依据数学研究对象本质属性的相同点和差异点,将数学对象分为不同种类的数学思想叫做分类讨论思想.所谓分类思想,就是将事物进行分类,然后对划分的每一类分别进行研究和求解;当问题所给的对象不能进行统一研究时,就需要对研究对象按某个标准分类,然后对每一类分别剖析,得出每一类的结论,最后综合各类所得结果得到整个问题的解答.所谓分类讨论就是“化整为零,各个击破,再积零为整”的过程.事实证明,分类的优劣不仅决定着解法的简繁,而且直接 According to the same point and difference point of the essential attribute of mathematical research object, the mathematical object is divided into different kinds of mathematical ideas called the classified discussion thought.The so-called classification idea is to classify things and then to study and solve each category separately ; When the problem given by the object can not be a unified study, we need to classify the subjects according to a standard, and then analyze each category separately, come to the conclusion of each category, the final result of the various types of income to get the whole problem Answer.The so-called classification discussion is “consolidation is zero, each break, zero again for the whole ” process.It turns out that the pros and cons of classification not only determines the simple and easy solution, and direct