摘要
通过无界函数与函数趋于无穷大的关系和中值定理只在实数范围内成立两个反例,说明运用反例思想有利于加深学生对概念、定理的理解,培养学生思维的严密性,从而提高教学效果.
By two counter-examples of the relationship between unbounded function and conclusion that the function goes to infinity and the fact that the mean value theorem only works in the range of real number, it is stated that counter-examples idea can make students understand conceptions and theorems better, and foster the preciseness of students＇ thinking, so the teaching effect can be increased.
出处
《河南教育学院学报（自然科学版）》
2012年第2期57-58,共2页
Journal of Henan Institute of Education(Natural Science Edition)
基金
国家自然科学基金(11126302)
江苏省高校自然科学基金(11KJB110006)
关键词
数学分析
反例
教学
无界函数
中值定理
mathematical analysis
counter-examples
teaching
unbounded function
mean value theorem
