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分类思想是一种依靠数学对象的异同点，将其区分为不同种类的数学思想。在对问题的研究中，它一般是对题的条件（变量和参变量）按某一属性进行适当的逻辑化分，使之转化为各类子问题，然后逐一进行讨论。这种化分的过程可以表示为：
The classification idea is a kind of mathematics object that depends on the similarities and differences, and distinguishes it into different kinds of mathematical ideas. In the study of the problem, it is generally a matter of logically dividing the conditions (variables and parametric variables) of an item by a certain attribute so that it is converted into various types of sub-problems and then discussed one by one. This process of subdivision can be expressed as: