Ejemplo 6. Distancia más corta

[i]Sea A y B dos puntos que están en el mismo lado de una recta r. Encontrar el camino mínimo desde el punto A hasta B, pasando por un punto de la recta.[/i][br][br]Dibujamos una recta r y los dos puntos A y B.[br][img width=324,height=150]data:image/png;base64,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[/img][br]El problema quedará resuelto cuando esté determinado el punto E en la recta que hace que AE + EB[br]sea mínimo.[br][img width=348,height=200]data:image/png;base64,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[/img][br]Utilizando la herramienta [b]Simetría axial[/b] obtenemos el punto B' simétrico de B con respecto a la recta r.[br][img width=401,height=245]data:image/png;base64,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[/img][br]El camino más corto es AE + EB’ siendo E el punto de intersección del segmento AB’ con la recta r.[br][br][img width=353,height=215]data:image/png;base64,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tanto si AE + EB’ es el camino más corto, como BE = B'E, tenemos el camino más corto para ir desde[br]A hasta B pasando por un punto de la recta r.[br][img 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observar que la suma de distancias es mínima, hemos dibujado los dos segmentos utilizando la[br]herramienta [b]Poligonal[/b][url=https://wiki.geogebra.org/es/Herramienta_de_Poligonal][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAUABYAhQAAAAAAAAAAEQAACAAAGRkXGxkZGRkXHRsZGxkVGR0VHRkYGxEREQAAFQAAPwAANwAAJgAAKgAAOAAALhQAOAAANgAAOwIAQwAATgAAVAEAQwQAYgAAZAAAnAAAkgAAlQcAggAAhgAAvQAAtAEAsgAAwwAA/wAA5TcAHzMRESQAMlYAH2oAG5EAAJkAAMAAAMQAAsAGBscAAP8AAOwAAAECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwZhQIBwSCwaj0hHB8kEiEweI6Q4A1Rfl9GDiDltYLNqc/gxkcZGCUeFRKDFaGocWV3Mh/A7Xm+33hVyekJ5R25IL4JCFCUZd1UgJiVDDyMag1ZhRBUhFkMeJiJ+cw8dDomJQQA7[/img][/url] para que en la vista algebraica aparezca la medida que será la suma de los dos segmentos.[br]Para dibujar una poligonal hay que marcar los vértices de los segmentos, finalizando en el vértice inicial. En el caso anterior, pulsaremos los vértices en este orden: A, E, B y A.[br]En la vista algebraica aparece su longitud que es la suma de los dos segmentos.[br][br][img width=158,height=133]data:image/png;base64,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[/img][br][br]Para comprobar que es mínima podemos situar un nuevo punto C en la recta, dibujando la poligonal ACB.[br][br][img width=334,height=151]data:image/png;base64,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[/img][br]Al mover C observaremos que la mínima distancia se obtiene cuando C coincide con el punto E que ya habíamos obtenido.
Distancia mínima

Information: Ejemplo 6. Distancia más corta