| 参数变异法在两个微分中值定理证明中的应用 |
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| 引用本文： | 徐礼卡.参数变异法在两个微分中值定理证明中的应用[J].宁波教育学院学报,2009,11(2):78-81. |
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| 作者姓名： | 徐礼卡 |
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| 作者单位： | 浙江工业大学浙西分校,浙江,衢州,324000 |
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| 摘 要： | 证明拉格朗日中值定理和柯西中值定理的途径是引进适当的辅助函数实现向罗尔定理的化归。应用数学方法论中的化归方法之一──参数变异法,可使引进辅助函数的方法显得自然和清晰,并且利用这种方法引进辅助函数证明了其他一些微分中值命题。
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| 关 键 词： | 参数变异法 中值定理 辅助函数 |
Application of Parameter-Variation Method in Proving Two Differential Mean Value Theorems |
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| XU Li-ka.Application of Parameter-Variation Method in Proving Two Differential Mean Value Theorems[J].Journal of Ningbo Institute of Education,2009,11(2):78-81. |
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| Authors: | XU Li-ka |
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| Institution: | West Branch of Zhejiang University of Technology;Quzhou 324000;China |
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| Abstract: | It is a good way to introduce appropriate auxiliary function to prove Lagrange mean value theorem and Cauchy mean value theorem to achieve solution of Roll＇s theorem. Parameter-Variation method, which is one of effective solution in mathematical methodology, can clear the way in introducing auxiliary function and it can prove other differential mean value propositions |
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| Keywords: | parameter-variation method mean value theorem auxiliary function |
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