本章作为数学的基本语言和工具,其应用涉及以下三个方面:一是集合本身的知识,即集合的有关概念、关系、运算等;二是对集合语言与集合思想的运用,如方程与不等式的解集等,也即集合作为工具在数学中的应用;三是命题之间的逻辑关系以及判断是非的能力和推理能力的提升,这里要重视“反证法”的应用. This chapter serves as the basic language and tool of mathematics. Its application involves the following three aspects: First, the knowledge of the collection itself, that is, the related concepts, relationships, and operations of the collection; the second is the use of the aggregate language and the collection of ideas, such as equations and inequalities. The collection of solutions, etc., that is, the use of collection as a tool in mathematics; the third is the logical relationship between propositions and the ability to judge right and wrong and enhance the reasoning ability, here we must pay attention to the application of “anti-evidence”.