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2019年上海16区初三一模试卷

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2018—2019学年上海市16区初三数学一模试题

2018—2019学年上海市16区初三数学一模试题

那么 AE =
．
EB
16．在等腰 ∆ABC 中， AB = AC ，如果 cos C = 1 ，那么 tan A =
．
4
17．已知抛物线 y =( x + 1)2 + k 与 x 轴交于 A 、BC 被 y 轴
平分，那么点 C 的坐标为
．
18．如图，在矩形 ABCD 中，点 E 是边 AD 上的点， EF ⊥ BE ，交边 CD 于点 F ，联结 CE 、 BF ，如果
x
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−3
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0
1
2
3
…
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−5 2
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（1）求该抛物线的表达式；
（2）已知点 E (4, y) 是该抛物线上的点，点 E 关于抛物线的对称轴对称的点为点 F ，求点 E 和点 F 的坐标.
21．（本题满分 10 分）如图，已知 AB ∥ CD ，AC 与 BD 相交于点 E ，点 F 在线段 BC 上，AB = 1 ，BF = 1 . CD 2 CF 2
SDCAE BC
第4页
24．（本题满分 12 分）在平面直角坐标系中，已知抛物线 y = ax2 + bx + c (a > 0) 与 x 轴交于 A(−1,0) 、 B 两
点（点 A 在点 B 的左侧），与 y 轴交于点 C ，抛物线的顶点为点 D ，对称轴为直线 x = 1 ，交 x 轴于点 E ， tan ∠BDE = 1 .
14．如图，在梯形
ABCD
中，AD∥BC，EF
是梯形
ABCD
的中位线，AH∥CD

上海市各区2019年中考物理一模试卷按考点分类汇编电路计算(含答案解析)

上海市各区2019年中考物理一模试卷按考点分类汇编电路计算(含答案解析)

电路计算宝山：22．在图10所示的电路中，电电压保持不变，电阻R1的阻值为10欧。

闭合电键S，两电流表的示数分别为0.9安和0.6安。

⑴求电电压U。

⑵求通过电阻R2的电流I2。

⑶现用电阻R替换电阻R1、R2中的一个，替换前后，一示数变化了0.1安，另一个电流表示数不变。

求电阻R的答案：个电流表阻值。

奉贤：22.在如图12所示的电路中,电电压为6伏且不变,滑动变阻器R2上标有“50Ω0.5A”字样。

闭合电键，移动滑片P到某位置时，电压表、电流表的示数分别为4.5伏和0.2安。

此时求：(1)滑动变阻器R2接入电路的阻值；(2)10秒内通过电阻R1的电荷量Q；(3)现有规格为“50Ω1A”,“10Ω0.5A”“20Ω1A”三种规格的阻器,从中选择一个替换R2,要求：当滑片P在移动过程中,两电分别达到某量程的满刻度且电路能安全工作。

①应选择______规格的滑动变阻器；②满足上述要求时，滑动变阻器连入电路的阻值范围?答案：滑动变表指针1虹口：21.在图9所示的电路中，电电压保持不变，电阻R1的阻闭合电键S，两电流表的示数分别为0.8安和0.6安。

①求电电压U；②求电阻R2的阻值；③现用电阻R替换电阻R1、R2中的一个，替换前后仅一个电流表了0.4安。

求电阻R的阻值.答案：值为10欧。

的示数变化金山：24．如图15所示的电路中，电电压为18伏且保持变阻器R2上标有“50Ω1A”字样，电阻R1的阻值为10不变，滑动欧。

闭合电键S，电流表的示数为0.5安。

求：（1）电阻R1两端的电压。

（2）此时电阻R2消耗的电功率。

（3）移动变阻器滑片，在保证各元件都能正常工作的情况下，使得两电压表的示数之差不超过10伏，求滑动变阻器R2连入电路的取值范围。

2答案：静安：21．在图9所示的电路中，电电压为6伏，电阻R1的滑动变阻器R2上标有“20欧1安”字样。

闭合电键S后，为0.3安。

①求此时电阻R1两端的电压U1。

②在电路元件不被损坏的情况下，求变阻器R2接入电路的最小阻值R2min。

2019年上海各区初三英语一模试题分题型汇总(语法与词汇)

2019年上海各区初三英语一模试题分题型汇总(语法与词汇)

2019年上海各区初三英语一模试题分题型汇总(语法与词汇)注意事项：认真阅读理解，结合历年的真题，总结经验，查找不足！重在审题，多思考，多理解！长宁区初三英语第一学期期末质量抽查试卷II.Choosethebestanswer：(选择最恰当的答案，用A、B、C或D表示)：(共20分)31.“Whoknowsthe_______answertothequestion?”theteacherasked.A.aB.anC.theD./32.Joycewroteanarticle_______howtoimproveourmemoryfortheschoolnewspaper.A.forB.onC.inD.at33.Inthemodernworld,_______youngpeopleareinterestedincormorantfishing.A.afewB.fewC.lotsofD.some34.TheGreensandtheBrowns________next-doorneighboursformanyyears.A.wereB.willbeC.havebeenD.hadbeen35.Itisnice______intoanewhousewithabeautifulgarden.A.movingB.movesC.moveD.tomove36.Alicelikesto_______thelittlepuppyandholditinherarms.A.setupB.pickupC.getupD.giveup37.Stevencompletedthesciencetest______inourclassyesterday.A.mostquicklyB.morequicklyC.lessquicklyD.quickly38._______supercalculatorscomputersare!A.WhatB.WhataC.WhatanD.How39.Wewillrememberthepicture______itissilly,strangeandcolorful.A.unlessB.ifC.beforeD.after40.-Haveyoubrought_______withyou?Wewon’thavetimetocomeback.-Don’tworry.Allthethingsweneedarehere,inthisbigbag.A.somethingB.anythingC.nothingD.everything41.Speaklouder_______everyoneinthemeetingroomcanhearyouclearly.A.sothatB.inordertoC.sinceD.because42.Itdoesn’tlooklikerain,soyou_______bringyourumbrellawithyou.A.mustn’tB.can’tC.needn’tD.maynot43.Thetaxibasefare(起步价)inShanghai________from12yuanto14YuanlastAugust.A.raisedB.wasraisedC.hasraisedD.hasbeenraised44.Hewasunawareofthemistakeshemadeinthereport.Theunderlinedpartmeans_______A.didn’tthinkaboutB.didn’tseeC.didn’tknowD.didn’twant45.Theactressisatleast50,butshelooks_______thanshereallyis.A.veryyoungB.muchyoungerC.veryoldD.mucholder46.Floratoldussuchafunnyjokethatitmadeallofus_______.A、ughed47.Iimagineyou’retiredfromthejourney.Theunderlinedpartmeans_______.A.guessB.planC.wonderD.hope48.Jack,you’dbetter_______toomanysoftdrinks.It’sbadforyourhealth.A.nottohaveB.tohaveC.nothaveD.have49.I’dliketoseeyouoffattheairport.Couldyoutellme_______?A.whenyourplanetookoffB.whendidyourplanetakeoffC.whenyourplanetakesoffD.whendoesyourplanetakeoff50.-Whydon’twehaveaget-togethernextweek?--_______A.Yes,please.B.No,thanks.C.That’sagoodidea.D.I’msorry.宝山区初三英语第一学期期末质量抽查试卷V.Choosethebestanswer(选择最恰当的答案)：〔共20分〕31.IntheUnitedStates,Father’sDayison_______thirdSundayinJune.A.aB.anC.theD./32.ItelephonedJanejustnow,butshewasn’tin.Ihastoleavehera(n)_______.A.advicermationC.messageD.paper33.ItisnodoubtthatLiuXiangis_______favouritestar.B.weC.ourD.ours34.Manyscientistssaythatit’simportantforustohave______foodinourdiet.A.avarietyofB.agreatdealC.alargenumberofD.agoodmany35.Five_______studentsfromdifferentschoolstookpartintheEnglishcontestlastSaturd ay.A.hundredofB.hundredC.hundredsofD.hundreds36.Manyexpertsthinkpigsare______totrainthandogsorcats.A.easierB.mucheasyC.moreeasilyD.tooeasy37.You_______totellhimthenews.Itwillmakehimsad.A.needn’tB.shouldn’tC.couldn’tD.don’tneed38.YouhavebeentoBeijing.Howlong_______you______there/A.did…stayB.have…stayedC.do…stayD.will…stay39.TodayChinese______bymoreandmorepeopleallovertheworld.A.wasspokenB.isspokenC.spokeD.speak40.MotheroftentellsTom______toomuchtimeplayingvideogames.A.nottospendB.tonotspendC.don’tspendD.doesn’tspend41.Mrs.Smithfoundthetoyshereandthere,sosheaskedhersonto______histoysbeforehavingdinnerA.putoffB.giveawayC.putawayD.giveout42.A:Whendiditbegintosnow?B:Itstarted______thenight.A.duringB.byC.fromD.at43.Ihaven’tgotanarmchair_________.Willyoumakeroomforme?A.TositB.tositinC.forsittingD.sittingon44.Children,willyoufinish_________theclassroombefore5:00p.m.?A.cleanB.tocleanC.cleanedD.cleaning45.Idon’tknowifhe_______tomorrow.A.WillcomeesC.cameD.hascome46.Getupearlyanddoexerciseeveryday,_______youwon’thaveastrongbody.A.butB.forC.andD.or47.Theyusuallyhavelunchatschool,________?A.haven’ttheyB.dotheyC.don’ttheyD.havethey48.A:HaveyouheardfromJim?B:No,Ihaven’t.Theunderlinedpartmeans”_______”.A.HeardoftheletterB.receivedaletterfromC.writtenaletterfromD.heardabout49.BigBenisafamous_______inLondon.A．statueB.museumC.parkD.clock50.A:WouldyoumindrepairingtheMP3playerforme?B:______.A.NevermindB.Don’tworryC.NotatallD.I’mgladyoulikeit崇明县初三英语第一学期期末质量抽查试卷II.Choosethebestanswer(选择最恰当的答案)：(20分)31.Lindagotupverylatethismorningandshewenttoschoolinhurry.A)/ B)a C)an D)the32.JessieiskeenwatchingtheTVshowOneoutof100attheweekend.A)on B)in C)to D)with33.Ihappenedtomeetafriendofinthebookstoreyesterdayafternoon.A)I B)me C)my D)mine34.Thereweresomanyinthestreettodaybecauseitwasanationalholiday.A)student B)traffic C)policeman D)people35.TheEnglishguestcouldspeakonlyChinese,butshemanagedtocommunicatewithus.A)few B)little C)alittle D)afew36.NowadaysChina'sGotTalentisoneof TVprogramsinShanghai.A)popular B)morepopularC)mostpopularD)themostpopular37.—doesthewinterholidaybeginthisyear?—OnJanuary14,h.A)What B)How C)Why D)When38.Thefishsouptastedsothattheguestsaskedformore.A)bad B)terrible C)well D)good39.Childrenbeverycarefulwhentheygoacrossthebusystreet.A)shouldn't B)needn't C)must D)may40.We'vejusthadawarmDecember. unusualweatheritwas!A)What B)Whata C)Whatan D)How41.Whichmobilephonewouldyouliketobuy,aNokiaaniPhone4?A)so B)or C)but D)and42.Jackwashalfanhourlateforthepartyhewasstuckinatrafficjam.A)unless B)while C)because D)if43.BencomputergameswhenIwenttoseehimlastnight.A)isplaying B)wasplayingC)willplay D)play44.SarahmanyinterestingplacessinceshecametoliveinShanghailastyear.A)hasvisited B)willvisitC)wasvisitingD)hadvisited45.Nancyhasdecidedtoloseweight.Nothingwillmakeherhermind.A)change B)changed C)changing D)tochange46.Theresomanybeautifultoysthathedidn'tknowwhichonetochoose.A)is B)are C)was D)were47.Pleaseyourcoat.It'sveryhotinsidetheroom.A)showoff B)takeoffC)turnoff D)putoff48.Wouldyoupleasetellme?A)whenwillwehaveanEnglishexamB)whenwewillhaveanEnglishexamC)whenwouldwehaveanEnglishexamD)whenwewouldhaveanEnglishexam49.—We'regoingtohaveapicnictomorrow.Wouldyouliketojoinus?—A)I'dloveto. B)That'sright.C)Welldone. D)Notatall.50.—I'msorryI'vebrokenyourglass.—A)Metoo. B)Nevermind.C)You'rewelcome.D)Ofcoursenot.奉贤区初三英语第一学期期末质量抽查试卷II.Choosethebestanswer(选择最恰当答案)：〔共20分〕31.Weareplanning______one-daytriptoCenturyParkduringthewinterholidays.______tri pmustbefulloffun,Ithink.A.a,TheB.an,TheC.the,AD.the,The32._______December11,2001,Chinaformallybecamethe143rd memberoftheWTOA.inB.OnC.AtD.Until33.-----Wouldyoulikesome______?-----OH,YES,justalittlekB.appleC.pearsD.oranges34.Tom.Marycan'topenthebox.canyougive______ahelpinghand?A.sheB.herC.hersD.herself35.Excuseme,sir.Iboughttheshoesyesterday,buttheyareindifferentsizes.Oneissize37,_____issize38.A.theothersB.otherC.anotherD.theother36._______ofthenewspaperintheworldarewritteninEnglish.A.ThreequarterB.Three-fourthsC.Three-fourthD.Third-four37.Mobilephonesareverypopularnowdaysandtheyare_______thanbefore.A.cheapB.cheaperC.cheapestD.thecheapest38.It'sdifficulttoliveinaforeigncountry，________ifyoudon'tspeakthelanguageA.importantlyB.naturallyC.especiallyually39.Myuncledoesn'thavemuchmoney.______healwaysenjoyshimself.A.butB.soC.andD.or40.Thecomicstripis_____funny______readersartfondofit.A.too,toB.so,thatC.very,toD.too,that41.AllthechildrenlikeMr.Whiteverymuchbecauseheoftenmakesthem________ughedughingughD.tolaugh42.Ilookedeverywhereforthebook,butI______finditA.mustn'tB.needn'tC.maynotD.couldn't43.Privatecarsarebecomingverypopularthoughmostofthemstill______toomuchA.payB.costC.sellD.spend44.Manystudentshaveto______theirhobbiesbecauseoftheirbusyschoolworkA.stayupB.putupC.giveupD.lookup45.Look!Whatacleanroom!Who_______it?A.hastidiedB.istidyingC.willtidyD.tidied46.Mostpeople_______whenthebigearthquaketookplaceinthatarea.A.aresleepingB.weresleepingC.sleptD.sleep47Don'tputofftoday'sworkfortomorrow.Imean,today'swork______today.A.maydoB.mustdoC.maybedoneD.mustbedone48、Marykeepstalkingabouttheparty.Shehadaverygoodtime,_______?A.hadn’tsheB.hadsheC.didn’tsheD.didshe49.--____________?--I’dliketoseethatreddress.A.WhatcanIdoforyou?B.Doyouwantanything?C.Whatdoyoulike?D.Whatwillyoudo?50.--I’msorry.I’mlatebecausethetrafficisbad.--________.Buttomorrow,pleasebeontime.A.It’sapleasureB.You’rewelcomeC.Itdoesn’tmatterD.That’sright虹口区2017学年度第一学期初三年级英语学科期终教学质量监控测试题II.Choosethebestanswer(选择最恰当的答案)：(共20分)31.AnnaorderedasquareumbrellafromtheTaobaonetlastweekandnow______umbrellahasarr ived.A.aB.anC.theD./32.–Wheredidyoubutthenicecard?–Imadeitby__________.A.IB.meC.myselfD.mine33.Thepostmancriedoutdownstairs,“Mr.Anderson,hereisaletter_______you.”A.ofB.onC.withD.for34.Peter’sparentsaregoodatphysics,but_______ofthemisgoodatEnglish.A.allB.bothC.neitherD.none35.Ineed_____bananastomakefruitsalad.Couldyoupleasebuysome?A.fewB.afewC.littleD.alittle36.Themoreyousmile,the_______willfeelinyoureverydaylife.A.happyB.happierC.happiestD.thehappiest37.“Howmuch_____thepairofshoesoverthere?”theladyaskedtheshopassistant.A.amB.isC.beD.are38.Tony,whatwouldyoulikeforyourfourteenthbirthday,anMP4_____abike?A.butB.andC.orD.so39.Myfatherwaspreparingforhisspeech______mymotherwasdoingsomewashinglastnight.A.whileB.untilC.unlessD.if40.–MustIdoallthehousework,Mum?--No,you_____.Justcleanyourbedroom.A.mustn’tB.shouldn’tC.needn’tD.can’t41.–Wouldyouliketogoandhavesomecoffeewithme?--I’dliketo,butmyfather_______formeoutsidenow.A.waitsB.iswaitingC.willwaitD.waited42.–Helen,Icalledyouyesterdayevening,butnobodyansweredthephone.--Oh,I_______awalkwithmysisteratthattime.A.takeB.tookC.amtakingD.wastaking43.Thestudentsinthemiddleschool______theire-bagssince2017.A.haveB.willhaveC.havehadD.had44.Aflowershow_________nextweekintheparkandI’llgotovisititwithmyfamily.A.isholdingB.willholdC.hasbeenheldD.willbeheld45.HedecidedtoleaveforThailandassoonashefinished_____thenovel.A.writeB.writingC.towriteD.written46.–Ifeelabithungrynow.–Whynot______fordinnerwithus?A.goB.goingC.togoD.gone47.________excitedthemotherwaswhensheheardherson’svoicefromthespacestation!A.HowB.WhatC.WhataD.Whatan48._______comesthelastbus!Hurryup,orwe’llhavetowalkhome.A.ThisB.HereC.ItD.One49.–Wouldyoumindtellingmeyourbrother’se-mailaddress?–_______.A.You’rewelcome.B.Certainlynot.C.Thesametoyou.D.Yes,please.50.–Ilikethepartysomuch,butIhavetogohome.It’stoolate.–______.A.Whatapity!B.Haveanothertry.C.Congratulations!D.It’sapleasure.黄浦区初三英语第一学期期末质量抽查试卷II.Choosethebestanswer(选择最恰当的答案)：(共20分)31.Atleast89peoplewerekilledwhen_______firetookplaceinahospitalintheeasternIndiancityofCalcutta.A./B.aC.anD.the32.TheYangtzeRiverruns____________themountains,throughthebeautifulThreeGorgesandfinallyintothesea.A.atB.toC.onD.Down33.Wecandonothingaboutyesterday.Whenonedoorcloses,__________dooropens.A.anotherB.otherC.othersD.theothers34.Accordingtoarecentsurvey,moreandmore_______prefertoshoponline.A.personB.peopleC.manD.Woman35.ThehousepriceinShanghaiis__________tobecomelowerandlowerinthecomingyears.A.politelyB.possiblyC.likelyD.happily36.Withthehelpofcomputers,writingdoesnotseemso_________asitusedtobe.A.difficultB.lessdifficultC.moredifficultD.themostdifficult37.Hedidn'trealizehismistake______hewastoldaboutit.A.ifB.whileC.untilD.since38.Believeitornot,it'ssaidthatpeoplebornintheyearoftherat__________becomeexcellentwriters.A.shouldB.canC.mustD.need39.Myfather______forJapannextweekandhewillstaytherefortwoweeks.A.leavesB.leftC.isleavingD.hasleft40.JustinBieber________alotofyoungfanssincehisfirstappearanceonthestage.A.winsB.iswinningC.willwinD.haswon41.Whenthelightwentoutsuddenlylastnight,I_______abookinbed.A.readB.wasreadingC.hadreadD.amreading42.Thechildren_______bythefunnyperformanceinShanghaiCircusWorld.A.attractB.attractedC.areattractingD.wereattracted43.Hedoesn'tmind______youahelpinghandifyoucan'tfindanyoneelse.A.giveB.givesC.givingD.togive44.Youcan'texpect______aforeignlanguageinafewmonths.A.learnB.learntC.learningD.tolearn45.Theproblemis__________willbeinchargeofourschoolnewspaper.A.whoB.whenC.whatD.where46.Thegirlinredwithapairofglasses______goodatcommunicatingwithothers.A.amB.isC.areD.be47.Wemustdosomethingtoprotecttheearth,_______wewillloseourhome.A.orB.butC.soD.and48.________goodideaitisthatwewillvisitLondonthissummerholiday!A.WhatB.WhataC.HowD.Howa49.—Wouldyoulikemetocallataxiforyou?—__________.A.Yes,please.B.It'sapleasure.C.NotatallD.Nevermind50.——I'msorryforwhathashappened.Ididn'tmeanit.——_________.A.Youarewelcome.B.Allright.C.That'sallright.D.Goodidea.嘉定区初三英语第一学期期末质量抽查试卷II.Choosethebestanswer(选择最恰当的答案):(共20分)31.It'ssohot.Let'sgoforswim,shallwe?A)/B)aC)an D)the32.IhearourheadteacherwillbebackfromUSAthreeweeks'time.A)atB)of C)in D)with33.Thepoorgirlhastodependonforlivingbecauseherparents/arebothillinbed.A)she B)her C)hers D)herself34.ofthemoneywillgototheRedCrosstohelpthosewhoneedhelp.A)Many B)Much C)Alittle D)Afew35.Everycitizenshouldberesponsiblehisbehaviors.A)for B)with C)on D)to36.canstoptheyoungmeanfromgoingtoGuangzhoutowatchthebasketballmatch.A)Something B)Nothing. C)Anything D)Everything37.Yourgrandpausuallywearsglasseswhenhereadsnewspapers,?A)hasn'the B)hashe C)doesn'the D)doeshe38.Doyouthinkwhichmeansoftransportis,theundergroundortheplane?A)safe B)safetyC)safest D)thesafest39.ThestorytookplaceinItalymanyyearsago,manypeoplestillrememberit.A)so B)or C)but. D)and40.Willyouhelphimyouseeanoldmanlyinginthemiddleofthestreet?A)though B)when C)because D)unless41.—doyouStudyGerman?—Bylisteningtotapes.A)HowB)Where C)When D)Why42.ThefamoussingerseventourconcertssincethisMay.A)gives B)gave C)isgiving D)hasgiven43.The2017NobelPrizeforMedicinetothreescientistslastmonth.A)awards B)awarded C)wasawardingD)was,awarded44.Wouldyoumindanothercupofcoffee?A)have B)having C)tohave D)had45.—MustIfinishmyhomeworkbeforeIgotoplaybasketball?—Yes,you.A)needn't B)can't C)must D)may46.Mumtoldhissontoomuchtimeoncomputergames.A)notspend B)notspendingC)don'tspendD)nottospend47.Thereonlythreelittledogsandasmallcamthatsmallpetshop.A)am B)is C)are D)be48.Couldyoutellme?A)whenwillthenextbullettrainleaveforNanjingB)whenthenextbullettrainwillleaveforNanjingC)whenwouldthenextbullettrainleaveforNanjingD)whenthenextbullettrainwouldleaveforNanjing49.—Areyousureyoucandowellintomorrow'stest,Anna?—I'vegoteverythingready.A)It'shardtosay. B)I'mafraidnot.C)Ithinkso. D)Ihopenot.50.—MayInaveyourname?—.A)Yes,please.B)Allright.C)Ofcourse. D)CallmeYang,please.金山区初三英语第一学期期末质量抽查试卷II.Choosethebestanswer.(选择最恰当的答案)〔共20分〕31.Cindy,doyouhave_______e-mailaddresses?Iwanttosendyousomephotos.A.aB.anC.theD./32.Teenagersshouldlearntoprotect______fromallkindsofdanger.A.theyB.themC.theirD.themselves33.Wehavetwoforeignteachershere.OneisfromEngland,and______isfromAmerica.A.anotherB.theotherC.otherD.theothers34.Couldyoupleasegetmesome_______?I’mhungry.A.appleB.waterC.breadD.egg35.Hehasreadmanybooksonhistory,soit’s_______forhimtoanswerthesequestions.A.hardB.impossibleC.seriousD.easy36.GuoJingming,24,hastoppedthe2017RichListofChineseWriters,whichwaspublished___ __November21,2017.A.inB.onC.atD.for37._______importantnewsistoourdailylife!A.WhatB.HowC.WhatanD.Howa38.Jack,you______askawomanherageinEngland.It’simpolite.A.needn’tB.don’thavetoC.oughttoD.shouldn’t39.JohnandIaregoodfriends.We______eachotherfortenyears.A.haveknownB.hadknownC.knowD.knew40.–Haveyoumovedintoyournewflat,Mr.Smith?–Notyet,therooms________nextmonth.A.arepaintedB.arepaintingC.willpaintD.willbepainted41.Ifyoutakeafishoutofwater,it_______.A.dieB.diesC.dyingD.died42.Oh,myGod.I________myphonedinthecarjustnow.A.leftB.diesC.dyingD.died43.Althoughthepolicehadgotmanyclues,thethiefstillwantedtodeny______thecar.A.stealB.stealingC.stoleD.steals.44.Whenheheardthegreetingsinthebank,hethoughttheclerksounded_______.A.rudeB.rudelyC.politeD.politely45.Agoodfriendalwaysgivesyouahelpinghand_______you’reintrouble.A.whenB.beforeC.untilD.though46.Readerswon’tbeinterestedinacomicstrip______itdoesn’thavemuchaction.A.ifB.whenC.unlessD.because47.Whenheheardacryforhelp,hecanoutas______ashecould.A.hardlyB.finallyC.quicklyD.slowly48.Mygrandpa______drivinglessonsinhissixties.HeisreadytodrivearoundChina.A.stayedupB.gaveupC.tookupD.wokeup49.–Hello,Ms.Li,youcarrysomanythings.AnythingIcandotohelp?–________A.Yes,I’dliketo.B.No,thanks.IamOK.C.You’rewelcome.D.That’sallright.50.–Excuseme,wouldyoumindifIsithere?–_________.A.Yes,pleas.B.Nevermind.C.CertainlyD.Of,coursenot.静安区初三英语第一学期期末质量抽查试卷II.Choosethebestanswer〔选择最恰当的答案〕：〔共20分〕31.Myparentsaskedmetosendtheme-mailonceaweek.A)aB)anC)theD)/32.YoucanimproveyourspokenEnglishusingitmoreandmore.A)inB)atC)byD)fromputersaresupercalculatorsandpeopleoftencallelectronicbrain.A)theyB)theirC)theirsD)them34.PeopleinEnglandprefertobuymanyinthesupermarketatweekends.A)breadB)meatC)riceD)potatoes35.Treesonsidesofthestreetaredecoratedbeautifullytowelcomethegreatevent.A)eitherB)bothC)neitherD)all36.Theroastbeeftastesso.MayIhaveonemorepiece,mum?A)wellB)badC)deliciousD)terrible37.AmongtheearringsIchoosepairbecauseIdidn’tbringenoughmoneythatday.A)cheapB)cheaperC)cheapestD)thecheapest38.MissFang’sneverbeentoHainanIslandforholiday.Mr.Lin.A)NeitherisB)NeitherhasC)SoisD)Sohas39.Youtellhimthegoodnewsbecausehehasalreadyknownit.A)needn’tB)maynotC)mustn’tD)can’tefuladviceonmydietourteacherhasgivenus!A)WhatB)WhataC)WhatanD)How41.Domoreexerciseeveryday,you’llbestrongerthanbefore.A)soB)butC)andD)or42.Wehavebeengoodfriendswejoinedthesamesinginggroup.A)untilB)whenC)sinceD)though43.TheOTVTower alotofvisitorsfromallovertheworldeveryyear.A)willattractB)attractsC)attractedD)hasattracted44.ThechiefeditoraskedMichaelanarticleabout“Memory”.A)wroteB)towriteC)writingD)writes45.WegreatprogressinEnglishsinceMissHuangcametoteachus3yearsago.A)madeB)makeC)havemadeD)hadmade46.Thefunnystorytoldbe Zhoulibo madethelittlegirlalot.A)laughB)laughedC)laughsD)laughing47.Manygraduatesbytheuniversitytocelebrateits100th birthdaylastweek.A)haveinvitedB)willinviteC)areinvitedD)wereinvited48.Theoldladycouldn’tremember.A)whereshehadputherglassesB)wherehadsheputherglassesC)wheresheputsherglassesD)wheredidsheputherglasses49.-It’sabitcoldtoday.Wouldyoumindclosingthewindow?-A)Nevermind.B)You’rewelcome.C)Ofcoursenot.D)No,thanks.50.-Youcoughalotthesedays.You’dbettergotoseethedoctor.-.A)I’msorry.B)Notatall.C)That’sallrightD)OK,I’lltakeyouradvice.卢湾区初三英语第一学期期末质量抽查试卷II.Choosethebestanswer.(选择最恰当的答案)(共20分)31.Thereis“h”intheword?'honest“,butitisnotpronounced.A)/ B)aC)an D)the32.Theworstfireoccurred(发生)inHongKongNovember30,2011.A)in B)on C)at D)by33.Assoonasyoucomebackfromtheairport,pleasegivearing.A)my B)mine C)I D)me34.Idon'tlikethiskindofcellphone.Willyoushowme?A)other B)theother C)another D)others35.Thecustomerwasangrythewaitressforherbadservice.A)in B)at C)with D)about36.—Shallweleavenow?—Don'thurry.Westillhavetimeleft.A)alittle B)little C)afew D)few37.Alice'smotherboughtAliceanewdress.Thisbeautifuldressmadeherlook.A)quietly B)lovely C)politely D)gently38.Mysonlikesreadingstories.Nowhecantellastoryasashissister.A)better B)best C)good D)well39.ThefilmTintin'sAdventureis,soitiswelcomedbyteenagers.A.amazing B)excited C)boring D)bored40.IhavesomethingimportanttodiscusswithTim.IwillwaitforTimhegetsback.A)as B)until C)when D)after41.Feixinisveryconvenient.SendingFeixinpopularthesedays.A)getting B)got C)get D)isgetting42.KevincamefromEngland.HeinShanghaifortenyearsbytheendoflastyear.A)haslived B)lived C)hadlived D)lives43.—ShallItellMikeaboutit?—No,you.He'salreadyknownit.A)needn't B)can't C)must D)may44.Let'shaveacompetition.Thefirsttofinishthisnovelwillbethewinner.A)read B)toread C)reading D)reads45.Thisproblemisverydifficult.Itisnoteasyit.A)solve B)solving C)solves D)tosolveputersworkaccurately.Theyseldomgivewronganswers,?A)arethey B)aren'tthey C)don'tthey D)dothey47.Theresomebreadinthefridge.Itisnotnecessarytogotothestoretoday.A)am B)is C)are D)be48.—Couldyoutellmetomorrowevening?—Well,itwillstartat9o'clock.A)whenthefilmwillstartB)whenwillthefilmstartC)whenthefilmwouldstartD)whenwouldthefilmstart49.—Jack,helpyourselftosomedumplings.—A)No,thanks.I'vehadenough.B)That'sallright.C)You'rewelcome. D)It'sapleasure.50.—Roberthurthislegwhilehewashaving400mrelayrace(接力棒比赛)yesterday. —A)Itdoesn'tmattermuch. B)I'msorrytohearthat.C)That'sgreat. D)It'sbadnews.闵行区初三英语第一学期期末质量抽查试卷II.Choosethebestanswer.(选择最恰当的答案)〔共20分〕31.Cormorantfishingis_______traditionalChineseskill,butfewpeopleknowitnow.A.aB.anC.theD./32.Fancyisapleasantgirlwithacheerfulface.Sheisagoodfriendof_______.A.IB.myC.meD.mine33.Lucythinksyoungpeoplecanlearnhowtocareforothers________keepingpets.A.atB.onC.inD.by34.Markisn’tfeelingwellnowasshehadtoomuch_______justnow.A.potatoB.noodleC.breadD.biscuit35.–Whichplacedoyouprefertolivein,acityoracountryside?–Idon’tcare.________isfine.A.EitherB.NeitherC.AllD.None36.We______hurryallthewaytotheairport,theflightwascancelledbecauseofthefoggyweather.A.mustn’tB.couldn’tC.needn’tD.shouldn’t37.________funnytheanimalsare!Theyarejumpingupanddownthetreesexcitedly.A.HowB.WhatC.WhataD.Whatan38.Gingercan’tdanceas______asJasmine,butshestillgottheprize.A.beautifullyB.morebeautifullyC.lessbeautifullyD.themostbeautifully39.Ifyou______rightnow,youwillcatchupwithhimintwohours.A.startB.willstartC.startedD.arestarting40.TheSmiths_______thefenceoftheirnewhousedarkgreenalready.A.paintB.willpaintC.havepaintedD.hadpainted41.Henry________morethantwohundredforeignstampsbytheendoflastmonth.A.collectedB.hadcollectedC.wouldcollectD.wascollecting42.Don’tworry,yourpackage_______hereuntilyoucomeback,soenjoyshoppinghere.A.keptB.waskeepingC.hasbeenkeptD.willbekept43.Hisparentsdon’tlethim_______televisiononschoolnights.A.watchB.towatchC.watchingD.watches44.Mattbecameso______whenIdroppedthecoffeeonhershirt,whichmademequiteupset.A.forgetfulB.carefullyC.angryD.sadly45.Oftenlifeismuch________outsidethebigcities,asistrueinothercountriesaswell.A.slowB.slowerC.slowestD.theslowest46.Youcanbuycomputersatalocalshop.They’reusuallymareexpensive,______youcangetbetterafter-salesservice.A.andB.butC.soD.or47.Arthur,youwillgettoothache______youcleanyourteethregularly.A.unlessB.sinceC.ifD.before48.Thethiefadmitted_______theoldwoman’spurseinthedepartmentstore.A.stealB.tostealC.stealingD.stole49.–I’mterriblysorry.I’veforgottentobringyournotebookhere.–__________________A.It’shardtosay.B.Ofcoursenot.C.That’sallright.D.It’smypleasure.50.–Keepingpetdogsisagoodidea.It’swonderfultoseethemgrowingupquickly.–______Somedogsbarkatnightandthisstopstheirneighboursfromgettinganysleep.A.Areyoukidding.B.Ithinkso,too.C.NeitherdoI.D.Idon’tagreewithyou.浦东新区初三英语第一学期期末质量抽查试卷II.Choosethebestanswer(选择最恰当的答案)：(共20分)31.Thesoldierrandownthestairs,twoattime.A)a B)an C)the D)/putersaresupercalculators,weusuallycallelectronicbrains.A)their B)theirs C)them D)themselves33.TheweddingofPrinceWilliamandKateMiddletonwasheldinWestminsterCathedral______April29,2017.A)in B)on C)at D)by34.Istillfeelhungryaftereatingtworicedumplings.Couldyoupleasegivemeone?A)theother B)other C)another D)others35.ItisreportedthatofthefruitsinthatsupermarketarefromHainanIsland.A)twothirds B)two-thirds C)two-third D)twothree36.---Whichbookdoyouprefer?---isOK.Ilikereadingallkindsofbooks.A)Neither B)Either C)Both D)None37.Ifyousaveeveryday,you'llbeabletobuyamobileinayear.A)alittle B)little C)afew D)fewefulsuggestionyouhavegivenme!A)How B)What C)Whata D)Whatan39.Theblacksuitcaseistheredone.I'lltaketheredone.A)soexpensiveas B)muchexpensivethanC)moreexpensiveas D)muchmoreexpensivethan40.Theboycheckedhistestpaperinordertogetfullmarks.A)enoughcareful B)enoughcarefully C)carefulenough D)carefullyenough41.WewillgotoHappyValleytomorrowitrains.A)until B)when C)unless D)if42.Tooursurprise,weenjoyahalfmonthholidayhiJanuaryin2018.A)should B)can C)must D)need43.WefeelsothatChinahassentitsfirstspacelaboratory,Tiangong-1intoorbitsuccessfully.A)exciting B)excited C)excite D)excitedly44.Peteranymoneyfromhisparentsbecausehehasfoundagoodjobandcanearnmoneybyhimself.A)needn'tto B)doesn'tneedto C)doesn'tneed D)needn't45.theWorldExpowasover,alotofvisitorsstillgototheChinaPaviliontoenjoythemselves andtakephotos.A)Although B)Since C)When D)As46.Thesuspectadmittedthevaluablevaseafterthedetectiveshowedhimtheproof.A)stole B)tosteal C)stealing D)steal47.MissLiEnglishinthisschoolsinceshemovedtothiscityfromherhometown.A)taught B)hastaught C)wasteaching D)hadtaught48.Parentsoftenexpecttheirchildrenallthethingsthattheycouldn'tdointhepast.A)did B)doing C)todo D)do49.---You'dbetterreadEnglishnewspapersmoreoftenifyouwanttoimproveyourreadingability.---A)That'sgood. B)Itdoesn'tmatter.C)I'mafraidnot. D)Thanks.I'lltakeyouradvice.。

