江苏省苏北四市2020届高三英语第二次质量检测(2020苏北四市二模)

江苏省苏北四市2024届高三第一次调研测试物理试题一、单选题：本题共7小题，每小题4分，共28分 (共7题)第(1)题2022年9月国家原子能机构展示了近年来核技术在我国国民经济领域的重大应用成果。

其中医用同位素镥177的自主可控及批量生产入选。

该成果破解了多年来我国对其大量依赖进口的局面。

镥177的半衰期约为6.7d，衰变时会辐射射线。

其衰变方程为，下列说法正确的是（ ）A．该反应产生的新核比的比结合能小B．衰变时放出的X粒子的穿透性比γ射线强C．衰变时放出的X粒子来自于177内中子向质子的转化D．含有镥177的药物经过13.4d后，将有四分之一的镥177发生衰变第(2)题100年前，卢瑟福猜想在原子核内除质子外还存在着另一种粒子X，后来科学家用粒子轰击铍核证实了这一猜想，该核反应方程为：，则（）A．，，X是中子B．，，X是电子C．，，X是中子D．，，X是电子第(3)题2022年6月23日，东北首座核电站辽宁红沿河核电站全面投产，成为国内在运的最大核电站。

在该核电站的核反应堆中，中子轰击重核铀发生裂变反应，释放出大量核能。

已知一个裂变时能释放200MeV的能量，阿伏加德罗常数，则1kg的铀完全裂变释放的能量（ ）A．B．C．D．第(4)题下列说法正确的是（ ）A．漂浮在热菜汤表面上的油滴，从上面观察油滴呈球形，这是油滴呈各向同性的缘故B．密闭有空气的薄塑料瓶因升温而膨胀，此过程中外界对其做功C．氢原子的能级是不连续的，辐射出的光子能量也是不连续的D．γ射线是原子核衰变过程中受激发的电子从低能级向高能级跃迁时发出的第(5)题图示平面内固定两个等量异种点电荷，M、N两点关于两电荷的连线对称，M、P两点关于两电荷连线的中垂线对称。

下列说法正确的是（ ）A．M、P两点的电场强度相同B．N、P两点的电场强度相同C．N、P两点的电势相等D．电子在M点的电势能比在N点的大第(6)题2020年5月5日，长征五号B运载火箭在中国文昌航天发射场成功首飞，将新一代载人飞船试验船送入太空，若试验船绕地球做匀速圆周运动，周期为T，离地高度为h，已知地球半径为R，万有引力常量为G，则（）A．试验船的运行速度为B．地球的第一宇宙速度为C．地球的质量为D．地球表面的重力加速度为第(7)题如图所示，真空中A、B、C三点的连线构成一个边长的等边三角形，AD为BC连线的中垂线，D为BC连线中点。

苏北四市2012届高三年级模拟考试数学I一、填空题1. 设集合2{0,1,3},{1,2}A B a a ==++，若{1}A B = ，则实数a 的值是________.2. 已知复数z满足(1)1i z +=(i 是虚数单位),则||z =________.3. 某校高一、高二、高三学生共有3200名,其中高三800名,如果通过分层抽样的方法从全体学生中抽取一个160人的样本,那么应从高三的学生中抽取的人数是________.4. 箱中有号码分别为1,2,3,4,5的五张卡片,从中一次随机抽取两张,则两张号码之和为3的倍数的概率是_________.5. 右图是求函数值的程序框图,当输出y 值为1时,则输入的x 值为______.6. 已知棱长为3的正方体1111ABCD A B C D -中,P ,M 分别为线段1BD ,11B C 上的点,若112BP PD =,则三棱锥M PBC -的体积为________. 7. 已知双曲线2222:1(0,0)x y C a b a b-=>>的右顶点,右焦点分别为A,F ,它的左准线与x轴的交点为B ,若A 是线段BF 的中点,则双曲线C 的离心率为______. 8. 如图,已知A,B 是函数3sin(2)y x θ=+的图像与x 轴两相邻的交点,C 是图像上A,B之间最低点,则AB AC ⋅=_________.9. 设直线y=a 分别与曲线2y x =和x y e =交于点M,N ,则当线段MN长取得最小值时a的值为________.10. 定义区间[,]a b 的长度为b a -,用[]x 表示不超过x 的最大整数.设()[]([])f x x x x =-,()1g x x =-,则02012x ≤≤时,不等式()()f x g x ≤的阶级区间的长度为_________.11. 已知集合2{|(1),}A x x a a x a =+≤+∈R ,a ∃∈R ,使得集合A 中所有整数的元素和为28,则a 的范围是__________.12. 已知等差数列{},{}n n a b 的前n 项和分别为n S 和n T ,若7453n n S n T n +=+,且2n n a b 是整数,则n 的值为__________.13. 在平面直角坐标系中,已知点(1,2),(4,0),(,1),(1,1)A B P a N a -+,则当四边形P ABN 的周长最小时,过三点A,P ,N 的圆的圆心坐标是__________.14. 已知ABC ∆的三边长a,b,c 成等差数列,且22284a b c ++=,则实数b 的取值范围是__________.OA Bxy第8题图二、解答题15.(本题满分14分)已知函数()sin()sin()cos ()44f x x x x x x ππ=+-∈R . (1) 求()6f π的值;(2) 在ABC ∆中,若()12f π=,求sin sin B C +的最大值.16.(本题满分14分)如图,已知正方形ABCD 和直角梯形BDEF 所在平面互相垂直,1,2BF BD EF BF BD ⊥==. (1) 求证:DE ∥平面ACF ; (2) 求证:BE ⊥平面ACF .A BCDEF如图，在C 城周边已有两条公路12,l l 在点O 处交汇，且它们的夹角为75.已知OC km =,OC 与公路1l 的夹角为45.现规划在公路12,l l 上分别选择A,B 两处为交汇点(异于点O )直接修建一条公路通过C 城.设OA xkm =,OB ykm =.(1) 求y 关于x 的函数关系式并指出它的定义域; (2) 试确定点A,B 的位置,使OAB ∆的面积最小.18.(本题满分16分)如图,已知椭圆C 的方程为2214x y +=,A,B 是四条直线2,1x y =±=±所围成的矩形的两个顶点. (1) 设P 是椭圆C 上任意一点,若OP mOA nOB =+,求证:动点(,)Q m n 在定圆上运动,并求出定圆的方程;(2) 若M,N 是椭圆上两个动点,且直线OM,ON 的斜率之积等于直线OA,OB 的斜率之积,试探求OMN ∆的面积是否为定值,并说明理由.1l 2若函数()f x 在(0,)+∞上恒有'()()xf x f x >成立(其中'()f x 为函数()f x 的导函数),则称这类函数为A 型函数. (1) 若函数2()1g x x =-,判断()g x 是否为A 型函数,并说明理由; (2) 若函数1()3ln ah x ax x x-=---是A 型函数,求函数()h x 的单调区间; (3) 若函数()f x 是A 型函数,当120,0x x >>时,证明1212()()()f x f x f x x +<+.20.(本题满分16分)已知各项均为正整数的数列{}n a 满足1n n a a +<,且存在正整数(1)k k >,使得1212k k a a a a a a ++⋅⋅⋅+=⋅⋅⋅⋅⋅⋅,*()n k n a k a n +=+∈N(1) 当1233,6k a a a =⋅⋅=时,求数列{}n a 的前36项的和36S ; (2) 求数列{}n a 的通项n a ;(3) 若数列{}n b 满足81121()2n a n n b b -+=-⋅,且1192b =,其前n 项积为n T ,试问n 为何值时, n T 取得最大值?EODCBA苏北四市2011-2012学年度高三第一次质量检测数学Ⅱ（附加题）21.【选做题】本题包括A 、B 、C 、D 四小题，请选定其中两题，并在答题卡指定区域内作答．．．．．．．．．．．．．．．．．．．．， 若多做，则按作答的前两题评分。

