石家庄第二中学2024-2025学年高三一轮复习：三角函数与解三角形检测试题含答案含解析

石家庄第二中学2024-2025学年高三一轮复习：三角函数与解三角形检测试题含答案考生请注意：1．答题前请将考场、试室号、座位号、考生号、姓名写在试卷密封线内，不得在试卷上作任何标记。2．第一部分选择题每小题选出答案后，需将答案写在试卷指定的括号内，第二部分非选择题答案写在试卷题目指定的位置上。3．考生必须保证答题卡的整洁。考试结束后，请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．—________!Somebodyhasbrokenthevase!—Don’tlookatme.A．Comeon B．Hi,thereC．Thankgoodness D．Dearme2．Thereisnodoubtthatclimateallovertheworld______greatlyinrecentyears.A．hadchanged B．ischangingC．changed D．hasbeenchanging3．Althoughwarstillexistsonourplanet，Idobelieveit’spossiblefordifferentethnicgroupstolivetogetherin______.A．agreementB．harmonyC．connectionD．comparison4．Theworldisnotalways______wewishittobe.A．that B．whichC．what D．where5．Whenwas_____youlastmetJennifer?Ihaven’tseenherforages.A．itthat B．it C．itwhat D．what6．______inpainting,Johndidn’tnoticeeveningapproaching.A．Toabsorb B．TobeabsorbedC．Absorbed D．Absorbing7．—SometimesIamevensleepyinclass.—It’sterrible.You_____aswellgotobedearlier.A．should B．willC．might D．can8．—Whatshallwedotonightthen?—,whateveryouwant.A．Helpyourself B．It’sadealC．Noproblem D．It’suptoyou9．______whathadhappened,theyknewIwouldstruggleandsimplywantedtohelpbecauseitwastherightthingtodo.A．Hearing B．Tohaveheard C．Havingheard D．Heard10．Theproblem_______hewillhavehiscollegeeducationathomeorabroadremainsuntouched.A．howB．whetherC．thatD．when11．Whenhewasrunningafterhisbrother,theboylosthis___andhadabadfall.A．balance B．chanceC．memory D．place12．Thedeal，nextweek，willallowCharneytomakeagreatfortuneinthestockmarket.A．completed B．beingcompletedC．tobecompleted D．havingbeencompleted13．Itwasfromonlyafewsuppliesthatshehadbroughtinthevillage____thehostesscookedsuchanicedinner.A．where B．when C．that D．which14．ThepressshouldexpanditsinfluenceininternationalpublicopiniontomakeChina’svoicebetter______intheworld.A．hearing B．tobeheardC．hear D．heard15．HadMarynotbeenhurtinthecaraccident,________thenextweek’smarathon.A．shewouldrun B．shewouldhaverunC．shewillrun D．shemusthaverun16．China’sBeiDouNavigationSatelliteSystem,whosepositioning________willreach2.5metersby2020,willsoonprovideservicesformorecountries.A．accuracy B．categoryC．function D．reference17．Frommypointofview,there’slittlechancethatwewillbesuccessfulintryingtochangethepresentsituation.________,itisimportantthatwetryourbest.A．Meanwhile B．OtherwiseC．Therefore D．Nevertheless18．Atthattime,themovie“ShaolinTemple”,_________LiLianjieplaysthestarringrole,drewtheworld’sattentiontoChineseKungfu.A．where B．when C．that D．which19．Weallknowthatgoodresults________foryouwhenyoustartdoingthingsyoulove.A．arewaitingB．havewaitedC．havebeenwaitingD．willbewaiting20．Thisfilmisverywithyoungpeople,whichtellsareallyromanticstory.A．familiarB．popularC．similarD．particular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）Everythingaboutnuclearenergyseemsterrificallybig:thecost,constructionanddecommissioning—andthefearsofsomethinggoingbadlywrong.Thefuture,howevermaywellbemuchsmaller.Dozensofcompaniesareworkingonanewgenerationofreactorsthat,theypromise,candelivernuclearpoweratlowercostandreducedrisk.Thesesmall-scaleplantswillonaveragegeneratebetween50MWand300MWofpowercomparedwiththe1,000MW-plusfromaconventionalreactor.Theywilldrawonmodularmanufacturingtechniquesthatwillreduceconstructionrisk,whichhasplaguedlarger-scaleprojects.Supportersbelievetheseadvancedmodularreactors(AMRs)—mostofwhichwillnotbecommercialuntilthe2030s—arecriticalifatomicpoweristocompeteagainsttherapidlyfallingcostsofsolarandwind.