2015-2022年北京信息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

2015-2022年北京信息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)AB为直径的⊙O交BC于点E作⊙O的切线交AC于点D，交AB的延长线于点P．问：PD与AC是否互相垂直？请说明理由．2.根据下面的要求，求满足1+2+3+…+n＞500的最小的自然数n．（1）画出执行该问题的程序框图；（2）以下是解决该问题的一个程序，但有几处错误，请找出错误并予以更正．n=n+1WENDPRINTi=1S=1n=0DOS＜=500S=S+ii=i+1n+1END．3.与向量A．不存在=(2，-1，2)共线且满足方程=-18的向量为（）B．-24.已知曲线C上的动点P（x，y）满足到点F（0，1）的距离比到直线l：y=-2的距离小1．（Ⅰ）求曲线C的方程；（Ⅱ）动点E在直线l上，过点E分别作曲线C的切线EA，EB，切点为A、B．（ⅰ）求证：直线AB恒过一定点，并求出该定点的坐标；（ⅱ）在直线l上是否存在一点E，使得△ABM为等边三角形（M点也在直线l上）？若存在，求出点E坐标，若不存在，请说明理由．5.已知直线l1：y=kx+（k＜0=被圆x2+y2=4截得的弦长为，则l1与直线l2：y=（2+）x的夹角的大小是（A．30°）B．45°C．60°D．75°6.经过两点）的直线倾斜角为______．7.定义xn+1yn+1=1011xnyn为向量OPn=(xn，yn)到向量OPn+1=(xn+1，yn+1)的一个矩阵变换，其中O是坐标原点，n∈N*．已知OP2011的坐标为______．8.已知直线l过点=(2，1，1)，平面α过直线l与点则平面α的法向量不可能是（），-1，），-1，-）10.Rt△ABC的直角边AB在平面α内，顶点C在平面α外，则直角边BC、斜边AC在平面α上的射影与直角边AB组成的图形是（A．线段或锐角三角形）B．线段与直角三角形C．线段或钝角三角形D．线段、锐角三角形、直角三角形或钝角三角形11.已知直线l2：2（k-3）x-2y+3=0，平行，则k的值是______．12.用数学归纳法证明：1n+1+1n+2+1n+3+…+1n+n＞1124（n∈N，n≥1）13.若E，F，G，H分别为空间四边形ABCD四边AB，BC，CD，DA的中点，证明：四边形EFGH是平行四边形．14.从甲、乙两人手工制作的圆形产品中，各自随机抽取6甲：9.00，9.20，9.00，8.50，9.10，9.20乙：8.90，9.60，9.50，8.54，8.60，8.90据以上数据估计两人的技术稳定性，结论是（A．甲优于乙）B．乙优于甲C．两人没区别D．无法判断15.椭圆的短轴长是2，一个焦点是(3，0)，则椭圆的标准方程是______．16.执行如图所示的程序框图，输出的M的值为（A．17）B．53C．161D．48517.一动圆与两圆x2+y2=1和x2+y2-8x+12=0曲线的一支D．抛物线18.计算：x10÷x5=______．19.已知向量a、b的夹角为60°，且|a|=2，|b|=1，则|a+2b|=______；向量a与向量a+2b的夹角的大小为______．20.已知空间四边形分别是表示向量MN为（）A．12a+12b+12cB．12a-12b+12cC．-12a+12b+12cD．-12a+12b-12c21.有一农场种植一种水稻在同一块稻田中连续8450430460440450440470460；则其方差为（A．120）B．80C．15D．15022.不等式log32x-log3x2-3＞0的解集为（，27）））∪（27，+∞））∪（27，+∞）23.如图，已知PA为⊙O的切线，PBC为⊙O的割线，PA=6OC=5，那么弦BC的弦心距OM=（），PB=BC，⊙O的半径A．4B．3C．5D．624.设随机事件A、B，P(A)=35，P(B|A)=12，则P（AB）=______．25.在某路段检测点对200辆汽车的车速进行检测，检测结果表示为如图所示的频率分布直方图，则车速不小于90km/h二.语文题库(共20题)1.解释下列词语的含义。①惺忪：__________________________________________②见机：__________________________________________③呻吟：__________________________________________④怜悯：__________________________________________⑤会心：__________________________________________⑥生杀予夺：______________________________________⑦横七竖八：______________________________________⑧三差二错：______________________________________分）⑴“周任有言曰：论，⑵细草微风岸，危樯独夜舟。⑶，，。至今思项羽，拉开帷幕，一时间，觥筹交错，笑语喧哗，欢乐的气氛弥漫了整个宴会大厅。B．如果一般读者不认为我的这个小册子言不及义，编辑出版工作者又觉得它有可鉴之处，那么我就心满意足了。C．眼下在某些地区，“走穴”正成为一些学者乐此不疲的事情，因为这既能提高知名度，又可带来不菲的经济收入。D．日出而作，日入而息，他们就这样日复一日、年复一年地劳作生活在这片广袤的土地上，真有点令人匪夷所思。4.写出下面歇后语的后半部分。例：鸡啄蚂蚁——正合适（食）（1）张果老的驴——______________（2）和尚分家——______________（3）和尚坐岩洞——______________（4）卖布不带尺——______________（5）卖虾米不拿秤——______________（6）纸做的栏杆——______________支票上盖上‘资金不足’的戳子后便退了回来。