不等式的几种证明方法探究

The Investigation of Several Proof Methods of Inequality

不等式的证明问题是高等数学教学中的重要内容之一,对不等式证明方法进行研究不仅有助于培养学生的思维能力,而且能够提高学生解决实际问题的能力.以几个典型例题为基础分别介绍了基于公式法、中值定理方法、函数的性质、级数理论以及极值理论等几种不等式的证明方法与技巧.

The problem of proof of inequality is one of the important contents in advanced mathematics teaching.The study of the proof methods for inequality not only helps cultivate the students＇thinking ability,but also can improve the ability for solving practical problem of students.Based on formula approach,mean value theorem,the properties of the function,series theory and extreme value theory,several typical proof approaches and techniques are introduced systematically in this paper.