拉格朗日中值定理的另一种证明  

Other Proof on Lagrange Median Theorem

作　　者：王有文[1] 

机构地区：[1]太原理工大学阳泉学院,山西阳泉045044

出　　处：《忻州师范学院学报》2012年第2期1-2,共2页Journal of Xinzhou Teachers University

摘　　要：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.

关 键 词：格朗日中值定理 凸集 平行线段 区间套定理 证明 

分 类 号：O151.21[理学—数学]