山东省青岛实验高中2025年高三一轮复习：三角函数与解三角形检测试题含答案含解析

山东省青岛实验高中2025年高三一轮复习：三角函数与解三角形检测试题含答案注意事项1．考生要认真填写考场号和座位序号。2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。第一部分必须用2B铅笔作答；第二部分必须用黑色字迹的签字笔作答。3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。第一部分（共20小题，每小题1.5分，满分30分）1．Thetwobirds_________eachotherinshapeandcolor.Inotherwords,they_________eachotherinshapeandcolor.A．differ,aredifferentfrom B．differfrom,aredifferenttoC．resemble,aresimilarto D．resemble,aresimilarwith2．________someteenagersdon’trealizeis________difficultlifecanbeaftertheygetaddictedtodrugs.A．That;how B．Which;whataC．What;what D．What;how3．--Whataboutthetwoofusgoingdowntown?--___________.Ihatespendingtimehangingaround.A．Thatsuitsmefine B．WhynotC．Itdependsontheweather D．Well,that'sthelastthingIwilldo4．Hischildrenwerehispride,andbeingadevotedfatherbecameatop______inhislife.A．capacity B．anxiety C．priority D．opportunity5．Manyofusseereadingasaninvestmentinourselves，soit’sonlynaturalthatwewanttolearnsomethinguseful________ourefforts.A．inviewofB．inresponsetoC．inparallelwithD．inreturnfor6．—Whatshallwedotonightthen?—,whateveryouwant.A．Helpyourself B．It’sadealC．Noproblem D．It’suptoyou7．Whathelikedtodowastotakeanideaand______itbyfindingeverypossibleconsequence.A．squeeze B．wrestleC．switch D．shrink8．—Doyouknowwhenyourmother________topickyouup?—At11：40am.A．hadcomeB．iscomingC．hascomeD．wouldcome9．RecentlysomehospitalsinChinahaveadopted______theycallarobot-doctor,______willbeusedtooperateonpatientswithmoreaccuracy.A．what;thatB．that;whichC．what;whichD．which;what10．Heworkedinacarfactoryforfouryears,______hefoundedhisowncompanyinhishometown.A．afterwhich B．afterwhenC．afterthat D．afterit11．Inthe"moongarden"onboardtheChang'e4,theshootsofcottonmarkedthefirstlivematterever_____onthemoon.A．havinggrownB．tobegrownC．beinggrownD．grown12．They_______thebusinessdealinlessthananhour,afterwhichtheyhadagolfgame.A．wrappedup B．pickedupC．calledup D．tookup13．Thereareno______proposalstoreducetheroadaccidents.Wearestillseekinginspiration.A．contradictoryB．concreteC．confidentialD．controversial14．—CanIlieaboutseeingatextbecauseIwastoobusyorlazytorespondtoit?—Receivingatextdoesnotnecessarilymeanyouhavetorespond．Whywasteaperfectlygoodlie________thetruthwillserve?A．unless B．until C．when D．while15．I______tellyouwithcertaintythathewon’tbeabletofinishitbeforethedeadline.A．willB．mustC．canD．may16．—Whatwasitthatcausedthepartytobeputoff?—________theinvitations.A．BecauseTomdelayedsendingB．TomdelayedtosendC．ThatTomdelayedsendingD．Tomdelayedsending17．______,hisideaswasacceptedbyallthepeopleatthemeeting.A．Strangeasmightitsound B．AsitmightsoundstrangeC．Asstrangeitmightsound D．Strangeasitmightsound18．––Whatdidthedoctorsayaboutyourinjury?––ShesaidIshouldavoiddoingtoomuchexercise______itfeelsbetter.A．untilB．sinceC．ifD．while19．Don’tbesodiscouraged.Ifyou________suchfeelings,youwilldobetternexttime.A．carryonB．getbackC．breakdownD．putaway20．Moreoftenthannot,theenterprisearoundusaregettingevenricher,________recipeisdon’tputallyoureggsinonebasket.A．ofwhich B．whichC．whose D．