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在平面几何证题中,学生最感难以入门的是引辅助线的问题。我们在教学中,就是要帮助学生如何分析题意,找出思路,从而总结出引辅助线的一些方法来。这里介绍“平行线”在证题中的作用。例如,在课堂上我举了这样一个基本题:
In the plane geometry test, the most difficult thing for students to get started is to introduce auxiliary lines. In our teaching, we need to help students analyze the meaning of the questions, find out ideas, and summarize some of the methods for guiding auxiliary lines. Here we introduce the role of “parallel lines” in the testimony. For example, in class I gave such a basic question: