集合论的基本思想,是从整体上考察一类事物的相互联系及其内部规律,它是在十九世纪末由德国数学家康托尔(G.Cantor)首先提出来的,此后逐步渗透到分析、代数、几何等各个不同的数学领域。经过短短几十年的时间,集合论已发展成为一个非常重要的数学分支,成了全部数学的基础。中学数学的内容与集合的思想有着密切的联系。《中学数学教学大纲》(试行草案)指出:“把集合、 The basic idea of ​​set theory is to examine the interconnection and internal laws of a kind of thing as a whole. It was first proposed by German mathematician G. Cantor in the late nineteenth century, and then gradually penetrated into the analysis, Algebra, geometry and other different areas of mathematics. After just a few decades, set theory has developed into a very important branch of mathematics, which has become the basis of all mathematics. The content of high school mathematics is closely related to the idea of ​​collection. “High School Mathematics Syllabus” (draft) pointed out: "The collection,