2024届扬州市重点中学高考英语三模试卷含解析

2024届扬州市重点中学高考英语三模试卷注意事项：1．答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。2．回答选择题时，选出每小题答案后，用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，再选涂其它答案标号。回答非选择题时，将答案写在答题卡上，写在本试卷上无效。3．考试结束后，将本试卷和答题卡一并交回。第一部分（共20小题，每小题1.5分，满分30分）1．---Whenshallwestartthereconstructionofthehistoricbuilding? ---Notuntilourprogram______bytheauthority. A.willapprove B.willbeapprovedC.hasapproved D.hasbeenapproved2．Atthebackoftheoldtemple__________twelvehugestonestatuestogetherwith__________pagoda.A．doesstand;a8-storeyed B．dostand;a8-storyC．stands;an8-storey D．stand;an8-storied3．F/friendshipsfadeawayifthereisn’t___goodbalancebetweenthegiveandthetake．A．The;/ B．/;a C．The;a D．/;the4．Thegovernmentspokesmanhasto________hiswordsbeforerespondingtoreporters.A．pass B．weigh C．cover D．express5．--Ifeelnervouswhentakinganexam.--andyoucandoitwell.A．TakeitweasyB．TakeyourtimeC．GoodluckD．It’suptoyou6．Whencaught_____intheexam,hebeggedfortheteacher’spardonandtried______punishment.A．cheating;escapingB．tobecheating;toescapeC．cheating;toescapeD．tobecheating;escaping7．China’sChang’e4roboticprobeenteredlunarorbitonWednesday,________amajorstepinitsmissiontomakeasoftlandingonthemoon’sfarside.A．marking B．tomarkC．havingmarked D．marked8．TheartistissaidduringtheproductionandthusapiratedvideowassoldineverypartofKenya.A．tobecheated B．beingcheatedC．tohavebeencheated D．havingbeencheated9．Wehadbetterputoffinterviewingtheathlete,forheisbusypreparingforaninternationalcontest__________inShanghainextmonth.A．held B．toholdC．beingheld D．tobeheld10．ManyteacherslikesurfingtheInternet,________theymayfindalotofusefulvideosaboutteaching.A．which B．whereC．when D．that11．—________yourpurchasesintime,makesuretheexpresscompanyknowsyouraddressexactly.A．Toreceive B．ReceivedC．Receiving D．Havingreceived12．Onlyaftertalkingtotwostudentsthathavingstrongmotivationisoneofthebiggestfactorsinreachinggoals.A．Ididdiscover B．didIdiscoverC．Idiscovered D．discovered13．ThecoatIboughtyesterdayisnotexpensiveatall.Asamatteroffact,Iwouldgladlyhavepaid______forit.A．asmuchtwice B．muchastwiceC．astwicemuch D．twiceasmuch14．Thoughafarmer,Zhuzhiwenhasbecameahugesuccessasasinger,whosestoryisreally________ofgreatinspiration.A．everything B．nothing C．theone D．one15．Ilikesuchhouseswithbeautifulgardensinfront,butIdon’thaveenoughmoneytobuy.A．it B．one C．that D．this16．HadMarynotbeenhurtinthecaraccident,________thenextweek’smarathon.A．shewouldrun B．shewouldhaverunC．shewillrun D．shemusthaverun17．—-Whatdifferencewillitmake_____weshallgototheconcertonTuesdayorSaturday?—Theyofferadiscountonweekdays.A．thatB．whenC．ifD．why18．Takingtargetedmeasurestohelppeopleliftthemselvesoutofpoverty,_____hasbeenpredicted,isfruitful.A．whatB．whichC．asD．that19．We’llgoearly．，wemaynotgetaseat．A．Otherwise B．Meanwhile C．However D．Besides20．Moststudentsstudybecauseit’sunavoidable.________,therearestudentswhoactuallyenjoyit.A．Asaresult B．InadditionC．Inconclusion D．Bycontrast第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。21．（6分）ManyChinesepeoplehaveawakenedtheirinterestinclassicalChinesepoetryrecentlythankstoapopularTVshowthataimsto“appreciateclassicalChinesepoetry,exploreculturalgenesandenjoythebeautyoflife”bycombiningtraditionalliteraryformwithlight-heartedTVquizzes.Theten-episode“ChinesePoetryCompetition”,sinceitsbroadcast,hasbeenpraisedforinjectingvitality(活力)intoTVprogramswithfantasticperformancesofcontestants,impressivecommentsfromjudgesaswellasitsinnovativeinteractivemode.Intheshow,poemscanbeadaptedintosongsordepicted(描绘)throughartisticpictures.Anycontestantwhocanmemorizethelargestnumberofpoemsmaynotnecessarilybethefinalwinner,whilefastreactionandusageofpoemsmatteralotmoreinthecompetition.WuYishu,a16-year-oldstudentfromtheHighSchoolAttachedtoFudanUniversityinShanghai,isthechampionofthisseason.Herrichknowledgeofclassicalpoetryimpressedeveryoneandsherosetobecomefamousonline.Inanearlierepisode,Wuwowedtheaudiencewhenperforminginasection.SheamazinglyrecitedlinesfromtheClassicofPoetry(《诗经》),theearliestcollectionofpoemsinChina.“Learningpoemsisn‘taboutwinningorlosing.Thepowerofpoetryliesinshapingone‘sviewoflifeanddevelopingone‘sinnerworld,”saidLiBo,anexpertguestattheChinesePoetryCompetition‘ssecondseason.Whenitcomestoteachingpeopleaboutpoetry,LiDingguang,theshow‘sacademicadvisor,suggestedthatteachersshouldexplainmoreaboutthebeautyofthepoetryfromboththeaesthetic(审美的)andemotionalsides,andguidestudentstolosethemselvesinthepoems‘rhythmicandrhyming(押韵的)lines.“Althoughtheproportion（比例)ofancientChinesepoemsinthetextbooksofprimaryandsecondaryschoolshasincreased,manystudentsstilllearnthemforexams,”LiDingguangsaid.“Therefore,it‘simportanttohelpstudentstrulyappreciatetheartistryandfunofpoetry.”1、TheTVshowhasbeenproducedto.A．appreciateclassicalChinesepoetryandcherishourtraditionalcultureB．shapepeople‘sviewoflifeanddeveloptheirinnerworldC．helpstudentslearnpoemsforexamsD．exploreculturalgenesandenjoyclassicalChinesepoetryandlife2、WhatdoweknowabouttheTVshow?A．Onlybymemorizingasmanypoemsaspossiblecanacontestantwinthequiz.B．Poemscanbeadaptedintoanyformofartintheshow.C．TheTVshowhasarousedpeople‘sinterestinclassicalChinesepoetry.D．Fantasticperformancesofcontestantsmattermost.3、WhichofthefollowingmayLiDingguangagreewith?A．Thebeautyofthepoetryshouldbeexplainedmorefromtheaestheticandemotionalsides.B．Studentsshouldmemorizethepoems‘rhythmicandrhyminglines.C．Themaindutyofteachersistohelpstudentstrulyappreciatetheartistryandfunofpoetry.D．TherewillbemoreandmoreancientChinesepoemsinthetextbooksofprimaryandsecondaryschools.4、Theunderlinedword“wowed”inthethirdparagraphprobablymeans.A．excitedB．impressedC．puzzledD．inspired22．（8分）WelcometoReadingMuseum’sHands–onLearningserviceReadingMuseumhasbeenofferinglearningopportunitiestoschoolsforover100years,andwithyoursupportwehopetocontinuethistraditionforthenext100years.SESSIONSATREADINGMUSEUMVictorianSchoolroomThesessiontakesplaceinasuperbreconstructionofaschoolroominalatenineteenthcenturyBoardSchool.ThechildrenwillexperiencearangeofVictorianstylelessonsanduseslateboardsanddippens.ThesessionleaderplaystheroleofaVictorianteacherbutwillcomeoutoftheroleduringthesessionthereassurethechildren.Wesupplycostumeforallchildren.VictorianToysOurVictoriannannydeliversthisinterestingsession.Thenannywillhelpchildrentoexplorethedifferencesbetweenrichandpoorchildren’stoysfromthepast.Duringthesessionthechildrenhavetheopportunitytomakeatoytotakehome.VictorianChristmasInaspeciallydecoratedroomthechildrenwillfindouthowtheVictoriansintroducedmanyofourChristmascustoms.Theywillmakeasimplecardorpresenttotakehomeandtakepartinaminipantomime.HOWTOBOOKANEDUCATIONALVISITForuptodatepricesandsessiondetails,pleasevisitourwebsite.uk/schools/sessions/Forallsessionbookingspleasephoneuson01189373400.Weaskthatyoubookatleast4weeksinadvance.Pleasebereadytotelluswhenyouwishtocome,thesession(s)youwishtobookandtheyeargroupofpupils.Oursessionstakeplacebetween10:00and12:00or12:30and14:30.Themaximumgroupsizeis35pupils.Werecommendthatyoubring5adultsforeachgroup.1、WhowillgivetheVictorianstylelessons?A．Thechildren.B．Thesessionleader.C．TheVictoriannanny.D．Thevisitors.2、Youcantakehomethethingsmadebyyourselffrom________.A．VictorianSchoolroom&VictorianChristmasB．VictorianSchoolroom&VictorianToysC．VictorianToys&VictorianChristmasD．Alloftheabove3、Ifyouwanttobookaneducationalvisit,youneedto________..A．gothereinpersonB．callat01189373400C．booktwoweeksinadvanceD．visit.uk/schools/sessions/4、Whichofthefollowingistrue?A．ReadingMuseumhasprovidedlearningservicesfor200years.B．Atleast5adultsarerequiredtoaccompanyeachgroup.C．Theminimumgroupsizeis35pupils.D．Allthesessionslastfor2hours.23．（8分）Thehemlock(铁杉)treesalongtheWappingerCreek,NewYork,lookhealthy.However,scientistGaryLovettsaysthewhiteballswhichprovideprotectionforthebugsarecreatedbyatinyinsect.It’shardtobelievethetinybugcouldkillatree.However,treescanendupwithmillionsandmillionsofthepests.Whentherearethatmany,itendsupkillingthetree.ThebugfromEastAsiaisslowlykillingtreesacrosstheUSA．Thetrouble－makingbugisjustoneofmanyinvasive(入侵的)peststhathaveslippedintotheUnitedStates.Theycanhurtotherlivingthingsintheirnewhome.Manyinvasivepestsarriveonwoodenpalletspiledinsideshippingcontainers.Theysupportandseparategoods,andkeepthemfromslidingaround.Invasivepestsoftentunnelintothepallets.Howcanwestoppestsfromridingonpallets?Lovettsaysnewrulesareneeded.Thecompaniesthatmakepalletsdon’twantmorerules.Congresshasaddedanamendment(修正案)inthe2018FarmBilltotryandpreventthisproblem.However,Lovettisnothopefulitwillmakemuchofadifference.Palletsarecheckedbyinspectors.Manyaresprayedwithbug－killingpesticide.“Ibelieveinthesystem，”saidBrentMcClendon,presidentofTheNationalWoodenPalletandContainerAssociation.Healsosaidshippingcontainersarecheckedverycarefully.Still,eachyear13millioncontainersareshippedtotheU.S.Eachisfullofwoodenpallets.Lovettsays:“Inspectorscan’tpossiblycheckeverything.Allittakesareafewbadpallets;weshouldgetridofwoodenpallets.”Hebelievespalletsshouldbemadeofplasticoreco－compositewood.Eco－compositewoodisamixofwoodfiberandplastic.Insectscannothideintoit.Oneproblemisthatthesechoicescostmore.Theymaybeworththeextramoney,though.InvasivepestscosttheU.S.$5billionayear.Treesdon’tjustdieinforests.Theyalsodieincitiesandouryards.Then,theyneedtobereplaced.Thatcostsmoney,too.1、AllthestatementsareTRUEexceptthat________.A．pesticidehasbeenappliedtobug－killingB．thecompaniesmakingpalletsdon’twantmorerulesC．invasivepestshideinpalletsusedinshippingD．invasivepestsarenativetoWappingerCreek2、Whatcanweinferfromthepassage?A．Bugswon’tbotherthetreeifjustinfewnumbers.B．Bugsruintheshippinggoodsslowly.C．Bugscanbeeasilyspottedbyeyes.D．Bugscovertreeswithwhitesoftballsforprotection.3、WhydoesGaryLovettwanttogetridofwoodenpallets?A．Becauseinsectsmostlydieinthem.B．Becausetheyarethemajorpestcarriers.C．Becausetheyarenotworthextramoney.D．Becauseplasticpalletsareeco－friendly.4、Whatdoesthepassagemainlytalkabout?A．Congresscontributesalottodealingwithinvasivepests.B．Effectivemeasureshavestoppedthepestinvasion.C．InvasivepestsareharmingplantsintheUSA．D．EcosystemintheUSAispoorlydamagedbyinvasivewoods.24．（8分）TheAmericandreamisthefaithheldbymanypeopleintheUnitedStatesofAmericathatthroughhardwork,courage,creativityanddetermination,theycanachieveabetterlifeforthemselves.Morespecifically,theyagreeonhowtogetaheadinAmerica:getacollegeeducation,findareliablejob,and

buy

theirown

house.

