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2015-2022年贵州机电职业技术学院高职单招语文/数学/英语笔试参考题库含答案解析(图片大小可自由调整)第1卷一.数学题库(共25题)1.两条平行直线3x+4y-12=0与ax+8y+11=0之间的距离为(A.)B.C.7D.23.两直线3x+y-3=0与6x+my+1=0平行,则它们之间的距离为(A.4)B.C.D.4.如图,PA、PB、DE分别与⊙O相切,若∠P=40°,则∠DOE等于(A.40)度.B.50C.70D.80210人在110分以上,40人在90~100分,12人低于90分.现在从中抽取12人了解有关情况;③运动会服务人员为参加400m决赛的6层抽样,简单随机抽样B.系统抽样,系统抽样,简单随机抽样C.分层抽样,简单随机抽样,简单随机抽样D.系统抽样,分层抽样,简单随机抽样6.已知一种材料的最佳加入量在l000g到2000g0.618量可以是()g。7.已知集合A到B的映射A中元素2在B8.双曲线x2a2-y2b2=1,(a>0,b>0)的一条渐近线方程是y=3x,坐标原点到直线AB的距离为32,其中(1)求双曲线的方程;B1是双曲线虚轴在yB作直线交双曲线于点B1M⊥B1N时,直线MN的方程.9.正方体AC1中,S,T分别是棱AA1,A1B1上的点,如果∠TSC=90°,那么∠TSB=______.10.叙述并证明勾股定理.11.若直线x=1的倾斜角为α,则α等于()A.0°B.45°C.90°D.不存在12.已知函数f(x)=x21+x2.(1)求f(2)与f(12),f(3)与f(13);(2)由(1)中求得结果,你能发现f(x)与f(1x)有什么关系?并证明你的结论;(3)求f(1)+f(2)+f(3)+…+f(2013)+f(12)+f(13)+…+f(12013)的值.13.已知为椭圆x225+y216=1M的内切圆的周长等于3π,则满足条件的点M有()个.A.0B.1C.2D.414.若向量a=(1,1,x),b=(1,2,1),c=(1,1,1),满足条件(c-a)•(2b)=-2,则x=______.15.方程4x-3×2x+2=0的根的个数是()A.0B.1C.2D.316.已知直线l的参数方程为xOy的O方向为极轴,选择相同的长度单位建立极坐标系,得曲线C的极坐标方程为ρ=2cos(θ-π4)(1)求直线l的倾斜角;(2)若直线l与曲线C交于A,B两点,求|AB|.17.已知曲线x2a+y2b=1和直线()A.B.C.D.18.已知|log12x+4i|≥5,则实数x的取值范围是______.19.某校选修乒乓球课程的学生中,高一年级有40名,高二年级有50名,现用分层抽样的方法在这90名学生中抽取一个样本,已知在高一年级的学生中抽取了8名,则在高二年级的学生中应抽取的人数为______.20.某项选拔共有四轮考核,每轮设有一个问题,能正确回答问题者进入下一轮考核,否则即被淘汰.已知某选手能正确回答第一、二、三、四轮的问题的概率分别为、、、,且各轮问题能否正确回答互不影响.(Ⅰ)求该选手进入第四轮才被淘汰的概率;(Ⅱ)求该选手至多进入第三轮考核的概率.(注:本小题结果可用分数表示)21.△OABp=t(a|a|+b|b|),t∈R,则点P线所在直线上B.线段AB中垂线上C.AB边所在直线上D.AB边的中线上平分22.设a、b∈R+且a+b=3,求证1+a+1+b≤10.23.已知曲线C1,C2的极坐标方程分别为ρcosθ=3,ρ=4cosθ(ρ≥0,0≤θ<π2),则曲线C1与C2交点的极坐标为______.的直径C作⊙O的切线A作l的垂线AD,垂足为D,则CD=______.25.写出求1+2+3+4+5+6+…+100的一个算法.可运用公式1+2+3+…+n=n(n+1)2直接计算.第一步______;第二步______;第三步输出计算的结果.二.语文题库(共20题)1.下列各句中加点的成语,使用正确一句是()A.第八届全国少数民族运动会在广州如火如荼大多数是深红色的。挂在树头,从远处看,姹紫嫣红,恰如一串串“红星”,煞是可爱。C.他临危不惧、勇斗歹徒的事迹见报后,立即满城风雨,成为热门话题,大家对此都赞不绝口。D.我们提倡韦编三绝的读书精神,更提倡学以致用,期待创新人才的大量涌现。2.下列各句中加点的词语使用,不恰当的一句是()A.新太空战略会使得美国在20年后操控全球能源市场,从而使得因碳氢燃料耗尽而陷入能源危机的全球子民们唯美国马首是瞻。B.新发于硎的中。比喻同品德高尚且有学识的人相处并受到熏陶。3.补写出下列诗文名句中的空缺部分。(任选2小题)(4分)____________________房宫赋》)(2)苟以天下之大,____________________,____________________。(苏洵《六国论》)(3)镜中衰鬓已先斑。____________________,____________________!(陆游《书愤》)4.在下面这段文字的横线上填入两个恰当的句子。要求:跟画波浪线的句子句式相同,组成排比句,符合上下文的特定语境。作家笔下优美的写景散文,好似热情而阅历丰富的导游:它会带你去攀登泰山那回环曲折的盘道;____________;___国的山山水水多么富有迷人的魅力啊!对句由“晓、迷托、望帝、烟、梦”组成,请运用这5个词语组成这一对句。出句:庄生追忆春心泪对句:________________________6.下列词语中没有错别字的一组是()自大、招致非议、五色斑斓D.