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《中小学数学》2014年第1-2期刊登了两篇与动点有关的相似三角形的文章,对问题作了有益的探讨.但是文章也出现了一些不严密不完整之处,今提出来大家讨论.一袁民华的《三有形相似的两种表达方式的异同分析》一文(下称袁文),提到三角形相似的两种表达方式有本质的不同,即①“以A、D、E为顶点的三角形与△ABC相似,这里没有指明△ADE与△ABC的顶点对应关系.”②“△ADE~△ABC(对应点已经确定)”.但袁文的例2、例3的题目都用“△ADE与△ABC相似”取代“以A、D、F为顶点的三角形与△ABC相似”的表达方
“Primary and secondary mathematics” 2014 the first two published two articles with similar triangles related to the moving point, made a useful discussion of the problem, but the article also appeared some not strict and incomplete place, now proposed One Yuan Minhua’s article “Similarities and Differences Analysis of Two Representations of Three Tangible Similarities” (hereinafter referred to as Yuan Wen) mentions that there are essential differences between the two expressions of similar triangles, that is, ① “A, D, The triangle with E as the vertex is similar to △ ABC, and there is no indication of the correspondence between △ ADE and △ ABC. ② ”△ ADE ~ △ ABC (the corresponding point has been confirmed)“, but Yuan Wen’s case 2 3 are replaced by the expression ”△ ADE is similar to △ ABC“ instead of ”△ △, A, D, F vertices of the triangle and △ ABC similar" expression