专题09- 阅读表达 (原卷版) 五年(2018-2022)北京高考真英语真题+两年模拟题分项汇编详解_第1页
专题09- 阅读表达 (原卷版) 五年(2018-2022)北京高考真英语真题+两年模拟题分项汇编详解_第2页
专题09- 阅读表达 (原卷版) 五年(2018-2022)北京高考真英语真题+两年模拟题分项汇编详解_第3页
专题09- 阅读表达 (原卷版) 五年(2018-2022)北京高考真英语真题+两年模拟题分项汇编详解_第4页
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专题09 阅读表达序号内容PartIPassage1-Passage2--5年真题过关PartIIPassage3-Passage20--模拟能力提升(北京各区模拟试题)PartI-5年真题过关Passage1(2022年北京)Tom,a15-year-oldinventorandentrepreneur(创业者),witnessedathisownschoolthewidespreadconsumptionofsugarydrinksbykids.Heknewtherehadtobeabetterportabledrinksolutionanddecidedtoinnovatefromsomethinghesawinhisownhome:fruitinfused(浸泡)water.Tomwatchedhismummakehealthyfruitinfusionsbutthenstruggleforatake-alongoption.Fromobservinghismumandfromhisdesiretogivekidsbetterdrinkoptions,hecameupwithhisoriginalmodelfortheFunBottle.“Iwantedtocomeupwithahealthy,naturalwayforpeopletodrinkwhenonthego.Abigpartofmymissionistogetpeopleofallagesoffsugarydrinks,”Tomexplains.Thebottleismadewithastrainer(滤网)thatallowsthegreattastesandnaturalsugarsofthevariousfruitsandvegetablesyouchoosetocomethroughthewater,withoutanyoftheseedsorskinsflowingthrough.TomisproudofhisdesignandexcitedtobesellingtheFunBottleonhiswebsiteandinstores,butthis15-year-oldismostproudoftheopportunitiesthatFunBottlepresentstoothers.Ithelpstoprovidehealthyalternativestosugarydrinks;andalsoTomdonatespartoftheprofitstotheOrganisationforaHealthierGeneration(OHG).Tomhasbeenawardedseveralprizes,butthisteenageinnovatorremainshumble.Whenaskedwhatadvicehe’dgiveotherentrepreneurialyouth,hesays,“Prepareandhaveyourfamily’ssupport.Itisimportanttoknowfromthebeginningthattherearealotofhighsandlows,andthereisnosuchthingasovernightsuccess.”40.WhatdidTomwitnessathisownschool?41.WheredidTomgettheideafortheoriginalmodelfortheFunBottle?42.Pleasedecidewhichpartisfalseinthefollowingstatementthenunderlineitandexplainwhy.TomismostproudoftheopportunitiesthatFunBottlepresentstoothersbecausehenotonlyprovideshealthyalternativestosugarydrinksbutalsodonatesalltheprofitstotheOHG.43.AmongTom’squalities,whichone(s)doyouthinkwillbeimportantforus?Why?(Inabout40words)Passage2(2021年北京)Recentresearchsuggeststhatifanargumentgetsresolved,theemotionalresponsetiedtoitissignificantlyreducedoralmostcompletelyerased.Thus,itmaybeworthbringingupissueswithyourfriends,familymembers,orclassmatesratherthanholdingthemback.Thereisadifferencebetweenarguingandfighting.Arguingisthatyouandyouropponentpresentyourconcernsanddiscussthefeelingsandissuesrelatedtothoseconcerns.Youcanengageinanargumentrespectfullywithoutstirringup(激起)anger.Fighting,however,usuallyinvolvespersonalattacks,raisingofvoices,andstormingout.Discussingyourissuesandresolvingtheminsteadofstuffingthemdowncanimproveyouremotionalhealth.Inastudy,2.000peoplewereaskedtorecordtheirfeelingsandexperiencesforeightdaysinarow.Whenpeoplehadanargumentthattheyconsideredresolved,theyhadhalfthereactivity(情绪反应)ofthosewhoavoidedanargument.Reactivityisanincreaseinnegativeemotionsoradecreaseinpositiveemotions.Inotherwords,resolvinganargumentcutsyournegativefeelingsbyhalf.Onedaylater,peoplewhohadaresolvedargumentreportednoincreaseofnegativeemotionscomparedwiththosewhoavoidedanargument.Thismeansthatresolvinganargumentcanfeellikeyouhavereachedastateofresolution——andyouarelesslikelytobeannoyed.Moreover,theolderyouare,