构造辅助函数在微积分证明中的应用

The Application of Constructing Auxiliary Function in Calculus Proof

微积分中中值定理的证明应用是一个难点,构造辅助函数是证题常用的手段之一,本文主要介绍构造辅助函数的三种方法：作差法、观察法和不定积分法。

The proof and application of mean value theorem is a difficult point in calculus. Constructing auxiliary function is one of the frequently adopted means to prove proposition. This article mainly introduces three methods of constructiong auxiliary function：the method of difference, the method of observation, and the method of indefinite integral.