反例在实变函数教学中的作用

The Function of Counterexamples in the Teaching of Real Variable Function

摘要: 在实变函数教学中，恰当地运用反例，不仅能使学生准确地理解定义、正确掌握定理和命题，还能纠正学生的错误认识，激发学生探讨问题的兴趣，培养学生的思维能力。

Abstract: Using counterexamples appropriately in real variable function can not only make the students understand the definition and grasp the theorem and proposition, but also correct students’ errors, stimulate their interest in discussing and raise their thought ability.