四川省宜宾市2021年中考英语真题卷（含答案）

宜宾市2021年初中学业水平考试暨高中阶段学校招生考试

英语

（考试时间：120分钟；全卷满分：150分）

注意事项：

1.答题前，务必将自己的姓名、座位号、准考证号填写在答题卡指定的位置并将答题卡背面

座位号对应标号涂黑。

2.答选择题时，务必使用2B铅笔把答题卡上对应题目的答案标号涂黑。如需改动，用橡皮擦

干净后，再选涂其他答案标号。

3.答非选择题时，务必使用0.5毫米黑色签字笔，将答案书写在答题卡规定的位置上。

4.所有题目必须在答题卡规定的位置上作答，在试卷上答题无效。

选择题（共二部分，满分100分）

第一部分听（共20小题，每小题L5分，满分30分）

第一节听下面5段对话，每段对话后有一个小题，从题中所给的A、B、C三个选项中选出

最佳选项。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对

话读两遍。

1.WhogavethemanhisfirstEnglishdictionary?

A.Hisfather.B.Hismother.C.Hisgrandmother.

2.What'stheredbuilding?

A.Thelibrary.B.Theteachingbuilding.C.Thedininghall.

3.Whichcapdoesthewomanprefer?

A.Thewhiteone.B.Theyellowone.C.Theblackone.

4.WhatisAnniegoingtodotonight?

A.Gotoaparty.B.Gotoamovie.C.Gotoadinner.

5.Whattimeisitnow?

A.9:00a.m.B.11:30a.m.C,2:30p.m.

第二节听下面儿段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三

个选项中选出最佳选项。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；

听完后，各小题将给出5秒钟的作答时间。每段对话或独白读两遍。

听第6段对话，回答第6、7两个小题。

6.Whatarethetwospeakerswaitingfor?

A.Astudent.B.AnEnglishclass.C.Atennisgame.

7.Whafsthemostpossiblerelationshipbetweenthetwospeakers?

A.Strangers.B.Friends.C.Neighbors.

听第7段对话。回答第8至第10三个小题。

8.Whatisthemandoingnow?

A.Readingnews.B.CheckingtheInternet.C.StudyingEnglish.

9.WhydoesthemanwanttogotoAustralia?

A.Tovisithisuncle.B.Tohaveaholiday.C.ToimprovehisEnglish.

10.WhatdoesthewomanthinkofAustralianCentreforLanguages?

A.Well-known.B.Boring.C.Relaxing.

听第8段对话，回答第11至第13三个小题。

11.Howisthemancomingtothecity?

A.Bybus.B.Bytrain.C.Bysubway.

12.Howshouldthemangoaftergettingoutofthetrainstation?

A.Turnright.B.Turnleft.C.Gostraight.

13.Whereisthemuseum?

A.Ontheleftoftheblock.

B.Ontherightoftheblock.

C.Inthemiddleoftheblock.

听第9段对话，回答第14至第16三个小题。

14.HowoldisTom?

A.11.B.15.C.18.

15.WhatisTom'sfather?

A.Anactor.B.Ateacher.C.Adoctor,

16.WheredoesTom'sbrotherwanttogotouniversity?

A.InChina.B.InFrance.C.InAmerica.

听下面一段独白，回答第17至第20四个小题。

17.Howmanysuggestionsdoesthespeakergive?

A.2.B.3.C.4

18.Whatisnecessaryforareadingspaceifyouwanttoreadathome?

A.Beingbigenough.

B.Beingfullofbookcases.

C.Beingquietandcomfortable.

19.Wherecanyoureadallkindsofgreatbooks?

A.Athome.B.Inthelibrary.C.Atschool.

20.Whatdoesthespeakermainlytalkabout?

A.Whatkindsofbookstoread.

B.Wheretoreadallkindsofbooks.

C.HowtoimproveChinesereading.

第二部分读（共三节，满分70分）

第一节完型填空（共15小题，每小题2分，满分30分）

阅读下面短文，从短文后各题所给的四个选项（A、B、C、D）中，选出可以填入空白处的最

佳选项。

A

Pressureisaseriousproblemintoday'sworld.Some]areundertoomuchpressure.Theycan't

2wellwiththeirclassmates,whileothersmayworryabouttheirexams.