2019年上海市16区九年级上学期期末(一模)数学试卷分类汇编;二次函数专题

2019年上海市16区九年级上学期期末(一模)数学试卷分类汇编;二次函数专题

上海市16区九年级上学期期末（一模）数学试卷分类汇编二次函数专题宝山区24．（本题共12分，每小题各4分）设a，b是任意两个不等实数，我们规定：满足不等式a≤≤b的实数的所有取值的全体叫做闭区间，表示为[a，b]．对于一个函数，如果它的自变量与函数值y满足：当m≤≤n时，有m≤y≤n，我们就称此函数是闭区间[m，n]上的“闭函数”．如函数y＝－＋4，当＝1时，y＝3；当＝3时，y＝1，即当1≤≤3时，恒有1≤y≤3，所以说函数y＝－＋4是闭区间[1，3]上的“闭函数”，同理函数y＝也是闭区间[1，3]上的“闭函数”．（1）反比例函数2018yx是闭区间[1，2018]上的“闭函数”吗？请判断并说明理由；（2）如果已知二次函数y＝2－4＋是闭区间[2，t]上的“闭函数”，求和t的值；（3）如果（2）所述的二次函数的图像交y轴于C点，A为此二次函数图像的顶点，B为直线＝1上的一点，当△ABC为直角三角形时，写出点B的坐标．长宁区24．（本题满分12分，每小题4分） 在直角坐标平面内，直线221+=x y 分别与轴、y 轴交于点A 、C . 抛物线c bx x y ++-=221经过点A 与点C ，且与轴的另一个交点为点B . 点D 在该抛物线上，且位于直线AC 的上方．（1）求上述抛物线的表达式；（2）联结BC 、BD ，且BD 交AC 于点E ，如果∆ABE 的面积与∆ABC 的面积之比为45，求∠DBA 的余切值；（3）过点D 作DF ⊥AC ，垂足为点F ，联结CD . 若∆CFD 与∆AOC 相似，求点D 的坐标．崇明区24．（本题满分12分，每小题各4分）24，(0,2)B ．(,0)M m 为线段OA 上一个动点（点M 与点A 不重合），过点（1（2（3备用图第24题图（第24题图）（备用图）奉贤区如图，在平面直角坐标系Oy 中，已知抛物线238y x bx c =++与轴交于点A （-2,0）和点B ，与y 轴交于点C （0，-3），经过点A 的射线AM 与y 轴相交于点E ，与抛物线的另一个交点为F ，且13AE EF =. （1）求这条抛物线的表达式，并写出它的对称轴； （2）求∠F AB 的余切值；（3）点D 是点C 关于抛物线对称轴的对称点，点P 是y 轴上一点，且∠AFP =∠DAB ，求点P 的坐标.虹口区20、小明按照列表、描点、连线的过程画二次函数的图像，下表与下图是他所完成的部分表格与图像，求该二次函数的解析式，并补全表格与图像．24．（本题满分12分，第（1）小题满分4分，第（2）小题满分4分，第（3）小题满分4分） 如图，在平面直角坐标系Oy 中，抛物线与轴相交于点A （-2,0）、B （4,0），与y 轴交于点C （0，-4），BC 与抛物线的对称轴相交于点D ．（1）求该抛物线的表达式，并直接写出点D 的坐标； （2）过点A 作AE ⊥AC 交抛物线于点E ，求点E 的坐标；（3）在（2）的条件下，点F 在射线AE 上，若△ADF ∽△ABC ，求点F 的坐标．黄浦区20．（本题满分10分）用配方法把二次函数2264y x x =-++化为()k m x a y ++=2的形式，再指出该函数图像的开口方向、对称轴和顶点坐标. 24．（本题满分12分）在平面直角坐标系Oy 中，对称轴为直线=1的抛物线28y ax bx =++过点（﹣2，0）. （1）求抛物线的表达式，并写出其顶点坐标；（2）现将此抛物线沿y 轴方向平移若干个单位，所得抛物线的顶点为D ，与y 轴的交点为B ，与轴负半轴交于点A ，过B 作轴的平行线交所得抛物线于点C ，若AC ∥BD ，试求平移后所得抛物线的表达式.嘉定区20.（本题满分10分，每小题5分）已知二次函数c bx ax y ++=2的图像上部分点的坐标（,y ）满足下表：（1）求这个二次函数的解析式；（2）用配方法求出这个二次函数图像的顶点坐标和对称轴.Oy24.已知在平面直角坐标系Oy (如图7)中,已知抛物线c bx ++=2x 32y 经过点A (1,0）、B (0,2).(1)求该抛物线的表达式；(2)设该抛物线的对称轴与轴的交点为C , 第四象限内的点D 在该抛物线的对称轴上,如果 以点A 、C 、D 所组成的三角形与△AOB 相似, 求点D 的坐标；(3)设点E 在该抛物线的对称轴上,它的纵坐标是1, 联结AE 、BE ,求sin ∠ABE .金山区24．（本题满分12分，每小题4分）平面直角坐标系Oy 中（如图），已知抛物线y =a 2+b +3与y 轴相交于点C ，与轴正半轴相交于点A ，OA=OC ，与轴的另一个交点为B ，对称轴是直线=1，顶点为P ． （1）求这条抛物线的表达式和顶点P 的坐标； （2）抛物线的对称轴与轴相交于点M ，求∠PMC 的正切值；（3）点Q 在y 轴上，且△BCQ 与△CMP 相似，求点Q 的坐标．静安区24．（本题满分12分，其中第（1）小题4分，第（2）小题8分）在平面直角坐标系Oy 中（如图），已知抛物线352-+=bx ax y经过点A （－1，0）、B （5，0）． （1）求此抛物线顶点C 的坐标；（2）联结AC 交y 轴于点D ，联结BD 、BC ，过点C 作CH ⊥BD ，垂足为点H ，抛物线对称轴交轴于点G ，联结HG ，求HG 的长．闵行区19．（本题满分10分）如图在平面直角坐标系Oy 中，O 为坐标原点，点A 的坐标为（－1，2），点B 在第一象限，且OB ⊥OA ， OB =2OA ，求经过A 、B 、O 三点的二次函数解析式．24．（本题共3题，每小题4分，满分12分）抛物线23(0)y ax bx a =++≠经过点A （1-，0），B且与y 轴相交于点C ．（1）求这条抛物线的表达式； （2）求∠ACB 的度数；（3）设点D 是所求抛物线第一象限上一点，且在对称轴的右侧，点E 在线段AC 上，且DE ⊥AC ， 当△DCE 与△AOC 相似时，求点D 的坐标．浦东新区19．（本题满分10分）将抛物线542+-=x x y 向左平移4个单位，求平移后抛物线的表达式、顶点坐标 和对称轴．24．（本题满分12分，每小题4分）（第24题图）已知抛物线y ＝a 2＋b ＋5与轴交于点A (1，0)和点B (5，0)，顶点为M ．点C 在轴的负半轴上，且AC ＝AB ，点D 的坐标为(0，3)，直线l 经过点C 、D ．（1）求抛物线的表达式；（2）点P 是直线l 在第三象限上的点，联结AP ，且线段CP 是线段CA 、CB 的比例中项，求tan ∠CPA 的值；（3）在（2）的条件下，联结AM 、BM ，在直线PM 上是否存在点E ，使得∠AEM =∠AMB .若存在，求出点E 的坐标；若不存在，请说明理由．普陀区20.（本题满分10分）已知一个二次函数的图像经过()0,3A -、()10B ，、(),23C m m +、()1,2D --四点，求这个函数的解析式及点C 的坐标．24．（本题满分12分）如图10，已知在平面直角坐标系xOy 中，抛物线22y ax ax c =++（其中a 、c 为常数，且a ＜0）与x 轴交于点A ，它的坐标是()3,0-，与y 轴交于点B ，此抛物线顶点C 到x 轴的距离为4． （1）求抛物线的表达式； （2）求CAB ∠的正切值；（3）如果点P 是抛物线上的一点，且ABP CAO ∠=∠，试直接写出点P 的坐标．青浦区24．（本题满分12分，第（1）小题3分，第（2）小题4分，第（3）小题5分）如图9，在平面直角坐标系Oy 中，抛物线()20y axbx c a =++>与轴相交于点A （-1，0）和点B ，与y 轴交于点C ，对称轴为直线1x =．（1）求点C 的坐标（用含a 的代数式表示）；（2）联结AC 、BC ，若△ABC 的面积为6，求此抛物线的表达式；（3）在第（2）小题的条件下，点Q 为轴正半轴上一点，点G 与点C ，点F 与点A 关于点Q 成中心对称，当△CGF 为直角三角形时，求点Q 的坐标．松江区19. （本题满分10分，每小题各5分）如图，已知平面直角坐标系xOy 中，O 为坐标原点.二次函数 2y x bx c =++的图像经过点A （3，0）、点B （0,3）,顶点为M ． （1）求该二次函数的解析式；图10图9（2）求∠OBM 的正切值.24.（本题满分12分，每小题各4分）如图，在平面直角坐标系Oy 中，抛物线y =2+b +c 的对称轴为直线=1，抛物线与轴交于A 、B 两点（点A 在点B 的左侧），且AB =4．又P 是抛物线上位于第一象限的点，直线AP 与y 轴交于点D ，与对称轴交于点E . 设点P 的横坐标为t .（1）求点A 的坐标和抛物线的表达式；（2）当AEEP =12时，求点E 的坐标；（3）记抛物线的顶点为M ，与y 轴的交点为C ， 当四边形CDEM 是等腰梯形时，求t 的值.徐汇区20．（本题满分10分，第（1）小题满分5分，第（2）小题满分5分）已知一个二次函数的图像经过(0,6)A -、(4,B -（1）求这个二次函数的解析式； （2）分别联结AC 、BC ，求tan ACB ∠.24．（本题满分12分，第（1）小题满分3分，第（1）小题满分4分，第（3）小题满分5分）(第24题图)如图，在平面直角坐标系xOy 中，直线y kx =（0k ≠）沿着y 轴向上平移3个单位长度后，与x 轴交于点B (3，0)，与y 轴交于点C ．抛物线2y x bx c =++． （1）求直线BC 及该抛物线的表达式；（2）设该抛物线的顶点为D ，求DBC ∆的面积； （3）如果点F 在y 轴上，且∠CDF =45°，求点F杨浦区21．（本题满分10分）甲、乙两人分别站在相距6米的A 、B 两点练习打羽毛球，已知羽毛球飞行的路线为抛物线的一部分，甲在离地面1米的C 处发出一球，乙在离地面1.5米的D 处成功击球，球飞行过程中的最高点H 与甲的水平距离AE 为4米，现以A 为原点，直线AB 为轴，建立平面直角坐标系（如图所示）.求羽毛球飞行的路线所在的抛物线的表达式及飞行的最高高度.（第21题图）24．（本题满分12分，第（1）小题3分，第（2）小题5分，第（3）小题4分）在平面直角坐标系Oy 中，抛物线2221y x mx m m =-+--+交 y 轴于点为A ，顶点为D ，对称轴与轴交于点H .（1）求顶点D 的坐标（用含m 的代数式表示）；（2）当抛物线过点（1，-2），且不经过第一象限时，平移此抛物线到抛物线22y x x =-+的位置，求平移的方向和距离；（3）当抛物线顶点D 在第二象限时，如果∠ADH =∠AHO ，求m 的值. 参考答案宝山区（第24题图）长宁区24．（本题满分12分，每小题4分）解：（1）由已知得A (-4,0),C (0,2) （1分） 把A 、C 两点的坐标代入c bx x y ++-=221得 ⎩⎨⎧=-=0482b C （1分）∴⎪⎩⎪⎨⎧=-=223c b （1分） ∴223212+--=x x y （1分） （2）过点E 作EH ⊥AB 于点H 由上可知B （1,0） ∵ABC ABE S S ∆∆=54∴OC AB EH AB ∙⨯=∙215421 ∴5854==OC EH （2分） ∴)58,54(-E ∴59154=+=HB （1分） ∵︒=∠90EHB ∴895859cot ===∠EH HB DBA （1分）（3）∵DF ⊥AC ∴︒=∠=∠90AOC DFC①若CAO DCF ∠=∠，则CD//AO ∴点D 的纵坐标为2把y=2代入223212+--=x x y 得=-3或=0（舍去） ∴D (-3,2) （2分）②若ACO DCF ∠=∠时，过点D 作DG ⊥y 轴于点G ，过点C 作CQ ⊥DC 交轴于点Q∵︒=∠=∠90AOC DCQ ∴︒=∠+∠=∠+∠90CAO ACO ACQ DCF ∴CAO ACQ ∠=∠∴CQ AQ = 设Q (m ,0),则442+=+m m ∴23-=m ∴)0,23(-Q易证：COQ ∆∽DCG∆∴34232===QO CO GC DG 设D(-4t,3t+2)代入223212+--=x x y 得t=0(舍去)或者83=t ∴)825,23(-D （2分） 崇明区24、（1）解：设直线AB 的解析式为y kx b =+（0k ≠） ∵(3,0)A ，(0,2)B∴302k b b +=⎧⎨=⎩ 解得232k b ⎧=-⎪⎨⎪=⎩ ……………………………………1分∴直线AB 的解析式为223y x =-+ ………………………………1分 ∵抛物线243y x bx c =-++经过点(3,0)A ，(0,2)B ∴493032b c c ⎧-⨯++=⎪⎨⎪=⎩ 解得1032b c ⎧=⎪⎨⎪=⎩ …………………………1分∴2410233y x x =-++ ……………………………………………1分 （2）∵MN x ⊥轴， (,0)M m ∴设2410(,2)33N m m m -++，2(,2)3P m m -+ ∴2443NP m m =-+， 223P M m =-+ ……………………1分 ∵P 点是MN 的中点 ∴NP PM = ∴2424233m m m -+=-+ ………………………………………1分 解得112m =，23m =（不合题意，舍去） ………………………1分 ∴110(,)23N ……………………………………………………1分 （3）∵(3,0)A ，(0,2)B ， 2(,2)3P m m -+∴AB =BP =∴3AP m = ∵BPN APM =∠∠∴当BPN △与APM △相似时，存在以下两种情况： 1°BP PMPN PA =∴2223443m m m -+=-+ 解得118m = ……………………1分 ∴11(,0)8M …………………………………………………………1分 2°BP PAPN PM =∴233424233m m m =-+-+ 解得52m = ……………………1分∴5(,0)2M ……………………………………………………………1分奉贤区虹口区黄浦区20. 解：2264y x x =-++=29923442x x ⎛⎫--+++ ⎪⎝⎭————————————————————（3分） =22317317222222x x ⎡⎤⎛⎫⎛⎫--+=-+-+ ⎪ ⎪⎢⎥⎝⎭⎝⎭⎣⎦—————————————（2分）开口向下，对称轴为直线32x =，顶点317,22⎛⎫⎪⎝⎭————————————（5分）24. 解：（1）由题意得：428012a b b a-+=⎧⎪⎨-=⎪⎩，—————————————————（2分）解得：12a b =-⎧⎨=⎩，—————————————————————————（1分）所以抛物线的表达式为228y x x =-++，其顶点为（1,9）. —————（2分） （2）令平移后抛物线为()21y x k =--+，——————————————（1分） 易得D （1，），B （0，-1），且10k ->，由BC 平行于轴，知点C 与点B 关于对称轴=1对称，得C （2，-1）. （1分） 由()201x k =--+，解得1x =，即()1A .————（2分） 作DH ⊥BC 于H ，CT ⊥轴于T ，则在△DBH 中，HB =HD =1，∠DHB =90°， 又AC ∥BD ，得△CTA ∽△DHB ，所以CT =AT，即(121k -=-，————————————————（2分） 解得=4,所以平移后抛物线表达式为()221423y x x x =--+=-++. —————（1分）嘉定区已知二次函数c bx ax y ++=2的图像上部分点的坐标（,y ）满足下表：（3）求这个二次函数的解析式；（4）用配方法求出这个二次函数图像的顶点坐标和对称轴. 【解答】（1）将（-1，-4），（0,-2）,(1,2)三个点代入⎪⎩⎪⎨⎧-===⇒⎪⎩⎪⎨⎧++==-+-=-231224c b a c b a c c b a 所以232-+=x x y（2）417232322-⎪⎭⎫ ⎝⎛+=-+=x x x y 所以函数顶点坐标为⎪⎭⎫ ⎝⎛--417,23 ，对称轴为23-=x 24.已知在平面直角坐标系Oy (如图7)中,已知抛物线c bx ++=2x 32y 经过点A (1,0）、 B (0,2).(1)求该抛物线的表达式；(2)设该抛物线的对称轴与轴的交点为C , 第四象限内的点D 在该抛物线的对称轴上,如果 以点A 、C 、D 所组成的三角形与△AOB 相似, 求点D 的坐标；(3)设点E 在该抛物线的对称轴上,它的纵坐标是1, 联结AE 、BE,求sin ∠ABE .【解答】（1）将点A (1，0),B (0，2)代入得：⎪⎩⎪⎨⎧==++2032c c b解得b =38-c =2∴抛物线表达式23832y 2+-=x x（2）易得对称轴=2，点c (2,0)点D 在抛物线对称轴上，设点D （2，a ） ∵A 、C 、D 所组成的三角形与△AOB 相似 ∠BOA =∠ACD =90°12=AO BO ∴12=CD AC 或21=CD AC ∵AC =1 所以CD =21或CD =2 所以点D 的坐标为：D (2,21-),D (2,-2) (3)∵E 在抛物线的对称轴上，纵坐标是1∴E （2,1）根据两点坐标公式得AB =5,BE =5,AE =2 过点A 作AF ⊥BE 与点F ,设EF =，则有()2222-5-5-2x x =解得=55 ∴AF =553 ∴sin ∠ABE =53金山区静安区24．解：（1）∵抛物线抛物线352-+=bx ax y 经过点A （－1，0）、B （5，0）． ∴⎪⎩⎪⎨⎧-+=--=,355250,350b a b a ，解得⎪⎩⎪⎨⎧-==,34,31b a ……………………………………………（2分）∴此二次函数的解析式为3534312--=x x y∴3)2(3135343122--=--=x x x y ，∴C （2，-3）…………………………………（2分） （2）由题意可知：抛物线对称轴交轴于点G , ∴CG ⊥AB , AB=5－（－1）=6，AG =BG =3,∴G （2，0）,CG= AG =BG =3, AC =BC =23…（1分）222ABBC AC =+, ∴△ACB 是等腰直角三角形∵OD ⊥轴，∴∠AOD =∠AGC=90°，∴OD ∥CG ，∴31==AG AO CG OD ，∴OD=1，∴D （0，﹣1）…（1分） ∴DA=2，DB=26在Rt △DCB 中，CH ⊥BD , ∴∠BHC =∠BCD=90°，又∵∠HBC =∠CBD ，∴△B C H ∽△BDC ，……………………………………………（1分） ∴BC BD BH BC =，∴BD BH BC ⋅=2，26)23(2⋅=BH ，∴26139=BH…（1分）∵263626139=，∴BD BGAB BH =………………………………………………（1分）又∵∠HBG =∠ABD ，∴△HBG ∽△ABD ………………………………………………（1分） ∴BD BG AD HG =，∴2632=HG ，∴13133=HG ………………………………………（2分） 答：HG 的长为13133． 闵行区19．解：作AC ⊥轴于点C ，作BD ⊥轴于点D ．……………………………………（1分）∵AO ⊥OB 得∠AOB=90︒，∴∠AOC+∠DOB=90︒． ∵BD ⊥轴得：∠BDO=90︒，∴∠BOD+∠B=90︒．∴∠AOC=∠B ，∠ACO=∠BDO=90︒．………………………………………（1分） ∴△ AOC ∽△ OBD ．……………………………………………………………（1分） ∴AO AC OCOB OD BD==．………………………………………………………………（1分） ∵OB =2AO ，点A 的坐标为（－1，2）．………………………………………（1分） ∴OD=4，DB=2，点B 的坐标为（4，2）．……………………………………（1分） 设所求的二次函数解析式为2(0)y ax bx a =+≠，由题意，得22164a b a b=-⎧⎨=+⎩…………………………………………………………（1分）解得1232a b ⎧=⎪⎪⎨⎪=-⎪⎩………………………………………………………………………（2分）∴所求的二次函数解析式为21322y x x =-．……………………………………（1分） 24．解：（1）由题意，得30933042a b a b -+=⎧⎪⎨++=⎪⎩………………………………………………（1分）解得21a b =-⎧⎨=⎩．………………………………………………………………（2分）∴这条抛物线的表达式为223y x x =-++．………………………………（1分） （2）作BH ⊥AC 于点H ，∵A 点坐标是（－4，0），C 点坐标是（0，3），B 点坐标是（32，0）， ∴AB=52，OC=3，．………………………………（1分） ∵BH AC OC AB ⋅=⋅，即∠BAD=532BH ⨯，∴BH =．………………………………………………………………（1分） Rt △ BCH中，BH ，，∠BHC =90º，∴sin ACB ∠．…………………………………………………………（1分）又∵∠ACB 是锐角，∴45ACB ∠=︒．………………………………………（1分）（3）延长CD 交轴于点G ，∵Rt △ AOC 中，AO=1，cos AO CAO AC ∠==∵△DCE ∽△AOC ，∴只可能∠CAO =∠DCE ．∴AG = CG ．……………（1分）∴122cos AC GAC AG AG ∠===．∴AG=5．∴G 点坐标是（4，0）．…………………………………………（1分）∵点C 坐标是（0，3），∴3:34CD l y x =-+．……………………………（1分）∴233423y x y x x ⎧=-+⎪⎨⎪=-++⎩ 解得787532x y ⎧=⎪⎪⎨⎪=⎪⎩，03x y =⎧⎨=⎩（舍） ∴点D 坐标是（78，7535）．………………………………………………（1分） 浦东新区19．解：∵54442+-+-=x x y =1)2(2+-x ．…………………………………（3分）∴平移后的函数解析式是1)2(2++=x y ．………………………………（3分）顶点坐标是（-2，1）．……………………………………………………（2分） 对称轴是直线2x =-．………………………………………………… （2分） 24．解：（1）∵ 抛物线52++=bx ax y 与轴交于点A （1，0），B （5，0），∴ ⎩⎨⎧=++=++.0552505b a b a ； ……………………… …（1分）解得⎩⎨⎧-==.61b a ；…………………………（∴ 抛物线的解析式为562+-=x x y .……（1 （2）∵ A （1，0），B （5，0）， ∴ OA=1，AB=4.∵ AC=AB 且点C 在点A 的左侧，∴ AC=4 .∴ CB=CA+AB=8. ………………………………………………（1分）∵ 线段CP 是线段CA 、CB 的比例中项，∴CBCPCP CA =. ∴ CP=24. ……………………………………………………（1分）又 ∵ ∠PCB 是公共角，∴ △CPA ∽△CBP .∴ ∠CPA= ∠CBP . ………………………………………………（1分）过P 作PH ⊥轴于H .∵ OC=OD=3，∠DOC=90°，∴ ∠DCO=45°.∴ ∠PCH=45° ∴ PH=CH=CP 45sin =4，∴ H （-7，0），BH=12. ∴ P （-7，-4）. ∴ 31tan ==∠BH PH CBP ，31tan =∠CPA . ………………………（1分） （3） ∵ 抛物线的顶点是M （3，-4），………………………………… （1分） 又 ∵ P （-7，-4），∴ PM ∥轴 . 当点E 在M 左侧， 则∠BAM=∠AME .（第24题图）∵ ∠AEM=∠AMB ，∴ △AEM ∽△BMA .…………………………………………………（1分）∴BA AM AM ME =. ∴45252=ME . ∴ ME=5，∴ E （-2，-4）. …………………………………（1分） 过点A 作AN ⊥PM 于点N ，则N （1，-4）.当点E 在M 右侧时，记为点E '， ∵ ∠A E 'N=∠AEN ，∴ 点E '与E 关于直线AN 对称，则E '（4，-4）.………………（1分） 综上所述，E 的坐标为（-2，-4）或（4，-4）.普陀区20．解：设所求二次函数解析式为()20y ax bx c a =++≠． ········································· （1分） 由这个函数的图像过()0,3A -，可知3c =-． ················································ （1分）再由这个函数的图像过()10B ，和()1,2D --，得 30,3 2.a b a b +-=⎧⎨--=-⎩································································································· （1分） 解这个方程组，得2,1.a b =⎧⎨=⎩················································································ （2分）因此，所求二次函数的解析式为223y x x =+-． ··········································· （1分） 由这个函数的图像过(),23C m m +，得22323m m m +=+-．解得 12m =或232m =-． ················································································ （2分）所以点C 的坐标为()2,7或3,02⎛⎫- ⎪⎝⎭． ····························································· （2分）24．解：（1）由题意得，抛物线22y ax ax c =++的对称轴是直线1x =-. ························· （1分） ∵a ＜0 ，抛物线开口向下，又与x 轴有交点，∴抛物线的顶点C 在x 轴的上方.由于抛物线顶点C 到x 轴的距离为4，因此顶点C 的坐标是()1,4-. ·············· （1分）可设此抛物线的表达式是()214y a x =++，由于此抛物线与x 轴的交点A 的坐标是()3,0-，可得1a =-. ························· （1分） 因此，抛物线的表达式是223y x x =--+. ······················································ （1分） （2）点B 的坐标是()0,3. ······················································································ （1分）联结BC .∵218AB =，22BC =，220AC =，得222AB BC AC +=. ····························· （1分） ∴△ABC 为直角三角形 ，90ABC ∠=. ··························································· （1分） 所以1tan 3BC CAB AB ∠==. ················································································ （1分） 即CAB ∠的正切值等于13.（3）点P 的坐标是()1,0或532,39⎛⎫- ⎪⎝⎭. ··························································· （2分+2分）青浦区24．解：（1）∵抛物线()20=++>y ax bx c a 的对称轴为直线1x =，∴12=-=bx a，得2=-b a ．…………………………………………………………（1分） 把点A （-1，0）代入2=++y ax bx c ，得=0-+a b c ，∴3=-c a ．………………………………………………………………………………（1分） ∴C （0，-3a ）．…………………………………………………………………………（1分） （2）∵点A 、B 关于直线1x =对称，∴点B 的坐标为（3，0）．…………………………（1分） ∴AB =4，OC =3a ．…………………………………………………………………………（1分） ∵12ABCSAB OC =⋅，∴14362⨯⨯=a ， ∴a =1，∴b =-2，c =-3，…………………………………………………………………（1分） ∴223=--y x x ．………………………………………………………………………（1分） （3）设点Q 的坐标为（m ，0）．过点G 作GH ⊥轴，垂足为点H ． ∵点G 与点C ，点F 与点A 关于点Q 成中心对称， ∴QC =QG ，QA =QF = m +1，QO =QH = m ，OC =GH =3，∴QF = m +1，QO =QH = m ，OC =GH =3，∴OF = 2m +1，HF = 1． Ⅰ.当∠CGF ＝90°时，可得∠FGH ＝∠GQH ＝∠OQC ， ∴tan tan FGH OQC ∠=∠，∴HF OCGH OQ =，∴133=m， ∴=9m∴Q 的坐标为（9，0）．……………………………………………………………………（2分） Ⅱ.当∠CFG ＝90°时，可得，tan tan FGH OFC ∠=∠，∴HF OCGH OF =，∴13321=+m ， ∴=4m ，Q 的坐标为（4，0）．……………………………………………………………（1分） Ⅲ.当∠GCF ＝90°时，∵∠GCF<∠FCO<90°，∴此种情况不存在．……………………………………………（1分） 综上所述，点Q 的坐标为（4，0）或（9，0）．松江区19.解：（1）∵抛物线c bx x y ++=2经过点A （3,0），B （0,3） ∴3=c ……………………………………………………………（1分）0332=++c b ． ………………………………………………（1分）解得4-=b …………………………………………………（2分） ∴所求抛物线的表达式为342+-=x x y ．…………………（1分） （2）．∵由抛物线342+-=x x y 解析式可得点M 的坐标为（2,-1）， ……………………………………………（2分） 过点M 作MH ⊥y 轴，垂足为H则MH =2,BH =4 ………………………………………………………（2分） ∴21tan ==BH MH OBM …………………………………………………（1分）24.解：（1）∵抛物线y =2+b +c 的对称轴为直线=1，抛物线 与轴交于A 、B 两点，且AB =4．∴A 的坐标为(-1,0),B 的坐标为(3,0), ………………1分∴⎪⎩⎪⎨⎧=++=+--0330)1(22c b c b解得：2-=b ，3-=c ……………………………2分 所以抛物线的表达式是：322--=x x y ．…………1分 （2）令抛物线对称轴交轴于点Q 过点P 作PH ⊥轴于点H ,∴PH ∥EQ ………………………………………………1分 ∵点P 的横坐标为t . 由（1）得p (t ,t 2-2t -3) ∴21==QH AQ EP AE ∴2112=-t ……………………………………………1分 ∴t =5……………………………………………………1分 ∴p (5,12) 由AHPHAQ EQ = ∴EQ =4∴E 的坐标为(1,4) ………………………………1分(第24题图)(3) 由（1）得322--=x x y ∴4)1(2--=x y∴M (1,-4) ， C （0，-3）…………………………1分∴∠CME =45°∵四边形CDEM 是等腰梯形 ∴∠AEM =45°∴∠P AB =45°………………………………………1分 ∴AH PH =∴ t 2-2t -3=t +1………………………………………1分 t =4(t =-1舍去)………………………………………1分徐汇区20．解：（1）设抛物线的解析式为2(0)y axbx c a =++≠，将点(0,6)A -、(4,6)B -、(6,0)C 代入得：661640366ca b c a b c -=⎧⎪-=++⎨⎪=++⎩； ……………………………………………………（2分） 解得1226a b c ⎧=⎪⎪=-⎨⎪=-⎪⎩； ……………………………………………………（2分）∴抛物线的解析式为21262y x x =--…………………………………（1分） （2）由点(0,6)A -、(4,6)B -、(6,0)C 可知：6,45OA OCAC OAC OCA ===∠=∠=o ,4,45.AB BAC ACO =∠=∠=o………………………………………（2分）过点B 作BD AC ⊥轴,垂足为B ． ………………………………………（1分）∴AD BD DC ===． ……………………………………（1分）在RT △CDB中，1tan .2DB ACB CD ∠=== ……………………（1分） 24．设直线BC 的解析式为3y kx =+，点B(3，0)代入，得3y x =-+．………………（1分） ∴点C(0，3)，点B(3，0)、 点C(0，3)代入2y x bx c =++，得243y x x =-+…………（2分） (1) 2243(2)1y x x x =-+=--，∴点D （2，-1），………………………………（1分） 设抛物线对称轴与x 轴交于点E ， ∵DE =EB =1，且DE ⊥EB ，∴ ∠EBD =45°，OB =OC =3，∴∠CBO =45°，∴∠CBD =90°， ………………………………（2分）∴132DBC S BD BC ∆=⋅==． ……………………………………（1分） (2) 由（1）A(1，0)，1tan 3OCA ∠=,由（2）1tan 3BCD ∠==, ∴OCA BCD ∠=∠，∴FCD BCA ∠=∠．……………………………………（2分） ∵ ∠CDF =∠CBA =45°，∴CAB CDF ∆:V ……………………………………（1分）∴CF CA CD CB =，133CF = ……………………………………（1分） ∴1(0,)3F -．……………………………………………………………………（1分）杨浦区解：由题意得：C （0，1），D （6，1.5），抛物线的对称轴为直线=4.----（3分） 设抛物线的表达式为()210y ax bx a =++≠-------------------------------------（1分）则据题意得：421.53661ba ab ⎧-=⎪⎨⎪=++⎩. ----------------------------------------------（2分）解得：12413a b ⎧=-⎪⎪⎨⎪=⎪⎩. -------------------------------------------------------------------（2分）∴羽毛球飞行的路线所在的抛物线的表达式为2111243y x x =-++. ------（1分） ∵()2154243y x =--+，∴飞行的最高高度为53米. ------------------------（1分） 24．（本题满分12分，第（1）小题3分，第（2）小题5分，第（3）小题4分） 解：（1）∵22221()1y x mx m m x m m =-+--+=---+.------------------------（1分） ∴顶点D （m , 1-m ）.------------------------------------------------------------------（2分） （2）∵抛物线2221y x mx m m =-+--+过点（1，-2），∴22121m m m -=-+--+.即220m m --=. ---------------------------（1分） ∴2m =或1m =-（舍去）. ------------------------------------------------------（2分） ∴抛物线的顶点是（2，-1）.∵抛物线22y x x =-+的顶点是（1，1），∴向左平移了1个单位，向上平移了2个单位. -------------------------（2分） （3）∵顶点D 在第二象限，∴0m <.情况1，点A 在y 轴的正半轴上，如图（1）.作AG ⊥DH 于点G ， ∵A （0,21m m --+），D （m ,-m +1），∴H （,0m ），G （2,1m m m --+）∵∠ADH =∠AHO ，∴tan ∠ADH = tan ∠AHO ，∴AG AODG HO=. ∴2211(1)m m m m m m m ---+=----+-. 整理得：20m m +=. ∴1m =-或0m =（舍）. --------------（2分）情况2，点A 在y 轴的负半轴上，如图（2）.作AG ⊥DH 于点G∵A （0,21m m --+），D（m ,-m +1）， ∴H （,0m ），G （2,1m m m --+） ∵∠ADH =∠AHO ，∴tan ∠ADH = tan ∠AHO ，∴AG AODG HO=. ∴2211(1)m m m m m m m -+-=----+-.整理得：220m m +-=. ∴2m =-或1m =（舍）. ---------（2分） ∴1m =-或2m =-.。

