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分类讨论是一种重要的数学思想,不仅考查我们的数学基本知识与方法,而且考查了思维的深刻性.但是由于分类讨论的原则是不重复、不遗漏.对思维的严谨性要求较高,学生经常会考虑不全,导致失误.为此,本文结合初中所学知识介绍几种优化解题的思路,回避分类讨论.一、数形结合,回避讨论
Category discussion is an important mathematical thinking, not only to examine our basic knowledge of mathematics and methods, but also examines the profound nature of thinking.But because the principles of the classification of discussion is not repeated, omission.Strict thinking of the higher requirements, Students often consider incomplete, leading to mistakes.Therefore, this article combines the knowledge of junior high school to introduce several ideas to solve the problem of optimization, to avoid classification discussion.