2015-2022年潮汕職業(yè)技術(shù)學(xué)院高職單招語(yǔ)文/數(shù)學(xué)/英語(yǔ)筆試參考題庫(kù)含答案解析_第1頁(yè)
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2015-2022年潮汕職業(yè)技術(shù)學(xué)院高職單招語(yǔ)文/數(shù)學(xué)/英語(yǔ)筆試參考題庫(kù)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(kù)(共25題)1.下列4個(gè)命題㏒1/2x>㏒1/3x其中的真命題是()、A.(B.C.D.2.探照燈反射鏡的縱斷面是拋物線的一部分,光源在拋物線的焦點(diǎn),已知燈口直徑是60cm,燈深40cm,則光源到反射鏡頂點(diǎn)的距離是______cm.3.已知雙曲線的頂點(diǎn)到漸近線的距離為A.)B.C.3D.24.要證明,可選擇的方法有以下幾種,其中最合理的是()A.綜合法B.分析法C.反證法D.歸納法5.圓C1:x2+y2-6x+6y-48=0與圓C2:x2+y2+4x-8y-44=0公切線的條數(shù)是(A.0條)B.1條C.2條D.3條6.如圖,AB為⊙O的直徑,弦AC、BD交于點(diǎn)P,若AP=5,PC=3,DP=5,則AB=______.7.在四面體O-ABC為BC為ADc表示)8.函數(shù)f(x)=log2(3x+1)的值域?yàn)椋ǎ?.已知定點(diǎn)為曲線x=6+2cosθy=2sinθ上的動(dòng)點(diǎn),若AP=2AM,試求動(dòng)點(diǎn)P的軌跡C的方程.10.知x、y、z均為實(shí)數(shù),(1)若x+y+z=1,求證:++≤3;(2)若x+2y+3z=6,求x2+y2+z2的最小值.11.若三角形的內(nèi)切圓半徑為V=______.12.有一批機(jī)器,編號(hào)為1,2,3,…,112,為調(diào)查機(jī)器的質(zhì)量問(wèn)題,打算抽取10臺(tái),問(wèn)此樣本若采用簡(jiǎn)單的隨機(jī)抽樣方法將如何獲得?13.某學(xué)校為了解該校120050這50名學(xué)生百米成績(jī)的頻率分布直方圖.根據(jù)樣本的頻率分布,估計(jì)這1200名學(xué)生中成績(jī)?cè)赱13,15](單位:秒)內(nèi)的人數(shù)大約是______.14.將函數(shù)進(jìn)行平移,使得到的圖形與拋物線的兩個(gè)交點(diǎn)關(guān)于原點(diǎn)對(duì)稱,試求平移后的圖形對(duì)應(yīng)的函數(shù)解析式.ABCDP的⊙O)A.60B.402C.352D.5016.已知參數(shù)方程A(-1,-1)的距離的最小值是______.17.設(shè)a=(2,2m-3,n+2),b=(4,2m+1,3n-2),且a∥b,則實(shí)數(shù)m,n的值分別為______.18.在△ABC中,AB=2,AC=1,D為BC的中點(diǎn),則AD?BC=______.19.集合{1,2,3}的真子集總共有()A.8個(gè)B.7個(gè)C.6個(gè)D.5個(gè)20.某程序圖如圖所示,該程序運(yùn)行后輸出的結(jié)果是______.21.直線(3+4)x+(4-6)y-14-2=0(∈R)恒過(guò)定點(diǎn)A,則點(diǎn)A的坐標(biāo)為()P(-2<ξ≤0)=0.4,則P(ξ>2)等于(A.0.1B.0.2C.0.3D.0.423.設(shè)U={三角形},M={直角三角形},N={等腰三角形},則M∩N=______.24.下面為一個(gè)求20個(gè)數(shù)的平均數(shù)的程序,在橫線上應(yīng)填充的語(yǔ)句為(A.i>20)B.i<20C.i>=20D.i<=2025.已知兩組樣本數(shù)據(jù)的平均數(shù)為的平均數(shù)為成一組以后,這組樣本的平均數(shù)為()A.B.C.D.二.語(yǔ)文題庫(kù)(共20題)社會(huì)風(fēng)氣就會(huì)逐漸好轉(zhuǎn)起來(lái)。B.有的畢業(yè)生在自薦中隨意制造獲獎(jiǎng)情況,明明只獲得班級(jí)獎(jiǎng)勵(lì)卻寫成學(xué)校的或更高級(jí)的,有的推薦表則更是空穴來(lái)風(fēng)。C.你的這個(gè)不情之請(qǐng)讓我很為難,過(guò)兩天我再答復(fù)你吧。D.全黨和全社會(huì)都要高度重視知識(shí)創(chuàng)新、人才開發(fā)對(duì)經(jīng)濟(jì)發(fā)展和社會(huì)進(jìn)步的重大作用,使科教興國(guó)真正成為全民族的廣泛共識(shí)和實(shí)際行動(dòng)。2.下面是一首題為《門》的詩(shī)歌。請(qǐng)?jiān)跈M線上補(bǔ)寫有關(guān)詩(shī)句。要求想象合理,并與相關(guān)句子一致。