敲诈、变本加厉、风餐露宿、挑肥捡瘦7.补写出下列名篇名句中的空缺部分。(只选三小题)(6分)(1)此情可待成追忆,(2)钉头磷磷,。渺渺兮予怀,望美人兮天一方。(苏轼《赤壁(3)桂棹兮兰桨,(4)吾尝跂而望矣,。(《荀子·劝(5)人生如梦,(6)。(苏轼《念奴娇》),二三其德。顾及敌人的诽谤、诅咒。]A.马克思致力于革命工作,无暇B.对马克思的攻击虽然很多,却十分无力。C.表现了马克思坦荡的胸怀和崇高的思想境界。D.表现了马克思惊人的胆略。9.下列各组词语中,没有错别字的一组是A.恣意B.陨落c.赡养D.寒暄虎视眈眈蓬荜生辉毛骨悚然好高鹜远迁徙针砭烦燥松弛暴殓天物流言蜚语蓬头垢面如火如荼10.依次填入下面一段文字横线处的语句,衔接最恰当的一组是心还将,,,,负责建立中华古籍保护网,在网上及时发布、定期更新全国普查成果。①并组织专家对全国珍贵古籍进行定级②同时汇总古籍普查成果③负责全国古籍普查登记工作④形成全国统一的中华古籍目录⑤建立中华古籍综合信息数据库A.③④①⑤②C.⑤③④①②B.③②⑤④①C.⑤④②①③11.修辞方法与其他三项完全不相同的一项是(A不知细叶谁裁出,二月春风似剪刀。B白发三千丈,缘愁似个长。)C问君能有几多愁?恰似一江春水向东流。D试问闲愁都几许?一川烟草,满城风絮,梅子黄时雨。12.根据文意,在横线上填写相关的内容。德和艺术为基石,讲究的是善,所以中国人在求真之外,还重视善的成分,如果决算和预算不一致,就会以宽容之心相待,说_____________。13.写出下列歇后语的下句。(1)黄鼠狼觅食——____________________(2)孔夫子搬家——____________________(3)电线杆上插鸡毛——____________________(4)石头蛋子腌咸菜——____________________(5)四两棉花十张弓——____________________(6)八十老翁练琵琶——____________________(7)搬起石磙砸碾盘——____________________(8)捋着胡子过河——____________________14.解释下列词语的含义。①景仰:________________________________________②激亢:________________________________________③谦逊:________________________________________④叱咤:________________________________________⑤莅临:________________________________________⑥捶胸顿足:____________________________________⑦短小精悍:____________________________________⑧屏息以待:____________________________________15.依次填入下面两句横线处的语句,与上下文衔接最恰当的一项是[]缓缓流逝的时间长河中,总有一些记忆像卵石般沉淀下来,________,________。爱,特别是母爱,对他来说,就是这样一份沉甸甸的卵石。①或神采飞扬,透着现代的气息②或庄重沉稳,带着岁月的沧桑③压迫着人们的心灵④改变着人生的轨迹A.①②③④B.①②④③C.②①③④D.②①④③16.下列词语中没有错别字的一组是A.提纲舶来品一幅对联一诺千金B.凑合主弦律旁征博引死皮赖脸C.家具炒鱿鱼雍荣华贵流芳百世D.坐镇明信片枉费心机平心而论17.下列各句中划线成语使用正确的一项是[求时髦,令人费解。这些让人看不懂的名称,只能让人贻笑大方。B、他虚心接受了同志们的批评,从此积极深入实际,避免主观盲动,工作已经开始改头换面,大有起色。C、之前,某台湾领导人曾说台湾与大陆是“国与国”关系,并说这代表“民意”,企图将自己装扮成梁上君子,真是无耻到极点。础,在一定时期内,它堪称不易之论。18.下面是张贴在某星级宾馆一楼大厅的提示语,请你补充完整,并分析(1)句妙处所在。(1)您对我们的服务要是感到不满意,请告诉我们的经理。(2)您对我们的服务要是感到满意,_________________________________________。第一句话的妙处是_____________________________________________________。19.下列各句中加点的词语使用不恰当的一句是A.教育是打开个人智慧之门的金钥匙,也是改变国家和民族命运的铺路石,更是人类文明传续的不竭动力。B.草原上,帐篷像蘑菇一样四处散落,帐篷前篝火点点,军马安闲地吃着夜草,隐隐的鼾声在大地上沉浮。C.千百年来,湘江培育着两岸的乡村和城市,湘江之水不仅流入了人们的日常生活,也荡漾在他们的梦境中。D.树立大国风范,涵养大国心态,让世界看到中国的开放、包容和自信,看到中国人民的团结、理性和智慧。20.根据上下文文意和标点,在句中横线上填写恰当的语句。思考,是____________的钥匙;思考,是穿破未知障碍的____________;思考,____________。一个人如果不思考,就不可能启迪智慧,_______________,获得成功。三.