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一题多解,解法优化;一题多变,变中求同;多题一法,同模通法。这是数学解题与习题教学中非常重要的教学方法,也是学生学习的方法,对各个数学知识模块进行这三个维度的探究教学,非常有益于学生数学思维能力的培养。在数学课堂中,教师可以适当地通过对同一问题的不同表述方法,培养学生分析和解决实际数学问题的能力。本文主要侧重于思考与研究常见的几何特征模型的一些变式问题的结论,并介绍对问题变式的改编方法的思考。
A solution to many problems, solution optimization; a question changeable, change in the same; many questions a law, with the analog law. This is a very important teaching method in mathematics problem solving and exercises teaching as well as a method of student learning. It is very beneficial to students’ mathematical thinking ability to carry on the inquiry teaching of these three dimensions for each mathematical knowledge module. In math class, teachers can properly develop their ability to analyze and solve practical math problems through different ways of expressing the same problem. This paper mainly focuses on the conclusion of some variant problems of thinking and studying common geometric characteristic models and introduces the thinking of the adaptation method of problem variants.