2025-2026学年四川省广元市某中学高二上学期9月月考英语试题

高级中学名校试卷PAGEPAGE1四川省广元市某中学2025-2026学年高二上学期9月月考英语试题第一部分听力（略）第二部分阅读理解（共两节，满分50分）第一节（共15小题；每小题2.5分，满分37.5分）阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。AFarmers’marketsareprovingpopulardestinations—particularlyforyoungpeople—astheyshowcaseacity’sauthenticcustomsandtraditions.Xi’an:JianguomenMarketLocatedattheeasternendofthecitywallinXi’an,Shaanxiprovince,JianguomenMarkethasahistoryofmorethan20years.Thegroundfloorfeaturesabundantsuppliesofneatlyarrangedfruitandvegetables.Visitors’purchasesoffreshproduceareprocessedonthesecondfloor,whilethethirdfloorhasbeentransformedintoanartexhibitionhallcompletewithtallfiberglasswindowsthatallowplentyofsunlight.Peoplecanenjoyvariousthemedartexhibitionshere.Openingtime:8:30—18:00Beijing:SanyuanliMarketAninterestincookingislikelytobeinspiredbywanderingthroughthismarketinChaoyangdistrict,Beijing.Establishedin1992,itoffersawiderangeoffreshvegetables,meatandfruit,andspecialtyingredientsfromaroundtheworld.Themarketcanmeettheneedsofmostcustomersfromneighboringcommunitiestofive-starhotels.Moreover,numerousstallownersareskilledinforeignlanguages.Openingtime:9:00—19:00Shanghai:WuzhongMarketWuzhongMarkethasahistoryoftwoorthreedecades,duringwhichithasundergonemanytransformations.Anditreopenedtothepublicin2019.Manylocals’favoritefood,rangingfromChongmingricefromShanghai,ZhoushanseafoodfromZhejiangprovince,mushroomsfromYunnanprovince,andsometropicalfruitsfromSoutheastAsia,canbefoundhere.Therearealsovarioussemi-finishedproduceandcookedfood.Openingtime:7:00—18:30Harbin:DaoliFoodMarketDaoliFoodMarket,foundedin1902,isoneofthethirteenmajormarketsinChina.Thistwo-flooroutletcovers130,000squaremetersandittakeshalfadaytofullyexplorewhatithastooffer.Localbreadbiggerthanahumanhead,redsausagesandsteamingporkstewallpromisetosatisfyvisitors’tastebuds.Manylocalsoftendragalongtheirsuitcasestobuygroceries.Openingtime:8:00—18:001.WhatmakesJianguomenMarketdifferentfromtheothers?A.Peoplecanbuyallkindsoffreshvegetableshere.B.Peoplecanseelotsofartexhibitionsonthethirdfloor.C.Thismarkethasthelongestopeningtime.D.Peoplealwaysdrawtheirsuitcasestobuygroceries.2.WhatdoSanyuanliMarketandWuzhongMarkethaveincommon?A.Theybothsellfruitfromforeigncountries.B.Youcanbuycookedfoodinthetwomarkets.C.Thesellerscanspeakforeignlanguages.D.Visitors’purchasescanbeprocessedhere.3.Whichmarkethasthelongesthistory?A.JianguomenMarket. B.SanyuanliMarket.C.WuzhongMarket. D.DaoliFoodMarket.BTwoyearsago,twohigh-schoolclassmateseachcomposedamathematicalwonder—atrigonometricproofofthePythagoreantheorem(毕达哥拉斯定理的三角证明).Now,atage19,they’vereportedfinding10moreproofsofit.For2,000years,suchproofswereconsideredimpossible.Butthatdidn’tdiscourageNe’KiyaJacksonandCalceaJohnson,whopublishedtheirnewproofsonOctober28inAmericanMathematicalMonthly,showing“youcanmakeasplash(引人注目)evenasahigh-schoolstudent”.TheteenstackledPythagoras’theorem.In1927,mathematicianElishaLoomisclaimedthatitcouldneverbeprovedusingtrigonometry.Butin2009mathematicianJasonZimbaannouncedthefirsttrig-basedproofofPythagoras’theorem.ThesecondcamesixyearslaterfrommathematicianNunoLuzia.Theseweretheonlytwountil2022,whenJacksonandJohnsonpresentedtheirfirstproofs,bothseniorsatSt.Mary’sAcademy.