摘要
微分学中有3个著名的中值定理,其中Lagrange中值定理的证明,引入了辅助函数,然后由Rolle中值定理来证明Lagrange中值定理,这个突如其来的辅助函数很难理解和接受.利用参数变异法引入辅助函数,给出了一种辅助函数的“统一”构造法,并利用这种方法解决了一些具体问题.
There are three famous value theorems in the differential calculus. In the proof of Lagrange's mean value theorem,an auxiliary function is introduced to use Rolle's mean value theorem. This auxiliary function arises suddenly and it is very hard to allow student to comprehend. In this paper, we use a parameter alternating method to introduce auxiliary function , a unified construction method for auxiliary functions is given, and we can utilize this kind of method to solve some concrete problem.
出处
《重庆工商大学学报（自然科学版）》
2005年第4期406-408,共3页
Journal of Chongqing Technology and Business University:Natural Science Edition
关键词
微分中值定理
构造
辅助函数
积分
differential proposition of mean
construction
auxiliary function
integration