上海市各区2019届物理中考一模试卷按考点分类汇编《伏安法测电阻》含答案

上海市各区2019届物理中考一模试卷按考点分类汇编《伏安法测电阻》含答案

伏安法测电阻集锦1．甲、乙两位同学做“用电流表、电压表测电阻”实验。

两位同学所用器材完全相同，电源电压为6伏，待测电阻的阻值约为10欧，滑动变阻器标有“20Ω 1.5A”。

（1）甲同学按照18（a ）所示电路图正确连接电路，在闭合电键前，他应将滑动变阻器的滑片P 移到 （选填“A”或“B”）端。

（2）甲同学闭合电键，将滑动变阻器的滑片P 移到某一位置时，两电表示数如图18（b ）所示，由此可知：电压表示数为 伏，电流表示数为 安。

（3）甲同学继续移动滑片获取多组数据，其目的是 。

（4）乙同学将测得的三组数据记录在下表中，甲同学发现乙同学的实验数据存在问题，请你判断甲同学说的是否正确 （选填“是”或“否”），并简述你的理由：。

2． 为测量某个未知阻值的电阻，老师提供了两节新的干电池、电压表、电流表、电键、滑动变阻器、若干导线。

小红和小华分别设计了图12甲、乙所示的实验电路图。

①由设计的电路图可知，他们的实验原理是：________________________；（a ） 图18 （b ）②比较两个实验电路，你认为更为合理的是图______，理由是_____________________； ③小华按照图12乙连接实物继续实验，并设计了如下实验数据记录表。

（a ）闭合电键S 后，移动滑动变阻器滑片P 的过程中，电压表、电流表有示数，但示数变化范围很小，简述产生该现象的原因。

________________________________________ （b ）请在下表中补上实验数据表格的有关栏目。

3．小张同学做“用电流表、电压表测电阻”的实验，现有电源（电压保持不变）、待测电阻R x 、电流表、电压表（只有0～3伏档完好）、滑动变阻器、电键及导线若干。

小张正确连接电路后严格按要求进行操作，当他闭合电键时发现两电表的示数如图14（a ）、（b ）所示。

他经过思考后仍用原有器材重新连接了电路，并测得了三组数据记录在下表中。

2019年上海各区中考物理一模试题分类汇编——故障电路(word版含答案)

2019年上海各区中考物理一模试题分类汇编——故障电路(word版含答案)

2019 年上海中考物理一模试题分类汇编——故障电路1．（19虹口区一模）在如图所示的电路中，电源电压为U且保持不变。

闭合电键S，发现电压表的示数不变，已知电阻R1、R2中仅有一个出现了故障。

请根据相关信息写出电压表的示数及相对应的故障。

2．（19闵行区一模）在如图的电路中，电源电压保持不变，电阻R1、R2可能存在故障（1）当电键S 闭合时，观察到电压表示数，说明电路中没有故障。

（2）如果观察到电键S 闭合前后只有一个电表的示数发生改变，请指出示数发生变化的电表及对应的故障。

3．（19嘉定区一模）在图所示的电路中，电源电压为U保持不变，电阻R1、R2阻值均为R0．闭合电键S，电压表示数无变化。

已知电路中只有一处故障，且发生在电阻R1或R2上。

①该故障一定不是。

②为进一步确定故障，再将一只完好的电流表正确串联接入电路，闭合电键S观察现象进行判断。

请根据相关信息，写出两电表的示数及相对应的故障。

4．（19长宁区一模）如图的电路中，电源电压为U且保持不变。

闭合电键S，发现有一只电表示数为零，若已知电路中有一处故障，且只发生在电阻R1或R2处，则①请写出电路中可能发生的故障及相应电表的示数情况；；②移动滑片P ，发现两电表的示数均不发生变化，则电路中发生的故障是。

5．（19徐汇区一模）在图电路中，电源电压不变。

已知电路中仅有一处故障，且只发生在电阻R 或灯L 上，电键S 闭合后，至少有一个电表指针不发生偏转。

请根据相关信息写出电表偏转情况及对应的故障。

6．（19上海一模）如图电路中有用电器R1、R2，闭合电键电路正常工作。

一段时间后，发现电流表示数有变化。

已知故障只发生在用电器上。

请根据题意写出可能的故障情况。

（1）如电流表示数变小且不为零，则故障是；（2）如电流表示数变小且为零，则故障是。

7．（19 浦东新区一模）如图电路中，电源电压为U 且保持不变，电路中仅有一处故障，且只发生在电阻R 或灯L 上。

2019-2020学年上海十六区初三数学一模汇编

2019-2020学年上海十六区初三数学一模汇编

2019-2020学年上海十六区初三数学一模汇编宝山区2019学年第一学期期末考试九年级数学试卷 (3)杨浦区2019届初三一模数学试卷 (9)崇明区2019学年第一学期教学质量调研测试卷 (15)奉贤区2020届初三一模数学试卷 (21)虹口区2019学年度第一学期期终学生学习能力诊断测试 (27)黄浦区2019学年度第一学期九年级期终调研测试 (33)嘉定区2020届初三一模数学试卷 (39)静安区2019学年第一学期期末教学质量调研 (45)闵行区2020届初三一模数学试卷 (51)浦东新区2020届初三一模数学试卷 (57)普陀区2020届初三一模数学试卷 (61)青浦区2019学年第一学期九年级期终学业质量调研测试 (65)徐汇区2020届初三一模数学试卷 (69)长宁（金山）区2020届初三一模数学试卷 (73)松江区2019学年度第一学期期末质量监控试卷 (79)宝山区2019学年第一学期期末考试九年级数学试卷（满分150分，考试时间100分钟）考生注意：1． 本试卷含四个大题，共25题；2． 答题时，考生务必按答题要求在答题纸规定的位置上作答，在草稿纸、本试卷上答题一律无效；3． 除第一、二大题外，其余各题如无特别说明，都必须在答题纸的相应位置上写出证明或计算的主要步骤． 一. 选择题：（本大题共6题，每题4分，满分24分）1．符号A sin 表示………………………………………………………………… （ ）A ．3-；B ．2-； C ．5； D ．1-．3．二次函数221x y -=的图像的开口方向…………………………………… （ ） A ． 向左； B ． 向右； C ．向上； D ．向下．4．直角梯形ABCD 如图放置，AB 、CD 为水平线，BC ⊥AB ，如果∠BCA =67°，从低处A 处看高处C 处，那么点C 在点A 的……………… （ ） A ．俯角67°方向； B ．俯角23°方向； C ．仰角67°方向； D ．仰角23°方向． 5．已知、为非零向量，如果5b a =-，那么向量a 与b 的方向关系是……………………………………… （ ）A ．a ∥b ，并且a 和b 方向一致；B ．a ∥b ，并且a 和b 方向相反；C ．和方向互相垂直；D ．和之间夹角的正切值为5．6．如图，分别以等边三角形ABC 的三个顶点为圆心，以其 边长为半径画弧，得到的封闭图形是莱洛三角形，如果AB=2，那么此莱洛三角形（即阴影部分）的面积………（ ） A ．3+π B ． 3-π C ．322-π D ．32-π二．填空题：（本大题共12题，每题4分，满分48分） 7． 已知1:2=3：x ，那么x = ▲ ．BD8．如果两个相似三角形的周长比为1：2，那么它们某一对对应边上的高之比为▲．9．如图，△ABC中∠C=90°，如果CD⊥AB于D，那么AC是AD和▲的比例中项．10．在△ABC中，AB BC CA++= ▲．11．点A和点B在同一平面上，如果从A观察B，B在A的北偏东14°方向，那么从B观察A，A在B的▲方向．12．如图，在△ABC中，∠C=90°，∠A=30°，BD是∠ABC的平分线．如果xAC=，那么=▲（用表示）．13．如图，△ABC中，DE是BC的垂直平分线，DE交AC于点E，联结BE．如果BE=9，BC=12，那么cosC= ▲．14．若抛物线2()(1)y x m m=-++的顶点在第二象限，则m的取值范围为▲．15．二次函数=y322++xx的图像与y轴的交点坐标是__▲__．16.如图，已知正方形ABCD的各个顶点A、B、C、D都在⊙O上，如果P是AB的中点，PD与AB交于E点，那么PEDE＝▲ ．17.如图，点C是长度为8的线段AB上一动点，如果AC<BC，分别以AC、BC为边在线段AB的同侧作等边△ACD、△BCE，联结DE，当△CDE的面积为AC的长度是▲．18.如图，点A在直线xy43=上，如果把抛物线2xy=沿方向平移5个单位，那么平移后的抛物线的表达式为▲．三、解答题（本大题共7题，第19--22题每题10分；第23、24题每题12分；第25题14分；满分78分）19． （本题满分10分）计算：21245cos 260tan 6-︒-︒20．（本题满分10分，每小题各5分）已知：抛物线m x x y +-=22与y 轴交于点C(0,-2)，点D 和点C 关于抛物线对称轴对称． （1）求此抛物线的解析式和点D 的坐标；（2）如果点M 是抛物线的对称轴与x 轴的交点，求△MCD 的周长．21．（本题满分10分，每小题各5分）某仓储中心有一个坡度为2:1=i 的斜坡AB ，顶部A处的高AC 为4米，B 、C 在同一水平地面上，其横截面如图．（1）求该斜坡的坡面AB 的长度；（2）现有一个侧面图为矩形DEFG 的长方体货柜，其中长 DE =2.5米，高EF =2米.该货柜沿斜坡向下时，点D 离BC 所 在水平面的高度不断变化，求当BF =3.5米时，点D 离BC 所在水平面的高度DH ．22．（本题满分10分，每小题各5分）如图，直线l:y ，点1A 坐标为（1，0），过点1A 作x 轴的垂线交直线l 于点1B ，以原点O 为圆心，O 1B 为半径画弧交x 轴于点2A ；再过点2A 作x 的垂线交直线l 于点2B ，以原点O 为圆心，O 2B 长为半径画弧交x 轴于点3A ，…，按此做法进行下去． 求：（1）点1B 的坐标和∠1A O 1B 的度数； （2）弦43A B 的弦心距的长度．23．（本题满分12分，每小题各6分）如图，△ABC 中，AB=AC ，AM 为BC 边的中线，点D 在边A C 上，联结BD 交AM 于 点F ，延长BD 至点E，使得DCADDE BD =，联结CE ． 求证：（1）∠ECD=2∠BAM ；（2） BF 是DF 和EF 的比例中项．24．（本题共12分，每小题各4分）在平面直角坐标系内，反比例函数和二次函数)1(2-+=x x a y 的图像交于点A （1，a ）和点B （﹣1，﹣a ）．（1）求直线AB 与y 轴的交点坐标；（2）要使上述反比例函数和二次函数在某一区域都是y 随着x 的增大而增大，求a 应满足的条件以及x 的取值范围；（3）设二次函数的图像的顶点为Q ，当Q 在以AB 为直径的圆上时，求a 的值．25．（本题共14分，其中第（1）、（3）小题各4分，第（2）小题6分）如图，OC 是△ABC 中AB 边的中线，∠ABC=36°，点D 为OC 上一点，如果OD ＝k ·OC ，过D 作DE ∥CA 交于BA 点E ，点M 是DE 的中点．将△ODE 绕点O 顺时针旋转α度（其中︒︒1800 α）后，射线OM 交直线BC 于点N ．（1）如果△ABC 的面积为26，求△ODE 的面积（用k 的代数式表示）；（2）当N 和B 不重合时，请探究∠ONB 的度数y 与旋转角α的度数之间的函数关系式； （3）写出当△ONB 为等腰三角形时，旋转角α的度数．第25题图杨浦区2019届初三一模数学试卷2019.12一. 选择题（本大题共6题，每题4分，共24分）1. 把抛物线2y x =向左平移1个单位后得到的抛物线是（ ）A. 2(1)y x =+B. 2(1)y x =-C. 21y x =+D. 21y x =-2. 在Rt △ABC 中，90C ∠=︒，如果2AC =，3cos 4A =，那么AB 的长是（ ）A. 52B. 83C. 103D.3. 已知a r 、b r 和c r 都是非零向量，下列结论中不能判定a r ∥b r的是（ ）A. a r ∥c r ，b r ∥c rB. 12a c =r r ，2bc =rr C. 2a b =r r D. ||||a b =r r4. 如图，在6⨯6的正方形网格中，联结小正方形中两个顶点A 、B ，如果线段AB 与网格线的其中两个交点为M 、N ，那么::AM MN NB 的值是（ ）A. 3:5:4B. 3:6:5C. 1:3:2D. 1:4:25. 广场上喷水池中的喷头微露水面，喷出的水线呈一条抛物线，水线上水珠的高度y （米） 关于水珠和喷头的水平距离x （米）的函数解析式是2362y x x =-+（04x ≤≤），那么水 珠的高度达到最大时，水珠与喷头的水平距离是（ ）A. 1米B. 2米C. 5米D. 6米6. 如图，在正方形ABCD 中，△ABP 是等边三角形，AP 、BP 的延长线分别交边CD 于点E 、F ，联结AC 、CP ，AC 与BF 相交于点H ，下列结论中错误的是（ ）A. 2AE DE =B. △CFP ∽△APHC. △CFP ∽△APCD. 2CP PH PB =⋅二. 填空题（本大题共12题，每题4分，共48分） 7.如果cot α=α= 度8. 如果抛物线231y x x m =-+-+经过原点，那么m = 9. 二次函数2251y x x =+-的图像与y 轴的交点坐标为10. 已知点11(,)A x y 、22(,)B x y 为抛物线2(2)y x =-上的两点，如果122x x <<，那么1y 2y （填“>”、“<”或“=”）11. 在比例尺为1：8000 000地图上测得甲、乙两地间的图上距离为4厘米，那么甲、乙 两地间的实际距离为 千米12. 已知点P 是线段AB 上的一点，且2BP AP AB =⋅，如果10AB cm =，那么BP = cm 13. 已知点G 是△ABC 的重心，过点G 作MN ∥BC 分别交边AB 、AC 于点M 、N ， 那么AMNABCS S =V V 14. 如图，某小区门口的栏杆从水平位置AB 绕固定点O 旋转到位置DC ，已知栏杆AB 的长为3.5米，OA 的长为3米，点C 到AB 的距离为0.3米，支柱OE 的高为0.6米，那么栏杆端点D 离地面的距离为 米15. 如图，某商店营业大厅自动扶梯AB 的坡角为31°，AB 的长为12米，那么大厅两层 之间BC 的高度为 米（结果保留一位小数）【参考数据：sin310.515︒=，cos310.867︒=，tan310.601︒=】16. 如图，在四边形ABCD 中，90B D ∠=∠=︒，3AB =，2BC =，4tan 3A =，那么CD =17. 定义：我们知道，四边形的一条对角线把这个四边形分成两个三角形，如果这两个三角 形相似但不全等，我们就把这条对角线叫做这个四边形的相似对角线，在四边形ABCD 中， 对角线BD 是它的相似对角线，70ABC ∠=︒，BD 平分ABC ∠，那么ADC ∠= 度 18. 在Rt △ABC 中，90A ∠=︒，4AC =，AB a =，将△ABC 沿着斜边BC 翻折，点A 落在点1A 处，点D 、E 分别在边AC 、BC 的中点，联结DE 并延长交1A B 所在直线于点F ， 联结1A E ，如果△1A EF 为直角三角形时，那么a =三. 解答题（本大题共7题，共10+10+10+10+12+12+14=78分）19. 抛物线2y ax bx c =++中，函数值y 与自变量x 之间的部分对应关系如下表：（1（2）如果将该抛物线平移，使它的顶点移到点(2,4)M 的位置，那么其平移的方法是 .20. 如图，已知在梯形ABCD 中，AB ∥CD ，12AB =，7CD =，点E 在边AD 上，23DE AE =，过点E 作EF ∥AB 交边BC 于点F .（1）求线段EF 的长；（2）设AB a =uu u r r ，AD b =uuu r r，联结AF ，请用向量a r 、b r 表示向量AF uuu r.21. 如图，已知在△ABC 中，90ACB ∠=︒，3sin 5B =，延长边BA 至点D ，使A D AC =，联结CD .（1）求D ∠的正切值；（2）取边AC 的中点E ，联结BE 并 延长交边CD 于点F ，求CFFD的值.22. 某校九年级数学兴趣小组的学生进行社会实践活动时，想利用所学的解直角三角形的知识测量教学楼的高度，他们先在点D 处用测角仪测得楼顶M 的仰角为30°，再沿DF 方向前进40米到达点E 处，在点E 处测得楼顶M 的仰角为45°，已知测角仪的高AD 为1.5米，请根据他们的测量数据求此楼MF 的高.（结果精确到0.1m 1.414≈ 1.732≈，2.449≈）23. 如图，已知在△ABC 中，AD 是△ABC 的中线，DAC B ∠=∠，点E 在边AD 上，CE CD =.（1）求证：AC BDAB AD=； （2）求证：22AC AE AD =⋅.23. 已知在平面直角坐标系xOy 中，抛物线224y mx mx =-+（0m ≠）与x 轴交于点A 、B （点A 在点B 的左侧），且6AB =.（1）求这条抛物线的对称轴及表达式；（2）在y 轴上取点(0,2)E ，点F 为第一象限内抛物线上一点，联结BF 、EF ，如果10OEFB S =四边形，求点F 的坐标；（3）在第（2）小题的条件下，点F 在抛物线对称轴右侧，点P 在x 轴上且在点B 左侧，如果直线PF 与y 轴的夹角等于EBF ∠，求点P 的坐标.25. 已知在菱形ABCD 中，4AB =，120BAD ∠=︒，点P 是直线AB 上任意一点，联结PC ，在PCD ∠内部作射线CQ 与对角线BD 交于点Q （与B 、D 不重合），且30PCQ ∠=︒. （1）如图，当点P 在边AB 上时，如果3BP =，求线段PC 的长；（2）当点P 在射线BA 上时，设BP x =，CQ y =，求y 关于x 的函数解析式及定义域； （3）联结PQ ，直线PQ 与直线BC 交于点E ，如果△QCE 与△BCP 相似，求线段BP 的长.崇明区2019学年第一学期教学质量调研测试卷（满分150分，完卷时间100分钟）考生注意：1．本试卷含三个大题，共25题．答题时，考生务必按答题要求在答题纸规定的位置上作答，在草稿纸、本试卷上答题一律无效．2．除第一、二大题外，其余各题如无特别说明，都必须在答题纸的相应位置上写出证明或计算的主要步骤．一、选择题（本大题共6题，每题4分，满分24分）1．下列各组图形一定相似的是（ ▲ ）(A) 两个菱形；(B) 两个矩形；(C) 两个直角梯形； (D) 两个正方形．2．在Rt ABC △中，90C =︒∠，如果8AC =，6BC =，那么B ∠的余切值为（ ▲ ）(A)34； (B)43； (C)35； (D)45．3．抛物线23(1)2y x =-++的顶点坐标是（ ▲ ） (A)(1,2)； (B)(1,2)-； (C)(1,2)-； (D)(1,2)--． 4．已知c 为非零向量，3a c =，2b c =-，那么下列结论中错误．．的是（ ▲ ） (A)a b ∥；(B)32a b =； (C)a 与b 方向相同； (D)a 与b 方向相反．5．如图，在55⨯正方形网格中，一条圆弧经过A 、B 、C 三点，那么这条圆弧所在圆的圆心是（ ▲ ） (A) 点P ；(B) 点Q ；(C) 点R ；(D) 点M ．6．如图，在ABC △中，点D 、E 分别在AB 和AC 边上且DE BC ∥，点M 为BC 边上一点（不与点B 、C 重合），联结AM 交DE 于点N ，下列比例式一定成立的是（ ▲ ） (A)AD ANAN AE=； (B)DN BMNE CM=； (C)DN AEBM EC=； (D)DN NEMC BM=．ADEBNCM(第6题图)ABC P Q · · · ···RM· (第5题图)二、填空题（本大题共12题，每题4分，满分48分）7．已知23x y =，那么x y x+= ▲ ． 8．已知线段8AB =cm ，点C 在线段AB 上，且2AC BC AB =⋅，那么线段AC 的长 ▲ cm ． 9．如果两个三角形相似，其中一个三角形的两个内角分别为50°和60°，那么另一个三角形的最大角为 ▲ 度．10．小杰沿坡比为1︰2.4的山坡向上走了130米．那么他沿着垂直方向升高了 ▲ 米． 11．在某一时刻，测得一根高为1.8米的竹竿影长为3米，同时同地测得一栋楼的影长为90米，那么这栋楼的高度为 ▲ 米．12．如果将抛物线221y x x =+-先向右平移2个单位，再向上平移3个单位，那么所得的新抛物线的顶点坐标为 ▲ ．13．如果二次函数2y ax bx c =++图像上部分点的横坐标x 与纵坐标y 的对应值如下表所示，那么它的图像与x 轴的另一个交点坐标是 ▲ ．14．一个正五边形的中心角的度数为 ▲ 度．15．两圆的半径之比为3︰1，当它们外切时，圆心距为4，那么当它们内切时，圆心距为 ▲ ． 16．如果梯形两底分别为4和6，高为2，那么两腰延长线的交点到这个梯形的较大底边的距离是 ▲ ．17．如图，在ABC △中，AC AB >，点D 在BC 上，且BD BA =，ABC ∠的平分线BE 交AD于点E ，点F 是AC 的中点，联结EF ．如果四边形DCFE 和BDE △的面积都为3，那么ABC △的面积为 ▲ ．18．如图，在Rt ABC △中，90C =︒∠，10AB =，8AC =，点D 是AC 的中点，点E 在边AB上，将ADE △沿DE 翻折，使得点A 落在点A '处，当A E AB '⊥时，那么A A '的长为 ▲ ．三、解答题（本大题共7题，满分78分）(第17题图)ABEFDCBAC·D(第18题图)19．（本题满分10分）计算：22cot 602tan30tan 60sin 452sin30︒+︒︒+-︒︒．20．（本题满分10分，第(1)小题5分，第(2)小题5分）如图，在梯形ABCD 中，AD BC ∥，2BC AD =，对角线AC 、BD 相交于点O ，设A D a =， AB b =．（1）试用a 、b 的式子表示向量AO ；（2）在图中作出向量DO 在a 、b 方向上的分向量，并写出结论．21．（本题满分10分，第(1)小题5分，第(2)小题5分）如图，AC 是O 的直径，弦BD AO ⊥于点E ，联结BC ，过点O 作OF BC ⊥于点F ，8BD =，2AE =．（1）求O 的半径； （2）求OF 的长度．(第21题图)ADOBC(第20题图)22．（本题满分10分，第(1)小题５分，第(2)小题５分）如图1为放置在水平桌面l 上的台灯，底座的高AB 为5cm ，长度均为20cm 的连杆BC 、 CD 与AB 始终在同一平面上．（1）转动连杆BC ，CD ，使BCD ∠成平角，150ABC =︒∠，如图2，求连杆端点D 离桌面l 的高度DE ．（2）将（1）中的连杆CD 再绕点C 逆时针旋转，经试验后发现，如图3，当150BCD =︒∠时台灯光线最佳．求此时连杆端点D 离桌面l 的高度比原来降低了多少厘米？23．（本题满分12分，第(1)小题6分，第(2)小题6分）如图，ABC △中，AD BC ⊥，E 是AD 边上一点，联结BE ，过点D 作DF BE ⊥，垂足为F ，且AE DF EF CD ⋅=⋅，联结AF 、CF ，CF 与边AD 交于点O ． 求证：（1）EAF DCF =∠∠；（2）AF BD AC DF ⋅=⋅．D·C·· B l· A(图3)·DC ··B l(图2)(图1)AEFOBCD(第23题图)(第22题图)24．（本题满分12分，第(1)小题4分，第(2)小题4分，第(3)小题4分）如图，抛物线与x 轴相交于点(3,0)A 、点(1,0)B ，与y 轴交于点(0,3)C ，点D 是抛物线上一动点，联结OD 交线段AC 于点E ．（1）求这条抛物线的解析式，并写出顶点坐标； （2）求ACB ∠的正切值；（3）当AOE △与ABC △相似时，求点D 的坐标．(第24题图)（备用图）25．（本题满分14分，第(1)小题4分，第(2)小题4分，第(3)小题6分）如图，在ABC △中，10AB AC ==，16BC =，点D 为BC 边上的一个动点（点D 不与点B 、点C 重合）．以D 为顶点作ADE B =∠∠，射线DE 交AC 边于点E ，过点A 作AF AD ⊥交射线DE 于点F ．（1）求证：AB CE BD CD ⋅=⋅； （2）当DF 平分ADC ∠时，求AE 的长； （3）当AEF △是等腰三角形时，求BD 的长．DBAFE C(第25题图)(备用图)奉贤区2020届初三一模数学试卷2020.01一. 选择题（本大题共6题，每题4分，共24分）1. 已知线段a 、b 、c ，如果::1:2:3a b c =，那么a bc b++的值是（ ）A. 13B. 23C. 35D. 532. 在Rt ABC V 中，90C ︒∠=，如果A ∠的正弦值是14，那么下列各式正确的是（ ）A. 4AB BC =B. 4AB AC =C. 4AC BC =D. 4BC AC =3. 已知点C 在线段AB 上，3AC BC =，如果AC a =uuu r r ，那么BA uu r 用a r表示正确的是（ ）A. 34a rB. 34a -rC. 43a rD. 43a -r4. 下列命题中，真命题是（ ）A. 邻边之比相等的两个平行四边形一定相似B. 邻边之比相等的两个矩形一定相似C. 对角线之比相等的两个平行四边形一定相似D. 对角线之比相等的两个矩形一定相似5. 已知抛物线2y ax bx c =++(0)a ≠上部分点的横坐标x 与纵坐标y 的对应值如下表：根据上表，下列判断正确的是（ ）A. 该抛物线开口向上B. 该抛物线的对称轴是直线1x =C. 该抛物线一定经过点15(1,)2--D. 该抛物线在对称轴左侧部分是下降的 6. 在ABC V 中，9AB =，212BC AC ==，点D 、E 分别在边AB 、AC 上，且DE ∥BC ，2AD BD =，以AD 为半径的D e 和以CE 为半径的E e 的位置关系是（ ）A. 外离B. 外切C. 相交D. 内含二. 填空题（本大题共12题，每题4分，共48分）7. 如果tan α=α的度数是8. 若a r 与单位向量e r 方向相反，且长度为3，则a =r （用单位向量e r 表示向量a r ）9. 若一条抛物线的顶点在y 轴上，则这条抛物线的表达式可以是 （只需写一个） 10. 如果二次函数2(1)y a x =-(0)a ≠的图像在它的对称轴右侧部分是上升的，那么a 的 取值范围是11. 抛物线22y x bx =++与y 轴交于点A ，如果点(2,2)B 和点A 关于该抛物线的对称轴 对称，那么b 的值是12. 已知ABC V 中，90C ︒∠=，3cos 4A =，6AC =，那么AB 的长是 13. 已知ABC V 中，点D 、E 分别在边AB 和AC 的反向延长线上，若13AD AB =，则当AEEC的值是 时，DE ∥BC14. 小明从山脚A 出发，沿坡度为1:2.4的斜坡前进了130米到达B 点，那么他所在的位置 比原来的位置升高了 米15. 如图，将ABC V 沿BC 边上的中线AD 平移到A B C '''V 的位置，如果点A '恰好是ABC V 的重心，A B ''、A C ''分别于BC 交于点M 、N ，那么A MN 'V 的面积与ABC V 的面积之比是16. 公元263年左右，我国数学家刘徽发现当正多边形的边数无限增加时，这个正多边形面积可无限接近它的外接圆的面积，因此可以用正多边形的面积来近似估计圆的面积，如图，O e 是正十二边形的外接圆，设正十二边形的半径OA 的长为1，如果用它的面积来近似估计O e 的面积，那么O e 的面积约是17. 如果矩形一边的两个端点与它对边上的一点所构成的角是直角，那么我们就把这个点叫做矩形的“直角点”，如图，如果E 是矩形ABCD 的一个“直角点”，且3CD EC =，那么:AD AB 的值是18. 如图，已知矩形ABCD ()AB CD >，将矩形ABCD 绕点B 顺时针旋转90°，点A 、D 分别落在点E 、F 处，连接DF ，如果点G 是DF 的中点，那么BEG ∠的正切值是三. 解答题（本大题共7题，共10+10+10+10+12+12+14=78分）19. 已知函数(1)(3)y x x =---.（1）指出这个函数图像的开口方向、顶点坐标和它的变化情况；（2）选取适当的数据填入下表，并在如图所示的直角坐标系内描点，画出该函数的图像.20. 如图，在梯形ABCD 中，AB ∥CD ，90ABC ︒∠=，45BAD ︒∠=，2DC =，6AB =， AE ⊥BD ，垂足为点F .（1）求∠DAE 的余弦值；（2）设DC a =uuu r r ，BC b =uu u r r ，用向量a r 、b r 表示AE uu u r.21. 如图，已知AB 是O e 的直径，C 是O e 上一点，CD ⊥AB ，垂足为点D ，E 是»BC的中点，OE 与弦BC 交于点F .（1）如果C 是AE 的中点，求:AD DB 的值；（2）如果O e 的直径6AB =，:1:2FO EF =，求CD 的长.22. 如图是一把落地的遮阳伞的侧面示意图，伞柄CD 垂直于水平地面GQ ，当点P 与点A 重合时，伞收紧；当点P 由点A 向点B 移动时，伞慢慢撑开；当点P 与点B 重合时，伞完全张开. 已知遮阳伞的高度CD 是220厘米，在它撑开的过程中，总有PM PN CM ===50CN =厘米，120CE CF ==厘米，20BC =厘米.（1）当53CPN ︒∠=，求BP 的长？（2）如图，当伞完全张开时，求点E 到地面GQ 的距离. （参考数据：sin530.8︒≈，cos530.6︒≈，tan53 1.3︒≈）23. 如图，在平行四边形ABCD 中，点E 在边AD 上，点F 在边CB 的延长线上，联结CE 、EF ，2CE DE CF =⋅.（1）求证：D CEF ∠=∠；（2）联结AC ，交EF 于点G ，如果AC 平分∠ECF ， 求证：AC AE CB CG ⋅=⋅ .24. 如图，在平面直角坐标系xOy 中，抛物线2y x bx c =++经过点(2,3)A -和点(5,0)B ， 顶点为C .（1）求这条抛物线的表达式和顶点C 的坐标；（2）点A 关于抛物线对称轴的对应点为点D ，联结OD 、BD ，求∠ODB 的正切值； （3）将抛物线2y x bx c =++向上平移t （0t >）个单位，使顶点C 落在点E 处，点B 落在点F 处，如果BE BF =，求t 的值.25. 如图，已知平行四边形ABCD 中，AD =5AB =，tan 2A =，点E 在射线AD 上，过点E 作EF ⊥AD ，垂足为点E ，交射线AB 于点F ，交射线CB 于点G ，联结CE 、CF ，设A E m =.（1）当点E 在边AD 上时，① 求CEF V 的面积；（用含m 的代数式表示） ② 当4DCE BFG S S V V 时，求:AE ED 的值；（2）当点E 在边AD 的延长线上时，如果AEF V 与CFG V 相似，求m 的值.虹口区2019学年度第一学期期终学生学习能力诊断测试初三数学试卷（满分150分，考试时间100分钟） 2020.1考生注意：1．本试卷含三个大题，共25题；2．答题时，考生务必按答题要求在答题纸规定的位置上作答，在草稿纸、本试卷上答题一律无效；3．除第一、二大题外，其余各题如无特别说明，都必须在答题纸的相应位置上写出证明或计算的主要步骤．一、选择题（本大题共6题，每题4分，满分24分）[下列各题的四个选项中，有且只有一个选项是正确的，选择正确项的代号并填涂在答题纸的相应位置上．]1．如果1cos =2α ，那么锐角α的度数为A ．30°；B ．45°；C ．60°；D ．90°．2．在Rt △ABC 中，∠C =90°，如果BC =2，tan B =2，那么AC 长为 A ．1；B ．4； CD．．3．抛物线23(1)+1y x =+的顶点所在象限是 A ．第一象限；B ．第二象限；C ．第三象限；D . 第四象限．4．已知抛物线2y x =经过1(2,)A y - 、2(1,)B y 两点，在下列关系式中，正确的是A ．120y y >>；B ．210y y >>；C ．120y y >>；D ．210y y >>．5．已知b a 、和c都是非零向量，在下列选项中，不能．．判定a ∥b 的是A ．=a b ；B ．a ∥c ，b ∥c ；C ．+0a b =；D ．+2a b c =，3a b c -=．6．如图1，点D 是△ABC 的边BC 上一点，∠BAD=∠C ，AC =2AD ，如果△ACD 的面积为15，那么△ABD 的面积为 A ．；B ．；C ．7.5；D ．5．二、填空题（本大题共12题，每题4分，满分48分）CAABD图1[请将结果直接填入答题纸的相应位置]7．如果:2:3a b =，且+10a b =，那么a 的值为 ▲ ．8．如果向量a r 、b r 、x r 满足关系式23(+)0b a x -=r r r r，那么用向量a r 、b r 表示向量x r = ▲ ．9．如果抛物线1)1(2+-=x a y 的开口向下，那么a 的取值范围是 ▲ ．10．沿着x 轴正方向看，抛物线2(1)y x =--在对称轴 ▲ 侧的部分是下降的（填“左”或“右”）． 11．如果函数21)2mmy m x -=++（是二次函数，那么m 的值为 ▲ ．12．如图2，抛物线的对称轴为直线 1x =，点P 、Q 是抛物线与x 轴的两个交点，点P 在点Q 的右侧，如果点P 的坐标为 （4，0），那么点Q 的坐标为 ▲ ．13．如图3，点A （2，m ）在第一象限，OA 与x 轴所夹的锐角为α ，如果tan 3=2α，那么m 的值为 ▲ ．14．已知△ABC ∽△A 1B 1C 1，顶点A 、B 、C 分别与A 1、B 1、C 1对应，AC =12，A 1C 1=8，△ABC的高AD 为6，那么△A 1B 1C 1的高A 1D 1长为 ▲ ．15．如图4，在梯形AEFB 中，AB ∥EF ，AB =6，EF =10，点C 、D 分别在边AE 、BF 上且CD ∥AB ，如果AC=3CE ，那么CD 长为 ▲ ．16．公元三世纪，我国汉代数学家赵爽在注解《周髀算经》时给出的“赵爽弦图”（如图5），它是由四个全等的直角三角形与中间的小正方形拼成的一个大正方形．如果小正方形面积是49，直角三角形中较小锐角θ的正切为512，那么大正方形的面积是 ▲ ．17．如图6，在Rt △ABC 中，∠C =90°，AC =1，BC =2，点D 为边AB 上一动点，正方形 DEFG的顶点E 、F 都在边BC 上，联结BG ，tan ∠DGB 的值为 ▲ ． 18．如图7，在等腰梯形ABCD 中，AD ∥BC ，sin C =45，AB=9，AD =6，点E 、F 分别在边AB 、BC 上，联结EF ，将△BEF 沿着EF 翻折，使BF 的对应线段B’F 经过顶点A ，B’F 交对角线BD 于点P ，当B’F ⊥AB 时，AP 的长为 ▲ ．图6DABE C FG BC AD 图4EFA C图7ABD图5θ三、解答题（本大题共7题，满分78分）19．（本题满分10分）计算：24sin 30tan 60cot 30tan 45︒-︒︒-︒．20．（本题满分10分，第（1）小题满分6分，第（2）小题满分4分）在平面直角坐标系xOy 中，将抛物线C 1：22y x x =-向左平移2个单位，向下平移3 个单位得到新抛物线C 2．（1）求新抛物线C 2的表达式；（2）如图8，将△OAB 沿x 轴向左平移得到△O’A’B’，点A （0，5）的对应点A’ 落在平 移后的新抛物线C 2上，求点B 与其对应点B’的距离．21．（本题满分10分，第（1）小题满分6分，第（2）小题满分4分）如图9，在Rt △ABC 中，∠ABC=90°，点G 是Rt △ABC 的重心，联结BG 并延长交AC 于点D ，过点G 作GE ⊥BC 交边BC 于点E ．（1）如果AC a =，AB b =，用a 、b 表示向量BG ；（2）当AB=12时，求GE 的长．图8 图9 A B E C G D图1022．（本题满分10分）某次台风来袭时，一棵笔直大树树干AB （假定树干AB 垂直于水平地面）被刮倾斜7° （即∠BAB ’ =7°）后折断倒在地上，树的顶部恰好接触到地面D 处（如图10所示），测得∠CDA 为37°，AD 为5米，求这棵大树AB 的高度．（结果保留根号）（参考数据：sin370.6︒≈ ，cos370.8︒≈，tan370.75︒≈）23．（本题满分12分，第（1）小题满分6分，第（2）小题满分6分）如图11，在Rt △ABC 中，∠ACB =90°，点D 是边BC 的中点，联结AD ，过点C 作 CE ⊥AD 于点E ，联结BE ．（1）求证：2BD DE AD =⋅；（2）如果∠ABC =∠DCE ，求证：BD CE BE DE ⋅=⋅．D 图11 AE C B24．（本题满分12分，第（1）小题满分4分，第（2）小题满分8分）如图12，在平面直角坐标系xOy 中，抛物线2y x bx c =-++与x 轴交于A （-1，0）、B 两点，与y 轴交于点C （0，3），点P在抛物线的对称轴上，且纵坐标为 （1）求抛物线的表达式以及点P 的坐标； （2） 当三角形中一个内角α是另一个内角β的两倍时，我们称α为此三角形的“特征角”． ①点D 在射线AP 上，如果∠DAB 为△ABD 的特征角，求点D 的坐标；②点E 为第一象限内抛物线上一点，点F 在x 轴上，CE ⊥EF ，如果∠CEF 为△ECF 的特征角，求点E 的坐标．25．（本题满分14分，第（1）小题满分4分，第（2）小题满分6分，第（3）小题满分4分）在Rt △ABC 中，∠ACB =90°，BC =4，sin ∠ABC =35，点D 为射线BC 上一点，联结AD ，过点B 作BE ⊥AD 分别交射线AD 、AC 于点E 、F ，联结DF ．过点A 作AG ∥BD ，交直线BE 于点G ．（1）当点D 在BC 的延长线上时（如图13），如果CD =2，求tan ∠FBC ； （2）当点D 在BC 的延长线上时（如图13），设AG x =，ADF S y =，求y 关于x 的函数 关系式（不写函数的定义域）；（3）如果AG =8，求DE 的长．图13EA BCF DG 备用图ABC图1黄浦区2019学年度第一学期九年级期终调研测试2020年1月（满分150分，考试时间100分钟）考生注意：1．本试卷含三个大题，共25题；2．答题时，考生务必按答题要求在答题纸规定的位置上作答，在草稿纸、本试卷上答题一律无效； 3．除第一、二大题外，其余各题如无特别说明，都必须在答题纸的相应位置写出证明或计算的主要步骤.一、选择题：（本大题共6题，每题4分，满分24分）【下列各题的四个选项中，有且只有一个是正确的，选择正确项的代号并填涂在答题纸的相应位置上.】1．已知线段2a =，4b =，如果线段b 是线段a 和c 的比例中项，那么线段c 的长度是（ ▲ ）． （A ）8；（B ）6；（C）（D ） 2．2．在Rt △ABC 中，90C ∠=o ，如果∠A =α，AB m =，那么线段AC 的长可表示为（ ▲ ）． （A ）sin m α⋅；（B ）cos m α⋅；（C ）tan m α⋅；（D ）cot m α⋅．3．已知一个单位向量e v ，设a v 、b v是非零向量，那么下列等式中正确的是（ ▲ ）．（A ）1a e a=r rr ；（B ）e a a =r r r ； （C ）b e b =r r r；（D ）11a b a b=r r r r ．4．已知二次函数2x y =，如果将它的图像向左平移1个单位，再向下平移2个单位，那么所得图像的表达式是（ ▲ ）． （A ）2(1)2y x =++； （B ）2(1)2y x =+-； （C ）2(1)2y x =-+；（D ）2(1)2y x =--．5．在△ABC 与△DEF 中，60A D ∠=∠=o ，AB AC DFDE=，如果∠B =50°，那么∠E 的度数是（ ▲ ）． （A ）50°；（B ）60°； （C ）70°；（D ）80°．6．如图1，点D 、E 分别在△ABC 的两边BA 、CA 的延长线上，下列条件能判定ED ∥BC 的是（ ▲ ）．（A ）AD DEAB BC=； （B ）AD AEAC AB=； （C ）AD AB DE BC ⋅=⋅；（D ）AD AC AB AE ⋅=⋅．二、填空题：（本大题共12题，每题4分，满分48分）7．计算：2(32)(2)b a a b -+-v v v v= ▲ ．8．如图2，在△ABC 中，点D 、E 分别在△ABC 的两边AB 、AC 上，且DE ∥BC ，如果5AE =，3EC =，4DE =，那么线段BC 的长是 ▲ ．图2 图3 图4 图59．如图3，已知AD ∥BE ∥CF ，它们依次交直线1l 、2l 于点A 、B 、C 和点D 、E 、F ．如果23AB BC =，DF =15，那么线段DE 的长是 ▲ ．10．如果点P 是线段AB 的黄金分割点（AP >BP ），那么BPAP的值是 ▲ ． 11．写出一个对称轴是直线1x =，且经过原点的抛物线的表达式 ▲ ．12．如图4，在Rt △ABC 中，90ABC ∠=o ，BD ⊥AC ，垂足为点D ，如果4BC =，2sin 3DBC ∠=，那么线段AB 的长是 ▲ ．13．如果等腰△ABC 中，3AB AC ==，1cos 3B ∠=，那么cos A ∠= ▲ ．14．如图5，在△ABC 中，BC =12，BC 上的高AH =8，矩形DEFG 的边EF 在边BC 上，顶点D 、G 分别在边AB 、AC 上．设DE x =，矩形DEFG 的面积为y ，那么y 关于x 的函数关系式是 ▲ ． （不需写出x 的取值范围）．15．如图6，将一个装有水的杯子倾斜放置在水平的桌面上，其截面可看作一个宽BC =6厘米，长CD =16厘米的矩形．当水面触到杯口边缘时，边CD 恰有一半露出水面，那么此时水面高度是 ▲ 厘米．16．在△ABC 中， AB =12，AC =9，点D 、E 分别在边AB 、AC 上，且△ADE 与△ABC 与相似，如果AE =6，那么线段AD 的长是 ▲ ．17．如图7，在△ABC 中，中线BF 、CE 交于点G ，且CE ⊥BF ，如果5AG =，6BF =，那么线段CE的长是 ▲ ．18．如图8，在△ABC 中，AB =AC ，点D 、E 在边BC 上，∠DAE =∠B =30°，且32AD AE =，那么DEBC 的值是 ▲ ．B桌面图6B 图7。

