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1、LeHaiChauLeHaiKhoiVol.5MathematicalOlympiadSeriesSelectedProblemsoftheVietnameseMathematicalOlympiad(1962-2009)WorldScientificSelectedProblemsoftheVietnameseMathematicalOlympiad(1962–2009)7514tp.indd18/3/109:49AMLeHaiChauMinistryofEducationandTraining,VietnamLeHaiKhoiNanyangTechnologicalUniversit
2、y,SingaporeVol.5MathematicalOlympiadSeriesSelectedProblemsoftheVietnameseMathematicalOlympiad(1962–2009)WorldScientific7514tp.indd28/3/109:49AMPublishedbyWorldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite401-402,Hackensack,NJ07601UKoffice:57SheltonStree
3、t,CoventGarden,LondonWC2H9HEBritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibrary.MathematicalOlympiadSeries—Vol.5SELECTEDPROBLEMSOFTHEVIETNAMESEOLYMPIAD(1962–2009)Copyright©2010byWorldScientificPublishingCo.Pte.Ltd.Allrightsreserved.Thisbook,orpa
4、rtsthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePublisher.Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyrightClearanceC
5、enter,Inc.,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.ISBN-13978-981-4289-59-7(pbk)ISBN-10981-4289-59-0(pbk)PrintedinSingapore.LaiFun-SelectedProblemsoftheVietnamese.pmd18/23/2010,3:16PMMathematicalOlympiadSeriesISSN:1793-8570SeriesEditors:Le
6、ePengYee(NanyangTechnologicalUniversity,Singapore)XiongBin(EastChinaNormalUniversity,China)PublishedVol.1AFirstSteptoMathematicalOlympiadProblemsbyDerekHolton(UniversityofOtago,NewZealand)Vol.2ProblemsofNumberTheoryinMathematicalCompetitionsbyYuHong-Bing(SuzhouUniversity,China)translatedbyLinLei(
7、EastChinaNormalUniversity,China)Vol.3GraphTheorybyXiongBin(EastChinaNormalUniversity,China)&ZhengZhongyi(HighSchoolAttachedtoFudanUniversity,China)translatedbyLiuRuifang,ZhaiMingqing&LinYuanqing(EastChinaNormalUniversi