中文摘要：

点集、测度论作为实变函数内容的重要部分，是可测函数，勒贝格积分等后续内容的学习基础。本文根据这两部分的特点，结合几个重要定理和习题，阐述了在教学过程中的几点看法，为该课程的进一步教学改革提供了一点建议。

英文摘要：

Set of points and measure theory are important content in real analysis, it is the base of measurable function, Lebesgue integral and so on. In this paper, we analyze several theorems and exercises of real analysis course, show some opinions in teaching process, and give some suggestions about teaching reform for this course.