对于证明与函数有关的不等式,或已知不等式在某范围恒成立求参数取值范围、讨论一些方程解的个数等类型问题时,常常需要构造辅助函数.题目本身特点不同,所构造的函数可有多种形式,解题的繁简程度也因此而不同.本文给出几种常用的构造技巧.一、直接构造例1实数k为何值时,不等式e~x≥kx对 It is often necessary to construct auxiliary functions for proving inequalities related to functions, or finding the range of values ​​for the known inequalities in a certain range, and discussing the number of solutions to some equations. The topics themselves have different characteristics and the constructed functions There are many forms, the degree of complexity of the problem is therefore different.This article gives several commonly used construction techniques.First, the direct construction of a real number k for example, the inequality e ~ x ≥ kx pairs