I'malwaysunderpressure,3.Myparentswantmetobethetopstudentinclass,sotheysendmetoall

kindsofafter-schoolclassesatweekends.LastMondayevening,Ihadatalkwithmymother.ItoldherIwasnotlazy.

Ireallyfelttired,Ineededtimeto4.Mymotheragreedwithmeatlast.SoIthinkaconversationwith

parentsis5tosolvetheproblem.

1.A.parentsB.teachersC.headmastersD.students

2.A.getonB.turndownC.putupD.thinkover

3.A.yetB.againC.tooD.either

4.A.readB.writeC.studyD.relax

5.A.uselessB.necessaryC.impossibleD.interesting

【答案】l.D2.A3.C4.D5.B

B

NotknowingthatitsownerdiedofCOVID-19inFebruary,2020,adoginWuhanhasbeen6atthe

hospitalforoverthreemonths.Hospitalstafftookcareofit7theperiod,andnowananimalprotection

associationishelpingitgetadopted（领养）.

WuCuifen,whorunsasupermarketinthebuildingofthehospital,toldreportersthatthedog's8was

suffering（遭受）fromCOVID-19.

Shetriedtosendthedogawayfromthe9.buttherewasnousedoingthat.WuCuifendecidedto

10thedog,andshenameditXiaobao."EverymorningwhenIopenedup,Xiaobaowouldbetherewaiting

forme.Hesawmeleaveatthe11ofeachday.”

Ms.WusaidXiaobao12toleavethehospital.Evenwhentheyonpuiposedroppedhimoff

somewherefaraway,hewouldmakehiswaybacktoTaikangHospitaland13waitforhisownerto

14.

"AlthoughXiaobaocan't15.weunderstandthatheissurelystilllookingforhisowner,“shetold

reporters.

6.A.eatingB.waitingC.sleepingD.working

7.A.duringB.fromC.byD.to

8.A.doctorB.neighborC.ownerD.baby

9.A.stationB.supermarketC.cityD.hospital

10.A.searchforB.worryaboutC.fightagainstD.lookafter

11.A.endB.beginningC.middleD.time

12.A.wantedB.refusedC.agreedD.decided

13.A.carefullyB.angrilyC.patientlyD.happily

14.A.prepareB.returnC.feedD.help

15.A.speak.B.playC.actD.walk

【答案】6.B7.A8.C9.D10.D11.A12.B13.C14.B15

第二节阅读理解（共15小题，每小题2分，满分30分）

阅读下列短文，从每题所给的四个选项（A、B、C、D）中，选出最佳选项。

A

Itisreportedthatthecostoflivinghasbeenrisingaroundtheworldinrecentyears.Inthestudy,214cities

worldwideweresurveyed.So,whichcitiesarethemostexpensivetolivein?

Tokyo,Japan

Tokyoisoneofthemostexpensiveplacestolivein.TherearealsotwootherJapanesecitiesthathavemadethe

top10listthisyear:OsakaandNagoya.Now,TokyoisaboutonethirdmoreexpensivethanKarachi,whichisthe

leastexpensivecityamongthe214cities.

Monthlyrent,luxury2-bedroomapartment:US$4,848

Cupofcoffee:USS8.29Fastfoodmeal:USS8.29

Singapore

Singapore,likeothercitiesinAsia,hasseenabiginflowofforeigners,whichhasmainlypushedupthepriceof

housingandotherlivingcosts.Singapore'saveragemonthlyrentfora2-bedroomapartmentismuchlowerthanthat

intheabovethreeJapanesecities.

Monthlyrent,luxury2-bedroomapartment:US$3,588

Cupofcoffee:USS5.18Fastfoodmeal:US$5.66

HongKong,China

HongKong,nexttoSingapore,istheonlyChinesecitytomakethetop10list.Theaveragemonthlyrentfora

2-bedroomapartmentjumpedbyaroundUS$1,300.Withalimitedhousingsupply,theaveragehousepriceshave

risensharplybyover93percentbetween2010and2014.

Monthlyrent,luxury2-bedroomapartment:US$7,092

Cupofcoffee:USS6.83Fastfoodmeal:USS3.54

16.Wherecanweeasilyfindthepassage?