詩(shī)人說(shuō):花朵把春天的門推開了,綠蔭把夏天的門推開了,(1)______________________________,飛雪把冬天的門推開了。我說(shuō):勤勞把貧困的門推開了,堅(jiān)韌把苦難的門推開了,(2)______________________________,(3)______________________________。3.下列詞語(yǔ)中,沒(méi)有錯(cuò)別字的一組是A.訣巧磨礪贗品淺嘗輒止B.赦免落寞蓬蒿好高騖遠(yuǎn)C.哂笑自詡告馨倍道兼程D.輟學(xué)倩影消弭功虧一匱20下之盟。C.中國(guó)小說(shuō)史上多續(xù)書,但幾乎沒(méi)有一部續(xù)書的藝術(shù)質(zhì)量可以與原書相媲美,這是無(wú)庸置喙的。D.美國(guó)政府在臺(tái)灣問(wèn)題上的危言危行,只能搬起石頭砸自己的腳。5.下列各句使用了相同的修辭手法的一組是()A.蝴蝶也惜春歸去,網(wǎng)成殘紅不放飛。淚眼問(wèn)花花不語(yǔ),亂紅飛過(guò)秋千去。B.日出江花紅勝火,春來(lái)江水綠如藍(lán)。落紅不是無(wú)情物,化作春泥更護(hù)花。C.看萬(wàn)山紅遍,層林盡染。恨兩園落紅難綴。6.寫出下面歇后語(yǔ)的后半部分。例:雞啄螞蟻——正合適(食)(1)張果老的驢——______________(2)和尚分家——______________(3)和尚坐巖洞——______________(4)賣布不帶尺——______________(5)賣蝦米不拿秤——______________(6)紙做的欄桿——______________7.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(lái),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(wàn)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8.補(bǔ)寫出下列名句名篇中的空缺部分。(任選兩小題)(4分)⑴蓋文王拘而演《周易仲尼厄而作《春秋屈原放逐,_____________________;。錫《石頭城》)千古興亡多少事,悠悠。_____________________。(辛棄疾《南鄉(xiāng)子·登京口北固亭有懷》)8個(gè)字)東、中部、關(guān)西等地區(qū)8月4日的氣溫均在39.5攝氏度以上。靜岡縣4日正午的最高氣溫達(dá)39.8攝氏度以上。________________________________________________________________________________10.下列劃線成語(yǔ)使用正確的一項(xiàng)是:[刮目相看,批評(píng)起來(lái)總是毫不留情。]A.小李是廠長(zhǎng)的兒子,但張師傅并沒(méi)有因此對(duì)他B.他的那幅畫經(jīng)鑒寶專家證明了是贗品,昔日此畫千金不換,今日卻不名一文,真讓人感嘆。C.寫文章,一定要?jiǎng)h除沒(méi)有必要的繁文縟節(jié),講求行于所當(dāng)行,止于所當(dāng)止。D.受國(guó)際成品油價(jià)屢創(chuàng)新低的影響,一些民營(yíng)加油站率先調(diào)整了機(jī)動(dòng)車用油價(jià)格,一葉知秋,國(guó)內(nèi)油價(jià)普遍下調(diào)應(yīng)該是大勢(shì)所趨。]一整整一年呢?”門采爾很嚴(yán)肅地說(shuō):“倒過(guò)來(lái)試試吧,親愛的!”A.我想,你在賣畫上,用去了太多的時(shí)間。B.我總是用上整整一年的時(shí)間來(lái)畫一幅畫。C.親愛的,你在畫的創(chuàng)作上花的時(shí)間太少。D.用一年時(shí)間畫一幅畫,你就能心想事成。所稱代的對(duì)象不是“錢”的一項(xiàng)是[移。B.莼絲老盡歸不得,但坐長(zhǎng)饑須俸錢。此身不堪阿堵役,寧待秋風(fēng)始投檄。C.秀才竊喜,自謂暴富,頃之,入室取用,則滿室阿堵物皆為烏有,惟母錢十余枚寥寥尚在。D.顧長(zhǎng)康(顧愷之)畫人,或數(shù)年不點(diǎn)目睛。人問(wèn)其故?顧曰:四體妍蚩,本無(wú)關(guān)于妙處;傳神寫照,正在阿堵中。13.解釋下列詞語(yǔ)的含義。①乾坤:___________________________________________②醞釀:___________________________________________③扭轉(zhuǎn)乾坤:_______________________________________④不同凡響:_______________________________________[(2)我們生活得很幸福。(3)幸福來(lái)之不易。(4)幸福生活萬(wàn)年長(zhǎng)。改革是一項(xiàng)長(zhǎng)期而艱巨的任務(wù),不可能一蹴而就,要有不斷探索、不斷實(shí)踐的思想準(zhǔn)備。B.