ofwhom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）Inspring,chickensstartlayingeggsagain,bringingawelcomesourceofproteinatwinter’send.Soit’snosurprisethatculturesaroundtheworldcelebratespringbyhonoringtheegg.Sometraditionsaresimple,liketheredeggsthatgetbakedintoGreekEasterbreads.Othersupgradetheeggintoafancyart,liketheheavilyjewel-covered“eggs”thatwerefavoredbytheRussiansstartinginthe19thcentury.Oneancientformofeggartiseggpainting,whichcomestousfromUkraine.Forcenturies,Ukrainianshavebeendrawingcomplicatedpatternsoneggs.Contemporaryartistshavefollowedthistraditionandadaptedthetraditionalmethodstocreateeggsthatspeaktotheanxietiesofourage:Lifeisprecious,anddelicate.Eggsare,too.“There’ssomethingabouttheirdelicatenaturethatcrazilyappealstome,”saysNewYorkercartoonistRozChast.Severalyearsago,shebecameinterestedineggpaintingandlearnedthetraditionalUkrainiantechniquetodrawherverymoderncharacters.“I’vebrokeneggsateverystageoftheprocess—fromtheverybeginningtothevery,veryend.”Butthere’sanappealinthatvulnerability.“There’spartofthissickeninghorrorthatIkindoflike,thehorrorofknowingyou’rewalkingontheedgewiththis,knowingthatitcouldallfallapartatanysecond.”Chast’sdesigns,suchasaworriedmanaloneinatinyboat,reflectthatdelicateness.TraditionalUkrainiandecoratedeggsalsospoketothosefears.Thecomplexanddetailedpatternswerebelievedtoofferprotectionagainstevil.Eggpaintingart,datingbackto300B．C．,waslaterabsorbedintotheChristianchurch.Theoldsymbols,however,stillsurvive.Adecoratedeggwithabirdonit,giventoayoungmarriedcouple,isawishforchildren.Adecoratedeggthrownintothefieldwouldbeawishforagoodharvest.1、Whatdowelearnaboutthedecorated“eggs”inRussia?A．Theyareshapedlikejewelcases. B．Theyareheavilypaintedinred.C．Theyarefavoredasaformofart. D．Theyarevaluedbytherich.2、Whyhavecontemporaryartistscontinuedthetraditionofeggpainting?A．Becauseeggsserveasasymbolofthecomingofspring.B．Becauseeggsprovideasourceofproteininwinter’send.C．Becauseeggsprovideauniquesurfacetopainton.D．Becauseeggsreflecttheanxietiesofpeopletoday.3、Whichofthefollowingbestexplains“vulnerability”underlinedinparagraph5?A．Delicateness. B．Technique. C．Fear. D．Anxiety.4、Whatisthemainideaofthetext?A．Eggpaintingartpreservestraditionalandpopularsymbols.B．Differentcultureshavedifferentwaysofhonoringtheegg.C．Ukrainianeggpaintingartappealstocontemporaryartists.D．Eggpaintingartcontinuesanddevelopsinpacewithtime.22．（8分）TheMalteseIslandsarerichinNeolithic(新石器时代的)sites.GgantijainGozo,Tarxien,andtheHagarQim/MnajdraComplexhereonMalta’ssouthcoastareperhapsthemostwell-known.Thesepilesofstonesaresomeoftheearliestknownmanmadestructuresintheworld.Theyareshowingtheirageabitbutwhatwouldyouexpectforbuildingsthatarefiveandahalfthousandyearsold.Myhousewasbuiltintheyear2000andisalreadyinbadconditionroundtheedges.Thesetemplesareolderthanthepyramids!Inmyopinionthetemplesarebestseenafterthevisitorshaveleft.ComewithmeforalateafternoonwalkdownthehillpastHagarQimtowardstheMnajdraComplex.TherearechainlinkfencesaroundthetemplesnowbutwecanignorethoseandtrytoimagewhyMaltasearliestpeoplewenttothetroubleofbuildingthesestructuresonthiswindyandpoorhillside.Ofcoursethetempleswouldhavelookedratherdifferentwhentheywereconstructed.Theymayhavebeendecoratedwithpigmentsandpossiblyevenroofedwithanimalskinsorothermaterials.Whoknows?Wedoknowthattheywerechangedandaddedtoovera1,000-yearperiodorso.GettingtoMnajdraandHagarQimiseasiestifyouhaveacar.Orifyoudon’tmindahike,youcouldgetabustoQrendi(3kmaway)orZurrieq(5kmaway)andwalkfromthere.Warning:althoughthedistancesarenottoogreat,walkingseveralkilometersintheMaltesesuncanbeveryhardandpossiblydangerous.Takewaterandsunscreen.1、Whatmakesthewriterwonderaboutthetemples?A．Theirhistory.B．Theirappearance.C．Howtheywerebuilt.D．Whentheywerebuilt.2、Whatareweawareofabouttheconstructionofthetemples?A．Theyhavebeentransformed.B．Theylookthesameasbefore.C．Theywerecarefullydesigned.D．Theyarenotwhattheyusedtobe.3、Howcanweadmirethesitesgettingleastsunburn?A．Byhikingthere.B．Byridingacar.C．Bytakingwater.D．Bytakingabus.4、Wherecanwepossiblyfindthisarticle?A．Inapoliticalspeech.B．Inahistoricalfiction.C．Inatravelmagazine.D．Inageographytextbook.23．（8分）Nospacecraftwilleverlandonthesun.thesunisaflamingballofgasthatreachesthousandsofdegreesFahrenheit.Butnextyear,ashipfromEarthwillflyclosertoitthananymanmadecrafthasflownbefore.Themission(任务)isabigdevelopmentforscientistsand,maybe,foreveryoneelse.InSeptember2018,NASAplanstolaunchtheParkerSolarProbe.Afterajourneyofnearly90millionmiles,itwillflywithin3.8millionmilesofthesun.withintwomonthsoflaunching,theprobeisexpectedtoreachthesun’scorona(日冕).That’sthesun’souteratmosphereofgases.Gettingtherewon’tbeeasy.Designingaspacecrafttoughenoughtoholduptothesun’sheathasproveddifficult.Butthathasn’tstoppedengineersfromtrying.Temperaturesinthecoronacanreachmillionsofdegrees.Theprobewilllimititselftoregionswherethingsgetnohotterthan2,10oF.That’sstillaheavyheatloadforaspacecraft.Buta4.5-inch-thickheatshield(罩)willprotecttheprobe’scameraandscientificinstruments.NASAsaysthedatatheprobecollectscouldprovideknowledgeintothephysicsofstars.Oursunisspecialtous.Butasastar,it’srathercommon.Sothebetterweunderstandhowitworks,thebetterweunderstandallstarsofitsmassandcolor.Perhapsthemostimportantiswhattheprobemayshowusaboutsolarstorms.Duringsolarstorms,chargedparticlesstreamthroughthesolarsystem.Theycandisablecommunicationssatellitesandshutdownpowdersystems.Onestudyhasfoundthataveryintensesolarstormcouldcauseupto$2trillionindamageintheUSalone.ItcouldalsoblackouttheEastCoastforayear.Understandingsolarstormsmightallowustopredictthemandprotectourselves.Thatcouldmakeevenamissionwithabillion-pluspricetagoneofNASA’sgreatbargains.1、Whatcanwelearnabouttheprobe?A．It’llflyclosertothesunthatthepreviousonesB．It’sthefirstmanmadeinstrumenttoflytothesunC．It’llgettothecoreofthesuninnearlytwomonthsD．It’llflyabout3.8millionmilestoreachthecorona.2、Whatisthechallengefortheengineers?A．DirectingtheprobetocollectdataB．ReducingthetemperatureoftheprobeC．BuildingashieldagainsttheheatD．Limitingtheprobetoproperregions3、Whatmightbethebesttitle?A．ExploringthestarsB．