第08讲句子成分+句子种类+句子种类长难句（模拟精练+真题演练）用单词的适当形式填空1.(江苏省苏北四市2023年高三调研测试) A paper published in the journal Trends in Plant Science details how plants are rapidly adapting to the effects of climate change, and how they are passing down these adaptations to their offspring(后代).【分析】本句是复合句。

主干A paper details.how引导宾语从句，published in the journal Trends in Plant Science为过去分词短语作后置定语。

and连接两个并列的宾语从句.【句意】发表在《植物科学的趋势》杂志上的一篇论文详细描述了植物是如何快速适应气候变化的影响的，以及它们是如何将这些适应能力传递给它们的后代（后代）的。

2.(2023届河北省名校联考一模)To help resolve this issue, scientists have been trying to learn why species become endangered.【分析】本句是复合句。

连词why引导宾语从句，充当动词learn的宾语，不定式短语to help resolve this issue作目的状语，谓语使用现在完成进行时。

【句意】为了帮助解决这个问题，科学家们一直在试图了解为什么物种会濒临灭绝。

3.(2023届广东省广州市统考试题)When put to tests, bees have long proved that they’ve got a lot more to offer than pollinating (授粉) , making honey and being loyal to a quee n.【分析】本句是复合句。

徐州、淮安、宿迁、连云港四市2022-2023学年度高三年级第一次调研测试英语试题注意事项：1. 答卷前，考生务必将自己的姓名、考生号、考场号、座位号填写在答题卡上。

2. 回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其他答案标号。

回答非选择题时，将答案写在答题卡上，写在本试卷上无效。

3. 考试结束后，将本试卷和答题卡一并交回。

第一部分听力(共两节，满分30分)做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节(共5小题;每小题1.5分，满分7.5分)听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1.What does the girl like about her parents?A. They are strict.B. They are rich.C. They are caring.【答案】C【解析】【原文】M:We can’t afford to give you a lot of money because we don’t have high-paying jobs, but you must always know that your mother and I are very caring when it comes to helping you.W:I know-and that is what I like about you.2.How much does the keyboard cost now?A. $40.B. $50.C. $20.【答案】A【解析】【原文】W:Pardon me, what is the price of this keyboard? Is it on sale?M: It is usually fifty dollars, but it is twenty percent off until the 15th of this month.3.Why does the boy refuse the girl’s offer?A. He has a doctor’s appointment.B. He needs to go to see his family.C. He has been to the beach before.【答案】B【解析】【原文】W:I have to go to the doctor’s office right after school. If you want to go to the beach when I’m done,we can meet up there later.M:I have to go to dinner with my parents later.Sorry.4.What are the speakers doing?A. Making dinner.B. Ordering some food.C. Shopping for a party.【答案】B【解析】【原文】M: What are you going to order? I’m thinking of getting the noodle s.W: Why not try something else? Their Italian dishes are good. For myself, I haven’t decided.M: I had one of those yesterday. Let’s split a medium pizza and a large salad then.5.What does the man want to know?A. How to make desserts.B. How to solve problems.C. How to understand expressions.【答案】C【解析】【原文】M:Can you tell me the meaning of “piece of cake”?What about “easy as pie”?W:Neither is about dessert. They are similar in meaning to “no problem”.M:Well,have you ever made a pie? There is nothing easy about it.第二节(共15小题;每小题1.5分，满分22.5分)听下面5段对话或独白。