2019届上海各区初三英语一模试卷题型分类专题汇编--语法选择--学生版(纯净word已校对终结版)

2019届上海各区初三英语一模试卷题型分类专题汇编--语法选择--学生版(纯净word已校对终结版)

Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）II.Choose the best answer（选择最恰当的答案）（共20分）26. Which is the following underlined parts is different in pronunciation?A. againstB. abilityC. allowD. attitude27. Fortunately, I don’t need to buy any ______ tonight because there is still a little in the fridge.A. juiceB. tomatoC. grapeD. pineapple28. France won the World Cup for ______ second time with a 4-2 victory last July.A. aB. anC. theD. /29. Mrs. Zhu teaches ______ Chinese, and we all like her lessons so much.A. weB. usC. ourD. ourselves30. It was said that something terrible happened here _____ the snowy winter.A. onB. atC. inD. by31. Room Escape(密室逃脱) games are becoming more and more popular _____ young people.A. aboutB. withC. fromD. until32. The students ran to the playground as ______ as they could to greet the famous sportsman.A. fastB. fasterC. fastestD. the fastest33. Marie’s mum looks young and beautiful. It’s hard to imagine she is already in her _____.A. fortiesB. fortyC. fortiethD. fortieths34. The teacher held a book in one hand and his notes in ______.A. otherB. anotherC. the otherD. others35. We ______ protect our privacy(隐私) and prevent the release of our personal information.A. needB. canC. mayD. must36. Stop _____ about the food safety. Just think about what we can do to improve it.A. complainB. to complainC. complainingD. complained37. Dying to Survive(《我不是药神》) ______ great success since it was released in July, 2018.A. achievedB. has achievedC. achievesD. will achieve38. Hongkou football stadium _____ soon to become a“football and sports landmark”in Shanghai.A. will be rebuiltB. was rebuiltC. will rebuildD. rebuilt39. By the end of last week, all of us ______ the homework about Chinese geography.A. finishedB. have finishedC. would finishD. had finished40. ---______ are you able to type the English words?---About forty to fifty words a minute.A. How oftenB. How fastC. How longD. How far41. Not only my parents but also I _____ a big fan of Beijing Opera.A. amB. areC. isD. be42. You will gain weight ______ you reduce the amount you eat.A. ifB. sinceC. butD. unless43. ______ beautiful the riverside areas along the Huangpu River are at night!A. WhatB. What aC. HowD. How a44. --I don’t know how to search for the right information.--______. I’ll help you.A. I hope soB. Neither do IC. I’m afraid, tooD. Don’t worry45. --you’d better go to see the doctor.--_______.A. That’s all rightB. Yes, I willC. Yes, you canD. I’m glad you like itPart 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）II.Choose the best answer（选择最恰当的答案）（共20分）26. Which of the following underlined parts is different in pronunciation from the others?A. Let’s relax ourselves for a while.B. Can you tell me your address?C. Go to the website to get pictures.D. Shall we have seven apples?27. People should drive at less than 40 kilometres ________ hour on this road.A. aB. anC. theD. /28. Happy New Year, Christina. Here’s a gift ________ you.A. inB. fromC. forD. with29. At present more and more students choose online courses and study by ________.A. theyB. themC. theirD. themselves30. In 2022, Beijing will host the Winter Olympics. ________ my brother and I want to watch it.A. NeitherB. AllC. EitherD. Both31. Now the air in Shanghai is ________ than it used to be. Something has been done to improve it.A. goodB. betterC. bestD. the best32. The joke was so funny that it made Kitty ________ again and again.A. laughB. to laughC. laughingD. laughs33. I enjoy _______ about great people’s lives because I always learn a lot of them and they encourage me to march on.A. readB. to readC. readingD. reads34. --What would you like to have for supper?--Either noodles or rice ________ OK. I don’t mind.A. beB. amC. isD. are35. When you are travelling, bring a map because it ________ help you.A. shouldB. mayC. mustD. need36. The manager sounded ________ on the phone. He offered to show us around the company.A. softlyB. gentlyC. seriouslyD. friendly37. Before the sun ________, we need to get to the top of the mountain.A. setsB. setC. is settingD. will set38. I first met Julia three years ago when we ________ at a radio station together.A. have workedB. are workingC. were workingD. had worked39. The China International Import Expo _______ new business opportunities for many countries recently.A. has providedB. had providedC. would provideD. was providing40. When you’re learning English, use it, ________ you’ll lose it.A. andB. butC. soD. or41. Uncle Zhang gave all his savings to poor children ________ he was not rich.A. becauseB. thoughC. ifD. when42. ________ lucky the winner of the game show is! A eleven-day trip abroad for free!A. HowB. WhatC. What aD. What an43.--Nancy, I really don’t know how to write articles.--Don’t worry. ________ a mind map to organize your idea first.A. UsedB. To useC. UsingD. Use44. --Hello, Sally! Can I see Mr. Brown?--________ I’ll tell him you are here.A. What a pityB. Just a minuteC. CongratulationsD. Never mind45. --It’s said that shopping online is safe.-- ________ You’d better be careful.A. I agreeB. I think soC. That dependsD. No problemPart 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）II.Choose the best answer（选择最恰当的答案）（共20分）26. Which of the following underlined parts is different in pronunciation from the others?A. salaryB. trafficC. cancelD. bakery27. The first China International Import Expo was _________ attractive event in Shanghai.A. aB. anC. theD. /28. The wildfire in California destroyed more than 12,000 homes _________ November, 2008.A. inB. onC. atD. to29. Peter’s wife was extremely angry _________ him because he told a lie to her.A. forB. toC. withD. about30. The latest Guinness Book of World Record includes _________ new and updated records.A. thousandB. thousandsC. thousand ofD. thousands of31. Nowadays many people like to take selfies and show _________ photos through WeChat.A. theyB. theirsC. theirD. them32. We have tried several ways to solve the problem, but _________ of them works.A. bothB. allC. goodD. best33. The chicken soup smells so _________ that my mouth is watering.A. hotB. wellC. goodD. best34. Passengers prefer a high-speed train because it travel much _________ than an ordinary train.A. quicklyB. quickC. more quicklyD. quicker35. Practice more, _________ you will fail to pass the writing grade exam again.A. soB. orC. andD. but36. According to the new traffic rules, kids under 12 _________ sit in the front passenger seat of a car.A. mustn’tB. can’tC. shouldn’tD. needn’t37. Mr. Wang _________ a volunteer for our community since he came into our neighborhood.A. wasB. has beenC. had beenD. will be38. Tim _________ chess with his uncle happily when I saw him in the garden.A. is playingB. playedC. was playingD. has played39. Mum promised that she _________ a new computer for me if I learnt computer programming.A. buysB. will buyC. boughtD. would buy40. The newly-built underground line enables people there _________ the islands in less than an hour.A. to reachB. reachedC. reachD. reaching41. The police had got many clues, but the thief still denied _________ the woman’s purse.A. stealB. stolenC. to stealD. stealing42. Jenny won’t be allowed to enter the theatre _________ she has a ticket.A. ifB. sinceC. unlessD. although43. _________helpful it is to develop a good study habit in our daily life!A. WhatB. What aC. What anD. How44. ---Would you mind my opening the window?---- _________.A. Yes, I wouldB. I’m afraid it’s too windyC. Yes. Please go aheadD. Sure. I’m going to close it soon.45. --- _________, Henry? You look upset.---I lost my student’s card when I was jogging this morning.A. What are you doingB. Where have you beenC. What’s the matter with youD. How about a party for youPart 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）II.Choose the best answer（选择最恰当的答案）（共20分）26. Which of the following words is pronounced as /gəʊl/?A. goldB. goodC. goatD. goal27. In the past, desktop computers were _______ same size as televisions.A. aB. anC. theD. /28. People should drive more carefully on the road _______ a snowy day.A. onB. inC. atD. by29. I’ve got everything ready for the big dinner now, except for some _______.A. eggB. fishC. tomatoD. apple30. “Don’t be angry _______ me. I didn’t do it on purpose.” Jim said to his father.A. withB. atC. aboutD. on31. The heavy fog made the tourists have to stay in the hotel for _______ two days.A. otherB. othersC. anotherD. the other32. The man hurried to the railway station, _______ it was too late. The train had just left.A. orB. butC. soD. for33. The wolves killed two-thirds of the sheep in that area and the rest _______ rescued in time.A. isB. areC. wasD. were34. The waiters in that restaurant are always _______ and many people are willing to go there.A. friendlyB. kindlyC. wonderfullyD. politely35. -- _______ did China International Import Expo last over a month ago?--From the 5th of November to the 10th.A. WhenB. What timeC. How soonD. How long36. Lily has been in England for a couple of years, but she still _______ speak English very well.A. needn’tB. shouldn’tC. can’tD. mustn’t37. Please walk as _______ as possible because students are having a test right now.A. quietlyB. more quietlyC. most quietlyD. the most quietly38. You are not allowed to attend the concert _______ you have a ticket for it.A. ifB. becauseC. sinceD. unless39. Two more new classroom buildings _______ in our school next year.A. will be builtB. were builtC. are builtD. have been built40. Tom wants to try climbing the mountain again even though he _______ twice already.A. failedB. has failedC. failsD. had failed41. They’d better _______ eat or talk loudly in the reading room. It’s not allowed.A. don’tB. notC. not toD. to not42. When I _______ my pet dog along the road, I thought of a new way to clean up the mess.A. am walkingB. walkC. was walkingD. have walked43. _______ good habit it is to ride in the countryside for half an hour every weekend!A. WhatB. What aC. What anD. How44.--I think Rose will possibly work in a bakery in the future. She likes sweet cakes so much.--_______ She will possibly be a secretary. She enjoys making arrangement more than anything else.A. All right.B. No, you are wrong.C. I think so, too.D. I don’t agree.45. -- _______.--It’s very kind of you.A. Shall we have something to drink?B. My smart phone went wrong, can you help me?C. Would you like me to get you some DVDs?D. Could you tell me how to improve my memory?Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）II.Choose the best answer（选择最恰当的答案）（共20分）26. Which of the following underlined parts is different in pronunciation?A. teamB. pleasantC. repeatD. meaning27. Don’t worry! The government will look after ________ homeless in freezing days.A. aB. anC. theD. /28. As the winter holidays are coming, let’s spread ________ wings to travel around the world.A. ourselvesB. usC. ourD. ours29. The first China International Import Expo was held ________ November, 2018 in Shanghai.A. inB. onC. atD. of30. Mike recently got a package, ________ he didn’t remember buying anything.A. soB. orC. forD. but31. Some caves can only be visited by boat while ________ are for expert swimmers and divers.A. otherB. othersC. anotherD. the others32. Rowan was listed in the top 50 ________ people ever by a group of comedians.A. funnyB. funnierC. funniestD. the funniest33. The 7-year-old boy is fond ________ making model planes.A. onB. ofC. inD. with34. --Is Mary at home now?--Sorry, she ________ shopping to buy a birthday gift for her mother.A. just wentB. would just goC. was just goingD. has just gone35. Nowadays young people enjoy ________ what they do on social media.A. postB. postedC. to postD. posting36. In recent years different ways ________ to recycle the plastic wastes.A. triedB. were triedC. have triedD. have been tried37. With smart technology, we ________ use voice to control lights and TV in this room.A. canB. mustC. shouldD. need38. ________ there is danger on the internet, online insurance is still popular among the young.A. UnlessB. ThoughC. SinceD. Until39. The cakes on the brochure look ________ and everyone wants to have a try.A. lovelyB. beautifullyC. nicelyD. wonderfully40. --I called you at four p.m. yesterday, but you were not at home.--Oh, I ________ a yoga class in the gym.A. hadB. was havingC. has hadD. am having41. You’d better ________ the names of the applicants before we vote.A. listB. listedC. listingD. to list42. ________ upset the scientist was about the result of the experiment!A. WhatB. What aC. What anD. How43. The new test enables doctors ________ the disease early enough to treat the patient.A. findB. foundC. to findD. finding44. --Excuse me, may I ask you a few questions?--________.A. Sure, go aheadB. You are welcomeC. Thank you very muchD. Not at all45. --________--It’s very kind of you.A. Can I put my suitcase here?B. What about listening to some music?C. May I carry the luggage for you?D. Do you mind opening the window?Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）II.Choose the best answer（选择最恰当的答案）（共20分）26. Which of the following underlined parts is different in pronunciation?A. operateB. contactC. discoverD. responsibility27. During the Golden Week, Alice and her friends had _________ good time in China.A. aB. anC. theD. /28. The actress looked at _________ in the mirror and put on the make-up.A. sheB. herC. hersD. herself29. Jimmy and his parents visited us _________ a cold night last winter.A. atB.inC. ofD. on30. Alibaba CEO Jack Ma has decided to retire from his company in his _________.A. fiftyB. fiftiesC. fiftiethD. fiftieths31. Both of them are still working hard to solve the case _________ the time being.A. withB. ofC. forD. to32. I’m afraid that we need _________ six cups for tomorrow’s dinner party.A. anotherB. otherC. othersD. the other33. Many people think China is one of _________ countries in the world.A. safeB. safestC. the safestD. safer34. Mike, don’t be afraid to make mistakes, _________ you’ll never make progress.A. soB. orC. andD. but35. Nowadays, people _________ pay for things conveniently with their mobile phones.A. mustB. needC. canD. should36.The song sung by the famous singer sounds so ___________ and I love it very much.A. wellB. sadlyC. sweetD. bad37. The old man still coughs a lot _________ he has taken some medicine.A. althoughB. unlessC. becauseD. when38. My grandma _________ all my photographs and toys since I was born in 2004.A. keptB. has keptC. had keptD. will keep39. Shanghai ________ the first China International Import Expo from November 5,2018 to November 10, 2008.A. will holdB. holdsC. has heldD. held40. The thief _________ on the scene when he was trying to escape from the shop.A. caughtB. was caughtC. had caughtD. had been caught41. Mr. Jones expected the insurance company __________ him $ 300,000 for the vase.A. to payB. payC. paidD. paying42. The taxi driver denied __________ the woman at first when asked by the policeman.A. killB. killingC. to killD. to killing43. __________excited I felt when I was watching the flag-raising ceremony!A. WhatB. What aC. What anD. How44. --I don’t think keeping pet dogs is a good idea. Dogs create a lot of mess.--__________ It can help us become more responsible.A. I’ll take your adviceB. That’s a good ideaC. I don’t agree with youD. You are welcome45.--__________.-- Oh, I’m sorry to hear it.A. My brother has been accepted by a key university.B. Would you mind looking after my pet dog when I’m away on holiday?C. We should be more independent and try to do everything by ourselves.D. Mike’s hurt in an accident and has to stay in hospital for two weeks.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）II.Choose the best answer（选择最恰当的答案）（共20分）26. Which of the following underlined parts is different in pronunciation?A. PieceB. believeC. pieD. achieve27. Computers may be able to do most things that_______ human brain can do and do them better.A. aB. anC. theD. /28. I’m terribly sorry, but I’ve forgotten to bring the ticket with _______.A. IB. myC. meD. mine29. Every year _______ November, people from all over the city come to Hangzhou to enjoy golden autumn.A. inB. atC. onD. during30. As parents, paying too _______ attention to your child can be a bad thing.A. manyB. muchC. littleD. few31. Now I know your decision. Please ask _______ in your class about their ideas.A. anotherB. the otherC. othersD. the others32. I’m sure Janet is able to fine the school by herself because she has a pretty good _______ of direction.A. ideaB. feelingC. chanceD. sense33. On such snowy days, drivers must drive as _______ as possible.A. more carefullyB. carefulC. carefullyD. more careful34. I think the film“Spider man”is _______ animated cartoon of all the films I’ve ever seen.A. More attractiveB. most attractiveC. the more attractiveD. the most attractive35. Mum, put on your glasses, _______ you won’t see the notice clearly.A. thenB. andC. butD. or36. ________ several accidents happened to some schools, all of the school’s outdoor activities have been stopped.A. UnlessB. IfC. WhenD. Since37. After graduation, many of the students will ________ different kinds of training.A. doB. takeC. acceptD. make38. The news said there ________ a wonderful concert in Shanghai Stadium this month.A. wasB. will beC. had beenD. would be39. Nowadays, you really require a lot of talent and hard work ________ success.A. achievingB. to achieveC. achieveD. achieved40. Tom has admitted ________ in the English test and promised not to do it again. Actually, he deserves another chance.A. cheatB. cheatingC. to cheatD. cheated41. She was a little nervous when the last night in the building ________.A. turned outB. came outC. went outD. took out42. Make pizza with the micro-wave oven proves to be effective. ________ excellent way!A. WhatB. What aC. What anD. How43. Before you go abroad, download a map APP, because it ________ help you.A. mustB. mayC. needD. shall44. --You look upset, ________?--I am late again. By the time I got up, my brother had already got in the shower.A. What’s happenedB. What should you doC. Are you sureD. Have you made mistakes45. -- How about going to Water World now?--________.A. Sure, but I’m getting hungryB. That’s a good ideaC. You’re welcomeD. I’ll take your advicePart 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）II.Choose the best answer（选择最恰当的答案）（共20分）26. Which of the following underlined parts is different in pronunciation?A) joke B) knowledge C) apologize D) operate27. I’ve bought some tea from the Family Mart. Some is black tea, and _______ rest is white tea.A) a B) an C) the D) /28) It’s important to care_________ your children when you take them out.A) of B) for C) from D) with29) May I use your desktop? _______ doesn’t work.A) I B) Me C) My D) Mine30) I can hardly understand the story although there are only _______ new words.A) little B) few C) a little D) a few31. Could you give me some _______ on how to keep pets?A) skill B) note C) book D) advice32. The total number of the citizens in the city has increased to over four _______ this year.A) million B) millions C) a million D) millions of33. Having milk for breakfast can help us feel _______ later in the day. So you don’t need any snacks.A) hungry B) hungrier C) less hungry D) the hungriest34. The company is losing its customers because the staff never work_______.A) good B) well C) bad D) badly35. ________ exciting it is to watch the World Cup Opening Ceremony!A) What B) How C) What an D) What a36.-- _______ is Shanghai Tower?-- It’s 632 metres.A) How tall B) How big C) How long D) How far37. Jill _______ ill for two weeks. I hope he’ll better soon.A) is B) was C) will be D) has been38. As a soldier, Johnson had no choice but _______his captain’s orders.A) obey B) to obey C) obeyed D) obeying39. The lady denied _______ a precious necklace from a stranger on her birthday.A) get B) got C) getting D) to get40. --Must I have online classes, Dad?--No, you _______. You’re free to make your own decision.A. can’t B) mustn’t C) shouldn’t D) needn’t41. I’m glad that a new school _______ here in two years.A) is built B) was built C) will be built D) has been built42.You’d better ask someone else to repair your car, _______ it may break down on the way.A) or B) but C) and D) so43. The suspect would go to prison ______ he could prove(证明) he was innocent.A) if B) when C) after D) unless44. ---Hello, Frank. You look busy. Anything I can do to help?---________.A) No problem B) Oh, thanks. I’m OK.C) I’m sorry I can’t D) I’m not quite sure.45. --Sorry I’m late, Miss Chen, but my mum is ill and I have to look after her.--________.A) You deserve it. B) Yes, of course.C) That’s all right. D) You can say that again.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）II.Choose the best answer（选择最恰当的答案）（共20分）26. Which of the following words is pronounced [plænit].A) planet B) plate C) plane D) plant27. “Please be quiet. The school art festival will start in_______ minute.” the host said.A) a B) an C) the D) /28. Peter will go on a trip with his family _______ the end of this year.A) on B) at C) to D) in29. The first China International Import(进口) Expo was held in Shanghai _______ November, 2018.A) in B) at C) on D) by30. This yellow schoolbag on the table is Tony’s _______ is a dark brown one over there.A) I B) Me C) My D) Mine31. Jack was very disappointed because _______ in is family remembered his birthday.A) somebody B) everybody C) anybody D) nobody32. --_______ did it take you to drive to the city center from the island?--One hour and a half.A) How far B) How long C) How many D) How soon33. The twins ______ fond of doing volunteering work in their community.A) am B) is C) are D) be34. Mr. Black is looking for the concert tickets. He ______ remember where he’s put them.A) shouldn’t B) mustn’t C) Needn’t D) Can’t35. The tunnel that connect the island to Pudong is _______ one in Shanghai.A) long B) longer C) longest D) the longest36. The apples there look good. ______ they taste terrible. Let’s look elsewhere before buying.A) but B) for C) or D) so37. _______ she was only twenty-two, she was already a highly successful businesswoman.A) Though B) Because C) Since D) If38. Look! So many people took part in the race. ______ exciting event it was!A) How B) What C) What a D) What an39. Teresa ______ many postcards to her British friends during her stay in China in 2018.A) send B) sends C) sent D) will send40. It suddenly began to rain when the students ______ a picnic in the park.A) are having B) were having C) have D) would have41. I can’t believe this is Susan. She _______ so much since I saw her months ago.A) change B) changes C) has changed D) will change42. It’s terribly hot in this room. Would you mind ______ the window a bit more?A) open B) opening C) to open D) to opening43. Parents should often encourage their children ______ more books in their free time.A) read B) reading C) to read D) to reading44. --_______--Never mind.A) I’d like to invite you to my birthday party tomorrow.B) I’m awfully sorry for bringing yo so much trouble.C) Would you please pass me the dictionary on that table?D) Shall we go for a bicycle riding to the zoo this weekend?45. --You look tired. Miss Green. Would you like me to bring you a cup of coffee?--________A) Of course not. B) Yes, I’d love to C) Me too. D) Yes, please.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）II.Choose the best answer（选择最恰当的答案）（共20分）26. Which of the following underlined parts is different in pronunciation from others?A. We can add some sound effect when creating a comic strip.B. The guy was caught soon after the robbery.C. The man remov es the fish from the birds’ mouths.D. Excuse me. can you tell me where the hospital is?27. Carter lives in a small village and makes ________ living by teaching the kids painting.A. aB. anC. theD. /28. We should take actions to reduce the haze（雾霭）because it does harm ________ our health.A. withB. toC. onD. for29. Two engineers in the company started a new project while ________ were finishing the old one.A. otherB. othersC. the otherD. the others30. Alice has the habit of doing morning exercises, even ________ winter days.A. withB. onC. ofD. by31. Jack wrote two reports, but ________ of them was helpful for us to solve the problems.A. bothB. neitherC. allD. none32. Mr. Smith's response to the news made Jerry ________ how bad the situation was.A. realizeB. to realizeC. realizedD. realizing33.1 looked at a few printers, and among them the one from China was ________ to use.A. easyB. easierC. easiestD. the easiest34. My cousin ________ several prizes for designing since he became an architect.A. gainsB. gainedC. has gainedD. was gaining35. Rony will get a chance to work in this company ________ he doesn’t pas s the interview.A. unlessB. whenC. ifD. after36. ________ useful app Kitty designed for the old to call a taxi!A. WhatB. What aC. What anD. How37. ________ it with your class teacher if you can’t make the decision yourselves.A. DiscussB. DiscussingC. To discussD. Discussed38. Would you mind ________ me add some speech bubbles for the cartoons?A. helpB. helpingC. helpedD. to help39. Reading is interesting and it also enables us ________ the world around us.A. understandB. understandingC. understoodD. to understand40.-- ________ can you hold your breath when you use diving?-- Only one minute.。

