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历届IMO(国际奥林匹克数学竞赛)试题提供国

2009-03-30 23:14:53     标签:广州奥数题

历届IMO(国际数学奥林匹克)试题提供国

1959/1 proposed by Poland 波兰

1959/2 proposed by Romania 罗马尼亚

1959/3 proposed by Hungary 匈牙利

1959/4 proposed by Hungary 匈牙利

1959/5 proposed by Romania 罗马尼亚

1959/6 proposed by Czechoslovakia 捷克斯洛伐克

1960/1 proposed by Bulgaria 保加利亚

1960/2 proposed by Hungary 匈牙利

1960/3 proposed by Romania 罗马尼亚

1960/4 proposed by Hungary 匈牙利

1960/5 proposed by Czechoslovakia 捷克斯洛伐克

1960/6 proposed by Bulgaria 保加利亚

1960/7 proposed by Eastern Germany 民主德国

1961/1 proposed by Hungary 匈牙利

1961/2 proposed by Poland 波兰

1961/3 proposed by Bulgaria 保加利亚

1961/4 proposed by Eastern Germany 民主德国

1961/5 proposed by Czechoslovakia 捷克斯洛伐克

1961/6 proposed by Romania 罗马尼亚

1962/1 proposed by Poland 波兰

1962/2 proposed by Hungary 匈牙利

1962/3 proposed by Czechoslovakia 捷克斯洛伐克

1962/4 proposed by Romania 罗马尼亚

1962/5 proposed by Bulgaria 保加利亚

1962/6 proposed by Eastern Germany 民主德国

1962/7 proposed by USSR 苏联

1963/1 proposed by Czechoslovakia 捷克斯洛伐克

1963/2 proposed by USSR 苏联

1963/3 proposed by Hungary 匈牙利

1963/4 proposed by USSR 苏联

1963/5 proposed by Eastern Germany 民主德国

1963/6 proposed by Hungary 匈牙利

1964/1 proposed by Czechoslovakia 捷克斯洛伐克

1964/2 proposed by Hungary 匈牙利

1964/3 proposed by Yugoslavia 南斯拉夫

1964/4 proposed by Hungary 匈牙利

1964/5 proposed by Romania 罗马尼亚

1964/6 proposed by Poland 波兰

1965/1 proposed by Yugoslavia 南斯拉夫

1965/2 proposed by Poland 波兰

1965/3 proposed by Czechoslovakia 捷克斯洛伐克

1965/4 proposed by USSR 苏联

1965/5 proposed by Romania 罗马尼亚

1965/6 proposed by Poland 波兰

1966/1 proposed by USSR 苏联

1966/2 proposed by Hungary 匈牙利

1966/3 proposed by Bulgaria 保加利亚

1966/4 proposed by Yugoslavia 南斯拉夫

1966/5 proposed by Czechoslovakia 捷克斯洛伐克

1966/6 proposed by Poland 波兰

1967/1 proposed by Poland 波兰

1967/2 proposed by Czechoslovakia 捷克斯洛伐克

1967/3 proposed by United Kingdom 英国

1967/4 proposed by Italy 意大利

1967/5 proposed by USSR 苏联

1967/6 proposed by Hungary 匈牙利

1968/1 proposed by Romania 罗马尼亚

1968/2 proposed by Czechoslovakia 捷克斯洛伐克

1968/3 proposed by Bulgaria 保加利亚

1968/4 proposed by Poland 波兰

1968/5 proposed by Eastern Germany 民主德国

1968/6 proposed by United Kingdom 英国

1969/1 proposed by Eastern Germany 民主德国

1969/2 proposed by Hungary 匈牙利

1969/3 proposed by Poland 波兰

1969/4 proposed by Netherlands 荷兰

1969/5 proposed by Mongolia 蒙古

1969/6 proposed by USSR 苏联

1970/1 proposed by Poland 波兰

1970/2 proposed by Romania 罗马尼亚

1970/3 proposed by Sweden 瑞典

1970/4 proposed by Czechoslovakia 捷克斯洛伐克

1970/5 proposed by Bulgaria 保加利亚

1970/6 proposed by USSR 苏联

1971/1 proposed by Hungary 匈牙利