高三英语试卷（2020.05）(满分140分，考试时间120分钟)I Listening ComprehensionSection ADirections: In Section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. A Supermarket. B. Tailors shop. C. Department store. D. Convenience store.2. A. 200 pound. B. 600 pounds. C. 300 pounds. D. 700 pounds.3. A. Call the ticket office later. B. Order the tickets onlineC. Not to buy the ticket on the Internet.D. Order the tickets when it's not busy.4.A. Borrowing money from a business company. B Lending some money to a student.C. Asking for some financial aid. D Reading students’ application.5. A. The bed is to blame for his not falling asleep. B. He can fall asleep if he stops drinking.C. He can drink more to fall asleep easily.D. Drinking is good for sleeping.6. A. He is satisfied with the content. B. He feels sorry for it.C. He thinks it is valueless.D. He thinks it is valuable.7. A Professor Smith spoke Greek when he explained the maths problem.B. The woman still didn’t understand the maths problem.C. Unfortunately, she didn’t hear Professor Smiths explanation.D. Professor Smith didn't explain the problem clearly.8. A. Collect papers for the man. B. Do the typing once again.C. Check the paper for typing errors.D. Read the whole newspaper.9.A. Proceed in his own way. B. Stick to the original plan.C. Negotiate with his colleague.D. Try to change his colleagues mind.10. A. His project proved to be unsuccessful. B. He was unable to get sufficient money.C. Lack of land prevented his success.D. He was successful with his project.Section BDirections: In Section B, you will hear several longer conversation(s)and short passage(s), and you will be asked several questions on each of the conversation(s)and the passage(s). The conversation(s)and the passage (s) will beread twice, but the questions will be spoken only once. When you hear a question, read the four possible answers on your paper and decide which one is the best answer to the question you have heard.Questions 11 through 13 are based on the following talk.11. A. To guide and help children's play. B. To give children an opportunity to play.C. To make children excited. D To keep children company.12. A. It determines the standard a child can reach.B. It is the happiest period during one's life.C. It is the most important time to shape one’s character.D. It is the best time for children to learn new thing.13. A. The relationship between play and learning.B. The way to help children develop both physically and mentally.C. The importance of children’s play.D. Different stages of children’s development.Questions 14 through 16 are based on the following passage.14. A. It tends to wander towards unpleasant experiences.B. It wanders for almost half of their waking time.C. It has trouble concentrating after a brain injuryD. It tends to be affected by their negative feelings.15. A. To find how happiness relates to daydreaming.B. To observe how one’s mind affects one’s behavior.C. To see why daydreaming impacts what one is doing.D. To study the relation between health and daydreaming.16. A. Participants with clear goals in mind outperformed those without clear goals.B. The difference in performance between the two groups was insignificant.C. Non-daydreamers were more confused on their tasks than daydreamers.D. Daydreamers did better than non-daydreamers in task performance.Questions 17 through 20 are based on the following conversation.17. A. Their average lifespan was less than 50 years.B. It was very common for them to have 12 children.C. They retired from work much earlier than today.D. They were quite optimistic about their future.18. A. Get ready for ecological changes.B. Adapt to the new environment.C. Learn to use new technology.D. Explore ways to stay young.19. A. When all women go out to work.B. When family planning is enforced.C. When a world government is set up.D. When all people become wealthier.20. A. Eliminate poverty and injustice.B. Migrate to other planets.C. Control the environment.D. Find inexhaustible resources.Ⅱ. Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word: for the other blanks. use one word that best fits each blank.Plants Scream in the Face of StressFor the first time, researchers appear to have evidence that like animals, those plants deprived of water or (21)__________(force)to endure bodily harm can let out their pain. The study. (22)_________ has yet to be published in a scientific Journal, adds another dimension to scientists(23)________ (grow)understanding of how plants detect and interact with their surroundings.In recent years, it has become very clear that plants are more sensitive than researchers (24)_________ (think). They respond when touched by insects and turn toward sources of light. “Plants are not just robotic stimulus-response devices,” said Frantisek Baluska of the University of Bonn in Germany. “They’re living organisms which have their own problems.”Actually making their suffering hearable, however, is another matter entirely.(25)________(test) that possibility, a team led by Itzhak Khait, a plant scientist at Tel Aviv University in Israel, placed microphones capable of detecting ultrasonic frequencies(超声波频率) four inches from tomato and tobacco plants. The researcher then either stopped watering them or cut their stems.Measuring in the range of 20 to 150 kilohertz (千赫) the researchers found that even happy healthy plants madethe occasional noise. But when cut, tobacco plants emitted (26)_________average of 15 sounds within an hour of being cut, (27)_________tomato plants produced 25 sounds.(28)_______researchers aren’t yet sure how plants produce these sounds, Khait and his colleagues proposed one possibility in their paper (29)____________as water travels through the plants' tubes, air bubbles will form and explode, producing small vibrations.All this “screaming” caused by stress wasn’t in a range detectable by human ears. But organisms that can hear ultrasonic frequencies like mice, bats or perhaps other plants (30)________possibly hear the plants cries from as far away as 15 feet.Section BDirections: Fill in each blank with a proper word chosen from the box. Each word can be used only once. Note that there is one word more than you need.Italians find “Moments of Joy in this Moment of Anxiety”It started with the national anthem. Then came the piano chords, trumpet blasts, violin serenades(小夜曲) and even the clanging of pots and pans--all of it (31)_________from people’s homes, out of windows and from balconies, and resounding across rooftops.Finally, on Saturday afternoon, a nationwide (32)__________of applause broke out for the doctors on the medical front lines fighting the spread of Europe’s worst coronavirus outbreak.Italians remain (33)_________under house arrest as the nation, the European front in the global fight against the coronavirus, has ordered extraordinary restrictions on their movement to prevent infection.But the music and noise erupting over the streets, from people (34)_________in their homes, reflects the spirit, resilience and humor of a nation facing its worst national emergency since the Second World War.To the extent that this is a virus that tries people' s souls, it has also demonstrated the (35)__________of those national characters.In China, patriotic truck drivers risked infection to bring(36)_________needed food to the people of Wuhan, the epicenter of the outbreak. In Iran, videos show doctors in full combat dress and masks dancing to keep (37)_______up. And in Italy, the gestures of gratitude and music ring out above the country’s empty streets, while social media feeds fill with (38)___________, sentimental and humorous web videos.Images of nurses collapsed from exhaustion or their faces bruised(使受瘀伤) from tightly(39)________maskshave also spread across the web in recent days. Parents posted pictures of unicorns and rainbows drawn by young children with the title “It will all be OK.”“We’re Italians, and loving singing is part of our culture,” said Giorgio Albertini, 51, an archaeology professor who clapped from his apartment balcony in the university district of Milan, calling it a way “to feel a community, and to have the (40)_________grief.”