《高等数学》教学中分段函数有关问题的探究

Research on the Problems about the Piecewise Functions of Advanced Mathematics Teaching

《高等数学》教学中分段函数是教学中的难点。针对学生解分段函数各类问题时可能遇到的困难,通过例题探究分段函数在分段点上的极限、导数、积分,为学生解决问题提出思路与方法。便于学生更好地解决学习中遇到的概念混淆、思路不清、解题困难等问题,将对提高他们综合利用知识的能力起到很好的作用。

As the piecewise functions in Advanced Mathematics is always a teaching difficulty point. Inten- tion to show students some ways or illuminate about the solution of some usual or potential problems by using examples on the limit, derivative and integral of the piecewise points. This is very good to make the students deal with those problems very easily, such as misconception, un- clear idea or other difficults during the solving process, it＇s also good to raise their abilities of using knowledge in a multiple way.