数学分析课程的研究对象是函数,是在实数范围内研究函数,连续函数是一类非常理想的函数,连续是可导的必要条件,同时是可积的充分条件。另外,导数是数学分析课程的重要组成部分,深刻理解可导与不可导的分析定义对课程学习非常重要。本文从连续与间断、可导与不可导的分析定义入手,系统讨论概念间的逻辑联系。 Mathematical Analysis Course is the study of the object function, is to study the function in the real range, continuous function is a very ideal class of functions, continuous is a necessary and sufficient conditions, and is integrable sufficient conditions. In addition, the derivative is an important part of mathematics analysis course. It is very important to understand the definition of discretionary and non-conductive analysis. This article starts from the definition of continuous and discontinuous, guideable and non-guideable, and systematically discusses the logical connection between concepts.