论“实变函数”课程中的反例  

On the Inverse Cases in the Teaching of "Function of Real Variable"

作　　者：沈春芳[1] 杨刘[1] Shen Chunfang Yang Liu

机构地区：[1]合肥师范学院数学与统计学院,安徽合肥230061

出　　处：《科教文汇》2017年第9期50-51,共2页Journal of Science and Education

基　　金：安徽省高校青年拔尖人才培育计划资助

摘　　要：在教学中引入恰当的反例,能够帮助学生更好理解基本概念、相关性质和定理的条件与结论,起到辅助教学的作用。本文结合具体教学实际,从不同方面探讨反例在"实变函数"教学中的应用,并给出了若干例子辅助说明。It is helpful to introduce some proper inverse cases in the process of teaching, as they can help students to understand basic concepts, and the conditions and conclusions of relevant properties and theorems, so as to assist teaching. In this paper, combining practice of the authors, we study the applications of the inverse cases in the teaching of Function of Real Variable from different aspects. Some examples are given to illustrate the conclusion of the paper.

关 键 词：实变函数 反例 完备集 半连续函数 勒贝格控制收敛定理 

分 类 号：G642[文化科学—高等教育学]