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程志南老师发表的文章《探讨添线法构造“A”、“X”型相似图形解“燕尾”形问题》(下称文1),笔者拜读后受益匪浅,被程志南老师严谨、认真、勤于思考的精神所感动.三角形相似的性质主要用于解决证明线段的比例以及求线段的长问题,但有些线段比例问题不能直接求得,往往需要通过添加平行线,构造相似三角形才得以解决.程志南老师在文1中分析了“A”、“X”型相似三角形的位置特征,并给出了过特殊分点添设平行线才能达到解
Cheng Zhinan’s article published in the article entitled “Discussion on the Construction of Similar Shape Solution of” A “and” X “ The teacher is rigorous, conscientious, diligent in thinking spirit touched triangle similar nature is mainly used to prove that the proportion of the line segment and the long line of the problem, but some lines can not be directly calculated the proportion of problems, often need to add parallel lines, the structure Similar to the triangle can be solved.Cheng Zhinan teacher in the text 1 analysis of ”A “, ”X " similar to the triangular shape of the location characteristics, and given the addition of special points in parallel lines to achieve solution