几类不等式的证明

Proving Several Kinds of Inequalities

不等式的证明在高等数学通用教材中遇到的较多,学生对它的处理往往无从下手,主要是因为由条件向结论过渡的解题方向不易确定,但是高等数学中不等式的证明还是有一些规律可循的。本文就不等式的证明归纳出了证明方法和基本思路。

Proving inequalities is often in some text books of Advanced mathematics,and is not easy to be handled by students.It is mainly due to that the solving orientation from given conditions to conclusions is difficult to be determined.However,there are also some rules in the process of proving inequalities in Advanced mathematics.In this paper some useful methods and basic ways of thinking are considered.