《中小学数学》(初中版)2011年第6期刊登了扈保洪老师的文章《也为一道习题构造反例》(以下简称“文1”)和彭浩、谷兴武两位老师的文章《怎样的三角形可以被分割为两个等腰三角形》(以下简称“文2”).“文1”着重介绍了怎样构造“一组对边相等,一组对角相等的四边形,不是平行四边形时的图形”.“文2”探讨了这样的一个问题:怎样的三角形可以分成两个 Primary and Secondary Mathematics (Junior Middle School) published in the 6th issue of 2011 on the article “How to Construct a Counterexample for a Problem” (hereinafter referred to as “Text 1”) and articles by Peng Hao and Gu Xingwu. The triangle can be divided into two isosceles triangles (hereinafter referred to as “text 2”). “Text 1” focuses on how to construct “a set of equal sides and a set of diagonal equal quadrilaterals.” A graphic that is not a parallelogram “.”Text2" explores the question of how a triangle can be divided into two