2024-2025學(xué)年北京東城區(qū)五中高三3月階段性測(cè)試英語(yǔ)試題含解析_第1頁(yè)
2024-2025學(xué)年北京東城區(qū)五中高三3月階段性測(cè)試英語(yǔ)試題含解析_第2頁(yè)
2024-2025學(xué)年北京東城區(qū)五中高三3月階段性測(cè)試英語(yǔ)試題含解析_第3頁(yè)
2024-2025學(xué)年北京東城區(qū)五中高三3月階段性測(cè)試英語(yǔ)試題含解析_第4頁(yè)
2024-2025學(xué)年北京東城區(qū)五中高三3月階段性測(cè)試英語(yǔ)試題含解析_第5頁(yè)
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2024-2025學(xué)年北京東城區(qū)五中高三3月階段性測(cè)試英語(yǔ)試題注意事項(xiàng):1.答卷前,考生務(wù)必將自己的姓名、準(zhǔn)考證號(hào)、考場(chǎng)號(hào)和座位號(hào)填寫在試題卷和答題卡上。用2B鉛筆將試卷類型(B)填涂在答題卡相應(yīng)位置上。將條形碼粘貼在答題卡右上角"條形碼粘貼處"。2.作答選擇題時(shí),選出每小題答案后,用2B鉛筆把答題卡上對(duì)應(yīng)題目選項(xiàng)的答案信息點(diǎn)涂黑;如需改動(dòng),用橡皮擦干凈后,再選涂其他答案。答案不能答在試題卷上。3.非選擇題必須用黑色字跡的鋼筆或簽字筆作答,答案必須寫在答題卡各題目指定區(qū)域內(nèi)相應(yīng)位置上;如需改動(dòng),先劃掉原來(lái)的答案,然后再寫上新答案;不準(zhǔn)使用鉛筆和涂改液。不按以上要求作答無(wú)效。4.考生必須保證答題卡的整潔??荚嚱Y(jié)束后,請(qǐng)將本試卷和答題卡一并交回。第一部分(共20小題,每小題1.5分,滿分30分)1.---HasJohneverbrokenhispromise?---No.Forexample,hesaidhewouldshowmearoundhisschool,and.A.sowouldheB.sodidheC.sohewouldD.sohedid2.Sheisquite________toofficework.Youhadbetterofferhersomesuggestionswhennecessary.A.familiar B.similarC.fresh D.sensitive3.Mysonturnedtobookstoresandlibrariesseekinginformationaboutthebookrecommendedbyhisprofessor,but________none.A.wouldfind B.hadfoundC.found D.hasbeenfinding4.---Youlookhappytoday.Isthereanythinggood?---I’mverydelighted______asoneoftheexchangestudents.A.tochoose B.tohavebeenchosenC.choosing D.havingbeenchosen5.Theirproductsenjoy30percent________ofthemarketinthiscountrybecauseboththequalityandtheirservicearefine.A.featuresB.sharesC.interestsD.sales6.—Areyoufreenow?Ihavesomethingimportanttotellyou.—OK,________youmakeitshort.Iwillhavetofinishthisreportbeforenoon.A.nowthatB.a(chǎn)ssoonasC.everytimeD.a(chǎn)slongas7.Withoutyourhelp,I________thefirstprizeintheEnglishSpeakingContest.A.won’tget B.didn’tgetC.wouldn’tget D.wouldn’thavegot8.Thecountry’schiefexportsarecoal,carsandcottongoods,cars_____themostimportantofthese.A.havebeenB.a(chǎn)reC.beingD.a(chǎn)rebeing9.Thekidiscrying,forhe______jumpovertheditchonhisown.A.daresnotto B.darenotto C.doesn’tdareto D.daresnot10.WhenIgottohishouse,Ifoundthatthewalls_____.A.a(chǎn)rebeingpaintedB.a(chǎn)repaintingC.werebeingpaintedD.werepainting11.-----Myroomgetsverycoldatnight.-----_________________.A.Soismine B.Somineis C.Sodoesmine D.Sominedoes12.“Couldweputoffthemeeting?”sheasked.“________.”Heansweredpolitely.“Thisistheonlydayeveryoneisavailable.”A.Notlikely B.NotexactlyC.Notnearly D.Notreally13.Aftershebecameill,Ifelt______withher—shewascheerywhileIfeltgloomy.A.outoftune B.outofbreath C.outofcuriosity D.outofmind14.IfI_____itwithmyowneyes,Iwouldn’thavebelievedit.A.didn’tsee B.weren’tseeingC.wouldn’tsee D.hadn’tseen15.Theclassroomisbigenoughfor25studentsfornormaluseyouneedmorespaceforspecialactivities.A.once B.because C.if D.unless16.--Jassy,youspeakChinesesofluently!---______.Youarelying,Ihavetosay.B.Thanksalotforsayingso.C.That’snoneofyourbusiness.D.Ican’tagreemore.17.He’squite_________,butIcan’timaginehimaspresidentofsuchalargelistedcompany.A.enthusiasticB.generousC.competentD.sympathetic18.Sometimeswehavetofaceembarrassingmoments________wecanonlykeepsilent.A.who B.whichC.when D.why19.