备课材料补充习题sat数学课二

公司统一PPT模板市场部Louie

xi2015.4.7SAT数学beckyIntroductionforcurriculumPart1.Arithmetic算数

1PropertiesofNumbers数的性质2Ratio比例3Average&Median&Exponent平均数&中位数&指数4PermutationandCombination排列组合5Sequence数列Part2.Algebra代数

1Variables变量2Inequality不等式3LinearFunction一次方程4QuadraticFunction二次方程IntroductionforcurriculumPart3.Geometry几何

1Lines&Circles&Angles2Triangles三角形3Rectangle&Coordinate矩形&坐标几何4GraphingFunctions函数图5Polygons&Solids固体&立方体Part4.Statistic统计

1Logic逻辑2Charts图表3Probability概率4Counting计数5Visual图形推断Catalogueforthisclass1.连续数列2.排列组合3.比例4.余数5.因数IntroductionforSATMath数学部分共44道选择题和10道填空题section1:25分钟区20道选择75s/Qsection2:25分钟区8道选择+10道填空80s/Qsection3:20分钟区16道选择75s/QGradeconversion2023/11/20CGEOMETRY-LINEARFUNCTION2023/11/20D3x=12+xX=62023/11/20E2023/11/20D2023/11/20BX+2=YXY-X2=?2023/11/20Theshadedregioninthefigureaboveisboundedbythex-axis,thelinex=4,andthegraphofy=f(x).Ifthepoint(a,b)liesintheshadedregion,whichofthefollowingmustbetrue?I.a<4II.b<aIII.b<f(a)(A)Ionly(B)IIIonly(C)IandIIonly(D)IandIIIonly(E)I.II,andIIIDGEOMETRY-QUATRATICFUNCTIONThefigureaboveshowsthegraphsofy=x*xandy=a-x*xforsomeconstanta.IfthelengthofPQisequalto6,whatisthevalueofa?(A)6(B)9(C)12(D)15(E)18E2023/11/20ClasssummaryEClasssummary52023/11/20Inthexy-coordinateplane,thegraphofx=y*y-4intersectslinelat(0,p)and(5,t).Whatisthegreatestpossiblevalueoftheslopeofl?15=t^2-40=p^2-4t=3/-3p=2/-22023/11/20Inthefigureabove,ABCDisarectangle.PointsAandClieonthegraphofy=p*x3?,wherepisaconstant.IftheareaofABCDis4,whatisthevalueofp?P=16C(1/2,2)2=p*(1/2)32023/11/20C(2X)Y*(2X)2Y-(2X)Y2023/11/20C2023/11/20Dwaynehasanewspaperrouteforwhichhecollectskdollarseachday.Fromthisamounthepaysoutk/3dollarsperdayforthecostofthepapers,andhesavestherestofthemoney.Intermsofk,howmanydayswillittakeDwaynetosave$1,000?D1000/(2K/3)2023/11/20Estherdrovetoworkinthemorningatanaveragespeedof45milesperhour.Shereturnedhomeintheeveningalongthesamerouteandaveraged30milesperhour.IfEstherspentatotalofonehourcommutingtoandfromwork,howmanymilesdidEstherdrivetoworkinthemorning?18miless/45+s/30=12023/11/20Duringasale,acustomercanbuyoneshirtforxdollars.Eachadditionalshirtthecustomerbuyscostszdollarslessthanthefirstshirt.Forexample,thecostofthesecondshirtisx-zdollars.Whichofthefollowingrepresentsthecustomer'scost,indollars,fornshirtsboughtduringthissale?A2023/11/20Letthefunctionhbedefinedbyh(x)=14+x2/4.Ifh(2m)=9m,whatisonepossiblevalueofm?2或72023/11/20Ifxisanintegergreaterthan1andify=x+1/x,whichofthefollowingmustbetrue?I.y=!xII.yisaninteger.III.xy>x2(A)Ionly(B)IIIonly(C)IandIIonly(D)IandIIIonly(E)I,II,andIIID2023/11/20Ifmandkarepositiveand10m2k-1=100m,whatism-1intermsofk?(A)k/10(B)k/90(C)k0.5/10(D)1/10k(E)1/90kDClasssummaryA联想图形2023/11/20Thefigureaboveshowsthegraphofaquadraticfunctionfthathasaminimumatthepoint(1,1).Iff(b)=f(3),whichofthefollowingcouldbethevalueofb?(A)-3(B)-2(C)-1(D)1(E)5C2023/11/20Ifa+2bisequalto125percentof4b,whatisthevalueofa/b?3a+2b=5/4*4ba=3b2023/11/20Doug'sbiologyexperimentinvolvedtiming12hamstersinamaze.Eachhamsterreceivedatleastonepracticebeforebeingtimed.Thescatterplotaboveshowsthetimeeachhamstertooktocompletethemazeandthecorrespondingnumberofpracticesthateachhamsterreceived.Basedonthedata,whichofthefollowingfunctionsbestmodelstherelationshipbetweent,thenumberofsecondstocompletethemaze,andp,thenumberofpractices?(A)t(p)=44(B)t(p)=p(C)t(p)=44p(D)t(p)=p/44(E)t(p)=p+442023/11/20Inthefigureabove,ABCDisarectangle.PointsAandClieonthegraphofy=p*x^3?,wherepisaconstant.IftheareaofABCDis4,whatisthevalueofp?2023/11/20E考虑特殊值2023/11/2070t=0时，c-d2=6t=2.5时，c-(d-4*2.5)2=106,解得d=10,c=106t=1时，h=702023/11/20Ifk,n,x,andyarepositivenumberssatisfyingx^(-4/3)=k^(-2)andy^(4/3)=n^2,whatis(xy)^(-2/3intermsofnandk?Ax-4/3=k-2Y4/3=n2[(xy)2/3]2=(kn)2(xy)2/3=kn2023/11/20Thepriceofgroundcoffeebeansisddollarsfor8ouncesandeachouncemakesccupsofbrewedcoffee.Intermsofcandd.whatisthedollarcostofthegroundcoffeebeansrequiredtomake1cupofbrewedcoffee?Ad/8dollars/ounce1/counce/cup1/c*d/8=d/8c2023/11/20Ifx2-y2=10andx+y=5.whatisthevalueofx-y?2代入x=5-y2023/11/20Theaverage(arithmeticmean)ofthetestscoresofaclassofpstudentsis70.andtheaverageofthetestscoresofaclassofnstudentsis92.Whenthescoresofbothclassesarecombined,theaveragescoreis86.Whatisthevalueofp/n?3/8ave1=70pave2=92nave3=86p+n(70p+92n)/(p+n)=866n=16p2023/11/20Ahmadhascontainersoftwodifferentsizes.Thetotalcapacityof16containersofonesizeisxgallons,andthetotalcapacityof8containersoftheothersizeisalsoxgallons,andx>0.Intermsofx,whatisthecapacity,ingallons,ofeachofthelargercontainers?(A)4x(B)2x(C)x/2(D)x/8(E)x/16D2023/11/20Letthefunctionfbedefinedbyf(x)=x2+18.Ifmisapositivenumbersuchthatf(2m)=2f(m),whatisthevalueofm?m=32023/11/20Thecostofmaintenanceonanautomobileincreaseseachyearby10percent,andAndrewpaidS300thisyearformaintenanceonhisautomobile.IfthecostcformaintenanceonAndrew'sautomobilenyearsfromnowisgivenbythefunctionc(n)=300x^n,whatisthevalueofx?(A)0.1(B)0.3(C)1.1(D)1.3(E)302023/11/20Linem(notshown)passesthroughOandintersectsABbetweenAandB.Wh