2015-2022年哈爾濱職業(yè)技術(shù)學(xué)院高職單招語文／數(shù)學(xué)／英語筆試參考題庫含答案解析

2015-2022年哈爾濱職業(yè)技術(shù)學(xué)院高職單招語文／數(shù)學(xué)／英語筆試參考題庫含答案解析（圖片大小可自由調(diào)整）第1卷一.數(shù)學(xué)題庫(共25題)1.雙曲線x29-y216=1的兩個(gè)焦點(diǎn)為PP到x軸的距離為______．2.下列各組集合，表示相等集合的是（①M(fèi)={（3，2）}，N={（2，3）}；②M={3，2}，N={2，3}；）③M={（1，2）}，N={1，2}．A．①B．②C．③D．以上都不對(duì)3.設(shè)向量與的夾角為θ，A．，，則cosθ等于（）B．C．D．4.從直徑AB的延長線上取一點(diǎn)C，過點(diǎn)C作該圓的切線，切點(diǎn)為D，若∠ACD的平分線交AD于點(diǎn)E，則∠CED的度數(shù)是（）A．30°B．45°C．60°D．隨點(diǎn)C的變化而變化5.O是正六邊形ABCDE的中心，且OA=a，OB=b，AB=c，在以A，B，C，D，E，O為端點(diǎn)的向量中：（1）與a相等的向量有______；（2）與b相等的向量有______；（3）與c相等的向量有______．6.已知x，y的取值如下表：x0134y6.7從散點(diǎn)圖分析，y與x線性相關(guān)，則回歸方程為.y=bx+a必過點(diǎn)______．7.若長方體的三個(gè)面的對(duì)角線長分別是a，b，c，則長方體體對(duì)角線長為（A．a(chǎn)2+b2+c2B．12a2+b2+c2C．22a2+b2+c2D．32a2+b2+c2）8.利用計(jì)算機(jī)在區(qū)間（0，1）上產(chǎn)生兩個(gè)隨機(jī)數(shù)a和b，則方程有實(shí)根的概率為（）A．B．C．D．19.過直線x+y-22=0上點(diǎn)P作圓x2+y2=1的兩條切線，若兩條切線的夾角是60°，則點(diǎn)P的坐標(biāo)是______．10.設(shè)四邊形ABCD中，有DC=12AB，且|AD|=|BC|，則這個(gè)四邊形是______．11.已知a=3i+2j-k，b=i-j+2k，則5a與3b的數(shù)量積等于______．12.P為橢圓x225+y216=1上一點(diǎn)，F(xiàn)1，F(xiàn)2分別為其左，右焦點(diǎn)，則△PF1F2周長為______．13.已知向量a=（8，x＞0．若a∥b，則x的值為（A．8）B．4C．2D．014.直三棱柱ABC-A1B1C1中，若CA=aA．a(chǎn)+b-cB．a(chǎn)-b+cC．-a+b+cD．-a+b-cCB=bCC1=c則A1B=（）15.已知△ABC的三個(gè)頂點(diǎn)為BC上的中線長為______．16.已知17.用冒泡法對(duì)43，34,22,23,54從小到大排序，需要（）趟排序。A．2B．3C．4D．518.與直線2x+y+1=0的距離為的直線的方程是（A．2x+y=0）B．2x+y-2=0C．2x+y=0或2x+y-2=0D．2x+y=0或2x+y+2=0兩種商品不能排在一起，則不同的排法共有______種．20.已知點(diǎn)P在曲線C1：x216-y29=1上，點(diǎn)Q在曲線上，點(diǎn)R在曲線2+y2=1上，則|PQ|-|PR|的最大值是（）A．6B．8C．10D．1221.若拋物線y2=4x上一點(diǎn)P到其焦點(diǎn)的距離為3，則點(diǎn)P的橫坐標(biāo)等于______．22.已知全集U=R，A?U，B?U，如果命題P：2∈A∪B，則命題非P是（A．2?AB．2∈(CUA)C．2∈(CUA)∩(CUB)D．2∈(CUA)∪(CUB)）23.函數(shù)數(shù)列{fn（x）}滿足：f1(x)=x1+x2(x＞0)，fn+1（x）=f1[fn（x）]（1）求（2）猜想fn（x）的表達(dá)式，并證明你的結(jié)論．24.用反證法證明“a+b=1”時(shí)的反設(shè)為（A．a(chǎn)+b＞1且a+b＜1）B．a(chǎn)+b＞1C．a(chǎn)+b＞1或a+b＜1D．a(chǎn)+b＜125.若方程sin2x+4sinx+m=0有實(shí)數(shù)解，則m的取值范圍是（）A、RB、(-∞，-5]∪[3，+∞)C、(-5，3)D、[-5，3]二.語文題庫(共20題)1.依次填入下列橫線處的詞語，最恰當(dāng)?shù)囊唤M是①在西藏高原的雪山中也有熱帶這風(fēng)光，也長著香蕉和菠蘿，這實(shí)在是一件令人嘖嘖的事。