2019年上海市九年级中考数学第一轮模拟试卷含解析

2019年上海市九年级中考数学第一轮模拟试卷含解析

2019年上海市九年级中考数学第一轮模拟试卷含解析一、选择题（本大题共6题,每题4分,满分24分)1．（4分）如图，已知AB∥CD∥EF，BD：DF＝1：2，那么下列结论正确的是（）A．AC：AE＝1：3 B．CE：EA＝1：3 C．CD：EF＝1：2 D．AB：CD＝1：2 2．（4分）下列命题中，正确的是（）A．两个直角三角形一定相似B．两个矩形一定相似C．两个等边三角形一定相似D．两个菱形一定相似3．（4分）已知二次函数y＝ax2﹣1的图象经过点（1，﹣2），那么a的值为（）A．a＝﹣2 B．a＝2 C．a＝1 D．a＝﹣14．（4分）如图，直角坐标平面内有一点P（2，4），那么OP与x轴正半轴的夹角α的余切值为（）A．2 B．C．D．5．（4分）设m，n为实数，那么下列结论中错误的是（）A．m（n）＝（mn）B．（m+n）＝m+nC．m（）＝m+m D．若m＝，那么＝6．（4分）若⊙A的半径为5，圆心A的坐标是（1，2），点P的坐标是（5，2），那么点P的位置为（）A．在⊙A内B．在⊙A上C．在⊙A外D．不能确定二、填空题（本大题共12题,每题4分,满分48分)7．（4分）抛物线y＝x2﹣1的顶点坐标是．8．（4分）将二次函数y＝2x2的图象向右平移3个单位，所得图象的对称轴为．9．（4分）请写出一个开口向下且过点（0，2）的抛物线解析式：．10．（4分）若2||＝3，那么3||＝．11．（4分）甲、乙两地的实际距离为500千米，甲、乙两地在地图上的距离为10cm，那么图上 4.5cm的两地之间的实际距离为千米．12．（4分）如果两个相似三角形的周长的比等于1：4，那么它们的面积的比等于．13．（4分）Rt△ABC中，∠C＝90°，AB＝2AC，那么sin B＝．14．（4分）直角三角形的重心到直角顶点的距离为4cm，那么该直角三角形的斜边长为．15．（4分）如图，四边形ABCD中，AB∥DC，点E在CB延长线上，∠ABD＝∠CEA，若3AE＝2BD，BE＝1，那么DC＝．16．（4分）⊙O的直径AB＝6，C在AB延长线上，BC＝2，若⊙C与⊙O有公共点，那么⊙C的半径r的取值范围是．17．（4分）我们将等腰三角形腰长与底边长的差的绝对值称为该三角形的“边长正度值”，若等腰三角形腰长为5，“边长正度值”为3，那么这个等腰三角形底角的余弦值等于．18．（4分）如图，Rt△ABC中，∠ACB＝90°，AC＝4，BC＝5，点P为AC上一点，将△BCP沿直线BP翻折，点C落在C′处，连接AC′，若AC′∥BC，那么CP的长为．三、解答题（本大题共7题,满分78分)19．（10分）计算：sin30°tan30°+cos60°cot30°．20．（10分）已知：如图，在△ABC中，AB＝AC，点E、F在边BC上，∠EAF＝∠B．求证：BF?CE＝AB2．21．（10分）如图，已知：△ABC中，点D、E分别在AB、AC上，AB＝9，AC＝6，AD ＝2，AE＝3．（1）求的值；（2）设＝，＝，求（用含、的式子表示）．22．（10分）如图，已知：Rt△ABC中，∠ACB＝90°，点E为AB上一点，AC＝AE＝3，BC＝4，过点A作AB的垂线交射线EC于点D，延长BC交AD于点F．（1）求CF的长；（2）求∠D的正切值．23．（12分）地铁10号线某站点出口横截面平面图如图所示，电梯AB的两端分别距顶部9.9米和2.4米，在距电梯起点A端6米的P处，用 1.5米的测角仪测得电梯终端B处的仰角为14°，求电梯AB的坡度与长度．参考数据：sin14°≈0.24，tan14°≈0.25，cos14°≈0.97．24．（12分）如图，已知：二次函数y＝x2+bx的图象交x轴正半轴于点A，顶点为P，一次函数y＝x﹣3的图象交x轴于点B，交y轴于点C，∠OCA的正切值为．（1）求二次函数的解析式与顶点P坐标；（2）将二次函数图象向下平移m个单位，设平移后抛物线顶点为P′，若S△ABP＝S△BCP，求m的值．25．（14分）如图，已知：梯形ABCD中，∠ABC＝90°，∠DAB＝45°，AB∥DC，DC＝3，AB＝5，点P在AB边上，以点A为圆心AP为半径作弧交边DC于点E，射线EP于射线CB交于点F．（1）若AP＝，求DE的长；（2）联结CP，若CP＝EP，求AP的长；（3）线段CF上是否存在点G，使得△ADE与△FGE相似？若相似，求FG的值；若不相似，请说明理由．2019年上海市宝山区中考数学一模试卷参考答案与试题解析一、选择题（本大题共6题,每题4分,满分24分)1．【解答】解：∵AB∥CD∥EF，∴AC：CE＝BD：DF＝1：2，即CE＝2AC，∴AC：CE＝1：3，CE：EA＝2：3．故选：A．2．【解答】解：两个直角三角形不一定相似，两个矩形不一定相似，两个菱形不一定相似，而两个等边三角形一定相似．故选：C．3．【解答】解：把（1，﹣2）代入y＝ax2﹣1得a﹣1＝﹣2，解得a＝﹣1．故选：D．4．【解答】解：过点P作PA⊥x轴于点A．由于点P（2，4），∴PA＝4，OA＝2∴cotα＝＝．故选：B．5．【解答】解：A、如果m、n为实数，那么m（n）＝（mn），故本选项结论正确；B、如果m、n为实数，那么（m+n）＝m+n，故本选项结论正确；C、如果m、n为实数，那么m（）＝m+m，故本选项结论正确；D、如果m为实数，那么若m＝，那么m＝0或＝，故本选项结论错误．故选：D．6．【解答】解：∵圆心A的坐标是（1，2），点P的坐标是（5，2），∴AP＝＝4＜5，∴点P在⊙A内，故选：A．二、填空题（本大题共12题,每题4分,满分48分)7．【解答】解：抛物线y＝x2﹣1的顶点坐标为（0，﹣1）．故答案是：（0，﹣1）．8．【解答】解：将二次函数y＝2x2的图象向右平移3个单位，所得解析式为：y＝2（x﹣3）2，故其图象的对称轴为：直线x＝3．故答案为：直线x＝3．9．【解答】解：∵开口向下且过点（0，2）的抛物线解析式，∴可以设顶点坐标为（0，2），故解析式为：y＝﹣x2+2（答案不唯一）．故答案为：y＝﹣x2+2（答案不唯一）．10．【解答】解：由2||＝3得到：||＝，故3||＝3×＝．故答案是：．11．【解答】解：∵甲、乙两地的实际距离为500千米，甲、乙两地在地图上的距离为10cm，∴比例尺＝＝，设图上 4.5cm的两地之间的实际距离为xcm，则＝，解得x＝22500000，∵cm＝225km，∴图上4.5cm的两地之间的实际距离为225千米．故答案为：225．12．【解答】解：∵两个相似三角形的周长的比等于1：4，∴它们的相似比为1：4，∴它们的面积的比等于1：16．故答案为：1：16．13．【解答】解：由题意，得sin B＝＝，故答案为：．14．【解答】解：由题意得，CG＝4，∵点G是△ABC的重心，∴CD＝CG＝6，CD是△ABC的中线，在Rt△ACB中，∠ACB＝90°，CD是△ABC的中线，∴AB＝2CD＝12（cm），故答案为：12cm．15．【解答】解：∵AB∥DC，∴∠ABD＝∠BDC，∵∠ABD＝∠CEA，∴∠AEB＝∠BDC，∴∠EAB＝180°﹣∠AEB﹣∠ABE，∠CBD＝180°﹣∠ABD﹣∠ABE，∴∠EAB＝∠CBD，∴△AEB∽△BDC，∴＝，∵3AE＝2BD，BE＝1，∴CD＝，故答案为：．16．【解答】解：∵⊙O的直径AB＝6，C在AB延长线上，BC＝2，∴CA＝8，∵⊙C与⊙O有公共点，即⊙C与⊙O相切或相交，∴r＝2或r＝8或2＜r＜8，即2≤r≤8．故答案为2≤r≤8．17．【解答】解：设等腰三角形的底边长为a，|5﹣a|＝3，解得，a＝2或a＝8，当a＝2时，这个等腰三角形底角的余弦值是：，当a＝8时，这个等腰三角形底角的余弦值是：，故答案为：或18．【解答】解：过点C'作C'D⊥BC于点D，∵A'C∥BC，∠ACB＝90°，∴∠C'AC＝∠ACB＝90°，且C'D⊥BC，∴四边形C'DCA是矩形，∴CD＝AC'，C'D＝AC＝4，∵折叠∴BC'＝BC＝5，CP＝C'P，在Rt△BDC'中，BD＝＝3∴CD＝BC﹣BD＝2∴AC'＝2，在Rt△AC'P中，C'P2＝C'A2+AP2，∴CP2＝4+（4﹣CP）2，∴CP＝故答案为：三、解答题（本大题共7题,满分78分)19．【解答】解：原式＝×+×＝．20．【解答】证明：∵∠AEC＝∠B+∠BAE＝∠EAF+∠BAE＝∠BAF，又∵AB＝AC，∴∠B＝∠C，∴△ABF∽△ECA，∴AB：CE＝BF：AC，∴BF?EC＝AB?AC＝AB2．21．【解答】解：（1）∵∠AED＝∠ABC，∠A＝∠A∴△ADE∽△ACB，∴＝＝＝，即＝．（2）＝+＝﹣+．22．【解答】解：（1）∵∠ACB＝90°，∴∠ACF＝∠ACB＝90°，∠B+∠BAC＝90°，∵AD⊥AB，∴∠BAC+∠CAF＝90°，∴∠B＝∠CAF，∴△ABC∽△FAC，∴＝，即＝，解得CF＝；（2）如图，过点C作CH⊥AB于点H，∵AC＝3，BC＝4，∴AB＝5，则CH＝＝，∴AH＝＝，EH＝AE﹣AH＝，∴tan D＝tan∠ECH＝＝．23．【解答】解：作BC⊥PA交PA的延长线于点C，作QD∥PC交BC于点D，由题意可得，BC＝9.9﹣2.4＝7.5米，QP＝DC＝1.5米，∠BQD＝14°，则BD＝BC﹣DC＝7.5﹣1.5＝6米，∵tan∠BQD＝，∴tan14°＝，即0.25＝，解得，ED＝18，∴AC＝ED＝18，∵BC＝7.5，∴tan∠BAC＝＝，即电梯AB的坡度是5：12，∵BC＝7.5，AC＝18，∠BCA＝90°，∴AB＝＝19.5，即电梯AB的坡度是5：12，长度是19.5米．24．【解答】解：（1）∵y＝x﹣3，∴x＝0时，y＝﹣3，当y＝0时，x﹣3＝0，解得x＝6，∴点B（6，0），C（0，﹣3），∵tan∠OCA＝＝，∴OA＝2，即A（2，0），将A（2，0）代入y＝x2+bx，得4+2b＝0，解得b＝﹣2，∴y＝x2﹣2x＝（x﹣1）2﹣1，则抛物线解析式为y＝x2﹣2x，顶点P的坐标为（1，﹣1）；（2）如图，由平移知点P′坐标为（1，﹣1﹣m），设抛物线对称轴与x轴交于点H，与BC交于点M，则M（1，﹣），S△ABP′＝AB?P′H＝×4（m+1）＝2（m+1），S△BCP′＝S△P′MC+S△P′MB＝P′M?OB＝|﹣1﹣m+|×6＝3|﹣m|，∴2（m+1）＝3|﹣m|，解得m＝或m＝．25．【解答】解：（1）如图1中，过点A，作AH∥BC，交CD的延长线于点H．∵AB∥CD，∴∠ABC+∠C＝180°，∵∠ABC＝90°，∴∠C＝∠ABC＝∠H＝90°，∴四边形AHCB是矩形，∴AB＝CH＝5，∵CD＝3，∴DH＝CH﹣CD＝2，∵∠HAB＝90°，∠DAB＝45°，∴∠HAD＝∠HDA＝45°∴HD＝AH＝2，AE＝AP＝，根据勾股定理得，HE＝＝3，则ED＝1；（2）连接CP，设AP＝x．∵AB∥CD，∴∠EPA＝∠CEP，即等腰△APE、等腰△PEC两个底角相等，∴△APE∽△PEC，∴＝，即：PE2＝AE?CE，而EC＝2PB＝2（5﹣x），即：PC2＝CE?AP＝2（5﹣x）x，而PC2＝PB2+BC2，即：PC2＝（5﹣x）2+22，∴2（5﹣x）x＝（5﹣x）2+22，解得：x＝（不合题意值已舍去），即：AP＝；（3）如图3中，在线段CF上取一点G，连接EG．设∠F＝α，则∠APE＝∠AEP＝∠BPF＝90°﹣α，则：∠EAP＝180°﹣2∠APE＝2α，∵△ADE∽△FGE，设∠DAE＝∠F＝α，由∠DAB＝45°，可得3α＝45°，2α＝30°，在Rt△ADH中，AH＝DH＝2，在Rt△AHE中，∠HEA＝∠EAB＝2α＝30°，∠HAE＝60°，∴HE＝AH?tan∠HAE＝2，∴DE＝HE﹣HD＝2﹣2，EC＝HC﹣HE＝5﹣2，∵△ADE∽△FGE，∴∠ADC＝∠EGF＝135°，则∠CEG＝45°，∴EG＝EC＝5﹣2，∴＝，即：＝，解得：FG＝3﹣1．。

2019年上海各区中考物理一模试题分类汇编——数据表格((word版包含答案)

2019年上海各区中考物理一模试题分类汇编——数据表格((word版包含答案)

小（ 2019年上海各区中考物理一模试题分类汇编——数据表格（（word 版包含答案）2019 年上海中考物理一模试题分类汇编——数据表格1．（19 嘉定区一模）某班同学在学习“重力”时，根据“用手掂物体”的活动体验和生活经验对物体受到的重力大与哪些因素有关提出了以下猜想：猜想 1：物体的质量；猜想 2：物质的种类。

表一被测物体：大米实验序号12 3表二被测物体：黄豆实验序号45 6表三被测物体：陶泥实验序号789质量（千克）0.100.25 0.30质量（千克）0.080.20 0.36质量（千克）0.050.150 .40重力（牛）1.02.53.0重力（牛）0.82.03.6重力（牛）0.51.54.0 ①请你举出一个实例，作为提出猜想 1 的依据。

根据上述猜想与假设，他们分组设计实验方案，利用弹簧测力计分别测得质量已知的多份大米、黄豆和陶泥所受的重力，实验中记录的有关数据分别如表一、表二、表三所示。

②分析比较实验序号 1、2 与 3 或 4、5 与 6 或 7、8 与 9 中的物体受到的重力与质量的关系及相关条件，可得出的初步结论是：。

③同学们在交流时发现根据实验所测数据无法直接比较物体受到的重力与物质种类的关系，理由是：。

④他们进一步综合分析比较表一、表二、表三中的物体受到的重力与其质量的关系发现：大米、黄豆和陶泥受到的重力和其质量的比值是个定值，且都相同，这表明猜想 2 是否成立？⑤本实验进行了多次测量，其目的与以下实验多次测量目的不同的是A ．测定物质的密度C ．探究物质的质量与体积的关系B ．探究导体中的电流与电压关系D ．探究凸透镜成像的规律2 ． 19 青浦区一模）在“探究物质质量与体积的关系”实验中，某小组同学分别用甲、乙两种不同的固态物质做实验。

实验时，分别测出它们的体积和质量，记录数据如表一、表二所示。

表一 甲物质（固态）实验序号1体积（厘米 3）10质量（克）9表 2019年上海各区中考物理一模试题分类汇编——数据表格（（word 版包含答案）表二 乙物质（固态）实验序号456体积（厘米 3）102030质量（克）112233①分析比较实验序号 1、2 与 3（或 4、5 与 6）的数据及相关条件，可得出的初步结论是： 。

2019上海各区一摸初三数学试卷

2019上海各区一摸初三数学试卷

普陀区2018学年第一学期初三质量调研数学试卷（时间：100分钟，满分150分）2019.01.08一、选择题（本大题共6题，每题4分，满分24分）1. 已知二次函数y=(a−1)x2+3的图像有最高点，那么a的取值范围是（▲）（A）a>0 （B）a<0（C）a>1 （D）a<12. 下列二次函数中，如果图像能与y轴交于点A（0.1），那么这个函数是（▲）（A）y=3x2（B）y=3x2+1（C）y=3(x+1)2（D）y=3x2−x3. 如图1，在∆ABC中，点D、E分别在∆ABC的边AB、AC上，如果添加下列其中之一的条件，不一定能使∆ADE与∆ABC相似，那么这个条件是（▲）（A）∠AED=∠B（B）∠ADE=∠C（C）ADAC =AEAB（D）ADAB=DEBC4. 已知a⃗、b⃗⃗、c⃗都是非零向量，如果a⃗=2c⃗，b⃗⃗=−2c⃗，那么下列说法中，错误的是（▲）（A）a⃗//b⃗⃗（B）|a⃗|=|b⃗⃗|（C）a⃗+b⃗⃗=0（D）a⃗与b⃗⃗方向相反5. 已知⊙O1和⊙O2，其中⊙O1为大圆，半径为3，如果两圆内切圆心距等于2，那么两圆外切时圆心距等于（▲）；（A）1 （B）4 （C）5 （D）86. 如图2，在∆ABC中，点D、E分别在边AB、AC上，DE//BC，且DE经过重心G，在下列四个说法中，○1DEBC =23○2BDAD=13○3C∆ADEC∆ABC=23○4S∆ADES四边形DBCE=45，正确的个数是（▲）（A）1 （B）2 （C）3 （D）4二、填空题（本大题共12题，每题4分，共计48分）7. 如果xy =72，那么x−2yy的值是▲；8. 化简3(a⃗+1b⃗⃗)−2(a⃗−b⃗⃗)= ▲；(x+3)2−4先向右平移2个单位，在向上平移3个单位，那么平移后所得10. 将抛物线y=12新抛物线的表达式是▲；11. 已知抛物线y=2x2+bx−1的对称轴是直线x=1，那么b的值等于▲；12. 已知∆ABC三边的比为2:3:4，与它相似的∆A′B′C′最小边的长等于12，那么∆A′B′C′最大边的长等于▲；13. 在Rt∆ABC中，∠ACB=90°，AB=3，BC=1，那么∠A的正弦值是▲；14. 正八边形的中心角为▲度；15. 如图3，在梯形ABCD中，AD//BC，AB⊥BC，BD⊥DC，tan∠ABD=1，BC=5，那么DC2的长等于▲；16. 如图4，AB//CD，AD、BC相交于点E，过E作EF//CD交BD于点F，如果AB:CD=2:3，EF=6，那么CD的长等于▲；17. 已知二次函数y=ax2+c(a>0)的图像上有纵坐标分别为y1、y2的两点A、B，如果A、B到对称轴的距离分别等于2、3，那么y1▲y2；（填“<”、“=”或“>”），点D在边BC上，将∆ABD沿直线AD翻折得到∆AED，18. 如图5，∆ABC中，AB=AC=8，cosB=34点B的对应点为点E，AE与边BC相交于点F，如果BD=2，那么EF= ▲；三、解答题（本大题7题，满分78分）19. （本题满分10分）计算：4sin45°+cos230°−2cot45°tan60°−√2如图6，在平行四边形ABCD 中，对角线AC 、BD 相交于点O ，点E 在边BC 上，AE 与BD 相交于点G ，AG:GE=3:1（1） 求EC:BC 的值；（2） 设BA ⃗⃗⃗⃗⃗⃗=a ⃗，AO ⃗⃗⃗⃗⃗⃗=b ⃗⃗，那么EC ⃗⃗⃗⃗⃗⃗= ▲ ；GB ⃗⃗⃗⃗⃗⃗= ▲ （用向量a ⃗、b⃗⃗表示）21. （本题满分10分）如图7，⊙O 1和⊙O 2相交于A 、B 两点，O 1O 2与AB 相交于点C ，O 2A 的延长线交⊙O 1于点D ，点E 为AD 的中点，AE=AC ，联结O 1E ； （1）求证：O 1E =O 1C ；（2）如果O 1O 2=10，O 1E =6，求⊙O 2的半径长；如图8，小山的一个横断面是梯形BCDE，EB//DC，其中斜坡DE的坡长为13米，坡度i=1:2.4，小山上有一座铁塔AB，在山坡的坡顶E处测得铁塔顶端A的仰角为45°，在与山坡的坡度D相距5米的F处测得铁塔顶端A的仰角为31°（点F、D、C在一直线上），求铁塔AB的高度；（参考数值：sin31°≈0.52，cos31°≈0.86，tan31°≈0.6）23. （本题满分12分）已知，如图9，∆ADE的顶点E在∆ABC的边BC上，DE与AB相交于点F，AE2=AF∙AB，∠DAF=∠EAC；（1）求证：∆ADE~∆ACB；（2）求证：DFDE =CECB如图10，在平面直角坐标系xOy中，抛物线y=ax2+bx−3(a≠0)与x轴交于点A（-1,0）和点B，且OB=3OA，与y轴交于点C，此抛物线顶点为D；（1）求抛物线的表达式及顶点D的坐标；（2）如果点E是y轴上的一点（点E与点C不重合），当BE⊥DE时，求点E的坐标；（3）如果点F是抛物线上的一点，且∠FBD=135°，求点F的坐标；如图11，点O在线段AB上，AO=2OB=2a，∠BOP=60°，点C是射线OP上的一个动点；（1）如图11○1，当∠ACB=90°，OC=2，求a的值；（2）如图11○2，当AC=AB时，求OC的长（用含a的代数式表示）；（3）在第（2）题的条件下，过点A作AQ//BC，并使∠QOC=∠B，求AQ:OQ的值；123456D B D C B C789101112131415161718奉贤区2018学年第一学期初三质量调研数学试卷（时间：100分钟，满分150分）2019.01.08一、选择题（本大题共6题，每题4分，满分24分）1. 已知线段a、b，如果a:b=5:2，那么下列各式中一定正确的是（▲）（A）a+b=7 （B）5a=2b（C）a+bb =72（D）a+5b+2=12. 关于二次函数y=12(x+1)2的图像，下列说法正确的是（▲）（A）开口向下（B）经过原点（C）对称轴右侧的部分是下降的（D）顶点坐标是（-1,0）3. 如图1，在直角坐标平面内，射线OA与x轴正半轴的夹角为 α，如果OA=√10，tanα=3，那么点A的坐标是（▲）（A）（1,3）（B）（3,1）（C）(1，√10)（D）（3，√10）4. 对于非零向量a⃗、b⃗⃗，如果2|a⃗|=3|b⃗⃗|，且它们的方向相同，那么用向量a⃗表示向量b⃗⃗正确是（▲）（A）b⃗⃗=32a⃗（B）b⃗⃗=23a⃗（C）b⃗⃗=−32a⃗（D）b⃗⃗=−23a⃗5. 某同学在利用描点法画二次函数y=ax2+bx+c(a≠0)的图像时，先取自变量x的一些值，计算出相应的函数值y，如下表所示：x⋯01234⋯y⋯-30-103⋯接着，他在描述中发现，表格中有一组数据计算错误，他计算错误的一组数据是（▲）（A）{x=0y=−3（B）{x=2y=−1（C）{x=3y=0（D）{x=4y=36. 已知⊙A的半径AB长是5，点C在AB上，且AC=3，如果⊙C与⊙A有公共点，那么⊙C的半径长r的取值范围是（▲）（A）r≥2（B）r≤8（C）2<r<8（D）2≤r≤8二、填空题（本大题共12题，每题4分，共计48分）7. 计算：3a⃗+2(a⃗−12b⃗⃗)= ▲；8. 计算：sin30°∙tan60°=▲；9. 如果函数y=(m−1)x2+x（m是常数）是二次函数，那么m的值取值范围是▲；10. 如果一个二次函数的图像在其对称轴左侧部分是上升的，那么这个二次函数的解析式可以是▲；（只需些一个即可）11. 如果将抛物线y=−2x2向右平移3个单位，那么所得到的新抛物线的对称轴是直线▲；12. 如图2，AD与BC相交于点O，如果AOAD =13，那么当BOCO的值是▲时，AB//CD；13. 如图3，已知AB是⊙O的弦，C是AB̂的中点，联结OA、AC，如果∠OAB=20°，那么∠CAB 的度数是▲；14. 联结三角形各边中点，所得的三角形的周长与原三角形周长的比是▲；15. 如果正n边形的一个内角是它的中心角的2倍，那么n的值是▲；16. 如图4，某水库大坝的横截面是梯形ABCD，坝顶宽DC是10米，坝底宽AB是90米，背水坡AD和迎水坡BC的坡度都为1:2.5，那么这个水库大坝的坝高是▲米；17. 我们把边长是两条对角线长度的比例中项的菱形叫做“钻石菱形”，如果一个“钻石菱形”的面积为6，那么它的边长是▲；18. 如图5，在∆ABC中，AB=AC=5，sinC=35，将∆ABC绕点A逆时针旋转得到∆ADE，点B、C分别与点D、E对应，AD与边BC交于点F，如果AE//BC，那么BF的长是▲；三、解答题（本大题7题，满分78分） 19. （本题满分10分，每小题满分5分） 已知抛物线y =x (x −2)+2（1）用配方法把这个抛物线的表达式化成y =a(x +m)2+k 的形式，并写出它的顶点坐标； （2）将抛物线y =x (x −2)+2上下平移，使顶点移到x 轴上，求新抛物线的表达式；20. （本题满分10分，每小题满分5分）如图6，已知AD 是∆ABC 的中线，G 是重心； （1）设AB ⃗⃗⃗⃗⃗⃗=a ⃗，BC ⃗⃗⃗⃗⃗⃗=b ⃗⃗，用向量a ⃗、b ⃗⃗表示BG ⃗⃗⃗⃗⃗⃗ （2）如果AB=3，AC=2，∠GAC =∠GCA ，求BG 的长；21. （本题满分10分，每小题满分5分）如图7，已知Rt∆ABC ，∠BAC =90°，BC=5，AC =2√5，以A 为圆心，AB 为半径画圆，与边BC 交于另一点D ； （1）求BD 的长；（2）联结AD ，求∠DAC 的正弦值；22. （本题满分10分，每小题满分5分）“滑块铰链”是一种用于连接窗扇和窗框，使窗户能够开启和关闭的连杆式活动链接装置（如图8-1），如图8-2是“滑块铰链”的平面示意图，滑轨MN安装在窗框上，悬臂DE安装在窗扇上，支点B、C、D始终在一条直线上，已知托臂AC=20厘米，托臂BD=40厘米，支点C、D之间的距离是10厘米，张角∠CAB=60°；（1）求支点D到滑轨MN的距离（精确到1厘米）；（2）将滑块A向左侧移动到A’，（在移动过程中，托臂长度不变，即AC=A’C’，BC=BC’）当张角∠C′A′B=45°时，求滑块A向左侧移动的距离（精确到1厘米）。

