在解决一些数学问题时,有时需要将涉及的所有对象按照一定的标准,分成若干类,然后逐步讨论,才能得出正确的解答,这种解题思想就是分类讨论思想.分类讨论应根据题目的要求进行分类,做到不重不漏,其一般步骤是①分类②讨论③归纳.下面举例说明如何妙用分类讨论思想处理绝对值问题.一、知识点上渗透的分类讨论思想1.有理数的分类:①按整分来分,可分为整数和分 When solving some math problems, it is sometimes necessary to classify all the involved objects into several categories according to certain criteria and then discuss them step by step so as to obtain the correct solution. This problem-solving idea is classified thinking. Classification discussion should be based on the topic Requirements classification, do not overdoing, the general steps are ① Classification ② Discussion ③ induction. The following examples illustrate how to use the classification of ideas to deal with the absolute value of the problem. First, the knowledge of the points on the infiltration of Category Discussion 1. Rational number of categories : ① points by the whole points can be divided into an integer and points