数学思想方法在高中不等式教学中的应用研究

Research on the Application of Mathematical Thinking Method in InequalityTeaching at Senior High School

新的概念、定理这些内容背后的数学思想是推动数学发展的重要动力,不等式的教学内容中普遍蕴含着中学常见的几种数学思想方法,高中数学教材第一册中不等式内容是高中数学非常重要的内容,现实世界的很多不等关系都是通过不等式进行刻画的。基于此,该文就高中不等式教学中渗透了数形结合思想、化归思想、分类讨论思想、函数与方程思想方法,培养学生良好的思维进行了实践应用。

The mathematical thought behind the new concepts and theorems is an important driving force to promote the development of mathematics.The teaching content of inequality generally contains several common mathematical thinking methods in middle school.The inequality content in the first volume of high school mathematics textbook is a very important content of high school mathematics,and many unequal relations in the real world are described by inequality.This paper in this paper,the ideas of combination of number and shape,conversion,classification and discussion,function and equation are introduced into the teaching of inequality in senior high school.