②中國文物信息網(wǎng)日前公布了已入圍2005年度全國考古手大新發(fā)現(xiàn)的24了石器時(shí)代至宋元時(shí)期的文化遺存。③這里不光生長有益的植物，還有一些的植物，其中有一種一人多高的小樹，樹干細(xì)細(xì)的，葉子像葉，一年開一次花，果實(shí)像豌豆，它的花和葉子都有毒。奇囊括有毒居然C．稱奇涵蓋有害居然D．稱道囊括有毒竟然業(yè)的機(jī)器人。些粗糙。怎樣回答會(huì)更好些呢?請(qǐng)你替這位運(yùn)動(dòng)員設(shè)計(jì)一個(gè)回答。答：。4.下列劃線詞語解釋有錯(cuò)誤的一項(xiàng)[（團(tuán)結(jié)）在一起。5.下列各組詞語中有錯(cuò)別字的一組是故C．陳規(guī)墨守成規(guī)精心漫不經(jīng)心D．直接直截了當(dāng)劇增與日俱增6.對(duì)下列各句句意關(guān)系的理解，恰當(dāng)?shù)囊豁?xiàng)是[①清風(fēng)徐來，水波不興]②蓋將自其變者而觀之，則天地曾不能以一瞬③逝者如斯，而未嘗往也④縱一葦之所如，凌萬頃之茫然A．①與④相同，②與③不同B．①與④不同，②與③相同C．①與④不同，②與③不同D．①與④相同，②與③相同國家撥給的預(yù)算實(shí)際上只能到位一半，研究所只能向各種基金組織申請(qǐng)研究補(bǔ)助。B．著名小提琴演水平擴(kuò)張產(chǎn)生了釜底抽薪的效應(yīng)。D．法國大昆蟲家法布爾，把科學(xué)和文學(xué)巧妙地結(jié)合起來，用富有詩意的筆觸給人們描繪了一個(gè)絢麗多姿、光怪陸離的昆蟲世界。8.補(bǔ)寫出下列名篇名句中的空缺部分。(只選三小題)(6分)(1)此情可待成追憶，(2)釘頭磷磷，。渺渺兮予懷，望美人兮天一方。（蘇軾《赤壁（3）桂棹兮蘭槳，（4）吾嘗跂而望矣，。（《荀子·勸（5）人生如夢，（6）。(蘇軾《念奴嬌》)，二三其德。9.按表達(dá)要求，不得增減詞語。5月3日校長是在會(huì)上向?yàn)?zāi)區(qū)提議捐款全校師生以（1）“5月3日”為表達(dá)重心：_______________________________________________________（2）以“校長”為表達(dá)重心：_______________________________________________________10.根據(jù)所給情境，就畫線部分的內(nèi)容，任選一句寫出相應(yīng)的歇后語。（1）準(zhǔn)確流暢的口語表達(dá)是現(xiàn)代人生活工作的必備能力。這一能力需要在平時(shí)鍛煉培養(yǎng)；否則，待到需要時(shí)，就會(huì)雖有學(xué)識(shí)，但也表達(dá)不出來。（2）在北京電視臺(tái)征集春節(jié)晚會(huì)的小演員的現(xiàn)場，五歲的“少奶奶”、六歲半的“變臉王”和八歲的“杰克遜”紛紛登臺(tái)亮相，各顯絕技。答：________________________________________________________11.下列句子沒有用比喻的一句是()A靜對(duì)著像喇叭似的牽牛花的藍(lán)朵，自然而然地也能感覺到十分的秋意。B像橄欖又像鴿蛋似的這棗子顆兒，在小橢圓形的細(xì)葉中間，顯出淡綠微黃的顏色的時(shí)候，正是秋的全盛時(shí)期。C北方人念陣字總老像是層字，平平仄仄起來，這念錯(cuò)的歧韻，倒來得正好。D滿山遍野的秋林涌動(dòng)不息，如海潮呼嘯，如箏琶齊鳴。12.下面是周華同學(xué)給博物館金館長寫的一張便條，其中有些詞用得不得體，請(qǐng)你幫他修改。金館長：行磋商。周華5月18日要求：找出并改正用得不得體的詞，寫入下表，有幾個(gè)寫幾個(gè)。不正得體的詞改13.填入下面語段空缺處的語句，恰當(dāng)?shù)囊豁?xiàng)是[]在晚清那個(gè)思想太動(dòng)蕩的年代里，王國維投湖自盡的原因應(yīng)該說是落在了一個(gè)愚忠上。_________在極度的矛盾痛苦中，他只能緊急剎建式的，這話不無道理。A．作為一個(gè)傳統(tǒng)的文人士大夫，他能夠看清大清帝國即將滅亡的歷史必然性；但作為一個(gè)大智者，他又不能跳出儒家的道德價(jià)值體系。B．作為一個(gè)大智者，他能夠跳出儒家的道德價(jià)值體系；但作為一個(gè)傳統(tǒng)的文人士大夫，他又不能看清大清帝國即將滅亡的歷史必然性。C．作為一個(gè)傳統(tǒng)的文人士大夫，他不能跳出儒家的道德價(jià)值體系；但作為一個(gè)大智者，他又能夠看清大帝國即將滅亡的歷史必然性。D．作為一個(gè)大智者，他能夠看清大清帝國即將滅亡的歷史必然性；但作為一個(gè)傳統(tǒng)的文人士大夫，他又不能跳出儒家的道德價(jià)值體系。