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Tuyển tập đề thi IMO thế giới 1969-1997

Tuyển tập đề thi IMO thế giới 1969-1997 giúp các em học sinh có tài liệu tham khảo , luyện tập. Tài liệu bao gồm các bài tập tự luận, tài liệu rất hay để các bạn tham khảo. Chúc các bạn thi tốt. | Preface This book is a continuation Mathematical Olympiads 1995-1996 Olympiad Problems from Around the World published by the American Mathematics Competitions. It contains solutions to the problems from 25 national and regional contests featured in the earlier pamphlet together with selected problems without solutions from national and regional contests given during 1997. This collection is intended as practice for the serious student who wishes to improve his or her performance on the USAMO. Some of the problems are comparable to the USAMO in that they came from national contests. Others are harder as some countries first have a national olympiad and later one or more exams to select a team for the IMO. And some problems come from regional international contests mini-IMOs . Different nations have different mathematical cultures so you will find some of these problems extremely hard and some rather easy. We have tried to present a wide variety of problems especially from those countries that have often done well at the IMO. Each contest has its own time limit. We have not furnished this information because we have not always included complete contests. As a rule of thumb most contests allow a time limit ranging between one-half to one full hour per problem. Thanks to Walter Mientka for his continuing support of this project and to the students of the 1997 Mathematical Olympiad Summer Program for their help in preparing solutions. The problems in this publication are copyrighted. Requests for reproduction permissions should be directed to Dr. Walter Mientka Secretary IMO Advisory Broad 1740 Vine Street Lincoln NE 68588-0658 USA. Contents 1 1996 National Contests Problems and Solutions 3 1.1 Bulgaria. 3 1.2 Canada . 9 1.3 China. 12 1.4 Czech and Slovak Republics. 17 1.5 France. 22 1.6 Germany . 25 1.7 Greece. 27 1.8 Iran. 29 1.9 Ireland. 34 1.10 Italy. 38 1.11 Japan. 41 1.12 Poland. 44 1.13 Romania . 47 1.14 Russia . 57 1.15 Spain . 76 1.16 Turkey. 81 1.17 United .