英语题库(共20题)1."Theplane_______inaminute.Pleasefastenyoursafetybeltsandremainonyourseatsuntilithaslanded,"thestewardessannouncedinasweetvoice.2.Manypeoplewritetonewspaperandmagazinestoexpresstheiropinions.Letterstotheeditormustcarrythewriter’sfullname,addressandtelephonenumber,althoughtheinformationisnotnecessaryforpublication.Thisrequirementtoprovidepersonalparticularsisaclearindicationthatwritersareheldresponsibleforwhattheysay.Whenawriterwantshisvoiceheard,heneedstoclaimownershipofhisvoice.Responsibilityisthenameofthegame.“Peopletodaypreferlivingtogethertoputtingtheirsignaturesonamarriagecertificatebecausetheyrefusetoacceptresponsibilityfortherelationship,”saidsocialworkerKenYip,“andthisiswhatiscausingalotoffamilyproblems.”Whenwesignapaper,forexample,abusinesscontractorabankdocument,thesignatureisasealofconsent,anagreementtotakethematterseriously.Mostgovernmentsandmanyorganizationswillnotprocesswrittencomplaintsiftheydonotbearthewriter’ssignature.Theabsenceofasignature,theyexplain,tellsusthatthewritercannotbetooseriousandthereforedoesnotdeserveareply.Therearepeoplewhowishtoremainvariousreasons.Multi-billionaireMr.Kingdonatesgenerouslytocharityseveraltimesayear.Hegivessimplybecausehewantstohelpbutnotforthepublicityhisdonationsmaybring,andhedoesnotwanthisgooddeedstomakenews.Inothercases,peopleinsistonanonymitybecausetheyareafraidoftheconsequencesofrevealingtheiridentity.Crimewitnessesmaybewillingtoassistthepolice,butmostareunwillingtogivetheirnameswhenreportingacrime.Nameornoname?Theanswerisverypersonalandliesinhowmuchwewanttogetinvolved.Weallhaveaname.Itisamatterifresponsibilitytouseitwhenwemakeastatement,aclaimoranaccusation.Weallwanttohonourourownname,anditisonlybystampingourexpressionofanopinionwithourownnamethatwehonourwhatwesay.小题1:Whatdoesthewritermeanbysaying“Responsibilityisthenameofthegame”?A.Writersneedtoprovidetheirpersonalinformationinthegame.B.Publicationmustbearthewriter’sfullname,addressandphonenumber.C.Writersshouldberesponsiblefortheirnames.D.Namesarerequiredtoindicatewriters’responsibilityforwhattheysay.小题2:Thesecondparagraphsuggeststhatapaperwithoutasignaturemay_______.A.helptoendarelationshipB.notgetareplyC.beacceptedallthesameD.becomeafamilyproblem小题3:Somepeopledon’twanttheirnamesknownbecausetheyare________.A.hesitanttomakeadonationB.unwillingtodrawpublicattentionC.afraidofanaccusationD.readyforinvolvement小题4:Thepassageismainlyabout_______.A.honourandwritersB.identityandsignatureC.signatureandresponsibilityD.anonymityandsignature3.ItisonlybypractisingEnglishforseveralhourseveryday_________beabletouseitfreely.A.willyouB.mayyouC.thatyouwillD.whenyoumust4.Ismellsomething____inthekitchen.CanIcallyoubackinaminute?5._____isveryimportantforusstudentstolearnEnglishwell.