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当一个数学问题比较复杂时,可以将其分割成若干个小问题或分解为一系列的步骤,通过局部的解决来实现整体的完成.这就是分类与讨论的思想. 它实际上是一种化难为易,化繁为简的解题策略和方法。 一、分类讨论的原因 从引进分类讨论的因素分析,分类讨论问题可分为以下三类问题: (1)根据数学概念来确定分类标准 由于有些概念定义时是分类给出的,因此在解题时也必引起分类讨论.例如:绝对
When a mathematical problem is more complex, it can be divided into a number of small problems or broken down into a series of steps to achieve the overall completion through local solutions. This is the idea of classification and discussion. It is actually a kind of Difficulties, tactics and simple strategies and methods. I. Causes of Category Discussion From the analysis of the factors introduced into the classification discussion, the classification and discussion issues can be divided into the following three types of problems: (1) The classification criteria are determined according to the mathematical concepts. Since some concepts are defined by classification, they are At the same time, it will also cause classification discussion. For example: Absolute