| 拉格朗日定理证明与辅助函数的应用 |
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| 引用本文： | 林忠. 拉格朗日定理证明与辅助函数的应用[J]. 天津职业院校联合学报, 2006, 8(5): 131-134 |
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| 作者姓名： | 林忠 |
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| 作者单位： | 西昌学院,四川,西昌,615000 |
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| 摘 要： | 微分中值定理的证明和应用,大量采用了辅助函数。通过分析各种教科书对拉格朗日定理证明中引用辅助函数的和典型题目的研究,试图找出构造辅助函数的内在规律。
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| 关 键 词： | 罗尔定理 拉格朗日定理 柯西定理 不等式证明 辅助函数 |
| 文章编号： | 1673-582X(2006)05-0131-04 |
| 收稿时间： | 2006-04-30 |
| 修稿时间： | 2006-04-30 |
The Proving of Lagrange Theorem and the Application of Auxiliary Function |
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| LIN Zhong. The Proving of Lagrange Theorem and the Application of Auxiliary Function[J]. Journal of Tianjin Vocational Institutes, 2006, 8(5): 131-134 |
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| Authors: | LIN Zhong |
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| Affiliation: | Xichang Institute, Xichang Sichuan 615000 China |
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| Abstract: | The proving and application of the differential mean value theorem adopt a number of auxiliary functions.By means of analyzing a variety of references to auxiliary functions when prove Lagrange theorem and researching on typical questions, this paper intends to find the internal rules of constructing auxiliary functions. |
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| Keywords: | Rolle theorem Lagrange theorem Cauchy theorem inequality proving auxiliary function |
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