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在解决综合问题或复杂问题时,可将所研究对象的集合按照一定的标准,划分为若干个部分去分析研究,再把分析研究的结果综合起来,从而使原问题在总体上得以解决．这就是分类讨论的思想．运用这种思想解题,可将对问题的宏观研究转化为对问题的局部分析,起到化整为零、分而治之的目的,特别是在求解头绪繁多、易重易漏问题时,有独特功效． 1．求解方程问题涉及到参数范围与方程解集有关问题时,因其参数取值不同而导致方程分类变化和方程根的范围差异时,常会引发分类讨论问题,求解时应根据方程种类变化去确定分类标准．
When solving comprehensive problems or complex problems, the set of research objects can be divided into several parts according to certain criteria to analyze and study, and then the results of the analysis and research can be integrated so that the original problem can be solved in general. This is the idea of class discussion. The use of this ideological problem-solving problem can transform the macro-research of the problem into a partial analysis of the problem and serve the purpose of disintegration, separation, and governance. This is especially effective when solving multiple problems and problems. . 1. When solving the equation problem involving the problem of parameter range and equation solution set, the classification of the equation and the range of the root of the equation due to different parameter values will often cause classification and discussion problems. The solution should be based on the type of equation to determine the classification. standard.