LA HIPÉRBOLA

QUE ES UNA HIPÉRBOLA
[img]data:image/png;base64,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[/img]
ELEMENTOS DE LA HIPÉRBOLA
[list][*]Focos: son puntos fijos del plano. La recta sobre la que se ubican se llama eje principal y la distancia entre los dos focos se denomina distancia focal y se representa como 2c.[/*][*]Centro: es el punto medio entre los dos focos. La recta perpendicular al eje principal que pasa por el centro se llama eje imaginario.[/*][*]Vértices: son dos puntos de intersección de la hipérbola con su eje principal.[/*][*]Eje transversal: es el segmento que une los vértices de la hipérbola pasando por el centro. La longitud de este eje se simboliza 2a, donde a es la distancia del centro a un vértice. A la mitad de este eje se le llama semieje transversal y su longitud es a.[/*][*]Eje conjugado: es el segmento perpendicular al eje transversal que pasa por el centro, su longitud es 2b. A la mitad de este eje se le llama semieje conjugado y su longitud es b.[/*][*]Asíntotas: son líneas rectas a las que la hipérbola se aproxima a medida que se extiende hacia el infinito pero nunca las corta. Las ecuaciones de las asíntotas se derivan de la ecuación de la hipérbola.[/*][/list]

Information: LA HIPÉRBOLA