1971/2 proposed by USSR 苏联

1971/3 proposed by Poland 波兰

1971/4 proposed by Netherlands荷兰

1971/5 proposed by Bulgaria 保加利亚

1971/6 proposed by Sweden 瑞典

1972/1 proposed by USSR 苏联

1972/2 proposed by Netherlands 荷兰

1972/3 proposed by United Kingdom 英国

1972/4 proposed by Netherlands 荷兰

1972/5 proposed by Bulgaria 保加利亚

1972/6 proposed by United Kingdom 英国

1973/1 proposed by Czechoslovakia 捷克斯洛伐克

1973/2 proposed by Poland 波兰

1973/3 proposed by Sweden 瑞典

1973/4 proposed by Yugoslavia 南斯拉夫

1973/5 proposed by Poland 波兰

1973/6 proposed by Sweden 瑞典

1974/1 proposed by USA 美国

1974/2 proposed by Finland 芬兰

1974/3 proposed by Romania 罗马尼亚

1974/4 proposed by Bulgaria 保加利亚

1974/5 proposed by Netherlands 荷兰

1974/6 proposed by Sweden 瑞典

1975/1 proposed by Czechoslovakia 捷克斯洛伐克

1975/2 proposed by United Kingdom 英国

1975/3 proposed by Netherlands 荷兰

1975/4 proposed by USSR 苏联

1975/5 proposed by USSR 苏联

1975/6 proposed by United Kingdom 英国

1976/1 proposed by Czechoslovakia 捷克斯洛伐克

1976/2 proposed by Finland 芬兰

1976/3 proposed by Netherlands 荷兰

1976/4 proposed by USA 美国

1976/5 proposed by Netherlands 荷兰

1976/6 proposed by United Kingdom 英国

1977/1 proposed by Netherlands 荷兰

1977/2 proposed by Phan ??c Chính, Vietnam 越南

1977/3 proposed by Netherlands 荷兰

1977/4 proposed by United Kingdom 英国

1977/5 proposed by Eastern Germany 民主德国

1977/6 proposed by Bulgaria 保加利亚

1978/1 proposed by Cuba 古巴

1978/2 proposed by USA 美国

1978/3 proposed by United Kingdom 英国

1978/4 proposed by USA 美国

1978/5 proposed by France 芬兰

1978/6 proposed by Netherlands 荷兰

1979/1 proposed by Western Germany 民主德国

1979/2 proposed by Bulgaria 保加利亚

1979/3 proposed by USSR 苏联

1979/4 proposed by USA 美国

1979/5 proposed by Israel 以色列

1979/6 proposed by Eastern Germany 民主德国

1981/1 proposed by United Kingdom 英国

1981/2 proposed by Western Germany 民主德国

1981/3 proposed by Netherlands 荷兰

1981/4 proposed by Belgium 比利时

1981/5 proposed by USSR 苏联

1981/6 proposed by Finland 芬兰

1982/1 proposed by United Kingdom 英国

1982/2 proposed by Netherlands 荷兰

1982/3 proposed by A.Grishkov, USSR 苏联

1982/4 proposed by United Kingdom 英国

1982/5 proposed by Netherlands 荷兰

1982/6 proposed by V?n Nh? C??ng, Vietnam 越南

1983/1 proposed by United Kingdom 英国

1983/2 proposed by I.F.Sharygin, USSR 苏联

1983/3 proposed by Western Germany 民主德国

1983/4 proposed by Belgium 比利时

1983/5 proposed by Poland 波兰

1983/6 proposed by USA 美国

1984/1 proposed by Western Germany 民主德国

1984/2 proposed by Netherlands 荷兰

1984/3 proposed by Romania 罗马尼亚

1984/4 proposed by Romania 罗马尼亚

1984/5 proposed by Mongolia 蒙古

1984/6 proposed by Poland 波兰

1985/1 proposed by United Kingdom 英国