—Howlongdoyouthinkitwillbe________theStockMarketreturnstonormal?—Atleastoneyear,Iguess.A.when B.before C.until D.that20.TheEnglishinthisstoryhasbeensimplifiedtomakeiteasier_______.A.tobeunderstood B.understood C.understanding D.tounderstand第二部分閱讀理解(滿分40分)閱讀下列短文,從每題所給的A、B、C、D四個(gè)選項(xiàng)中,選出最佳選項(xiàng)。21.(6分)WhenemergencyworkersarriveatanoldfirehouseinNewYorkCity,thewaytheygreeteachotherisnotwhatyoumightexpect.Thesefirstresponderssay,"NiHao!""NiHao"means"hello"inMandarinChinese.Firstrespondersarethefirstemergencyworkerstoarriveatafire,trafficaccidentorotheremergency.Somefirstrespondersarefirefighters,whileotherscanbeEmergencyMedicalTechnicians.InBrooklyn,NewYork,over20firstrespondersarestudyingMandarinChineseforabouttwohoursaweek.Theclassisthefirstofitskind.ItisofferedbytheNewYorkCityFireDepartmentFoundation.TheU.S.CensusBureaurecentlyreportedthatsomeNewYorkneighborhoodsaremadeupmostlyofimmigrants.SomepeoplehavepredictedthattheChinesecommunityislikelytobecomeNewYork'slargestimmigrantgroup.TheythinkthecitywillhavethelargestChinesecommunityoutsideofAsia.TheCensusBureaualsofoundthatalmost200languagesarespokeninthecity.So,knowingdifferentlanguagesisimportant,especiallyifyouareafirstresponder.Lieutenant(中尉,少尉)SteveLeeispresidentoftheFireDepartment'sPhoenixSociety.Hesaysthatfirstrespondersmustbeabletocommunicatequicklyandeffectivelywhenanemergencyhappens.Heexplainsthatfirstrespondersenterneighborhoodsandcommunitiestoassistregardlessofwheretheyarefrom.Manytimesfirstrespondersdonotspeakthesamelanguageasthepeopletheyarecalledtohelp.Headdsthatitisvital,orveryimportant,thatfirstrespondersareabletocommunicatewiththepeoplecallingforhelp.Withouthelpfromhomeownersandothers,Leeadds,discoveringexactlywhereafireisburningcanbearealproblem.Firstrespondersneedtoaskquestionssuchas"Whatbuilding?Whataddress?Whatapartment?"Andthemostimportantquestion,"Isthereanybodyleftinthebuildingandwhere?"1、WhoarefirstrespondersaccordingtoParagraph2?A.Peoplefirstlearningthedisaster. B.Personsleadingtheemergencyrescue.C.Rescuersfirstreachingthedisaster D.Peoplefirstfindthedisaster.2、WhyarethefirstrespondersinNewYorkstudyingtheChineselanguage?A.ToshowrespecttotheChineseimmigrants.B.TolearnaboutChineseculturesmuchbetter.C.TomeettherapidgrowthofChinesepopulation.D.TofindabetterjobinChinesecommunity.3、Whatdofirstrespondersconcernmost?A.Theplacewherethefireoccurs. B.Thepeopletrappedinthefire.C.Thelanguagetocommunicate. D.Thedistancecoveredtothefire.4、Whatcanbeasuitabletitleforthetext?A.MandarinBeingaMustforEmergencyWorkersB.NewYork'sEmergencyCrewsLearningMandarinC.LanguageProblemDisturbingFirstResponders'WorkD.ImportanceofLanguagesUsedinEmergencyRescue22.