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在教学中,立足于课本,对课本中的有些典型习题进行变形、引伸、拓广,通过一例解决一类,触类旁通,不仅有利于双基的落实,而且还可以培养学生分析问题解决问题的能力。试举一例说明。题目已知(如图1),点C为线段AB上一点,△ACM、△CBN是等边三角形,求证AN=BM。(《几何》第一册P153.10) 这是一道典型的几何题,要证AN=BM,只要
In teaching, based on textbooks, some typical exercises in textbooks are deformed, extended, and broadened. By solving one class by one example, comprehension by analogy is not only conducive to the implementation of dual-subjects, but also can cultivate students’ ability to analyze problems and solve problems. . Give an example. The title is known (see Figure 1). Point C is a point on the line AB, and △ACM, △CBN are equilateral triangles, verifying AN=BM. (Geometry, Volume 1, P153.10) This is a typical geometrical problem. To prove AN=BM,