| 构造辅助函数在微积分证明中的应用 |
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| 引用本文： | 戴剑萍. 构造辅助函数在微积分证明中的应用[J]. 黄山学院学报, 2006, 8(3): 141-142 |
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| 作者姓名： | 戴剑萍 |
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| 作者单位： | 黄山学院,数学系,安徽,黄山,245021 |
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| 摘 要： | 微积分中中值定理的证明应用是一个难点,构造辅助函数是证题常用的手段之一,本文主要介绍构造辅助函数的三种方法：作差法、观察法和不定积分法。
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| 关 键 词： | 构造辅助函数 作差法 观察法 不定积分法 零点定理 罗尔定理 |
| 文章编号： | 1672-447X（2006）03-0141-02 |
| 收稿时间： | 2006-02-17 |
| 修稿时间： | 2006-02-17 |
The Application of Constructing Auxiliary Function in Calculus Proof |
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| Dai Jianping. The Application of Constructing Auxiliary Function in Calculus Proof[J]. Journal of Huangshan University, 2006, 8(3): 141-142 |
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| Authors: | Dai Jianping |
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| Affiliation: | Dai Jianping |
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| Abstract: | The proof and application of mean value theorem is a difficult point in calculus.Constructing auxiliary function is one of the frequently adopted means to prove proposition.This article mainly introduces three methods of constructiong auxiliary function:the method of difference,the method of observation,and the method of indefinite integral. |
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| Keywords: | constructing auxiliary function the method of difference the method of observation the method of indefinite integral zero-point theorem RoUe theorem |
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