| 关于拉格朗日中值定理证明的注记 |
| |
| 引用本文： | 梁洪亮,刘孝书,董正华.关于拉格朗日中值定理证明的注记[J].商丘职业技术学院学报,2002,1(3):26-27. |
| |
| 作者姓名： | 梁洪亮 刘孝书 董正华 |
| |
| 作者单位： | 商丘师范学院,数学系,河南,商丘,476000 |
| |
| 摘 要： | 拉格朗日中值定理是微积分学中一个重要定理,对于拉格朗日中值定理的证明,关键是构造一个辅助函数F(X),使F(X)满足罗尔定理的条件f(a)=f(b),由罗尔定理证得结果。
|
| 关 键 词： | 罗尔定理 拉格朗日中值定理 辅助函数 |
| 文章编号： | 1671-8127(2002)03-0026-02 |
| 修稿时间： | 2002年2月28日 |
A note on prouing of lagrange's mid-value theorem |
| |
| LIANG Hong - Liang,LIU Xiao - shu,DONG Zheng - hua.A note on prouing of lagrange''s mid-value theorem[J].Journal of Shangqiu Vocational and Technical College,2002,1(3):26-27. |
| |
| Authors: | LIANG Hong - Liang LIU Xiao - shu DONG Zheng - hua |
| |
| Abstract: | Lagrange' s mid - value theorem is an important theorem in Calculus. For its proving , the key is to construct an auxiliary function F(x), so F(x) satisfying Rolls theorem condition ;f(a) =f(b). From Rolls theorem,it is proved . In this paper ,some methods of constructing auxiliary function on proving of Lagrange' s mid - value theorim are given . |
| |
| Keywords: | rolle' stheorem Lagrange' s mid - value theorem auxiliary function |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
