| 一个不等式的证明方法探讨 |
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| 引用本文： | 景慧丽,杨宝珍,刘 华,屈 娜.一个不等式的证明方法探讨[J].重庆工商大学学报(自然科学版),2014(8):24-26. |
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| 作者姓名： | 景慧丽 杨宝珍 刘 华 屈 娜 |
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| 作者单位： | 第二炮兵工程大学理学院,西安710025 |
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| 摘 要： | 针对一道不等式的证明题,进行探讨,提出3种证明方法,即可以利用泰勒（Taylor）公式、拉格朗日（Lagrange）中值定理证明和反证法证明,进而培养学员的发散思维.
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| 关 键 词： | 不等式 泰勒公式 拉格朗日中值定理 反证法 |
Discussion on the Proof Methods for an Inequality |
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| JING Hui-li,YANG Bao-zhen,LIU Hua,QU Na.Discussion on the Proof Methods for an Inequality[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2014(8):24-26. |
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| Authors: | JING Hui-li YANG Bao-zhen LIU Hua QU Na |
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| Institution: | (School of Science, The Second Artillery Engineering Institute, Xian 710025, China) |
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| Abstract: | This paper discusses the proof for an inequality, proposes three methods to prove it, such as Tailor formula, Lagrange mean theorem and reduction to absurdity, in order to cultivate the divergent thinking of the students. |
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| Keywords: | inequality Tailor formula Lagrange mean theorem reduction to absurdity |
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