| 微分中值定理教学改革探讨 |
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| 引用本文： | 袁文俊. 微分中值定理教学改革探讨[J]. 广州大学学报(自然科学版), 2004, 3(1): 85-89 |
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| 作者姓名： | 袁文俊 |
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| 作者单位： | 广州大学,理学院,广东,广州,510405 |
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| 基金项目： | 国家教育部重点项目子项目(03A08)，广东省新世纪高校教改资助项目(02042) |
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| 摘 要： | 从几何直观出发，运用启发式教学法，立足于整体角度，对微分学的基础内容——微分中值定理及其相关内容的教学进行了改革探索，研究了分析学上具有普遍意义的构造辅助函数法及其简单应用，为后续研究函数的性态和证明洛必达法则等中值定理的进一步应用问题打下了基础。
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| 关 键 词： | 微分中值定理 微分 导数 辅助函数法 |
| 文章编号： | 1671-4229(2004)01-0085-05 |
| 修稿时间： | 2003-04-01 |
Some studies for teaching differential mean-value theorems |
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| YUAN Wen-Jun. Some studies for teaching differential mean-value theorems[J]. Journal og Guangzhou University:Natural Science Edition, 2004, 3(1): 85-89 |
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| Authors: | YUAN Wen-Jun |
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| Abstract: | Some teaching methods about differential mean-value theorems in the base of geometrical meaning and global point of view are studied in this paper. The proof method of constructing supplementary function and its simple applications is investigated. Our goal is construct the solid foundation for further learning the course of mathematical analysis. |
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| Keywords: | differential mean-value theorems differential derivative the proof method of constructing supplementary function |
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