maa-the-Contest-Problem-book-vi

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1、THECONTESTPROBLEMBOOKVIAmericanHighSchoolMathematicsExaminations1989{1994©Copyright2000byTheMathematicalAssociationofAmerica(Inc.)AllrightsreservedunderInternationalandPan-AmericanCopyrightConventions.PublishedinWashington,D.C.byTheMathematicalAssociationofAmericaL

2、ibraryofCongressCatalogCardNumber:00-101675PrintISBN978-0-88385-642-0ElectronicISBN978-0-88385-954-4ManufacturedintheUnitedStatesofAmericaTHECONTESTPROBLEMBOOKVIAmericanHighSchoolMathematicsExaminations1989{1994CompiledandaugmentedbyLeoJ.SchneiderJohnCarrollUnivers

3、ity®40THEMATHEMATICALASSOCIATIONOFAMERICAANNELILAXNEWMATHEMATICALLIBRARYPUBLISHEDBYTHEMATHEMATICALASSOCIATIONOFAMERICAEditorialCommitteeMichaelJ.McAsey,EditorArthurBenjaminLesterH.LangeGeorgeBerzsenyiMarkE.SaulRichardK.GuyPhilipD.StraffinRossA.HonsbergerJoanWyzkosk

4、iWeissTheNewMathematicalLibrary(NML)wasstartedin1961bytheSchoolMathematicsStudyGrouptomakeavailabletohighschoolstudentsshortexpositorybooksonvarioustopicsnotusuallycoveredinthehighschoolsyllabus.InadecadetheNMLmaturedintoasteadilygrowingseriesofsometwentytitlesofin

5、terestnotonlytotheoriginallyintendedaudience,buttocollegestudentsandteachersatalllevels.PreviouslypublishedbyRandomHouseandL.W.Singer,theNMLbecameapublicationseriesoftheMathematicalAssociationofAmerica(MAA)in1975.UndertheauspicesoftheMAAtheNMLcontinuestogrowandrema

6、insdedicatedtoitsoriginalandexpandedpurposes.Initsthirddecade,itcontainsfortytitles.ANNELILAXNEWMATHEMATICALLIBRARY1.Numbers:RationalandIrrationalbyIvanNiven2.WhatisCalculusAbout?byW.W.Sawyer3.AnIntroductiontoInequalitiesbyE.F.BeckenbachandR.Bellman4.GeometricInequ

7、alitiesbyN.D.Kazarinoff5.TheContestProblemBookIAnnualHighSchoolMathematicsExaminations1950{1960.CompiledandwithsolutionsbyCharlesT.Salkind6.TheLoreofLargeNumbersbyP.J.Davis7.UsesofInfinitybyLeoZippin8.GeometricTransformationsIbyI.M.Yaglom,translatedbyA.Shields9.Con

8、tinuedFractionsbyCarlD.Olds10.ffReplacedbyNML-3411.HungarianProblemBooksIandII,BasedontheEotv•osCompetitions•12.1894{1905and1906{1928,translatedby