微积分中的反例

Counterexample in Calculus Study

列举微积分中常见的典型反例,论述了反例在微积分教学中的作用:一方面可以强化概念、揭示概念的内涵,准确把握概念之间的关系,透彻理解定理的条件;另一方面有助于培养学生的逆向思维能力,更有助于培养学生的数学技能.

The typical counterexamples in calculus,and then argues their functions in calculus teaching was listed.On the one hand,can strengthen the concepts and their connotations so as to master the relationships between concepts.The counterexamples it is good for fostering students′ reverse thinking ability and mathematics skills.