微分中值定理的研究  

The Study of Differential Mean Value Theorem

作　　者：翟美玲[1] 史成堂[1] 李玉凯[1] 

机构地区：[1]郑州电力高等专科学校基础部,河南郑州450004

出　　处：《河南教育学院学报（自然科学版）》2003年第2期22-24,共3页Journal of Henan Institute of Education(Natural Science Edition)

摘　　要：微分中值定理在高等数学课程中占有十分重要的地位。本文根据多年来的教学经验,对微分中值定理证明中的辅助函数的构造方法进行了总结、归纳,在此基础上,对利用微分中值定理解决问题作了简单分析。Differential mean value theorem plays an important role in Advanced Mathematics. In this paper, based on the teaching experience of several years, we give a conclusion and summary of the aid function' s constructing method in proving differential mean value teorem. Furthermore, we briefly analyze how to use differential mean value theorem to solve the related problems.

关 键 词：微分中值定理 高等数学教学 辅助函数 构造方法 几何方法 倒推法 常数K值法 

分 类 号：O172.1[理学—数学]