| 罗尔中值定理的推广研究 |
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| 引用本文： | 田彦军.罗尔中值定理的推广研究[J].吉林工程技术师范学院学报,2014,30(10):93-96. |
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| 作者姓名： | 田彦军 |
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| 作者单位： | 江苏运河高等师范学校数理与信息系,江苏邳州,221300 |
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| 摘 要： | 高等数学中微分学占有很大比重,相对来说微分学中的基础理论比较重要也比较基本,微分学的科学价值在于逻辑运用。其中罗尔中值定理是最基本也是应用最为广泛,在应用过程中有着"钥匙"、"桥梁"的作用。充分利用开区间、闭区间以及半开半闭区间条件的转换,来运用罗尔中值定理的推广及其证明,并得出不同条件下的结论。
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| 关 键 词： | 罗尔中值定理 证明 推广研究 |
Extension Research of Rolle Median Theorem |
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| TIAN Yan-jun.Extension Research of Rolle Median Theorem[J].Journal of Jilin Teachers Institute of Engineering and Technology(Natural Sciences Edition),2014,30(10):93-96. |
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| Authors: | TIAN Yan-jun |
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| Institution: | TIAN Yan-jun (Mathematical and Information Department, Jiangsu Canal Advanced Normal school, Pizhou Jiangsu 221300, China ) |
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| Abstract: | In Advanced Mathematics,differential calculus accounts for a large proportion; relatively basic theory of differential calculus is more important and basic,and its scientific value lies in the application of logic. Rolle Median Theorem is the most basic and most widely used,it plays the role of ＂ key＂, ＂ bridge＂ in the application process. This paper,making full use of the conditions conversion of open interval,the closed interval and semi closed interval,applies the extension and proof of Rolle Median Theorem,and draws the conclusions under different conditions. |
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| Keywords: | Rolle Median Theorem prove extension research |
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