论文部分内容阅读
在平面解析几何中,有些证明题用圆锥曲线的统一定义去证,既简捷又直观。本文以椭圆、双曲线为主选七道 证明题介绍给读者,仅供参考。 例1 设椭圆的焦点为F_i(i=1、2),M(x,y)是椭圆上的任一点,求证:|MF_i|=a±es(e为离心率)。
In plane analytic geometry, some proofs are proved by the uniform definition of conic curves, which is simple and intuitive. In this paper, the seven-fold proofs of ellipses and hyperbola are selected as the main candidates for reference only. Example 1 Let the focus of the ellipse be F_i (i=1, 2). M(x, y) is any point on the ellipse. Verify that |MF_i|=a±es (e is the eccentricity).