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.
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.
出处
《广州大学学报（自然科学版）》
CAS
2004年第1期85-89,共5页
Journal of Guangzhou University:Natural Science Edition
基金
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)
关键词
微分中值定理
微分
导数
辅助函数法
differential mean-value theorems
differential
derivative
the proof method of constructing supplementary function