A.Ageographybook.B.Asciencefiction

C.Asurveyreport.D.Anaturemagazine.

17.HowmanyJapanesecitiesareamongthetop10list?

A.One.B.Two.C.Three.D.Four.

18.HowmuchwillyoupayfbrtwocupsofcoffeeinSingapore?

A.USS16.58.B.US$13,66.C.USS11.32D.US$10.36.

19.Whichcity'shousepriceshaveincreasedtoofast?

A.Singapore.B.HongKong.C.Nagoya.D.Tokyo.

20.Whatdoesthepassagemainlytalkabout?

A.AnintroductionofAsiancities.

B.Themostsuitablecitiestolivein.

C.Asurveyresultof214citiesworldwide.

D.The3mostexpensiveAsiancitiestolivein.

【答案】16.C17.C18.D19.B20.C

B

Sometimeago,amanpunishedhis3-year-olddaughterforwastingarollofgoldwrappingpaper.Moneywas

shortandhebecameangrywhenthechildtriedtomakeabox.However,thelittlegirlbroughtthegifttoherfatherthe

nextmorningandsaid,“Thisisforyou,Daddy.^^

Themanwashappy,buthebecameangryagainwhenhefoundouttheboxwasempty.Heshoutedather,"Don't

youknow,whenyougivesomeoneapresent,thereshouldbesomethinginside?”Thelittlegirllookedupathimwith

tearsinhereyesandcried,“Oh.Daddy,ifsnotempty.Iblewkissesintothebox.They'reallforyou,Daddy.^^The

fatherwasmoved.Heputhisarmsaroundhislittlegirl,andhebegged（，恳求）fbrherforgireness.

Oneday,anaccidenttookthelifeofthechild.Thefatherstillkeptthatgoldboxbyhisbedformanyyearsand,

wheneverhewasdiscouraged,hewouldtakeoutanimaginarykissandremembertheloveofthechildwhohadputit

there.

Inaveryrealsense,wehavebeengivenagoldboxfilledwithunconditionalloveandkisses...fromourchildren,

familymembersandfriends.Therearesimplynootherthings,anyonecouldhold,morepreciousthanthis.

21.Whydidthelittlegirlmakeabox?

A.Tohavefun.

B.Tokeephermoney.

C.Togiveherfatheragift.

D.Tomakeherfatherangry.

22.Whatmadethefatherangryagain?

A.Theemptybox.B.Themagicgift.

C.Thegirfskisses.D.Thegirl'stears.

23.WhatistheChinesemeaningoftheword“forgiveness”?

A.愤怒B.感谢C.道歉D.原谅

24.Whatcanweknowfromthethirdparagraph?

A.Thegirlhatedherfather.

B.Themanmissedhiskiddeeply.

C.Theboxwasreallyfullofkisses

D.Theaccidentnearlykilledthegirl.

25.Whichisprobablythebesttitleforthepassage?

A.AGiftofLove

B.ASadAccident

C.AStrangeGoldBox

D.AFather'sGreatLove

【答案】21.C22.A23.D24.B25.A

C

BeforethediscoveryofDNAinformationinthe1980s,fingerprints（指纹）weretheeasiestwaytosolveserious

crimes.Ifsbelievedthateachoneofushasourownfingerprint.Butdidyouknowthatourfingerprintscouldshowa

lotaboutus?

AccordingtoTheConversation,fingerprintscanshowlifestyleandenvironment,eatinghabits,possiblemedical

problemsandeventhejobofaperson.

Sohowcanweworkallthisoutfromjustasimplefingerprint?

Well,afingerprintisformedwhenafingertouchesasurface.Mostfingerprintscan'tbeseentotheeyeand

requireachemicaldevelopmentprocessinordertomakethemshown.Stuckbetweentheraisedlinesofafingerprint

arethingsthatcantellastoryaboutwhoweare.Thingslikesweat,bloodandfoodshowalotofinformationaboutus.

Besides,itsusecouldbemuchwider.Forexample,itmaybehelpfulinthefuturetodoctorstreatingtheir

patients.Afingerprintcheckmayalsotelladoctorwhetherapatientisproperlyhavingamedicine.Inthetreatment

ofsomeofthemostseriousillnesses,havingpropermedicineisimportant.

