极限求解的模型化思维——以两类重要极限为例谈谈函数极限的教学问题

Modeling Thinking of Limit Solution:Taking Two Kinds of Important Limits as Examples to Discuss the Teaching Problem of Function Limit Solution

高等数学是理工科大学生的必修课,极限是整个高等数学课程的根基所在,既是课程的重点也是难点,根据多年高等数学教学经验,针对学生在极限运算中容易出现的问题,提出了“形神兼顾”“多种方法联合使用”的求极限策略,对学生理解极限和求极限起到了很好的作用。

Advanced mathematics is a compulsory course for science and engineering college students,and the limit is the foundation of the whole higher mathematics course,which is not only the focus but also the difficulty of the course.Based on the experience of teaching advanced mathematics for many years,and in view of those problems when students learn limit calculation,the author puts forward the strategies of"unity of both form and spirit",and"the combination of a variety of methods",which are helpful for students to understand limit and solve limit problems.