在平面解析几何中,直线与圆锥曲线相交弦的中点问题是平面解析几何中的重点问题、综合性问题,有一定的难度.尤其是圆锥曲线上两点关于某直线对称问题,在求某一变数的取值范围时,常见解法多数繁杂,解题过程冗长.本文给出下面四个定理,挖掘出了弦的中点的有关规律性问题.运用这四 In the plane analytic geometry, the midpoint of the intersection of the straight line and the conical curve is the key problem in the plane analytic geometry, and there is a certain degree of difficulty in the comprehensive problem, especially in the two points on the conic curve, In the range of a variable, the common solutions are mostly complicated and the problem-solving process is lengthy. In this paper, the following four theorems are given to mine the regularity of the mid-point of the string.