g(x).g(e)=>0,g()在Le、e」时8（)em,则(2)正当这个时候。一加，解得是、国、莫)14.①胸怀大度，不计之道义，教君王于整理得/【参考译文】头人论，主要用于中传烧文化中的太C.面BMN截正方体所得截面为等腰梯形绍勃经常还毁、衍生原凰数列中的每一项，都代天极衍生过程中曾经经历过的两仪数量总和，其中一数列如D.三棱锥P-MNB的体积为竟然在朝廷上被您引.大衍数列来源于（乾帅谱）中对易一按此规律得到的数列记为a,,其前项和为S,给出以下12已知双曲线C着一苦-1，P是该双商线心上任意-点R开，是其左，右熊点则下列设法正确来就对不是它主人台了打起来，徐了的骑人的狗，难道只是+1(m>1且n∈N).的是,就把他推荐给心86是数列1a.中的一项：齐襄王有九个①a-1=2nTy为”为奇数时，S该双曲线的新近线方程为y一士气分这⊙者向楚王表示B.若1PF21=8,则1PF,1=1?③a1=480/C若△FPF,是直角三角形，则满足条件的P点共&化出使到楚国，是其中正确结论的个数是C.2一个普通的貂7已知正三锥A-BCF和正四唯A-BCDE的所有棱长均为1，如D若点P在双曲线的左支上，则以P为直径的圆与以实轴为直径的圆外切年况且安君图，将三锥ABCF的一个面和正四棱锥A-BCDE的一个侧面重三、填空题：本题共4小题，每小题5分，共20分.合在一起，即面ABC,得到一个新几何体，则下列关于该新几何体13.已知in(a-)+sinB=0,sina+cosa=13,sin B+cos cos (a-B)百姓，安抚:结交诸侯2日单。”田说法错误的是A.AF∥BERAF⊥DE714.党的千大提出“实施科教兴国战略，强化现代化建设人才支撑”的战略部署，为了响应报告精色：“您对神，某城区“名校"6名教师主动申请到某贫困山区的乡村小学支教，若将这6名教师公肥到该山,从楚国区的3所乡村小学，每所学校至少分配1人，则不同的分配方案的总数为,V0文王得C新几何体为三棱柱单。&.已知函数/x)=e-ax一2在区间（一1，内存在极值点，且f(x)十10)的集点为F,过点F的直线1与抛物线交于A,B两点，且)AF131BF1=6,设点M是抛物线C上的任意一点，点N是抛物线C的对称轴与准线的交点，则更大遗留数解，则实数a的取值范围是&2MN的最大值为MA[,。号Ue-1.enUc1.216.已知函数f(x)=2x十6,函数g(r)工-m,若对任意的x1∈[1,3]，存在x,∈[。e门，二、多项选择题：本题共4小题，每小题5分，共20分.在每小题给出的选项中，有多项符合题目要C.(e-1,e）使得f(x)≤g(x2),则实数m的取值范围为求，全部选对的得5分，部分选对的得2分，有选错的得0分四、解答题：本题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤，17.(本小题满分10分)9.已知x,y∈R,且>1>0，x十y=4,则下列不等式中一定成立的是已知数列{a,}是等差数列，{b.}是等比数列，且b,=4,b,=8,a1=b1,2a。十2=b(1)求数列{an),{b.}的通项公式；A.>y0(2)设cn=(a+1)bn,数列{cn}的前n项和为S.,求SC.x2+y2>4x+4y-8D++y>4210.已知函数f(x)=cos(2看)。>0)的最小正周期为，将∫(x)的图象向左移石个单位长度，再把得到的曲线上各点的横坐标伸长到原来的2倍（纵坐标不变），得到函数g(x)的图象，则18.(本小题满分12分)下列结论正确的是Xg(0)=0,U7)B8)在[0，]上单调递增人已知锐角△ABC的内角A,B,C的对边分别为a,b,c,S为△ABC的面积，且22S·sinB=b2sin A.Cg()的图象兴于直线x=一对称D.g)在[-2]上的最大值是2(1)求C的大小；1L.如图，在棱长为2的正方体ABCD-A,B,CD,中，M,N,P分别是CD,(2)若c=2,边AB的中线CD=√3，求a,b的值，GC,AA的中点，则P001JMC0,1,2)A.M,N,B,D,四点共面Uo,2,B.异面直线PD,与MN所成角的余弦值水3(u2w四91L010,【2023高考冲刺试卷（六）·数学第3页（共4页）】【2023高考冲刺试磨（六）·数学第2页（共4页）】

参考答案19.解：(1)由题意可知DA⊥底面ABE,BEC底面若投资光刻胶项目，设收益率为a2,则α2的分布ABE,故BE⊥DA,列为又BE⊥AE,AE∩DE=E,AE,DEC面AED,a20.30.20故BE⊥面AED,由AFC面AED,得AF⊥BE,P0.40.10.5又AF⊥DE,BE∩DE=E,BE,DEC面BED,故所以E(a2)=0.3·0.4十（一0.2）·0.1十0·0.5=AF⊥面BED,由DBC面BED,可得AF⊥DB.0.1.(2)①由题意，以A为原点，在底面圆内过点A作因为投资以上两个项目，获利的期望是一样的，AB的垂线作为x轴，以AB,AD所在直线为y轴、之所以0.4p-0.1=0.1.所以p=21轴建立如图所示空间直角坐标系，国为Da1)=(0.3-0.1)2·号+(-0.1-0,12：2=0.04,D(a2)=(0.3-0.1)2·0.4+(-0.2-0.1)2·0.1+(0-0.1)2·0.5=0.03,所以E(a1)=E(a2),D(a1)>E(a2),这说明光刻机项目和光刻胶项目获利相等，但光刻并设AD的长度为2，则A(0,0,0),B(0,2,0),C(0,胶项目更稳妥，2,2),D(0,0,2),综上所述，建议该风投公司投资光刻胶项目.因为DA⊥面ABE,所以∠DEA就是直线DE与（24=1+2+3+4=2.5.面ABE所成的角，4所以a∠DEA-是=2，y=2+3+5+6=4.4所以AE=1,24y:=1…2+2·3+35+46=47,所以(0小=12+22+32+42=30,由以上可得DC=(0,2,0),DE=则62,4四47-4×2.5×41.4设面DCE的法向量为n=(x,y,之)，则-4230-4×2.521n·DC=0,/2y=0,a=y-6μ=4-1.4×2.5=0.5，即{n·DE=02x+2y-2=0,故经验回归方程为y=1.41十0.5.设该公司在芯片领域的投资收益为Y,则Y=0.1·取x=4,得n=(4,0,W3).(1.4μ+0.5)≥0.75，解得≥5，又m=(1,0,0)是面BCD的一个法向量，故在2023年年末该投资公司在芯片领域的投资收所以cos〈m,n〉=m·n11×4+0×0×W3益可以超过0.75亿元.m·n1X√42+0+32a=4/a=2=4I9119121.解：(1)由题意知2·2c·b=3,解得b=√3，故椭又由图形可知二面角E一DC一B为锐角，所以它的a2=b2+c2c=1余弦值为4⑨19·思C的方根为+2=1.②因为BE=-y=kx+m(2)由{x2y2,得(4k2+3)x2+8kx+4m2-12(4+3=1所以，点B到面CDE的距离d=BE.nn=0.1×4+(-因为动直线1与椭圆C有且只有一个公共点M(x0,2)×0+0×32257y0),所以m≠0且△=0，√42+0+319即64k2m2一4(4k2+3)(4m2一12)=0，化简得4k2一20.解：(1)若投资光刻机项目，设收益率为a1,则a1的m2+3=0.(￥)分布列为此时x0=4km10.30.14k2+3m1-p所以E(a1)=0.3·p十（-0.1)·(1-)=0.4p由/40.1.y=kx+m,得N(4,4k+m).·35·

