构造辅助函数,然后通过求导的方法考察函数的单调性和最值,是证明不等式的常用方法．其中辅助函数的构造是证明的关键．下面撷取几例,谈谈构造函数的常用方法．一、通过移项,集中自变量构造函数例1 证明: 分析不等号两边均是关于x的函数,通 Constructing auxiliary functions and then investigating the monotonicity and the maximum value of the functions by the derivation method are the common methods to prove the inequality. The construction of auxiliary function is the key to prove. Here are a few examples to capture, talk about the common method of constructor. First, through the shift, focus on the argument constructor Example 1 Proof: Analysis inequalities on both sides of the function of x, pass