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动手实践、自主探索、合作交流是课程标准倡导的学习数学的方法.中考数学试题对此起了较好的导向作用.由于材料易于获取,又能有效考查学生的实践操作能力、归纳探索能力、逻辑思维能力、空间想象能力等多方面的能力,因此,近年来折纸问题备受中考命题者青睐.解决这类问题,一方面要动手进行操作,另一方面要弄清折叠中的对称关系.下面仅从近几年各地中考试题中选取部分折纸问题,供参考.
Hands-on practice, independent exploration, and cooperation and exchange are the methods of learning mathematics advocated by the curriculum standards. The mathematics test in the middle school entrance examination has played a better guiding role. Because the materials are easily accessible, they can effectively examine the students’ practical operation ability, inductive exploration ability, The ability of logical thinking, spatial imagination and many other capabilities, therefore, in recent years, origami problems are favored by the candidates of the examination. To solve this kind of problems, on the one hand, we must start the operation, and on the other hand, we must clarify the symmetrical relationship in folding. The following only select some origami problems from various local examination questions in recent years for reference.