15個(gè)字）華人擴(kuò)大到其他族裔的美國人。美國海思食品集團(tuán)天然和特種食品部經(jīng)理雅各布森說，這是10年或15年想不到的事情。____________________________________________15.指出下列句子是單句還是復(fù)句。（1）老師在這堂課上，主要講了語言的起源。（2）不管誰都不能不遵守規(guī)章制度。（3）只要不下大雨，我就去接你。（4）無論世界風(fēng)云如何變化，我們都要堅(jiān)持改革開放的國策。（5）路兩邊，你瞧，都是近來栽種的小白楊樹。答：___________________________________________________8字）度。被埋在廢墟下的時(shí)間比較長，救援人員未到，或者沒有聽到搜救信號(hào)，就要想辦法維持自己的生命，盡量尋找食品和飲用水，水和食品一定要節(jié)約，必要時(shí)自己的尿液也能起到解渴作用。以上文字告訴我們，在遭遇地震災(zāi)害時(shí)要_____________________________________________17.下列各組詞語中，沒有錯(cuò)別字的一組是（）A．蟄伏、尋章摘句、廝打、急流勇退B．疏浚、不落窠臼、璀璨、老奸巨滑C．寒暄、藏污納詬、慪氣、綿里藏針D．通諜、靡靡之音、學(xué)籍、流言蜚語18.為下面短文中畫線處選擇一個(gè)貼切的比喻()年的五彩夢B．密封的四堵墻C．繡著紅花的藍(lán)布裙D．二姐出嫁時(shí)坐的彩轎。用“寧可餓死，不領(lǐng)美國救濟(jì)糧”贊揚(yáng)其民族氣節(jié)。B．李樂薇是臺(tái)灣現(xiàn)代散文作家，文筆清新，語20篇，是共523371511最重要的一篇。20.下列各組詞語中，錯(cuò)別字最多的一組是A．蔭敝人情事故抱怨罄竹難書B．歉收行蹤鬼秘寒暄稀世珍寶C．文采源木求魚委曲簽定協(xié)議D．降伏心心相映撕殺憑心而論三.英語題庫(共20題)1.____manytimes,buthestillcouldn'tunderstand.A.HavingtoldB.HehadbeentoldC.ThoughhehadbeentoldD.Havingbeentold2.—Why,Jack,youlooksotired!—Well,I_____thehouseandImustfinishtheworktomorrow.3.Stayawake!Youshouldknowthatit________tosleepinclass.A.doesn'tpermitB.isnotpermittedC.willnotbepermittedD.wasnotpermitted4.Thistimeyesterday,theprofessor_____anexcellentspeech.5.Birthdayparties,ChristmasandEastercanbedifficulttimesforgrandmothersandparentsastheyrusharoundtryingtoarrangetheperfectcelebrationormakingeveryoneashappyaspossible!What’sbetterthanabirthdaypartythatmakesyourgrandchildsmilethroughoutoracelebrationthatimpressesrelativesandclosefriends?ThatiswhyGrannyLookhassuppliedinthissection,oneofthemostcomprehensiveguidestomakingthesespecialoccasionsthathappenperhapsonceayeararealsuccess.FromaselectionofAdventcalendarstopartyplanningorChristmas-stockingfillerswehaveallthepossibilitiescoveredsothatyourchildrenandgrandchildrenwillreallyhaveamemorabletimewithattractivegiftsandoriginalideas.Bringthatfestivespirittoallthosetraditionaldays,andensureyouarealwaysreadyforanypossibility.GrannyLook’sextensivelinksareboundtomakeeveryspecialoccasionanentirelydifferentexperiencefromtheyearbeforeandalloweveryonetofeelentertainedandcontent.CHRISTMAS-STOCKINGFILLERSLOOKnofurther!!GrannyLookhelpsthefamilytoprepareintimeforFATHERCHRISTMAS.GiveSANTACLAUSsomeideas.Hecanfillallthechildren’sChristmas-stockingswithgoodies!UniqueChristmasgiftsforchildren-stockingfillers.AGrannyLookfavorite!ADVENTCALENDARSAllchildrenlovethebuild-uptoCHRISTMAS!WhatisbetterthanchoosingoneofGrannyLook’sselectionofAdventCalendars!HereyouwillfindalistofwebsitestobuytraditionalorfunAdventcalendarsforchildrenatChristmastime.AGrannyLookfavorite!BIRTHDAYSLOOKINGforaSPECIALBIRTHDAYGIFT?ExploreGrannyLook’sselectionofPRESENTS,PARTYPLANNING,PARTYTOYSandPARTYGAMESforyourChildrenandGrandchildren’sBIRTHDAYS.PlanandorganizetheKIDDIE’SPARTIESaheadoftime!!Don’tforgetthePERSONALISEDINVITATIONS!CHRISTMASLOOKandBOOKnow!!GrannyLook’sselectionofCHRISTMASGIFTSforchildren.Someguidesto“What’soninyourarea”…forthekids.PANTOS,SHOWS,THEATRES…atChristmastime!UNIQUEChristmasgiftsforChildren.SpendQUALITYTIMEwithyourChildren’sChildrenthisFESTIVESEASON!61.Fromthetext,weknowthat“GrannyLOOK”is__________.A.apersonwhoguidesyoutomakeyouryearlycelebrationarealsuccessB.amagazinethathelpsthefamilytoprepareforspecialoccasionsC.acompanythatsellsallsortsofproductsontheInternetD.awebsitethathelpsyoutoprepareforspecialoccasions62.Thepurposeofthetextis_________.A.tomakechildrenhaveamemorableholidayB.toshowyouhowtoshopontheInternetC.togiveyousomeinformationaboutGrannyLookD.tointroducesomegoodswherewillyousearchfortheinformation?A.AtBirthdays.B.AtAdventCalendars.C.AtChristmas-stockingfillers.64.YouwillfailtofindanyinformationatChristmaswhenyouneed_________.D.AtChristmas.A.ChristmascardsAdventcalendarsB.funD.C.Christmasgiftsticketsfortheatres65.Ifyoursonwants_________.A.BirthdaysatraditionalAdventcalendar,youshouldsearchB.D.AdventCalendarsC.Christmas-stockingfillersChristmas本篇主要介紹GrannyLook網(wǎng)的辦網(wǎng)宗旨以及各種各樣的網(wǎng)址鏈接。6.AttractionsinWisconsinWisconsinHistoricalMuseum30N.CarrollStreetonMadison’sCapitolSquareDiscoverWisconsin’shistoryandculture(文化)onfourfloorsofexhibits.Openforpublicprogram.Admissionisfree.OpenTuesdaythroughSaturday,9:00am--4:00pm.