但是我们不相信正义的银行已经破产”的含意。_________________________________________________6.名篇名句默写(共7小题，任选5题，5分)（1）______________，池鱼思故渊。（2）______________，秋水共长天一色。（3）______________，则知明而行无过矣。（4）______________，而智勇多困于所溺。（5）寄蜉蝣于天地，__________________。（6）出师未捷身先死，__________________。（7）庄生晓梦迷蝴蝶，__________________。7.下列句子中加粗的词语的色彩义使用正确的一项是[谆谆教诲，大家都很感动。]A．老师这几年对同学们耳提面命，B．在今天举行的决赛中，我国选手有实力染指金牌的项目是女子100米蝶泳和女子马拉松比赛。C．这次世界杯足球赛，各个强队厉兵秣马、觊觎桂冠。D．李白与杜甫分别是浪漫主义和现实主义的杰出代表，他们的作品风格迥异，真有天壤之别。8.依次填入下列横线处的词语，最恰当的一组是①我掉首东顾，只见云雾弥漫，山峦隐现，绚烂的彩霞竟然已经渺无②故乡的小溪永远在我的心中静静流淌，轻轻私语，③中韩围棋再度交锋，韩国队实力不可小觑，中国队的水平！我精神的抚慰。高超，行家估计中国队胜率较大。A．踪迹给予越发B．踪迹给以更加C．踪影给予更加D．踪影给以越发9.下列各项中，对句子成分的分析有误的一项是[A．橱窗里摆着外国友人送的很精致的两个银盘。]此句的主语是“橱窗里”，定语是“外国友人送的”、“很精致的”、“两个”。B．树荫下那个正在看书的中年男子曾在城里学校当过一年教员。此句的主语是“中年男子”，补语是“一年”。C．他经常用探索的目光在那家书店里看有什么书可买。此句的状语是“经常”、“用探索的目光”、“在那家书店里”，宾语是“什么书”。D．在人代会上，人大代表一致认为，政府应加大对农村教育的投入。此句的谓语是“认为”，宾语是“政府应加大对农村教育的投入”。10.选出判断有错误的一项是（）A．中国的新诗是指1919年“五·四”时期创始和发展起来的体诗派后形成的第二个诗派是“新月诗派”，代表人物是闻一多和徐志摩。C．闻一多是现代著名诗自传性质的抒情诗，全诗不断使用排比和反复的修辞手法，使得作者的感情如山洪暴发，催人奋进。11.“纠结”一词在《现代汉语词典》中解释为“互相缠绕”，但是最近在网络中被频频翻新，出现不少新的义项。试结合语境用一两个合适的词语解释下列各句中的“纠结”。（1）朋友请他去参加生日宴会让他很纠结，去吧，既花时间又花钱；不去吧，又怕影响友谊。_________________________________________________（2）由于不理解句子中几个关键词语的意思，她对这个句子要表达的意思感到很纠结。_________________________________________________（3）先前悠闲惯了，这几天既要上班，又要照顾上学的孩子，伺候生病的丈夫，她的生活一时陷入纠结之中。__________________________________________________________________________________________________12.1将下列词语依次填入横线处，最恰当的一组是英国《卫报》的一篇评论曾这样写道：“19世纪，英国教会世界如何美国教会世界如何；如果中国要21世纪，它必须教会世界如何（）；20世纪，浪费领导D．出产消费领导13.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．⑤④②①③14.给下面这则材料拟一个简明的标题。却与祖国的环保事业息息相关。标题：______________________________________________（不超过12个字）分）一心、积极应对，而不是畏惧退缩、怨天尤人。我们不能选择择，但我们能够选16.请在保留主要信息的基础上，将下面一则手机短信压缩到15字以内。可以给我打电话。___________________________________________________________________________17.下面有关《水浒传》的歇后语，不正确的一项是[B．林冲看守草料场——英雄有用武之地C．黑旋风劈宋公明——错看（砍）了人D．李逵升堂办案——乱打一通]A．卢俊义上梁山——不请自来18.对下列各句句意关系的理解，恰当的一项是[①清风徐来，水波不兴]②盖将自其变者而观之，则天地曾不能以一瞬③逝者如斯，而未尝往也④纵一苇之所如，凌万顷之茫然A．①与④相同，②与③不同B．①与④不同，②与③相同C．①与④不同，②与③不同D．①与④相同，②与③相同19.将下列选项中的词语依次填入各句横线处，最恰当的一组是①为了纪念世界反法西斯战争胜利60周年，俄罗斯邀请了世界50多个国家和国际组织_____的人物参加庆典活动。②在改革开放的新形势下，我们仍然要从实际情况出发，从中探索出固有的而不是_____的规律。③放学时间还没到，集体活动还没结束，你怎么能_____离开学校呢?A．重要臆造径自B．重要编造径自C．要害编造径直D．要害臆造径直分）（1）莫春者，春服既成，冠者五六人，童子六七人，（2）实迷途其未远，，，咏而（3）及其所之既倦，（4）其称文小而其指极大，（5）黄鹤楼中吹玉笛，三.英语题库(共20题)1._______inafamousuniversityiswhatmoststudentswishfor.[]A.ToeducateB.EducatedC.BeingeducatedD.Educating2.ThebesttimestovisitShangri-la______springandautumnbecausethetemperatureis_____itsmildest.A.is:inB.are;inC.is;atD.are;at3.