“Thisprovedtobethemostchallengingtaskofall,”theynotedintheirpaper.Theyhadtowriteuptheirworkandlearnnewskills,likecoding.Butworkingontheearlyproof“inspiredthecreativeprocess.”Jacksonsays.JacksonandJohnsononlypublishedfiveproofsanddecidedtoleaveanotherfiveproofs“forinterestedreaderstodiscover”,theywroteinthepaper.Publishingtheproofswasabigachievement.Butthatdoesn’tmeanthestoryisover.Now,“otherpeoplemighttakethepaperandgeneralizethoseproofs,orgeneralizetheirideas,”mathematicianLozano-Robledosays.“Itjustopensuplotsofmathematicalconversations.”Jacksonhopestheproofswillinspireotherstudentsto“seethatdifficultiesarepartoftheprocess.Stickingwithit,youmightfindyourselfachievingmorethanyouthoughtpossible.”4.Whyaresomemathematiciansmentionedinthetext?A.Torevealthepressuretheyputonthetwogirls.B.ToexplaintheirproofsofPythagorastheorem.C.Toprovethegreatnessofthetwogirls’achievements.D.Tostressthedifferenceoftheirviewsofthetheorem.5.WhatwillbetheresultofpublishingtheproofsaccordingtoLozano-Robledo?A.Theproofswillbepromoted. B.Itwillleadtomoreconflicts.C.Itwillshockseniormathematicians. D.Pythagoras’theoremwillbecorrected.6.WhatdoesJacksonwishfor?A.Discoveryofanotherfiveproofs. B.Students’perseverancefacingdifficulty.C.Students’greatinterestinmathematics. D.Properuseoftrigonometryindailylife.7.Whatmessagecanwegetfromthepassage?A.Wellbegunishalfdone. B.Itisnevertoooldtolearn.C.Ageisjustanumber,notastateofmind. D.Asmallstarcanalsoshineinthedarkness.CWhenvisitingadoctorinthefuture,youcanexpecttobeaccompaniedbyavirtualversionofyourself.Thisso-calleddigitaltwinwillbeaworkingmodelofyourbodythatcanbeshownonaphysician’scomputerscreen.Updatedwithyourlatestvitalsigns,itwillhelpthedoctormakeanaccuratediagnosis(诊断)andprovidepersonalizedtreatmentsforthepatients.Nomatterhowunrealthismightseem,theresearchersatQueenMaryUniversityofLondon(QMUL)alreadyusecomputersimulations(模拟)oftheheartsofpatientstotestdifferenttreatmentsforaheartdisorder.Itwouldbefartoodangeroustoexperimentthiswayonsomeone’srealheart.Digitaltwinsarestartingtobeseeneverywhere.Theycannotonlymonitorthehealthofjetenginesonairliners,butalsohelpcarmakersspendfeweryearsonthedevelopmentofnewmodelsbysimulatingtestdrivesandcrashes.AllthisisbeingpoweredbyrecentprogressinAI,whichgivestwinstheabilitytomakepredictionsabouttheirphysicalcounterparts(对应的事物),andadjustthemselvesbasedonnewinformation.Digitaltwinsmakeiteasierforhumanstosolvechallengingproblems,allowingpeopletohavealookintothefuture.Forbusinesses,thisshouldmeanbetterdesignsandoperations.Forsociety,thepromiseisalsofascinating:personalizedhealthcare,andwaystopreventtheearthfromenvironmentaldisasters.Couldthesevirtualtwinsgooutofcontrol?Theymightiftheyareprogrammedbadly,orhackedinto.Digitaltwinswilltakeinmountainsofdata,someofitwrongandmuchofitraisingconcernsaboutprivacy.Yetthoserisksareanaturalpartoftechnologicalprogress.Theappearanceofthedigitalmirrorworldwillraisenewquestions,butitspotentialbenefitsarealreadyeasytosee.8.Whichofthefollowingbestdescribesadigitaltwin?A.Avirtualcopy. B.Avideogame. C.Atoymodel.D.Amedicaldatabase.9.WhydoresearchersatQMULusecomputersimulationsofhearts?A.Toreducethetimeoftheheartoperation.B.Touserealheartsmuchmoreconveniently.C.Tohelpincreasethepatients’recoveryrates.D.Toavoidthedangerofexperimentingonrealhearts.10.HowdoesAIcontributetothedevelopmentofdigitaltwins?A.Itincreasestheefficiencyofsimulationsthroughdataanalysis.B.Itcreatesaccuratedigitalcopiesformedicalandindustrialuse.C.Itenablesdigitaltwinstopredictresultsandadaptontheirown.D.Itimprovesvirtualmodelsbyaddingreal-timemonitoringfeatures.11.Whatistheauthor’soverallattitudetowardthedevelopmentofdigitaltwins?A.Cautiouslyoptimistic B.StronglysupportiveC.Clearlycritical D.DeeplyambiguousDForalucky32percentorsoofhumans,happinessmayseemlikeamatterofgoodgenes.That'sbecausetheirDNAencodes(解码)forcertainpersonalityquality,likeoutgoingandlowanxiety,whicharecloselylinkedtoincreasedlevelsoflifesatisfaction.Instudiesoftwins,thosegeneticdifferenceshelpexplainwhyonetwinwashappierwiththeirlifethantheother.Butahappylifeisn'tentirelydeterminedbygenetics.Forthemostpart,yourhappinessisimpactedbyenvironmentalandbehavioralfactors,aspectsofyourlivesoverwhichwecanexercisesomecontrol.Andtherearemoredirectwaystoboostourhappinesslevel,too.Oftenreferredtoas“positivepsychology,”agrowingbodyofevidencesuggeststhereareinterventionsthatcanteachpeoplehappinessskills,likehowtobemorecompassionatewiththemselves,orhowtoenjoypositiveexperiences.Someemphasizereflectingonyourpersonalstrengthsandvalues.Othersinvolvethoughtsorconnectingwithothers.Admittedly,nonewillleadtoexcitement—buttheycanmakeameaningfuldifferenceinyourlife.AresearcherLyubomirskycompareslearninghappinesstocreatingexercisehabits;aroutinethathastobepracticedfrequently.Onestrategysherecommendsiswritingthank-youletterstopeopleinyourlife.Butthere'snomagicsetofpractices,though.That'swhyLyubomirskysaysit'simportanttofindtechniquesthatworkforyou.Ifathank-youlettergetsboringorisn'tyourthing,trycallingafriendorthinking.Butneithergenesnorclinicallytestedexercisescanprotectpeoplefromtherealitythatlifeishard.Duringthepandemic,Santosfoundherselfoverworked,exhaustedandnearlyclosetoburnout.Shewasfortunateenoughtotakeaholidayandpracticethestrategies.TheexperiencehasbeenanimportantreminderforSantosthateventhemostscientificallysupportedexercisescan'thelpifyoudon'tdothem.“ThestrategiesIteachwork,”shesays.“Butyouhavetomakesureyou'refollowingthemandputtingthemintopractice,whichtakesregularworkandeffort.”12.Whichfactorsmainlyinfluencepeople'shappinessmost?A.Theinbornpersonalityaspects. B.Theeducationthatpeoplereceive.C.Thelivingenvironmentandhabits. D.Theinterpersonalrelationship.13.Howcanwelearntobehappy?A.Exploreourshiningpoints. B.Comparewithotherpeople.C.Appreciateallourlifeexperiences. D.Thinkforothersinsteadofourselves.14.WhatdoesSantossuggestpeopledo?A.Writethank-younotestotheirparents. B.Takeabreaktorelievetheirburden.C.Findamethodsuitabletothemandsticktoit. D.Readmorebookstogetthepracticaltechniques.15.Whatcanbeasuitabletitleforthetext?A.Trainyourselftobepositive. B.Saynotonegativeinfluences.C.Theimportanceofpsychology. D.Thesecretofpersonalityquality.第二节（共5小题；每小题2.5分，满分12.5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，选项中有两项为多余选项。