珠海高一期末考试|珠海高一期末试卷
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珠海,广东省地级市,地处北纬21°48′~22°27′、东经113°03′~114°19′之间。位于广东省珠江口的西南部,东与香港隔海相望,南与澳门相连,西邻江门市新会区、台山市,北与中山市接壤。小学生作文网.zzxu.小编为大家整理的相关的珠海高一期末试卷供大家参考选择。 高一数学试题A卷及参考答案和评分标准 一、选择题:本大题共12小题,每小题5分,满分60分.在每小题给出的四个选项中,只有一项是符合题目要求的.请在答题卡上填涂相应选项. 1.程序执行两个语句“S=0,i=1”后,再连续执行两个语句“S=S+i,i=i+2”三次,此时S的值是 A.1B.3C.4D.9 2.某校打算从高一年级800名学生中抽取80名学生进行问卷调查,如果采用系统抽样的方法,则抽样的分段间隔应为 A.20B.10C.8D.5 3.随机抽取某中学甲乙两班各10名同学,测量他们的身高(单位:cm),获得身高数据的茎叶图如右图.则两个班的样本中位数之和是 A.341B.341.5C.340D.340.5 4. A.B.C.D. 5.已知向量,,则 A.B.C.D.(-1,5) 6.已知一组数据:1,2,1,3,3.这组数据的方差是 A.4B.5C.0.8D. 7.同时掷两个骰子,“向上的点数之和大于8”的概率是 A.B.C.D. 8.中国古代数学著作《九章算法》中的“更相减损术”可用来求两个正整数的最大公约数。现应用此法求168与93的最大公约数:记(168,93)为初始状态,则第一步可得(75,93),第二步得到(75,18),….以上解法中,不会出现的状态是 A.(57,18)B.(3,18)C.(6,9)D.(3,3) 9.下列函数中,最小正周期为的是 A.B.C.D. 10.已知,则的值为 A.1B.C.D. 11.已知,,,,则 A.B.C.D. 12.已知向量,,,则的最小值是 A.1B.0C.2D.4 选择题答案:1-6:DBDCAC7-12:DCBBDA 二、填空题:本大题共8小题,每小题5分,满分40分.请将答案填在答题卡相应位置. 13.将二进制数化为十进制数,得到.23 14.已知单位向量与所夹的角为60°,则.3/2 15.某企业有3个分厂生产同一种产品,第一、二、三分厂的产量之比为2:3:5,用分层抽样方法(每个分厂的产品为一层)从3个分厂生产的产品中共抽取100件作样本,则从第二分厂抽取的产品的数量为.30 16.用秦九韶算法求多项式当的值,其中乘法的运算次数与加法的运算次数之和是.12 17.任取,则“”的概率是.2/3 18.化简:=________.-2 19.已知,,则________. 20.函数的最大值为________. 三、解答题:本大题共5小题,每小题10分,满分50分.解答须写出文字说明、证明过程或演算步骤。 21.(本小题满分10分)(统计1)从全校参加期末考试的试卷中,抽取一个样本,考察成绩(均为整数)的分布,将样本分成5组,绘成频率分布直方图,如图所示.图中从左到右各小组的小矩形的高之比为2:3:6:4:1,最右边的一组频数是5. (1)求样本容量; (2)求样本90.5~105.5这一组的频数及频率; (3)如果成绩大于120分为优秀,估计这次考试成绩的优秀率(用百分数表示,精确到1). 解:(1)样本容量=(2+3+6+4+1)×5=80;…(3分) (2)90.5~105.5这一组的频数=3×5=15,…(6分)频率=15/80=;…(8分) (3)样本的优秀率=(4+1)/16×100%≈31%,估计这次考试成绩的优秀率为31%.…(10分) 22.(本小题满分10分)(概率1)某位老师对两个班100名同学进行了是否经常做家务的调查,数据如下表: 班别经常做家务不经常做家务总数 一班203252 二班252348 列总数4555100 如果随机地问这两个班中的一名学生,下面事件发生的概率是多少? (1)经常做家务; (2)是二班的同学且不经常做家务. 解:(1)这是一个古典概型,因为试验的可能结果是有限的,而且等可能性的:100名同学,随机抽到任何一个同学都有相同的可能性,即基本事件总数为100;…(1分) 记“抽到经常做家务的学生”为事件A,则事件A包含的基本事件数为45;…(3分) 根据古典概型的概率计算公式可得 …(5分) (2)与(1)相同,随机抽到两个班中任何一名同学都是等可能性的,基本事件总数为100;…(6分) 记“抽到的同学是二班的同学且不经常做家务”为事件B,则事件B包含的基本事件数为23;…(8分) 根据古典概型的概率计算公式可得 …(10分) 23.(本小题满分10分)(三角5)已知函数的图像经过点,当时,取得最小值. (1)求函数的解析式; (2)的图像经过怎样的平移和伸缩变换,可以得到的图像? (1)解:∵的最小值为,∴,…(1分) 根据题意,有…③ ∴ 由已知,且在上单调递增,得:…(3分) 当时, ∵,∴,,∴ ∴…(5分) ∴…(6分) (2)解法一:将的图像上的每个点的横坐标伸长为原来的两倍,纵坐标不变,可以得到的图像,…(8分)再向右平移个单位,可以得到的图象;…(10分) 解法二:将的图像向右平移个单位,可以得到的图像,…(8分)再将图像上每个点的横坐标伸长为原来的两倍,纵坐标不变,可以得到的图象.…(10分) 24.(本小题满分10分)(平向10)如图,三角形ABC中AB=3,AC=6,∠BAC=60º,D为BC中点,E为中线AD的中点. (1)试用向量和表示; (2)求中线AD的长; (3)求与所成角的余弦值. 解:(1),…(2分) (2)…(4分) …(5分) …(6分) (3)…(7分) …(8分) ,…(9分) …(10分) 25.(变换10)设,,,. (1)求的单调递增区间; (2)当时,求的值域. 解:(1) …(2分) (或)…(3分) 当时,的值随自变量增大而增大…(6分) 有 所以的单调递增区间为 (或,区间开闭均可)…(7分) (2)当时,,令, 在上递增,在上递减,…(8分) ,,…(9分) 当时,的值域为…(10分) 一、单项填空 1.难度:中等 ___________youhaveyourputerstolen.Youfottolockthedoorwhenleaving. A.NoexcuseB.NosurpriseC.NomatterD.Nowonder 2.