2019年上海各区中考物理一模试题分类汇编——基础实验(word版包含答案)

2019年上海各区中考物理一模试题分类汇编——基础实验(word版包含答案)

2019年上海各区中考物理一模试题分类汇编——基础实验（word版包含答案）2019 年上海中考物理一模试题分类汇编——基础实验1．（19虹口区一模）在验证阿基米德原理”的实验中，弹簧测力计两次示数差表明了物体受到的；用量筒测量物体排开液体的，并计算出物体排开液体受到的，然后比较两者是否相等，并选择物体多次验证（选填“同一”或“不同”）。

2．（19上海一模）如图1是电学实验中常用的一种测量仪表的表盘，它的名称叫表，使用时应该将它与被测对象联。

图2 为实验装置，若实验时玻璃管倾斜，则水银柱的高度将（选填“不变”、“变大”、“变小”）3．（19普陀区一模）“测定小灯泡的电功率”的实验原理是，在连接电路过程中，电键应该处于状态，电压表应与被测小灯泡联连接。

4．（19金山区一模）在“用电流表、电压表测电阻”的实验中，某同学连接电路，如图所示。

闭合电键前为了保护电路，应将滑动变阻器滑片移至端（选填“A”或“B”），各电表所测的值均不得超过它们的，实验中通过改变滑动变阻器的电阻来改变待测电阻R x两端的，该实验中多次测量的目的是，最后求出电阻R x的大小。

5．（19青浦区一模）在“用电压表测电压”实验中，电压表直接接在电源两端（选填“能”或“不能”），所测电压不得超过它的。

6．（19嘉定区一模）如图1所示，当弹簧测力计在C处从竖直向上用力到逐渐斜向上用力的过程中，杠杆始终在水平位置平衡，弹簧测力计的示数将，该拉力的力臂将；图2 所示是“探究平面镜成像特点”的实验装置，当蜡烛A 向玻璃板靠近时，蜡烛A 的像（以上三空均选填“变大”、“不变”或“变小”）。

“验证阿基米德原理”的实验目的是：研究浸在液体中的物体所受的浮力与它排开液体的之间的关系。

7．（19 嘉定区一模）用弹簧测力计测水平拉力大小时，要先沿 方向上调零。

在“探究二力平衡的条件”实验中，应保持物体处于或状态进行研究。

在电学实验中，连接电路时，电键应处于状态。

2019届上海各区初三英语一模试卷题型分类专题汇编--选词填空--学生版(纯净word已校对终结版)

2019届上海各区初三英语一模试卷题型分类专题汇编--选词填空--学生版(纯净word已校对终结版)

Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）Bread is not just for eating any more! Have you ever ____46____ keeping bread in your medicine box? That may sound ___47___, but bread is more useful than you think. Here are some unusual uses for bread.In ancient China, people used bread as a kind of medicine. In those days, moldy bread was ___48___ to open wounds in order to treat or prevent wounds...Does cutting onions cause you to cry? Try holding a piece of bread in your mouth, with a little bit sticking out.No more ____50____.Are fingerprints on your walls driving you mad? White bread ___51___ to be aperfectcleaning “cloth”.Why not try bread when you have splinters in your finger? Place a bit of bread over the splinter, cover it with a piece of soft material, and leave it the ___52___ night. The bread can draw out the splinter without ___53___ as you sleep.So now you know that a loaf of bread in your kitchen has more to offer than just sandwiches.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）I have been in China for early a year. As a foreigner, it’s hard for me tell what Chinese people are ____46____. But my experience in Beijing said something.A couple of weeks ago, I went to buy four big suitcases(行李箱) for travel. It suddenly rained heavily ___47___. I was going down the street. A stranger called me into his little shop. He offered me a cup of tea and a chair. When the rain got ___48___, I thanked him and rushed to a store nearby to buy my suitcases.If you’ve ever tried to push four big suitcases by yourself, you may understand my situation.I looked silly, for the suitcases were dancing wildly across the floor. Then I got a touch on the shoulder. It was the seller. He signed that I should wait. A few minutes later, he drove up in a car, and put the suitcases ___49___. Then we went driving happily along the road to my home. I offered him some money, but he refused. In broken English he said, “Feel good...help you.”Now, you can see Chinese people are always ready to help you.Root VegetablesWould you like to eat a root? You ___50___ already have. People and animals eat many kinds of roots. Most roots that people eat are usually ___51___ root vegetables. A root vegetable is what we call vegetables that grow underground.A carrot is one ___52___ of root vegetable. It is the orange, edible root of the carrot plant. Many people like to put it in salad. A turnip is another root vegetable. It is a member of the cabbage family. Turnips are usually eaten boiled, steamed, roasted, fried, pickled, or even raw.Although some people do not ___53___ potatoes to be a vegetable, they are a root vegetable. People like to eat them boiled, fried, and mashed sweet potatoes, yams, beets, and leeks are some other root vegetables that people like to eat.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）It’s said there are two types of people in the world---cat people and dog people. Take a look at many posts written by dog lovers and cat lovers on social media. Both groups try to ____46____ why their preference is better. And both groups have good ___47___. Dog lovers say that “man’s best friend”is faithful, active and sweet. On the other hand, cats are ___48___ “masters”, while their owners are more like their “servants”. But this is about more than just what kind of pet someone prefers. Someone’s preference can also ___49___ you more about them a person.A new study from Carroll University shows that people may ____50____ pets based on their own personality. For example, cats are seen as independent animals that keep to themselves and are cautious(警惕的) of others. “If you’re a cat lovers, you’re supposed to have the similar ____51____.” said Denise, one of the psychologists(心理学家) who led the study.Denise’s study shows that the re are other personality differences between dog lovers and cat lovers. The former tend to be outgoing and ____52____, while the latter are quiet and open-minded.Besides, Denise mentioned that people and their dogs prefer to do ____53____ activities, but if you’re cat people, you’re more likely to stay indoors with your cats.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）There is an old story about a king and his daughter. The king asked his daughter how much she loved him. She said that she loved him as much as she loved salt. Her answer upset the king. Salt is a ____46____ thing, and it is very common. So the king thought his daughter didn’t care about him. But the king was wrong. Salt might be common, but it is very important. Salt has caused wars and revolutions ____47____ history. So why do people care so much about salt?Salt has many uses. Our bodies need salt. If we don’t have enough, our muscles, nerves and organs can’t function ____48____. We put salt on icy roads to make them safe. We also use salt to produce other products. Products like plastic, paper, glass, rubber and soap ____49____ salt. One kind of salt is even an important part of gunpowder. But for many years, salt’s most important job was preserving food.Like other living things, most bacteria(细菌) that cause food to go bad need water to ____50____. Salt takes in large amounts of water, so most bacteria cannot live in a salty environment. As a result, salt has the ability to preserve almost anything. For much of human history, this ability has made salt treasured and indispensable. Every ____51____ culture from Egypt to China rely on salt. Even today, we ____52____ hardworking, useful people to salt by calling them “the salt of the earth”.Since almost everyone needed salt, the salt trade was an important ____53____. Salt could even be used like money. In fact, the word salary comes from the word salt. And valuable people are still said to be “worth their salt.” Today, salt is easy to get. It is no longer expensive, but it is still both important and useful.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）Chinese netizens(网民) under the age of 14 are no longer allowed to have a micro-blogging account on Sina Weibo. According to the service provider, it began at the end of last year.The move is to protect the safety online of youngsters and to help build a clean, healthy, civilized and organized online environment. There is a statement made by the platform’s operator on its ___46___ micro blog.But the operator said a special version(版本) of the Weibo platform for youngers users would be designed and ___47___ as soon as possible. It is to make sure that teenagers are protected more ___48___.“We’ve always paid high attention to protecting the young people, and we never stop our ___49___ to create a better online space for them,” it said. “We welcome all users to keep an eye on us and work together with us to make the platform safer and cleaner.”Do you think bears know who their brothers and sisters are? Do you think they love them in the same way people do?Every summer, bears eat a lot of salmon(鲑鱼). The grizzlies(北美洲灰熊) stand in the water and use their front legs to feel the river ___50___. When they feel a salmon, they catch it with their feet, and then grab it with their teeth.One young grizzly was having trouble. A hunter killed his mother and also ___51___ the cub(baby bear) in the leg, so he could not fish. He tried and tried, but he never caught any salmon.Stacy Corbin, a fishing guide in Alaska, ___52___ about the cub---until he saw the cub’s sister catch six salmon and put them near her brother’s feet. While other cubs hunted ___53___, the sister stayed and looked after her brother. “She fed him for weeks,” says Corbin. Because of her, he lived. That really is love!Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）Until the early twentieth century, it was always unsuccessful to transfuse blood(输血) from one person to another person. Then in 1901, Karl Landsteiner, an Austrian scientist, discovered that there are four types of blood. There four blood types were named A, B, AB, and O. People have one of these four types. Blood type O is the most ___46___ around the world because the number of the people with type O is the largest, while type B blood are given type A blood, they will ___47___ die. Karl Landsteiner’s research made it possible to be sure that people who need blood get the correct type.The study of blood didn’t stop. In 1972, a Japanese doctor, Furukawa Takeji, ____48____ another research about blood. And he came up with the idea that it was possible to tell one person’s ___49___ only by his blood type, which can help you know about the person quickly.For example, people with type A blood are usually serious. They always have a ____50____ and careful attitude when they deal with many things: People with type B blood are cheerful, and outgoing; People with type O blood are generous and honest; while those with type AB blood are often caring and helping. They are always willing to ___51___ others.Last year, a doctor in the United States wrote a book that links blood types and what people eat. For example, his book gives some ___52___, like people with type O blood should eat more Your Type, has been a hit with people who want to lose weight. What’s more,j the book says eating food that ___53___ a person’s blood type can not only help them lose weight but also make them healthier.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）The debate on “textbooks” vs “computers” has been going on for years. How much technology is ___46___ in the classroom? Should textbooks be placed by notebook computers?There is no doubt that computers are powerful ____47____. Computer-based lesson plans are updated in real time. New information can be ____48____ as soon as changes take place. Students can find the latest information for the subjects they are studying.With computers, students can learn how to use them for the rest of their lives. Today, computers are used in almost all areas. Students can ____49____ themselves better for the future if they have computers.However, despite these ____50____, I think textbooks must stay.Textbooks are professionally edited. All the facts have been checked. They are put together in the best way. Each chapter builds on what a student has learned before. On the Internet, however, not all the information is true or organized.With textbooks, it is easier for students to take notes. Scientists have found that taking notes by hand helps students learn more.Textbooks are also less expensive than computers. While most families can afford textbooks, not all of them can afford a computer. Every student should be allowed to learn what he needs to learn. It’s ____51____ to rob a student of his right to learn just because he can’t afford the material.Computers are playing an important role in ____52____. They allow students to learn more. However, I don’t think they can re place textbooks. If students want to learn ___53___, they must use textbooks. Do you agree with me?Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）Do you like eating instant noodles(方便面)? The food is easy to make and cheap to buy. People have celebrated its 60th birthday this year. It was _____46____ by a Japanese businessman Momofuku Ando in 1958.China is the biggest ____47____ for instant noodles. It can be a snake for students, a meal on a train, or just a choice for ____48____ workers. More than 46.2 billion instant noodles packets were sold on the Chinese mainland and Hong Kong in 2013, a BBC article reported. But by 2016, those _____49____ had dropped to 38.5 billion packets, according to the World Instant Noodles Association.One of the reasons for the drop could be the rise of online food delivery services. They can bring you food wherever you are. They also ____50____ more choices and tastier food. According to a 2016 survey by China Youth Daily, about 70 percent of young people order meals online ____51____ once a week.In order to solve this problem, instant noodles companies are trying to ____52____ their products. They are making instant noodles with less fat and salt. They are also making new products, including self-heating hotpot and instant rice. Those can meet the needs of young people. They hope that instant noodles will be ____53____ again.Will instant noodles disappear one day? We don’t know. But they have surely left a mark on dining history.III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）The back door of the ambulance was suddenly shut and the driver ran to the front, jumped into his seat and started the engine. Inside were the worried parents, Mr. and Mrs. Green. The mother was holding their baby daughter, Ellen. The girl had some food stuck in her throat and could ____46____ breathe.The driver, Mr. White turned on his siren(警笛)and flashing light, and started speeding towards the nearest hospital, fighting against time. The cars ____47____ him pulled out of the way as he drove through the busy traffic. From the back of the ambulance, the parents were shouting at him to ____48____ since Ellen had almost stopped breathing. In front of him he saw some traffic lights with the red "Stop light shining. Mr. White knew he had no time to lose, so he drove ____49____ past the traffic lights.Coming ____50____ him from his right was a taxi. The driver was listening to his radio. He did not hear the ambulance. The ____51____were green, so he drove straight on into the path of the ambulanceMr. White tried to stop his ambulance, but it was too late. It hit the taxi. Everyone was ____52____, but no one was hurt. Mr. White looked back to see how Ellen was.“Look!" cried Mrs. Green. "She is breathing again“It must have been the crash, "said her husband happily. "It knocked the food out of her throat. The ____53____turned out to be a blessing in disguise（因祸得福）!＂Mr. White would have to explain to the police about what had happenedIII. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）My job is to study languages. Here's an interesting story about my ____46____ work.One evening. I invited a group of friends to my house, telling them that I was going to record each one’s speech and it would take only a few minutes. They sat down ____47____ nervously when they saw a microphone in front of each chair and a recorder in the middle of the floor. I explained that there was only one small ____48____ for them. That was to count from one to twenty. Then we could relax and have a drink.Each of them in turn counted from one to twenty. When it was over. I turned the recorder off and brought round the drinks. Then we started to talk and joke happily. The rest of the evening was spent ____49____in relaxation.But. in fact, I hadn’t ____50____ the microphones to the recorder in the middle of the room but to another one in the bedroom. My friends saw the recorder before them turned off and paid no more attention to the microphones a few inches from them. And w hen they were talking freely, the recorder got the most ____51____piece of talk.When the recording was over, I ____52____ to my friends for what had happened to them and asked them whether I should destroy the tape. None of them wanted me to as they knew getting excellent materials for my study was not a ____53____ job. But for some years after that, it always seemed that when it came to buying drinks, it was I who paid for them.Part 2 Phonetics, Grammar and Vocabulary （第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）Artificial intelligence (AI)(人工智能) is growing rapidly. We are living in a world that depends more on AI. AI is a group of ____46____ that help machines get, understand and use information to solve problems.AI’s recent ____47____have got a lot of social attention. Some people have welcomed AI because it makes things ____48____. For example, AI will have a big influence(影响）on areas like medicine and engineering.But this attention has also produced a lot of fear. Especially, many workers ____49____that AI could make them lose their their jobs.According to a recent study, nearly five percent of jobs will ____50____ because of AI. In some industries. AI is already doing the work that people used to do, such as assembling cars, digging the coal and lifting goods. Self-driving cars and trucks controlled by AI will also take away the driver’s jobs in the future.On the other hand, AI will also ____51____ many new chances for people. More people will be needed to write programmers for AI systems and work on them, too. Meanwhile(同时), work which requires feelings, excellent ____52____ skills with people will not be replaced by AI, such as teaching nursing and personal training.AI is here. It is changing people’s life and work ____53____ in many ways. That makes important to watch, not to fear.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）Part-time jobs are a great thing for young people. They allow teenagers and young adults to gain job experience and make ____46____ of money, too. In addition to other hobbies and activities, part-time jobs are healthy and prepare young people for ____47____ life. Of course, a part-time job should ____48____ be more important than studying and getting good grades.There are so many different part-time jobs for you to choose from. A few of the most common ones are restaurant staff, store staff and amusement park staff. These are all jobs that only ____49____ you to work between ten and twenty hours per week. They all need a minimum amount of work experience.You can easily learn how to do the job __50__ you are working. Some of these lessons are how to work with others, how to be on time and how to work hard. These are all ____51____ that you will use later in life. People who do not have part-time jobs as young adults are sometimes less prepared for life.It is great to earn money from a part-time job. The money you earn can be used to save for college, to buy a scooter or car or to eat out at restaurants. ____52____ that you earned yourself is good for teaching you the value of money. It is ____53____ to spend money that you earned than money your parents gave you.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）Mrs. Freeman is a teacher I will never forget. I ____46____ believe my teenage years were the hardest time of my life. At that time, as a girl, I hated it when my parents asked me directly about my problems, which made me very ____47____. I remember many times when Mrs. Freeman took me aside and talked to me. Every time she talked with me, I felt better.She had a way of making her class enjoyable. We always got the highest marks in maths in our grade with her _____48____. If there was a big sports game on the radio, we would drop _____49____ and she would put the game on so we could all enjoy it. That’s just the way she was.Teenagers often hear things on TV or from adults about world problems that can frighten them. Now it is terrorism(恐怖主义). Back in my teenage years, it was the Cold War. It ____50____ me so much that I thought each day could be my last. Mrs. Freeman knew how much this troubled her students. She opened the subject up for ____51____. She gave us a way to express our greatest fears an d helped us understand war and politics. “One can still feel afraid, _____52____ she or he is brave,” we were told, When I think back to those special days, I appreciate(感激) that she helped me ____53____ such a difficult time in my life.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）We’re hearing a lot these days about something called AI, or artificial intelligence. Put simply, AI is intelligence that is displayed by machines. In the beginning of computer technology, machines were ____46____ quite stupid. They could only do what people told them to do, and computers didn’t have the ____47____ to do anything complex. Slowly, that began to change. In 1989, two AI programs, Hi Tech and Deep Thought, showed advanced problem solving skills after they ____48____ human masters in the game of chess. It was then that people began to see thetrue potential(潜能) of AI.Today, AI can be used at work in our factories, online, and in our daily lives. Siri, the iPhone’s digital assistant, is a good example. Users can s ay almost anything to Siri and get a surprisingly humanlike ____49____.There are other intelligent personal assistants, like Google Assistant, which is an app that works with smart devices in your home. When it is given commands, it will connect to your other devices, allowing users to ____50____ their home appliances remotely.In late 2017, the world was ____51____ when Sophia, a human-like robot, made the news again. Dev eloped by Hong Kong’s Hanson Robotics, she was designed to work with humans and adapt to their behavior. She was interviewed by the press and was even given Saudi Arabian citizenship. And more ____52____, Sophia spoke at Brain Bar, which describes itself a s “The Biggest European Festival of the future”. It is clear from the video that Sophia continues to improve and update. The robot even says that “just a few month ago, I couldn’t tell a dog’s face from a human’s face, but now I can. It’s already saved me from a few embarrassing ____53____.”Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）The first place I can remember well was a pleasant field with a pond of clear water in it. Trees made shadows over the pond, and water plants grew at the ____46____ end. On one side was another field and on the other side we looked over a gate at our master’s house, which stood by the roadside. At the top of our field were more tall trees, and ____47____ was a fast-running stream.While I was young, I lived on my mother’s milk, but as soon as I was old enough to eat grass,my mother ____48____to work during the day and came back in the evening.There were six other young horses in the field, although they were older than I was. We all galloped (奔跑) together round the field, and had ____49____, But sometimes the others would kick and cite.“They are young farm horses and haven’t learned how to behave,” my mother told me. “You are different. Your father is well-known, and your grandfather ____50____ won the most important race at Newmarket. Your grandfather was quiet and nice, and you have never seen me kick or bite, have you? I hope you will grow up to be ____51____ and a willing worker and never bite or sick.”I have never forgotten my mother’s advice. She was a clever and sensible old horse. Her name was Duchess, but our master often called he Pet. He was a good, kind man, and my mother loved him very much. Whenever she saw him at the gate, she trotted (小跑) across. He ____52____ pat her and say. “Well, old Pet, and how is your little Darkie?” I was a dull black colour, so he called me Darkie. He sometimes brought ____53____ bread for me, or a carrot for my mother, and I think we were his favorites.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）III. Complete the following passage with the words in the box. Each word can only be used once.（将下列单词或词组填入空格，每个空格限填一词，每词只能填一次）（共8分）World Water Day is on 22 March each year. It started in 1992. Its goal is to get people and governments ____46____ one of our most precious resources. For human beings, water not only is an important resource to survive and grow, but also offers fun and pleasure. Could you imagine what the world would be like ____47____ water?Nowadays, we are facing an ____48____ number of environmental crisis(危机) such aswater pollution and water sho rtage. In India’s capital, New Delhi, millions do not have any running water.Even in richer neighborhoods, young and old wait hours for clean water. One young woman in Ghana, like many in Africa, Asia, Latin America, and elsewhere walks kilometers for wat er. “I have to collect for my family five times a day.”Something must be done to save and protect water ____49____. The special day is a day for us to know about what we have done and what we should do. I believe the environment will become better and better if we follow the spirit of the World Water Day.On the way to my company, I was driving behind a small truck. I was a few minutes late and the two men ____50____ of me were talking in that slow truck. They made me angry.The light turned green, but the truck was still moving very slowly. I became impatient, so I turned right to past it. Suddenly, a new blue Chevy Silverado was rushing by. I tried to stop, but it was to late. My car hit the side of the Chevy.“Pow!” I heard a big noise and then I realized that an accident happened. For a moment, just a moment... I asked if I was OK, and honestly, I was waiting for people to come over and help me. Those thoughts didn’t last long, as the answer came into my mind that the air bag had saved me. ___51___, I was still alive.Slowly I opened the door. The warm, bright morning sunlight ____52____ on my face and I felt better. I saw the Chevy Silverado and I ran over to check if the driver in it was injured. “Are you OK?” I shouted loudly through the window. His head was down and he didn’t answer me.At that moment, I thought I was looking at a dead man. Full of fear, I shouted again, and knocked at the window heavily once more. His eyes started to open, and he slowly ____53____ his head “Yes.” Once again, I said to myself, “How lucky I am!”。

【推荐】2019年上海市16区九年级上学期期末(一模)数学试卷分类汇编;二次函数专题-优质版

【推荐】2019年上海市16区九年级上学期期末(一模)数学试卷分类汇编;二次函数专题-优质版

第四象限内的点 D在该抛物线的对称轴上 , 如果
以点 A、 C、 D所组成的三角形与△ AOB相似 ,
求点 D的坐标；
(3) 设点 E 在该抛物线的对称轴上 , 它的纵坐标是 1,
联结 AE、BE, 求 sin ∠ABE.
金山区
24．（ 本题满分 12 分，每小题 4 分 ）
平面直角坐标系 Oy中（如图），已知抛物线 y=a2+b+3 与 y 轴相交于点 C，与轴正半轴相交于点 与轴的另一个交点为 B，对称轴是直线 =1，顶点为 P．
y P
E D
AO
B
徐汇区
C
20．（本题满分 10 分，第（ 1）小题满分 5 分，第（ 2）小题满分 5 分）
M
已知一个二次函数的图像经过 A(0, 6) 、 B(4,
（ 1）求这个二次函数的解析式；
（ 2）分别联结 AC、 BC，求 tan ACB .
6) 、 C (6,0) 三点 . (第 24 题图 ) y
y
松江区
AO
B
x
C
图9
19. （本题满分 10 分，每小题各 5 分）
如图，已知平面直角坐标系 xOy 中， O为坐标原点 . 二次函数
2
y x bx c 的图像经过点 A（ 3， 0）、点 B（ 0,3 ） , 顶点为 M． （ 1）求该二次函数的解析式； （ 2）求∠ OBM的正切值 .
24. （本题满分 12 分，每小题各 4 分） 如图，在平面直角坐标系 Oy 中，抛物线 y=2+b+c 的对称轴为直线 =1，抛物线与轴交于 A、 B 两点（点 A 在
上海市 16 区九年级上学期期末（一模）数学试卷分类汇编

