzu asmatu}]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>:=</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>:=</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>:=</mo><mi>y</mi><mo>=</mo><mo>-</mo><mi>x</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>:=</mo><mi>y</mi><mo>=</mo><mi>x</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fig2</mi><mo>=</mo><mi>dibujar</mi><mo>(</mo><mi>r1</mi><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>rojo</mi><mo>}</mo><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>1</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>