难度:中等 Thestudentstogetherwiththeheadteacher_________visittheChimeLongParadise. A.isgoingtoB.aregoingtoC.istobeD.maygoingto 3.难度:中等 “Wherehaveyoubeen?Wethoughtthatyouwerelost!”mothersaidangrily,_________toLily. A.pointingB.topointC.havingpointedD.pointed 4.难度:中等 Withtheelectricity___________,allthemachinesstopped. A.cutoffB.wascutoffC.cutdownD.wascutdown 5.难度:中等 Wehopethatwecan_________theworld________wars,killersandeverythingelsethatisbad. A.getridof;byB.beridof;byC.rid;ofD.getrid;of 6.难度:中等 Eachofthestudents,workinghardathisorherlessons,__________togotouniversity. A.hopeB.hopesC.hopingD.tohope 7.难度:中等 Thereason__________shegavefornotfinishingthehomeworkisthatshewasill. A.whyB.whatC.thatD.for 8.难度:中等 ___________shewillgoornotdoesn’tmattermuch. A.WhenB.ThatC.IfD.Whether 9.难度:中等 Imetmyoldfriend____________onmywayhomefromschool. A.bychanceB.onaidentC.bysuddenD.onoasion 10.难度:中等 I’msobusytodaythatIcan’t__________thehouse. A.helpcleaningB.helpcleanedC.helptocleanD.helpedclean 二、完型填空 11.难度:中等 阅读下面的短文,然后从每小题所给的四个选项中选出一个最佳选项,并将答题卡上的相应选项涂黑。 Mydaughter’s7thbirthdaywasApril22.AsitwasMonday,wepreferredtocelebrateit___11___,i.e.onSaturday,April20.ThiswaseasierformeasI’m___12___onSaturdays.OnFridaytheentirefamilywasbusypackingthe___13___andputtingfunnypinsonthem.IpromisedmylittleprincessthatIwouldwakeherupearlyinthemorningandgiveoutthepresentstoher___14___. Iwokeupat07:30.AfterItookabath,Iplannedtowakeherup.ButasIcameoutfromthe___15___,Irealizedthatanearthquakestruck.I___16___towakemyhusbandupandaskedhimtocarryourdaughterandranoutofourhouse.Wewere___17___ourhousemovingfromsidetosidefromoutside.Itlastedforjust3minutes,buttiles(瓦片)camedown,andsomenarrowgapsappearedonthe___18___. Nevertheless,aswehadplanned,Iwenttomydaughter’sschoolat9:00,butnoonewasthereexcepttheteacherwho___19___ustogetbacktoourhouseas___20___mightesoon.Iwasshocked,anddrovemycarhome.OnthewayhomeIheardapolicecryoutloud,“Stay___21___,notsunami,it’sonlyissue!” Arrivingatmyhouse,Iwaswonderingaboutthepresents:towhomweshould___22___?Aftersomediscussion,wedecidedtogivethemtothechildrenin___23___.Enteringthehospital,Iwasshockedtofindthousandsofpeoplebleedingandlyingoutsidetherooms.Aboycameupwitha___24___onhishead.Hestaredatmewithhisquestioningeyesasifhewantedtosay,“CouldIhaveone?”___25___Ihandedoveronepresenttohim.Ican’teverfethisshiningeyeswhenhereceivedthegift! 1.A.earlierB.laterC.betterD.quicker 2.A.busyB.freeC.sickD.slow 3.A.presentsB.bricksC.bagsD.medicine 4.A.teachersB.patientsC.classmatesD.doctors 5.A.houseB.bedroomC.hospitalD.bathroom 6.A.decidedB.promisedC.screamedD.stared 7.A.watchingB.leavingC.enteringD.striking 8.A.ceilingB.carC.windowD.wall 9.A.droveB.warnedC.taughtD.preferred 10.A.earthquakeB.tsunamiC.policeD.students 11.A.busyB.awakeC.alarmedD.calm 12.A.moveB.deliverC.driveD.pack 13.A.hospitalB.schoolC.carD.office 14.A.presentB.tileC.bandageD.question 15.A.UnwillinglyB.QuicklyC.EasilyD.Sadly 三、填空题 12.