Rolle定理的逆证新思考  

New Consider about Reduction to Absurdity on Rolle’s Theorem

作　　者：潘杨友[1] 

机构地区：[1]池州学院数学系,安徽池州247000

出　　处：《大学数学》2008年第5期165-168,共4页College Mathematics

摘　　要：Rolle定理是微分中值定理中最基本、最重要的,其证明具有广泛的代表性.本文侧重从分析定理的条件着手,利用反证法并借助确界原理、闭区间套原理等不同理论,给出了Rolle定理一些新的证法.Rolle theorem is the most basic and important one of the mean-value theorems for derivative and its demonstration is of extensive representation. In the thesis, the author mainly analyses the qualifications of Rolle theorem and brings forward the new demonstrations according to reduction to absurdity and some other theories, such as upper theorem and continuous induction.

关 键 词：确界 覆盖 连续归纳法 单调 

分 类 号：O172.1[理学—数学]