—I’mthinkingoflosingweightthesedays.out—Oh,you_______beofyourmind.You’re50kilogramsatthemost!A．willB．shouldC．mayD．must4.It'sapitythatyoumissed_____thechancetogoabroadforfurthereducation.A.beinggivenB.tobegivenC.givingD.togive5.Inordertobeautifyourcity,______.6.Thetemple_______onthetopofthemountain.A.issituatedB.situatesC.hassituatedD.issituating7.●●●USDefenceSecretaryDonaldRumsfeldislikelytovisitChinaatan“appropriate”timethisyear,aseniorChinesemilitaryofficialsaidonMonday.ColonelTuQiming,directoroftheAmericanandOceanianAffairsBureauoftheForeignAffairsOfficeattheNationalDefenceMinistry,madetheremarkduringSino-USdefencetalksthisweek.Thisisthefirstever“specialdefencepolicydialogue”betweenthetwodefenceministries,accordingtotheChinesemilitary.●●●FRANCESAgricultureMinistryhasconfirmed(证实)thefirstcaseofmadcowdiseasedetectedinagoatlastFriday.Thegoatkilledin2002testedpositiveformadcowdisease.Itisthefirstcaseintheworldofthefataldiseasebeingfoundinananimalotherthanabovine.Thehumanformofmadcowdiseasecausesbrain-wasting,personalitychange,lossofbodyfunction,andendsindeath.TheEuropeanCommissionhasnotadvisedanychangeinfarmingandconsuminggoats,saidtheFrenchMinistryinastatementpublishedlastFriday.●●●MOBILEphonesaleshitanewrecordin2004,withsome684millionunitssoldaroundtheworld,theUSresearchinstituteStrategyAnalyticssaidonThursday.Thenumberrepresentsanincreaseof32percentover2003,when571millionunitsweresold.StrategyAnalyticspredictsamoremodestriseof8percentforthisyear,to735million.FinnishcellphoneproviderNokiastayedoutinfrontin2004,withsalesof207.6millionunits,givingitamarketshareof30.4percent.MotorolamovedtoNo2,justaheadoftheSouthKoreancompanySamsung.●●●SIXmalepenguins(雄企鹅)ataGermanzooareprovingstubbornlyresistanttofemalesbroughtinfromSwedentomakethemintobreeding(繁殖).Ofthetenmalepenguinsatthezoo,sixhaveformedinto"homosexual"couplesandhaveshownnointerestinthefemales,makingbreedinganimpossibility.SothezooimportedthefourfemalepenguinsfromSwedenlastmonth,fullofhopethatthenewarrivalscould“turn”themales.Butsofar,theboysareremainingstrictlywiththeboys.小题1:Howmanycountriesarementionedinthepiecesof小题2:Fromthefourthpieceofnewsweknowthat．A．thescientistshaven’tsucceededindoingtheirexperimentB．thescientistshavesuccessfullygotsixfemalepenguinsintobreedingC．theSwedengirlsmadetheboysshowinterestinthemD．Germanboysdon’tlikeSwedenboys小题3:Whichofthefollowingarethesuitableheadlinesforthepiecesofnews?A．a.USDefenceSecretaryVisitLikelyB．a.USDefenceSecretaryVisitLikelyb.FranceConfirms'MadGoat"Caseb.FranceConfirms'MadGoat"Casec.NokiaStaysonTopc.MobilePhoneSalesd.MalePenguinsandFemalePenguinsd.BirdsofaFeatherC．