[]A.ItB.AsC.WhatD.There6.Itseemsthat________themareoutofworknow.A.agreatmanyB.agoodmanyofC.agreatdealofD.much7.5.Inourclass,whenthebellrangandthetaacherclosedhisbook,itwasaoreveryonetostandup.A.signalB.chanceC.markD.measure8.___putthesoupleft___theyou..in9._____inthequeueforhalfanhour,theoldmansuddenlyrealizedhehadleftthechequeinthecar.[]A.WaitingB.TowaitC.HavingwaitedD.Tohavewaited10.阅读短文,并按照题目要求用英语回答问题。Bornin1949,DianaNyadtookanearlyinterestinswimmingasasportandwasaFloridaStateHighSchoolswimmingchampion.Likemanyyoungathletes,shehadOlympicdreams,butaseriousillnesskeptherfromcompetingintheGames.Thedisappointmentdidn’tstopherfromgoingforward.Instead,shebecameinterestedinmarathonswimming.Abrilliantathlete,shewaswell-conditionedforspendinglongperiodsoftimeinthewater.Asalong-distanceswimmer,shewouldcompeteagainstherselfandtheobstaclespresentedbydistance,danger,cold,andexhaustion.FortenyearsNyaddevotedherselftobecomingoneoftheworld’sbestlong-distanceswimmers.In1970,sheswamaten-milemarathoninLakeOntario,settingthewomen’srecordforthecourse.In1972shesetanotherrecordbyswimming102.5milesfromanislandintheBahamastothecoastofFlorida.ThenshebrokeathirdrecordwhenswimmingaroundManhattanIslandin1975.NyadattemptedtoswimthedistancebetweenFloridaandCubain1978.Thoughthespanofwaterislessthan100mileswide,itisroughanddangerous.Afterbattlingthewaterfortwodays,shehadtogiveforthesakeofherownhealthandsafety.Evenso,sheimpressedtheworldwithhercourageandstrongdesiretosucceed.ForNyadherstrengthofpurposewasjustasimportantasreadingCuba.Thatishowshedefinedsuccess.Itdidnotmatterthatherswimcameupshort;shebelievedshehadtouchedtheothershore.WhenNyadendedhercareerasaswimmer,shecontinuedtotrynewthings---travellingtheworldasareporter,writingbooksandgivingpublicspeechesaboutherlife.DianaNyadworkstoinspireothers,justasshedidwhensheswamthewatersoftheworld.小题1:WhatpreventedNyadfromtakingpartintheOlympicGames?(Nomorethan5words)__________________________________________________________________________小题2:Whatdoestheunderlinedword“obstacles”mean?(1word)___________________________________________________________________________小题3:WhatachievementdidNyadmakein1970?(Nomorethan10words.)