微分中值定理教学新探  

An Exploration on Teaching the Differential Mean Value Theorem

作　　者：杨毅[1] 徐根海[1] 

机构地区：[1]丽水学院理学院,浙江丽水323000

出　　处：《丽水学院学报》2012年第2期80-83,共4页Journal of Lishui University

摘　　要：改变了教材上微分中值定理的呈现顺序,引导学生通过猜想得到柯西中值定理,再推导出拉格朗日中值定理和罗尔中值定理,启发学生构造合适的辅助函数证明微分中值定理。此外,还探讨了微分中值定理的多元化教学。This paper changes the sequence of teaching the differential mean value theorem in teaching material. Lagrange First,we try to instruct the students to conjecture Cauchy mean value theorem.And then,we deduce mean value theorem and Rolle mean value theorem.Finally,we construct a proper auxiliary function so as to prove the differential mean value theorem. Also, we discuss the variety of teaching the differential mean value theorem.

关 键 词：微分中值定理 探究性教学 多元化教学 

分 类 号：G642[文化科学—高等教育学]