SAT数学难题 hard math problem

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1、1.Inthefigurebelow,thegraphofy=kx2intersects4.If(xh)(x+k)=x216,whatisthevalueofh+k?triangleABCatB.IfAB=BCandtheareaoftrian-(A)8gleABCis6,whatisthevalueofk?(B)4(C)0(D)4(E)8y=kx2B7654A(–1,0)C(3,0)321-3-2-112345672.Foralln,letnbedefinedasn=n2n2.Ifa-1andbarepositiveintegersanda,b,whicho

2、fthe-2followingcouldbetrue?5.AportionofthegraphofthefunctionhisshowninI.(a+b)iseven.thexy-planeabove.Ifh(4)h(s)=4,whichoftheII.(a+b)isodd.followingcouldbethevalueofs?III.(ab)isnegative.(A)2(B)0(C)13.Thegraphsoftwolinearfunctions,fandg,areper-(D)4pendicular.Iff(2)=4andf(4)=1,whichof

3、the(E)7followingcoulddefineg?1(A)g(x)=x+42(B)g(x)=x+1(C)g(x)=2x+4(D)g(x)=2x3(E)g(x)=x+519.Thevalueofaninvestmentincreasedby20percentto$800bytheendofthefirstweek.Tothenearestdollar,whatwasthevalueoftheinvestmentattheQbeginningoftheweek?OP765y=g(x)46.Inthefigureabove,threeidenticalcircleso

4、fradius8withcentersO,PandQaretangenttoeachother.3Whatistheareaoftheshadedregionboundbythey=f(x)2circles?1-3-2-11234567-17.TheparticipantsinacertaincommunityserviceclubcomefromallfourgradelevelsinSmithvilleHigh-2School.Thereareequalnumbersofsophomoresandjuniors.Thenumberofseniorsistwentymo

5、re10.Thefigureaboveshowsthegraphsofthefunctionsfthantwicethenumberofsophomoresandjuniorscombined,andthereare20freshmen.Ifthenumberandg.Ifgisdefinedintermsofatransformationofofsophomores,juniorsandseniorscombinedhfsuchthatg(x)=f(x+h)+k,whatisthevalueof?accountsfor80percentoftheclub’sparticip

6、ants,khowmanyseniorsarethereintheclub?11.Forallxandy,lettheoperationx_ybeequaltothe8.Forintegersaandbwherea>0andb0,letthe2xabwholenumberremainderobtainedwhenfinding.operationbedefinedasab=.WhichoftheyaIfsisanevenintegerandthevalueof7_s=2,followingcouldbethevalueofab?whatisapossiblevalue

7、ofs?I.ab
a1II.0III.12OP30ºSABERQ(–1,0)DC12.Inthefigureabove,OPQRisasquare,andPSisthearcofacirclewithcenterO.IfthelengthofarcPSis,theareaoftheshadedsectoriswhatfractionoftheareaofOPQR?(A)15.Inthefigureabove,rectangleABCDliesonthe2coordinateplanewithpointDlocatedatth