(608)264-6555/museumSwisshistoricalvillage612SeventhAve.,NewGlarusTheSwissHistoricalVillageoffersadelightfullookatpioneerlifeinAmerica’sheartland.14buildingsinthevillagegiveafullpictureofeverydaylifeinthenineteenth-centuryMidwest.Tue.—Fri.,May1st–October31st,10:00am—4:00pm.Admissionis$20.(608)527-2317ArtisanGallery&CreameryCafé6858PaoliRd.,Paoli,WIOneofthelargestcollectionsoffineartsandcrafts(手工藝品)inWisconsin.Over5000sp.ft.ofexhibitionspaceinahistoriccreamery.WhilevisitingenjoyawonderfullypreparedlunchatourcaféoverlookingtheSugarRiver.JustminutesfromMadison!GalleryopenTue.–Sun.,10:00am—5:00pm.CaféopenWed.–Sat.,11:00am–3:00pm.Sun.brunchwithwine,10:00—3:00pm.(608)845-6600ChristopherColumbusMuseum239WhitneySt.,ColumbusWorld-classexhibit–2000qualitysouvenirs(紀(jì)念品)markingChicago’s1893WorldColumbianExhibition.Tourbusesarealwayswelcome.Opendaily,8:15am–4:00pm.(920)623-1992小題1:WhichofthefollowingisonCapitolSquare?A．WisconsinHistoricalMuseum.B．SwissHistoricalVillage.C．ArtisanGallery&CreameryCafé.D．ChristopherColumbusMuseum.小題2:WherecanyougoforavisitonHistoricalHistoricalVillage.C．ArtisanGallery&Creamerycafé.D．ChristopherColumbusMuseum.小題3:Wherecanvisitorshavelunch?A．AtWisconsinHistoricalMuseum.B．AtSwissHistoricalVillage.C．AtArtisanGallery&CreameryCafé.D．AtChristopherColumbusMuseum.小題4:Welearnfromthetextthat___________.A．SwissHistoricalVillageisopenforhalfayearB．ChristopherColumbusMuseumoverlooksariverC．ticketsareneededforWisconsinHistoricalMuseumD．ArtisanGallery&CreameryCaféareopendailyfor4hours7.Ifthedoctorarrivesintime,_______babieswillbesaved.A.allthelittlepoorB.theallpoorlittleC.allthepoorlittleD.thealllittlepoor8.—Haveyoufinishedyouressay?—Half_____whenyoucomehack.[A.hasbeendone]B.isdoneC.bedoneD.willhavebeendone9.Theteachersaidthatdoubt____thekeyofknowledge.A.wereB.areC.wasD.is10.Lifeisdifficult.Itisagreattruthbecauseoncewetrulyunderstandandacceptit,thenlifeisnolongerdifficult.Mostdonotfullyseethistruth.Insteadtheycomplainabouttheirproblemsanddifficultiesasiflifeshouldbeeasy.Itseemstothemthatdifficultiesrepresent(代表)aspecialkindofsufferingespeciallyforceduponthemorelseupontheirfamilies,theirclass,oreventheirnation.Whatmakeslifedifficultisthattheprocessoffacingandsolvingproblemsisapainfulone.Problems,dependingontheirnature,causeinussadnessorlonelinessorregretorangerorfear.Theseareuncomfortablefeelings,oftenaspainfulasanykindofphysicalpain.Andsincelifecausesanendlessseriesofproblems,lifeisalwaysdifficultandisfullofpainaswellasjoy.Yet,itisinthiswholeprocessofsolvingproblemsthatlifehasitsmeaning.Problemsaretheserioustestthattellsussuccessfromfailure.Whenwedesiretoencouragethegrowthofthehumanspirit,weencouragethehumanability(能力)tosolveproblems,justasinschoolwesetproblemsforourchildrentosolve.Itisthroughthepainofmeetingandworkingoutproblemsthatwelearn.AsBenjaminFranklinsaid,“Thosethingsthathurt,instruct.”Itisforthisreasonthatwisepeoplelearnnottofearbuttowelcomethepainofproblems.56.Fromthepassage,itcanbeinferredthat______.A.everybodyhasproblemsB.webecomestrongerbyfacingandsolvingtheproblemsoflifeC.lifeisdifficultbecauseourproblemsbringuspainD.peopleliketocomplainabouttheirproblems57.Thewriterprobablyusedjustoneshortsentenceinthefirstparagraphto______.A.savespaceB.persuadereadersC.makereaderslaughD.getreader'sattention58.Themainideaofparagraph3isthat______.A.mostpeoplefeellifeiseasyB.thewriterfeelslifeiseasyC.thewriterlikestocomplainabouthisproblemsD.mostpeoplecomplainabouthowhardtheirlivesare59.Accordingtothepassage,wegiveschoolchildrendifficultproblemstosolveinorderto______.A.encouragethemtolearnB.teachthemtofearthepainofsolvingproblemsC.helpthemlearntodealwithpainD.teachthemhowtorespectforproblems11.27.We_______connectwitheachother;sheis_______ofanacquaintancethanafriend.A．seldom;moreB．often;betterC．often;moreD．seldom;better12.Someone____myumbrella!Itisallwet.Anditwaswetyesterdayandthedaybeforeyesterday.13.Shehas_________twochildren.[]A.borneB.bornC.boredD.boring14.Thereasonwhyheadaptedtothenewsituationsquicklyisthathehasa_____attitude.A．changeableB．a(chǎn)lternateC．movableD．flexible15.根據(jù)上句提示給下句找出最佳選項(xiàng)。1.Heoftensays"Ishalltellyouaboutthem."Heoftentellsmethat____willtell____about____.