Cálculo 001: Dado el gráfico y vértices de una elipse, determina centro y focos. Dado el gráfico de la siguiente elipse

#graf

cuyos vértices son los puntos «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#V1«/mi»«mo»,«/mo»«mo»§nbsp;«/mo»«mi»#V2«/mi»«mo»,«/mo»«mo»§nbsp;«/mo»«mi»#V3«/mi»«mo»§nbsp;«/mo»«mi»y«/mi»«mo»§nbsp;«/mo»«mi»#V4«/mi»«/math», entonces, tiene como centro y focos a los puntos:

]]> 1.0000000 1.0000000 0 false true abc #opa

]]> #opb

]]> #opc

]]> #opd

]]> #ope

]]> #opf

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>dibujar</mi><mfenced><mrow><mi>t1</mi><mo>,</mo><mi>V2</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>color</mi><mo>=</mo><mi>rojo</mi><mo>,</mo><mi>tamaño_punto</mi><mo>=</mo><mn>6</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dibujar</mi><mfenced><mrow><mi>t1</mi><mo>,</mo><mi>V3</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>color</mi><mo>=</mo><mi>rojo</mi><mo>,</mo><mi>tamaño_punto</mi><mo>=</mo><mn>6</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dibujar</mi><mfenced><mrow><mi>t1</mi><mo>,</mo><mi>V4</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>color</mi><mo>=</mo><mi>rojo</mi><mo>,</mo><mi>tamaño_punto</mi><mo>=</mo><mn>6</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mfenced><mrow><mo>"</mo><msub><mi>V</mi><mn>1</mn></msub><mo>"</mo><mo>,</mo><mi>V1</mi><mo>+</mo><mfenced close="]" open="["><mrow><mn>0</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>0</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mfenced><mrow><mo>"</mo><msub><mi>V</mi><mn>2</mn></msub><mo>"</mo><mo>,</mo><mi>V2</mi><mo>+</mo><mfenced close="]" open="["><mrow><mn>0</mn><mo>,</mo><mo>-</mo><mn>0</mn><mo>.</mo><mn>9</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mfenced><mrow><mo>"</mo><msub><mi>V</mi><mn>3</mn></msub><mo>"</mo><mo>,</mo><mi>V3</mi><mo>+</mo><mfenced close="]" open="["><mrow><mo>-</mo><mn>0</mn><mo>.</mo><mn>9</mn><mo>,</mo><mn>0</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>escribir</mi><mfenced><mrow><mo>"</mo><msub><mi>V</mi><mn>4</mn></msub><mo>"</mo><mo>,</mo><mi>V4</mi><mo>+</mo><mfenced close="]" open="["><mrow><mn>0</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>"</mo><msub><mi>F</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mn>1</mn><mo>,</mo><mo> </mo><msub><mi>F</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mn>2</mn><mo>,</mo><mo> </mo><mi>Centro</mi><mo>=</mo><mo>#</mo><mn>3</mn><mo>"</mo><mo>,</mo><mi>F1</mi><mo>,</mo><mi>F2</mi><mo>,</mo><mi>center</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>op1</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>"</mo><msub><mi>F</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mn>1</mn><mo>,</mo><mo> </mo><msub><mi>F</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mn>2</mn><mo>,</mo><mo> </mo><mi>Centro</mi><mo>=</mo><mo>#</mo><mn>3</mn><mo>"</mo><mo>,</mo><mi>F3</mi><mo>,</mo><mi>F4</mi><mo>,</mo><mi>center</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>op2</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>"</mo><msub><mi>F</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mn>1</mn><mo>,</mo><mo> </mo><msub><mi>F</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mn>2</mn><mo>,</mo><mo> </mo><mi>Centro</mi><mo>=</mo><mo>#</mo><mn>3</mn><mo>"</mo><mo>,</mo><mi>F5</mi><mo>,</mo><mi>F6</mi><mo>,</mo><mi>center</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>op3</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>"</mo><msub><mi>F</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mn>1</mn><mo>,</mo><mo> </mo><msub><mi>F</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mn>2</mn><mo>,</mo><mo> </mo><mi>Centro</mi><mo>=</mo><mo>#</mo><mn>3</mn><mo>"</mo><mo>,</mo><mi>F7</mi><mo>,</mo><mi>F8</mi><mo>,</mo><mi>center</mi></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>opa</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>"</mo><mi>Centro</mi><mo>=</mo><mo>#</mo><mn>1</mn><mo>"</mo><mo>,</mo><mi>center</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>opb</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>"</mo><msub><mi>F</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mn>1</mn><mo>"</mo><mo>,</mo><mi>F1</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>opc</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>"</mo><msub><mi>F</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mn>1</mn><mo>"</mo><mo>,</mo><mi>F2</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>opd</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>"</mo><mi>Centro</mi><mo>=</mo><mo>#</mo><mn>1</mn><mo>"</mo><mo>,</mo><mo>-</mo><mi>center</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ope</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>"</mo><msub><mi>F</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mn>1</mn><mo>"</mo><mo>,</mo><mi>F3</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>opf</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>"</mo><msub><mi>F</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mn>1</mn><mo>"</mo><mo>,</mo><mi>F4</mi></mrow></mfenced></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"/></comment></maction></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>op2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><ms>F</ms><mn>1</mn></msub><mo>=</mo><mfenced><mrow><msqrt><mn>7</mn></msqrt><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>2</mn></mrow></mfenced><ms>,</ms><mo> </mo><msub><ms>F</ms><mn>2</mn></msub><mo>=</mo><mfenced><mrow><mo>-</mo><msqrt><mn>7</mn></msqrt><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>2</mn></mrow></mfenced><ms>,</ms><mo> </mo><ms>Centro</ms><mo>=</mo><mfenced><mrow><mn>3</mn><mo>,</mo><mn>2</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>FO1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>FO1</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>