分类讨论思想在解题中的应用

On the Application of Classified Discussion Idea to Problem-Solving

分类讨论思想就是把研究的问题根据题目的特点和要求,按照一个标准将问题划分成若干类,再转化成若干个小问题来解决。分类讨论作为一种重要的数学思想,在高中数学解题中得到了广泛的运用。本文选取分类讨论的典型数学例题进行分析,对分类讨论思想在解题中的应用提出了笔者自己的一些想法。

The idea of classified discussion is to divide a problem into several classifications in accordance with a certain standard and the characteristics and requirements of the problem, dividing it into several small ones. As an important mathematical thinking, classified discussion has been widely used in senior higher school mathematics. This paper discusses some typical examples using classified discussion method, and proposes the writer＇s own