“Thephysicshasn’tchanged.It’saboutmuchclevererdesignthatoffersmuch-neededflexibilityintermsofoperation,”saidTimStone,long-termindustryadviserandchairmanofNuclearriskInsurers,whichinsuresnuclearsitesintheUK.SincetheFukushimameltdowninJapanin2011,safetyfearshavethreatenednuclearpower.Butthebiggestobstacletodayiseconomic.InwesternEurope,justthreeplantsareunderconstruction:intheUKatHinkleypointCinSomerset;atFlamanvilleinFrance;andatOlkiluotoinFinland.AllinvolvetheEuropeanPressurizedReactortechnologyofEDFthatwillbeusedatHinkleyPoint.Allarerunningyearslateandoverbudget.IntheUS,thefirsttwonuclearprojectsunderwayforthepast30yearsarealsoblowingthroughcostestimates.TheUK,whichopenedtheworld’sfirstcommercialnuclearreactorin1956,isoneofthefewwesternnationscommittedtorenewingitsageingfleettoensureenergysecurityandmeettoughcarbonreductiontargets.Itisseenasaprovingground,bymanyintheindustry,ofnuclearpower’sabilitytorestoreconfidence.However,thecountry’sagreementwithEDFtobuildtwounitsatHinkleyPoint—whichtogetherwillgenerate3.2GWofelectricity—hascomeunderseverecriticismoveritscost.Thegovernmentislookingatdifferentfundingmodelsbutsaiditstillseesnuclearpowerasvitaltothecountry’sfutureenergymix.Smallreactors,itbelieves,havethepotentialtogeneratemuch-neededpowerfromthe2030s.Anuclearsectordeal,unveiledlastmonth,promisedupto￡56minfundingforresearchanddevelopmentintoAMRsandattractedinterestofstart-upsfromaroundtheworld.ThegovernmenthopesthefundingwillgivetheUKaleadintheglobalracetodevelopthesetechnologies,helpingtoprovideenergysecuritywhilealsocreatingamultibillion-dollarexportmarketforBritishengineeringcompanies.1、Whichofthefollowingistrueabouttheadvancedmodularreactors(AMRs)?A．AMRsproducemorepowerthantraditionalreactorsB．Smallinscale,AMRsrosemoresafetyrisksC．Sofar,mostAMRshavenotbeenputintouseyetD．GovernmentspreferenergyofsolarandwindtothatofAMRs2、Inparagraph5,theauthormentionstheplantsinWesternEuropeandtheUSto________.A．provethatnuclearpowerhasbeenthreatenedbysafetyconcern.B．showthattheconstructionofnuclearpowerplantscostmorethatthebudgetavailable.C．indicatetheconstructionofnuclearplantsareslowinspeed.D．pointoutthatmostpowerplantshaveadoptedthelatestnucleartechnology.3、Whatcanbeinferredfromthepassage?A．SomepeoplehavelostconfidenceinthedevelopmentofnuclearplantsB．TheUKgovernmentseekstoreducethenegativeimpactofnuclearpoweronitseconomy.C．TheplantobuildtwopowerplantsinHinkleyPointhasbeendesertedD．akindcostsforsmallmodularreactorswouldbehigherrelativetolargenuclearreactors.4、Whichofthefollowingcanserveasthebesttitleofthispassage?A．BritaincountsonnuclearenergytokeeplightsonB．TraditionalnuclearplantsboomwithminireactorsC．Nuclear’sshareofpowergenerationremainsteadD．Nuclearpowerlookstoshrinkitswaytosuccess22．（8分）TheOklahomateen’seyeswerecoveredbytwoblindfolds(眼罩)forthebigsurprise:beingreunitedwithherfather,James,after12-yearseparation.“Ihadactuallydiscussedwithherthenightbeforeatarestaurantandtalkedoverthedetailsofwherewewouldgoandhowwewouldpullitoff,”saidAmanda,RoryBeth’smother.AvideoshowsAmandaledherblindfoldeddaughteroutoftheircarandguidedheracrosstheparkinglotofBrokenArrowLanesinBrokenArrow.Littledidsheknow,herfatherwasonthesidewalkholdingabirthdaycakethatread,“HappyBirthdayRoryBeth,LoveDad.”Whentheteenslowlypulleddownherblindfolds,shewasdumbfounded.BoththefatheranddaughterstoodsilentlylookingateachotheruntilJamesfinallywalkedoverandhuggedher.Jamesonlybroketheirembracetolookathisdaughterandholdherface.