這次突領(lǐng)導(dǎo)不是從國(guó)家和集體的根本利益出發(fā),而是借機(jī)構(gòu)和人事改革之機(jī)結(jié)黨營(yíng)私,黨同伐異。16.對(duì)下面句子所采用的修辭方法和它的表達(dá)作用,理解正確的一項(xiàng)是()A滿頭是倔強(qiáng)得一簇簇直豎起來(lái)的頭發(fā),仿佛處處在告白他對(duì)現(xiàn)實(shí)社會(huì)的不調(diào)和?!\(yùn)用了比喻手法,表現(xiàn)魯迅先生倔強(qiáng)的性格,不屈的斗爭(zhēng)精神。B從陰山高處拖下來(lái)的深綠色的山坡,安閑地躺在黃河岸上,沐著陽(yáng)光?!\(yùn)用擬人手法,把陰山寫得恬美而有生氣,表現(xiàn)了陰山一帶和平、安寧、靜謐的氛圍。C山上有小屋,好比一望無(wú)際的水面飄過(guò)一片帆,遼闊無(wú)邊的天空掠過(guò)一只飛雁。——運(yùn)用比喻手法,表現(xiàn)了“風(fēng)帆”“飛雁”的美麗與生動(dòng)。D有缺點(diǎn)的戰(zhàn)士終究是戰(zhàn)士,完美的小蒼蠅終究不過(guò)是蒼蠅?!\(yùn)用了對(duì)偶手法,表現(xiàn)了對(duì)戰(zhàn)士的敬仰和對(duì)蒼蠅的鄙棄。17.根據(jù)下面文字的主要信息,給“微信”下個(gè)定義,不超過(guò)40分)年1月21日,微信正式推出,微信具有零資費(fèi)、跨平臺(tái)、拍照發(fā)給好友、發(fā)手機(jī)圖片、移動(dòng)即時(shí)通Wi-Fi,和4G2013年01月注冊(cè)用戶量已經(jīng)突破3動(dòng)即時(shí)通訊軟件。18.閱讀下面兩首詩(shī),完成1~2分)送沈子福之江東唐王維楊柳渡頭行客稀,罟師蕩槳向臨圻。惟有相思似春色,江南江北送君歸。柳枝詞宋鄭文寶亭亭畫舸系春潭,直到行人酒半酣。不管煙波與風(fēng)雨,載將離恨過(guò)江南。分)①這兩首詩(shī)都以分)②這兩首詩(shī)描繪了相似的情境,但感情基調(diào)并不完全相同,前者分)分),后者19.指出下列復(fù)句的類型。(1)老人們都玩得很開心,更不必說(shuō)孩子們了。(2)因?yàn)樗胸S富的知識(shí)做基礎(chǔ),所以他的課上得精彩。(3)縱然你不能親自來(lái),總應(yīng)該給我們打個(gè)電話吧。(4)你這樣做太慢了,還不如他那樣做來(lái)得快。(5)你這樣做不但不能解決問(wèn)題,反而會(huì)影響團(tuán)結(jié)。答:__________________________________________________20..補(bǔ)寫出下列名篇名句中的空缺部分(任選3題,多選則按前3分)。(柳,(4),三.英語(yǔ)題庫(kù)(共20題)1.Tomcouldhardlyunderstandyou,_____?A.couldheB.couldn'theC.couldn'tyouD.couldyou2.Whenyou'vefinishedschool,don'tforgettocomebacktovisityourschool,_____?A.willyouB.doyouC.haveyouD.won'tyou3.Itwasrainingheavily.LittleMaryfeltcold,soshestood___tohermother.A.closeB.closelyC.closedD.closing4.Dayslater,mybrothercalledtosayhewasallright,but_______saywherehewas.A.mustn’tB.shouldn’tC.wouldn’tD.mightn’t5.Itwaslackofmoney,notofeffort,_____defeatedtheirplan.A.whichB.a(chǎn)sC.thatD.what6.Itlive.A.rarelyB.fairlyC.ratherD.prettywasanicehouse,but_______toosmallforafamilyof7.Healthexpertshavelongworriedabouttheincreasingrateofobesityinkids.It’sanimportantconcern:Beingweightorobeseduringchildhoodcanleadtoseriousproblemsnormallyseeninadults,suchasdiabetesandhighbloodpressure.Poordietsandalackofexerciseareusuallythecauses.Butwouldyoueverhaveimaginedtheremightbeaconnectionbetweenthebacteriathatlivedinyourguts(內(nèi)臟)whenyouwereababyandthechancethatyouwouldbecomeoverweight?ScientistsinFinlandrecentlyfoundjustsuchalink.Inarecentstudy,theyshowedthatoverweightkidshaddifferentspeciesofbacterialivingintheirguts.Youprobablythinkofbacteriaonlyasgermsthatcanmakeyousick.Whileit’struethatsomebacteriacanmakepeopleill,yourbodyactuallydependsonsometypesofbacteriatohelpyoudigestfoodandextractnutrientsfromit.These“good”bacterialiveinyourguts,wheretheyprocessthefoodyoueat.Humanbabiesgetthesebacterialhelpersfromtheirmoms.Whenababyisborn,someofthebacteriainthemothermoveintothebaby’sbody.Growingbabiesgetadditional“good”bacteriafromthemilktheirmothersproduce.Anditturnsoutthebacteriamightplayanimportantroleinregulatingweightjustsixyearslater.Sohowcouldthesebacteriaaffectweight?Theresearchersstillhaven’ttestedthatquestion,butfuturetestsmightleadtoananswer.小題1:The“l(fā)ink”inParagraph2referstotherelationshipbetween_______.A.bacteriaandthechanceofbeingoverweightB.obesityanddiabetesC.dietsandthechanceofbeingandexercise小題2:WhichofthefollowingisNOTthefunctionof“good”bacteria?A.Helpingtodigestfood.B.Helpingtotakenutrientsfromfood.C.Helpingtoregulateweight.D.Makingapersonill.小題3:Thepurposeofwritingthispassageisto_______.A.introducetheroleofbacteriainchildren’sweightB.a(chǎn)nalyzetheinfluenceofobesityonadviceonhowtoloseweightthefunctionofbacteriainfoods8.YoucanneverimaginethedifficultyIhave_____yourhouse.9.Whatdoesitmeantosaythatweliveinaworldofpersuasion?Itmeansthatweliveamongcompetinginterests.Yourroommate’sneedtostudyforanexammaytakepriority(優(yōu)先)overpizza.Yourinstructormayhavegoodreasonsnottochangeyourgrade.Andtheobjectofyourromantic/inter-estmayhaveotherchoices.Insuchaworld,persuasionistheartofgettingotherstogivefairandfavorableconsiderationtoourpointsofview.Whenwepersuade,wewanttoinfluencehowothersbelieveandbehave.Wemaynotalwaysprevail—otherpointsofviewmaybemorepersuasive,dependingonthelistener,thesitu-ation,andthemeritofthecase.Butwhenwepracticetheartofpersuasion,wetrytoensurethatourpositionreceivestheattentionitdeserves.Somepeople,however,objecttotheveryideaofpersuasion.Theymayregarditasanunwelcomeinterruptionintotheirlives.Justtheopposite,webelievethatpersuasionisunavoidable—toliveistopersuade.Persuasionmaybeethical(合乎道義的)orunethical,selflessorselfish,inspiringordegrad-ing.Persuadersmayenlightenourmindorpreyonourvulnerability.Ethicalpersuasion,however,callsonsoundreasoningandissensitivetothefeelingsandneedsoflisteners.Suchpersuasioncanhelpusapplythewisdomofthepasttothedecisionswenowmustmake.Therefore,themostbasicpartofedu-cationislearningtoresisttheonekindofpersuasionandtoencourageandpracticetheother.Beyonditspersonalimportancetous,persuasionisnecessarytosociety.TherighttopersuadeandbepersuadedisthebedrockoftheAmericanpoliticalsystem,guaranteedbytheFirstAmendmenttotheConstitution(美國(guó)憲法).10.Accordingtothepassage,persuasionmeans________.A.changingothers’pointsofviewB.exercisingpoweroverotherpeopleC.gettingotherpeopletoconsideryourpointofviewD.gettingpeopletoagreewithyouanddowhatyouwant11.Theunderlinedwordinthesecondparagraph“prevail”means________.A.winspeakB.failD.listenC.12.Thepassagestatesthatsomepeopleobjecttopersuasionbecausetheythinkitis________.A.adangertosocietyC.unwelcomebehaviorB.difficulttodowellD.neversuccessful13.Thepassagemainlydiscusses________.A.howpeoplepersuadeB.whypeoplepersuadeC.thatpersuasionisbothgoodandbadD.thatpersuasionisimportantanditisallaroundus10.Ihadneitheracomputernornewspaper._____Idon'tknowthelatestnews.11.Weareearningmoremoney.Infactmostpeopleare_____thantheywerefiveyearsago.[]A.betteroffB.welloffC.badlyoffD.worseoff12.完型填空。Onedayafarmer'sdonkey(驢)felldownintoawell(井).Theanimalforhoursasthefarmercriedtriedtofinda12waytosavehim.Butfinallythefarmerdecidedtheanimalwastobe3andthewellneededupanyway,sothedonkeyjustwasn't45saving.allhisneighbourstocomeoverandhelphim.Theyallgrabbed(握He6起)ashovel(鐵鏟)andbegantoshovelintothewell.Atfirst,thedonkeyandcriedloudly.Then,toeveryone'ssurprise,hewas78whatwashappening9.Afewshovelloadslater,thefarmerlooked11.Witheveryshovelof10andwasshockedatwhat13ittoshoveldirtontopoftheanimal,hewouldshakeithedirtthat12hisback,thedonkeywasdoingsomethingamazing.Hewouldoffandtakeastepup.Asthefarmer'sneighborsoffandtakeanother1415oftheup.Prettysoon,everyonewassurprisedasthedonkeysteppedupovertheentrance16andranoff.Lifeisgoingtoshoveldirtonyou,allkindsofdirt.Thebestwayofofthewellistoshakeitoff17outandtakeastepup.Eachofour18isastepping-stone.Wecangetoutofthe2019wellsjustbynotstopping.giveup!Shakeitoffandtakeastepupward!