第二十七届国际数学奥林匹克竞赛题解

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第27届国际数学奥林匹克竞赛今年七月在波兰华沙举行,我国首次派出代表队参加这次竞赛,并取得了辉煌成绩。我国派出的六名选手是河南郑州方为民、上海张浩、天津李平立、陕西西安荆秦(女),湖北黄冈林强(高二)、江苏泰县沈建。他们的得分依次为(满分为42分)41,39,37,28,19,15分。其中前三人获得一等奖,荆秦获二等奖,林强获三等奖。总分为177分,居第四位(美国与苏联代表队总分均为203分,并列第一)。消息传来,全国人民无不为之欢欣。这一成绩的取得除了队员及其中学老师的努力之外,与集训队的指导老师努力也是分不开的。为满足广大读者的渴望,我们特邀请部分导师对此试题给出解答。另外,这套竞赛试题的第二题系科技大常庚振教授命题,被竞赛委员会选甲,亦反映我国竞赛命题之水平,常教授专为我刊撰写的命题构思过程将于下一期发表。 The 27th International Mathematical Olympiad (Olympic Olympiad) was held in Warsaw, Poland, in July this year. China’s first time a representative team was dispatched to participate in the competition and achieved brilliant results. The six players dispatched by China are Zhengzhou Fangwei of Zhengzhou, Zhang Hao of Shanghai, Li Pingli of Tianjin, Jingqin (female) of Xi’an, Shaanxi, Linqiang of Hubei Huanggang (Year 2) and Shen Jian of Tai County of Jiangsu. Their scores were (out of 42 points) 41, 39, 37, 28, 19, and 15, respectively. Among them, the first three won the first prize, Jing Qin won the second prize, and Lin Qiang won the third prize. The total score is 177 points, ranking fourth (the United States and the Soviet Union have a total score of 203 points, tied for first place). The news came that all people in the country were delighted. In addition to the hard work of the team members and their middle school teachers, this achievement is inseparable from the efforts of the instructors of the training team. In order to meet the eagerness of readers, we specially invite some teachers to answer this question. In addition, the second question of this competition question is the proposition of Professor Dachanggengzheng of Science and Technology and was selected by the competition committee. It also reflects the level of China’s competition proposition. The propositional process that Professor Chang wrote for my journal will be published in the next issue. .
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