《中小学数学》初中版2009年第12期邵潇野的《不一定全等吗?》一文,用反证法证明了一个“正面的证明确实有难度”的平面几何命题,即“有两边及其中一边对角的平分线对应相等的两个三角形全等.”阅后较有启发,笔者经思索、探究,得到了该命题的一个别证与有趣的引申,现介绍如下,供读者参考. Shao Xiaoye's article, “Not necessarily congruent?”, Proves that a “positive proof does have difficulty” in the paper, that is, “there are two sides One side of the bisector of the diagonal corresponding to the equivalent of two triangles congruent. ”After reading more inspired, the author after thinking, exploring, obtained a proposition of the proposition and interesting extension, are presented below, for readers reference .