()2.A.foolish)3.A.strong)1.A.sadly((()4.A.thrown()5.A.important)6.A.invited)7.A.water((()8.A.encouraged)9.A.noisy)10.A.down((()11.A.touched)12.A.attracted)13.A.shake((()14.A.decided)15.A.base)16.A.field((()17.A.holding)18.A.troubles)19.A.hottest((()20.A.AlreadyB.recentlyB.goodB.oldB.discoveredB.possibleB.refusedB.painB.suggestedB.quietB.aroundB.heardB.collectedB.burnB.continuedB.stationB.officeB.gettingB.speedsB.widestB.AlwaysC.easilyC.difficultC.healthyC.coveredC.necessaryC.allowedC.stoneC.realizedC.angryC.forC.sawC.movedC.takeC.stoppedC.stepC.houseC.pushingC.successesC.shortestC.NeverD.usuallyD.carelessD.powerfulD.kickedD.worthD.forbadeD.dirtD.regrettedD.ashamedD.afterD.tastedD.hitD.eatD.volunteeredD.breathD.wellD.pullingD.differencesD.deepestD.Often13.—DoremembertosendthelettertoTom.—Yes,_____.14.FivemillionpeoplevisitGrandCanyonintheUSeveryyear.ForthepurposeofhelpingprojectGrandCanyonforyourfellowvisitorsandfuturegenerations,pleasefollowtheguidelinesbelow.CampingToprojectthepark,campingisallowedonlywithinpermittedcampgrounds.PermitsarerequiredforovernightcampingattheNorthRim.Advancebookingcanbereceivedbymail.Pleasewrite:InformationCenter,P.O.Box129,GrandCanyon,AZ86023FiresBecauseoftheextremefiredanger,campfiresarenotallowedexceptatMatherandDesertViewcampgrounds.Collectionoffirewoodisnotallowedeither.Hiking(遠(yuǎn)足)Pleasestayonpermittedpaths.Otherwiseyoumaydestroydesertplants.Packoutwhatyoupackin,soyouleavenosignsofyourvisit.Itisimportanttokeepinmindthatyouareinanationalparkwherewildlifeexists.WeatherTheweatheratGramdCanyoncanchangeveryquickly.Withsomuchrock,lightning(閃電)causesaparticulardangerduringsuddensummerstorms.Thesestormsalsofrequentlybringfloodsinsidevalleys,adangertohikers.Watchtheskiesandcheckdailyweatherreports.WildlifeDonotfeedparkwildlife.TherehavebeenafewcasesatGramdCanyonNationalParkwheredeer(鹿)werepurposelyshotbecausetheyareplasticbagsthatleftthemsickandweak.HungrydeercanbedangerandhavekickedandbittenvisitorsatGrandCanyon.Someotheranimalswillalsobegandbite.Foryourownsafetyandthewell-beingoftheanimals,pleasedonotfeedwildlife,nomatterhowgentletheymayappear.