新课标下,以创新为背景来考查学生运用知识解决问题的能力受到越来越多的重视,集合虽然学起来很容易,但如果换换面孔,改改说法,学生有时却不知所措.本文主要针对这类问题进行剖析,希望对考生理解问题、解决创新问题的能力有所提高.下面分类进行研究.1.集合定义的创新创新集合新定义问题是通过重新定义相应的集合,对集合的知识加以深入地创新,结合原有集合的相关知识和相应数学知识,来解决新定义的集合创新问题. Under the new curriculum standard, students' ability of using knowledge to solve problems based on the background of innovation is paid more and more attention. Although the collection is easy to learn, students sometimes feel overwhelmed if they change faces or change opinions. This paper mainly analyzes such problems and hopes to improve the ability of the examinee to understand and solve the problems of innovation.Firstly, the dissertation makes a research on the following aspects: 1. The definition of innovation in a set Definition of a new definition is defined by redefining the corresponding set, Knowledge to in-depth innovation, combined with the original collection of relevant knowledge and the corresponding mathematical knowledge to solve the newly defined collection innovation.