(8分)Supermarketshopperswhobuylotsoffoodson"twoforone"dealsarefarmorelikelytobeobese(肥胖的),amajorstudysuggests.CancerResearchUKfoundthatthosewithhighestconsumptionofdiscountedfoodswereat50percentgreaterriskofobesity,comparedwiththosewithlowtake-upofsuchdeals.Thestudyofmorethan16,000householdsfoundalmostoneinthreefoodanddrinkitemsinUKsupermarketbasketswereboughtonpromotion.Andthediscountswerefarmorelikelytobeappliedtounhealthyfoods,withalmosthalfofallchocolate,crisps,popcorn,andsavourysnacksboughtonpromotion.Shopperswhosebasketscontainedbetween40and80percentofgoodsonspecialofferwere54percentmorelikelytobeobesethanthosewithamaximum20percentoffoodsonsuchdeals.Thosewithhighesttake-upofthedealsbought30percentlessfruit,andnearly25percentfewervegetablesthanthoseshunningthedeals.Thestudyfollowsagovernmentconsultationonproposalstoban"buyone,getonefree"dealsonunhealthyfoodsandsupermarket"guiltlanes"aspartofitschildhoodobesitystrategy.Oneinfivechildrenareoverweightorobesewhentheystartprimaryschool,risingtoaroundoneinthreewhentheyleave.Researchhasfoundthatobesityincreasestheriskof13differenttypesofcancerincludingbowelandbreastdisease.AlisonCox,directorofcancerpreventionatCancerResearchUK,said:"Thegovernment'sproposed9p.m.banonjunkfoodadsisastepforwardinfightingchildhoodobesity.Nowwewanttoseerestrictionsonpricepromotionsforunhealthyfoodanddrinkitems,aswellasthosestrategicallyplacedatcheckouts.Thiswillhelpfamiliestomakehealthierchoices."Thereisn'tonemagicfixfortheproblem,butgettingridoftheseencouragementstobuyunhealthyfoodiskeytochangingit."1、Whoarefarmorelikelytobeobese?A.ThosewhobuyfoodanddrinkitemsinUKsupermarkets.B.Peoplewhoprefer"buyone,getonefree"dealsonunhealthyfoods.C.Shopperswhosebasketscontainedamaximum20percentofdiscountedfoods.D.Householdswithlowtake-upofchocolate,crisps,popcorn,andsavourysnacks.2、Whatdoestheunderlinedword"shunning"inParagraph4mean?A.Closing. B.Accepting. C.Avoiding. D.Negotiating.3、Tofightchildhoodobesity,thegovernmenthas.A.suggestedabanonunhealthyfoodadsataspecificperiodofthedayB.restrictedpricepromotionsforunhealthyfoodanddrinkitemsC.officiallypreventedjunkfoodfromsaleafter9p.m.D.helpedfamiliestomakehealthierchoices4、Whatmightbeasolutiontotheproblem?A.Changingpeople'sattitudestowardshealthydiet.B.Findingoutthereasonwhypeoplelikejunkfood.C.Removingwhatmakespeoplebuyunhealthyfood.D.Teachingconsumerstherightwayofpickingfood.23.(8分)ChinesetechgiantTencentHoldingsLtd,thelargestglobalgamingproviderandtheoperatorofQQ,aninstantmessagingsoftwareservice,haslaunchedaseriesofscientificexplorationeventsaimedatencouragingyoungpeopletoexploretheoutsideworld,insteadofbeingcontinuouslyabsorbedonline.“QQhasbeeninthemarketfor18years,butitisnotaging,anditsapplicationhasbecomeyoungerandtrendier.WehopethatmoreyoungChinesecanusetheapptoconnectwithdifferentpeopleandviewsworldwide.Weneverworryaboutlosinggameplayers.Instead,wehopethatplayerscanactuallygoouttolearnmore,”saidLiDan,generalmanagerofmarketingdepartmentofthesocialnetworkgroupatTencent.China’sgamingmarketnetted(凈賺)salesrevenuesof218.96billionyuan($33.75billion)in2017,jumping23.1percentyear-on-year.Meanwhile,thenumberofmobilegainplayersinChinareached462million,adding10percentoverthelastyear.AccordingtoTencentthenumberofactiveusersofQQ,whoare21yearsoldoryounger,hasbeenincreasing,andtheytendtousetheappforalongertime.StartingMay22oflastyear,QQorganizedfreetripsforyoungpeopletoGalapagos,Namibia,SpainandtheAntarctic,butitdidn’trevealthespecificamountitcontributedtothosetrips.Duringeachtrip,itselectedthreetofourparticipantsfromthosewhouploadedvideosandmadespecifictravelplansonline.Thefinalistsstandoutwiththeirclearvideostatementsandtheirenthusiasmaboutgoingonadventures.