ButdoAmericansstillbelieveinthatpath,andiftheydo,isitattainable?The

most

recent

National

JournalpollaskedparticipantsabouttheAmericandream,whatittakestoachievetheirgoal,andwhetherornottheyfeltthecontrolovertheirabilitytobesuccessful.Obviously,theresultsshowthattoday,theideaoftheAmericandreamandwhatittakestoachieveitlooksquitedifferentfromitdidinthelate20thcentury.Generallyspeaking,peoplefeltthattheiractionsandhardworknotoutsideforcedecidingtheirlives.Buttheparticipantshaddefinitelymixedfeelingsaboutwhatactionsmakeforabetterlifeinthecurrenteconomy.Inthelastsevenyears,Americanshavegrownmorepessimistic(悲观的)aboutthepowerofeducationtoleadtosuccess.Eventhoughtheyseegoingtocollegeasafairlyachievablegoal,amajority52percentthinkthatyoungpeopledonotneeda4-yearcollegeeducationinordertobesuccessful.MiguelMaeda,42,whohasamaster’sdegreeandworksinpublichealth,wasthefirstinhisfamilytogotocollege,whichhasallowedhimtoachieveasenseoffinancialstability(稳定)hisparentsandgrandparentsneverdid.Whilesome,likeMaeda,emphasizedthevalueofdegreeratherthantheeducationitself,othersstillseecollegeasawaytogainnewviewpointsandlifeexperiences.ToFendley,asenseofdriveandpurpose,aswellasaneffectivehigh-schooleducation,andbasiclifeskills,likebalancingacheckbook(支票簿),arethenecessaryelementsforasuccessfullifeinAmerica.1、ItusedtobecommonlyacknowledgedthattosucceedinAmerica,onehadtohave____.A．asenseofdriveandpurposeB．anadvancedacademicdegreeC．afirmbeliefintheirdreamD．anambitiontogetahead2、WhatisthefindingofthelatestNationalJournalpollconcerningtheAmericandream?A．MoreandmoreAmericansarefindingithardtorealize.B．ItremainsaliveamongthemajorityofAmericanpeople.C．AnincreasingnumberofyoungAmericansareabandoningit.D．Americans’ideaofithaschangedoverthepastfewdecades.3、WhatdoAmericansnowthinkoftheroleofcollegeeducationinachievingsuccess?A．Itstillremainsopentodebate.B．Ithasprovedtobebeyonddoubt.C．Itismuchbetterunderstoodnowthanever.D．Itisnolongerasimportantasitusedtobe.4、Howdosomepeopleviewcollegeeducationthesedays?A．Ithelpsbroadentheirminds.B．Itneedstobestrengthened.C．Itwidensculturaldiversity.D．Itpromotesgenderequality.25．（10分）Whenyou’rechoosingacollege,alotoffactorsprobablymaybeconsidered:theschool’sreputation,theclassesoffered,andtheprofessorsinyourmajor,tonameafew.However,consideringtheincreasingcompetitivenessofuniversitiestoattractmoreandmoreapplicants,manyschoolsnowofferextrabenefitstobeenjoyedbyalloftheirstudents.Herearesomeofthecoolest:UniversityofMissouriWhenyouthinkofacampusgym,youprobablypicturearoomequippedwitholdweightsandout-of-datemachines.However,attheUniversityofMissouri,youcanenjoyoneofthebestcampusfitnesscentersinthecountry.Itfeaturesan“indoorbeach”completewithawaterfallandalazyriver,aswellasafull-servicespa.Evenifyoudon’tnormallyenjoyworkingout,Missouri’sfitnesscenterwillgiveyouareasontogotothegym.HighPointUniversityIfyouseeyourselfquicklytiredofdininghallfood—somethingthathappenstoalmostallofus—HighPointUniversityinNorthCarolinahasagreatoptionforyou:aprivatesteakhouseforstudents.It’safirst-classrestaurant,and,bestofall,youdon’thavetopayforthemealoutofyourownpocket.Youcanuseyourdiningdollarsinstead.SetonHallUniversityIfyou’restressingoutabouttheextracostoftechnologywhenyoustartcollege,SetonHallhasgreatnewsforyou:allfreshmenaregivenfreelaptopsthroughtheuniversity’sMobileComputingProgram.Asafreshman,you’llreceivealaptopalreadysetupwithallofthesoftwarethatyou’llneedasastudent.Then,aftertwoyears,you’llreceiveanewandupdatedlaptopdesignedtocarrytothroughuntilafteryougraduate.NewYorkUniversityIfyou’reafanofmuseums,NYU(NewYorkUniversity)istheperfectuniversityforyou:notonlyareyoulocatedintheheartofacityfeaturingsomeofthebestmuseumsintheworld,buttheuniversitywillevenprovideyouwithfreeadmissiontomanyofthem.Youcantakeadvantageofvisitingfreemuseumsatanytimeyouwant—andyou’llneverbeboredontheweekends.1、WhatcanwelearnfromParagraph1?A．Itishardtobeadmittedtoauniversity.B．Auniversity’sfameisthetopconsideration.C．Thecompetitiontoattractapplicantsisfierce.D．Extrabenefitsmakesnodifferencetoapplicants.2、WhatcanwelearnaboutthefitnesscenterintheUniversityofMissouri?A．Itsequipmentisoutofdate.B．Itisthebestoneintheworld.C．Ithasarealbeachthere.D．Itcanarousestudents’interestinworkout.3、Whichuniversityoffersextrabenefitoffood?A．UniversityofMissouri. B．HighPointUniversity.C．SetonHallUniversity. D．NewYorkUniversity.4、WhatcanbeguaranteedforstudentschoosingSetonHallUniversity?A．Freetuition. B．Freeaccommodation.C．Freecomputers D．Highgraduationrate.5、WhichofthefollowingistrueofNewYorkUniversity?A．Itislocatedinthecenterofthecity.B．Ithousesthebestmuseumsintheworld.C．Allthemuseumsareopentoitsstudentsforfree.D．Museumsareusuallyclosedontheweekends.第三部分语言知识运用（共两节）第一节（每小题1.5分，满分30分）阅读下面短文，从短文后各题所给的A、B、C和D四个选项中，选出可以填入空白处的最佳选项．26．（30分）Charliewasarichboywhohadmoretoysthanyoucouldimagine.Hisfamilyhadalotofmoney,and1helikedsomething,theywouldbuyitforhim.Then,hehadnoideawhatthingscost,andwouldn't2totakecareofwhathehad.Nordidherealisehowdifficultitwasforotherchildrentogettoysliketheoneshehad.Atimecame,though,whenhewas3usedtoallhistoysandvariousstuffthathebegantowantsomething4OneofhisunclesfoundafinehorseandhegaveittoCharlie.Charliewasvery5athavingahorse.Hehadnevergotsomethinglikethatbefore.However,he6thehorsejustasbadlyashedidallhisothertoys,anditsoonstartedlooking7ForthefirsttimeinhislifeCharliebecametruly8Helovedthehorse,andthefactthathisfamilyhadofferedtoexchangeitforanewonemeantnothingtohim.Oneday,whileinthecountryside,hesawagirlwithahorse.Thegirllookedverypoor,butthehorseseemedhappyandlookedgreat.Wonderinghowshehad9this,Charliesecretlyfollowedher,watchingeverythingshedid.Firsthefollowedthemthroughtheforest,wherehesawthatsheneverusedthewhip,andnever10thehorse.Thentheycametothestable,and11theyarrivedthegirlfedandwateredthehorse.Thenshecarefullygroomed(照顾)it.Charliewassurprised.Thiswasthe12ofwhatCharliehaddonetohishorse.Charliewantedto13andbecomelikethegirl.Asnoonehadshownhimhowtodothis,he14toherandaskedhertoteachhimhowtolookafterhishorse.Afterherinitialsurprise,shehappily15Withherhelearnedhowto16careandeffortintothings.Helearnedthathecouldbemuch17withonlyafewspecialthingsthatyoutruly18,thanwiththousandsoftoysthatwereonlygoodforashorttimeandwerethen19aside.Whenthehorsefinally20allitsstrengthandhealth,Charliewashappythathisefforthadbeenworthwhile.1、A．