| 运用向量构造辅助函数证明拉格朗日中值定理 |
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| 引用本文： | 宋振云,许新华,陈少元.运用向量构造辅助函数证明拉格朗日中值定理[J].孝感职业技术学院学报,2008,11(3):99-100. |
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| 作者姓名： | 宋振云 许新华 陈少元 |
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| 作者单位： | 湖北职业技术学院,湖北孝感432000 |
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| 摘 要： | 文章从拉格朗日中值定理的几何意义出发，通过几何直观，利用向量运算构造适合罗尔中值定理条件的辅助函数，应用罗尔中值定理得到了拉格朗日中值定理的简捷证明。
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| 关 键 词： | 中值定理 向量 辅助函数 |
To Testify Lagrangian Mean Value Thorem by Constructing an Additive Function with Vector |
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| SONG Zhen-yun,XU Xin-hua,CHENG Shao-yuan.To Testify Lagrangian Mean Value Thorem by Constructing an Additive Function with Vector[J].Journal of Xiaogan Vocational-Technical College,2008,11(3):99-100. |
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| Authors: | SONG Zhen-yun XU Xin-hua CHENG Shao-yuan |
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| Institution: | SONG Zhen - yun, XU Xin - hua ,CHENG Shao - yuan ( Hubei Polytechnic Institute, Xiaogan , Hubei 432000) |
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| Abstract: | From the geometrical implication of Lagrangian Mean Value Theorem, the authors provide a shortcut to testify it with Rolle Theorem by constructing an additive function with vector. |
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| Keywords: | Mean Value Theorem Vector Additive Function |
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