themorelikelyyouwillcometoaresolutionafteranargument.Thismaybebecausemorelifeexperienceusuallyleadstomoredefinedpriorities.Youaremorelikelytodistinguishbetweenwhatmattersandwhatdoesnot.Itiseasiertoavoidadiscussion,butriskingtalkingaboutitmayeventuallyleadtoabetteroutcome.40.Accordingtothispassage,whatisarguing?41.Whyisitthat“theolderyouare,themorelikelyyouwillcometoaresolutionafteranargument”?42.Pleasedecidewhichpartisfalseinthefollowingstatement,thenunderlineitandexplainwhy.Resolvingargumentscanimproveyouremotionalhealth,becauseitincreasesyourreactivityandreducesthechanceofyougettingangry.43.Inadditiontoimprovingemotionalhealth,whatdoyouthinkaresomeotherbenefitsofresolvinganargument?(Inabout40words)PartII-模拟能力提升(北京各区模拟试题)Passage3(2022·北京房山·二模)阅读下面短文,根据题目要求用英文回答问题。Isitpossibletoimproveyourbrainfunction?Theansweris“yes”.Informationinyourbrainiscollected,storedandrecalledbyneuralpathways.Thesepathwaysareresponsibleforyourabilitiestosolveproblems,rememberfamiliarfacesandtasks,withoutpayingatonofefforts.Millionsoftheseneuralpathwaysbegindevelopingfromthetimewhenyouaregrowingintoababy.Tokeepourmemoryhealthy,weneedtocreatenewpathwayscontinually.Asweage,ourlifestylesoftenchange,stoppingthosepathwaysfrombeingdeveloped.Twofrequentchangesareadecreaseinexerciseandlessattentiontoourdiet,whichhaveanegativeeffectonourbrainandmemory.Ourbrainrequiresconsistentstimulation,regardlessofourage,andlookingforwaystoexcitetheproductionofnewpathwaysiscritical.Justlikeyourphysicalmusclesneedtobeusedindifferentwaystomakethemstronger,ourbrainneedschangetohelpchallengeitsabilities.Onesimplewaytostimulatetheproductionofnewpathwaysistryingsomethingnew.Challengeyourbrainwithpuzzles,anewlanguageorlearninghowtoplayaninstrument.Anythingdifferentandnewcanstimulateyourbrainandmemory.Thebestactivitiesaretheonesoutsideofyourcomfortzone.Theypushyouasyoudevelopnewneuralpathways.Theeffortinvolvedinlearningandcommittingtomemoryanewskill,withnewtermsandlanguage,isagreatwaytoexerciseyourbrain.Anotherwaytostimulatetheproductionofnewpathwaysisdoingexercise.Whenyouexerciseyourbody,youarealsoworkingoutyourmind,becauseregularactivityhelpstoimprovethechemicalsinyourbrainandtoprotectbraincells.1.Accordingtothepassage,whatcannegativelyaffectourbrainandmemory?2.Whyarethebestactivitiestheonesoutsideofyourcomfortzone?3.Pleasedecidewhichpartisfalseinthefollowingstatement,thenunderlineitandexplainwhy.Thetwowaysmentionedinthepassagetohelpcreatenewpathwaysaretryingsomethingnewandexercisingyourbrainbychallengingyourbrainwithdifferenttasks.4.Whatelsecanyoudotoimproveyourbrainfunction?(Inabout40words)Passage4(2022·北京市十一学校三模)阅读下面短文,根据题目要求回答问题。Inlife,onceonapath,wetendtofollowit,forbetterorworse.What’ssadisthatevenifit’sthelatter,weoftenfollowacertainpathanywaybecausewearesousedtothewaythingsarethatwedon’tevenrecognizethattheycouldbedifferent.Psychologistscallthisphenomenonfunctionalfixedness.Thisclassicexperimentwillgiveyouanideaofhowitworks–andasenseofwhetheryoumayhavefallenintothesametrap:Peoplearegivenaboxoftacks(大头钉)andsomematchesandaskedtofindawaytoattachacandletoawallsothatitburnsproperly.Typically,thesubjectstrytackingthecandletothewallorlightingittofixitwithmeltedwax(石蜡).Thetacksaretooshort,andthecandledoesn’tfastentothewall.Sohowcanyouaccomplishthetask?Thesuccessfultechniqueistousethetackboxasacandleholder.Youemptyit,tackittothewall,andstandthecandleinsideit.Tothinkofthat,youhavetolookbeyondthebox’susualroleasacontainerjustfortacksandreimagineitservinganentirelynewpurpose.Thatisdifficultbecauseweallsuffer–toonedegreeoranother–fromfunctionalfixedness.Theinabilitytothinkinnewwaysaffectspeopleineverycornerofsociety.ThepoliticaltheoristHannahArendcoinedthephrasefrozenthoughtstodescribedeeplyheldideasthatwenolongerquestionbutshould.InArendt’seyes,thecomplacentrelianceonsuchaccepted“truths”alsomadepeopleblindtoideasthatdidn’tfittheirworldview,evenwhentherewasampleevidenceforthem.Frozenthinkinghasnothingtodowithintelligence,shesaid,“Itcanbefoundinhighlyintelligentpeople.”Anothercontextinwhichfrozenthinkingcanturntrulydangerousismedicine.Ifyoulandinthehospital,it’snaturaltowanttobetreatedbythemostexperiencedphysiciansonstaff.Butaccordingtoa2014studyintheJournaloftheAmericanMedicalAssociation(JAMA),you’dbebetteroffbeingtreatedbytherelativenovices.5.Whatdoes“functionalfixedness”mean?6.Howisthecandleattachedtothewall?7.Pleasedecidewhichpartisfalseinthefollowingstatement,thenunderlineitandexplainwhy.▶FrozenthinkingiscommonamongordinarypeoplebutlessfoundinthosewithhighIQ.8.Howcanyouavoidfrozenthoughtsinyourdailylife?(Inabout40words)Passage5(2022·北京师大附中三模)阅读下面短文,根据题目要求用英文回答问题。请在答题卡指定区域作答。Almosteverycommunityintheworldhassomeformofrulesandsomewayofcarryingthemout.Acommunityisagroupofpeoplewhoareunitedbyanumberoffactors,includinggeography,language,andvalues.Sowhydowehaverules,andwhatmakespeoplefollowthem?Studieshavesuggestedthatthereasonwedon’tlikecheatingandrule-breakingisthatfairnessisprogrammedintoourbrains.Theyhavefoundthatthebrainreactsinaparticularwaywhenwefeelwearebeingtreatedunfairly.Thefindingsconcludedthatfairnessisabasichumanneedalongwithfoodandsocialcontact.Oursenseoffairnessdependsontheinfluencesinourculture,theimmediatesituationwearein,andourownself-interest.Arrivingatafeelingoffairnessmeansconsideringdifferent,oftenconflicting,pointsofview.Regardlessofthedisagreement,peoplealmostalwaysneedtocompromise.Butitcanbedifficulttoarriveatacompromise(妥协)whenthereareconflictinginterests.Thisiswhycommunitieshaverulesthateveryonemustfollow.Socialcontrolsareanimportantfactorinsettingandfollowingrules.Theyinfluencethewaywebehaveandcanbeinternalorexternal.Internalcontrolscomefromwithinandarebasedonourvaluesandfears.Mostofusdon’tsteal,forexample,becausewebelievethattheftisunfairandwrong.Inotherwords,ourinternalcontrolskeepusfrombehavinginwaysthatcauseconflict.Externalcontrolsincluderewardsandpunishments.Theydonotcomefromwithinbutareimplementedbyanauthority—thiscouldbethegovernment,thepolice,ateacherorparents,dependingonthesituation.Rewards,suchasjobpromotions,awards,andpraise,aredesignedtoencouragepeopletobehaveandactintheinterestofthewholecommunity.Punishments,suchaspublicembarrassment,fines,andevenimprisonmentcanpreventpeoplefromactingagainstthecommunity’sbestinterests.Peopleneedtheircommunitiestofunctionsmoothly.Becauseofthis,humansmostoftenbehaveinorderly,fair,andpredictableways.Iftherewerenorules,themajorityofpeoplewouldprobablycontinuetointeractpositively.However,therewouldalwaysbeaminoritywhowouldnot,withseriousconsequences.Thisiswhyasocietywithoutrulesisunlikelytobecomearealityanytimesoon—atleastnotintherealworld.