回避分类讨论的小窍门

• 作 者: 杨厥帅
• 出 处: 新高考(语文数学英语)
• 发表日期: 2007年Z1期
• 关键词: 分类讨论 二次函数 恒成立 最值问题 数学思想方法 换底公式 等轴双曲线 常规思路 正弦定理 平面直角坐标系

分类讨论是一种重要的数学思想方法,是高考考查的重点和热点内容之一.因此在我们的学习中必须加强对分类讨论的理解与应用.与此同时,我们也要辨证地审视分类讨论,不能迷信分类讨论,应明确“分类讨论不一定是最简单的方法”.有些问题若运用分类讨论的思想来解决,则过程往往比较

Classification discussion is an important mathematical thinking method. It is one of the focus and hot topics of the college entrance examination. Therefore, we must strengthen the understanding and application of classification discussion in our study. At the same time, we also need to dialectically examine the classification discussion. It is not possible to superstitiously discuss classifications. It should be clarified that “category discussion is not necessarily the simplest method.” If some problems are solved using the ideas of class discussion, the process is often compared.