Ⅲ Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.Making choices is hard. That would be why researcher Moran Cerf has (41)_________it from his life. As a rule, he always chooses the second menu item at a restaurant.This is (42)___________by his research in neuroeconomics(神经经济学)( a somewhat new, divisive field) at Northwestern University. As Business Insider describes, Cerf has extended his ideas which draw on some controversial ideas in psychology, including ego depletion out into a piece of advice that, to (43)_________happiness, people should "build a life that requires (44)________decisions by surrounding themselves with people who possess traits they prefer.On an instinctive level, Cerf’s idea (45)_____________: Many choices people make are the product of social pressures and the inputs of (46)___________people around them. One example Cerf furnishes is that, (47)________consistently ordering the second menu item. he never picks where to eat. Rather, he (48)________his decision to his dining partner which friend he plans to eat with, probably one he trusts and always lets them pick.While it's (49)__________what, if any, scientific principles underlie those pieces of advice, there is no shortage of research showing that choices can sometimes feel more(50)_______than liberating. An example from Quanta poits (假设): If you have a clear love of Snickers(士力架), choosing that over an Almond Joy(杏仁巧克力) or a Milky Way(牛奶巧克力) should be a(51)________. And, as an experiment conducted by neuroscientist Paul Glimcher at NYU shows, most of the time it is, (52)_________you introduce more choices. When the participants were offered three candy bars (Snickers, Milky Way, and Almond Joy) they had no problem picking their favorite, but when they were given the option of one among 20, including Snickers, they would sometimes drift away from their (53)_____. When the choices were taken away in later trials. the participants would wonder what caused them to make such a bad decision.As Quanta details, according to a model called" 'divisive normalization(分裂归一化), which has gained some popularity, the way the brain encodes choices has a lot to do with how it values all its options. So, if you have twothings that are clearly (54)___________, brain areas involved in decision-making fire in a pattern that makes the decision clear. When the choices are comparable. the brain does its best to focus on the distinctions between the two, but more choices (55)_________ that ability out.41. A. relieved B. released C. eliminated D. liberated42. A. influenced B. inherited C. implemented D. informed43. A. maximize B. balance C. cherish D. seek44. A safer B. fewer C. better D. sounder45. A. stands out B comes into force C makes sense D. play a part46. A. distinguished B. trusted C. authorized D. honored47. A. in addition to B. instead of C. in spite of D. regardless of48. A. conveys B. relates C. submits D. limitsA. evidentB. unclearC. criticalD. inevitable50. A. confusing B. Inspiring C. worrying D. appealing51. A. stressor B. no-brainer C. challenge D. headache52. A. after B. before C. when D. until53. A. preference B. struggle C. status D. directionA. impressiveB. insignificantC. uniqueD. distinct55. A. crowd B. figure C. sort D. putSection BDirections: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A. B. C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)One spring day, once the flowers have begun to open, a bee will hover (盘旋)and zip through your yard and dive-bomb your picnic table. While you're thinking about avoiding an attack, that bee is focused on something else entirely: me.A honeybee has about six weeks to live. Today, like most days, her task is to fly as many as three miles from home. stick her long. straw like tongue into a hundred or so flowers. When the bee has had her fill. she’ll fly home. There the bee will deposit what she has got into the mouth of one of her co-workers, who will relay it to another, and so on for about 20 minutes, until the mixture is ready to be placed into the comb. Then she and her 50.000 or so mates will hover in the dark all night every night, flapping their wings to create hot, breezy conditions to remove the waterfrom the mixture. Several sunrises later, they will seal me off in a golden cell of beeswax. In her lifetime, our bee may visit 4,000 flowers, and yet will produce only one-twelfth a tea spoon of me.The average American consumes nearly a pound and a half of me every year, in tea, on toast, and beyond. If I do say so myself, I am a timeless treasure. Literally I never go bad.Unfortunately, my good health is not guaranteed. The problem lies in the growth of industrial agriculture and the use of pest control chemicals, as well as changes in weather patterns, all of which reduce the number of flowers bees have to visit. I’d appreciate your letting your own garden grow just a little wild. My future depends on all of us fostering spring and summers wild flowers, thus helping the bees, who give so much to you, to me without ever asking for anything in return.56. What does “me” refer to in the passage?A. The flower.B. The bee.C. Water. D Honey.57. What is the 2nd paragraph mainly about?A. Bees’ special talent.B. Bees’ hard work.C. Bees’ living environment.D. Bees’ social behavior.58. Which one of the following is true according to the passage?A. A bee will always prioritize attacking picnic lovers.B. Before “me” is sealed off in beeswax, the drying process can take a few nights.C. The lifework of a bee satisfies the average demand of an American consumer annually.D. Bees are more likely to visit those deliberately pest-controlled gardens59. What is the purpose of the passage?A. To appeal for help for honeybees.B. To talk about the history of a treasure.C. To put forward techniques for gardeners.D. To argue against the control of chemicals.(B)Get Your Unlimited Card at Cineworld CinemasEnjoy Unlimited FilmsWatch all the films you want at any Cineworld for just one monthly price.Being an Unlimited card holder gives you access to all the 2D films you canhandle for one monthly price. Watch what you want, when you want as manytimes as you want. Plus, save money when watching films in 3D and others.After you've been with us for more than I year we'll upgrade you to a Premium Card and you' ll get into 3D films completely free too! Start enjoying today by using a temporary pass while you wait for your card to arrive in the post.Save On Snacks And DrinksGet 10% off all in-cinema food and drink. Plus get 10% off atCineworld Starbucks licensed stores. First year card holders get 10%o off,whilst Premium card holders get 25% off Cineworld's in-cinema food anddrinks including, all drinks, popcorn, nachos, hotdogs, ice cream, pick nmix and much more. Plus all card holders get 10% discounts at Cineworld Starbucks licensed stores. All you need to do is show your card at the counter and your discount will be applied.Recommend A FriendUnlimited members can get free months of membership when theyrecommend Unlimited to their friends!Recommend Unlimited to your friends and well give you free monthsof membership to say thank you. For every friend that signs up using yourunique Recommend a Friend code you will both receive one month’s free membership once they have been an active Unlimited member for 90 days. The free month will be automatically added to the end of your current subscription. You can earn a maximum of 12 Free Months with your Recommend a Friend code, so recommend Unlimited to 12 friends and you could get a full year of free Unlimited cinema!60. The cinema names its membership card “Unlimited” because__________.A. one can have the benefits for good upon joining the membership.B. Cineworld members can enjoy as many 2D and 3D films as they like for free.C. it frees a member from any regular payment to the movie tickets at Cineworld.D. card holders can share limitless discounts and offers with friends and relatives.61. Which of the statement is TRUE according to the passage?A. The benefits above are not available until the card is delivered.B. Premium card holders can have 25%o off at a licensed Starbucks.C. Whoever persuades 6 friends into Unlimited can enjoy a half year of free membership.D. A second year of investment is worthwhile if you are a cinema goer.62. This passage is probably written to____________.A. secure the loyalty of potential customers.B. introduce the latest movies and discounts.C promote the popularity of Cineworld cinemas.D. give away movie cards to readers for free.