(390words)9.Whydowehaverulesandfollowthem?10.Howdosocialcontrolsinfluenceourbehavior?11.Pleasedecidewhichpartisfalseinthefollowingstatement,thenchangeitandexplainwhy.Ourinternalcontrolcomesfromrewardsandpunishmentsfromanauthoritylikeourschool.12.Ifyoucouldchangearuleatyourschool/home/community,whichonewouldyouliketochange?Why?(Inabout40words)kbymymom.Weshoulddoitwithhertoshowfairness,ourloveandshareofresponsibility.Passage6(2022·北京通州·模拟预测)阅读下面的短文和问题,根据短文内容,在相应题号后的横线上写下相关信息,完成对该问题的回答。答语要结构正确,书写工整,字迹清楚。Somanythingscankeepyoufromseeingyourlovedonesinperson,frombusyschedulestolongdistancestoaratherunexpectedpandemic(流行病).Fortunately,thankstomodemtechnology,thepeoplewemissareoftenonlyaphonecallortextmessageaway.Butifyou’resomeonewhopreferstypedoutmessagestoverbalones,youmaywanttoreconsider.Accordingtoscience,ifyouwanttofeelmoreconnectedtothepeopleyou’retalkingto,youshouldcalltheminsteadoftexting.Anewstudy,publishedintheJournalofExperimentalPsychology,foundthatcommunicationinteractionsthatincludedvoice,likeaphonecallorvideochat,createdstrongersocialbondsthancommunicationthroughtyping,liketextmessagingoremail.Inthestudy,researchersusedvariousexperimentstogaugeconnectedness.Inone,theyasked20peopletomakepredictionsaboutwhatitwouldbeliketoreconnectwithanoldfriendbyemailorbyphoneandthenassigneditonpeopleatrandomtodooneortheother.Althoughpeopleanticipatedthataphonecallwouldbemoreawkward,hearingsomeone’svoiceactuallymadetheexperiencebetter.“Peoplereportedtheydidformasignificantlystrongerbondwiththeiroldfriendonthephoneversusemail,andtheydidnotfeelmoreawkward,”studyco-authorAmitKumar,anassistantprofessorofmarketingattheMcCombsSchoolofBusiness,saidinastatement.Inanotherexperiment,theresearchershadstrangersconnectbyeithertexting,talkingovervideochat,ortalkingusingonlyaudio.Theyfoundthatbothformsofvoicecommunication-whethervideooraudioonly-madethestrangersfeelsignificantlymoreconnectedthanwhentheycommunicatedviatexting.SabrinaRomanoff,aHarvardtrainedclinicalpsychologistbasedinNewYorkCity,sayspeopletendtotextoremailinsteadofcallingbecauseofconvenience,astheyseeitasacontrolledformofcommunicationwheretheycan“correspondinformationexactlyinthewaytheyintendwithoutunexpectedadditionsbytheotherperson”.Romanoffsaysthatinreality,textingcanmakeithardtodeterminethetruemeaningbehindaconversation.“Aphonecallisactuallymoreconvenientwhenconsideringtheneteffectsofthemessage”sheexplains.“Eachpartyismorepresent,andthereforeabletogaugethemeaningbehindthecontentwithoutthinkingabouttheendlesspossiblemeaningsbehindwordsandpunctuations.”13.WhatdidthenewstudypublishedintheJournalofExperimentalPsychologyfind?14.Inthefirstexperimentmentionedinthepassage,howdopeoplefeelactuallywhentheyconnectedwithanoldfriendbyphone?15.Pleasedecidewhichpartisfalseinthefollowingstatement,thenunderlineitandexplainwhy.➢AccordingtoRomanoff,theconvenienceoftextoremaillieinitscontrolledformofcommunicationwhileaphonecallismoreconvenientbecauseofitsinstantaccess.16.Ifyouaregoingtoreconnectoldfriends,willyoutextthemorcallthemdirectly?Why?(Inabout40words)Passage7(2022·北京·人大附中三模)阅读下面短文,根据题目要求回答问题。