a.DefencePolicySino-USTalksb.MadGoatDiseaseGoatCaseb.Madc.MobilePhoneSalesReducedc.Motorola'sSalesd.ImportingFemalePenguinsd.BoysandGirls8.Ifweareaskedexactlywhatweweredoingayearago,wemighthavetosaythatwecouldnotremember.Butifwehadkeptabookandwritteninitanaccount(陈述)ofwhatwedideachday,weshouldbeabletogiveananswertothequestion.Itisthesameinhistory.Manythingshavebeenforgottenbecausewedonothaveanywrittenaccountofthem.Sometimesmendidkeeparecordoftheimportanthappeningsintheircountry,butoftenitwasdestroyedbyfireorinawar.Sometimestherewasneveranywrittenrecordatallbecausethepeopleofthattimeandplacedidnotknowhowtowrite.Forexample,weknowagreatdealaboutthepeoplewholivedinchina4,000yearsago,becausetheycouldwriteandleavewrittenrecordsforwhosewholivedafterthem.Butweknowalmostnothingaboutthepeoplewholivedeven200yearsagoincentralAfrica,becausetheyhadnotlearnedgowrite.Sometimes,ofcourse,evenifthepeoplecannotwrite,theymayknowsomethingofthepast.Theyhaveheardaboutitfromolderpeople,andoftensongsanddancesandstorieshavebeenmadeaboutthemostimportanthappenings,andthosehavebeensungandactedandtoldformanygenerations,formostpeopleareproudtotellwhattheirfathersdidinthepast.Thiswemaycall‘rememberedhistory’.Someofithasnowbeenwrittenhistory,becausewordsaremuchmoreeasilychangedwhenusedagainandagaininspeechthanwhencopiedinwriting.Butwheretherearenowrittenrecords,suchspokenstoriesareoftenveryhelpful.小题1:WhichofthefollowingideasisNOTtalkedaboutinthepassageabove?A．“Rememberedhistory”islessreliablethanwrittenhistory.B．Writtenrecordsofthepastplayedamostimportantinourlearningofthehumanhistory.C．AwrittenaccountofourdailyactivitieshelpsustorememberwhatwehavedoneD．Wheretherearenowrittenrecords,thereisnohistory.小题2:Rememberedhistory”refersto.A．historybasedonaperson’simaginationB．storiesofimportanthappeningspasseddownfrommouthtowrittendowninwehavelearnedandrememberedinhistorylessons小题3:“Rememberedhistory”isregardedasvaluableonlywheniswrittendownB．thereisnowrittenaccountC．isprovesdownD．peopleareinterestedinit小题4:Itcanbeinferredfromthepassagethatwecouldhavelearnedmuchmoreaboutourpastthanwedonowifourancestorshad.A．keptawrittenrecordofeverypastfoughtagainstoneanotherinwarsC．toldexactstoriesofthemostimportanthappeningsD．