1985/2 proposed by Australia 澳大利亚

1985/3 proposed by Netherlands 荷兰

1985/4 proposed by Mongolia 蒙古

1985/5 proposed by USSR 苏联

1985/6 proposed by Sweden 瑞典

1986/1 proposed by Western Germany 联邦德国

1986/2 proposed by Gengzhe Chang and Dongxu Qi, China 中国常庚哲齐东旭

1986/3 proposed by Elias Wegert, Eastern Germany 民主德国

1986/4 proposed by Iceland 冰岛

1986/5 proposed by United Kingdom 英国

1986/6 proposed by Konrad Engel, Eastern Germany 民主德国 恩格尔

1987/1 proposed by Western Germany 民主德国

1987/2 proposed by I.A.Kushnir, USSR 苏联

1987/3 proposed by Western Germany 联邦德国

1987/4 proposed by Nguy?n Minh ??c, Vietnam 越南

1987/5 proposed by Eastern Germany 民主德国

1987/6 proposed by V.F.Lev, USSR 苏联

1988/1 proposed by Lucien Kieffer, Luxembourg 卢森堡

1988/2 proposed by Czechoslovakia 捷克斯洛伐克

1988/3 proposed by United Kingdom 英国

1988/4 proposed by Ireland 爱尔兰

1988/5 proposed by Dimitris Kontogiannis, Greece 希腊

1988/6 proposed by Western Germany 联邦德国

1989/1 proposed by Philippines 菲律宾

1989/2 proposed by Australia 澳大利亚

1989/3 proposed by Hendrikus Gerardus Derksen, Netherlands 荷兰

1989/4 proposed by Iceland

1989/5 proposed by Sweden

1989/6 proposed by Professor Marcin Kuczma, university of Warsaw, Poland 波兰

1990/1 proposed by India 印度

1990/2 proposed by Czechoslovakia 捷克斯洛伐克

1990/3 proposed by Laurentin Panaitopol, university of Bucharest Romania 罗马尼亚

1990/4 proposed by Turkey 土耳其

1990/5 proposed by Germany 德国

1990/6 proposed by Hendrikus Gerardus Derksen, Netherlands 荷兰

1991/1 proposed by USSR 苏联

1991/2 proposed by Romania 罗马尼亚

1991/3 proposed by Chengzhang Li, China 中国 李成章

1991/4 proposed by USA

1991/5 proposed by Johan Yebbou, France

1991/6 proposed by Hendrikus Gerardus Derksen, Netherlands

1992/1 proposed by New Zealand 新西兰

1992/2 proposed by India 印度

1992/3 proposed by Chengzhang Li, China 中国 李成章

1992/4 proposed by Johan Yebbou, France 法国

1992/5 proposed by Italy 意大利

1992/6 proposed by Tony Gardiner, United Kingdom 英国

1993/1 proposed by Ireland 爱尔兰

1993/2 proposed by David Monk, formerly University of Edinburgh, United Kingdom 英国

1993/3 proposed by Finland 芬兰

1993/4 proposed by F.Y.R. Macedonia 马萨多尼亚

1993/5 proposed by Elias Wegert, Germany 德国

1993/6 proposed by N.G. de Bruijn, Netherlands 荷兰

1994/1 proposed by Vincent Lafforgue, France 法国

1994/2 proposed by Hans Lausch, Monash University, Australia and Armenia independently 亚美尼亚-澳大利亚

1994/3 proposed by Romania 罗马尼亚

1994/4 proposed by Australia 澳大利亚

1994/5 proposed by United Kingdom 英国

1994/6 proposed by Finland 芬兰

1995/1 proposed by Bulgaria 保加利亚

1995/2 proposed by Nazar Agakhanov, Russia 俄罗斯

1995/3 proposed by Jaromir Simsa, Czech Republic(我在其他地方得到的信息是这题为日本提供)