________________________________________________________________________________小题4:WhydidNyadbelievethatshehadtouchedtheothershore?(Nomorethan10words)___________________________________________________________________________小题5:PleaseexplainhowyouareinspiredbyNyad.(Nomorethan20words)_______________________________________________________________________________11.Everytimethefathercomesintohisroom,theboypretends_____earnestly.A.readingB.tobereadingC.tobereadD.tohaveread12.Lastweek,onlytwopeoplecametolookatthehouse,____wantedtobuyit.13.Eventhoughshe_____tohospitalwithoutdelay,shewouldnothavebeensaved.A.hadrushedB.wererushedC.hadbeenrushedD.rushed14.—Pardon?Whowillcome?—_____.15.What_____greatfunitistogoto_____2010WorldExpoinShanghai.16.Thenewgroupofstudentsisbetter-behavedthantheothergroupwhostayedhere_____.17.◆200deadasBrazilianplanecrashesinSaoPauloUpto200peopleweredeadafterapassengerplanewith176peopleaboardslidofftherunwayonlandingandhitafuelstoragetankatSaoPaulo'sCongonhasairportonTuesday.BrazilianairlineTAMsaidthat170passengersand6crewwereaboardtheAirbusA320flyingfromPortoAlegreinsouthernBraziltoSaoPaulowhenitlostcontrolonlandingandslidoffthewetrunway.BraziliannewsagencyFolhareportedupto200peopleweredead,includingsomevictimsontheground.◆_______________________________________TwopeoplewerekilledSaturdayintwoseparateplanecrashesintheUnitedStates,mediareportssaid.InDayton,Ohio,aplanecrashedonarunwayoftheDaytonInternationalAirportwhileperformingduringtheVectrenDaytonAirShow.Thepilot,JimLeRoy,wastakentoMiamiValleyHospitalandwasannounceddead.Theairshowwascanceled.Alsoonthesameday,twosingle-enginewarplanesatanexperimentalairshowcollided(相撞)inWisconsinwhilelanding,killingoneofthepilotsandinjuringtheother.◆All114aboardKenyaplanekilledAKenyaAirwaysplanethatcrashedaftertakeoffinCameroonwith114peopleonboardislargelysubmerged(淹没)inaswamp(沼泽地)andthereisnochanceofsurvivors,Cameroon'scivilprotectionservicesaidonMondayTheBoeing737-800hadtakenofffromDoualaanditswreckag(残骸)wasfoundjust12milesfromthetown.Theplanefellheadfirst.Butthecauseofthecrashremainedunclear.AmongthepassengerswereAssociatedPressreporterAnthonyMitchellaandanexecutivefromtheSouthAfricancellphonegiantMTN.FiveChinesepassengerswerealsokilledinthecrash.