点的存在性的证明方法的分析

摘要

本文主要讨论了在给定不同的条件下．证明点的存在性的一般分析方法。大体上分成三种情况：1）连续条件，利用连续函数的性质及其定理进行证明：2）可导或者积分，利用费马定理和中值定理证明；3）无连续或者可导条件时，通常需要用实数理论进行分析。%This paper mainly discusses on the common analysis method for the proving of the existence of the point in different certain conditions.There are generally three conditions：l）in co ntinuous condition,prove it by utilizing the characteristics and theorems of the continuous function＇,2）in conductibility condition, utilize Fermat Theorem;3）without continuous functions or cond- uctibility,it- is often proved by utilizing real number theory.