producedandtaughtmoresongsanddances9.Inmanyways,oursocietydoesn’tsimplyprepareforthekindsoflivesthattheelderlymustlead.Wehavemademedicaladvancesthatallowpeopletolivelongerthaneverbefore,butwedonotseemtoknowwhattodowiththemafterwehavesavedtheirlives.Toolittleallowance(津贴)ismadeforthepersonwhoisnolongerearningaliving,whocannotwalklongdistancesordriveacar,orwhomayhavephysicalormentaldisabilitiesthatkeephimfromcommunicatingwithothers.Theinstitutional(慈善机构的)carewegiveourolderpeopleisagoodreflectionoftheoverallattitudeofoursocietytowardtheaged.Inthepastfewyears,nursinghomeshavereceivedwideattentionasboring,meaninglessplaceswhereoldpeopleoftenhavelittleelsetodobutwaitfortheendoftheirlives.Elderlywardsinmentalhospitalsareevenworse.Oneofthemostshockingthingsabortnursinghomeshasbeentheunwillingnessofpeopleontheoutsidetoshowrealconcernforwhathappensintheseinstitutions.Evenpeoplewhoareentrusting(委托)aparenttothecareofahomerarelyaskaboutthenurse-parentratio(比率),aboutthekindsofcreativefacilitiesorphysicaltreatmentequipmentavailable,oraboutthefrequencyofdoctors’visits.Andthegovernmenthasprovidedfederalmoneywithoutenforcinghighstandardsofcare.Infactfederalstandardswereloweredin1974.Therefore,insomesenseourconcernfortheagedseemstobemovingbackwards,notforwards.Thispictureisinstrikingcontrasttothetreatmentofrespectablepatriarchs(男长者)andmatriarchs(女长者)inmanysocieties.1.Whatwouldbethemostsuitabletitleforthispassage?A.FailureofCarefortheElderlyC.InstitutionalCareB.TheElderlyD.ANationalShame2.Wecanconcludefromthispassagethatthewriterfeels____.A.nursinghomesshouldbegotridofB.acountrythatcanhelppeoplelivelongershouldalsobeabletocareforthembetterC.peoplehavenothankstowardtheirparentsD.oursociety’sinstitutionsneedtobereformed3.Thewriterbelievesthatpeoplewhoplaceaparentinanursinghomeshould____.A.demandhigherfederalstandardsB.considertheexamplesetinothercountriesC.beashamedofnotkeepingtheparentsintheirownhomesD.investigateitfirst4.Thewritercomplains____.A.abouttheindifferenceofsomepeopletowardsnursinghomesB.abouttheshortageofequipmentinnursinghomeC.thatnursinghomeskeeptheagedfromcommunicatingwithothersD.bothAandB10.Tomsoundsverymuch____inthejob,butI’mnotsurewhetherhecanmanageit.A．interestedB．interestingC．interestinglyD．interestedly11.In________,hebegantolearnRussian,whenhewasin________.[]A.1970;the50'sB.the1970;his50sC.the1970s;hisfiftiesD.1970s;hisfifties12.Whenthefuture,manypeoplewillimaginealifehigh-techdevices.[]A.thinkingof,fullofB.thoughtabout,fullofC.thoughtof,filledwithD.thinkingabout,filledwith13.—Tom,youdidn'tcometothepartylastnight?—I_____,butIsuddenlyrememberedIhadhomeworktodo.14.Generallyspeaking,_____accordingtothedirections,thedrughasnoside-effect.15.Mariahaswrittentwonovels,bothof________havebeenmadeintotelevisionseries.A．themB．thatC．whichD．what16.MoYanwasawardedtheNobelPrizeforLiteraturein2012,madeoneoftheChinesepeople’slong-helddreamscometrue.A．