小题1:TheBrazilianplanecrashcausedextradeathsmainlybecause______A.itskiddedoffthewetrunway.B.therunway.wasveryshortC.ithitafuelstoragetankD.itspilotwasinexperienced小题2:ThepropertitleforNews2wouldbe_________.A.TwopilotskilledinplanecrashesinUSB.ThetragediesoftheairshowC.Whoistoblamefortheplanecrashes?D.Biglossescanresultfromsmallthings小题3:WhichofthefollowingstatementsisNOTTRUEasfortheKenyaplanecrash?A.TheplanecrashedaftertheplanetookcauseofthecrashwasunderexaminationC.114passengersonboardwerekilledincludinganAfricanD.Theplacewheretheplanecrashedledtomanymoredeaths小题4:TheBrazilianplanecrashkilledabout_____peopleinallontheground.A.170B.30C.24D.6小题5:Itcanbeinferredfromthethreenewsthat_________A.whentheAirbusA320landed,itwaslikelytoberainingheavilyB.duringtheVectrenDaytonAirShow,thepilot,JimLeRoydiedonthesceneC.TheplacewheretheBoeing737-800crashedwasjust12milesfromtheChinesepassengerswerevictimsoftheKenyaplanecrash18.Thequestionunderdiscussionhereis_____ofthe"whitepollution".19.Treasurehuntshaveexcitedpeople’simaginationforhundredsofyearsbothinreallifeandinbookssuchasRobertLouisStevenson’sTreasureIs-land.KitWilliams,amodernwriter,hadtheideaofcombiningtherealexcitementofatreasurehuntwithcluesfoundinabookwhenhewroteachildren’sstory,Masquerade,in1979.Thebookwasaboutahare,andamonthbeforeitcameoutWilliamsburiedagoldhareinaparkinBedfordshire.Thebookcontainedalargenumberofcluestohelpreadersfindthehare,butWilliamsputinalotof“redherrings”,orfalseclues,tomisleadthem.KenRoberts,themanwhofoundthehare,hadbeenlookingforitfornearlytwoyears.Althoughhehadbeensearchinginthewrongareamostofthetime,hefounditbylogic,notbyluck.Hissuccesscamefromthefactthathehadgaine4danimportantclueatthestart.Hehadrealizedthatthewords:“OneofSixtoEight”underthefirstpictureinthebookconnectedthehareinsomewaytoKatherineofAragon,thefirstofHenryVIII’ssixwives.Evenhere,however,Williamshadsucceededinmisleadinghim.KenknewthatKatherineofAragonhaddiedatKimboltoninCambridgeshirein1536andthoughtthatWilliamshadburiedtheharethere.Hehadbeendiggingthereforoverayearbeforeanewideaoccurredtohim.HefoundoutthatKitWilliamshadspenthischildhoodnearAmpthill,inBedfordshire,andthoughtthathemusthaveburiedthehareinaplaceheknewwell,buthestillcouldnotseetheconnectionwithKatherineofAragon,untilonedayhecameacrosstwostonecrossesinAmpthillParkandlearntthattheyhadbeenbuiltinherhonorin1773.Eventhenhissearchhadnotcometoanend.ItwasonlyafterhehadspentseveralnightsdiggingaroundthecrossthathedecidedtowritetoKitWilliamstofindoutifhewaswastinghistimethere.Williamsencouragedhimtocontinue,andonFebruary24th1982,hefoundthetreasure.Itwasworth3000inthebeginning,buttheexcitementithadcausedsinceitsburialmadeitmuchmorevaluable.