焦点教育出品-SAT2数学习题6套.pdf

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1、SATII数学Level1&Level2练习题SAT2数学Level1习题1Question#1:Iff(x)=xandg(x)=√x,x≥0,whatarethesolutionsoff(x)=g(x)?x=1x1=1,x2=-1x1=1,x2=0x=0x=-1Question#2:WhatisthelengthofthearcABinthefigurebelow,ifOisthecenterofthecircleandtriangleOABisequilateral?Theradiusofthecirclei

2、s9.¶2·¶3·¶4·¶¶/2Question#3:Whatistheprobabilitythatsomeonethatthrows2dicegetsa5anda6?Eachdicehassidesnumberedfrom1to6.1/21/61/121/181/36Question#4:AcyclistbikesfromtownAtotownBandbacktotownAin3hours.HebikesfromAtoBataspeedof15miles/hourwhilehisreturnspeedis10

3、miles/hour.Whatisthedistancebetweenthe2towns?11miles18miles15miles12miles10milesQuestion#5:Thevolumeofacube-shapedglassC1ofedgeaisequaltohalfthevolumeofacylinder-shapedglassC2.TheradiusofC2isequaltotheedgeofC1.WhatistheheightofC2?2·a/¶a/¶a/(2·¶)a/¶a+¶xQuestio

4、n#6:Howmanyintegersxaretheresuchthat2<100,andatthesametimethexnumber2+2isanintegerdivisiblebyboth3and2?123452Question#7:sin(x)cos(x)(1+tan(x))=tan(x)+1cos(x)sin(x)tan(x)sin(x)+cos(x)Question#8:If5xy=210,andxandyarepositiveintegers,eachofthefollowingcouldbethe

5、valueofx+yexcept:1317231543Question#9:Theaverageoftheintegers24,6,12,xandyis11.Whatisthevalueofthesumx+y?111713159Question#10:Theinequality

6、2x-1

7、>5mustbetrueinwhichoneofthefollowingcases?I.x<-5II.x>7III.x>0IIonlyI,IIandIIIandIIonlyIandIIIonlyIonlyQuestion#1:

8、Iff(x)=xandg(x)=√x,x≥0,whatarethesolutionsoff(x)=g(x)?(a)x1=1,x2=-1(b)x1=1,x2=0(c)x=1(d)x=0(e)x=-12oAnswer:x=√x,ifwesquaretheleftandrighttermsoftheequationwegetx=x.x·(x-1)=0andx1=1,x2=0Question#2:WhatisthelengthofthearcAB,ifOisthecenterofthecircleandtriangle

9、OABisequilateral?Theradiusofthecircleis9.(a)¶(b)2·¶(c)3·¶(d)4·¶(e)¶/2ooAnswer:OABequilateralsoangleAOBisequalto60.oTheratiobetweentheAOBangleand360isequaltotheratiobetweenthelengthofthearcABandthecircumferenceofthecircle.oo60/360=arcAB/(2¶·9)arcAB=3·¶Questio

10、n#3:Whatistheprobabilitythatsomeonethatthrows2dicegetsa5anda6?Eachdicehassidesnumberedfrom1to6.(a)1/6(b)1/12(c)1/18(d)1/36(e)1/2oAnswer:Theprobabilitytohavea(5,6)combinationisequaltothepr