新名师网络课程第二套-gre数学

GRE数学讲主讲：欢迎GRE数学考试形230minutesforeach30questionsforeachGRE数学题•1－15tative tyinColumnAis tyinColumnBisthetwotiesaretherelationshipcannotbedeterminedfromtheinformation16-20计算题Problem21-25图表题Graphic26-30计算题Problem1】L,MNarebothrealnumbersandL>N,M>N 2】Themarketvalueofaproductdecreasedby10percentofitspurchasepriceeachmonthIftheproductwaspurchasedinJanuaryforitsmarketvalueof$1,000,whatwasitsmarketvaluetwomonthslater? 3Whichofthefollowingequationscanbeusedtofindthevalueofxif5lessthan3xis6morethantheproductof2andx? 364928Thefigureaboveconsistsof16squares.Ifthefigurewerefoldedalongthedotteddiagonaltoformaflattriangle,then17minusthenumberinthesquarethatwouldcoincidewiththesquarecontaining17wouldbe 【例5】Iftwotrainsare120apartandaretravelingtowardeachotherataconstantrateof37mphand43mph,respectively,howfarapartwilltheybeexactly1hourbeforetheymeet?612406080【例6】AB两城市各有一座火车站，火车从A开到B和从B开到A所用时间都是6小时。A火车站每天整点发车，B火车站每天半点发车请问某天早晨6点从ABB向A返程的火车？（AB之间只有这】【例7A以5公里时速从家出发，A出发1小时后B从家出发以7公里时速追A，B出发半小时后B的小狗从家出发以30公里时速追B，小狗追上B以后马上往家折返，跑到家后又马上追B……如此往复，请问B追上A时小狗一共】GRE数学概念和算 整 integers,wholepositive负数negativenumbers 奇数oddnumbers, evenprimecomposite28】q11qab之和，a可以 9】1(A)一个质数 (B)一个偶数 (C)3的倍数 (D)质数的平方 (E)奇数divisor11后的结果相乘，即可得到该【例10】5×173有多少个不同的因子倍数TheleastcommonThegreatestcommon3344360012】Ifxisanoddintegerthenx2-1must(A)aprime (B)anodd (C)divisiblebyamultipleof (E)apositivex=2k+1or2k-1(k为任意整数) Thevalueoftheunits’digitin Thevalueoftheunits’digitin个位：units,ones例：十位tens例：十分位tenths14】Aworkernumberedthepagesofabook,beginningwith1onthefirstpage.Innumberingthepage,heprintedatotalof63digits. thenumberofpagesinthe B,小数RepeatingdecimalsTerminatingdecimalsRoundtothenearest四舍五入（至十分位C,分数fractionsTheleastcommondenominator最小公分母215】If75percentofaclassaremembersofclubA,55percentaremembersofclubBand20percentarenotmembersofeitherclubAorB,whatpercentaremembersofbothclubAandB?(A) 3sequence等差数列：arithmetic等比数列：geometric等差数列前nfinite无穷数列：infinite4,x12=[-b±(b2-5，描述统计DescriptivestatisticsA,Mode B,极差Carithmeticgeometric【例16】Thecircumferenceofarectangleis20 Thegreatestareaofthe D,中（位）将所有n如果n=奇，整个序列中位于中间位置的数就是中数；如果n=偶，中间两个数的算术平均即是中数17Ifthearithmeticmeanofabc3and5is6whichofthefollowingmustbetrue?ThemedianofthefivenumberscannotbeAtleastoneofa,bandcisgreaterthanTherangeofthefivenumbersis2or(A)I (B)II (C)III (D)Iand (E)IIand【例18】Agroupofstudentsweretestedondata-entryskills,andthenumberoferrorstheymadeandthepercentofstudents makingxerrorswererecordedasfollows.NumberofPercentof0123456or1,Whatistherangeforthenumberoferrorsmadebythestudentsinthe(A) (B) (C) (D)Itcannotbedeterminedfromtheinformationgiven2,Whatwasthemediannumberoferrorsinthesample?(A) (B) (C) (D)ItcannotbedeterminedfromtheinformationgivenE，标准方差standarddeviation方差variance=标准方差due:duewestAltitude:凸n边形内角和Inscribe:Circumscribe:Dimension:Revolution:转 ω＝v/r＝v×360/2π利息单利：simple复利：compoundAnm＝n!/(n-Cnm＝n!/m!(n-一件事的完成可以分成n个步骤，完成其第一步有m1有m2种方法……完成第n步有mn种方法，那么完成这件事一共有N＝m1×m2×……×mn种不同的方法【例20】Ifalloftheroomnumbersinacertainhomustbeevennumbersandifeachofthenumbersusesallfourofthedigits345and8,whatisthegreatestnumberoffour-digitnumbersthatthehocanhave? (B) (C) (D) (E)21】Whatisthetotalnumberofdifferent4-digitintegersinwhichunits’digitisanoddintegerwhilethethousands’digitisaneven22】Whatisthetotalnumberofdifferent5-digitnumbersthatcontainallofthedigits1,2,3,4,and5andinwhichnoneoftheodddigitsoccurnexttoeachInwhichnoneoftheevendigitsoccurnexttoeach8互斥事件MutuallyexclusiveeventsIndependent两个独立事件A，B同时发生的概率为ABABa,b,AB之中至少发生一个的概率若某事件的完成可以分成n个步骤，满足其第一步要求的概率是P1，满足第二步的概率是P2……满足第n步的概率是Pn，那么最终结果达到要求的概率若某事件的完成可以通过nP1P2……n种途径达到要求的概率是Pn，那么最终结果达到要求的概率为P＝P1＋P2＋……＋Pn2324100103个（取出后不放回，3个都是坏零件的概率是多少？25Casttwodicesandgettwovalueswhatistheprobabilityofonevaluebeingexactly2morethantheother?(A) (B) (C) (D)4/9(E)2643名打字员打字，3个人每人都至少分到一独立重复试验的概率Pn(K)＝Cnk×Pk×(1Pn-O发生＝P发生/P不发生＝P发生/(1－P发生28】Theoddsinfavorofwinningagamecanbefoundbycomputingtheratiooftheprobabilityofwinningtotheprobabilityofnotwinning.IftheprobabilitythatTeamXwillwinagameis5/8whataretheoddsthatTeamXwillwinthegame?(A)5to3(B)3to8(C)3to5(D)5to8(E)8to29】Ofthebooksinacertainroom,50arewritteninGerman,65areinChinese120areinJapanese50areinFrenchand150areinEnglishIfthosebooksareremovedrandomlyfromtheroom,howmanymustberemovedensurethat80ofthebooksremovedarewritteninthesame(A)80(B)81(C)159(D)285(E)30】Eachoftheintegersfrom10to19inclusivei