Inthefuture,fingerprintsciencecanbeusedbythepoliceandhelpdoctorskeepusinthebestpossiblehealth.

26.WhatcanwelearnfromParagraph1?

A.DNAcanbeusedtosolveseriouscrimes

B.Fingerprintsmayshoweverythingaboutus.

C.Wedidn'tbegintousefingerprintsuntil1980s.

D.Fingerprintsarenowtheeasiestwaytosolvecrimes.

27.Fingerprintsmaynotshowaperson9s.

A.lifestyleB.looks

C.eatinghabitsD.medicalproblems

28.Whatcanmakeafingerprinttellastoryaboutus?

A.Thechemicaldevelopment.

B.Afingertouchingasurface.

C.Thefactthatitcanbeseenclearly

D.Thethingsstuckbetweenraisedlines.

29.Accordingtothepassage,doctorsmayknowaboutpatientsjustthrough.

A.aphysicalexamB.abloodtest

C.afingerprintcheckD.ahealthcheck

30.Whatwillthefingerprint'sfutureusebelike?

A.Itwillbemorewidelyused

B.Itwillnotbeproperlyused.

C.ItwillbebetterthanDNA.

D.Itwillnotbeveryhelpful.

【答案】26.A27.B28.D29.C30.A

第三节阅读填空（共5小题，每小题2分，满分10分）

根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。选项中有一项为多余选项。

Haveyouevercountedthenumberofdigits（位）inyourmobilephonenumber?31Youmay

sometimesfindithardtorememberyournumberThat'sbecauseChinahasthelongestmobilephonenumbersinthe

world.Whyisthat?

32Eachhasadifferentmeaning.Thefirstthreedigitstellyouwhichmobilephoneserviceprovider

youareusing.Thefourthtotheseventhdigitstellyouwherethenumberisregistered.Andthelastfourdigitsare

random.

Themainreasonforusing11digitsisthatwehavethelargestpopulationintheworld.33Butas

mobilephoneusersgrew,therewerenotenoughnumbersforustouse.Sowebegantouse11digitsstartingfrom

1999.Elevendigitscanbeusedtocreatetensofbillionsofmobilephonenumbers.34

BesidesChina,BritainandJapanalsouse11-digitmobilephonenumbers.Buttheirnumbersalwaysstartwith0.

35CountriesliketheUnitedStates,AustraliaandIndiausephonenumberswith10digits.Canada'smobile

phonenumbersareperhapstheshortestintheworld.Theyusesevendigits.

A.Weoncehad1O-digitnumbers.

B.Yournumberhaselevendigits.

C.Butshortnumbersareeasytoremember.

D.The11digitscanbedividedintothreeparts.

E.Sotheycan'tcreateasmanynumbersaswecan.

F.That'senoughforeachofustouse7or8phonenumbers.

【答案】31.B32.D33.A34.F35.E

非选择题

第三部分写（共四节，满分50分）

第一节单词填空（共10小题，每小题1分。满分10分）

根据句意和首字母、音标、中文提示补全单词，并将单词的正确形式完整地填写在答题卡上

（每空一词）。

36.JcomesafterJuneandit'soneofthehottestmonthsinYibin.

【答案】（J）uly

37.Timeflies!Itwon'tbelongbwesaygoodbyetoourbelovedschool!

【答案】（b）efore

38.It'siforeachofustospeakloudlyinpublicplaces

【答案】（i）mpolite

39.Wearesupposedtodoexerciseonceortadaytokeephealthy.

【答案】（t）wice

40.Crosscountryracesusuallytakeplaceinallwconditions,hotorcold.

【答案】（w）eather

41.rdliketo/m'vait/youtojoininourChineseCultureactivity.

【答案】invite

42.AgroupofwildAsianelephantsarestillmoving/no：0/fornoreason.

【答案】north

43.Youngchildrenareoftentaughtroad（安全）toavoidroadaccidents.

【答案】safety

44.Thesedaystherearealreadysomerobots（工作）infactories.

【答案】working

45.“LetnoChinesegohungry!^^hasbeenthe（梦想）ofthegreatheroYuanLongping.

