分类讨论是将要研究的数学对象按照一定的标准划分若干不同的情形,然后再逐类进行研究和求解的一种数学解题方法。分类思想方法实质上是按照数学对象的共同性和差异性,将其区分为不同的种类从而化整为零,各个击破,然后对讨论的结果进行归纳、合并、综合得出结论。其作用是克服思维的片面性,防止漏解。 Category discussion is to study the mathematical object according to a certain standard division of a number of different situations, and then class by class to study and solve a mathematical problem solving method. In essence, the classification method is based on the commonality and difference of mathematical objects, which is divided into different categories so as to divide them into zero and each to break down. Then the conclusions of the discussions are summarized, merged and synthesized. Its role is to overcome one-sided thinking, to prevent leakage.