itB．thatC．whatD．which17.Ifyouthinksuchbadbehaviourwillgo[]A.punishing,you'reaskingfortrouble.B.punishedC.unpunishedD.unpunishing18.Someoneisknockingatthedoor.Goandsee_____.19.Everytimethefathercomesintohisroom,theboypretends______earnestly.[]A.readingB.tobereadingC.tobereadD.tohaveread20.Directions:Thefollowingpeoplearegoingtotakepartinjobinterviews.Matchtheinterviews(markedwithA,B,C,D,EandF)withthepeoplesothattheycanhaveagreaterchanceofbeingemployed.Thereisoneextraparagraphthatyoudon’tneed.61.Tomisauniversitystudentgraduatingsoon.Heissmart,swiftandquick-minded.Heisfondofchallenges.Hecanreacttosuddenchangesverywell.62.Maryisagraduatewhooftencancommunicateandcooperatewithotherswellandcanmakefriendseasily.63.Timisahardworkingperson.Hehasdoneseveraljobsbutstillhasn’tfoundhisfavorite.Everytimebeforehegoesforaninterview,he’llmakefullpreparationsastowhatinterviewersmayaskabouthim.64.Helenhasworkedinanadvertisingcompanyfor8yearsbeforeandnowsheisconsideringfindingajobinabiggeradvertisingcompany.Sheisatalentedwomanandpossessesoutstandingskills.65.Mikeisabraveandhonestperson.Heoftensayswhat’sinthemind.Hehasmanytruefriends.AYou’llbeaskedalotofquestionsconcerningawidevarietyofsubjects.Forexample,youwillbeaskedaboutthepoliticalaffairstoseewhetheryoukeepaneyeonthethingshappeningathomeandabroad.Ofcourse,youshouldalsoknowaboutthecompanyitselfverywell—thebasicinformation,thepolicy,themarket,andthepotential.BYoumaybeinterviewedwithoneortwootherinterviewees.Theinterviewermayaskyoutosolveproblemswhichrequireyouandyourpartnertoworktogether.It’sasimportanttoleadastolisten.So,teamspiritmatters.CTheinterviewerexplorescertainpredeterminedareasusingquestionswhichhavebeenwritteninadvance.Youmayberequiredtolistyourpastexperience,skillsandpersonality.Yourexperienceandskillsarecomparedtospecificjobtaskstoseewhetheryouarefitforthejob.DTheinterviewerintentionallyattemptstoupsetyoutoseehowyoureactunderpressure.Youmaybeaskedquestionsthatmakeyouuncomfortableoryoumaybeinterruptedwhenyouarespeaking.Atthosetimes,yourquickresponsescount.EInsomejobinterviews,youwillbeaskedaboutyoursocialrelationship.Sometimes,theinterviewerwillevenaskyouhowmuchhardliquor(酒)youcandrink.Justkeeptothefact,oryou’llsufferlater.FSituationsaresetupwhichsimulate(copy)commonproblemsyoumaymeetwithonthejob.Yourresponsestothesesituationsaremeasuredagainstpredeterminedstandards.Thewayofdealingwiththeproblemreallymatters.Theinterviewerscandeterminewhetheryouhavethebasicqualificationsforthejob.第1卷参考答案一.数学题库1.答案：PD与AC互相垂直．