难度:困难 Howdoyouusuallybuywhatyouneed,shoppingonlineoingouttoshopinperson?WiththehelpoftheInter,shoppingis___1.___(easy)thanbefore.Wecanjustclickourmousetochoosetheitemswelike,payforthemonline,andtheshopping___2.___(finish).Itiseasyandquick.Ithelpssavemoney,too.Wecansavethousandsayearifweparethepricesofsimilaritemsbeforedeciding___3.___tobuy. However,therearealwaystrapsinshoppingonline.Ifweare___4.___(care),wemaygetintotrouble.Forexample,wemayfindthecoloroftheitemdifferentfrom___5.___inthepictureonline.Sometimes,thesizeoftheitemwereceivecanbetoobig___6.___toosmall.___7.___(avoid)suchtroubles,weshouldparesimilaritemsondifferentonlinestoresandpaymoreattentiontowhatothercustomerssay.Fromtheirments,wecanknowbetter___8.___anitem’scolor,sizeaswellas___9.___shortings.Inthiswayweincreaseourchanceofbuying___10.___moresatisfactoryitem. 四、阅读理解 13.难度:中等 What’sdelicious,healthytoeatandesinvariouscolors?Eggplant!Andno,ithasnothingtodowithchickens!Thisstrangelynamedvegetableis,however,asversatileasanegg.Itcanbesteamed,friedorbaked.Itcanbeeatenbyitselforbinedwithmeatsandothervegetables. EggplantwasfirstgrowninIndiaduringthe5thcenturyB.C.ItspopularitysoonspreadtoChinaandthenthroughoutAsia.Finally,duringtheMiddleAgesthevegetablemadeitswaytoEurope.Atthattime,eggplantwasnottheshinypurplevegetablemostpeopleknowtoday.Instead,itwaslikeawhiteegg.Duetothisegg-likeappearance,eggplantgotitsname.Initsearlydays,thevegetablewassobitterthatpeopleoftencalledita“madapple”.Thisnicknamestartedbecausepeoplebelieveditsbitternesswasbadforone’shealth.Peopleactuallythoughteggplantcouldcauseinsanity(精神错乱)andcancer. Fortunately,todaypeopleknowthateggplantdoesn’tcauseinsanityorcancer.Infact,eggplantissohealthythatitmaypreventcancer.Inaddition,thebrainandtheheartbenefitfromthissuppervegetable.Sinceitishighinfiber,eggplantcanalsoimprovedigestion. Italy,Turkey,Egypt,ChinaandJapanaretheleadinggrowersofeggplantintheworldtoday.Dependingonitslocation,eggplantmaybepurple,green,orangeoryellow-white.Anditcanbeassmallasatomatooraslargeasacucumber.Dishdiversities(多样性)rangefromsimpletoplex,withallofthembeingdelicious! Today,thousandsofpeoplearegatheringinLoomis,Calif,forthe23rdannualLoomisEggplantFestival.Themainactivityatthefestivaliseatingdeliciouseggplantdishes.Thereisplentymoretodoandsee,though.Recipecontests,artsandcrafts,performers,racesandchildren’sactivitiesall“egg-cite”festival-goers.Mostpeopleatthefestivalwouldagree—eggplantisan“egg-cellent”vegetable! 1.Whatdoestheunderlinedword“versatile”inParagraph1probablymean? A.simpleinshapeB.variousincooking C.diverseinsizeD.flexibleinprice 2.WhichofthefollowingstatementsabouteggplantsisTRUE? A.Eggplantwasoncemisunderstoodbythepeopleforitsbitterness. B.EggplantwasintroducedintoEuropeduringthe5thcenturyB.C. C.Eggplantgotitsnameforitsnutritionwhichisasrichasanegg. D.Eggplantlookslikewhatitusedtobeincolorandshape. 