FormillionsofFacebookusers,choosingwhichphototouseforanonlineprofileisanimportantdecision.AccordingtoastudybyresearchersattheUTDallasCenter,thephotosweselectmayreflectindividualpreferences,buttheyalsoappeartoreflectmoredeeplyrooted,unconsciousculturaldifferences.Previousresearchhasshownthatculturecanaffectnotonlylanguageandcustom,butalsohowweexperiencetheworldandprocessinformation.Westerncultures,forexample,conditionpeopletothinkofthemselvesashighlyindependententities(实体),whereasEastAsianculturesstresscollectivismandinterdependence.Dr.DenisePark,co-directoroftheCenteratUTDallas,andformergraduatestudentDr.Chih-MaoHuangoftheUniversityofIllinois,werecuriousaboutwhetherthesepatternsofculturalinfluenceextendtocyberspace.InapaperpublishedintheInternationalJournalofPsychology,theyexaminedtheprofilephotographsofmorethan500activeFacebookusersfromtheUnitedStatesandEastAsia.Overall,theyfoundthatprofilephotosofAmericansaremorelikelytofocusontheindividual’sface,whiletheprofilesofEastAsianstendtolessemphasizethefaceandincludemorebackgroundfeatures.AmericansalsoshowgreatersmileintensitycomparedtoEastAsianFacebookusers.ThefindingsshowmarkedculturaldifferencesinthefocusofattentionamongEastAsianandAmericanFacebookusers.Moreover,theyechopreviousresearchonculturalinfluencesonvisualperception(感知),attention,andreasoningintheofflineworld.“WebelievethesefindingsrelatetoaculturalbiastobemoreindividualisticandindependentintheUSandmorecommunalandinterdependentinAsia,”saidPark.Theresearchalsofoundthatculturalinfluencesoverourself-presentationonlinecanshiftovertimeandfromplacetoplace.Inoneofthestudysamples,AmericansstudyinginJapanandJapanesestudyingintheUnitedStatesbothshowedatendencytoadjusttheirprofilephotostothegeneralpreferencesoftheirhostcountry.“Facebookconstitutesanextendedsocialcontextinwhichpersonalprofilesmirrorvariousindividualcharacteristics,privatethoughts,andsocialbehaviors,”notedHuang.“Assuch,thestudypresentsanewapproachtoinvestigatecognitionandbehaviorsacrossculturesbyusingFacebookasadatacollectionplatform.”17.Whatmayanonlineprofilephotoreflect?18.Accordingtotheresearch,howareAmericanandEastAsianFacebookusersdifferentinchoosingtheirprofilephotos?19.Pleasedecidewhichpartisfalseinthefollowingstatement,thenunderlineitandexplainwhy.Inoneofthestudysamples,AmericansstudyinginJapanshowedatendencytoadjusttheirprofilephotostothegeneralpreferencesofAmerica.20.Apartfromculturaldifferences,whatotherfactorsmightinfluenceone’schoiceofprofilephotoonsocialmedia?Passage8(2022·北京东城·模拟预测)阅读下面短文,根据题目要求用英文回答问题。Everyoneneedsit,butnoonewantstoaskforit.“Help”hasbecomeasortofdirtyword,implyingweaknessandneediness,thatwecan’thandleourproblemsonourown.However,whetheritbeforyourphysical,mentaloracademichealth,gettingwordsofadviceorencouragementfromanoutsidesourcecanmakeallthedifference.Duringatimeofsuchuncertainty,thefrequencyofpeoplerequestinghelpforanxietyanddepressionhasincreased.Thecurrentsituationhasmadepeoplerealizetheycan’tbealonewiththeirthoughts,andthataskingforhelpfromprofessionalsisthebestwaytogettheirproblemsofftheirchestsandtheirmindsontheroadtowellness.Still,requestinghelpcarriesasocietalweight.TheBritishPsychologySocietyfoundthattwotypesofstigmas(羞耻、耻辱)exist:publicstigmaandselfstigma.A“publicstigma”isexternal,acollectionofbeliefsfromaroundus,whichholdsaheavyweightonourideasonseekinghelp.A“selfstigma”isinternal,assigningourselveslabelsbasedonourstateofmentalhealth,claimingweareworthlessandundeservingofhelp.