令80=ln1-1+1(>0),则g0=1-1=1-tt当t∈(0,1)时，g'(0>0;当t∈(1，+∞)时，g'()

到来。之所以派遣将领把守函谷关，是为了防备其他盗贼进来和 意外的变故。我日夜盼望将军到来，怎么敢反叛呢？希望您全部 告诉项王我不敢背弃恩德。”项伯答应了。 (乙) 沛公从雒阳向南穿过轩辕山时，张良率兵跟随沛公。沛公打 算率领两万人马去攻击哓关的秦军，张良劝说道：“秦军还很强大， 不可轻视。我听说他们的将领是屠户的儿子，买卖人容易用利益 来动摇。希望沛公暂且留守军营，派人先出发，替五万人准备粮 食，再在各山头张挂很多旗帜，作为疑军，然后派郦食其带着贵重 的宝物去收买秦国守关的将领。”秦军的将领果然反叛，打算和沛 公军队联合，一起向西袭击咸阳，沛公想听从他的意见。张良说： “这只是他们的将领想反叛罢了，恐怕士兵们不会听从。如士兵不 听从就一定会有危险，不如趁他们懈怠时去袭击他们。”沛公于是

Collins English Dictionaryupcoming adventure.At the cutting edge of language change,Collins English Dictionary offers you all the latest wordsIn January 2017cutuneur fingertips.Whether for study,at work,or on the go,youtraining on the orgar在洛spellings,look up meanings and words you need,every day.Mwanza and instanAuthor:Harper Collinsassisted in the runpPrice:$25.99club.Robin was paat making the locaPaperback:1920 pages“That experiAmazon Bestsellers Rank:606,427 in Books.What is special about O ford Advnced Learners Dictionary?more away frommany of the connA.It gives useful example sentences.5.What can weB.It is cheap and at the same time good.A.She is a veC.It is recommended by teachers and studesB.She knewD.ItisqipethordiSpeaker and WrC.She had vo2.What do we know about Longman Handy Learners Dictionary?D.She enjoyA.It's the cheapest of the four dictionaries.6.How doesFbecause itA.By evaius the toolsB.It's helpful to improve your pronunciation.C.It's great for students to prepare for exams.B.By offernake it theD.It's the only choice for American English learnersC.By cond3.You will probably look upa newly created word inD.By estiA.Orford Advanced Learners Dictionary7.The GirlsB.Longman Handy Learners DictionaryA.stay coC.Cambridge Advanced Learners DictionaryC.becomD.Collins English Dictionary8.What ca4.In what order are the dictionaries listed?A.She'sAmerica.A.The thickness of the dictionaries.B.Theis greatB.The prices of the dictionaries.C.EquC.The Amazon ranks of the dictionaries.D.SheD.The functions of the dictionaries.Passage 2Robin was a recent graduate of St.Lawrence College with a diploma in Social Service Work whenThshe discovered the international volunteer opportunities offered by EQWIP HUBs,which she'd neverlittle kiworked with before.An active volunteer in high school,having been awarded the LieutenantWto theds fromGoveCommunityVolunteer Award for her hard work voteeringwith local no-profitandcharities(Robin knew the mporance of chosingavoer oranization that fits her values.such aThe EQWIP HUBs project interested Robin,sheerapplied.After appyingRobinmeanperfectwent throughentrafter anotherwth the reruimnt)team to find theright voteerher Vene&Ten线W别保是expeEQWIPTbanchWithin the follwing mnth,she completedmanymadandnomiohboth Canadiana Tani prepare herself for er【高考专题突破卷·英语（仁）第2页（共6页）】