“Tencent’sapproachappearstobecontradictorywithitsowninterests.But,infact,thisisconsistentwiththecompany’slong-termgrowthstrategyandwillpromoteitsbusinessbyestablishingagoodsocialimage,”saidNeilWang,presidentofconsultingfirmFrost&SullivaninChina.1、Tencenthaslaunchedaseriesofscientificexplorationeventsto_______.A.bringinmoreprofitsB.increasethenumberofitsgameusersC.makeyoungChineseuseitsappwhileexploringnatureD.encourageyoungsterstoconnectmorewiththeoutsideworld2、Whichofthefollowingistrueaccordingtothetext?A.QQwasstartedintheearly1990s.B.Tencentisnotworriedaboutthelossofgameusers.C.ThepublicknewhowmuchTencentspentontheexploringtrips.D.ThenumberofmobilegameplayersinChinalastyearwasabout462million.3、ThosechosentogoonthetripsbyTencent________.A.a(chǎn)repeoplefromdifferentagegroupsB.canbeofferedachancetogoabroadC.shoulduploadvideostointroducethemselvesD.havetopayfortheirownfoodandaccommodation4、Fromthelastphragraph,wecaninfertheattitudeofNeilWangtowardsTencent’sapproachis________.A.a(chǎn)pprovingB.criticalC.unclearD.skeptical24.(8分)Wewerealltellingstoriesofourmostembarrassingmoment.ItcamearoundtoFrankwhosatquietlylisteningtoothers.Now,Frankbegan,"Itwashardmakingalivingonthesea.MyDadworkedhardandwouldstayoutuntilhecaughtenoughtofeedhisfamily."Frank'svoicedroppedabit."Whentheweatherwasbadhewoulddrivemetoschool.Hewouldpullrightupinfront,anditseemedlikeeverybodywouldbestandingaroundandwatching.Thenhewouldleanoverandgivemeabigkissonthecheekandtellmetobeagoodboy.Itwassoembarrassingforme.HereIwastwelveyearsold,andmyDadwouldleanoverandkissmegood-bye!"Hepausedandthenwenton,"Iremembertheday.Whenwegottotheschoolandcametoastop,hehadhisusualbigsmile.Hestartedtoleantowardme,butIputmyhandupandsaid,'No,Dad.I'mtoooldforagood-byekiss.I'mtoooldforanykindofkiss.'MyDadlookedatmeforthelongesttime,andhiseyesstartedtotearup.Ihadneverseenhimcry.Heturnedandlookedoutofthewindshield(擋風(fēng)玻璃).‘You'reright,’hesaid.‘Youareabigboy...aman.Iwon'tkissyouanymore.’"Forthemoment,Frankgotafunnylookonhisface,andthetearsbegantowellupinhiseyes."Itwasn'tlongafterthatwhenmyDadwenttoseaandnevercameback."IlookedatFrankandsawthattearswererunningdownhischeeks.Frankspokeagain."Guys,youdon'tknowwhatIwouldgivetohavemyDadgivemejustonemorekissonthecheek...tofeelhisrougholdface...tosmelltheoceanonhim...tofeelhisarmaroundmyneck.IwishIhadbeenamanthen.IfIhadbeenaman,IwouldneverhavetoldmyDadIwastoooldforagood-byekiss."1、Wecanlearnfromthepassagethat.A.thefathercouldn'tfeedhisfamilyB.thesonisamanwithafunnylookC.thefathersenthissontoschoolsometimesD.everybodyintheschoolwatchedthesonbeingkissed2、Thereasonwhythesonrefusedtobekissedisthat.A.hehadgrownupB.hefelttooshyC.hewasafraidofbeinglateD.hisdadhadarougholdface3、Theunderlinedpartinthethirdparagraphprobablyimpliesthat.A.thefatheradmittedhewaswrongtokisshissonB.thefatherwasangrythathissonrefusedhiskissC.thefatherfeltworriedthathissonwouldignorehimD.thefatherrealizeditandrespectedhisson'swill4、HowdidFrankfeelwhenhetoldthestory?A.Disappointed.B.Regretful.C.Hopeful.D.Embarrassed.25.