2001年AMC8答案VIP免费

ThisSolutionsPamphletgivesatleastonesolutionforeachproblemonthisyear’sexamandshowsthatalltheproblemscanbesolvedusingmaterialnormallyassoci-atedwiththemathematicscurriculumforstudentsineighthgradeorbelow.Thesesolutionsarebynomeanstheonlyonespossible,noraretheynecessarilysuperiortoothersthereadermaydevise.Wehopethatteacherswillsharethesesolutionswiththeirstudents.However,thepublication,reproduction,orcommunicationoftheproblemsorsolutionsoftheAMC8duringtheperiodwhenstudentsareeligibletoparticipateseriouslyjeopardizestheintegrityoftheresults.Duplicationatanytimeviacopier,telephone,e-mail,WorldWideWebormediaofanytypeisaviolationofthecopyrightlaw.Correspondence about the problems and solutions should be addressed to:Prof.JosephW.Kennedy,AMC8Chair/kennedj@muohio.eduDepartmentofMathematicsandStatistics,MiamiUniversityOxford,OH45056Orders for prior year Exam questions and Solutions Pamphlets should be addressed to:TituAndreescu,AMCDirector/titu@amc.unl.eduAmericanMathematicsCompetitions,UniversityofNebraska-LincolnP.O.Box81606Lincoln,NE68501-1606Copyright© 2001,CommitteeontheAmericanMathematicsCompetitionsMathematicalAssociationofAmericaMatheMatical association of aMerica American Mathematics CompetitionsPresented by the akaMai foundation17th AnnualAM C 8(American Mathematics Contest 8)Solu tions PamphletTuesday, NOVEMBER 13, 2001Solu tions AMC 8 200121. (D) At 2 seconds per dimple, it takes 300 × 2 = 600 seconds to paint them.Since there are 60 seconds in a minute, he will need 600 ÷ 60 = 10 minutes.2. (D) Since their sum is to be 11, only positiv...