小题1:WhichofthefollowingdescribesRoberts’logicinsearchingforthehare?A.HenryVIII’ssixwivesB.Katherine’sburialplaceatKimboltonC.Williams’childhoodinAmpthillD.KatherineofArgon小题2:Whatisthesubjectdiscussedinthetext?A.Anexcitinghistoricalmoderntreasureattractionofimportanceoflogicalthinking.20.Idon'tthinkhecanbuysparepartsforthiscar,______?A.can'theB.canbeC.amnotI第1卷参考答案一.数学题库1.答案:D2.答案:根据题意知a=2b,c=3又∵a2=b2+c2∴a2=4b2=1∴x24+y2=1故为:∴x24+y2=1.3.答案:D4.答案:C5.答案:①是从较多的一个总体中抽取样本,且总体之间没有差异,故用系统抽样,②是从不同分数的总体中抽取样本,总体之间的差异比较大,故用分层抽样,③是六名运动员选跑道,用简单随机抽样,故选D.6.答案:1618或13827.答案:∵x=2,∴y=2x+1则y=2×2+1=5,那么集合A中元素2在B中的象是5故选B.AB:xa-yb=1∴ba=3aba2+b2=32,∴a=3b=3,∴双P(x0,x2+6kx-18=0,∴x1+x2=6kk2-3x2)+9∵B1M=(x1,y1-3)y1+y2=k(x1+x2)-6=18k2-3x1x2=18k2-3B1N=(x2,y1y2=k2(x1x2)-3k(x1+y2-3)∵B1M•B1N=0∴x1x2+y1y2-3(y1+y2)+9=018k2-3+9-54k2-3+9=0k2=5,即k=±5∴lMN:y=±5x-3.9.答案:由题意,BC⊥平面A1B,∵S,T分别是棱AA1,A1B1上的点,∴BC⊥ST∵∠TSC=90°,∴ST⊥SC∵BC∩SC=C∴ST⊥平面SBC∴ST⊥SB∴∠TSB=90°,故为:90°10.答案:证明:如图左边的正方形是由1个边长为a的正方形和1个边长为b的正方形以及4个直角边分别为a、b,斜边为c的直角三角形拼成的.右边的正方形是由1个边长为c的正方形和4个直角边分别为c所以可以列出等式直角三角形的两直角边的平方和等于斜边的平方这一特性叫做勾股定理或勾股弦定理,又称毕达哥拉斯定理或毕氏定理证明:作两个全等的直角三角形,设它们的两条直角边长分别为斜边长为c三点在一条直线上.过点Q作QP∥BC,交AC于点P.过点B作BM⊥PQ,垂足为M;再过点F作FN⊥PQ,垂足为N.∵∠BCA=90°,QP∥BC,∴∠MPC=90°,∵BM⊥PQ,∴∠BMP=90°,∴BCPM是一个矩形,即∠MBC=90°.∵∠QBM+∠MBA=∠QBA=90°,∠ABC+∠MBA=∠MBC=90°,∴∠QBM=∠ABC,又a2+b2=c211.答案:直线x=1与x轴垂直,故直线的倾斜角是90°,故选C.分f(3)=910,f(13)=110…2分(2)f(x)+f(1x)=1…5分证:f(x)+f(1x)=x21+x2+(1x)21+(1x)2=x21+x2+11+x2=1…8分(3)f(1)+f(2)+f(2013)+f(12013)]=12+2012=40252…12分13.答案:设△MF1F2的内切圆的内切圆的半径等于r,则由题意可得2πr=3π,∴r=32.由椭圆的定义可得△MF1F2的面积等于122cyM=12,∴yM=4,故M是椭圆的短轴顶点,故满足条件的点M有2个,故选C.MF1的面积等于12(MF1+MF2+2c2.15.答案:Cx=tcos60°y=22+tsin60°,根据直线参数方程的意义,这条经的直角坐标方程为y=3x+22,ρ=2cos(θ-π4)的直角坐标方程为(x-22)2+(y-22)2=1,所以圆心(22,22)到直线l的距离d=64,∴|AB|=102.17.答案:A选项中,直线的斜率大于0,故系数a,b的符号相反,此时曲线应是双曲线,故不对;B选项中直线的斜率小于选项中,直线斜率为正,故系数a,b的符号相反,且a正,b负,此时曲线应是焦点在x轴上的双曲线,图形符合结论,可选;D选项中不正确,由C选项的判断可知D不正确.故选D18.答案:由题意,得(log12x)2+42≥5?|log12x|≥3?0<x≤18或x的取值范围是0<x≤18或x≥8.故为:0<x≤18或x≥8.19.答案:∵高一年级有40名学生,在高一年级的学生中抽取了8名,∴每个个体被抽到的概率是840=15∵高二年级有50名学生,∴要抽取50×15=10名学生,故为:10.21.答案:∵△OAB中,OA=a,OB=b,OP=p,p=t(a|a|+b|b|),t∈R,∵a|a|和b|b|是△OAB中边OA、OB上的单位向量,∴(a|a|+b|b|)在∠AOB平分线线上,∴t(a|a|+b|b|)在∠AOB平分线线上,∴则点P一定在∠AOB平分线线上,故选A.∵(1+a+1+b)2=2+a+b+2(1+a)?