分类讨论思想是一种依据数学对象本质属性的异同,将数学对象分为不同种类的数学思想,分类讨论是数学发现的重要手段,通过分类可以化整为零,化一般为特殊,化抽象为具体,使思维目的明确。例如概念的定义、图形的讨论、定理的证明、法则的推导等,都体现了分类讨论的思想。然 Classified discussion is a kind of thinking based on the nature of the similarities and differences between mathematical objects, the mathematical object is divided into different types of mathematical thinking, classification is an important means of mathematical discovery, through the classification can be adjusted to zero, the general is special, abstraction is Specific, so that the purpose of thinking clear. For example, the definition of the concept, the discussion of the graph, the proof of the theorem, the derivation of the law and so on all embody the thought of the category discussion. Of course