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分类讨论是高中数学中一种重要的思想方法,同时也是一种重要的解题策略,体现了化整为零的思想,它在解答数学问题时发挥着重要的作用,并贯穿于中学数学始终。它揭示了研究对象之间的内在规律,有助于数学思维的培养和锻炼,能够使分析问题达到由繁到简的目的,有利于锻炼学生思维的逻辑性、综合性、探索性,使问题思考条理化、有序化。一、分类讨论的依据分类讨论是根据研究的数学对象在不同情况下得到不同的结论而
Category discussion is an important way of thinking in high school mathematics, but also an important problem-solving strategy, which embodies the idea of adjusting everything to zero. It plays an important role in solving mathematical problems and runs through middle school mathematics . It reveals the inherent laws among the research objects and helps to train and train the mathematical thinking. It can make the analysis problems reach the goal of being simple and easy, and it is logical, comprehensive and exploratory to make students think in exercise. Thinking of the orderly. First, the basis for the classification discussion Classification discussion is based on the study of mathematical objects in different situations get different conclusions and