whicheverB．wheneverC．whateverD．however2、A．refuseB．botherC．obeyD．hesitate3、A．soB．asC．quiteD．very4、A．usualB．differentC．rightD．expensive5、A．excitedB．interestedC．annoyedD．hopeful6、A．operatedB．commandedC．trainedD．treated7、A．tiredB．puzzledC．gratefulD．sick8、A．worriedB．patientC．ashamedD．doubtful9、A．controlledB．learnedC．managedD．prepared10、A．scratchedB．hitC．brokeD．damaged11、A．evenifB．everytimeC．nowthatD．soonafter12、A．gloryB．devotionC．oppositeD．assumption13、A．changeB．continueC．inspectD．overcome14、A．gotoverB．turnedoverC．tookoverD．wentover15、A．agreedB．receivedC．adoptedD．responded16、A．giveB．putC．spendD．take17、A．stringerB．higherC．happierD．smarter18、A．caredforB．cutdownC．pouredintoD．lookedup19、A．pickedB．droppedC．passedD．thrown20、A．relievedB．recoveredC．lostD．grasped第二节（每小题1.5分，满分15分）阅读下面材料，在空白处填入1个适当的单词或括号内单词的正确形式。27．（15分）Directions:Afterreadingthepassagebelow,fillintheblankstomakethepassagecoherentandgrammaticallycorrect.Fortheblankswithagivenword,fillineachblankwiththeproperformofthegivenword;fortheotherblanks,useonewordthatbestfitseachblank.ItwasacoldwinterdaythatSunday.Theparkinglottothechurchfilledupquickly.Inoticed,asIgotoutofmycar,fellowchurchmembers1．(whisper)amongthemselvesastheywalkedinthechurch.AsIgotcloser,Isawamanleaningupagainstthewalloutsidethechurch.Hewasalmostlyingdown2．hewereasleep.Hishatwaspulleddownsoyou3．notseehisface.Heworeshoes4．looked30yearsold,toosmallforhisfeet,withholesalloverthem,histoesstuckout.Iguessedthismanwashomelessandasleep,soIwalkedonbythroughthedoorsofthechurch.Wealltalkedforafewminutes,andsomeonementionedtheman5．(lie)outside.Peoplewhisperedbutnoonetooktrouble6．(ask)himtocomein,includingme.Afewminuteslaterchurchbegan.WeallwaitedforthepreachertotakehisplaceandtogiveustheWord,whenthedoorstothechurchopened.Incamethemanwalkingdownthechurchwithhisheaddown.Peoplegaspedandwhisperedandmadefaces.Hemadehiswaydownthechurchandupontothepulpit(讲坛)7．hetookoffhishatandcoat.Myheartsank.There8．(stand)ourpreacher...hewas9．“homelessman”.ThepreachertookhisBibleandlaiditonhisstand.“Folks,Idon’tthinkIhavetotellyou10．Iampreachingtoday.Ifyoujudgepeoplebytheirappearance,youhavenotimetolovethem.”第四部分写作（共两节）第一节短文改错（满分10分）28．（10分）假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。文中共有10处语言错误，每句中最多有两处。错误仅涉及一个单词的增加、删除或修改。增加：在缺词处加一个漏字符号(∧)，并在其下面写出该加的词。删除：把多余的词用(＼)划掉。修改：在错的词下画一横线，并在该词下面写出修改后的词。注意：1、每处错误及其修改均仅限一词；2、只允许修改10处，多者（从第11处起）不计分。Questioningcanleadtofindananswer．Ifweareinhabitofraisingdoubtsastoifwhatwearetoldistrue,wecanfindthecorrectanswerandlearnmore．Twoyearsago,ourteacherofferedtousananswertoadifficultmathprobleminclass．Althoughtheanswerseemedalittlestrangely,nobodybutIdoubtedit．