(C)A rare hole has opened up in the ozone layer above the Arctic, in what scientists say is the result of unusually low temperatures in the atmosphere above the north pole.The hole, which has been tracked from space and the ground over the past few days, has reached record dimensions, but is not expected to pose any danger to humans unless it moves further south. If it extends further south overpopulated areas, such as southern Greenland, people would be at increased risk of sunburn. However, on current trends the hole is expected to disappear altogether in a few weeks.Low temperatures in the northern polar regions led to an unusual stable polar vortex(极地漩涡) and the presence of ozone-destroying chemicals such as chlorine(氯)in the atmosphere-from human activities caused the hole to form.“The hole is principally a geophysical curiosity.” said Vincent-Henri Peuch, director of the Copernicus Atmosphere Monitoring Service. “We monitored unusual dynamic(动态的)conditions, which drive the process of chemical depletion of ozone. Those dynamics allowed for lower temperatures and a more stable vortex than usual over the Arctic, which then triggered the formation of polar stratospheric(平流层的)clouds and the catalytic(催化的) destruction of ozone.”The hole is not related to the Covid-19 shutdowns that have dramatically cut air pollution and reduced greenhouse gas emissions. It is also too early to say whether the unusually stable Arctic polar vortex conditions are linked with the climate crisis, or part of normal stratospheric weather variability.Peuch said there were no direct implications for the climate crisis. Temperatures in the region are already increasing, slowing the depletion of ozone, and the hole will start to recover as polar air mixes with ozone rich air from lower latitudes. The last time similar conditions were observed was in spring 2011.While a hole over the Arctic is a rare event, the much larger hole in the ozone layer over the Antarctic has been a major cause for concern for more than four decades. The production of ozone depleting chemicals has been dramatically reduced, under the1987 Montreal Protocol(蒙特利尔协议), but some sources appear still to be functioning in 2018unauthorized emissions were detected from some areas.New sources of ozone depleting chemicals were not a factor in the hole observed in the Arctic, said Peuch. “However, this is a reminder that one should not take the Montreal Protocol measures for granted and that observations from the ground and from satellites are central to avoid a situation where the ozone destroying chemical level in the stratosphere could increase again.”63. What is the possible meaning of the underlined word “depletion”?A. replacement.B. consumption.C. increase.D. production.64. According to the passage, scientists are concerned about the hole because____________.A. it is expected to be a threat to the mankind.B. the new hole is caused by air pollution and greenhouse gas emissions.C. it may encourage further scientific research and environmental awareness.D. it wars us of an oncoming climate crisis.65. What can be learned from the last two paragraphs?A. The hole over the Arctic shares the same causes as the one over the Antarctic.B. Human activities are highly responsible for producing ozone-destroying chemicals.C. The Montreal Protocol has successfully prevented new emissions.D. Some new illegal emissions are to blame for the hole over the Arctic.66. The best title for the passage is probably_________.A. Record-size Hole Opens in Ozone Layer above the Arctic.B Actions Urgently Needed for a New Hole in Ozone Layer.C Environmental Disaster and International Cooperation.D. How a Hole in Ozone Affects our Life on Earth.Section CDirections: Read the following passage. Fill in each blank with a proper sentence given in the box. Each sentence can be used only once. Note that there are two more sentences than you need.People like to post their selfies(自拍照)on social media. To know more about it, scientists at Syracuse University in New York recently did a research and came up with some surprising findings.People who post selfies and use editing software to make themselves look better show behaviors connected to narcissism, the researchers said. (67)_________Makana Chock, a professor from Syracuse University. said because social media is mostly used by people to share unimportant information about their lives, it is a good place for people to “work towards satisfying their own vanity.” Those “likes” under their Facebook selfies make them feel good.(68)_________Some people feel “peer pressure” to post selfies and some follow the popular belief that if there is no picture of an event or experience. it did not really happen. “Anyway, it shouldn’t be seen as negative. People get sense of satisfaction especially when they get likes. And it does no harm,” Chock said.Other findings from the study include: There are no major differences on how often men and women post selfies and how often they use editing software. (69)_______Chock said posting selfies on social media is not all that different from what people have done for many years. On trips and special events, our parents and grandparents used cameras instead of phones to take photos. They would bring back photos to show friends and family. You had no choice but to look at them. You probably commented about how nice everyone in the photos looked, especially children and the person showing the photos. They were happy to hear your comments. (70)__________On social media, however, people can decide not to look at photos even if they click “like”.TV. Summary WritingDirections: Read the following passage, Summarize the main idea and the main point(s)of the passage in no more than 60 words. Use your own words as far as possible.It's natural to feel the need to control something when everything around you feels out of control, and you feel helpless. When a friend of mine first heard about the coronavirus outbreak. she got down on her hand. and knees and cleaned her kitchen floor. She told me, “My floor wasn’t even dirty, but doing something constructive made me feel in control and that I was holding on to my power, despite the desperate circumstances.”Your most powerful weapon against uncertainty is your perspective because nobody and no situation can take that from you unless you give it away. Your perspective can victimize or empower you. When you look for the upside in a downside situation and figure out what you can control and what you can't, it's easier to accept whatever is beyond your control.高三英语调研测试（试卷参考答案）I Listening ComprehensionSection A1-5 BDBCB6-10 CBCCDSection B11-13 AAC14-16 BAD17-20 ACDCII. Grammar and V ocabularySection A21. forced22 which23. growing 24. thought25. To test27. while28. Although/While/Thou29. that30 could/canSection B31-40 IBACG FDEKJIII Reading ComprehensionSection A41-55 CDABC BADBA BDADASection B56-59 DBBA60-62CDA63-66 BCBASection C67-70 CBFDTV. Summary WritingFor reference:Strengthening or retrieving a sense of control is a natural demand. First, good perspective is of the greatest help, for evaluating the situation properly brings a clearer picture. Second, kind behaviors during tough times can secure you a sense of control as well. Third, actions and thoughts of positivity also help as they may create hope and optimism.It's essential to feel you can control something in a crisis or emergency. Positive perspective is the most important, since it will ensure you confidence and power to pull through the difficult situation. Then doing small good deeds can free you from worry temporarily by helping others. Lastly. take some positive action to arouse the hope within you.V. Translation72. Never before have we been so eager/keen to go to school as we are now.73. Why not do something you love but don’t have time to do since you can only stay at home?74. In Europe many coffee houses which serve as ideal places for social interaction have to close their stores to respond to the public health crisis.75. It turns out that when our country is facing difficulties, every Chinese, whether at home or abroad is willing to make contributions to their motherland.。