“Thereweredefinitelylotsoftearsfrommyself,herbrothers,andevenafewbystanders,”saidAmanda.Jameswasatruckdriverwhospentalotoftimeontheroad,andAmandasplitwithhimwhenRoryBethwasababy.“Itwashardtofigureouthowtomakeitwork,”Amandasaid.AmandafeltRoryBethwasnowoldenoughtounderstandandtoaskanyquestionsshemayhave,sothereunionhappened.ThebirthdaysurprisewasonJune4,andthefatheranddaughterhadseeneachotheragainsince,evencelebratingFather’sDaytogether.AmandasaidherdaughterandJameswerebothdelightedtobereunited“She’salreadycallinghim‘daddy’andtellshimthatsheloveshim,”Amandasaid.“They’rebothverycommitted.”1、WhatcausedRoryBethtobeseparatedfromherfatherfor12years?A．Herparents’divorce.B．Herfather’sworkingasataxidriver.C．Themisunderstandingbetweenthem.D．Herpreferenceforlivingwithhermother.2、WhydidRoryBethreunitewithherfather?A．Herfatherwaseagertoseeher.B．Shehadmanyquestionstoaskherfather.C．Shewasoldenoughtorecognizeherfather.D．Hermotherthoughtitwastimeforhertoseeherfather.3、Whatdoestheunderlinedword“dumbfounded”inParagraph4mean?A．Tired.B．Scared.C．Shocked.D．Confused.4、Whatdoweknowfromthetext?A．ThevideoaboutthereunionwasshotbyJameshimself.B．RoryBeth’sbrothersaccompaniedhertoseeherfather.C．RoryBethcalledJames“daddy”onher12thbirthday.D．AmandahadaconversationwithRoryBethonJune3.23．（8分）Theyear47willbeaneventfuloneforart.InMayofthatyearinBerlin,thephilosopher-artistJonathonKeats’“centurycameras”—cameraswitha100-year-longexposure(曝光)time—willbebroughtbackfromhidingplacesaroundthecitytohavetheirresultsdevelopedandexhibited.Sixmonthsafterthat,theFutureLibraryinOslo,Norway,willopenitsdoorsforthefirsttime,presenting100booksprintedonthewoodoftreesplantedinthedistantpastof2017.AsKatiePaterson,thecreatoroftheFutureLibrary,putsit:“FutureLibraryisanartworkforfuturegenerations.”Theseprojects,morethanacenturyinthemaking,arepartofanewwaveofslowartintendedtopushviewersandParticipantstothinkbeyondtheirownlifetimes.Theyaimtochallengetoday’sshort-termthinkingandthebriefattentionspansofmodernconsumers,forcingpeopleintoconsideringworksmoredeliberately.Intheirway,too,theyarefightingagainstmodernculture—notjustregardingmoney,butalsothewayinwhichartisticworthismeasuredbyattention.Inasimilarfashion,everyAprilonSlowArtDay,visitorsareencouragedtostareatfiveworksofartfor10minutesatatime—atoughtaskfortheaveragemuseumvisitor,whotypicallyspendslessthan30secondsoneachpieceofart.LiketheFutureLibrary,thecenturycamerasareverymuchaprojectforcities,sinceit’sincitiesthattimerunsfastestandthepaceoflifeisfastest.“SinceIstartedlivinginacity,I’vesomehowbeenquitedisconnected,”AnneBeateHovind,theFutureLibraryprojectmanager,whodescribedhowworkingonthelibrarydrewherbacktothePaceoflifesheknewwhenshewasgrowinguponafarminheryouth,toldTheAtlanticmagazine.1、Accordingtothefirstparagraph,whatwillNOThappenin47?A．Acamerawhichwasproduced100yearsagowillbeexhibited.B．TheFutureLibrarywillbe0pentothepublicforthefirsttime.C．Photoswitha100-yearexposuretimewillbedevelopedandexhibited.D．Booksprintedonthewoodoftreesplantedin2017willbedisplayed.2、Whatcanwelearnabouttoday’speople’sattitudetowardworksofart?A．Theyconsiderworksdeliberately.B．TheyspendlittletimeonWorks.C．Theyspendmuchmoney0nworks.D．Theystareatworksfor10minutesatatime.3、Whatisthepurposeofthewaveofslowart?A．Toadvocatecreatingworksofartslowly.B．Toprotectworksofartfrombeingdamaged.C．Topromoteworksofartformodernculture.D．Toencouragepeopletopaymoreattentiontoworksofart.4、HowwouldAnneBeateHovindfeelaboutthecitylife?A．