Agoodlaughislikeamildworkout.Itexercisesthemuscles,getsthebloodflowing,decreasesbloodpressureandimprovessleeppatternsandtheimmunesystem._____16_____.Don’ttakelifetooseriously.Weallhaveobstaclesinlifeandweallmakemistakes._____17_____Infact,ifyoucanlaughlight-heartedlyatyourownfault,you’llfindthatyougiveyourselfthatextrahappinessandconfidenceincreasethatcangetyouoveranyobstacle.Findthehumorinabadsituation.Sure,therearesomesituationswhereyouarereallysad._____18_____Thenexttimeyoufeelthestresslevelsrising,takeaminutetothinkaboutthefunnysideofthesituationandlaughoverthethingsyoucannotcontrol.Thiswillloweryourbloodpressure,bloodsugarlevelsandheartrate.Remindyourselfoffunnymomentsfromthepast.Perhapsafriendtoldyouagreatjoketheotherdayoryourchildrenorpetsdidsomethingamusing._____19_____.Sometimesjustrelivingafunnymomentcancausetheendorphins(内啡肽),naturalpainkillers,tokickin.___20___.Asthesayinggoes,laughteriscontagious(会传染的）.Somakeapointofseekingoutpositivepeoplewhoaren’tafraidtolaughatthemselvesandaregoodatfindinghumorinlife’ssituations.Youngchildrenareespeciallyskilledatfindinglaughterandjoyineverydaymoments.A.Takecontroloveryouremotions.B.Thereisnoreasontoblameyourselfforit.C.However,mostsituationsinlifehavefunnysides.D.Surroundyourselfwithfunpeoplewholiketolaughalot.E.Thefollowingaresomewaystoenjoymorelaughterandjoyinyourlife.F.Studiesshowthatpeoplewithpetshavelowerlevelsofdepressionandstress.G.Callonthesememoriesfrequently,especiallywhenfeelingsad,angryorstressed.第三部分语言运用（共两节，满分30分）第一节完形填空（共15小题，每小题1分，满分15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。JuleusGhuntaisapublishedchildren’sauthorandaward-winningpoet.Butwhenhewasyoung,hecould____21____read.HegrewupwithhisthreesistersinruralWesternJamaica,raisedbytheirsinglemother.Lifewastough,andproperschoolingwasoutofthequestiondueto____22____resources.WhenGhuntafinallywenttoschool,hecouldn’t____23____onreading.Notonlyhadhebeenkepthomefromschoolasachild,buthehadnotbeen____24____tobooks.Bysixthgrade,hecouldspellhisname,butstillcouldn’tmakeoutwordsorreadwith____25____.Hestruggledinschoolwithadeepsenseofloss,feelinghedidnot____26____anysuccess.Atage12,ayoungteacher-in-trainingstartedaspecialreadingprogramfor____27____students.Ghuntawasthefirsttojoin.Thatteacher,whosenamehecannolonger____28____,becameGhunta’sunsunghero—thepersonwhochangedhislife.Theteacherwasincrediblykindand____29____,nevergivinguponhimevenwhenhefeltlikegivinguponhimself.Underherguidance,Ghunta’sreadingskillssawmarkedimprovement,andhissenseofinadequacybeganto____30____.“Shehadleftmewiththegiftofliteracy,”hesaidwitha____31____.“Andadeeperappreciationofmytalent.Thatwasatrue____32____.”AfterGhunta’sexperiencewiththeteacher,hislifecourse____33____.Hegraduatedwithacademichonorsandisnowtheauthoroftwochildren’sbooks,including“RohanBullkinandtheShadows”.Yearslater,Ghuntareturnedtohisoldschoolandaskedtheprincipalandteachersiftheyknewhername,butnonedid.Carryingthismemory,however,hestillhopestofindandthankherforseeinghis____34____andbeingasourceoflightandhopeinhislife.Hebelievesherinfluencewas____35____tohissuccess.21.A.merely B.rarely C.totally D.simply22.A.abundant B.public C.limited D.financial23.A.giveup B.fallbehind C.missout D.catchup24.A.exposed B.drawn C.adapted D.devoted25.A.reference B.hesitation C.caution D.understanding26.A.awe B.deserve C.remark D.wonder27.A.disappointing B.struggling C.advanced D.qualified28.A.recall B.respect C.pronounce D.recognize29.A.serious B.persevering C.qualified D.experienced30.A.disappear B.endure C.form D.spread31.A.sigh B.cry C.grin D.whisper32.A.risk B.approach C.blessing D.determination33.A.informed B.revealed C.shifted D.rejected34.A.fame B.potential C.optimism D.outcome35.A.accidental B.essential C.similar D.dim第二节语法填空（共10小题，每小题1.5分，满分15分）阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。TheSeptember3rdMilitaryParade(阅兵)inBeijingleftadeepimpressiononeveryone.____36____movedtheaudiencemostwasthesoldiers’strongwillandperfectdiscipline.Theymarchedwith____37____(enthusiasm)anddeterminedlooks,whichwastrulyinspiring.Whenviewers____38____(face)withsuchapowerfulscene,theyfeltimmensepride.Theplanesflew____39____(gentle)acrosstheclearbluesky,formingbeautifulpatterns.Soon,peoplecametothe____40____(conclude)thattheparadewasagreatsuccess.Thissuccesswasachieved____41____meansofcarefulplanningandcontinuouspractice.When____42____(entertain)bytheexcitingflyingshows,thecrowdcheeredwithjoy.____43____totalof12,000peopletookpartintheparade,someof____44____werefemalesoldiersfromdifferentunits.Foralltheparticipants,beingpartofthiseventmeant____45____(experience)monthsofhardtraining,butitrepresentedthehighesthonor.第四部分写作（共两节，满分40分）第一节（满分15分）46.学校英文报正在开展以“HowtoSpendOurNationalHoliday”为题的讨论。请根据表格中的调查结果写一篇短文投稿，内容包括：1.调查结果描述；2.简单评论；3.你的建议。如何度过国庆节调查结果方式学习娱乐社会实践，志愿活动人数百分比60%15%25%注意：(1)写作词数应为80左右；(2)可以适当增加细节，以使行文连贯。____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________第二节（满分25分）47.阅读下面短文，根据所给情节进行续写，使之构成一个完整的故事。Mikewasan11-year-oldboy.Hewastheonlysontohisparents.Hisfatherwasacarpenterandhismotherwasahousewife.Althoughtheyweren'trich,theyledahappylife.Mike’sschoolwaslocatedamileawayfromhishome.Mike’sbirthdaywascominginaweek.Herequestedhisfathertobuyhimabicyclesothathecouldgotoschoolbybicycle.Hisfatheralsopromisedtobuyhimabicyclesothatheneedn'twalktoschoolanymore.Mikefeltsohappy.Thebirthdayboywokeuphappilywithhisparentswishinghimwithallsmiles.Hewasgladandexpectedthathisfatherwouldgifthimabicycle.Hisfathergavehimanicely-wrappedgift.Mikeopeneditandsawasetofbooks.Althoughhewasalittleunhappyashedidnotreceiveabicycle,hethankedhisfather.Mike’sfatherwasdepressedashedidnothaveenoughmoneytobuyMikeabicycle.Hepromisedtohissonthathewouldbuyhimabicyclesoon.Afteraweek,whenMikewaswalkingonhiswaytohishomebackfromschool,hesawaboyridingabicycle.Mikefeltthatthebicyclewastoosmallforthebigboy.Suddenly,theboycrashedintoapostaroundthecornerandskidded(滑行)inthestreet.Mikerushedtohimandrecognizedthattheboywashisschoolmate,Sam.注意：1、所续写短文的词数应为150左右；2、续写部分分为两段，每段的开头语已为你写好；Paragraph1SamwasinjuredbadlyandtherewasnoonenearbytohelphimexceptMike.____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Paragraph2SamandhisparentsthankedMikeforthetimelyhelp.____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________四川省广元市某中学2025-2026学年高二上学期9月月考英语试题第一部分听力（略）第二部分阅读理解（共两节，满分50分）第一节（共15小题；每小题2.5分，满分37.5分）阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。