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Quiz de Geometría Analítica

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Conceptos clave y fórmulas

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Colombia

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Quiz de Geometría Analítica
 

Quiz de Geometría AnalíticaOnline version

Conceptos clave y fórmulas

by David Perez
1

¿Qué fórmula define la distancia entre dos puntos A(x1,y1) y B(x2,y2)?

2

La pendiente de la recta que pasa por A(x1,y1) y B(x2,y2) es

3

La ecuación general de una recta es ax+by=c. ¿Qué condición garantiza que la recta es paralela a otra con la misma pendiente?

4

La ecuación de la circunferencia de radio r y centro (h,k) es

5

La distancia entre dos puntos en un eje vertical solo cambia en

6

El punto medio M entre A(x1,y1) y B(x2,y2) es

Explicación

La distancia usa el teorema de Pitágoras entre diferencias de coordenadas.

Pendiente es cociente de diferencias de y entre diferencias de x.

Dos rectas son paralelas cuando tienen la misma pendiente, es decir, poseen la misma inclinación aunque pasen por puntos diferentes.

Circunferencia: centro (h,k) y radio r, ecuación del conjunto de puntos a distancia r.

Si x es constante, solo cambia y al mover puntos verticalmente.

Promedio de cada coordenada para el punto medio.

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