It’sdiscouragingB．It’sdullC．Itsdeveloped.D．It’sbusy24．（8分）TheHarvardPre-CollegeProgramisaniceexperienceforhighschoolstudents.Alongsidepeers(同辈)fromaroundtheworld,you’llbeintroducedtocollegelifeasyouattendclasses,liveoncampus,andenjoyfunoutingsandactivities.◆LearningwithoutlimitsBiology,physics,law,writingandphilosophy—thesearejustafewofthe30-pluscoursesyoucanchoosefromineachsession.Inournoncreditclasses,wesetasidegradessothatyoucanfullycommittoyourgrowthasawell-roundedstudent.Classsizestypicallyrangefrom14to18studentstoencourageinteractivelearning.◆LivingatHarvardWhenyouattendthePre-CollegeProgram,you’llliveinahistoricundergraduatehouse,nearHarvardSquare.YouwillbewithyourfellowPre-Collegestudents,residentdirectors,andproctorswhoprovidesupport.You’llalsoenjoymealsinoneofHarvard’sdininghalls,whichareashortwalkfromHarvardYardandprovidemanyoptionsforavarietyofdietaryneeds.◆ThrivingoutsidetheclassroomThesummerPre-CollegeProgramoffersmanymentallychallengingco-curricular(补充课程的)activitiesbeyondtheclassroom.WithfacultyandHarvard-affiliatedexperts,youwillhavetheopportunitytoparticipateinworkshopsontopicslikethepsychologyofcolor-blindness,classicliteraturefromaroundtheworldandscienceofhappiness.FromourCambridgescavengerhunttoatriptotheSandSculptingFestivalatAmerica’sfirstpublicbeach,there’snoshortageoffunactivitiesinthePre-CollegeProgram.1、Whatdoweknowaboutthe30-pluscourses?A．Youcanonlychoosefiveofthem.B．Theyprovidecreditsforstudents.C．Youshouldsetasideothersubjects.D．Theyassistyourfulldevelopment.2、Wherecanyouenjoymealsduringtheprogram?A．NearHarvardSquare. B．ClosetoHarvardYard.C．Inoneoftheworkshops. D．Inanundergraduatehouse.3、Whatisthepurposeofthepassage?A．Toadvertisemeals. B．Tocommentonanactivity.C．Tointroduceaprogram. D．Torecommendcourses25．（10分）FourFreeMobileAppstoHelpYouLearnEnglishFasterHaveyourealizedthatyoucanputyoursmartphonetoreallygooduseforlearningEnglish?Hereare4freemobileappsthatwillhelpyoudojustthat.HelloEnglishItcoversalltheaspectsoflanguagelearning,includingvocabulary,translation,grammar,spellings,spokenandreadingskills.ItusesinteractivegamestoteachdifferentEnglishlessonsandoffersnewaudiobooks,latestnews,andbooks.However,youshouldalreadyunderstandbasicEnglishstructuresandalphabets,fortheappcan’thelpyoulearnEnglishfromscratch(从零开始).DuolingoIfyouwanttolearnEnglishfromscratch,thenthisistheappyouarelookingfor.DuolingousesinteractivegamestohelpyoulearnEnglish.Forbeginners,theappfocusesonhelpingyoulearnverbs,phrasesandsentences.LingbeIfyouarereadytopracticeyourspokenskillsinthereal-world,you’llneedLingbe.It’sacommunity-basedappwherepeoplehelpeachotherandsharetheirnativelanguages.ItconnectsyouwithrealpeopleoncallwhoarenativeEnglishspeakers.HelloTalkHelloTalkissimilartoLingbeasitconnectsyouwithnativespeakerstohelpimproveyourlanguageskills.However,itaddsafewextrafunctionsthatmightinterestyou.Youcanviewtheinformationaboutuserstofindamatchthatinterestsyou.Additionally,youcanalsosendtextandaudiomessages,andevendovideocallswithotherpeople.Ifyouareabeginner,startfromDuolingoandthenuseHelloEnglishtotakefullcommandoverthelanguage.ForfluentspokenEnglishlearners,youcantryoutLingbeorHelloTalk.1、WhatshouldyoualreadyunderstandtouseHelloEnglish?A．Goodreadingandwritingskills.B．Basiclisteningandspeakingtips.C．DifferentEnglishlessonsandbooks.D．Englishlettersandbasicstructures.2、WhichappisthebestchoiceforanEnglishbeginneratfirst?A．HelloEnglish.B．Duolingo.C．