理由如下：连接OE，则OE⊥PD；∵AC=AB，OE=OB，∴∠OEB=∠B=∠C，∴OE∥AC，∴PD与AC互相垂直．应改为WHILE；②PRINT改为PRINTn；③S=1应改为S=0．n+1应3.答案：DC的方程x2=4y（5∵y=x24∴y′=12x过点A的抛物线切线方程为y-x214=12x1(x-x1)，∵切线过E点，是方程x2-2ax-8=0的两根，∴x1+x2=2a，x1•x2=-8可得AB中点为(a，a2+42)又kAB=y1-y2x1-x2=x214-x224x1-x2=x1+x24=a2，∴直线AB的方程为y-(a22+2)=a2(x-a)即y=a2x+2，∴ABAB中点N(a，a2+42)，直线AB的方程为y=a2x+2当a≠0时，则AB的中垂线方程为y-a2+42=-2a(x-a)，∴AB的中垂线与直线y=-2的交点M(a3+12a4，-2)∴|MN|2=(a3+12a4-a)2+(-2-a2+42)2=116(a2+8)2(a2+4)∵|AB|=1+a24(x1+x2)2-4x1x2=(a2+4)(a2+8)若△ABM为等边三角形，则|MN|=32|AB|，∴116(a2+8)2(a2+4)=34(a2+4)(a2+8)，解得a2=4，∴a=±2，此时a=0时，经检验不存在满足条件的点E综上可得：满足条件的点E存在，坐标为分）5.答案：B6.答案：因为两点）的直线的斜率为k=1-51-(-3)=-1所以直线的倾斜角为：135°．故为：135°．7.答案：由题意，xn+1=xnyn+1=xn+yn∴向量的横坐标不变，纵坐标构成以0为首项，2为公差的等差数列∴OP20118.答案：D9.答案：依题意，此椭圆方程为标准方程，且焦点在x轴上，设为x2a2+y2b2=1∵椭圆的两顶点分10.答案：B11.答案：当k=3时两条直线平行，当k≠3时有2=-24-k≠3所以k=5故为：3或5．n=1时，左边=12＞1124，∴n=1时成立（2n=k（k≥1）时成立，即1k+1+1k+2+1k+3+…+1k+k＞1124那么当n=k+1时，左边=1k+2+1k+3+…+1k+k+1K+1+k+1k+1+k+1=1k+1+1k+2+1k+3+…+1k+k+1k+k+1+1k+1+k+1-1k+1＞1124+12k+1-12k+2＞1124．∴n=k+1时也成立（7n≥1都成立（8分）13.答案：证明：∵E，F，G，H分别为空间四边形ABCD四边AB，BC，CD，DA的中点，∴EF是△ABC的中位线，∴EF∥AC，且EF=12AC．同理可证，GH∥AC，且GH=12AC，故有EF∥GH，且EF=GH，∴四边形EFGH是平行四边形．14.答案：A15.答案：∵椭圆的一个焦点是(3，0)，∴c=3，又∵短轴长是2，∴2b=2．b=1，∴a2=4∵焦点在x轴上，∴椭圆的标准方程是x24+y2=1故为x24+y2=116.答案：Cx2+y2=1的圆心为x2+y2-8x+12=0的圆心为2．依题意得|PF|=2+r|，|PO|=1+r，则|PF|-|PO|=（2+r）-（1+r）=1＜|FO|，所以点P的轨迹是双曲线的一支．故选C．18.答案：根据有理数指数幂的运算性质：x10÷x5=x5故为：x519.答案：∵a?b=|a|?|b|cos60°=1，∴|a+2b|=(a+2b)2=4+4+4a?b=23，设向量a与向量a+2b的夹∴θ=30°，故为23，30°．=12（-2a+b+c）=-a+12b+12c，所以MN=12（ON+AN）=-12a+12b+12c．故选C．21.答案：D22.答案：D23.答案：A24.答案：由条件概率的计算公式，可得P（AB）=P（A）×P（B|A）=35×12=310；故为310．选A．二.语文题库1.答案：①惺忪：同“惺松”，因刚醒而眼睛模糊不清。②见机：看情况办事，这里是“识趣”的意思。③呻吟：指人因痛苦而发出声音。④怜悯：对遭遇不幸的人表示同情。⑤会心：领会心意。⑥生杀予夺：指反动统治者掌握了生死、赏罚大权。⑦横七竖八：有横有竖，杂乱无章。⑧三差二错：指意外可能发生的错误。（2）星垂平野阔，月涌大江流。（3）生当作人杰，死亦为鬼雄。解析：无3.答案：D（2）多事（寺）（3）没事（寺）（4）存心不良（量）（5）抓瞎（虾）（6）不能依（倚）靠5.答案：本句用了比喻的修辞手法，把美国政府比作支票的签字者，而把美国公民比作支票的合法继承人。“空头支票”指的就是政府违背诺言，对有色人种拒付支票。这样就撕破了政府的虚伪外可）分，每小题1分，任选5参省乎己（4）夫祸患常积于忽微（5）渺沧海之一粟（6）长使英雄泪满襟（7）望帝春心托杜鹃解析：略7.答案：A8.答案：C以”意思相近，“给以”后面只说所给的事物，不说接受的人，这里应选择“给予”。“更加”和“越发”意思相近，“越发”多用于和“越”搭配。9.答案：C10.答案：Ｄ余韵深长）（2）困惑（3）混乱（4）聚集、纠集12.答案：B解析：出产；动词，天然生产或人工生产；又作名词，出产的物品。句中语境是19世纪英国工业革命，第一空宜用“生产”而非“出产”。生产：动词，人们使用工具创造各种生产资料和生活资料，同理20世纪美国是最大的“消费”国家而非“浪费”国家。消费：动词，为了生产或生活需要而消21动词，引导，带领。13.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。14.答案：参考：切莫贪图方便贻害环境（开放题，不设统一）15.答案：示例：要不要灾难对待灾难的态度解析：压缩时要注意上下文的连贯。第一空对应原文分号前的内容，第二空对应分号后的内容。16.答案：车上不便通话，917.答案：B18.答案：A19.答案：A解析：重要：具有重大的意义、作用和影响的。要害：比喻重要的部分或军事上重要的地点，多用在事物上。第一句是来修饰人物，故用“重要”。臆造：凭主观的想法编造。编造：捏造。第二句强调从实际情况探索，与客观实际情况相对的应是主观，故应用“臆造”。径自：表示自己直接行动。径直：表示直接向某处前进，不绕道，不