拉格朗日中值定理的另一种证明

Other Proof on Lagrange Median Theorem

格朗日中值定理是微分学中的一个重要定理,其证明方法有多种,但主要是通过构造函数进行的。文章提供了一种新的不通过构造函数进行证明的方法:借助于图形直观,构造一系列闭区间,利用区间套定理和文章提出的引理进行证明。

Lagrange Median Theorem is an important theorem in diferential calculus, there are several methods on proving it, but the main methods are constructing functions. A new method which does not depend on constructing functions are given, the method is to construct a series of closed intervals in terms of graph, then prove it in the light of theorem of interlink of closed interval and lemma that is offered in this paper.