(10分)Uncoveramagicalmixofnewandunforgettableexperienceswhenyouaddthemeparkadmission.Item1:Anall-NewLanaandEveningShowatDisney’sAnimalKingdomThemeporkBuryyourselfinthemagicofnaturelikeneverbeforeatPandora-TheWorldofAvatar.Visitthisdestinationtostartinnovative(革新的)travelandenjoythemeddiningandshoppingopportunities.Andatnight,treatyoursensetoRiversofLight–anincrediblemixtureofwater,soundandlight!Item2:DazzlingNewShowsatMagicKingdomParkGetreadytowonderatOnceUponaTime,anewnightprojectionshowthatbringsCinderellaCastletolifewithprojectionsofbelovedDisneyscenesandcharacters.Inaddition,catchtheimpressiveHappilyEverAfterninthwhenitisperformedforthefirsttimeonMay12,2017.Item3:AttractiveEscapadesatEpcotBoardanancientNorwegianshipandgotothekingdomofArendelleduringaFrozenEverAfteradventure.Then,stopbytheRoyalSommerhustomeetAnnaandElsa—andmaybeevenstartawarmhug.Longingforanairadventure?Takeflightonthere-imagineSoarin’andfeelasthoughyou’reflyingabovesomeoftheearth’smostsurprisinglandmarksandlandscapes.Item4:EpicEntertainmentatDisney’sHollywoodStudiosCatchexcellentstageshowslikeBeautyandtheBeast—LiveonStage,havefunplayingvirtualgamesonToyStoryMania!,andwrapupyourdaywithStarWars:AGalacticSpectacular,alaserandspecialeffectsshowsettoaniconicmusicalscore.SeriousShopping,One-of-a-KindEateriesandWorld-ClassActsatDisneySprings.Discoverawaterfrontdestinationfilledwithmorethan150placestoshop,dineandbeentertained—includingbrandnamestores,restaurantswithrooftoproomsandtheonlyplaceintheworldtoseeCirqueduSoleilTMLaNouba.1、WhatdoItemIandItem4haveincommon?A.Diningandshopping.B.Adventureanddining.C.Shoppingandperformance.D.Shoppingandadventure.2、Wherecanvisitorsfindacastle?A.AtEpcot.B.AtMagicKingdomPark.C.AtDisney’sHollywoodStudios.D.AtDisney’sAnimalKingdomThemePark.3、HowcanvisitorsarriveatthekingdomofArendelle?A.Byair.B.Onfoot.C.Byship.D.Bytrain.第三部分語(yǔ)言知識(shí)運(yùn)用(共兩節(jié))第一節(jié)(每小題1.5分,滿分30分)閱讀下面短文,從短文后各題所給的A、B、C和D四個(gè)選項(xiàng)中,選出可以填入空白處的最佳選項(xiàng).26.(30分)Aman,awomanandachildaretellingatreetheirtroubles.“HowcanIdowhatotherssay,”askedthechild,“and1beme?”saidthetree.“I2inthewind,movedownwardsintherain,yetIalways3myself,atree.”Themansaid,“Ican’t4mylife.”“Lookatme,”saidthetree.“Ichangeevery5fromgreentobrowntogreenagain,fromshootstoflowersto6leaves.YetIalwaysremainmyself,atree.”“Ican’tloveanymore,”saidthewoman.“Withmylove,Ihave7allthatIhave.”“Lookatme,”saidthetree.