《中学生数学》(初中)2012年第4期的“含中点的几何综合题的解题策略”一文(下称文[1]),借助中点的条件,通过“倍长”线段的方法,给出了一道具有探究性的几何问题的两种思路,阅后深受启发.笔者经细致揣摩、探究,又得到了该问题的另两种更为简单、明晰的解法.现介绍如下,供读者参考. “Junior high school mathematics” (junior high school) in 2012 fourth issue “middle point containing geometric synthesis problem solving strategy ” article (hereinafter referred to as the text [1]), with the help of the midpoint conditions, "The method of line segment gives two ideas of exploratory geometric problems, which are inspired by reading. After careful examination and exploration, the author gets two more simple and clear solutions to the problem. Now introduced as follows, for readers reference.