探索数学知识,在自主的思维活动中,建构新的认知结构.它既能考查学生的动手操作能力、实践能力、探索能力、总结归纳能力以及创新能力,又能考查学生思维的层次性与解题方法的灵活性,体现了新课程“学生的数学学习应当是现实的、有趣的、富有挑战的,这些内容有利于学生主动从事观察、实验、猜测、验证与交流等思维活动”的理念.折叠问题作为中考试题比比皆是,更有甚者把折叠型问题与猜想、运动、最值、存在性、 Exploring mathematics knowledge and constructing a new cognitive structure in autonomous thinking activities. It can examine students’ hands-on operational ability, practical ability, exploration ability, summarization ability and innovation ability, and can also examine the level of student thinking. The flexibility of the problem-solving method embodies the new curriculum “students’ mathematics learning should be realistic, interesting, and challenging, and these contents are conducive to the student’s initiative to engage in thinking activities such as observation, experimentation, guessing, verification, and communication” The concept of folding. As the middle of the exam questions abound, even more problems with folding and guessing, sports, the most value, the existence,