[B.he;me;them]A.I;you;themC.he;you;usD.I;me;you2.Youmustsaytoher,"Idependonyouandhim."Youmusttellherthat____dependon____and____.[B.she;you;me]A.I;you;himC.you;her;himD.you;me;him3.Jacksaidtome,"Youlookworriedtoday."Jacktoldmethat____worried____.[B.youlook;todayC.welooked;thatdayD.Ilooked;thatday4.Wesaidtoher,"They'rewalkingthroughthestreetnow."Wetoldherthat____throughthestreet____.[]A.wewerewalking;thenB.youarewalking;nowC.theywerewalking;thenD.theywalking;now5.MrBlacksaid,"Ihavewalkedalongwaythisweek."MrBlacksaid]A.helooks;todaythat____alongway____.[B.hehadwalked;thatweek]A.Ihadwalked;lastweekC.Iwalked;lastweekD.hehaswalked;thisweek6.MrsJonsonsaid,"Idrewthepicturelastweek."MrsJohnsonsaidthat____thepicture____.[B.Ihaddrawn;thatweek]A.shedrew;thatweekbeforeC.shehaddrawn;theweekbeforeD.Idrew;thelastweek7.Themanthought,"Ishalltakeitbacktomorrow."Themanthoughtthat____takeitback____.[]A.Ishall;tomorrowB.Ishall;thenextdayC.heshould;tomorrowD.hewould;thenextday8.Theysaidtous,"Areyouafraidtoleavethishouse?"Theyaskedus____afraidtoleave____house.[B.thatwewere;thatC.ifwerewe;this]A.thatwerewe;thisD.ifwewere;that9."DoyouknowEnglish?"heasked.Heaskedif____English.[B.youknowC.heknew]A.IknewD.Iknow10.Hesaid,"DoIhaveanythingtodowithher?"Heasked____anythingtodowith____.[B.ifhehad;me]A.ifdidhehave;meC.whetherhehad;herD.whetherhehad;him16.—Howmanypeoplewillattendtheparty?—Ten,twochildren______.A.includeB.toincludeC.includingD.included17.Ifourparentsdoeverythingforuschildren,wewon'tlearntodependon_____.18.Itis_______tospendmoneyonpreventingillnessesbypromotinghealthylivingratherthanspendingittryingtomakepeople_______aftertheyareill.19.Weallknowthat,_____,thesituationwillgetworse.20.Chineseartshavewonthe______ofalotofpeopleoutsideChina.A．enjoymentB．a(chǎn)ppreciationC．entertainmentD．reputation第1卷參考答案一.數(shù)學(xué)題庫又x29-y216=1，∴25-y29-y216=1，∴y2=16225，∴|y|=165，∴P到x軸的距離是165．①，2.答案：①中MM中表示兩個(gè)元素分別為1，2．所以表示相等的集合是②．故選B．3.答案：D4.答案：B5.答案：如圖，在O是正六邊形ABCDE的中心，以A，B，C，D，E，O為端點(diǎn)的向量中（1）與a相等的向量有b相等的向量有c相等的向量有三個(gè)空依次應(yīng)填EF，DO，CB；DC，EO，F(xiàn)A；FO，OC，ED．7.