中学数学教材中所介绍的,都是基本的初等数学知识,在使用教材进行教学的时候,需要我们深入地加以钻研,熟悉知识的系统性和重点、难点等。但是这还不够,有时为了要更深入地弄清楚某一个概念或定理,深入浅出地把它讲清楚,教师往往需要掌握一些高等数学的知识。这里,仅就中学数学教材中的几个问题,来谈谈如何从高等数学的角度来进一步掌握它们。一、关于函数 High school mathematics teaching materials are introduced in basic elementary mathematics knowledge, teaching in the use of teaching materials, we need to be further study, familiar with the systematic and important knowledge, difficulties and so on. However, this is not enough. Sometimes, in order to make a clearer understanding of a certain concept or theorem and make it clear in simple terms, teachers often need to acquire some knowledge of advanced mathematics. Here, just a few questions in the textbook of high school mathematics to talk about how to further master them from the perspective of advanced mathematics. First, on the function