AFarmers’marketsareprovingpopulardestinations—particularlyforyoungpeople—astheyshowcaseacity’sauthenticcustomsandtraditions.Xi’an:JianguomenMarketLocatedattheeasternendofthecitywallinXi’an,Shaanxiprovince,JianguomenMarkethasahistoryofmorethan20years.Thegroundfloorfeaturesabundantsuppliesofneatlyarrangedfruitandvegetables.Visitors’purchasesoffreshproduceareprocessedonthesecondfloor,whilethethirdfloorhasbeentransformedintoanartexhibitionhallcompletewithtallfiberglasswindowsthatallowplentyofsunlight.Peoplecanenjoyvariousthemedartexhibitionshere.Openingtime:8:30—18:00Beijing:SanyuanliMarketAninterestincookingislikelytobeinspiredbywanderingthroughthismarketinChaoyangdistrict,Beijing.Establishedin1992,itoffersawiderangeoffreshvegetables,meatandfruit,andspecialtyingredientsfromaroundtheworld.Themarketcanmeettheneedsofmostcustomersfromneighboringcommunitiestofive-starhotels.Moreover,numerousstallownersareskilledinforeignlanguages.Openingtime:9:00—19:00Shanghai:WuzhongMarketWuzhongMarkethasahistoryoftwoorthreedecades,duringwhichithasundergonemanytransformations.Anditreopenedtothepublicin2019.Manylocals’favoritefood,rangingfromChongmingricefromShanghai,ZhoushanseafoodfromZhejiangprovince,mushroomsfromYunnanprovince,andsometropicalfruitsfromSoutheastAsia,canbefoundhere.Therearealsovarioussemi-finishedproduceandcookedfood.Openingtime:7:00—18:30Harbin:DaoliFoodMarketDaoliFoodMarket,foundedin1902,isoneofthethirteenmajormarketsinChina.Thistwo-flooroutletcovers130,000squaremetersandittakeshalfadaytofullyexplorewhatithastooffer.Localbreadbiggerthanahumanhead,redsausagesandsteamingporkstewallpromisetosatisfyvisitors’tastebuds.Manylocalsoftendragalongtheirsuitcasestobuygroceries.Openingtime:8:00—18:001.WhatmakesJianguomenMarketdifferentfromtheothers?A.Peoplecanbuyallkindsoffreshvegetableshere.B.Peoplecanseelotsofartexhibitionsonthethirdfloor.C.Thismarkethasthelongestopeningtime.D.Peoplealwaysdrawtheirsuitcasestobuygroceries.2.WhatdoSanyuanliMarketandWuzhongMarkethaveincommon?A.Theybothsellfruitfromforeigncountries.B.Youcanbuycookedfoodinthetwomarkets.C.Thesellerscanspeakforeignlanguages.D.Visitors’purchasescanbeprocessedhere.3.Whichmarkethasthelongesthistory?A.JianguomenMarket. B.SanyuanliMarket.C.WuzhongMarket. D.DaoliFoodMarket.BTwoyearsago,twohigh-schoolclassmateseachcomposedamathematicalwonder—atrigonometricproofofthePythagoreantheorem(毕达哥拉斯定理的三角证明).Now,atage19,they’vereportedfinding10moreproofsofit.For2,000years,suchproofswereconsideredimpossible.Butthatdidn’tdiscourageNe’KiyaJacksonandCalceaJohnson,whopublishedtheirnewproofsonOctober28inAmericanMathematicalMonthly,showing“youcanmakeasplash(引人注目)evenasahigh-schoolstudent”.TheteenstackledPythagoras’theorem.In1927,mathematicianElishaLoomisclaimedthatitcouldneverbeprovedusingtrigonometry.Butin2009mathematicianJasonZimbaannouncedthefirsttrig-basedproofofPythagoras’theorem.ThesecondcamesixyearslaterfrommathematicianNunoLuzia.Theseweretheonlytwountil2022,whenJacksonandJohnsonpresentedtheirfirstproofs,bothseniorsatSt.Mary’sAcademy.“Thisprovedtobethemostchallengingtaskofall,”theynotedintheirpaper.Theyhadtowriteuptheirworkandlearnnewskills,likecoding.Butworkingontheearlyproof“inspiredthecreativeprocess.”Jacksonsays.JacksonandJohnsononlypublishedfiveproofsanddecidedtoleaveanotherfiveproofs“forinterestedreaderstodiscover”,theywroteinthepaper.Publishingtheproofswasabigachievement.Butthatdoesn’tmeanthestoryisover.Now,“otherpeoplemighttakethepaperandgeneralizethoseproofs,orgeneralizetheirideas,”mathematicianLozano-Robledosays.