2019届上海各区初三英语一模试卷题型分类专题汇编--阅读理解--老师版(带答案纯净word已校对终

2019届上海各区初三英语一模试卷题型分类专题汇编--阅读理解--老师版(带答案纯净word已校对终

One【2019届上海市虹口区初三英语一模试题】VI. Reading comprehension（阅读理解）（共50分）A.Choose the best answer（根据短文内容，选择最恰当的答案）（共12分）Who has seen Yeti?This mysterious human-like animal lives in and around Asia’s high Himalayan Mountains.Or does he?For years,stories of the Yeti have attracted the interest of explorers and adventurer from around the world. In the local cultures of the Himalayan people, old stories of the famous Yeti are everywhere. Many stories say the Yeti is not an animal, but perhaps a half-ape(半猿), half human intelligent animal. No one can say for sure. What we do only know is that the Yeti is a powerful mix of fact and fiction.Over150years ago,Europeans curious about the Yeti began to enter China.They were looking for something to prove that the Yeti existed. They hoped the photograph, or maybe even catch,a real-life Yeti.Over the years,many explorers saw large unexplained foot prints in the snow. Several European climbers even reported seeing a hairy, ape-like animal from a distance.The search for the Yeti didn’t become so popular alter. Yeti fur “found” by various climbers was examined by scientists and proved to be unreal. People began to question the existence of the Yeti.In1998,the Chinese government had to stop some activities of a nature reserve(保护区) which was doing great business by inviting tourists to buy tickets and hunt the Yeti. The reserve even offered large prices for anyone lucky enough to catch a Yeti!Clearly,basic human curiosity(好奇心) keeps the Yeti myth alive today. Plenty of unexplained footprints, bodies and stories continue to feed out curiosity as well. However, nobody can prove exactly whether the Yeti exists or not.69. Explorers and adventurers from around the world want to know more about the Yeti because ________.A. the Yeti is harmful to human beings.B. they are interested in stories of the Yeti.C. they want to make a living by hunting the Yeti.D. the Yeti lives in and around Asia’s high Himalayan Mountains.70. The underlined word“fiction” in Paragraph 1 probably means“_______”.A. stories people imagine C. reasons people explainB. opinions people haveD. things people complain about71. People began to think the Yeti may not exist _______.A. when Europeans curious about the Yeti decided to enter ChinaB. before the Chinese government had to stop some activities of a nature reserveC. after Yeti for“found”by various climbers was proved not trueD. when several European climbers failed to photograph a real-life Yeti72. The reserve invited tourists to hunt the Yeti in order to ________.A. make money C. do experimentsB. prove Yeti’s existence D. make itself famous73. Which statement is true according to the passage?A.It is certain that Yeti is a human-like animal which lives in and around Himalayan Mountains.B.It is proved that several European climbers really saw a hairy,ape-like animal from a distance.C. It is allowed by the Chinese government to hunt the Yeti for research in a nature reserve.D. It is human curiosity that has spread the stories of the Yeti for over a century.74. The best title of the passage might be ________.A. Yeti HuntingB. Unexplained FootprintsD. Human CuriosityC. A mountain MythKeys:69. B70. A71. C72. B73. D74. CTwo【2019届上海市黄浦区初三英语一模试题】VI. Reading comprehension（阅读理解）（共50分）A.Choose the best answer（根据短文内容，选择最恰当的答案）（共12分）For his eleventh birthday,Lin was given a gift that would shape his life.On that day his father took him to the Children’s Activity Centre and said he could choose any course that interested him. There was just one requirement: Lin would have to promise to study it for at least one year.To that point Lin had had many hobbies, but none kept his interest for more than a week or two. His mum once gave him a bag of stamps to encourage stamp collecting. That hobby lasted a week.Then his father got him some paints hoping that Lin's artistic side would shine through. Those paints were now under his bed,still unopened.This time Lin’s parents would let him decide.Lin’s eyes moved down the noticeboard that listed all the courses on offer.He stopped at “Photography”. He liked the idea of taking beautiful pictures but the notice said that each student needed their own camera.Although Lin’s family weren't poor,they weren’t rich either,and a camera cost a lot of money. He continued looking.The next course to catch his eye was “Language Art”. He didn’t even know what that meant. His father explained that it taught people how to make public speeches. Lin, a shy boy, could think of nothing worse.Then he saw it. “Cooking” sounded like something he’d like to do. It was inexpensive and convenient, it could be done alone and it was also creative.Based on Lin’s hobby history, his dad had doubts(疑惑), but he agreed. Much to his parents' surprise, Lin kept his promise. He studied cooking at the Centre every Saturday, and practised at home, making delicious meals for his family. Everyone looked forward to birthdays, when they could eat his cakes. Lin got great satisfaction from the pleasure his food brought to others.The months turned to years but his hobby never changed again.Now Lin is an adult and runs a successful restaurant.When customers say they enjoy his meal, he still gets the same pleasure he did as a child, and remembers the special gift he received all those years ago.69. What hobby didn’t Lin try according to the passage?A. Cooking C. PaintingB. Collecting stampsD. Making public speeches70. Why didn’t Lin choose to study photography?A. It was too expensive C. He had no interest in itB. He was not very creative D. It was not offered that term71. The underlined expression“catch his eye”in Paragraph 4 means“_________”.A. make him excitedB. cause him surpriseC. get his attentionD. help him see clearly72. Which of the following best describes Lin’s interest in cooking?A. It only lasted for a short time.C. It was chosen by his parents. B. It seemed to match his character.D. It developed slowly over many months.73. Why did the father have doubts when Lin chose cooking?A. Lin wasn’t good at cooking.C. He didn’t think Lin would continue.74.What’s the best title for the passage?A. A Strict FatherB. The Fun of Cooking D. The Birthday Gift B. Cooking wasn’t very convenient.D. Cooking wasn’t a good hobby for a boy.C. A Changeable Boy Keys:69-74DACBCDThree 【2019届上海市浦东新区初三英语一模试题】VI. Reading comprehension （阅读理解）（共50分）A.Choose the best answer （根据短文内容，选择最恰当的答案）（共12分）ArtPainting by NumbersThis is a colorful set which will help you to paint like a real artist. Each color has a number and the numbers are on the picture for you to follow. Painting beautifully has never been easier.Everyone will think you are the next teenage genius. Of course, it’s up to you whether you tell them how you did it so well!GameGYAThis game will keep your fingers busy all day. You have to press the lights when the light up.Do you think it sounds easy? Well, think again because it is actually very difficult. If you miss a lot of lights, you’ll lose the game. You will not be able to put this game down. Instead, it will push you beyond your limits and test the use of your fingers.BookChasing V ermeerIf you like who-done-it polite stories to get your brain working,then‘chasing Vermeer’is your perfect read. It’s a mystery story about math shapes. Two children, called Calder and Petra, try to find out where an expensive Vermeer painting was. Vermeer was a famous artist. This book will make you read all night!Plus,the pictures are wonderful.Look at each picture carefully. There is something hidden in each one.PhoneVerballsThis might book like a cute boy, but it’s a talking Internet phone. Just pl ug your Verballs into your USB port on our computer and you can phone all your friends for free, all around the world! Verballs are not only useful, they’re also fun! When your friend speaks, your Verball’s lights flash and his arms wave.69. The colorful set called Painting by Numbers allows you to be ________.A. a real artistB. a teenage geniusC. a good painterD. a fashion designer70. The underlined word “it” in the article “Game” probably refers to ________.A. missing the lights C. turning off the lightsB. pressing the lights D. lighting up the lights71. Chasing Vermeer tells a story about finding out the missing _________.A. artistB. bookC. childrenD. painting72. Chasing Vermeer is a kind of book except a(n) _________.A. police storyB. art bookC. picture bookD. mystery story73. To communicate with a pen friend in another country, you will be interested in _________.A. Verballs C. GYAB. Painting by numbers D. Chasing V ermeer74. The passage mainly introduces us some _________.A. ideas in science fieldB. courses in educationC. produces in daily life Keys:69-74CBDBACD. examples in technology.Four 【2019届上海市长宁区初三英语一模试题】VI. Reading comprehension （阅读理解）（共50分）A.Choose the best answer （根据短文内容，选择最恰当的答案）（共12分）A girl in my street always bullied me and she made me lose all of my friends. Itried everything but she would not stop. I tried making any friends because mostpeople already through I was strange. Then I called Young Minds and a man gavereally good advice and she did not bully me ever again.I have large eyes and I get bullied because of it. It started Year I and since then Ihave been upset about it.Just a week ago I saw a Young Minds advertisement online. I called the numberand then I talked to a lady.After the 54-minute talk I finally felt great aboutmyself. I am happy I called them and I wish I had done it before.I stoop up to allof those awful people and the bullying has stopped. I really look forward togoing to school now.I was getting bullied, but I didn’t feel comfortable talking to my parents becausethey weren’t helping me and being supportive.So I talked to an amazingcounselor and it has changed my life.I was so happy to be able to talk tosomeone who listened. Thank you Young Mind s and thank you Miranda Kerr.I called because I was getting bullied by a Grade 7 kid and I’m in Grade 8. Iwasn’t sure how to deal with it and I called Young Minds.They are reallysupportive and I spoke to a really nice counselor named Pammy. So don’t beafraid to call Young Minds. Pick up your phone and call.69. The man in Young Minds probably gave Mary advice on how to _________.A. make friendsB. change her personalityC. deal with bullyingD. bully the girl in the street70. Joanna got to know about Young Minds from ___________.A. a newspaperB. a magazineC. the TVD. the Internet71. From the s entence“I stood up to all of those awful people”,we know that _________.A. Joanna used to go to school very happilyB. Joanna fought against being bulliedC. Joanna was brave before she talked to a ladyD. Joanna felt upset to meet such awful72. The underlined word“an amazing counselor”means“__________”.A. a great friendB. a guide teacherC. a good playerD. a nice writer73. From Belinda, we know that _________.A. she is a grade-7 kidB. she was afraid of going to schoolC. she was brave enough to call Young MindsD. she could deal with the bully on her own74. Which of the following is NOT TURE from the passage?A. Mary was thought to be strange because she used to bully many people.B. Joanna expected to return to school when the bully to her ended.C. Miranda Kerr worked for Young Minds and helped Tracy out of being bullied.D. If you want to get help from Young Minds,please call.Keys:69-74CDBBCAFive【2019届上海市徐汇区初三英语一模试题】VI. Reading comprehension（阅读理解）（共50分）A.Choose the best answer（根据短文内容，选择最恰当的答案）（共12分）It’s a cold, grey Sunday afternoon in March. The light is slowly fading, but all over Britain people are working in their gardens. They’re digging, cutting leaves and planting new weeds. By summer, their gardens will be full of bright colors.The British love their gardens. A British newspaper recently asked people for their opinions about them. Seventy percent of people felt it was important to spend time in the garden, and cover half of these described gardening as the most enjoyable thing they ever did.Only one in ten houses in Britain do not have a garden. You can, of course, just grow house plants inside or on your balcony.Once it was only the very wealthy who had a garden. You can still see the huge gardens that surround historic houses such as Chatsworth House or Castle Howard. Ordinary people used their land to produce food to eat or sell, or grew herbs to make medicine.In the nineteenth century, however, gardening became a hobby. About the same time,better transport meant people could buy different kinds of seeds and plants for their gardens. Although roses, sunflowers, onions and tomatoes are often grown in British gardens, they grew wild in other countries before.In many villages and gowns there are competitions for the best looked-after gardens.This year the winner was a little village in Northern Ireland. It’s already won four prizes for its beauty. People also take part in competitions to grow the largest vegetables,but don’t expect to win. Britain’s biggest carrot is almost six meters long!A newspaper asked people what they grew in their gardens. Look at the diagram which shows their answers.69. Most of the British love to spend time in _________.A. fishingB. huntingC. gardeningD. farming70. Only ________ houses in Britain don’t have a garden.A. 10%B. 20%C. 50%D. 70%71. Chatsworth House and Castle Howard are examples to show that _________.A. people feel it important to spend time in the gardenB. only rich people had a garden in old daysC. the big gardens have lasted for a long timeD. there are vegetables and plants in the gardens72. The winner of the competitions for best gardens this year was from ________.A. EnglandB. WalesC. Northern IrelandD. India73. According to the diagram, more people prefer to grow ________ than potatoes.A. rosesB. tomatoesC. herbsD. strawberries74. The underlined words“better transport” refers to the following except ________.A. by trainB. by seaC. by carD. by bike Keys:69-74CABCADSix【2019届上海市闵行区初三英语一模试题】VI. Reading comprehension（阅读理解）（共50分）A.Choose the best answer（根据短文内容，选择最恰当的答案）（共12分）The following is an online restaurant guide with customer reviews.Hungry Harry’s Restaurant GuideThe Green Shadow-vegetarian food health specialistsAddress:40 King’s Road, Hong KongBusiness hours: 11:30 a.m. to 9:30 p.m. (Monday to Saturday)This vegetarian restaurant is above a popular gym with lots of healthy eaters. You can hear soft music and see lots of green plants near the reception area,plus a fountain trickles(滴) peacefully in a corner. The waiters all know how to recommend dishes that suit a customer’s blood type.Customer reviewsI go there often. The helpful waiters always recommend delicious dishes, like pumpkin soup with healthy wheat bread.The atmosphere is cosy, but the food is expensive. The waiters are little arrogant(自大的）；they think they know everything about food. Anyway, how many more vegetarian restaurants does this city need?The Enchanted(令人陶醉的) Cafe--a fantasy theme steakhouseAddress: 78 Party Lane, Hong KongBusiness hours:11a.m. to 10 p.m. (Sunday to Saturday)The restaurant looks like the inside of an old castle, with dim lighting and mysterious music. Waitresses serve burgers and steaks in witch(女巫) costumes. They also do magic tricks. Customer reviewsThe Enchanted Cafe is such a fun place to visit,and the food is really tasty too!The mushroom burgers are pure magic! Yum!I don’t care how much the food costs; the performing waitresses are worth the visit! You can also eat some amazing cakes there.Rock and Roll Pizza House --- traditional pizza served with a smileAddress:55 North Avenue, Hong KongBusiness hours:1.30 p.m to 11:30 p.m (Sunday to Saturday)An American-style restaurant serves fresh pizza with a variety of toppings. The waiters go from table to table on roller skates in their bright red uniforms. Customers can enjoy some golden oldies(老歌) from the 1950s in a friendly atmosphere.Customer reviewsThey don’t have any garlic! What kind of place has no gar lic? I also asked for some extra cheese on my pizza, but I didn’t get any. The service there was horrible!I can’t tell you how many times a waiter stumbled(绊倒)while serving the pizza.It is dangerous! They don’t sell any good drinks either.70. You can go to ________ for lunch at 11:00 a.m. on Sunday.A. Hungry HarryC) The Enchanted Cafe B. The Green ShadowD) Rock and Roll Pizza House71. The underlined word “cosy” in Line 14 means “________”.A. heavyB. changeableC. comfortableD. amusing72. At Rock and Roll Pizza House, ________.A. there are a lot of green plants near the reception area.B. waitresses serve burgers and steak in which costumes.C. waiters all know how to recommend delicious food.D. customers can enjoy some golden oldies from the 1950s.73. The underlined word “It” in the last paragraph refers to “_________”A. Not having garlicB. Serving food on roller skatesC. Asking for extra cheese D) Selling any good drinks74. According to the online restaurant guide, which one of the following is NOT true?A. All three restaurants received positive reviews.B. Two of the restaurants open seven days a week.C. The Rock and Roll Pizza House has the music from the 1950s.D. The Green Shadow does not serve steak.Keys: 70-74 CCDBASeven【2019届上海市奉贤区初三英语一模试题】VI. Reading comprehension（阅读理解）（共50分）A.Choose the best answer（根据短文内容，选择最恰当的答案）（共12分）In many countries, pets are well loved. In America, 95 percent of pet owners think of their animals as family members. About half buy them birthday gifts. And it’s a two-way stree t. People who have pets tend to have lower blood pressure. They also have a lower heart-disease risk.Scientists are finding more and more evidence that animals can also help improve mental health.Some clinics have been using“pit therapy”(宠物疗法)alongside traditional medicine. Here is a look at some of the cures.RabbitsIn one study, scientists told a group of stressed-out adults to pat a rabbit and rabbit toy. The toy had no effect. Touching the living rabbit, however, reduced anxiety(焦虑).Crickets(蟋蟀)Animals don’t have to be soft and lovely to help. In a 2016 study, elderly p eople who were given five crickets in a cage felt happier after eight weeks. The act of caring of an animal seemed to make the difference.HorsesHorses are among the most-studied therapy animals. In Europe, they have been involved in medial treatment plans since the1860s.Activities like brushing the fur of a horse have been shown to reduce anxiety in people of all ages.FishOne of the study focused on people who had Alzheimer’s disease(阿尔兹海默氏病). When they dined in front of a tank of colorful fish, they ate more.DogsChildren who struggle with reading are less anxious when they read aloud to a trained dog. Their attitudes change and their skills improve.69. About _________ of pet owners in America buy their pets birthday gifts.A. one-thirdB. 50 percentC. 95 percentD. three quarters70. The underlined phrase “two-way street” (in paragraph 1) means “__________.”A. Pets can reduce not only their owners’ blood pressure but also their risk of heart disease.B. Pets can improve not only their owners’ physical health but also their mental healthC. Pets are well loved both in the East and in the WestD. People love pets, and pets do their owners lots of good71.According to the passage,people who were given crickets felt happier after a few weeks because ________.A. the ate moreB. they spent time caring for an animalD. they changed their attitudesC. they exercised more72. Horses have been involved in medical treatment plans _________ in Europe.A. since the 1680s C. since 1860B. for more than two centuries D. for about 160 years73. Children who have difficulty reading become less anxious when _________.A. they play with rabbitsC. they are given some crickets B. they read in front of a tank of colorful fishD. they read aloud to a trained dog74. The main idea of the passage is that __________.A. pets are well loved in many countriesB. pets can improve people’s physical healthC. pets have been used to help cure mental illnessD. it is still a mystery whether keeping pets brings benefits Keys:69-74BBBDDCEight【2019届上海市静安区初三英语一模试题】VI. Reading comprehension（阅读理解）（共50分）A.Choose the best answer（根据短文内容，选择最恰当的答案）（共12分）It was a cold winter night when the police officer Lee and the detective Smith were walking back to the police station. They saw a robber attacking an old woman on the road. Lee and Smith ran over to the robber immediately.The robber saw them and ran away as fast as he could. Lee and Smith followed him for a long distance until the robber rushed into an underground station.Lee and Smith ran into the station and tried to find him. It was quite dark outside that night and they couldn’t see the robber clearly. But they remembered what his body shape was like.When they went in, they saw six men in the station. All of them had the similar build as the robber. Lee looked at them carefully, one by one.The first man was arguing with an underground station worker.He seemed to be very depressed.The second one was watching the fight between the first man and the worker. It seemed like he was quite interested in it.The third one was quietly reading a newspaper. His face was hidden behind the newspaper.The fourth one was running to warm himself up, as it was cold in the station.The fifth one was waiting for the underground.He looked at his watch several times.He seemed to be in a hurry.The sixth one was wearing a big coat, sitting on a bench and shivering.Lee finally found out which one the robber was. He whispered to Smith. “Look! The robber wanted to cover up his panting(气喘吁吁) by doing this.”69. As soon as Lee and Smith saw the robber attacking and old woman, they ________.A) walked back to the police station C) ran into the underground station B) ran to catch the robber D) kept away from the robber70. The robber rushed into the underground station to ________.A) escape from them B) meet his friends C) rob others D) take an underground71. The underlined word “depressed” in Paragraph 4 means “________”.A) relaxed B) unhappy C) thoughtful D) comfortable72. The six men in the underground station all had the similar _________.A) hair B) height C) body shape D) age-group73. According to Lee, ________was the robber.A) the first man B) the second man C) the fourth man74. What’s the best title for the article?A) A dramatic robbery.C) The proud policeman Keys:69-74BABCCD B) The clever detectiveD) The hidden robberD) the sixth manNine【2019届上海市崇明区初三英语一模试题】VI. Reading comprehension（阅读理解）（共50分）A.Choose the best answer（根据短文内容，选择最恰当的答案）（共12分）Ray’s wedding(婚礼) was successful. Everyone seemed to have had a good time. All evening, no one looked after the gift table.Who would steal anything,Ray thought.But his best friend Aaron didn’t think so.He walked away regularly from other guests to check on the gift table, making sure no one suspicious(可疑的) was hanging around it.Ray and Julia went on a three-week honeymoon after the wedding. When they got back, they opened all the gifts and sent out thank-you notes. But there was one problem. A married couple, Walt and Marry, had given nothing. This surprised Julia. Ray didn’t care if they hadn’t given a gift. He just needed to know whether to send a thank-you note. Ray called Aaron.Aaron ask ed Ray if he had looked everywhere for Walt’s gift. Had he called up the wedding site to see if anything had been left behind? Ray said that he had looked everywhere and made alot of calls that were fruitless.Ray didn’t know what to do. “What would you do?” Ray asked Aaron. Aaron said he would call Walt up and tell him the problem. " You can't go wrong with simply being honest, " Aaron said Ray called Walt and told him the problem. Walt said that yes, he had given an envelope with $500 cash（现金）in it.$500?! Ray said in surprise. That’s a lot of cash, Walt! "Walt admitted that it was, but he had gotten a fat raise early that year and Rays wedding was the only one he’d been to in quite a while. Ray thanked him and also apologized, Walt told him that it was"only money.”When Ray told Aaron about Walt’s gift, Aaron laughed. "The only thief at the wedding was Walt! I have already stopped playing cards with him because I caught him cheating. And it was only a $10 pot (赌注总额）！I’ m sure I told you about that.”“Ye s,you did tell me,"Ray said.But,of course,he had to send Walt a thank-you note anyway.69. Aaron regularly went to check on the gift table to make sure that __________.A) the guests all had a good time C) no one would steal the gift B) the wedding was successful D) someone was looking after Ray70. When Ray and Julia got back from a three-week honeymoon, __________.A) they started to send out thank-you notesB) a married couple, Walt and Marry, called themC) Julia was surprised because Aaron called herD) Aaron wanted to send a thank-you note to Walt71. The underlined word“fruitless” in the third paragraph refers to the calls that__________.A) told Ray the gift had been found C) helped Ray to find out the thief B) helped Ray to buy a lot of fruits D) told Ray nothing had been found72. When Aaron says "You can’t go wrong with simply being honest, "he means that__________.A) Ray would certainly know the truth if he simply told Walt the problemB) Ray would be wrong if he told Walt and Marry about the missing giftC) Julia shouldn't care too much if Walt and Marry hadn't given a giftD)Walt and Marry had actually given an envelope with $500 cash in it73. Which of the following statements is TRUE according to the passage?A) Walt denied that he had given an envelope with $500 cash in itB) Ray was not surprised when he heard what Walt had told himC)Ray apologized to Walt but he didn’t send him a thank-you noteD)Aaron laughed because he knew what kind of person Walt was74. Which of the following might be the best title for the passage?A) Rays Wedding B) A Wedding GiftC) Aaron's ProblemD)A Phone Call to WaltKeys:69-74CADADTen【2019届上海市普陀区初三英语一模试题】VI. Reading comprehension（阅读理解）（共50分）A.Choose the best answer（根据短文内容，选择最恰当的答案）（共12分）The Earth is faced with a serious power problem now and all of us are affected by it. Should we leave everything to the government, or can we do something to save power? The answer is clear if not us. who? Let us look at how you can save power at home.Computer. More often than not. we do not turn off our monitors(显示屏) even after we have shut down our computers.And we often leave our computers on when we walk away to do something else. Keep the monitor and the computer switched off when you are not using them. Start doing this even when at work. You will help save some of the earth's important power.Air Conditioning: Put the temperature at the minimum or maximum strongest that you are comfortable with, depending on the season. Try not to put it at too-high or too-low temperatures. This helps you save lots of power.Washers:Do you use your washing machine as frequently as you wish?Do you use your washing machine even when there are not many clothes to wash? Reduce the times of washing by cleaning plenty of clothes every week.Television: Unplug(拔出抽头) the power plug of your television set when not using it. This may not sound like a big deal but this little step will help oneself save power.Fridge: Do you always put hot food into the fridge? Bring cooked food to room temperatures before placing it into the fridge. You can also spare power by bringing cold or frozen food out of the icebox a great deal ahead of the mealtime. Thus, you don’t need to heat it.69.The underlined part in the first paragraph means“_________”A. if we don't use power, who will use it?B. The government should be responsible for saving power.。

2019年上海各区初三英语一模试题分题型汇总(作文)

2019年上海各区初三英语一模试题分题型汇总(作文)

2019年上海各区初三英语一模试题分题型汇总(作文)注意事项：认真阅读理解，结合历年的真题，总结经验，查找不足！重在审题，多思考，多理解！长宁区初三英语第一学期期末质量抽查试卷VII.Writing(作文)：(共20分)Writeatleast60wordsaboutthetopic“Everybodyneedshelp”.(以“每个人都需要帮助”为题写一篇不少于60个字的短文，标点符号不占格。

)(注意：短文中不得出现考生的姓名、校名及其它相关信息，否那么不予评分。

) Usethefollowingpointsasareference.(以下问题仅供参考)?Doyouagreethateverybodyneedshelp??Haveyouevergothelpfromothers?(Tellyourexperiences.)?Whatdoyoudowhenotherpeopleareintrouble?(Giveexamples.)宝山区初三英语第一学期期末质量抽查试卷Writingapassageofatleast60wordsonthetopic“WhatDoYouThinkofOwingaPrivateCar?”(以“你对拥有私家车的看法”为题，写不少于60个词的短文)〔注意：短文中不得出现考生的姓名，校名以及其他相关信息，否那么不予评分〕Usethefollowingpointsasareference.(以下问题仅供参考)1.whatistheadvantageofowingaprivatecar?2.whatisthedisadvantageofowingaprivatecar?3.what’syouropinion?(注意：短文中不得出现任何人名，校名及其其他相关信息，否那么不予评分)崇明县初三英语第一学期期末质量抽查试卷Writeatleast60wordsaboutthetopic“MyLifeasaJuniorThreeStudent”.(以“我的初三生活”为题写一篇不少于60个字的短文，标点符号不占格。

2019年上海嘉定九年级一模数学试卷(含答案)

2019年上海嘉定九年级一模数学试卷(含答案)

2019年上海嘉定九年级一模数学试卷(含答案)一、选择题:(本大题共6题；每题6分；满分24分)1、已知线段a 、b 、c 、d ；如果ab =cd ；那么下列式子一定正确的是（ ）..d c =b a (D) ; b d =c a (C) ;c b =d a (B) ；d b =c a (A) 【解答】C2、在Rt △ABC 中；∠C =90°；AB =6；AC =b ；下列选项一定正确的是（ ） （A ）b =6sinA ； （B ）b =6cosA ; ( C ) b =6tanA ; ( D )b =6cotA . 【解答】B3、抛物线y =2(x +1)2—2与y 轴的交点的坐标是（ ）（A ）（0；-2）； （B ）（-2；0）; ( C ) （0；-1） ; ( D )（0；0）. 【解答】D4. 如图1；在平行四边形ABCD 中；点E 在边DC 上；联结AE 并延长交BC 的延长线于点F ；若AD =3CF ；那么下列结论中正确的是（ ）（A ）FC ：FB =1：3 （B ）CE ：CD =1：3 （C ）CE ：AB =1：4 （D ）AE ：AF =1：2 A DEB C F【解答】C5. 已知矩形ABCD 的对角线AC 与BD 相交于点O ；如果a BC =；b =DC ；那么BO 等于（ ）（A ）();21b a - （B ）();21b a + （C ）();b 21a - （D ）b a -【解答】A6. 下列四个命题中；真命题是（ ）（A ）相等的圆心角所对的两条弦相等 （B ）圆既是中心对称图形也是轴对称图形（C ）平分弦的直径一定垂直于这条弦 （D ）相切两圆的圆心距等于这两圆的半径之和 【解答】B二、填空题：(本大题共12题；每题4分；满分48分)7．已知点P 在线段AB 上；且AP : BP=2 : 3；那么AB:PB=_____. 【解答】5:38．计算：+6)-4=______. 【解答】-2-39．如果函数y=(m-2)+2x+3 (m 为常数) 是二次函数；那么m 取值范围是______. 【解答】10. 抛物线2y 43x x =++向下平移4个单位后所得的新抛物线的表达式是_________。