GettingclosetothesunC．DesigningaspaceshipD．Protectingtheearth4、Wheredoesthevalueofthemissionlie?A．MonitoringsatellitesB．ExploringsolarenergyC．DevelopingscientificinstrumentsD．Forecastingsolarstorms24．（8分）Inthestoryof“ThecrowandthePitcher”fromAesop’sFables,athistycrow(乌鸦)dropsstonesintoanarrowjartoraisethelowlevelofwaterinsidesohecantakeadrink.Nowscientistshaveevidencetobackupthatstory.Crowsactuallydounderstandhowtomakewaterdisplacement(移位)worktotheiradvantage,experimentsshow.Theresultssuggestthatthebirdsare,atleastinsomeaspects,assmartasfirst-graders.Researchers,ledbySarahJelbertattheUniversityofAucklandinNewZealand,presentedsixcrowswithtubesfilledwithwater.Insidethetubes,awormorpieceofmeatonapieceofwoodwasfloating,justoutofreachofthecrow.Infrontofthetubes,theresearchersarrangedseveralrubbererasersthatwouldsink,andsomeplasticobjectsthatwouldfloat.Thecrowsfoundoutthattheycoulddroptheerasersintothetubesinordertoraisethewaterlevelandgettheirsnack.However,thebirdshandledawkwardlyinexperimentsinwhichtheycouldchoosetodropobjectsineitherawidetubeoranarrowonetogetasnack,theresearcherssaid.Droppingobjectsintonarrowtubewouldliftthewaterlevelbyagreateramountandputthetreatwithinreachafterjusttwodrops;whileittookaroundsevendropstoraisethesnacktothesamelevelinthewidetube.Thecrowsobviouslydidn’trealizethis,andmostofthemwentforthewidetubefirst.Previousstudiesshowedthatchimpsandhumanchildrencansolvesimilartasks.Ina2011study,chimpsandkidsfoundoutthattheycouldputwaterintoatubetoreachapeanutthatwasfloatinginasmallamountofwateratthebottom.1、HowdidthecrowsgetthesnackinSarah’sexperiment?A．Bybreakingthetube.B．Bydroppinginerasers.C．Bystandingonthewood.D．Byremovingthewood.2、Whatdoestheauthormeanby“thebirdshandledawkwardly”inparagraph4?A．Theywereunabletotelldifferentshapes.B．Theydroppedobjectsonlyintonarrowtubes.C．Theywerenotawareofthesnackatfirstsight.D．Theymostlyavoidedtheeasierwaytogetthesnack.3、Whatdoesthetextmainlyfocuson?A．StoriesofAesop’sFables.B．Thedevelopmentofcrows.C．Crows’intelligence.D．Human-animalcommunication.4、Whatcanwelearnfromthepassage?A．Crowsarealmostascleverasfirst-gradersinsomerespects.B．Crowsunderstandwaterdisplacementcompletely.C．Chimpsandchildrenaremuchsmarterthancrows.D．Thestoryof“ThecrowandthePitcher”lacksevidence.25．（10分）TheVanGoghMuseuminAmsterdamhaswelcomedhometwopaintingsbytheDutchmaster,morethan14yearsaftertheywereripped(扯)offthemuseum’swallinanighttimetheft.MuseumdirectorAxelRuegercalledtheirreturn“oneofthemostspecialdaysinthehistoryofthemuseum”.ThepaintingswerediscoveredlastyearbyItalianpolicewhiletheyweresearchinganItaliancriminals’farmhousenearNaplesforevidenceofdrugdealing.Theywereinaboxandhiddenbehindawallinatoiletwhentheywerefound.Thepaintingswereconsideredamongtheartworksmostsearchedforintheworld.Afteryearsindarkness,theycannowshineagain.Theyarebackondisplayatthemuseumbeforebeingtakentotheconservationstudioforrepair.Fortunately,theysufferedsurprisinglylittledamageasthieveswhohadclimbedupaladderandbrokenawindowtogetintothemuseumin2004rippedthemoutoftheirframes.