| 微分中值定理证明题中辅助函数的构造方法 |
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| 引用本文： | 唐帅,王志华.微分中值定理证明题中辅助函数的构造方法[J].邵阳学院学报(自然科学版),2009,6(4):26-29. |
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| 作者姓名： | 唐帅 王志华 |
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| 作者单位： | 1. 泰州师范高等专科学校,数理系,江苏,泰州,225300
2. 南京师范大学泰州学院数学系,江苏,泰州,225300 |
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| 摘 要： | 构造辅助函数是高等数学和数学分析证明中常采用的技巧．它起着化难为易、化未知为已知的桥梁作用．利用中值定理证明问题时，通常需要构造一个辅助函数．本文主要介绍使用中值定理时常用的一些构造辅助函数的方法．
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| 关 键 词： | 辅助函数 中值定理 构造方法 发散思维 |
Differential Intermediate Value Theorem Proving Problem in the Auxiliary Function Constructor |
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| TANG Shuai,WANG Zhi-hua.Differential Intermediate Value Theorem Proving Problem in the Auxiliary Function Constructor[J].Journal of Shaoyang University:Science and Technology,2009,6(4):26-29. |
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| Authors: | TANG Shuai WANG Zhi-hua |
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| Institution: | 1. Department of Mathematics and Physics, Taizhou Teachers College;Taizhou 225300, China,2. Department of Mathematics, Taizhou College, Nanjing Normal University, Taizhou 225300, China ) |
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| Abstract: | Constructing Auxiliary function is a technique often used in of advanced mathematics and mathematical analysis. It is easy to play quite a task-oriented, technology unknown to the known role as a bridge. Mean Value Theorem to prove the use of problem, usually construct an auxiliary., function. This paper mainly describes the use of mean value theorem, when constructing auxiliary functions. |
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| Keywords: | auxiliary functions intermediate value theorem construction methods divergent thinking |
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