答案：解析：設(shè)同一頂點(diǎn)的三條棱分別為x，y，z，則x2+y2=a2，y2+z2=b2，x2+z2=c2得x2+y2+z2=12(a2+b2+c2)，則對(duì)角線長為12(a2+b2+c2)=22a2+b2+c2．故選C．8.答案：A9.答案：根據(jù)題意畫出相應(yīng)的圖形，如圖所示：直線PA和PB為過點(diǎn)P的兩條切線，且∠APB=60°，設(shè)P平分∠APB，∴∠OAP=∠OBP=90°，∴a2+b2=2，即a2+b2=4①，又P在直線x+y-22=0上，∴a+b-22=0，即a+b=22②，聯(lián)立①②解得：a=b=2，則PDC=12AB知四邊形ABCDABCD是等腰梯形．故為：等腰梯形．5a?3b=15×3+10×（-3）+（-5）×6=-15故為：-1512.答案：由題意知△PF1F2周長=2a+2c=10+6=16．13.答案：B14.答案：A1B=A1A+AB=-CC1+CB-CA=-a+b-c故選D．的中點(diǎn)為∴|AD|=(1-1)2+(-2+2)2+(5-3)2=2．故為：2．n=2n=k（k≥2）時(shí)不等式成立，即S2k=1+12+13+14+…+12k≥1+k2，當(dāng)n=k+1時(shí)，不等式左邊S2（k+1）（2）可知S2n＞1+n2對(duì)于任意的n≥2正整數(shù)成立．17.答案：A18.答案：D19.答案：先把進(jìn)行排列，有A22種排法，再把A、B看成一個(gè)元素，和E進(jìn)行排列，有A22種排法，最后再把C、D插入進(jìn)去，有A23種排法，根據(jù)分步計(jì)數(shù)原理可得A22A22A23=24種排法．故為：2420.答案：由雙曲線的知識(shí)可知：C1x216-y29=1的兩個(gè)焦點(diǎn)分別是F1（-5，0）與|PF1|+|PF2|=8而這兩點(diǎn)正好是兩圓（x+5）2+y2=1和（x-5）2+y2=1的圓心，兩圓（x+5）2+y2=4和（x-5）2+y2=1的半徑分別是r1=1，r2=1，∴|PQ|max=|PF1|+1，|PR|min=|PF2|-1，∴|PQ|-|PR|C的距離是相等的，∴|MF|=3=x+p2=3，∴x=2，故為：2．22.答案：命題P：2∈A∪B，∴┐p為2∈(CUA)∩(CUB)故選C猜想：fn(x)=x1+nx2(n∈N*)下面用數(shù)學(xué)歸納法證明：①當(dāng)n=1時(shí)，f1(x)=x1+x22，已知，顯然成立②假設(shè)當(dāng)n=K（K∈N*）4時(shí)，猜想成立，即fk(x)=x1+kx2則當(dāng)n=K+1時(shí)，fk+1(x)=f1(fk(x))=fk(x)1+f2k(x)=x1+kx21+(x1+kx2)2=x1+(k+1)x2即對(duì)n=K+1合①②可知：猜想fn(x)=x1+nx2對(duì)一切n∈N*都成立．24.答案：C25.答案：D二.語文題庫1.答案：C解析：“稱道”是“稱贊、贊揚(yáng)”的意思；而“稱奇”是稱贊奇妙，比“稱道”語義重。①句中說“在西藏高原的雪山中也有熱帶風(fēng)光，也長著香蕉和菠蘿”應(yīng)該是令人感到很奇妙的事，所以應(yīng)選“稱奇”；“涵蓋”是“包括，包容”的意思，“囊括”意思是“把全部包羅在內(nèi)”，②句句意只是包括“舊石器時(shí)代至宋元時(shí)期的文化遺存”，沒有把全部包羅在內(nèi)的意思；③句與“有益”相對(duì)，應(yīng)選用“有害”?！熬谷弧焙汀熬尤弧倍际歉痹~，都表示由于事情的結(jié)果因與原來的預(yù)期相反而感到意外的語氣?！熬谷弧眰?cè)重表示“不該這樣而這樣”，語氣較重；“居然”可以表示“不應(yīng)該或然”輕，用于后一種情況時(shí)語氣比“竟然”重。“居然”兼用于書面語和口語。④句表示的是“不容易這樣而竟能這樣”，故用“居然”。2.答案：現(xiàn)在許多國家都已經(jīng)能夠生產(chǎn)這樣的機(jī)器人：它們可以獨(dú)立操作機(jī)床，可以在病房細(xì)心照料病人，可以在危險(xiǎn)區(qū)域進(jìn)行作業(yè)。解析：把長句變換為短句的方法，主要是把長句中中心語的復(fù)雜、冗長的修飾成分分解出來，使其自成句子。需要注意的是，修飾成分如果是由多重意思構(gòu)成，那么就要把每個(gè)意思都分解、組合為其組合成一個(gè)短句，再將賓語的幾重定語“可以獨(dú)立操作機(jī)床”“可以在病房細(xì)心照料病人”“可以在危險(xiǎn)區(qū)域進(jìn)行作業(yè)”分解成三個(gè)獨(dú)立句子。3.答案：示例：是的，某某的實(shí)力很強(qiáng)，他本來有條件奪冠，我為他的失誤感到惋惜，我們今后會(huì)有更多切磋交流的機(jī)會(huì)。至于奪冠是否偶然，我想，任何人僅憑運(yùn)氣和他人失誤