【答案】dream

第二节语法填空（共10小题，每小题1分，满分10分）

根据下面材料•，在空白处填入适当的内容（1个单词）或括号内单词的正确形式。

AllprimaryandsecondaryschoolstudentsinChinawillbebanned（禁止）from46（bring）mobile

phonestoschool,theMinistryofEducation47（announce）inearlyFebruary.

Nomobilephoneswillbeallowedinclassrooms,thenoticesaid.Schoolsshouldnotaskstudents48

（do）homeworkonthephonesandtheyshouldsetupteacherhotlinesandpublicphonesforcommunicationbetween

parents49students,itadded.

Thenewaction50istakentoprotectstudents'eyesightmakessuretheyfocusonstudy.Itcanalso

stopthemfrombecominglostintheInternetandonlinegames.

ZhangTing,themotherofafourthgraderinBeijing,saidshe51（strong）supportedtheban."For

primaryschoolstudents,theknowledgefoundinbooks52(be)enough.Nowadays,informationisbeing

carriedontheInternet,butthecontentremains53sameJZhangsaid."Infbnnationonlineisnot

54(good)thanknowledgelearnedfrombooks.^^

Thewronguseofmobilephonescanbringalotofhealth55(problem).It'salreadycommonpractice

worldwidetolimitstudents9useofmobilephonesinprimaryandsecondaryschools.

【答案】46.bringing

47.announced

48.todo49.and

50.that##which

51.strongly52.is

53.the54.better

55.problems

第三节信息归纳(共5小题，每小题2分，满分10分)

阅读下面短文。根据其内容完成表格中所缺的信息，并将答案填写在答题卡的相应位置。

AChinesesayinggoesthat“Firewood,rice,cookingoil,salt,sauce,vinegarandteaarethesevennecessitiesto

beginaday.,,Withoutdoubt,teaiswelcomedallovertheworld.AccordingtotheUN,teaismorethanjustahot

drink.It'sabigpartofmanyculturesaroundtheworld.

YoupossiblyknowthatpeopleinChinausetop-gradeteatoshowrespectwhenreceivingimportantguests.

Meanwhile,theBritishtraditionofafternoonteaisanimportantpartofthatcountry'sidentity.MakingMalaysia's

pulledteahasbecomeasortofartform.AsanexpressionofMoroccanhospitality(好客)andtradition,minttea-a

mixofgreentea,spearmintleavesandsugar-isservedduringgatherings.

Apartfromitsculturalmeaning,teaisalsoamedicine,usedfromancienttimestomodemdays.LiShizhen,who

wasaChineseMingDynastyherbalist,oncesaid,"Teaiscoldandlowersthefire."Thehealthbenefitsofteaarestill

beingdiscoveredtoday:preventingheartdisease,obesityandcancerhaveallbeenlinkedtodrinkinggreentea,

accordingtotheNationalCenterforBiotechnologyInformationintheUS.

Teais56bypeopleallovertheworld

InChinaPeopleusetop-gradeteatoshow_57_whenreceivingimportantguests.

InMoroccoMintteaisservedduring58.

FunctionofteaTeaisalsoa59.usedfromancienttimestomoderndays.Itiscoldandlowersthefire.

BenefitsofteaGreenteacan60heartdisease,obesityandcancer.

【答案】56.welcomed

57.respect

58.gatherings

59.medicine

60.prevent

第四节书面表达（满分20分）

61.你校EnglishCorner将以“绿色生活，从我做起”为主题，组织全校英语征文比赛。请你以G。加g

GreenStartswithSmallThings为题，用英语写一篇征文参赛。

内容包括：

内容要点具体做法理由

绿色出行步行或骑自行车上学

厉行节约节约用电（或水、食物等）...

其他方式

提出倡议

注意：

1.词数100左右：

2.可以适当增加细节，以使行文连贯；

3.开头已为你写好，但不计入总词数。

参考词汇：电electricity

GoingGreenStartswithSmallThings

Everyonecanmakesmallchangesinlifestyleandmakeadifferencetoreducepollutionandwaste.

【答案】例文:

GoingGreenStartswithSmallThings

Everyonecanmakesmallchangesinlifestyleandmakeadifferencetoreducepollutionandwaste.