“Itisnotonlyasurprisethattheworkshavebeenrecoveredbutit’sevenmoresurprisingtheyareinrelativelyunharmedcondition,”Ruegersaid.ThemuseumdirectorwasonvacationwhenthecallcamelastyearfromItalianauthoritieswhobelievedtheyhadrecoveredthepaintings.Hedidn’tcelebraterightaway.He’dhadcallslikethisbefore.“Iwashopefulbutalsoalittlehesitant.Overtheseyears,wehadsomanyoccasionswhenpeoplephonedus,contactedus,claimingthattheyknewsomethingaboutthewhereabouts(下落)oftheworksandeachtimeitwasfalse,thetracewentcold,”hesaid.“So…thewayhasbeenfullofdisappointment.”ButmuseumexpertssenttoItalytochecktheauthenticity(真实性)oftheworksquicklyturnedRuegersdoubtsintodelight.Ruegersaidthepaintingsarenowbackatthemuseum,whichishometodozensofworksbyVanGogh.“I’mveryconfidentthateverythingissafeinthemuseumfromnowon,”hesaid.1、Howwerethestolenpaintingsfound?A．Thepolicefoundthembyaccident. B．Thearrestedthievesgaveinformation.C．Somedrugdealersofferedclues. D．Thepoliceknewthehiddenplace.2、WhatsurprisedRuegermostaboutthelostpaintings?A．Theywerestolenatnight. B．Theywerefoundatlast.C．Theysufferedlittledamage. D．Thesearchtook14years.3、WhenRuegergotthecall,he________.A．didn’tbelieveitatall B．feltquitesatisfiedC．plannedtocelebrate D．doubtedthenews4、WhatdoestheunderlinedpartinParagraph6probablymean?A．Ruegergraduallylostinterestinthesearch.B．Thenumberoffalsecallswasgreatlyreduced.C．Ruegerfeltcoldbecauseoftoomanyfalsecalls.D．Thechancetofindthepaintingsbecamesmall.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）Historically,theterm“fairtrade”hasmeantmanythings.TheFairTradeLeaguewas1inBritainin1881torestrict2fromforeigncountries.IntheUnitedStates,businessesandlaborunions3“fairtrade”lawstoconstruct构建whateconomistJosephStiglitzcalls“barrierstoimports.”Thesesocalled“anti-dumping(反倾销)”lawsallowacompanythat4aforeignoneofsellingaproductbelowcosttorequestthatthegovernmentcharge收费specialtaxestoprotectitfrom“unfair”5Suchdarkprotectionistthoughtsarefarfromthe6oftheorganizersoftheUnitedKingdom’sannual“FairtradeFortnight”.Their7aimistoraisethepricepaidtodeveloping-countryfarmersfortheir8bycuttingouttheinflatedprofits虚抬利润ofthemiddlemenonwhomthey9forgettingtheirgoodstodistantmarkets.Fair-tradeproducts10cocoa,coffee,tea,andbananasdonotcompetewithdomesticEuropeanproduction,and11donothaveaprotectionistmotive(动机).Thisishowitworks:In12forbeingpaidaguaranteedpriceandmeeting“agreedlaborandenvironmentalstandards”(minimumwages,nofarmchemicals),poor-countryfarmingcooperatives(合作社)receiveaFAIRTRADEmarkfortheirproducts,given13bytheFAIRTRADELabelingOrganization.Thismark14supermarketsandotherbusinessestoselltheproductsatahigherthan15price.Third-worldfarmersgettheirincomeincreased,16first-worldconsumersgettofeelvirtuous:amarriagemadeinheaven.Thefair-trademovement,17inthe1980’s,hasbeengrowingrapidly.Inasignificantbreakthroughin1997,theBritishHouseofCommons18toserveonlyfair-tradecoffee.Bytheendof2007,morethan600producers’organizations,191.4millionfarmersin58countries,weresellingfair-tradeproducts.Today,aquarterofallbananasinUKsupermarketsaresoldunderaFAIRTRADEmark.ButFAIRTRADE-labeledproductsstillrepresentavery20share—typicallylessthan1%—ofglobalsalesofcocoa,tea,coffee,etc.1、A．