1995/4 proposed by Professor Marcin Kuczma, university of Warsaw, Poland 波兰

1995/5 proposed by New Zealand 新西兰

1995/6 proposed by Professor Marcin Kuczma, university of Warsaw, Poland 波兰

1996/1 proposed by Finland 芬兰

1996/2 proposed by Canada 加拿大

1996/3 proposed by Romania 罗马尼亚

1996/4 proposed by Alexander S. Golovanov, Russia 俄罗斯

1996/5 proposed by Nairi M. Sedrakyan, Armenia 亚美尼亚

1996/6 proposed by Laurent Rosaz, France 法国

1997/1 proposed by Belarus 白俄罗斯

1997/2 proposed by David Monk, formerly University of Edinburgh, United Kingdom 英国

1997/3 proposed by Russia 俄罗斯

1997/4 proposed by Iran 伊朗

1997/5 proposed by Petr Kanovsky, Czech Republic 捷克斯洛伐克

1997/6 proposed by Giedrius Alkauskas, Lithuania 立陶宛

1998/1 proposed by Charles Leytem, high school Dierkirch, Luxembourg 卢森堡

1998/2 proposed by India 印度

1998/3 proposed by Belarus 白俄罗斯

1998/4 proposed by David Monk university Edinbourg 英国

1998/5 proposed by Ukraine 乌克兰

1998/6 proposed by Nikolai Nikolov and Oleg Mushkarov Institut Mathematiques Informatiques Academie des Sciences Sofia Bulgarie 保加利亚

1999/1 proposed by Jan Willemson university of Tartu, Estonia 爱沙尼亚

1999/2 proposed by Professor Marcin Kuczma, university of Warsaw, Poland 波兰

1999/3 proposed by E.Barabanov and I.Voronovich, Belarus 白俄罗斯

1999/4 proposed by Taiwan 中国台湾

1999/5 proposed by P.Kozhevnikov, Russia 俄罗斯

1999/6 proposed by Japan 日本

2000/1 proposed by Serge Berlov, Saint-Petersbourg Russia 俄罗斯

2000/2 proposed by Titu Andreescu, USA 美国

2000/3 proposed by Belarus 白俄罗斯

2000/4 proposed by Sandor Dobos professor lyc Fazekas Mihaly, Budapest, Hungary 匈牙利

2000/5 proposed by Valerii Senderov, Moscou Russia 俄罗斯

2000/6 proposed by Lev and Tatiana Emelianovii, Kaluga Russia 俄罗斯

2001/1 proposed by Hojoo Lee university Kwangwoon, Seoul Korea 韩国

2001/2 proposed by Hojoo Lee university Kwangwoon, Seoul Korea 韩国

2001/3 proposed by Dr.Christian Bey university of Rostock, Germany 德国

2001/4 proposed by Professor Bill Sands university of Calgary, Canada 加拿大

2001/5 proposed by Toshio Seimiya, Kawasaki Japan / see cruxmathematicorum problem 2501 (以色列)

2001/6 proposed by Alexander Ivanov, Bulgaria 保加利亚

2002/1 proposed by Federico Ardila, university of Los Andes, Bogota Colombia 哥伦比亚

2002/2 proposed by Hojoo Lee university Kwangwoon, Seoul Korea 韩国

2002/3 proposed by Laurentin Panaitopol, university of Bucharest Romania 罗马尼亚

2002/4 proposed by Mihai Manea, Galati Romania 罗马尼亚

2002/5 proposed by B.J.Venkatachala, professor university of Indian Institut of Sciences, Bangalore India 印度

2002/6 proposed by Vyacheslav Yasinskiy, Vinnitsa Pedagogical University, Vinnitsa Ukraine 乌克兰