小題1:WhatcanyoudofirstifyouwanttogothecampgroundsinadvanceC.MakesurenottomakeafireD.StopatMatherandDesertView小題2:Whatdotheunderlinedwords“packoutwhatyoupackin”inParagraph4probablymean?A.keepeveryoutofcampgroundsB.takeawayeverythingyoubringinC.carryallthenecessaryfoodafteryourpersonalbelongings小題3:WhyweresomedeerkilledonpurposeatGrandCanyon?A.Theyatewrongthingsandbecameveryill.B.Theywereadangertoothergentleanimals.C.Theybeggedfoodfromvisitors.D.Theykickedandbitvisitors.小題4:WhatisthemainpurposeoftheprovidetravelreportsomerecentteachtouristshikingskillsD.Tointroducethewildlife15.—CanIsitatthetable?—Sorry,butit_____already.A.wastakenB.hastakenC.hasbeentakenD.willbetaken16.—Mike,thephone'sringing.Doyouwantmetogo?—No,sitstill,_____.A.I'mabouttogetitB.I'mgettingitC.I'llgetitD.I'mtogetit17.—Haveyoumovedintoyournewapartment?—Notyet.Thebuilding_____now,sowehavetowaitanothermonth.A.isbeingpaintedB.hasbeenpaintedC.ispaintedD.waspainted18.Thereason_____herefusedtoattendthemeetingwasthattheydidn'tgivehimaninvitationearlier.19.—____?—Ihaveaverybadheadache.A.HowareyouB.HowdoyoudoC.What'swrongwithyouD.Areyouwrong20.Thesecretaryandprincipal________atthemeetingmakingaspeechD.haveaspeech第1卷參考答案一.數(shù)學(xué)題庫(kù)1.答案:D解析:取x=,則=1,=<1,p2正確當(dāng)x∈(0,)時(shí),()x<1,而>1.p4正確2.答案:設(shè)拋物線方程為y2=2px上,∴900=2p×40.∴p=454.∴p2=458.因此,光源到反射鏡頂點(diǎn)的距離為458cm.3.答案:C4.答案:B5.答案:C6.答案:∵AP=5,PC=3,DP=5由相交弦定理可得:BP=35又∵AB為直徑,∴∠ACB=90°∴BC=PB2-PC2=6∴AB=AC2-BC2=10故為:10O-ABC為BC為AD=OA2+OD2=12a+12×12(OB+OC)=12a+14(b+c)=12a+14b+14c,故為:12a+14b+14c.8.答案:根據(jù)對(duì)數(shù)函數(shù)的定義可知,真數(shù)3x+1>0恒成立,解得x∈R.因此,該函數(shù)的定義域?yàn)镽,原函數(shù)f(x)=log2(3x+1)是由對(duì)數(shù)函數(shù)y=log2t和t=3x+1復(fù)合的復(fù)合函數(shù).由復(fù)合函數(shù)的單調(diào)性定義(同増異減)知道,原函數(shù)在定義域R上是單調(diào)遞增的.根據(jù)指數(shù)函數(shù)的性質(zhì)可知,3x>0,所以,3x+1>1,所以f(x)=log2(3x+1)>log21=0,故選A.解析:試題分析M為線段AP的中點(diǎn)故6+2cosθ=x+122,2sinθ=y+02即x=4cosθy=4sinθ即x2+y2=16∴動(dòng)點(diǎn)P的軌跡C的方程為x2+y2=16的最小值為因?yàn)椋?+)2≤(12+12+12)(3x+1+3y+2+3z+3)=27.所以++≤3.解因?yàn)?12+22+32)(x2+y2+z2)≥(x+2y+3z)2=36,即14(x2+y2+z2)≥36,所以x2+y2+z2的最小值為.14分7分(2)11.答案:設(shè)四面體的內(nèi)切球的球心為O,則球心O到四個(gè)面的距離都是R,所以四面體的體積等于以O(shè)為頂點(diǎn),分別以四個(gè)面為底面的412.答案:本題可以采用抽簽法來(lái)抽取樣本,首先把該校學(xué)生都編上號(hào)001,002,112…用抽簽法做112中抽一個(gè)號(hào)簽,連續(xù)抽取10次,就得到一個(gè)容量為10的樣本.名學(xué)生中成績(jī)?cè)赱13,15](單位:s)內(nèi)的人數(shù)大約是0.2×1200=240.故為240.14.答案:函數(shù)解析式是解析:將函數(shù)進(jìn)行平移,使得到的圖形與拋物線的兩個(gè)交點(diǎn)關(guān)于原點(diǎn)對(duì)稱,試求平移后的圖形對(duì)應(yīng)的函數(shù)解析式.15.