点的存在性的证明方法的分析 |
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引用本文: | 郑昌红.点的存在性的证明方法的分析[J].科教文汇,2011(27):98-98,107. |
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作者姓名: | 郑昌红 |
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作者单位: | 湖北经济学院统计与应用数学系,湖北·武汉430205 |
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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。
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关 键 词: | 连续 根的存在定理 介值定理 中值定理实 数理论 |
A Analysis of the Proving Method for the Existence of the Point |
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Authors: | Zheng Changhong |
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Institution: | Zheng Changhong |
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Abstract: | 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. |
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Keywords: | continuous the theorem of the existence of theroot medium number theory real number theory |
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