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Descubriendo la Canónica #2

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Descubriendo la Canónica #2

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Deducir la ecuación canónica de la parábola traduciendo geométrica a lenguaje algebraico

Created by

Laura Moreno
Laura Moreno
Colombia

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Descubriendo la Canónica #2Online version

Deducir la ecuación canónica de la parábola traduciendo geométrica a lenguaje algebraico

by Laura Moreno
1

En esta sesión , demostramos que la parábola es un geométrico en el plano . Para deducir su , partimos de una configuración simplificada donde ubicamos un fijo y una recta llamada .
El primer criterio clave fue traducir esta situación geométrica a un lenguaje . Para ello , planteamos una de desde un punto cualquiera P ( x , y ) hacia nuestros dos elementos de referencia . Al aplicar la fórmula de la distancia entre dos puntos , apareció una cuadrada que logramos eliminar elevando al ambos miembros de la expresión . Tras simplificar los términos , resolvimos la expresión de forma adecuada hasta llegar a la forma , logrando interpretar cómo el álgebra describe perfectamente la curva que antes habíamos dibujado .

 
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