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拉格朗日中值定理的另一种证明
引用本文:王有文.拉格朗日中值定理的另一种证明[J].忻州师范学院学报,2012,28(2):1-2.
作者姓名:王有文
作者单位:太原理丁大学阳泉学院,山西阳泉,045044
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。

关 键 词:格朗日中值定理  凸集  平行线段  区间套定理  证明

Other Proof on Lagrange Median Theorem
WANG You-wen.Other Proof on Lagrange Median Theorem[J].Journal of Xinzhou Teachers University,2012,28(2):1-2.
Authors:WANG You-wen
Institution:WANG You-wen(Yangquan College,Taiyuan University of Technology,Yangquan 045044,China)
Abstract: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.
Keywords:Lagrange median theorem  convex set  parallel line  theorem of interlink of closed interval  proof
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