高三英语模拟试卷（二）英语试卷第I卷（选择题，共95分）第一部分：英语知识运用（共两节，满分45分）第一节：单项填空（共15小题；每小题1分，满分15分）从A、B、C、D四个选项中，选出可以填入空白处的最佳选项。

1. —I’d like to take a holiday in August, Mr. Yang.— ___________ We'll be busy then. You'll have to make it another time.A. It's up to you.B. It's out of the question.C. It doesn't matter.D. By all means.2. My computer ___________ start this morning. There must have been something wrong with it.A. shouldn'tB. wouldn'tC. needn'tD. mustn't3. The professor could tell by the _______________ look in Maria's eyes that she didn't understand asingle word of his lecture.A. coldB. emptyC. innocent D・ blank4. It is by no means clear __________ the local government will do with the buildings of poor quality.A. whatB. howC. whetherD. which5. Alice spent an afternoon helping her grandfather to ____________ the stamps which he had collectedfor years.A. make outB. watch outC. sort outD. put out6. Delete the short message at once! Many a man ____________ by such tricks up to now.A. are cheatedB is cheated' C. have been cheatedD. has been cheated7. There is a belief that the robots will take the place of human beings one day.—_______ After all, they don't have their own thinking.A. Don't mention it.B. It depends.C. I don't think so.D. I have no idea.8. The cooling wind swept through our bedroom windows, ___________ air conditioning unnecessary.A. madeB. to makeC. being madeD. making9. Most passengers like sitting in the front of a bus to have a better view. What's more, they believe it's lesslikely that _____________________ will happen.A. car-accidentB. car-sicknessC. car-troubleD. car-crash10. Much disappointed as he is _________ in the job interview, he still keeps his confidence.A. to have failedB. to failC. having failedD. failing11 .---What do you think of the jacket and the hat I wear today?—I don't think this jacket _________ you and that your hat ________ this jacket perfectly.A. suits; fitsB. meets; fitsC. matches; suitsD. fits; matches12. 5G has faster data transmission, lower delay and stronger mobility ______________ the conventional4G.A. in charge ofB. in defense ofC. in contrast toD. in proportion to .13. Although he did not do it ________ , he definitely had some responsibility.A. instantlyB. deliberatelyC. accidentallyD. casually14. Tom is so independent that he never asks his parents' opinion __________ he wants their support.A. sinceB. onceC. unlessD. after15. We have entered into an age _______ dreams have the best chance of coming true.A. whichB. whatC. thatD. when第二节:完形填空（共20小题；每小题1.5分，满分30分）阅读下面短文，掌握其大意，然后从16-35题所给的A、B、C、D四个选项中，选出最佳选项。