“Public”and“self”stigmasgohandinhand,andwhenwehearthestigmasbeingvoicedbythosearoundus,wetendtoapplythemtoourselvesbecauseofsocialinfluences,especiallythoseconcerningmentalhealth.Tobeourbetterselves,wehavetobreakthestigmaaround“help”andacceptthefactthatsomeproblemsaretootoughtoovercomeonourown.Ifwefailtobreakthestigmaaroundtheword“help”,weignoretheincreasinglymorerelevantnecessityofgettingourselvesassistanceintimesofneed.Despitewhatsocietymaytellus,it’snotoddorwrongtogethelp—it’sprobablyoneofthemostinsightfulandcourageousthingswecandoforourselves.Eachoneofusshouldbeabletoopenlyadmitthatweneedhelp,whetheritbeforproblemswefacewithschoolorforinternalizedstruggleswithmentalhealth.Sometimesweneedsupport,andthatisn’tbad—it’shealthy,andremarkablybrave.21.Accordingtothepassage,whyis“help”considereda“dirtyword”?22.Whatisexplainedinparagraph3?23.Pleasedecidewhichpartisfalseinthefollowingstatement,thenunderlineitandexplainwhy.●Breakingthestigmaaround“help”canincreaseourneedofseekinghelp.24.Whatdoyouthinkaresomeotherbenefitsofaskingforhelp?(Inabout40words)Passage9(2022·北京·北师大实验中学三模)阅读下面短文,根据题目要求用英文回答问题。Don’tputyourelbows(肘)onthetable.Thesoupspoonshouldneverbeputintothemouth.Thesearesomeoftheexamplesoftablemanners.Theyshowthewaypeoplebehavewhileeatingameal.Actually,everyfamilyfollowstablemannersinitsownway.Eveninfamilieswherenoonementionselbows,therearealwaysbehaviourstakingeffectwhensharingmeals.Interestingly,differentcultureshavedifferentthoughtsontablemanners-elbowsonthetable,forexample,isveryBritish.Somecountriesthinkburping(打嗝)afteramealisasignthatitwasdelicious.Whileitisimportanttokeepsilentwhileeating,insomeareasitisactuallyasimportanttokeepupthetraditionofeatingatthetableasafamily,withconversationsandnomobilephones.Tablemannersmattermuch.Theyareareflectionofyourcharacter.It’saboutrespectforothers.Whenyouarewithothersinasocialsetting,youwanttobeconsideratetothosearoundyou.Tablemannersalsomeanyour“ticket”tosocialsuccess.Goodmannerswillopendoorsthatthebesteducationcannot.Fewwillwantanill-manneredpersonintheirworkplace,orsocialcircle,andthisisasrelevanttodayasitwashundredsofyearsago.Whileglobalizationhasledtotheintermixingofcultures,theessenceoftablemannersremains.“Iwasbroughtuptohavetablemanners,”sayscelebratedchefTonyTan,whogrewupinMalaysia,eatingIndian,ChineseandMalaycuisineswithchopsticks,hands,spoonandfork.Tan,whowentontotrainasachefinParisandLondon,isanexpertinAsiancuisinesfromCantonesetoMalaysian,whichheteachesathisschoolincountryVictoria-buttheetiquette(礼节),particularlyofhisChinesetradition,hasremained.Hesays,“You’vegottoinviteyourelderstostarteating,orsay,‘Wearenoweating’,sotheelderscansay,‘Goahead’.It’sasignofrespecttotheelderly.Whenpeopledon’tdothatanymore,theylackmannersandtheylackgoodupbringing.”25.Whataretablemanners?26.Whyaretablemannersimportant?27.Pleasedecidewhichpartisfalseinthefollowingstatement,thenunderlineitandexplainwhy.>TonyTansaysthatitisimpoliteforyoungergenerationstostarteatingbeforetheeldersdoevenaftertheygetpermissionfromtheelders.28.Apartfromtherulesmentionedinthepassage,whatothertablemannersdoyouhaveinyourhome?(Inabout40words)Passage10(2022·北京东城·二模)阅读下面短文,根据题目要求用英文回答问题。请在答题卡指定区域作答。