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La Hipérbola: Quiz Rápido

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La Hipérbola: Quiz Rápido

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Quiz sobre hipérbolas

Created by

Carmen Elena Estrella Oviedo
Carmen Elena Estrella Oviedo
Mexico

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La Hipérbola: Quiz Rápido
 

La Hipérbola: Quiz RápidoOnline version

Quiz sobre hipérbolas

by Carmen Elena Estrella Oviedo
1

¿Qué caracteriza a una hipérbola en geometría analítica?

2

¿Cuál es la forma estándar horizontal de una hipérbola?

3

En la forma (x-h)^2/a^2 - (y-k)^2/b^2 = 1, ¿qué representa 'a'?

4

¿Qué representa 'c' en una hipérbola con parámetros a y b?

5

¿Qué son las asíntotas de una hipérbola horizontal (x-h)^2/a^2 - (y-k)^2/b^2 = 1?

6

¿Cómo es la hipérbola vertical (y-k)^2/a^2 - (x-h)^2/b^2 = 1 respecto a sus asíntotas?

7

¿Qué indica la distancia '2a' en una hipérbola?

8

¿Qué relación hay entre a, b y c en una hipérbola?

9

¿Qué es el foco de una hipérbola?

10

¿Qué describe mejor el centro (h,k) de una hipérbola?

Explicación

En una hipérbola, la diferencia de distancias a los dos focos es constante.

La forma horizontal tiene x primero y -1 en el lado derecho.

a es la distancia del centro al vértice a lo largo del eje transversal.

Focos: c^2 = a^2 + b^2 para hipérbola.

Asíntotas para horizontal tienen pendientes ±b/a.

Para vertical, las asíntotas tienen pendiente ±a/b.

La diferencia de distancias a los focos es 2a.

Focos a distancia c desde el centro, con c^2 = a^2 + b^2.

Los focos son dos puntos fijos que definen la hipérbola.

El centro es el punto de simetría y centro entre vértices.

 
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