First,you'dbetterrideabikeorwalktoschool,becauseifsagreenwaywhichdoesn'tpollutetheair.Second,

savingelectricity,waterandfoodisnecessary.Youshouldturnoffthelightwhengoingout.Turningoffthetapwhen

youbrushyourteethcansavealotofwater.Whafsmore,don'tuseplasticbagswhenyougoshopping,plasticis

harmfultotheenvironment.Lastbutnotleast,weneedtoplantmoretreesandflowerstomaketheenvironmentmore

beautiful.

Howimportantitisforustoprotecttheenvironment!Ifwekeepdoingthis,Ibelievetheenvironmentwillbe

better.Lefsdoittogetherfromnowon.

宜宾市2021年初中毕业生学业考试

数学试卷

注意事项：

L答题前，考生务必将自己的姓名、准考证号填写在答题卡上，并将准考证号条形码贴在答

题卡指定位置。

2.答题时，选择题答案，用2B铅笔将答题卡上对应题目的答案标号涂黑；非选择题答案，用

0.5毫米黑色墨水签字笔，直接写在答题卡上对应的答题区域内。答案答在试题卷上无效。

3.考生必须保持答题卡的整洁。考试结束后，将本试卷和答题卡一并交回。

一、选择题；本大题共12个小题，每小题4分，共48分，在每小题给出的四个选项中，只有

一项是符合题目要求的，请将正确选项填涂在答题卡对应题目上.

1.-2的绝对值是（）

3.2021年宜宾市中考人数已突破64000人，数据64000用科学记数法表示为（）

A.64xl03B.6.4xlO4C.0.64xlO5D.6.4xlO5

4.若长度分别是a、3、5的三条线段能组成一个三角形，则。的值可以是（）

A.1B.2C.4D.8

5.一块含有45°的直角三角板和直尺如图放置，若/1=55°,则/2的度数是（)

A.30°B.35°C.40°D.45°

6.下列运算正确的是（)

。/了。

A.a+a2=a3B.=26C.a6-i-a2=o'D./.々2=々5

7.下列说法正确的是（)

A.平行四边形是轴对称图形B.平行四边形的邻边相等

C.平行四边形对角线互相垂直D.平行四边形的对角线互相平分

XM7

8.若关于x的分式方程」--3=—'有增根，则m的值是（

x-2x-2

A.1B.-1C.2D.-2

9.如图，在△ABC中，点。是角平分线A。、BE交点，若AB=AC=10,8c=12,则tan/O8£>的值是

「V6

3D・手

10.若"7、〃是一元二次方程炉+3/-9=0的两个根，则/篦2+4m+〃的值是（）

A.4B.5C.6D.12

H.在我国远古时期，人们通过在绳子上打结来记录数量，即“结绳计数”，类似现在我们熟悉的“进位

制”.如图所示是远古时期一位母亲记录孩子自出生后的天数，在从右向左依次排列的不同绳子上打结，

满五进一，根据图示可知，孩子已经出生的天数是（）

A.27B.42C.55D.210

12.如图，在矩形纸片ABC。中，点E、尸分别在矩形边A&AO上，将矩形纸片沿CE、C/折叠，点B

落在“处，点。落在G处，点C、，、G恰好在同一直线上，若AB=6,A£>=4,BE=2,则D尸的长是（）

7F）

A.2B.-C.D.3

42

二、填空题：本大题共6个小题，每小题4分，共24分，请把答案直接填在答题卡对应题中

横线上.

13.不等式2x-1>1的解集是.

14.分解因式：a3-2a2+a=

15.从甲、乙、丙三人中选一人参加环保知识决赛，经过两轮测试，他们的平均成绩都是88.9,方差分别是

S甲2=2.25,S乙2=1.81,S丙2=3.42,你认为最适合参加决赛的选手是—（填“甲”或“乙"或"丙”）.

16.据统计，2021年第一季度宜宾市实现地区生产总值约652亿元，若使该市第三季度实现地区生产总值

960亿元，设该市第二、三季度地区生产总值平均增长率为x,则可列方程.

17.如图，。。的直径48=4,P为。。上的动点，连结4尸，。为4尸的中点，若点尸在圆上运动一周，则

点。经过的路径长是.