2020届高三年级第二次模拟考试（十）数学（满分160 分，考试时间120 分钟）、填空题：本大题共14 小题，每小题 5 分，共计70分．1. 已知集合A＝{x|1<x<3} ，B＝{x|2<x<4} ，则A∪B＝________2. 若复数z 满足z＝i（i 为虚数单位），且实部和虚部相等，则实数 a 的值为a＋2i3. 某药厂选取若干名志愿者进行临床试验，所有志愿者的舒张压数据（单位：kPa）的分组区间为［12，13），［13 ，14），［14 ，15），［15 ，16），［16 ，17］，将其按从左到右的顺序分别编号为第一组，第二组，⋯，第五组．如图是根据试验数据制成的频率分布直方图，已知第一组与第二组共有20 人，则第三组的人数为_ ．（第3题）（第4 题）4. 如图是某算法的伪代码，输出的结果S 的值为_______ ．5. 现有5件相同的产品，其中3件合格， 2 件不合格，从中随机抽检 2 件，则一件合格，另一件不合格的概率为_______ ．6. 在等差数列{a n}中，a4＝10，前12 项的和S12＝90，则a18的值为 ____ ．222 x y7. 在平面直角坐标系xOy 中，已知 A 是抛物线y2＝4x 与双曲线4－b2＝1（b>0）的一个交点．若抛物线的焦点为F，且FA＝5，则双曲线的渐近线方程为____________________ ．π8. 若函数f（x）＝2sin（ωx＋φ）（ω>0，0<φ<π）的图象经过点（，2），且相邻两条6ππ对称轴间的距离为π2，则f（π4）的值为___ ．9. 已知正四棱锥PABCD的所有棱长都相等，高为 2 ，则该正四棱锥的表面积为10. 已知函数f（x）是定义在R上的奇函数，且当x≥0时，f（x）＝x2－5x，则不等式f （x －1）>f（x）的解集为．211. 在平面直角坐标系xOy 中，已知点A（－1，0），B（5，0）．若在圆M：（x －4）2＋（y －m）2＝ 4 上存在唯一一点P，使得直线PA，PB 在y 轴上的截距之积为5，则实数m 的值为12. 已知AD是直角三角形ABC的斜边BC上的高，点P 在DA的延长线上，且满足（PB＋|x ＋3| ，x≤0，13. 已知函数f(x) ＝ 3 设g(x) ＝kx＋1，且函数y＝f(x) －g(x) 的图x3－12x＋3，x>0.象经过四个象限，则实数k 的取值范围是________ ．2214. 在△ ABC中，若sin C ＝2cos Acos B ，则cos 2A＋cos 2B 的最大值为_____ ．二、解答题：本大题共 6 小题，共计90 分．解答时应写出文字说明，证明过程或演算步骤．15. ( 本小题满分14 分)π 设向量a＝(cos α，λ sin α)，b＝(cos β，sin β)，其中λ>0，0<α<β<2，且a＋b与a－b互相垂直．(1) 求实数λ 的值；4(2) 若a·b＝，且tan β＝2，求tan α 的值．516. ( 本小题满分14 分)如图，在三棱柱ABCA1B1C1中，AB＝AC，A1C⊥BC1，AB1⊥BC1，D，E 分别是AB1和BC 的中点．求证：(1) DE ∥平面ACC1A1；(2) AE ⊥平面BCC1B1.17. （本小题满分14 分）某公园内有一块以O为圆心，半径为20 米的圆形区域．为丰富市民的业余文化生活，现提出如下设计方案：如图，在圆形区域内搭建露天舞台，舞台为扇形OAB区域，其中两个端点A，B 分别在圆周上；观众席为梯形ABQP内且在圆O 外的区域，其中AP＝AB＝BQ，∠PAB ＝∠ QBA＝120°，且AB，PQ在点O的同侧．为保证视听效果，要求观众席内每一个观众到舞π台O 处的距离都不超过60 米．设∠ OAB＝α，α∈（0 ，3）．问：对于任意α，上述设计方案3是否均能符合要求？(2) 设经过点 P(2 ， 0)的直线 l 交椭圆 C 于 A ， B 两点，点 Q(m ，0) ． ①若对任意直线 l 总存在点 Q ，使得 QA ＝QB ，求实数 m 的取值范围； ②设 F 为椭圆 C 的左焦点，若点 Q 为△FAB 的外心，求实数m 的值．18. (本小题满分 16 分) 在平面直角坐标系xOy 中，已知椭圆 C ： 的一个顶点到一个焦点的距离等于 2. (1) 求椭圆 C 的方程；2x2＋ayb 2 ＝1(a>b>0) 的离心率为 22， 且椭圆 C 短轴19. (本小题满分16 分)2x－2 已知函数f(x) ＝ln x －，a>0.x－1＋2a(1) 当a＝2时，求函数f(x) 的图象在x＝1 处的切线方程；(2) 若对任意x∈[1 ，＋∞ ) ，不等式f(x) ≥0恒成立，求实数 a 的取值范围；(3) 若函数f(x) 存在极大值和极小值，且极大值小于极小值，求实数 a 的取值范围．20. (本小题满分16 分) 已知数列{a n}各项均为正数，且对任意n∈N*，都有(a1a2⋯a n)2＝a n1＋1a n n＋－11.a2(1) 若a1，2a2，3a3成等差数列，求2的值；a1(2) ① 求证：数列{a n} 为等比数列；② 若对任意n∈N*，都有a1＋a2＋⋯＋a n≤2n－1，求数列{a n} 的公比q的取值范围．2020 届高三年级第二次模拟考试 （ 十 ） 数学附加题 （本部分满分 40分，考试时间 30 分钟）21. 【选做题】 本题包括 A 、B 、C 三小题 ，请选定其中两小题 ，并作答．若多做 ，则按作答的前两小题评分．解答时应写出文字说明、证明过程或演算步骤．A. [ 选修 4-2 ：矩阵与变换 ]（ 本小题满分 10 分）（1） 求 a ， b 的值； （2） 求 A 的逆矩阵 A －1.x ＝t ，在平面直角坐标系 xOy 中，直线 l 的参数方程为 （t 为参数 ），曲线 C 的参数 y ＝ 3t ＋2值．