3.Eggplantissohealthythatitcan_____________. A.curethecancerwithcertaintyB.dogoodtodigestion C.replaceothervegetablesD.helprelieveinsanity 4.ThediversitiesofeggplantreflectinmanyaspectsEXCEPT_____________. A.colorsB.sizesC.dishesD.nutrition 5.Thepassagemainlytellsusabout__________________. A.the23rdannualLoomisEggplantFestival B.thegeneralintroductionofeggplant C.theoriginofeggplant D.thebenefitsofeggplant 14.难度:中等 Collegeisalifetimeinvestment(投资)—thegiftofacollegeeducationcanopenthedoortoaworldofopportunityforyourchildrandchild.Savings(储蓄),evennotsomanyatatime,canmakeabigdifference. Withthecostofacollegeeducationcontinuingtorise,thekeyistostartsavingearlyandregularly.Bysavingasetamountatsettimes,yourmoneycangrowasyourchilddoes.AordingtotheCollegeBoard,theaveragecostforfour-yearpubliollegeshasincreasedbynearly51%overthelast10yearsandthesecostswillalmostcertainlycontinuetorise.Savingforcollegecanhelpwiththeincreasingcostofacollegeeducationandhelpyoubewellpreparedwhenyourchildisreadyforcollege. Savingforyourchild’scollegeeducationisaninvestmentintheirfuture.Thesavingsyoumaketodaywillpayoffinincreasedearningsinthefuture.AordingtotheU.S.CensusBureau,collegegraduatesearnanaverageof$1millionmorethanhighschoolgraduatesduringtheircareers.Thevalueofyourinvestmentinacollegeeducationwillcontinuetogrowforalifetime. Setyourcollegesavinggoalsrealistically.Youmaynotbeabletosaveenoughforallfouryears’fees,butyoucouldsaveenoughtogiveyourchildtherightstart. Moreandmorefamiliesdependonstudentloans(贷款)topayforcollege.Bysavingforcollege,familieswillhavelessburdenofpayingoffloansandhelptheirchildrenleaveschoolwithoutworryingaboutpayingoffloans. 1.Fromthesecondparagraphwecanlearnthat_______________. A.theCollegeBoardincreasedpubliollegecosts B.publiollegecostswillincreaseby51%inthenexttenyears C.it’snottoolatetostartsavingwhenyourchildisreadyforcollege D.savingcanhelpdealwiththerisingcostofcollegeeducation 2.Savingsforcollegeeducation_____________. A.willincreaseinthevalueinthefutureB.makeoneearnalot C.helpcreategoodjobsD.arewiseforbusinessmentoinvest 3.WhichofthefollowingisTRUEaboutsavingforcollege? A.Youshouldsavetohelpchildrengetscholarshipsmoreeasily. B.It’sbettertoincreasethesavingsasthechildgrows. C.It’sbettertosaveearlyandregularly. D.Youshouldsetafurtherandbiggersavinggoal. 4.Whoaretheexpectedreadersofthepassage? A.Parents.B.Highschoolstudents.C.EducatorsD.Bankers. 5.Whichofthefollowingwouldbethebesttitleforthepassage? A.WhentoSaveforChildren’sCollegeCosts B.HowtoMakeaGoodInvestment C.WhyWeShouldSaveforChildren’sCollegeCosts D.HowMuchFour-YearCollegeCosts 15.难度:中等 Therearequiteafewadvantagesofwearingschooluniforms.Theideamayseemdisagreeableatfirst,butconsideringallthepositiveeffectiveingfromwearinguniformsyouwouldbemorelikelytoenjoythem. Teachersloveschooluniformsbecauseithelpsprovideanorderlylearningenvironment.Havingstudentsdressedinuniformsmayteachthemhowtopresentthemselvesinaneat(整洁的)andprofessionalmanner.Itgivesstudentstheopportunitytolearnhowtodresslikeyoungladiesandgentleman.Andtheycanfocustheirattentiononacademicsratherthanstyle. Purchasingschooluniformsiseasyandneedslesshesitation(犹豫)andconsideration.Nomatterwhattheschool’spolicyis,thereareonlyspecificessential(基本的)piecestothewardrobe(服装)thatarenecessary,soitwon’tbreakthebank.Afewwardrobeitemscanlastalongtime.Parentscouldalsoenjoyaneasymorning,asitwilltakelesstimetochooseasetofclothesfortheschoolday. Studentswearinguniformswillfeellesspressureaboutwhattowearornottowearwhentheirclassmatesaredressedsimilarly.Gettingdressedbeforeschoolbeeslessofachorewhenstudentsarelimitedintheirchoices,sothereshouldn’tbeanytroubleaboutchoosinganoutfitforthedayandgettingreadyquickly.Somestudentsmaynotlikethelackofindividuality(个性)withauniform,butsomeschooldresscodepoliciesmayofferthemtheopportunitiestoshowtheiruniquestyles. Uniformstodayarealsobeingtrendierandcanbeseeninmanyareasofpopculture.Celebritiesandfashiondesignersareusinguniformsasinspirationfornewlookswhichalsoappealtostudents. 1.Whatwouldbethebesttitleforthetext? A.Howtodressproperly. B.Thehistoryofschooluniforms. C.Theadvantagesofschooluniforms. D.Howtodealwithpressureinschool. 2.Teachersthinkthatwearingschooluniforms________________. A.isjustatraditionthatstudentsshouldfollow B.makesstudentsfeellesspressureinstudy C.helpsstudentsputmoreeffortintotheirstudies D.makesstudentslosetheirindependenceandidentity 3.Theunderlinedpart“itwon’tbreakthebank”inParagraph3probablymeans“___________”. A.aschooluniformdoesn’tcostalotofmoney B.aschooluniformshouldbeworneveryday C.parentswillhavetogotothebankmanytimes D.parentswhoworkinabankcanaffordtheuniform 4.Wecaninferfromthetextthatschooluniforms_________. A.arenotpopularwithfashiondesigners B.werenotaeptedbyparentsinthepast C.willbedesignedbystudentsthemselves D.willbemorefashionableinthefuture 5.Theauthor’sattitudetowardsstudents’wearingschooluniformsis___________. A.negativeB.supportiveC.doubtfulD.unclear 五、信息匹配 16.难度:困难 请阅读下面几种假日集训班的信息: A.You’llspendhalfofeachdaylearningdifferenttypesofdance.Theteacherswillgiveyoulotsoftipsandadviceaswellashelpyoufindyourowndancestyletoimpressyourfriends. B.Thiscourseisforthosewhoareinterestedinmakingfilms.Youandyourgroupwillbeabletochoosewhattypeoffilmtomake.You’llbeeafilmcrew(全体人员)andcreateyourownfilmreadytoshowtoeveryoneelse.What’smore,you’llhaveyourfilmonDVDtotakehomewithyou,too! C.Footballplayersatthisclubwillexperiencefunanddynamictraining,whichaimstoimprovetheirall-roundfootballskills