of bamboo weaving iscan15 together even witnoer remaining in Peitian.第22期B版测试题听力原文small,common dish for people,b略第22期B版测试题参考答案for our family.21-25 CACCB26-30 CDCBBFrom my father,I 17 the jc31-35 DDCBC36-40 DCAFGright meal for someone you love41-45 DBCAB46-50 CDADCto us visitors.Tired but51-55 BADCB56-60 ADCABthat I hoped to pass on to my mo61-70(One possible version)at our kitchen table,reading this61.in62.honouringake a bath,I went to bed63.funniest64.safetythat would have seemed laugha65.to deliver66.itother time in life.67.whichHangzhou!68.Designed69.are invited70.personally1.A.similarlyB短文改错(One possible version)C.efficientlyLast Saturday,a regular customer of ourrestaurant showed up.After dinner,he asked2.A.collect,询问你校环保活动的the entire staffs to come to the dining area.C.designBDstaffHe thanked everyone for work hard during3.A.readingBworkingC.drawingthis difficult time.Then something amazed4.A.illBamazinghappened.He gave each us $100 as a rewardC.neededDofBfor our good service.That he did and said5.A.forgivenessWhatC.paymentDgreatly surprised us.Usual,I am not an6.A.convenienceBUsuallyemotional man,but this thing was really movedC.comfortme.Though we finally refused his money,hisact of kind really brightened our day.They7.A.recoveringkindnessWeC.communicatingall appreciated this generous customer anddecided to serving more people wholeheartedly8.A.anxious B.generousserve9.A.though书面表达(One possible version)C.eitherLast week,there was an activity with thetheme of Healthy Eating in our school.Many10.A.admitninese stories in English sostudents didn't attach importance to eating:sional teacher will introducethey either skipped breakfast or had too muchC.returnfast food.The activity ws held to help students11.A.teachcalligraphy,Peking opera,realize the importanceof healthy eating.On the first day,thete was a lecture in theC.convincecreate traditional artworks.school hall,during which the speaker told12.A.looked for00 pm.You can visit ouruswhat a healthy diet s and how to keep it.m the lessons.On the second day,voeerfor the activityC.turned todelivered bocrs aof heanteen,13.A.paged throughYours,aiming to encourage sudents toeat healthyC.came acrossLiHuafood.考答案见下期B版中缝衡)The activitygained t popularity among14.A.interestingus.bdned bouaydiet and helpdusoayting habit.C.wonderful

答案C 解题分析A依据第二段，汉字从甲骨文到金文，再发展到篆 体，其表意逐步从具体到抽象。B汉字起源就是对事物的模拟书 写，相关原文为“即使在甲骨文时期，汉字也是对事物概括性很强 的模拟书写”，没有“发展到甲骨文，演变成对事物的模拟书写”之 意。D依据原文，上、外、左均代表阳、刚、实，下、内、右均代表阴、 柔、虚。

八个的，如《春风呵，把“亲切温存的细语”送到塔拉斯耳边》。标题 的句式有单句的，以七言诗式的居多，有偶句的，还有三个句子的， 如《哪有闲情话年月》《顽猴探头树枝间，蟠桃那有灵枣鲜？》《话当 年，咫尺天涯，见时不易别更难！》等。值得注意的是，这些标题注 意了仄相间，和谐押韵，读来朗朗上口，听来金声玉振。绝大部 分标题是情景交融、诗情画意、含蓄蕴藉的，既点出了“文眼”，又深 化了主题。 (摘编自松石《试论曹靖华散文的语言美》) 7.下列对文本相关内容和艺术特色的分析鉴赏，不正确的一项是 (3分) A.文本一作者善用比喻，如用一枚刚出土即猛然落入金光耀目 的十里洋场的土豆来比喻“土气”的自己，新颖贴切，对比鲜 明。