“Therearebirdsinmy8,moss(苔蘚)andladybugs9onmybark(樹皮).TheymaytakewhatI10,butnotwhatIam.”Whetherweknowitornot,wearelikethetree.Onlyourpridehangsontoa11senseofself,wantingtokeepeverything,refusingto12adviceorspiritualdirection.Whatwedodoesn’tmatter;howwedoitiswhat13.Changeandgrowthisas14asthesuncomingupeverymorningandsinkingeverynight.15whatisinsideyouandlistentowhatyour16tellsyou.Whynotjustfortoday,17oncemoretoaplacethatexistsoutsideyourselfwithoutyourownorothers’18?Wecaneasily19achildwhoisafraidofthedark;buttherealtragedy(悲劇)oflifeisthatmenareafraidofthe20.1、A.a(chǎn)lreadyB.thusC.stillD.instead2、A.trembleB.bendC.waveD.fight3、A.remainB.polishC.changeD.determine4、A.promoteB.a(chǎn)dvanceC.improveD.transform5、A.timeB.seasonC.dayD.term6、A.rottenB.goldenC.brokenD.fallen7、A.givenawayB.givenoutC.takenawayD.gotthrough8、A.rootsB.branchesC.spiritD.world9、A.relyingB.focusingC.livingD.placing10、A.bearB.produceC.haveD.desert11、A.transparentB.specialC.falseD.a(chǎn)uthentic12、A.understandB.evaluateC.provideD.follow13、A.caresB.countsC.helpsD.distinguishes14、A.naturalB.funC.splendidD.fantastic15、A.GowithB.GooverC.LookafterD.Lookup16、A.dreamB.futureC.pastD.heart17、A.setoutB.putoutC.holdupD.putoff18、A.criticismB.testC.judgementD.a(chǎn)pplause19、A.forgetB.encourageC.rescueD.forgive20、A.darkB.truthC.growthD.light第二節(jié)(每小題1.5分,滿分15分)閱讀下面材料,在空白處填入1個(gè)適當(dāng)?shù)膯卧~或括號(hào)內(nèi)單詞的正確形式。27.(15分)Aheadofthisyear’sLondonBookFairinMarch,mediareportedariseininterestintranslatedworksamongBritishreadersFortranslatorAnnaHolmwood,thissignalsthe1.(arrive)ofanewera“ThisisabigmomentforChinesefictionabroad,”saysHolmwood,2.hastranslatedChineseliteratureforalmostadecadeHertranslationwork,LegendsoftheCondorHeroes,afantasynovelwrittenbyJinYong,andLiuCixin’sscience-fictionbook,TheThreeBodyProblem,areshowninaNielsenreport3.examplesoftwoofthemostpopularChinesefictionworksinBritainin4.“LanguagesingrowingdemandincludeChineseandArabic”accordingtotheNielsenreportItfoundthat,againstthecommonly5.(see)“notmorethan3percentrule”oftranslatedliterature’spresenceintheEnglish-languagebookmarkets,thenumberfor2018was6.63percentinBritain7.thetotalannualsaleswasworth$8.1millionCharlotteCollins,translatorandco-chairoftheBritishTranslatorsAssociation,says:“Aswecansee,thisproportion(比率)9.(double)inrecentyearsThisis10.(real)excitingnews”TheGuardianquotes(引用)FiammettaRocco,administratoroftheManBookerInternationalPrize,“11.(read)fictionisoneofthe12.(good)waysofputtingourselvesinotherpeople’sshoesTheriseinsalesoftranslatedfiction13.(show)howhungryBritishreadersareforterrificwritingfromothercountries”第四部分寫作(共兩節(jié))第一節(jié)短文改錯(cuò)(滿分10分)28.(10分)短文改錯(cuò)假定英語(yǔ)課上老師要求同桌之間交換修改短文,請(qǐng)你修改你同桌寫的以下作文,文中共存10處語(yǔ)言錯(cuò)誤,每句中最多有兩處,每處錯(cuò)誤僅涉及一個(gè)單詞的增加、刪除或修改。增加:在缺詞處加一個(gè)漏字符號(hào)(^),并在其下而寫出該加的詞。刪除:把多余的詞用斜線(\)劃掉。修改:在錯(cuò)的詞下面畫一橫線,并在其下面寫出修改后的詞。注意:1每處錯(cuò)誤及其修改均僅限一詞;2只允許修改10處,多者(從第11處起)不計(jì)分。Mymathteacherisusedtotakeoffhisovercoatassoonashecomesintotheclassroom、Afterthat,hewillasksomeoneansweraquestion、Insteadofgivingtheanswer,heletussolvetheproblemonhisown、Healwaysexplainsthemethodclear,andintroducesmanyapproachtoworkingouttheproblem、Atfirst,ourclassmathperforma

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