2003/1 proposed by Carlos Gustavo Moreira, Brasilia 巴西

2003/2 proposed by Bulgaria 保加利亚

2003/3 proposed by Waldemar Pompe, Poland 波兰

2003/4 proposed by Finland 芬兰

2003/5 proposed by Ireland 爱尔兰

2003/6 proposed by Johan Yebbou Professeur Mathematiques Speciales MP* in France 法国

2004/1 proposed by Valentin Vornicu and Dinu Serbanescu, Romania 罗马尼亚

2004/2 proposed by Hojoo Lee university Kwangwoon, Seoul Korea 韩国

2004/3 proposed by Jan Villemson, Estonia 爱沙尼亚

2004/4 proposed by Hojoo Lee university Kwangwoon, Seoul Korea 韩国

2004/5 proposed by Waldemar Pompe, Poland 波兰

2004/6 proposed by Dr. Mohsen Jamaly, Iran 伊朗

2005/1 proposed by Bogdan Enescu, Romania 罗马尼亚

2005/2 proposed by N.G. de Bruijn, Netherlands 荷兰

2005/3 proposed by Hojoo Lee, South Korea 韩国

2005/4 proposed by Mariusz Skalba, Poland 波兰

2005/5 proposed by Waldemar Pompe, Poland 波兰

2005/6 proposed by Radu Gologan and Dan Schwarz, Romania 罗马尼亚

2006/1 proposed by Hojoo Lee, South Korea 韩国

2006/2 proposed by Du?an Djuki?, Serbia 塞尔维亚-黑山

2006/3 proposed by Finbarr Holland, Ireland 爱尔兰

2006/4 proposed by Zuming Feng, USA 美国 冯祖铭

2006/5 proposed by Dan Schwarz, Romania 罗马尼亚

2006/6 proposed by Du?an Djuki?, Serbia 塞尔维亚-黑山

2007年第48届国际数学奥林匹克IMO试题由以下国家提供

第1题:新西兰;

第2题:卢森堡;

第3题:俄罗斯

第5题:英国;

第6题:荷兰

2008年第49届国际数学奥林匹克IMO试题由以下国家提供

第1题由俄罗斯的Andrey Gavrilyuk提供。

第2题由奥地利的Walther Janous提供。

第3题由立陶宛的Kęstutis Česnavičius提供。

第4题由韩国的Hojoo Lee提供,他已为IMO供题多道,经常上mathoe的就都知道此人了。

第5题由法国的Bruno Le Floch and Ilia Smilga共同提供。

第6题由俄罗斯的Vladimir Shmarov提供

我国向IMO提供的题目

1986第27届IMO第2题,这是我国向IMO提供的第一道试题。

在平面上给定的点P0和△A1A2A3,且约定S≥4时,As=A s-3,构造点列P0,P1,P2,……,使得P k+1为点Pk绕中心A k+1顺时针旋转120°所到达的位置,k=0,1,2,……。求证:如果P1986=P0,则△A1A2A3为等边三角形。

由中国科技大学常庚哲和吉林大学齐东旭共同命制。

1991第32届IMO第3题,这是我国向IMO提供的第二道试题。

设S={1,2,3,……,280},求最小的自然数n,使得S的每个n元子集中都含有5个两两互素的数。

由南开大学李成章命制。

1992第33届IMO第3题,这是我国向IMO提供的第三道试题。

给定空间中的九个点,其中任何四点都不共面,在每一对点之间都连有一条线段,这条线段可染为红色或蓝色,也可不染色。试求出最小的n值,使得将其中任意n条线段中的每一条任意地染为红蓝二色之一时,在这n条线段的集合中都必然包含有一个各边同色的三角形。

由南开大学李成章命制。

1999年第40届IMO第四题由我国台湾提供。

确定所有的正整数对(n,p),满足:p是一个素数,n≤2p,且(p-1)n+1能够被n p-1整除。

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