高中数学圆锥曲线离心率的求法

High-middle number method for calculating the eccentricity of conical curve

圆锥曲线包括圆,椭圆,双曲线,抛物线。圆锥曲线指到定点的距离与到定直线的距离的比e是常数的点的轨迹。当e>1时为双曲线,当e=1时为抛物线,当e<1时为椭圆。离心率是圆锥曲线中一个非常重要的性质,也是高考中必须掌握的基本技能。本文通过探讨高中数学圆锥曲线离心率的求法,总结相关的技巧,旨在让学生通过回归定义,观察图形,利用多种途径求出圆锥曲线离心率,提高解题效率。

conic curve includes circle,ellipse,hyperbola and parabola.A conic is the ratio of the distance from a point to a fixed point to the distance from a fixed line.When e > 1 is a hyperbola,when e = 1 is a parabola,and when e < 1 is an ellipse.Centrifugal rate is a very important property in conical curve,and it is also a basic skill to master in college entrance examination.This paper discusses high school math conic eccentricity,the application of minimal polyomial to summarize related skills,aims to let the student through regression definition,graphics,and using many kinds of ways to find the conic eccentricity,improve the efficiency of problem solving.