| 利用微分方程求辅助函数证明中值定理 |
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| 引用本文： | 魏鹏,赵临龙.利用微分方程求辅助函数证明中值定理[J].价值工程,2011,30(15):280-280. |
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| 作者姓名： | 魏鹏 赵临龙 |
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| 作者单位： | 1. 宝鸡文理学院,宝鸡,721013;安康学院,安康,725000
2. 安康学院,安康,725000 |
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| 基金项目： | 安康学院大学生科技创新项目 |
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| 摘 要： | 对于微分中值定理有关证明,"奇妙"的构造辅助函数问题。利用微分方程的求解,分析辅助函数的内在特征,给出一种构造方法。
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| 关 键 词： | Rolle中值定理 Lagrange中值定理 微分方程 辅助函数 |
Prove Mean Value Theorem through Solving Auxiliary Function Using Differential Equation |
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| Wei Peng,Zhao Linlong.Prove Mean Value Theorem through Solving Auxiliary Function Using Differential Equation[J].Value Engineering,2011,30(15):280-280. |
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| Authors: | Wei Peng Zhao Linlong |
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| Institution: | ^2 (①)Baoji University of Arts and Sciences, Baoji 721013, China; (②)Ankan University, Ankang 725000, China ) |
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| Abstract: | Mean value theorem demonstration in differential equation; wonderfully make up the question of auxiliary function. Using solution of differential equation to analyze the inherent characteristics of auxiliary function, and a transformation method is given. |
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| Keywords: | Rolle mean value theorem Lagrange mean value theorem differential equation auxiliary function |
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