浅议分段函数的教学研究

About the Teaching Research of the Segmented Function

分段函数一直是高等数学教学中的重点和难点内容.讨论分段函数基本内涵,结合实例研究分段函数的连续性、可导性、不定积分等几类问题,得出解决有关分段函数问题的关键是理解并运用其在分界点处的特殊变化特性.

The segmented function has always been emphasis and difficulty in higher mathematics teaching. In this paper, based on discussing the profound definition, calculation of the continuity, comprehensive discussion its made on plenty examples the derivability and the integral about the segmented function. It was concluded that understanding and handling subsection point is the key problem on how to solve the application of the segmented function.