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如图,P是△ABC的边AB上一点,连结CP,我们称△ACP和△ABC为“子母”三角形“子母”三角形有两个明显的特点:其一,有一条公共边;其二,有一个公共角,要证其相似,只需证∠ACP=∠B或AC:AP=AB:AC(即AC~2=AP·AB)即可. 在几何证题中,从分析要证的结论和观察图形入手,结合题目的已知条件,对照“子母”三角形的相似特点,就会自然迅速地打通思路,本
As shown in the figure, P is a point on the side AB of △ABC, which links CP. We call △ACP and △ABC as “child” triangles. The “child” triangle has two distinct features: First, there is a common edge; Second, there is a public horn. To prove its similarity, you only need to prove that ACP=∠B or AC:AP=AB:AC (ie, AC~2=AP·AB). In the geometry, from the analysis Starting with the conclusions and observation patterns of the certificate, combining the known conditions of the topic and comparing the similar characteristics of the “matrix” triangle, it will spontaneously and quickly connect ideas.