拉格朗日中值定理证明中辅助函数的不同构造方法

Different Construction Methods of Auxiliary Functions in the Proof of Lagrange Mean Value Theorem

通过分析教材中对拉格朗日中值定理证明时所构造的辅助函数,研究其特点,并进行推广,给出几种不同的构造辅助函数的方法.

By analyzing the auxiliary function of the Lagrange mean value theorem in the teaching materials,the characteristics of the method are studied,and some methods of constructing auxiliary function are given.