willhe old thtisto the IS5 as part ofa deal made withAaould be theth Dipnet ofa dentadA.Adapt to the nepassengers would be the winner of a new reality-show competition called "Who Wants to be anm器se"0deC.Socialize with obetween reality Tv and space flight is attitudes toeebosses34.What does Carol Ccontrollers prefer noneA.Intelligent peo28.What does the underlined phrase"sealed the deal"inwant lots.MissionB.Friendship givA.Got this done.C.Work countsC.Broke them up.D.Life in high-p29.What is Jared Isaacman's goal of space travel?B.Made a mess of it.35.Which of the folA.FriendshipsA To be,a billionaire.D.Reached agreement.C.To advertise the company SpaceX.To show off his possessions.B.Friendship mC.Friendship30.What is included in Jared Isaacman's schedule of space travel?D To provide help for sick childrenD.Keep a distA.Visiting the International Space Station第二节（共5小题C.Meeting three astronauts in person.B.Orbiting the earth for about three days.根据短文内31.What can we learn from the last paragraph?D.Redefining the“space line'”,What do naA.Space is inaccessible to common people.glass as half fulB.There is money to be made from space tourism.They try,nearly impossiC.Reality-show competition tends to attract a wide audience.the pessimists.D.Reality-show in space put other TV programs in the shadehave thrownDThey speIt might seem obvious that,for most people,happiness is positively connected with friendships.a yearlong stBut a paper published last month in the British Journal of Psychology found one striking exception:their partneExtremely intelligent people become less happy when they spend more time with their friends.Odds are,tResearchers used evolutionary psychology to explain why some people are happier than others.They sThey theorized that situations that led to positive consequences for our ancestors would also boostincluding lohappiness today.believe thPeople who live in rural areas tend to be happier than those in urban areas,they argue,becauseapproachaour ancestors lived in groups of 150 people and struggled to maintain cooperation and interaction in-larger groups.Living in larger groups could then create feelings of unease and discomfort.When thMeanwhile,friendships could be key to happiness because our ancestors relied on suchwords orelationships to overcome hunting challenges and share childrearing(抚养孩子)duties..have aBut,the researchers suggest,these rules would not hold for extremely intelligent people,whowould have less difficulty living in high population areas and not associating with friends.A.TheOf course,we're no longer living in the same circumstances as our ancestors,thanks to theBThwonders of technological advancement.And the researchers argue that more intelligent people simplySohave less trouble adapting to our new reality.Those with higher IQshave less of a need to rely on ourD.it'ancestral hunting and childrearing networks,and can adjust to life in high-population environments.E.YBut the researchers'theory is not the only explanation for such findings.Carol Graham,aOBrookings Institution researcher who studies the economics of happiness,told the Washington Post6.Athat she had a slightly different interpretation.More intelligent people "are less likely to spend so第三much time socializing because they are focused on some other longer term objective,"she said.In other words,work is so important to them that they don't have time to waste with并32.Who tend to be happier according to the paper published last month?friendships.B.Socially-connected people.oveA.Ancient people.D.Extremely intelligent people.avaC.People living in rural areas.33.What are people with higher IQs unwilling to do?【2022届高三模拟卷，英轨

【注①龙颜君：汉高祖刘邦。②“千金”二句：韩信少贫，有漂 母见其饥，哀而饭之。后信为楚王，报以千金。③羁绁：用绳子拴 住。④欂：架鹰的皮袖套。 14.下列对这首诗的理解和赏析，不正确的一项是(3分) A.开篇写韩信当年在准阴甘心受辱，并非没有志气，而是为了 使自己的雄心壮志将来有所施展 B.诗人认为韩信得遇高祖，方能叱咤风云，拜将封侯，借此自然 引出诗人对自己当时处境的感慨。 C.“摧残槛中虎，羁绁搆上鹰”，是说老虎被摧残，苍鹰受束缚，诗 人以此隐喻自己的志向无法实现。 D.这首咏史诗融叙事、议论、描写和抒情于一体，意境悲凉激 越，语言实无华，通俗易懂。