.Itdoesn’tmatterhowgoodyouareaswewillnormallytryandputyouinagroupwithothersofasimilarlevel. D.OurLearnerDriverholidaymeansthatwhenitestohavinglessonsandtakingyourtest,youwillbewellaheadofthecrowd.You’llexperience30minutesofdrivingeachdayaswillastheory. E.Ourcoacheswillmakesureyoucoverallthesurfingbasics(基础).Beforeyouknowityou’llbegettingupandriding.Wepromiseyou’llneverfetthefeelingyougetwhenyoucatchyourfirstwave! F.Wewillshowyouhowtocreatemusicofdifferentstylesandthenrecordyourownprofessionalqualitytracks(录音)onCDstotakehomeforyourfriendsandlistento.Youdon’tevenneedtobeabletoplayaninstrumentorhaveanymusicalknowledgetogetinvolved. 请阅读下面人物信息,并为他们选择合适的项目: 1.Marylivesfarawayfromheroffice,andittakesherlongtimetogetthereeveryday.Recently,shehasbeenthinkingaboutbuyingacar,butshewantstogettrainingbeforeshebuysit. 2.Lauralovesmusicverymuch.SheoftensaysthatshecannotbeseparatedfromheriPod.Althoughshedoesn’tknowhowtoplayaninstrument,shewantstocreateherownmusic. 3.Louisisamiddleschoolstudent;helikestospendhissparetimeontheplayground.Heusedtowatchothersplayfootballbecauseheisnotverygoodatit.Hewantstoattendatrainingcoursetoimprovehisskills. 4.WangLingisacollegestudentwholikestodance.Shewantstotakepartinapartynextweek,soshewantstolearnsomenewmovestotryoutonthedancefloor. 5.Starisafreshman.HeisanEnglishMajor,buthelikesphotographyverymuch.Heandhisroommatesoftengoouttotakephotos.Theyplantogoonanoutingduringthesummerholidaytomaketheirownfilm. 六、单词拼写 17.难度:困难 根据句中所需单词的首写字母或中文提示,写出该单词的正确形式,并将答案写在答题卡相应题号后面的横线上。 1.Inordertostays_________,sheeatsverylittleeveryday. 2.Itwasreallyu________thathefelloffthetruckwithoutbeinghurt. 3.Yourbrotherisfullofh________;hehaduslaughingallthroughthemeal. 4.Acinemaisaplaceofe________. 5.Thebirthr________isthenumberofbirthsparedtothenumberofpeople. 6.ManypeoplewenttoAmericahopingtomakea_______(财富)there. 7.Themore_______(有学问的)amanis,themoremodestheusuallyis. 8.Thea______stayedup,butthekidswenttobed. 9.Manypeoplefinditdifficulttoaepther______(先进的)idea. 10.Youcanbuymany______(纪念品)ineveryplaceofinterest. 七、其他题 18.难度:困难 完成句子:(共5小题,10个空,每空1分,满分10分) 1.Whenthewar____________(爆发),hewasworkinginthenavy. 2.Ican’t____________(想出)whyshesaidthat. 3.____________heisfreewillheetoseeme. 4.____________agoodteacher,JohnmadegreatprogressinhisEnglishstudylastterm. 5.IfIhaveachoiceIwould____________choosesomethingelse. 八、书面表达 19.难度:困难 写作内容: 假如你是李华,在美国留学。你母亲今天下午要从国内来看你,但你凑巧要去做个讲座,故给你的朋友Peter留下字条请他下午三点半去机场接你母亲。因Peter未见过你母亲,请根据下表在字条中描述你母亲的特征以便他辨认。 age aroundsixty appearance fat,short,grayhair,alongface clothes awhiteblouse,browntrousers luggage ayellowsuitcase 写作要求: 1.必须使用5个句子介绍全部所给内容; 2.词数:100词左右。开头和结尾已经给出,不计入总词数。 评分标准: 句子结构的准确性和复杂度;信息内容的完整性和连贯性。 Sunday Peter, Iamverygladthatmymotherisingthisafternoonbyair. 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