答案:作切線PE,由切割線定理知,PE2=PD?PC=PA?PB,所以PAPC=PAPB,又△PAD與△PBC有公共角P,∠PDA=∠PBC,所以△PAD∽△PBC.故PDPB=ADBC=12,即40PB=12所以PB=80,又AB=35,PE2=PA?PB=(PB-AB)?PB=(80-35)×80=602,PE=60.故選A.16.答案:∵參數(shù)方程x=1+cosθy=sinθ∴圓的方程為(x-1)2+y2=1∴定點(diǎn)A(-1,-1)到圓心的距離為5∴與定點(diǎn)A(-1,-1)的距離的最小值是d-r=5-1故為5-117.答案:因?yàn)閍=(2,2m-3,n+2),b=(4,2m+1,3n-2),且a∥b,根據(jù)空間向量平行的坐標(biāo)表示公式,所以24=2m-32m+124=n+23n-2,解得:m=12,n=6.故為:m=12,n=6.18.答案:AD?BC=AB+AC2?(AC-AB)=AC2-AB22=1-42=-32,故為:-32.19.答案:集合{1,2,3}的真子集有?,{1},{2},{3},{1,2},{1,3},{2,3}共7個(gè).故選B.20.答案:由圖知運(yùn)算規(guī)則是對(duì)S=2S,故第一次進(jìn)入循環(huán)體后S=21,第二次進(jìn)入循環(huán)體后S=22=4,第三次進(jìn)入循環(huán)體后S=24=16,第四次進(jìn)入循環(huán)體后S=216>2012,退出循環(huán).故該程序運(yùn)行后輸出的結(jié)果是:k=4+1=5.故為:522.答案:A23.答案:∵M(jìn)={直角三角形},N={等腰三角形},∴M∩N={直角三角形且等腰三角形}={等腰直角三角形}故為{等腰直角三角形}24.答案:A25.答案:B二.語(yǔ)文題庫(kù)1.答案:D解析:“上行下效”用于壞的風(fēng)氣?!翱昭▉?lái)風(fēng)”比喻消息和傳說(shuō)不是完全沒(méi)有原因的?!安磺橹?qǐng)”不合情理的請(qǐng)求。提出請(qǐng)求時(shí)用的套語(yǔ)。是一個(gè)自謙之詞?!翱平膛d國(guó)”通過(guò)發(fā)展科學(xué)和教育來(lái)振興國(guó)家。3.答案:C4.答案:A解析:“空中飛人”①在高空表演的高難度雜技動(dòng)作。②港臺(tái)用語(yǔ),指因工作、求學(xué)、從商等需要而經(jīng)常坐飛機(jī)來(lái)往各地的人。③戲稱頻繁更換工作崗位的人。這里顯然是使用的③。“城下之盟”指在敵方兵臨城下時(shí)被迫簽訂的屈服的和約。“無(wú)庸置喙”指不容插嘴。“危言危行”指講正直的話,做正直的事。與文意不符。5.答案:A解析:兩句都使用了擬人手法。(2)多事(寺)(3)沒(méi)事(寺)(4)存心不良(量)(5)抓瞎(蝦)(6)不能依(倚)靠7.答案:A8.答案:⑴乃賦《離騷》左丘失明⑵潮打空城寂寞回淮水東邊舊時(shí)月⑶商女不知亡國(guó)恨解析:無(wú)不盡長(zhǎng)江滾滾流9.答案:熱浪襲擊日本10.答案:D11.答案:C12.答案:D14.答案:A15.答案:C解析:“一蹴而就”踏一步就成功。比喻事情輕而易舉,一下子就成功?!笆煲暉o(wú)睹”看慣了就象沒(méi)看見一樣。也指看到某種現(xiàn)象,但不關(guān)心,只當(dāng)沒(méi)有看見。“沆瀣一氣”比喻意趣投合的人勾結(jié)在一起。貶義?!包h同伐異”指結(jié)幫分派,偏向同伙,打擊不同意見的人。16.答案:B項(xiàng)表現(xiàn)的不是“風(fēng)帆”和“飛雁”而是山上小屋動(dòng)感和靈性;D是對(duì)比不是對(duì)偶。17.答案:微信是騰訊開發(fā)的亞洲地區(qū)用戶最多的功能強(qiáng)大的免費(fèi)即時(shí)通訊軟件。解析:試題分析:18.答案:集中:1.①(2分)送別(離別)楊柳②(2分)王詩(shī)以新奇的比喻,把無(wú)形的惜別之情比作眼前無(wú)處不在、無(wú)邊無(wú)際的春色(1恨”,化為可以運(yùn)載的有形有量之物(1愁的深重(1解析:集中解析《送沈子福之江東》解析王維大約在開元二十八、二十九年(740、741)知南選,一處。沈子福,不詳。長(zhǎng)江從九江以下往東北方向流。江東,指長(zhǎng)江下游以東地區(qū)。看詩(shī)題和頭兩句的意思,這詩(shī)當(dāng)是作者在長(zhǎng)江上游送沈子福順流而下歸江東之作。渡頭是送客之地,楊柳是渡頭現(xiàn)成之景。唐人有折柳送行的習(xí)俗。這里寫楊柳,不僅寫現(xiàn)成之景,更是烘托送別氣氛。行客已稀,見境地的凄清,反襯出送別友人的依依不舍之情。第一句點(diǎn)明送別之地。第二句醒出“歸江東”題意。罟(gǔ古)師,漁人,這里借指般夫。臨圻,當(dāng)指友人所去之地。友人乘船而去,詩(shī)人依依不舍,望著大江南北兩岸,春滿人間,春光蕩漾,桃紅

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