Mathcausesanxietyinkids,whichcanlastfarintoadulthood.Thisisworsenedbythepressureofknowingthatmathisthegatekeepertoscienceandtechnologythatdrivemuchofoursociety.Ironically,thiswell-knownfeatureofmathematicsisitsgreatestweakness.Whenourkidsaskwhytheyneedtoknowalgebra,wepromisethemthatitwillbeuseful.Dowelistentojazzbecauseitisuseful?Humanslikethepractical,butwealsoknowthatthereismuchmoretolife.AsAristotlesaid,knowledgebeginswithwonder,butwhatwonderisthereinalgebraorcalculus?Asitturnsout,notmuch.Yettheyformthecornerstoneoftoday’smatheducation.Nowondermathcreatesboredom.Happily,unlockingthepleasureofmathissimple:Dowhatmathematiciansdoandseekoutunexplored,unknown,undiscoveredmath.Regrettably,themathematicaljourneyisimaginedasaterrifyingmountain:Thewidebaseisarithmetic,accessibletoeveryone.Climbinghigherbringsustoalgebra,geometry,andeventuallycalculusandbeyond.Webelievethatnewmathideashavebeennearlyexhausted.Inreality,mathisaliveandstilladvancing,andmostofitremainsavastandunchartedcountryside.Freshideasareconstantlybeingdiscovered,openingupnewandfascinatingpuzzles.Thesepuzzlesallowustoplayattheveryedgeofthemathematicalunknown,andmanyofthemareaccessibleforourstudents.Here’sone:Caneveryevennumberbewrittenasasumoftwoprimenumbers?Evennumberssuchas8and30canbewrittenas3+5and7+23.Butcanthisbedoneforeveryevennumber?Nooneknows.Asourkidstrytosolvethiskindofproblems,adeeplyencouragingtruthwillappearintheirotherwiseanxioushearts:It’sOKtostrugglewithmathsinceeveryonestruggleswithmath.Theseunsolvedpuzzlesarethegreatequalizers,helpingusrealizethatweareonthesamelevelasthegreatestofmathematicians,allofusstaringovertheunknownabyss,lookingforawaydownintothemystery.29.Whatisthewell-knownfeatureofmathematics?30.Whydoesmathcauseboredom?31.Decidewhichpartofthefollowingstatementiswrong.Underlineitandexplainwhy.Theauthorbelievesmathisaccessibleforstudentsbutthatnewmathideashavebeennearlyexhausted.32.Whatelsedoyouthinkcanmakemathfun?(Inabout40words)Passage11(2022·北京海淀·二模)阅读下面短文,根据题目要求用英文回答问题。Formanystudents,havingclassesonlinemakesthemeasilydistracted.Theyfacechallengeswhenlearningonline.Amainsourceofdistractionisdigitaltechnology.Whileelectronicdevicesarerequiredforonlinelearning,theyeasilystealattentionforlongperiodsoftime.Moststudentswillholdtheirphonesorleavethemontheirdeskswhilestudying.Thereisnodoubtthatduringthistimeatextmessagefromafriendcanstartaconversationthatresultsintotallyignoringanassignment.Studentsmightopennewtabstowatchafunvideoorscrollthroughsocialmediathreads.Toovercomethischallenge,studentsareencouragedtoputalldevicesoutofsightwhileworkingandbuildasolidtimetable.Inadditiontoelectronicdevices,backgroundnoisescanbeahugeobstaclewhenitcomestoonlinelearning.Infact,sittinginasilentenvironmentoftenemphasizesbackgroundnoisesevenmore.Television,familymembers,petsrunninginthehouse,orsiblingslisteningtoloudmusiccanallbesourcesofinterruption.Evenweathercanbeadistraction!Imagineastrongwindblowingthroughthetreesoraloudthunderstormwithrain.Allthesenoisescanendupdisruptingstudentsandaffectingtheirstudy.Apairofheadphonescanminimizenoiseandhelpstudentsstayontask.Indeed,whereandhowwestudycanbeasourceofdistractionaswell.Somestudentswearcomfortablepajamaswhilelyingontheirbedswithlaptopstowatchclasslectures.Thiscanbeaproblemforconcentrationbecausehumansmentallyassociatethebedwithresting.Likewise,kitchensraiseevenmoreproblems!Thinkingaboutfoodfrequentlycandisturbstudyingo

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