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金山区2018学年第一学期初三期末质量检测数学试卷（满分150分，考试时间100分钟）（2019．1）考生注意：1．本试卷含三个大题，共25题；2．务必按答题要求在答题纸规定的位置上作答，在草稿纸、本试卷上答题一律无效；3．除第一、二大题外，其余各题如无特别说明，都必须在答题纸的相应位置上写出证明或计算的主要步骤．一、选择题：（本大题共6题，每题4分，满分24分）【下列各题的四个选项中，有且只有一个选项是正确的，选择正确项的代号并填涂在答题纸的相应位置上．】 1．下列函数是二次函数的是（ ） A ．x y = B ．x y 1=C ．22x x y +-= D ．21xy = 2．在ABC Rt ∆中，o90=∠C ，那么B ∠sin 等于（ ） A ．AB AC B ．AB BC C ．BC AC D ．ACBC3．如图，已知BD 与CE 相交于点A ，BC ED //，8=AB ，12=AC ，6=AD ，那么AE 的长等于（ ）A ．4B ．9C ．12D ．164．已知是一个单位向量，、是非零向量，那么下列等式正确的是（ ） A = B = C = D =5．已知抛物线()02≠++=a c bx ax y 如图所示，那么a 、b 、c 的取值范围是（ ）A ．0<a 、0>b 、0>cB ．0<a 、0<b 、0>cC ．0<a 、0>b 、0<cD ．0<a 、0<b 、0<c第3题图ABCDEABC第6题图6．如图，在ABC Rt ∆中，o 90=∠C ，2=BC ，60=∠B ，⊙A 的半径为3，那么下列说法正确的是（ ）A ．点B 、点C 都在⊙A 内 B ．点C 在⊙A 内，点B 在⊙A 外 C ．点B 在⊙A 内，点C 在⊙A 外D ．点B 、点C 都在⊙A 外 二、填空题：（本大题共12题，每题4分，满分48分） 【请直接将结果填入答题纸的相应位置】7．已知二次函数()132+-=x x x f ，那么()=2f ．8．已知抛物线1212-=x y ，那么抛物线在y 轴右侧部分是 （填“上升的”或“下降的”）． 9．已知25=y x ，那么=+yy x ． 10．已知α是锐角，21sin =α，那么=αcos ． 11．一个正n 边形的中心角等于18，那么=n ．12．已知点P 是线段AB 上的黄金分割点，BP AP >，4=AB ，那么=AP ． 13．如图，为了测量铁塔AB 的高度，在离铁塔底部（点B ）60米的C 处，测得塔顶A 的仰角为30，那么铁塔的高度=AB 米．14．已知⊙1O 、⊙2O 的半径分别为2和5，圆心距为d ,若⊙1O 与⊙2O 相交，那么d 的取值范围是 ．15．如图，已知O 为ABC ∆内一点，点D 、E 分别在边AB 和AC 上，且52=AB AD ，BC DE //，设b OB =、c OC =，那么=DE （用b 、c 表示）．16．如图，已知⊙1O 与⊙2O 相交于A 、B 两点，延长连心线21O O 交⊙2O 于点P ，联结PA 、PB ，若60=∠APB ,6=AP ，那么⊙2O 的半径等于 ．17．如图，在ABC ∆中，AD 、BE 分别是边BC 、AC 上的中线，5==AC AB ，54cos =∠C ，那么=GE ．ABC第13题图 BACDEO第15题图第20题图18．如图，在ABC Rt ∆中，o90=∠C ，8=AC ，6=BC ．在边AB 上取一点O ，使BC BO =，以点O 为旋转中心，把ABC ∆逆时针旋转90，得到C B A '''∆（点A 、B 、C 的对应点分别是点A '、B '、C '），那么ABC ∆与C B A '''∆的重叠部分的面积是 ．三、解答题（19—22题，每题10分，23—24每题12分，25题14分，共78分）19．计算：30sin 45cot 60ta 60sin 230cot 45cos 22⋅-+-n ． 20．已知二次函数542--=x x y ，与y 轴的交点为P ，与x 轴交于A 、B 两点．（点B 在点A 的右侧）（1）当0=y 时，求x 的值．（2）点()m M ,6在二次函数542--=x x y 的图像上，设直线MP 与x 轴交于点C ，求MCB ∠cot 的值．21．如图，已知某水库大坝的横断面是梯形ABCD ，坝顶宽AD 是6米，坝高24米，背水坡AB 的坡度为1：3，迎水坡CD 的坡度为1：2． 求（1）背水坡AB 的长度． （2）坝底BC 的长度．22．如图，已知AB 是⊙O 的直径，C 为圆上一点，D 是BC ⌒的中点，AB CH ⊥于H ，垂足为H ，联结OD 交弦BC 于E ，交CH 于F ，联结EH . （1）求证：BHE ∆∽BCO ∆．（2）若4=OC ，1=BH ，求EH 的长．P第16题第21题图ABCD1:31:2G A BCD E第17题C第18题E BAOC FHD23．如图，M 是平行四边形ABCD 的对角线上的一点，射线AM 与BC 交于点F ，与DC 的延长线交于点H ．（1）求证：MH MF AM ⋅=2．（2）若DM BD BC ⋅=2，求证：ADC AMB ∠=∠．24．已知抛物线c bx x y ++=2经过点()6,0A ，点()3,1B ，直线1l ：()0≠=k kx y ，直线2l ：2--=x y ，直线1l 经过抛物线c bx x y ++=2的顶点P ，且1l 与2l 相交于点C ，直线2l 与x 轴、y 轴分别交于点D 、E .若把抛物线上下平移，使抛物线的顶点在直线2l 上（此时抛物线的顶点记为M ），再把抛物线左右平移，使抛物线的顶点在直线1l 上（此时抛物线的顶点记为N ）． （1）求抛物线c bx x y ++=2的解析式．（2）判断以点N 为圆心，半径长为4的圆与直线2l 的位置关系，并说明理由．（3）设点F 、H 在直线1l 上（点H 在点F 的下方），当MHF ∆与OAB ∆相似时，求点F 、H 的坐标（直接写出结果）．25．已知多边形ABCDEF 是⊙O 的内接正六边形，联结AC 、FD ，点H 是射线AF 上的一个动点，联结CH ,直线CH 交射线DF 于点G ，作CH MH ⊥交CD 的延长线于点M ，设⊙O 的半径为()0>r r ．（1）求证：四边形ACDF 是矩形．（2）当CH 经过点E 时，⊙M 与⊙O 外切，求⊙M 的半径（用r 的代数式表示）．（3）设()900<<=∠ααHCD ，求点C 、M 、H 、F 构成的四边形的面积（用r 及含α的三角比的式子表示）．第24题第25题备用图 A BCD HF M第23题普陀区2018学年度第一学期初三质量调研数 学 试 卷（时间：100分钟，满分：150分）考生注意：1．本试卷含三个大题，共25题．答题时，考生务必按答题要求在答题纸规定的位置上作答，在草稿纸、本试卷上答题一律无效．2．除第一、二大题外，其余各题如无特别说明，都必须在答题纸的相应位置上写出证明或计算的主要步骤．一、选择题：（本大题共6题，每题4分，满分24分）[下列各题的四个选项中，有且只有一个选项是正确的，选择正确项的代号并填涂在答题纸的相应位置上]1．已知二次函数2(1)3y a x =-+的图像有最高点，那么a 的取值范围是（ ） （A ）0a >； （B ）0a <； （C ）1a >； （D ）1a <．2．下列二次函数中，如果图像能与y 轴交于点A ()0,1，那么这个函数是（ ） （A ）23y x =； （B ）231y x =+；（C ）231()y x =+； （D ）23y x x =-． 3．如图1，在△ABC 中，点D 、E 分别在△ABC 的边AB 、AC 上，如果添加下列其中之一的条件，不一定能使△ADE 与△ABC 相似，那么这个条件是（ ） （A ）AED B ∠=∠； （B ）ADE C ∠=∠； （C ）AD AE AC AB =； （D ）AD DEAB BC=． 4．已知a →、b →、c →都是非零向量，如果2a c →→=，2b c →→=-， 那么下列说法中，错误的是（ ）（A ）a →∥b →； （B ）||||a b →→=； （C ）0a b →→+=； （D ）a →与b →方向相反．5．已知⊙1O 和⊙2O ，其中⊙1O 为大圆，半径为3．如果两圆内切时圆心距等于2，那么两圆外切图1EABD时圆心距等于（ ）（A ）1； （B ）4； （C ）5； （D ）8．6．如图2，在△ABC 中，点D 、E 分别在边AB 、AC 上，DE //BC ，且DE 经过重心G ，在下列四个说法中，①23DE BC =；②13BD AD =；③23△△ADE ABC C C =；④45△四边形ADE DBCE S S =，正确的个数是（ ） （A ）1个； （B ）2个； （C ）3个； （D ）4个．二、填空题：（本大题共12题，每题4分，满分48分）7．如果72x y =，那么2x yy-的值是 ． 8．化简：1322()()a b a b →→→→+--= ．9．如果抛物线221y x x m =++-经过原点，那么m 的值等于 ． 10．将抛物线21342()y x =+-先向右平移2个单位，再向上平移3个单位，那么平移后所得新抛物线的表达式是 ．11．已知抛物线221y x bx =+-的对称轴是直线1x =，那么b 的值等于 ．12．已知△ABC 三边的比为2:3:4，与它相似的△A B C '''最小边的长等于12，那么△A B C '''最大边的长等于 ．13．在Rt △ABC 中，ACB ∠=90°，3AB =，1BC =，那么A ∠的正弦值是 ． 14．正八边形的中心角为 度．15．如图3，在梯形ABCD 中，AD //BC ，AB ⊥BC ，BD ⊥DC ，1tan 2ABD ∠=，5BC =，那么DC 的长等于 ．16．如图4，AB //CD ，AD 、BC 相交于点E ，过E 作EF //CD 交BD 于点F ，如果:2:3AB CD =，6EF =，那么CD 的长等于 ．17．已知二次函数2y ax c =+0()a >的图像上有纵坐标分别为1y 、2y 的两点A 、B ，如果点A 、B 到对称轴的距离分别等于2、3，那么1y 2y ．（填“<”、“=”或“>”）图2图3ABC DFE 图4 A BC D18．如图5，△ABC 中，8AB AC ==，3cos 4B =，点D 在边BC 上，将△ABD 沿直线AD 翻折得到△AED ，点B 的对应点为点E ，AE 与边BC 相交于点F ，如果2BD =，那么EF = ．三、解答题：（本大题共7题，满分78分）19．（本题满分10分）计算：24sin 45cos 30602︒+︒--．20.（本题满分10分）如图6，在平行四边形ABCD 中，对角线AC 、BD 相交于点O ，点E 在边BC 上，AE与BD 相交于点G ，:3:1AG GE =． （1）求:EC BC 的值；（2）设B A a =，AO b =，那么EC = ，GB = （用向量a 、b 表示）．21．（本题满分10分）如图7，⊙1O 和⊙2O 相交于A 、B 两点，12O O 与AB 交于点C ，2O A 的延长线交⊙1O 于点D ，点E 为AD 的中点，AE AC =，联结1O E ．（1）求证：11O E O C =；（2）如果1210O O =，16O E =，求⊙2O 的半径长．图5ABCDA BCDOEG图6图7ABC DO 1EO 2如图8，小山的一个横断面是梯形BCDE ，EB //DC ，其中斜坡DE 的坡长为13米，坡度1:2.4i =．小山上有一座铁塔AB ，在山坡的坡顶E 处测得铁塔顶端A 的仰角为45︒，在与山坡的坡底D 相距5米的F 处测得铁塔顶端A 的仰角为31︒（点F 、D 、C 在一直线上），求铁塔AB 的高度． （参考数值：s i n 31.︒≈，cos31086.︒≈，tan3106.︒≈）23．（本题满分12分）已知：如图9，△ADE 的顶点E 在△ABC 的边BC 上，DE 与AB 相交于点F ，AE AF AB =⋅2，DAF EAC ∠=∠．（1）求证：△ADE ∽△ACB ； （2）求证：DF CEDE CB=．24．（本题满分12分）如图10，在平面直角坐标系xOy 中，抛物线23y a x b x =+-(0)a ≠与x 轴交于点A ()1,0-和点B ，且3OB OA =，与y 轴交于点C ，此抛物线顶点为点D ． （1）求抛物线的表达式及点D 的坐标；（2）如果点E 是y 轴上的一点（点E 与点C 不重合），当BE DE ⊥时，求点E 的坐标；（3）如果点F 是抛物线上的一点，且135FBD ∠=，求点F 的坐标．图10DAF图8CF图9AB CDE如图11，点O 在线段AB 上，22AO OB a ==，60BOP ∠=︒，点C 是射线OP 上的一个动点．（1）如图11①，当90ACB ∠=︒，2OC =，求a 的值；（2）如图11②，当AC =AB 时，求OC 的长（用含a 的代数式表示）；（3）在第（2）题的条件下，过点A 作AQ ∥BC ，并使∠QOC=∠B ，求:AQ OQ 的值．ABCPOABCPO图11①图11②闵行区2018学年第一学期九年级质量调研考试数 学 试 卷（测试时间：100分钟，满分：150分）1．本试卷含三个大题，共25题．答题时，考生务必按答题要求在答题纸规定的位置上作答，在草稿纸、本试卷上答题一律无效．2．除第一、二大题外，其余各题如无特别说明，都必须在答题纸的相应位置上写出证明或计算的主要步骤．3．本次考试可使用科学计算器．一、选择题：（本大题共6题，每题4分，满分24分）1．在Rt △ABC 中，∠C = 90°，∠A 、∠B 、∠C 所对的边分别为a 、b 、c ，下列等式中不成立的是（A ）tan b B a =； （B ）cos a B c =； （C ）sin a A c =； （D ）cot aA b=．2．如果从甲船看乙船，乙船在甲船的南偏东30°方向，那么从乙船看甲船，甲船在乙船的（A ）北偏东30°； （B ）北偏西30°； （C ）北偏东60°； （D ）北偏西60°．3．将二次函数22(2)y x =-的图像向左平移1个单位，再向下平移3个单位后所得图像的函数解析式为（A ）22(2)4y x =--； （B ）22(1)3y x =-+（C ）22(1)3y x =--；（D ）223y x =-．4．已知二次函数2y a x b x c =++下列判断中不正确的是 （A ）a < 0； （B ）b > 0； （C ）c > 0；（D ）abc > 0．5．已知：点C 在线段AB 上，且AC = 2BC ，那么下列等式一定正确的是（A ）423AC BC AB +=uuu r uu u r uu u r； （B ）20AC BC -=u u u r u u u r r ；（C ）AC BC BC +=uuu r uu u r uu u r ； （D ）AC BC BC -=uuu r uu u r uu u r．6．已知在△ABC 中，点D 、E 、F 分别在边AB 、AC 和BC 上，且DE // BC ，DF // AC ， 那么下列比例式中，正确的是 （A ）FBCF EC AE =； （B ）BC DE EC AE =； （C ）BC DE AC DF =； （D ）BC FCAC EC =．二、填空题：（本大题共12题，每题4分，满分48分） 7．已知：x ︰y = 2︰5，那么（x +y ）︰y = ．8．化简：313()222a b a b -++-=r r r r．9．抛物线232y x x =++与y 轴的公共点的坐标是 ．10．已知二次函数2132y x =--，如果x > 0，那么函数值y 随着自变量x 的增大而．（填“增大”或“减小”）．（第4题图）11．已知线段AB = 4厘米，点P 是线段AB 的黄金分割点（AP > BP ），那么线段 AP = 厘米．（结果保留根号）12．在△ABC 中，点D 、E 分别在边AB 、AC 上，且DE // BC ．如果35AD AB =，DE = 6，那么BC = ．13．已知两个相似三角形的相似比为2︰3，那么这两个相似三角形的面积比为 ． 14．在Rt △ABC 中，∠C = 90°，AB =1tan 3A =，那么BC = ．15．某超市自动扶梯的坡比为1︰2.4．一位顾客从地面沿扶梯上行了5.2米，那么这位顾客此时离地面的高度为 米． 16．在△ABC 和△DEF 中，AB BCDE EF=．要使△ABC ∽△DEF ，还需要添加一个条件，那么这个条件可以是 （只需填写一个正确的答案）． 17．如图，在Rt △ABC 中，∠ACB = 90°，AC BC ==，点D 、E 分别在边AB 上，且AD = 2，∠DCE = 45°，那么DE = ．18．如图，在Rt △ABC 中，∠ACB = 90°，BC = 3，AC = 4，点D 为边AB 上一点．将△BCD 沿直线CD 翻折，点B 落在点E 处，联结AE ．如果AE // CD ，那么BE = ．三、解答题：（本大题共7题，满分78分） 19．（本题满分10分）已知在平面直角坐标系xOy 中，二次函数2y a x bx c =++的图像经过点A （1，0）、B （0，-5）、C （2，3）．求这个二次函数的解析式，并求出其图像的顶点坐标和对称轴．20．（本题共2小题，第（1）小题4分，第（2）小题6分，满分10分）如图，在平行四边形ABCD 中，对角线AC 、BD 相交于点O ．E 为边AB 上一点，且BE = 2AE ．设A B a =u u u r r ，AD b =u u u r r ．（1）填空：向量DE =u u u r _ ；（2）如果点F 是线段OC 的中点，那么向量EF =u u u r_ ，并在图中画出向量EF uu u r 在向量AB uu u r 和AD u u u r方向上的分向量．注：本题结果用向量a b r r、的式子表示．画图不要求写作法，但要指出所作图中表示结论的向量）．（第20题图）A BC D EO A BC（第18题图）ABCDE（第17题图）21．（本题共2小题，每小题5分，满分10分）如图，在Rt△ABC中，∠ACB = 90°，BC = 6，AC = 8．点D 是AB边上一点，过点D作DE// BC，交边AC于E．过点C作CF // AB，交DE的延长线于点F．（1）如果13ADAB=，求线段EF的长；（2）求∠CFE的正弦值．22．（本题满分10分）如图，某公园内有一座古塔AB，在塔的北面有一栋建筑物，某日上午9时太阳光线与水平面的夹角为32°，此时塔在建筑物的墙上留下了高3米的影子CD．中午12时太阳光线与地面的夹角为45°，此时塔尖A在地面上的影子E与墙角C的距离为15米（B、E、C在一条直线上），求塔AB的高度．（结果精确到0.01米）参考数据：sin32°≈0.5299，cos32°≈0.8480，tan32°≈0.62491.4142．23．（本题共2小题，每小题6分，满分12分）如图，在△ABC中，点D为边BC上一点，且AD = AB，AE⊥BC，垂足为点E．过点D作DF // AB，交边AC于点F，联结EF，21 2EF BD EC=⋅．（1）求证：△EDF∽△EFC；（2）如果14EDFADCSS=VV，求证：AB = BD．24．（本题共3小题，每小题4分，满分12分）已知：在平面直角坐标系xOy中，抛物线2y a x b x=+经过点A（5，0）、B（-3，4），抛物线的对称轴与x轴相交于点D．（1）求抛物线的表达式；（2）联结OB、BD．求∠BDO的余切值；（3）如果点P在线段BO的延长线上，且∠PAO =∠BAO，求点P的坐标．xyO（第24题图）AB CD E F（第21题（第22题图）AB CDEF（第23题图）25．（本题满分14分，其中第（1）小题4分、第（2）、（3）小题各5分）如图，在梯形ABCD 中，AD // BC ，AB = CD ，AD = 5，BC = 15，5cos 13ABC ∠=．E 为射线CD 上任意一点，过点A 作AF // BE ，与射线CD 相交于点F ．联结BF ，与直线AD 相交于点G ．设CE = x ，AGy DG=． （1）求AB 的长；（2）当点G 在线段AD 上时，求y 关于x 的函数解析式，并写出函数的定义域； （3）如果23ABEF ABCDS S =四边形四边形，求线段CE 的长．ABCDEFG（第25题图）ABCD（备用图）浦东新区2018学年第一学期期末教学质量检测初三数学 试卷一、选择题（本大题共6题，每题4分） 1.已知在Rt ABC 中，90,8,15C AC BC ∠===，那么下列等式正确的是（ ）A. 8sin 17A =B. 8cos 15A =C. 8tan 17A =D. 8cot 15A =2. 已知线段4MN =cm ，P 是线段MN 的黄金分割点，MP NP >，那么线段MP 的长度等于（ ）A. ()2cmB. ()2cmC.)1cmD.)1cm3. 已知二次函数()23y x =-+，那么这个二次函数的图像有（ ） A. 最高点()3,0B. 最高点()3,0-C. 最低点()3,0D. 最低点()3,0-4.如果将抛物线241y x x =++平移，使它与抛物线21y x =+重合，那么平移的方式可以是（ ） A. 向左平移2个单位，向上平移4个单位 B. 向左平移2个单位，向下平移4个单位 C. 向右平移2个单位，向上平移4个单位 D. 向右平移2个单位，向下平移4个单位5. 如图1，一架飞机在点A 处测得水平地面上一个标志物P 的俯角为α，水平飞行m 千米后到达点B 处，又测得标志物P 的俯角为β，那么此时飞机离地面的高度为（ ）A.cot cot mαβ-千米B.cot cot mβα-千米C.tan tan mαβ-千米D.tan tan mβα-千米6.在ABC 与DEF 中，下列四个命题是真命题的个数共有（ ）①如果,AB BCA D DE EF∠=∠=，那么ABC 与DEF 相似；②如果,AB ACA D DF DE∠=∠=，那么ABC 与DEF 相似； ③如果90,AC DFA D AB DE∠=∠==，那么ABC 与DEF 相似； ④如果90,AC BCA D DF EF∠=∠==，那么ABC 与DEF 相似． A. 1个B. 2个C. 3个D. 4个二、填空题（本大题共12题，每题4分） 7.已知25x y =，那么2xx y=+____________．8. 如果()()233y k x k x =-+-是二次函数，那么k 需满足的条件是____________．9.如图2，已知直线1l 、2l 、3l 分别交直线4l 于点A 、B 、C ，交直线5l 于点D 、E 、F ，且123////l l l ，6,4,15AB BC DF ===，那么线段DE 的长等于____________．10. 如果ABC ∽DEF ，且ABC 的面积为2cm 2，DEF 的面积为8cm 2，那么ABC 与DEF 的相似比为____________．11. 已知向量a 与单位向量e 的方向相反，4a =，那么向量a 用单位向量e 表示为____________．12. 已知某斜面的坡度为1:____________度．13. 如果抛物线经过点()2,5A 和点()4,5B -，那么这条抛物线的对称轴是直线____________． 14. 已知点()5,A m -、()3,B n -都在二次函数2152y x =-的图像上，那么m 、n 的大小关系是：m ____________n ．（填“＞”、“＝”或“＜”）15. 如图3，已知ABC 和ADE 都是等边三角形，点D 在边BC 上，且4,2BD CD ==，那么AF =____________．16. 在平面直角坐标系xOy 中，我们把对称轴相同的抛物线叫做同轴抛物线．已知抛物线26y x x =-+的顶点为M ，它的某条同轴抛物线的顶点为N ，且点N 在点M 的下方，10MN =，那么点N 的坐标是____________．17. 如图4，已知花丛中的电线杆AB 上有一盏路灯A ．灯光下，小明在点C 处时，测得他的影长3CD =米，他沿BC 方向行走到点E 处时，2CE =米，测得他的影长4EF =米，如果小明的身高为1.6米，那么电线杆AB 的高度等于____________米．18. 将矩形纸片ABCD 沿直线AP 折叠，使点D 落在原矩形ABCD 的边BC 上的点E 处，如果AED ∠的余弦值为35，那么ABBC=____________．三、解答题（本大题共7题，满分78分）19. （本题满分10分）已知在平面直角坐标系xOy 中，二次函数221210y x x =-+的图像与x 轴相交于点A 和点B（点A 在点B 的左边），与y 轴相交于点C ，求ABC 的面积．20. （本题满分10分，每小题各5分）如图5，已知点A 、B 在射线OM 上，点C 、D 在射线ON 上，1//,2OA AC BD AB =，OA a =，OC b =． （1）求向量BD 关于a 、b 的分解式；（2）求作向量2a b -．（不要求写作法，但要保留作图痕迹，并写明结论）21、如图（6），在直角梯形ABCD 中，//AD BC ，AD CD ⊥，M 为腰AB 上一动点，联结MC 、MD ，10AD =15BC =，5cot 12B =. （1）求线段CD 的长.（2）设线段BM 的长为x ，CDM 的面积为y ，求y 关于x 的函数解析式，并写出它的定义域.22、“雪龙”号考察船在某海域进行科考活动，在点A 处测得小岛C 在它的东北方向上，它沿南偏东37方向航行2海里到达点B 处，又测得小岛C 在它的北偏东23方向上（如图7所示），求“雪龙”号考察船在点B 处与小岛C 之间的距离. （参考数据：s i n 220.37≈，cos 220.93≈,tan 220.40≈，1.4≈ 1.7≈）23、已知，如图8，在平行四边形ABCD 中，M 是BC 边的中点，E 是边BA 延长线上的一点，联结EM ，分别交线段AD 于点F 、AC 于点G . （1）求证：GF EFGM EM=； （2）当22BC BA BE =⋅时，求证：EMB ACD ∠=∠.24、如图9，在平面直角坐标系xOy 中，直线12y x b =-+与x 轴相交于点A ，与y 轴相交于点B ，抛物线244y ax ax =-+经过点A 和点B ，并与x 轴相交于另一点C ，对称轴与x 轴相交于点D .（1）求抛物线的表达式； （2）求证：BODAOB ；（3）如果点P 在线段AB 上，且BCP DBO ∠=∠，求点P 的坐标.25、将大小两把含30角的直角三角尺按如图10-1位置摆放，即大小直角三角尺的直角顶点C 重合，小三角尺的顶点D 、E 分别在大三角尺的直角边AC 、BC 上，此时小三角尺的斜边DE 恰好经过大三角尺的重心G .已知30A CDE ∠=∠=，12AB =. （1）求小三角尺的直角边CD 的长；（2）将小三角尺绕点C 逆时针旋转，当点D 第一次落在大三角尺的边AB 上时（如图10-2），求点B 、E 之间的距离；（3）在小三角尺绕点C 旋转的过程中，当直线De 经过点A 时，求BAE ∠的正弦值.杨浦区2018学年度第一学期期末质量调研初三数学试卷一、选择题（本大题共6题，每题4分） 1. 下列四组线段中，成比例的是（ ） A. 1,1,2,3 B. 1,2,3,4 C. 2,2,3,3 D. 2,3,4,52. 如果:3:2a b =，且b 是a 、c 的比例中项，那么:b c 等于（ ） A. 4:3 B. 3:4 C. 2:3 D. 3:23.如果ABC 中，190,sin 2C A ∠==，那么下列等式不正确的是（ ）A. cos 2A =B. cot A =C. sin B =D. tan B =4. 下列关于向量的运算中，正确的是（ ） A. a b b a -=- B. ()222a b a b --=-+ C. ()0a a +-=D. 0a a +=那么这个二次函数的图像的对称轴是直线（ ）A. 0x =B. 12x =C. 34x =D. 1x =6. 如果以a 、b 、c 为三边的三角形和以4、5、6为三边的三角形相似，那么a 与b 的比值不可能为（ ）A.23B.34C.45D.56二、填空题（本大题共12题，每题4分） 7.如果53x x y =-，那么xy =____________．8. 等边三角形的中位线与高之比为____________．9. 如果两个相似三角形的面积比为4:9，较小三角形的周长为4，那么这两个三角形的周长和为____________．10. 在ABC 中，3,5,6AB AC BC ===，点D 、E 分别在边AB 、AC 上，且1AD =，如果ABC ∽ADE ，那么AE =____________．11. 在ABC 中，5,8AB AC BC ===，如果点G 为重心，那么G C B ∠的余切值为____________．12. 如果开口向下的抛物线()22540y ax x a a =++-≠过原点，那么a 的值是____________． 13. 如果抛物线22y x bx c =-++的对称轴在y 轴的左侧，那么b ____________0．（填入“＜”或“＞”＝14. 已知点()11,A x y 、()22,B x y 在抛物线22y x x m =++上，如果120x x <<，那么1y ____________2y ．（填入“＜”或“＞”＝15. 如图，//AG BC ，如果:3:5,:3:2AF FB BC CD ==，那么:AE EC =____________． 16. 某单位门前原有四级台阶，其横截面如图所示，每级台阶高为18cm ，宽为30cm ，为方便残障人士，拟将它改成斜坡，设台阶的起点为A 点，斜坡的起点为C 点，准备设计斜坡BC 的坡度1:5i =，则AC 的长度是____________cm ．17. 如果抛物线1C 的顶点在抛物线2C 上时，抛物线2C 的顶点也在抛物线1C 上，此时我们称抛物线1C 与2C 是“互为关联”的抛物线．那么与抛物线22y x =是“互为关联”且顶点不同的抛物线的表达式可以是____________．（只需写出一个）18. Rt ABC 中，90,3,2C AC BC ∠===，将此三角形绕点A 旋转，当点B 落在直线BC 上的点D 处时，点C 落在点E 处，此时点E 到直线BC 的距离为____________．三、解答题（本大题共7题，满分78分）19. （本题满分10分，第（1）题6分，第（2）题4分） 如图，已知ABCD 的对角线交于点O ，点E 为边AD 的中点，CE 交BD 于点G ． （1）求OGDG的值； （2）如果设,AB a BC b ==，试用a 、b 表示GO ．20. （本题满分10分，每小题各5分）已知二次函数()20y ax bx c a =++≠的图像过点()1,2-和()1,0-和30,2⎛⎫-⎪⎝⎭． （1）求此二次函数的解析式；（2）按照列表、描点、连线的步骤，在如图所示的平面直角坐标系内画出该函数的图像（要求至少5点）．21、如图，AD 是ABC 的中线，1tan 5B =，cos 2C =，AC =求（1）BC 的长； （2）ADC ∠的正弦值.22、某学生为测量一颗大树AH 及其树叶部分AB 的高度，将测角仪放在F 处测得大树顶端A 的仰角为30，放在G 处测得大树顶端A 的仰角为60，树叶部分下端B 的仰角为45，已知点F 、G 与大树底部H 共线，点F 、G 相距15米，测角仪高度为1.5米，求该树的高度AH 和树叶部分的高度AB .23、如图，在ABC 中，点D 在边AB 上，点E 在线段CD 上，且ACD B BAE ∠=∠=∠. （1）求证：AD DEBC AC=； （2）当点E 为CD 中点时，求证：22AE ABCE AD=.24、在平面直角坐标系中，抛物线2y ax bx c =++（0a ≠）与y 轴交于点()0,2C ，它的顶点为()1,D m ，且1tan 3COD ∠=. （1）求m 的值及抛物线的表达式；（2）将此抛物线向上平移后与x 轴正半轴交于点A ，与y 轴交于点B ，且OA OB =，若点A 是由原抛物线上的点E 平移所得，求点E 的坐标；（3）在（2）的条件下，点P 是抛物线对称轴上的一点（位于x 轴上方），且45APB ∠=，求点P 的坐标.25、已知在梯形ABCD 中，//AD BC ，AB BC ⊥，3AD =，6AB =，DF DC ⊥分别交射线AB 、射线CB 于点E 、F .（1）当点E 为边AB 的中点时（如图1），求BC 的长；（2）当点E 在边AB 上时（如图2），联结CE ，试问：DCE ∠的大小是否确定？若确定，请求出DCE ∠的正切值；若不确定，则设AE x =，DCE ∠的正切值为y ，请求出y 关于x 的函数解析式，并写出定义域；（3）当AEF 的面积为3时，求DCE 的面积.2018学年奉贤区调研测试九年级数学 201901（满分150分，考试时间100分钟）考生注意：1．本试卷含三个大题，共25题．答题时，考生务必按答题要求在答题纸规定的位置上作答，在草稿纸、本试卷上答题一律无效．2．除第一、二大题外，其余各题如无特别说明，都必须在答题纸的相应位置上写出证明或计算的主要步骤．一、选择题（本大题共6题，每题4分，满分24分）1．已知线段a 、b ，如果:5:2a b =，那么下列各式中一定正确的是（）（A ）7a b +=； （B ）52a b =；（C ）72a b b +=；（D ）512a b +=+.2．关于二次函数21(1)2y x =+的图像，下列说法正确的是（） （A ）开口向下； （B ）经过原点；（C ）对称轴右侧的部分是下降的； （D ）顶点坐标是（1-，0）． 3．如图1，在直角坐标平面内，射线OA 与x 轴正半轴的夹角为 ，如果OAtan 3a =，那么点A 的坐标是（） （A ）（1，3）；（B ）（3，1）；（C ）（1；（D ）（3．4．对于非零向量a r 、b r ，如果23a b =r r，且它们的方向相同，那么用向量a r 表示向量b r 正确的是（）（A ）32b a =r r ； （B ）23b a =r r ；（C ）32b a =-r r ；（D ）23b a =-r r． 5．某同学在利用描点法画二次函数2(0)y ax bx c a =++?的图像时，先取自变量x 的一些值，计算出相应的函数值y ，如下表所示：（A ）03x y ì=ïïíï=-ïî； （B ）21x y ì=ïïíï=-ïî； （C ）30x y ì=ïïíï=ïî； （D ）43x y ì=ïïíï=ïî． 6．已知⊙A 的半径AB 长是5，点C 在AB 上，且AC =3，如果⊙C 与⊙A 有公共点，那么⊙C 的半径长r 的取值范围是（）（A ）2r ³； （B ）8r £； （C ）28r <<； （D ）28r ＃． 二、填空题（本大题共12题，每题4分，满分48分）图17．计算: 132()2a ab +-r r r= ．8．计算：sin30tan60胺?= ．9．如果函数2(1)y m x x =-+（m 是常数）是二次函数，那么m 的取值范围是 ．10．如果一个二次函数的图像在其对称轴左侧部分是上升的，那么这个二次函数的解析式可以是 ．（只需写一个即可）11．如果将抛物线22y x =-向右平移3个单位，那么所得到的新抛物线的对称轴是直线 ． 12．如图2，AD 与BC 相交于点O ，如果13AO AD =，那么当BOCO的值是 时，AB ∥CD . 13．如图3，已知AB 是⊙O 的弦，C 是»AB 的中点，联结OA 、AC ，如果∠OAB =20° ，那么∠CAB的度数是 ．14．联结三角形各边中点，所得的三角形的周长与原三角形周长的比是 ． 15．如果正n 边形的一个内角是它的中心角的2倍，那么n 的值是 ．16．如图4，某水库大坝的横截面是梯形ABCD ，坝顶宽DC 是10米，坝底宽AB 是90米，背水坡AD 和迎水坡BC 的坡度都为1:2.5，那么这个水库大坝的坝高是 米．17．我们把边长是两条对角线长度的比例中项的菱形叫做“钻石菱形”．如果一个“钻石菱形”的面积为6，那么它的边长是 ．18．如图5，在△ABC 中，AB =AC =5，3sin =5C ，将△ABC 绕 点A 逆时针旋转得到△ADE ,点B 、C 分别与点D 、E 对应， AD 与边BC 交于点F ．如果AE //BC ，那么BF 的长是 ．三、解答题（本大题共7题，满分78分） 19．（本题满分10分，每小题满分5分）已知抛物线(2)+2y x x =-．（1）用配方法把这个抛物线的表达式化成2()y a x m k =++的形式，并写出它的顶点坐标； （2）将抛物线(2)+2y x x =-上下平移，使顶点移到x 轴上，求新抛物线的表达式．图5ABC图4ABCD1:2.51:2.5A B C DO 图220．（本题满分10分，每小题满分5分）如图6，已知AD 是△ABC 的中线，G 是重心．（1）设=，BC b =uu u r r ，用向量a r 、b r表示BG uuu r ；（2）如果AB =3，AC=2，∠GAC=∠GCA ，求BG 的长． 21．（本题满分10分，每小题满分5分）如图7，已知Rt △ABC ，∠BAC =90°，5BC =，AC =以A 为圆心、AB 为半径画圆，与边BC 交于另一点D ． （1）求BD 的长；（2）联结AD ，求DAC ∠的正弦值．22．（本题满分10分，每小题满分5分）“滑块铰链”是一种用于连接窗扇和窗框，使窗户能够开启和关闭的连杆式活动链接装置（如图8-1）．图8-2是“滑块铰链”的平面示意图，滑轨MN 安装在窗框上，悬臂DE 安装在窗扇上，支点B 、C 、D 始终在一条直线上．已知托臂AC=20厘米，托臂BD =40厘米，支点C 、D 之间的距离是10厘米，张角∠CAB=60º．（1）求支点D 到滑轨MN 的距离（精确到1厘米）； （2）将滑块A 向左侧移动到'A ，（在移动过程中，托臂长度不变，即AC=''A C ，BC='BC ）当张角∠''C A B =45º时，求滑块A 向左侧移动的距离（精确到1厘米）． （1.411.732.452.65）23．（本题满分12分，第（1）小题满分5分，第（2）小题满分7分）已知：如图9，在△ABC 中，点D 在边AC 上，BD 的垂直平分线交CA 的延长线于点E ， 交BD 于点F ，联结BE ，EC EA ED •=2． （1）求证：∠EBA =∠C ；（2）如果BD =CD ，求证：AC AD AB •=2．ABCDEF图7 AB CDG 图6图8-1CMNB A DE图8-2'A 'C24．（本题满分12分，每小题满分6分）如图10，在平面直角坐标系xOy 中，直线AB 与抛物线2y ax bx =+交于点A (6，0)和点B (1，－5)．（1）求这条抛物线的表达式和直线AB 的表达式； （2）如果点C 在直线AB 上，且∠BOC 的正切值是32， 求点C 的坐标．25．（本题满分14分，第(1)小题满分4分，第(2)小题满分5分，第(3)小题满分5分）如图11，已知梯形ABCD 中，AB ∥CD ，∠DAB =90°，AD =4，26AB CD ==，E 是边BC 上一点，过点D 、E 分别作BC 、CD 的平行线交于点F ，联结AF 并延长，与射线DC 交于点G ． （1）当点G 与点C 重合时，求:CE BE 的值；（2）当点G 在边CD 上时，设CE m =，求△DFG 的面积；（用含m 的代数式表示） （3）当AFD ∆∽ADG ∆时，求∠DAG 的余弦值．图11A BC D F E G 备用图 A B C D2019年上海市崇明区初三第一学期调研测试九年级数学试卷一、选择题 (本大题共6题，每题4分，共24分) 1. 如果y x 32=，那么yx的值为（ ） A.32 B.23 C.35 D.52 2. 在Rt △ABC 中，如果∠C=90°，那么BCAC表示∠A 的（ ）A.正弦B.正切C.余弦D.余切 3. 已知二次函数bx ax y +=2的图像如图所示，那么b a 、的符号为（ ）A. 0,0>>b aB. 0,0><b aC. 0,0<>b aD.0,0<<b a4. 如图，如果∠BAD=∠CAE ，那么添加下列一个条件后，仍不能确定△ABC ∽△ADE 的是（ ）A.∠B =∠DB.∠C =∠AEDC.BC DE AD AC = D.AEACAD AB =5. 已知向量和量都是单位向量，那么下列等式成立的是（ ）A. =B. 2=+C.0=- =6. 如果两圆的圆心距为2，其中一个圆的半径为3，另一个圆的半径1>r ，那么这两个圆的位置关系不可能是（ ）A.内含B.内切C.外离D.相交 二、填空题(本大题共12题，每题4分，共48分)。

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