Să se calculeze ecuația dreptei ce trece prin doua puncte A(#a,#b) și B(#c,#d).
Care din aceste drepte corespunde dreptei AB ?
înclinarea dreaptei (m)
Să se calculeze înclinarea dreptei ce trece prin doua puncte A(#a,#b) și B(#c,#d).
]]>
1.0000000
0.1000000
0
true
true
abc
#m
#p
#r
<question><wirisCasSession><session lang="en" 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"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>)</mo><mo>;</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>&ne;</mo><mi>c</mi><mo>;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>.</mo><mo>.</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>9</mn><mo>)</mo><mo>;</mo></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&nbsp;</mo><mtext>în</mtext><mi>clinarea</mi><mo>&nbsp;</mo><mi>dreptei</mi><mo>&nbsp;</mo><mi>este</mi><mo>:</mo></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>b</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ordenada</mi><mo>&nbsp;</mo><mo>&nbsp;</mo><mtext>în</mtext><mo>&nbsp;</mo><mi>origine</mi><mo>&nbsp;</mo><mi>este</mi><mo>:</mo></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>=</mo><mfrac><mrow><mi>b</mi><mo>*</mo><mo>&nbsp;</mo><mi>c</mi><mo>-</mo><mo>&nbsp;</mo><mi>d</mi><mo>*</mo><mi>a</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>m</mi><mo>·</mo><mi>x</mi><mo>+</mo><mi>n</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mi>point</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</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>point</mi><mo>(</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>plot</mi><mfenced><mrow><mi>A</mi><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>red_1</mi><mo>}</mo></mrow></mfenced><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>plot</mi><mfenced><mrow><mi>B</mi><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>red_1</mi><mo>}</mo></mrow></mfenced><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>plot</mi><mo>(</mo><mi>y</mi><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blue_1</mi><mo>}</mo><mo>)</mo><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><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mn>1</mn><mo>+</mo><mi>m</mi></math></input></command></group></library><group><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"><mi>x</mi><mo>+</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</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>n</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>p</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</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>2</mn></math></output></command><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><localData><data name="cas">false</data></localData></question>
Ordinata în origine a dreaptei(n)
Să se calculeze ordinata în origine a dreptei ce trece prin doua puncte A(#a,#b) și B(#c,#d).
]]>
1.0000000
0.1000000
0
true
true
abc
#n
#p
#r
<question><wirisCasSession><session lang="en" 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"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>5</mn><mo>)</mo><mo>;</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>&ne;</mo><mi>c</mi><mo>;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>.</mo><mo>.</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>9</mn><mo>)</mo><mo>;</mo></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&nbsp;</mo><mtext>în</mtext><mi>clinarea</mi><mo>&nbsp;</mo><mi>dreptei</mi><mo>&nbsp;</mo><mi>este</mi><mo>:</mo></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mfrac><mrow><mi>d</mi><mo>-</mo><mi>b</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ordenada</mi><mo>&nbsp;</mo><mo>&nbsp;</mo><mtext>în</mtext><mo>&nbsp;</mo><mi>origine</mi><mo>&nbsp;</mo><mi>este</mi><mo>:</mo></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>=</mo><mfrac><mrow><mi>b</mi><mo>*</mo><mo>&nbsp;</mo><mi>c</mi><mo>-</mo><mo>&nbsp;</mo><mi>d</mi><mo>*</mo><mi>a</mi></mrow><mrow><mi>c</mi><mo>-</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>m</mi><mo>·</mo><mi>x</mi><mo>+</mo><mi>n</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mi>point</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</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>point</mi><mo>(</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>plot</mi><mfenced><mrow><mi>A</mi><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>red_1</mi><mo>}</mo></mrow></mfenced><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>plot</mi><mfenced><mrow><mi>B</mi><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>red_1</mi><mo>}</mo></mrow></mfenced><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>plot</mi><mo>(</mo><mi>y</mi><mo>,</mo><mo>{</mo><mi>color</mi><mo>=</mo><mi>blue_1</mi><mo>}</mo><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>n</mi><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>n</mi><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></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>2</mn></mfrac><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>n</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>p</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</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>5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session></wirisCasSession><localData><data name="cas">false</data></localData></question>
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