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在有关三角形全等的判定方法教学中,教师经常通过设计数学实验让学生验证判定方法的正确性.课堂上学生出现的质疑值得教师进行深刻思考.本文结合实例具体谈谈三角形全等的判定方法中的数学思考问题.1.三个基本事实的验证有必要融入数学思考.对基本事实ASA的学习教材通常都安排下述类似的实践活动:“请每个同学,使用量角器和刻度尺画一个三角形ABC,使它满足AB=70mm,∠A=60°,幼=80°.然后每个同学把△ABC剪下来,并与邻座同学的三角形互相叠放在一起,它们互相重合吗?”
In the teaching of judgments on triangle congruent, teachers often make students verify the correctness of the judging methods by designing mathematical experiments.Due to the students’ questioning in class, teachers should think deeply.This paper discusses the method of judging triangle congruent In the mathematical thinking of the problem .1 three basic facts of the verification necessary to integrate into the mathematical thinking of the basic facts ASA learning materials are usually arranged for the following similar practice: “Please each classmate, the use of protractor and scale ruler A triangle ABC, so that it meets the AB = 70mm, ∠A = 60 °, young = 80 ° .And then each classmate △ ABC cut off, and adjacent neighbors students triangle stacked on top of each other, they coincide? ”