discovered B．founded C．encouraged D．promoted2、A．imports B．exports C．output D．trade3、A．disobey B．break C．use D．study4、A．suspects B．needs C．wants D．advertises5、A．agreement B．contract C．game D．competition6、A．worries B．minds C．comments D．projects7、A．educational B．political C．worthy高尚 D．immediate8、A．favour B．benefit C．interest D．produce(n.农产品)9、A．depend B．spend C．look D．apply10、A．as B．like C．with D．for11、A．instead B．otherwise C．therefore D．anyhow12、A．fear B．store C．preparation D．exchange13、A．secretly B．publicly C．officially D．successfully14、A．urges B．enables C．orders D．forces15、A．normal B．potential C．lowest D．best16、A．when B．while C．as D．but17、A．launched B．arranged C．invented D．developed18、A．wanted B．refused C．had D．decided19、A．telling B．representing C．Choosing D．receiving20、A．small B．little C．good D．large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）QiangShupingwassobusymakingclothshoes1．shedidn’tevenrestduringtheDragonBoatFestivalholidayThewomanfromBaipuCounty,JiangsuProvince,2．(make)shoessinceshewas19yearsold,andthisyearmarksher31styearmakingclothshoesShespendstheentiredayinhertinystudio,which3．(measure)lessthan10squaremetersaltogether,filledwithclothshoesin4．(variety)stagesofcompletionNowadays,manystoresmakeclothshoes5．(use)machines,butQiangstickstothetechniqueofmakingshoesentirely6．handShesaystheshoes7．(produce)bythemachinearenotofthesamequalityashandmadeonesThehandmadeclothshoesaremoredurableandcomfortable,8．(soft),andabsorbsweatbetterSomepeoplebuyclothshoesoutofnostalgia(怀旧),whileotherstrust9．(they)qualityMakingshoesisn’taprofitablejob,butQiangstillinsistsasshewantstopreservethecraftandpassitdowntotheyoungergenerationHandmadeclothshoesarealsocalledqiancengdi(shoeswithathousandlayers),10．candatebacktotheancientZhouDynastyIn2009,themakingtechniqueofqiancengdiwaslistedasthenationalintangibleculturalheritage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。每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：把多余的词用斜线(\)划掉。修改：在错的词下划一横线，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。DearMommy、HappyMother'sDay!ThisisaspecialholidaybecausethatitisadayforyoutofeeltheappreciationforallyouhavedoneforAmyand1、Iammostthankfulforallthesacrificesyouhadmadeinorderforuslivethemostcomfortablelivespossible、Youputyourselfindifficultysituationssothatwehavefoodtoeat,cleanclothestowearandawarmhometosleepin、Thankyouforyourendlessloveandhardworks、Youreffortsarenevertakingforgranted、Ireallycouldn’taskforthebettermom、Throughyou,Iamabletounderstandwhichtrueloveis:lovingsomeoneunconditionalforwhattheywere,areandwillbe、Love,Anna第二节书面表达（满分25分）29．（25分）假设你是北京中学高三学生李华。你的英国笔友Chris及家人寒假要来北京旅游，她在邮件中希望你推荐一个你认为北京最値得去的地方。请你给Chris回信，内容包括：1.表示欢迎；2.推荐地方并说明理由；3.表达陪同意愿。注意：1.词数不少于50；2.开头和结尾已给出，不计入总词数。DearChris,____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Yours,LiHua

参考答案第一部分（共20小题，每小题1.5分，满分30分）1、C2、D3、D4、C5、D6、D7、B8、B9、C10、A11、B12、A13、B14、B15、C16、C17、D18、A19、D20、C第二部分阅读理解