历届国际奥林匹克中学生数学竞赛试题及参考解答(一)

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自去年《参考消息》刊载第二十届国际中学生数学竞赛试题以后,曾引起中学师生及数学爱好者的普遍重视,纷纷希望了解这方面的更多的资料。鉴于国际中学生数学竞赛试题虽然某些内容与我国现行中学数学教学大纲存在一定的差距,但它们对我国中学数学教学改革以及开展中学生数学竞赛,都有一定的参考作用。为此我们特将攀恺、梁法驯、刘中枢、蔡训武,成应琮等同志编译的《历届国际奥林匹克中学生数学竞赛试题及参考解答》从本期起,陆续在本刊上刊载。这份资料中从第一届到第十八届试题及参考解答,是根据德文本“Internationale Mathematik——Olymniaden”编译的,编译时对部分试题的解答作了修改和补充。 Since last year’s “Reference News” published the questions of the 20th International Mathematics Competition for Middle School Students, it has aroused the general attention of middle school teachers and students and mathematics enthusiasts, and they all want to know more about this. In view of the fact that there are some gaps between the international middle school students mathematics competitions and some of the current mathematics syllabus for middle schools in China, they all have a certain reference role in the reform of middle school mathematics teaching in China and the development of math competitions for middle school students. To this end, we have specially compiled the “International Olympic Middle School Student Mathematical Contest Questions and Reference Answers” ​​compiled by Pan Yu, Liang Fahua, Liu Zhongshu, Cai Xunwu, and Cheng Yingzhao, and this issue has been published in this issue one after another. The first to the eighteenth questions and reference answers in this document were compiled according to the German text “Internationale Mathematik—Olymniaden”. At the time of compilation, the answers to some of the questions were modified and supplemented.
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