18.如图，在矩形ABCO中，AD=布AB,对角线相交于点。，动点”从点8向点A运动（到点A即停止）,

点N是AZ）上一动点，且满足NMON=90°,连结MN.在点"、N运动过程中，则以下结论中，①点〃、

N的运动速度不相等；②存在某一时刻使或2二、.。.；③久谢逐渐减小；④MN?=BM?+DN?.正

确的是.（写出所有正确结论的序号）

三、解答题；本大题共7个小题，共78分，解答应写出文字说明、证明过程或演算步骤.

19.(1)计算：(4一3)°-a+4sin60；(g)；

(2)化简：+2"21a,.

\a-1Ja--2a+1

20.如图，已知OA=OC,OB=OD,ZAOC^ZBOD.求证：ZxAOB四△COO.

21.为帮助学生养成热爱美、发现美艺术素养，某校开展了“一人一艺”的艺术选修课活动.学生根据自己

的喜好选择一门艺术项目（4书法，B：绘画，C：摄影，£）：泥塑，£：剪纸），张老师随机对该校部分学

生的选课情况进行调查后，制成了两幅不完整的统计图（如图所示）.

（1）张老师调查的学生人数是.

（2）若该校共有学生1000名，请估计有多少名学生选修泥塑；

（3）现有4名学生，其中2人选修书法，1人选修绘画，1人选修摄影，张老师要从这4人中任选2人了解

他们对艺术选修课的看法，请用画树状图或列表的方法，求所选2人都是选修书法的概率.

22.全国历史文化名城宜宾有许多名胜古迹，始建于明朝白塔是其中之一.如图，为了测量白塔的高度

AB,在C处测得塔顶A的仰角为45°,再向白塔方向前进15米到达。处，又测得塔顶A的仰角为60°,

点8、I）、C在同一水平线上，求白塔的高度A8.（有比1.7,精确到1米）

BD

23.如图，一次函数y=ot+8的图象与反比例函数y=&的图象交于点A、B,与x轴交于点C(5,0),若

X

OC=AC,且久0"=1°

(1)求反比例函数与一次函数的表达式；

(2)请直接写出不等式依+人＞4的解集.

24.如图1,。为③。上一点，点C在直径54的延长线上，且NCQA=/CBZ).

(1)判断直线C。与。0的位置关系，并说明理由；

(2)若tanNAOC=—,AC—2,求。。的半径；

2

(3)如图2,在(2)的条件下，NAOB的平分线DE交。。于点E,交AB于点凡连结8E.求sin/OBE

25.如图1,在平面直角坐标系中，抛物线与x轴分别交于A、B两点，与y轴交于点C(0,6),抛物线的

顶点坐标为E(2,8),连结BC、BE、CE.

(1)求抛物线的表达式；

(2)判断ABCE的形状，并说明理由；

(3)如图2,以C为圆心，行为半径作OC,在。C上是否存在点P,使得的值最小，若存在,

请求出最小值；若不存在，请说明理山.

一、选择题；本大题共12个小题，每小题4分，共48分，在每小题给出的四个选项中，只有

一项是符合题目要求的，请将正确选项填涂在答题卡对应题目上.

1.-2的绝对值是（）

A.2B.—C.----D.—2

22

【答案】A

【解析】

【详解】分析：根据数轴上某个数与原点的距离叫做这个数的绝对值的定义，在数轴上，点-2到原点的距

离是2,所以-2的绝对值是2,故选A.

2.下列图形是轴对称图形的是（）

【答案】D

【解析】

【分析】根据轴对称图形的定义，逐一判断选项，即可.

【详解】解：A.不是轴对称图形，

B.不是轴对称图形，

C.不是轴对称图形，

D.是轴对称图形，

故选D.

【点睛】本题主要考查轴对称图形的识别，熟练掌握轴对称图形的定义，是解题的关键.

3.2021年宜宾市中考人数已突破64000人，数据64000用科学记数法表示为（）

A.64x103B.6.4xlO4C.0.64xlO5D.6.4xlO5

【答案】B

【解析】

【分析】科学记数法的表示形式为“X10"的形式，其中lW|a|＜10,〃为整数，由此即可求解.

【详解】解：由题意可知：64000=6.4x104,

故选：B.

【点睛】此题考查科学记数法的表示方法，属于基础题，关键是确定。的值以及〃的值.

4.若长度分别是。、3、5的三条线段能组成一个三角形，则。的值可以是（）

A.1