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《AMC 美国数学竞赛 2003 AMC 10B 试题及答案解析》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。
1、2003AMC10B1、WhichofthefollowingisthesameasSolution2、Algetsthediseasealgebritisandmusttakeonegreenpillandonepinkpilleachdayfortwoweeks.Agreenpillcostsmorethanapinkpill,andAl’spillscostatotalofforthetwoweeks.Howmuchdoesonegreenpillcost?Solution3、Thesumof5consecutiveevenintegersi
2、slessthanthesumofthefirstconsecutiveoddcountingnumbers.Whatisthesmallestoftheevenintegers?Solution4、Rosefillseachoftherectangularregionsofherrectangularflowerbedwithadifferenttypeofflower.Thelengths,infeet,oftherectangularregionsinherflowerbedareasshowninthefigure.Sheplantsonefl
3、owerpersquarefootineachregion.Asterscost1each,begonias1.50each,cannas2each,dahlias2.50each,andEasterlilies3each.Whatistheleastpossiblecost,indollars,forhergarden?Solution5、Moeusesamowertocuthisrectangular-footby-footlawn.Theswathhecutsisincheswide,butheoverlapseachcutbyinchest
4、omakesurethatnograssismissed.Hewalksattherateof-1-feetperhourwhilepushingthemower.WhichofthefollowingisclosesttothenumberofhoursitwilltakeMoetomowhislawn?Solution.6、Manytelevisionscreensarerectanglesthataremeasuredbythelengthoftheirdiagonals.Theratioofthehorizontallengthtotheh
5、eightinastandardtelevisionscreenis.Thehorizontallengthofa“-inch”televisionscreenisclosest,ininches,towhichofthefollowing?Solution7、Thesymbolismdenotesthelargestintegernotexceeding.Forexample.,and.ComputeSolution.8、Thesecondandfourthtermsofageometricsequenceareand.Whichofthefol
6、lowingisapossiblefirstterm?Solution9、FindthevalueofthatsatisfiestheequationSolution-2-10、Nebraska,thehomeoftheAMC,changeditslicenseplatescheme.Eacholdlicenseplateconsistedofaletterfollowedbyfourdigits.Eachnewlicenseplateconsistsofthreelettersfollowedbythreedigits.Byhowmanytime
7、sisthenumberofpossiblelicenseplatesincreased?Solution11、Alinewithslopeintersectsalinewithslopeatthepoint.Whatisthedistancebetweenthe-interceptsofthesetwolines?Solution12、Al,Betty,andClaresplitamongthemtobeinvestedindifferentways.Eachbeginswithadifferentamount.Attheendofoneyear
8、theyhaveatotalof.BettyandClarehavebothdoubledtheirmoney,where