“Itjustopensuplotsofmathematicalconversations.”Jacksonhopestheproofswillinspireotherstudentsto“seethatdifficultiesarepartoftheprocess.Stickingwithit,youmightfindyourselfachievingmorethanyouthoughtpossible.”4.Whyaresomemathematiciansmentionedinthetext?A.Torevealthepressuretheyputonthetwogirls.B.ToexplaintheirproofsofPythagorastheorem.C.Toprovethegreatnessofthetwogirls’achievements.D.Tostressthedifferenceoftheirviewsofthetheorem.5.WhatwillbetheresultofpublishingtheproofsaccordingtoLozano-Robledo?A.Theproofswillbepromoted. B.Itwillleadtomoreconflicts.C.Itwillshockseniormathematicians. D.Pythagoras’theoremwillbecorrected.6.WhatdoesJacksonwishfor?A.Discoveryofanotherfiveproofs. B.Students’perseverancefacingdifficulty.C.Students’greatinterestinmathematics. D.Properuseoftrigonometryindailylife.7.Whatmessagecanwegetfromthepassage?A.Wellbegunishalfdone. B.Itisnevertoooldtolearn.C.Ageisjustanumber,notastateofmind. D.Asmallstarcanalsoshineinthedarkness.CWhenvisitingadoctorinthefuture,youcanexpecttobeaccompaniedbyavirtualversionofyourself.Thisso-calleddigitaltwinwillbeaworkingmodelofyourbodythatcanbeshownonaphysician’scomputerscreen.Updatedwithyourlatestvitalsigns,itwillhelpthedoctormakeanaccuratediagnosis(诊断)andprovidepersonalizedtreatmentsforthepatients.Nomatterhowunrealthismightseem,theresearchersatQueenMaryUniversityofLondon(QMUL)alreadyusecomputersimulations(模拟)oftheheartsofpatientstotestdifferenttreatmentsforaheartdisorder.Itwouldbefartoodangeroustoexperimentthiswayonsomeone’srealheart.Digitaltwinsarestartingtobeseeneverywhere.Theycannotonlymonitorthehealthofjetenginesonairliners,butalsohelpcarmakersspendfeweryearsonthedevelopmentofnewmodelsbysimulatingtestdrivesandcrashes.AllthisisbeingpoweredbyrecentprogressinAI,whichgivestwinstheabilitytomakepredictionsabouttheirphysicalcounterparts(对应的事物),andadjustthemselvesbasedonnewinformation.Digitaltwinsmakeiteasierforhumanstosolvechallengingproblems,allowingpeopletohavealookintothefuture.Forbusinesses,thisshouldmeanbetterdesignsandoperations.Forsociety,thepromiseisalsofascinating:personalizedhealthcare,andwaystopreventtheearthfromenvironmentaldisasters.Couldthesevirtualtwinsgooutofcontrol?Theymightiftheyareprogrammedbadly,orhackedinto.Digitaltwinswilltakeinmountainsofdata,someofitwrongandmuchofitraisingconcernsaboutprivacy.Yetthoserisksareanaturalpartoftechnologicalprogress.Theappearanceofthedigitalmirrorworldwillraisenewquestions,butitspotentialbenefitsarealreadyeasytosee.8.Whichofthefollowingbestdescribesadigitaltwin?A.Avirtualcopy. B.Avideogame. C.Atoymodel.D.Amedicaldatabase.9.WhydoresearchersatQMULusecomputersimulationsofhearts?A.Toreducethetimeoftheheartoperation.B.Touserealheartsmuchmoreconveniently.C.Tohelpincreasethepatients’recoveryrates.D.Toavoidthedangerofexperimentingonrealhearts.10.HowdoesAIcontributetothedevelopmentofdigitaltwins?A.Itincreasestheefficiencyofsimulationsthroughdataanalysis.B.Itcreatesaccuratedigitalcopiesformedicalandindustrialuse.C.Itenablesdigitaltwinstopredictresultsandadaptontheirow