关于多元函数在一点连续性的思考与探究

The Reflection on the Continuity of Multivariant Function at a Point

本文通过引入多元函数“关于x(或y)连续”以及“沿方向l连续”的概念,使多元微分学的知识点间形成逻辑闭环,使学生对多元微分学的理解与一元微分学的认知形成对应.

This paper introduces the concepts of“about x(or y)continuity”and“continuity along direction l”which ensures that the internal logic of the knowledge points of multivariate differential calculus forms a closed loop,and that student'understanding of multivariate differential calculus corresponds to that of monadic differential calculus.