(1+b)≤5+(1+a+1+b)=10∴1+a+1+b≤10且a+b=3,∴欲证1+a+1+b≤10只需证(1+a+1+b)2≤10即证2+a+b+2(1+a)?(1+b)≤10即证2(1+a)?(1+b)≤5只需证4(1+a)?(1+b)≤25只需证4(1+a)?(1+b)≤25即证4(1+a+b+ab)≤25只需证4ab≤9即证ab≤94∵ab≤(a+b2)2=(32)2=94成立∴1+a+1+b≤10成立23.答案:我们通过联立解方程组ρcosθ=3ρ=4cosθ(ρ≥0,0≤θ<π2)解得ρ=23θ=π6,即两曲线的交点为(23,π6).故填:(23,π6).24.答案:如图,连接OC,由题意DC是切线可得出OC⊥DC,再过过A作AE⊥OC于E,故有四边形AECD是矩形,可得AE=CD又⊙O的直径AB=5,C为圆周上一点,BC=4,∴AC=3故S△AOC=12S△ABC=12×12×4×3=3又12×52×AE=3解得AE=125所以CD=12525.答案:由条件知构成等差数列,从而前n项和公式求得其值,求1+2+3+4+5+6+…+100,故先取n=100,再代入计算S=n(n+1)2.故为:取n=100;计算S=n(n+1)2.二.语文题库1.答案:D形容各种颜色的花卉艳丽好看,而句中只有“深红色”。“满城风雨”形容事情传遍各处,到处都断。编连竹简的皮绳断了三次。比喻读书勤奋。2.答案:C解析:A,“从而”是连词,表示上文是原因、方法等,下文是结果、目的等。B,启用,开始使用,多用于事物。起用,重新任用已退职或免职官员;提拔使用。C,始作俑者:俑,古代殉葬用的木制不瘟不火:指表演既不沉闷也不过火,对角色的把握恰如其分。褒义词。“瘟”指戏曲表演沉闷乏味。3.答案:⑴后人哀之而不鉴之亡之故事是又在六国下矣解析:无亦使后人而复哀后人也⑵而从六国破⑶出师一表真名世千载谁堪伯仲间4.答案:它会领你去欣赏黄山那气象万千的云海,它会引你去游览桂林那清澈见底的漓江(或:它会送你去观看长江那一泻千里的急流)解析:注重写景的要求,可写黄山、长城、长江、庐山等。5.答案:对句:望帝迷托晓梦烟6.答案:C解析:A、意—臆,义—仪;B、抱—报,轮—伦;C、捡—拣。(2)多于在庾之粟粒(6)士也罔极(3)击空明兮溯流光(4)不如登高之博见也解析:略(5)一尊还酹江月8.答案:B9.答案:B项“好高鹜远”应是“好高骛远”。10.答案:4.B解析:考查语言的连贯。今年高考,许多省市将语言的连贯放在了第一卷中考查,以便在语言运用(主观题部分)腾出考查新增考点“语言的准确、鲜明、生动”的题目来。11.答案:B(意思符合即可)难尽(进)须)过度(过渡)14.答案:①景仰:佩服尊敬;仰慕。②激亢:激动兴奋。③谦逊:谦虚恭谨。④叱咤:发怒极度悲伤的样子。⑦短小精悍:形容人身材矮小而精明强于。也形容文章、戏剧等篇幅不长而有力。⑧屏息以待:屏住呼吸来等待。形容非常急迫的期待。15.答案:C16.答案:D项中的“一幅对联”的“幅”应为“副”,“副”用于成套的东西;B项中的“主弦律”的项中的“雍荣华贵”的“荣”应为“容”。17.答案:D18.答案:请告诉你的朋友;第一句话亲切友善,并不只是生硬地说,对我们的服务不满意,请到经19.答案:C与世沉浮。涵养:修养,很有涵养;滋润养育用造林来涵养水源。20.答案:打开智慧大门利箭是通向成功彼岸的桥梁求索真知三.英语题库1.答案:D2.答案:小题1:D小题2:B小题3:B小题4:C解析:小题1:推理判断。根据第一段中的…isaclearindicationthatwritersareheldresponsibleforwhattheysay可判断D正确的。小题2:推理判断。第二段后半部分提到很多政府和组织不受理没有签名的投诉,并解释说上诉人不太严肃。小题3:推理判断。根据第三段是提到慈善匿名捐款的事例可知他们不想暴露在广众之下。小题4:主旨大意。根据第一段话中的内容可知签名意味着为自己的话负责,又根据第二段和第四段的内容可以判断本文的中心话题是:签名与责任。3.答案:C解析:考查强调句型。强调的是方式状语,不被强调的部分应用that4.答案:A5.答案:A6.答案:B7.答案:A解析:signal信号;chance机会;mark记号;measure合上书”这件事,而“它”正是大家要起立的“信号”。措施。句中的it代替“铃响时教师8.答案:B解析:这句话意思是:不要把剩余的汤放到冰柜里。9.答案:C10.答案:小题1:Aseriousillness(did).小题2:Difficulties/Problems/Troubles/Challenges.小题3:Sheswamaten-milemarathonandsetwomen’srecord.Or:Sheswamaten-milemarathon,settingthewomen’srecord.Or:Shesetthewomen’srecordforaten-milemarathonswimming.小题4:Becauseshehadtriedherbest(tofulfillthetask).Or:HerstrengthofpurposewasasimportantasreachingCuba.小题5:Iamencouragedbyherdeterminationandstrongwill.Or:Iaminspiredbyhercourageandstrongdesiretosucceed.Or:FromherIlearnedth

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