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AMC10美国数学竞赛讲义

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numbers,andthenfindthemeanofthatwiththethirdnumber,thenthemeanofthatwiththefourthnumber,andfinallythemeanofthatwiththefifthnumber.Whatisthedifferencebetweenthelargestandsmallestpossiblevaluesthatcanbeobtainedusingthisprocedure?16.Three24.Letandbepositiveintegerswithsuchthatand.Whatis?(A)249 (B)250 (C)251 (D)252 (E)2531.Whatis?(A)-1 (B) (C) (D) (E)10.Considerthesetofnumbers{1,10,102,103……1010}.Theratioofthelargestelementofthesettothesumoftheothertenelementsofthesetisclosesttowhichinteger?(A)1 (B)9 (C)10 (D)11?(E)10119.Whatistheproductofalltherootsoftheequation?(A)-64 (B)-24 (C)-9 (D)24?(E)5764.LetXandYbethefollowingsumsofarithmeticsequences:X=10+12+14+…+100.Y=12+14+16+…+102.Whatisthevalueof?(A)92 (B)98 (C)100 (D)102 (E)1127.WhichofthefollowingequationsdoesNOThaveasolution?(A) (B) (C)(D) (E)

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