几何直观图示法在微积分学教学中的几点应用

Application of Geometric Direct-Vision Graphic Method in Infinitesimal Calculus Teaching

在《微积分学》教学过程中 ,函数极限与连续的定义对学生来说是一个很难理解、掌握而又棘手的问题 ;微分中值定理又是一个难点 ;多元复合函数求导更是一个难点 ,并且这个内容既复杂又容易出错 .我们采用几何直观图示法教学使得这些难点内容变得简洁、明了 。

During the teaching of infinitesimal calculus ,it is difficult for students to learn the definition of functional limit and continuity ,differential mean value theorem, multivariate compound function. In this paper we introduce the geometric direct\|vision graphic method .It is useful for students to understand the definition of functional limit and continuity, it is useful for teachers with their teaching.