Hiperbola

Definición
Cuéllar (2019) define la hipérbola como "el lugar geométrico de todos los puntos del plano donde el valor absoluto de las diferencias de sus distancias a dos puntos fijos, llamados focos, es constante."[br][img]data:image/png;base64,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[/img][br][br]La gráfica de la hipérbola describe dos líneas curvas conocidas como ramas que se extienden hacia el infinito y que se abren de forma opuesta dependiendo de la orientación de la gráfica. [br]
Ejercicio 1
¿Cuáles son los elementos que conforman la gráfica de la hipérbola?[br][br]Define cada uno de sus elementos, al final elabora un dibujo que describa los elementos y adjúntalo en tu evidencia al entregar este trabajo[br]
Ejercicio 2
La hipérbola se introducen dos nuevos elementos que no se habían utilizado antes para las otras cónicas: el rectángulo auxiliar y las asíntotas, que, si bien no forman parte de la gráfica de la hipérbola, son fundamentales para poder trazarla.[br][br]Por ello es importante que identifique las diferentes formas de la ecuación de la hipérbole, elabora una tabla donde las puedas concentrar su forma ordinario (horizontal y vertical) y fu forma general, también incluye sus características.[br][br]Adjunta evidencia de la construcción de esta tabla al final del trabajo[br]
Ejercicio 3
Representa gráficamente la hipérbola cuya ecuación es [img]https://a14121-53546155.cluster211.canvas-user-content.com/courses/14121~140/files/14121~53546155/course%20files/bsma/BSMA2001/img/explicas/t8/40.png[/img] y determina su excentricidad. Dibuja esta hipérbole en el siguiente applet
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Information: Hiperbola