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数学试题的设计是一项理论性、技术性很强且十分辛苦的工作。数学试题大体可分为两大类:一类源于经验,来自外部世界的实际现象;另一类来自数学内部,借助逻辑组合、一般化、特殊化,巧妙地对概念进行分析和综合,提出新的问题(希尔伯特)。波利亚在《怎样解题》一书中曾说:“我们几乎不能想象有一问题是绝对的新颖,和我们以前解决过的任何问题都不相似,都无关系。”改编试题,是从形式上、考查功能上对原有试题进行改造,产生新试题。改编试题的方法有很多,包
The design of mathematical questions is a theoretical, highly technical and very hard work. Mathematical questions can be broadly divided into two categories: one is the actual phenomenon from the experience and the outside world; the other is from the inside of mathematics. With the help of logical combination, generalization, specialization and cleverness, the concepts are analyzed and synthesized New question (Hilbert). In her book, “How to Solve Problems,” Polia said: “We can scarcely imagine that a problem is absolutely new, and it has nothing to do with any of the problems we have solved before.” "Adapting the test is From the form, the test function to transform the original test questions, resulting in a new test questions. There are many ways to adapt the questions, packages