新名師網(wǎng)絡(luò)課程第二套-gre數(shù)學(xué)

GRE數(shù)學(xué)講主講：歡迎GRE數(shù)學(xué)考試形230minutesforeach30questionsforeachGRE數(shù)學(xué)題?1－15tative tyinColumnAis tyinColumnBisthetwotiesaretherelationshipcannotbedeterminedfromtheinformation16-20計(jì)算題Problem21-25圖表題Graphic26-30計(jì)算題Problem1】L,MNarebothrealnumbersandL>N,M>N 2】Themarketvalueofaproductdecreasedby10percentofitspurchasepriceeachmonthIftheproductwaspurchasedinJanuaryforitsmarketvalueof$1,000,whatwasitsmarketvaluetwomonthslater? 3Whichofthefollowingequationscanbeusedtofindthevalueofxif5lessthan3xis6morethantheproductof2andx? 364928Thefigureaboveconsistsof16squares.Ifthefigurewerefoldedalongthedotteddiagonaltoformaflattriangle,then17minusthenumberinthesquarethatwouldcoincidewiththesquarecontaining17wouldbe 【例5】Iftwotrainsare120apartandaretravelingtowardeachotherataconstantrateof37mphand43mph,respectively,howfarapartwilltheybeexactly1hourbeforetheymeet?612406080【例6】AB兩城市各有一座火車站，火車從A開到B和從B開到A所用時(shí)間都是6小時(shí)。A火車站每天整點(diǎn)發(fā)車，B火車站每天半點(diǎn)發(fā)車請(qǐng)問(wèn)某天早晨6點(diǎn)從ABB向A返程的火車？（AB之間只有這】【例7A以5公里時(shí)速?gòu)募页霭l(fā)，A出發(fā)1小時(shí)后B從家出發(fā)以7公里時(shí)速追A，B出發(fā)半小時(shí)后B的小狗從家出發(fā)以30公里時(shí)速追B，小狗追上B以后馬上往家折返，跑到家后又馬上追B……如此往復(fù)，請(qǐng)問(wèn)B追上A時(shí)小狗一共】GRE數(shù)學(xué)概念和算 整 integers,wholepositive負(fù)數(shù)negativenumbers 奇數(shù)oddnumbers, evenprimecomposite28】q11qab之和，a可以 9】1(A)一個(gè)質(zhì)數(shù) (B)一個(gè)偶數(shù) (C)3的倍數(shù) (D)質(zhì)數(shù)的平方 (E)奇數(shù)divisor11后的結(jié)果相乘，即可得到該【例10】5×173有多少個(gè)不同的因子倍數(shù)TheleastcommonThegreatestcommon3344360012】Ifxisanoddintegerthenx2-1must(A)aprime (B)anodd (C)divisiblebyamultipleof (E)apositivex=2k+1or2k-1(k為任意整數(shù)) Thevalueoftheunits’digitin Thevalueoftheunits’digitin個(gè)位：units,ones例：十位tens例：十分位tenths14】Aworkernumberedthepagesofabook,beginningwith1onthefirstpage.Innumberingthepage,heprintedatotalof63digits. thenumberofpagesinthe B,小數(shù)RepeatingdecimalsTerminatingdecimalsRoundtothenearest四舍五入（至十分位C,分?jǐn)?shù)fractionsTheleastcommondenominator最小公分母215】If75percentofaclassaremembersofclubA,55percentaremembersofclubBand20percentarenotmembersofeitherclubAorB,whatpercentaremembersofbothclubAandB?(A) 3sequence等差數(shù)列：arithmetic等比數(shù)列：geometric等差數(shù)列前nfinite無(wú)窮數(shù)列：infinite4,x12=[-b±(b2-5，描述統(tǒng)計(jì)DescriptivestatisticsA,Mode B,極差Carithmeticgeometric【例16】Thecircumferenceofarectangleis20 Thegreatestareaofthe D,中（位）將所有n如果n=奇，整個(gè)序列中位于中間位置的數(shù)就是中數(shù)；如果n=偶，中間兩個(gè)數(shù)的算術(shù)平均即是中數(shù)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，標(biāo)準(zhǔn)方差standarddeviation方差variance=標(biāo)準(zhǔn)方差due:duewestAltitude:凸n邊形內(nèi)角和Inscribe:Circumscribe:Dimension:Revolution:轉(zhuǎn) ω＝v/r＝v×360/2π利息單利：simple復(fù)利：compoundAnm＝n!/(n-Cnm＝n!/m!(n-一件事的完成可以分成n個(gè)步驟，完成其第一步有m1有m2種方法……完成第n步有mn種方法，那么完成這件事一共有N＝m1×m2×……×mn種不同的方法【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兩個(gè)獨(dú)立事件A，B同時(shí)發(fā)生的概率為ABABa,b,AB之中至少發(fā)生一個(gè)的概率若某事件的完成可以分成n個(gè)步驟，滿足其第一步要求的概率是P1，滿足第二步的概率是P2……滿足第n步的概率是Pn，那么最終結(jié)果達(dá)到要求的概率若某事件的完成可以通過(guò)nP1P2……n種途徑達(dá)到要求的概率是Pn，那么最終結(jié)果達(dá)到要求的概率為P＝P1＋P2＋……＋Pn2324100103個(gè)（取出后不放回，3個(gè)都是壞零件的概率是多少？25Casttwodicesandgettwovalueswhatistheprobabilityofonevaluebeingexactly2morethantheother?(A) (B) (C) (D)4/9(E)2643名打字員打字，3個(gè)人每人都至少分到一獨(dú)立重復(fù)試驗(yàn)的概率Pn(K)＝Cnk×Pk×(1Pn-O發(fā)生＝P發(fā)生/P不發(fā)生＝P發(fā)生/(1－P發(fā)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