有关圆锥曲线弦的中点问题 ,在现行解几教材中时常出现 ,本文将探讨解决此类问题的一种方法 ,我们称之为“中心对称变换法” .我们知道对于圆锥曲线Ｃ1 :Ａｘ2 +Ｃｙ2 +Ｄｘ+Ｅｙ +Ｆ =0 (1 )关于点Ｍ(ｘ0 ,ｙ0 )中心对称的曲线Ｃ2 的方程是Ａ(2ｘ0 -ｘ) 2 +Ｃ(2ｙ0 -ｙ) 2 +Ｄ The question of the midpoint of the chord of a conic curve is often seen in several textbooks of the current solution. This article will explore a method to solve this problem. We call it the “central symmetry transformation method.” We know that for the conic curve C1:Ax2 + Cy2 + Dx + Ey + F =0 (1) The equation for the center-symmetrical curve C2 about the point M (x0, y0) is A (2x0 -x) 2 + C (2y0 -y) 2 +D