Lingbe.D．HelloTalk.3、WhatcanyoudoonLingbe?A．Readthelatestnews.B．Enjoytheinteractivegames.C．PracticeyourspokenEnglish.D．Talkwithnativespeakersintheflesh.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）完形填空阅读下面短文，从短文后各题所给的四个选项（A,B,C,D）中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。OnanairplaneasshewasflyingacrosstheUnitedStates,Dr.JaneGoodallnoticedawomansittingnexttoher.Sheaskedthewomanwhyshewassotired,andthewomansaidshewasabsolutely1becauseshe’dbeenupattwointhemorningtryingto2thewater.Heryoungdaughterwasinanenvironmentalgroupatschoolandherdaughter’spassionhadturnedtomakingsureher3waseco-friendly.Theywerestayingatthehouseofthewoman’sbrotherthenight4hertrip,andinthemiddleofthenightherdaughterwokeuptothe5ofadrippingfaucet.Thedaughteraskedfor6turningitoffasthefaucethandlewas7.Theonlywayto8theleakwastodigtothepipeinthefrontlawntofindthemainvalvetoturnthewateroff，andherdaughterwouldn’tgotosleepuntiltheleakstopped.Soattwointhemorning9inthefamilywasoutintheyardhelpingto10toturnoffthewater.Youngpeoplehavemuchmore11tostartandaccomplishchangesthanwhat12maybelieve.Whenchildrenmakeachangeintheirlives,familiesare13alongtobecomeenvironmentallyfriendly.Thestoryalsoshowsthat14actionscanhaveabigimpact.We15tothinkabout16eventslikeCleanandGreenWeek.Instead,alotofsmallchangescanmakea(n)17Ifhundredsorthousandsofstudents18theirfamiliestoturnoffthetaptosavewater,movetheairconditioningtemperature19adegreeortwoinsummer,drivelessandmakeotherenvironmentally-friendlychanges,the20familymaychangeitsbehaviors.1、A．exhausted B．delighted C．sad D．angry2、A．turnon B．turnoff C．takealong D．bringalong3、A．mother B．family C．school D．group4、A．after B．on C．during D．before5、A．sound B．voice C．rhyme D．music6、A．advice B．pleasure C．help D．trouble7、A．opened B．thrown C．dropped D．broken8、A．stop B．prevent C．hold D．cut9、A．someone B．anyone C．everyone D．noone10、A．fix B．dig C．mend D．fit11、A．power B．time C．energy D．wisdom12、A．officials B．teenagers C．teachers D．adults13、A．saved B．praised C．seated D．dragged14、A．important B．small C．unnecessary D．influential15、A．plan B．tend C．attempt D．mean16、A．new B．traditional C．big D．social17、A．living B．difference C．effort D．fortune18、A．want B．allow C．convince D．force19、A．off B．away C．down D．up20、A．rich B．large C．entire D．ordinary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）MymotherandmybrotherweretakingatriptoWashington,D．C．Theycamebackwiththemost1．(amaze)storyIhaveeverheard!WhentheypassedbyNewYork,theirtrainfailedtowork2．(proper),theconductorsaskedeveryonetomoveforwardtoanothertrainWheneveryone3．(seat),mymotherrealizedshedidn’thaveherhandbag,in4．washermoney,tickets,creditcardandlicenseSherushedtoaconductor“Excuseme,IleftmybagontheothertrainCanyoustopthetrain?”Theconductorreplied,“Oh,I’msorry,5．wecannotletyouoff”Mymomquicklypickeduphercellphone,6．onlythingshehad,andstartedcallingsomeoneforhelpbut7．vainLuckily,whenthetrainfinallystoppedinDelaware,amanleftthetrainandhandedmymom$8．Mymotherthankedhimandfeltgratefulforhis9．(kind)Shegottheman’saddressandpromised10．(find)awaytopayhimbackMymotherandmybrotherfinallyarrivedinWashington,D．C．,butdidnotgettodoallthethingsas11．(plan)Theygottotakeafewlikerides,buysouvenirs,andmoreTheymadethebestoftheworstvacation!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。Haveyoueverhadheadacheduringatest?Haveyoueverbeentooconcernedaboutsomethingthatyouevencan’tsleepatnight?Ifso,thenyouknowthatstressis、Toomuchstresscanresultinangry,de