C. [ 选修 4-5 ：不等式选讲 ]（ 本小题满分 10 分） 解不等式： |2x －1| －x ≥2.【必做题】第 22 题、第 23 题， 每小题 10 分 ， 共计 20 分．解答时应写出文字说明、证 明过程或演算步骤．22. (本小题满分 10 分)如图是一旅游景区供游客行走的路线图，假设从进口 A 开始到出口 B ，每遇到一个岔路2 b1121， B，AB ＝a 30 － 14 1已知矩阵 A ＝B. [ 选修 4-4 ：坐标系与参数方程 ]（ 本小题满分 10 分 ）方程为x ＝ cos θ， y＝ 3sin θ（ θ 为参数 ） ，P 是曲线 C 上的任意一点． 求点 P 到直线 l 的距离的最大口，每位游客选择其中一条道路行进是等可能的．现有甲、乙、丙、丁共 4 名游客结伴到旅游景区游玩，他们从进口 A 的岔路口就开始选择道路自行游玩，并按箭头所指路线行走，最后到出口B 集中，设C 是其中的一个交叉路口点．(1) 求甲经过点 C 的概率；(2) 设这 4 名游客中恰有X名游客都是经过点C，求随机变量X的概率分布和数学期望．23. (本小题满分10 分)平面上有2n(n≥3，n∈N*)个点，将每一个点染上红色或蓝色．从这2n 个点中，任取3个点，记 3 个点颜色相同的所有不同取法的总数为T.(1) 若n＝3，求T 的最小值；3(2) 若n≥4，求证：T≥2C n3.2020 届高三年级第二次模拟考试 （ 十）数学参考答案因为 0<α<π2 ，所以 sin 2α≠0，所以 λ2－ 1＝0.又因为 λ >0，所以 λ＝ 1.（6 分 ） （2） 由（1） 知 a ＝（cos α，sin α） ．44 由 a ·b ＝ ，得 cos αcos β＋ sin αsin β＝ ，554即 cos （ α－β ） ＝ .（8 分 ）5 ππ 因为 0<α<β< 2 ，所以－ 2 <α－β<0，23所以 sin （ α－β ） ＝－ 1 － cos （α－β）＝－ 5.（10 分 ）sin （α－β） 3所以 tan （ α－β）＝ cos （α－β） ＝－ 4，（12 分）tan （α－β）＋ tan β 1因此 tan α＝tan （ α－β＋β ）＝1－ tan （α－β） tan β＝2.（14 分）16. （1） 连结 A 1B ，在三棱柱 ABCA 1B 1C 1中， AA 1∥BB 1且 AA 1＝BB 1， 所以四边形AA 1B 1B 是平行四边形．又因为 D 是 AB 1 的中点，所以 D 也是 BA 1 的中点． （2 分）在△ BA 1C 中， D 和E 分别是 BA 1和 BC 的中点，所以 DE ∥A 1C. 又因为 DE 平面ACC 1A 1，A 1C 平面 ACC 1A 1， 所以 DE ∥平面 ACC 1A 1.（6 分 ）（2） 由 （1） 知 DE ∥A 1C ，因为 A 1C ⊥BC 1， 所以 BC 1⊥DE.（8 分 ） 又因为BC 1⊥AB 1，AB 1∩DE ＝ D ， AB 1， DE 平面 ADE ，所以 BC 1⊥平面 ADE. 又因为 AE 平面 ADE ，所以 AE ⊥BC 1.（10 分 ） 在△ABC 中， AB ＝ AC ，E 是 BC 的中点， 所以 AE ⊥BC.（12 分 ） 因为 AE ⊥BC 1，AE ⊥BC ， BC 1∩BC ＝ B ，1. {x|1<x<4}2. － 23. 184.316 5. 35 6. －47. y ＝± 3 x 8. 3 9. 410. （ －2， 3） 11. ± 21 12. 13. － 9，1314.2＋1 2（1） 由 a ＋b 与 a － b 互相垂直 ， － 1＝ 0.（2 分） ＝ 1，＝ 0.（4 分 ） 15. 所以 cos 2α＋λ 2sin 2α 又因为 sin 2α＋ cos 2α 所以（λ 2－ 1）sin 2α可得 （a ＋b ）·（a －b ） 22＝a －b ＝BC 1 ，BC 平面 BCC 1B 1， 所以 AE ⊥平面 BCC 1B 1.（14 分 ）17. 过点 O 作 OH 垂直于 AB ，垂足为 H. 在直角三角形 OHA 中， OA ＝ 20，∠ OAH ＝α， 所以 AH ＝20cos α，因此 AB ＝ 2AH ＝40cos α.（4 分 ） 由图可知，点 P 处的观众离点O 最远． （5 分） 在三角形 OAP 中，由余弦定理可知 OP 2＝OA 2＋ AP 2－2OA ·AP ·cos α＋ 23π （7 分 ）3＝400（6cos 2α＋ 2 3sin α cos α＋ 1）＝ 400（3cos 2 α＋ 3sin 2 α＋ 4） ＝800 3sin 2α＋ π3 ＋1 600.（10 分） ππ π因为 α∈ 0 ，3 ，所以当 2α＝ 6 ，即 α＝ 12时，（OP 2）max＝ 800 3＋1 600 ，即 OP max ＝ 20 3＋ 20.（12 分 ）因为 20 3＋20<60，所以观众席内每一个观众到舞台 O 处的距离都不超过 60米． （13 分）故对于任意 α，上述设计方案均能符合要求． （14 分 ）所以 b 2＝ a 2－ c 2＝1，x2所以椭圆 C 的方程为 2 ＋y 2＝1.（2 分） ①设 AB 的中点为 M （x 0，y 0） ，2x 1＋ x 24k 22k则 x0＝2＝1＋2k2，y0＝k(x 0－2) ＝－1＋ 2k 2.(6 分) 当 k ≠0时，因为 QA ＝ QB ，所以 QM ⊥ l ，2 解法一：设直线的方程为 y ＝k （x －2） ，代入椭圆 C 的方程，消去 y ，得（1 ＋ 2k 2）x 2－8k 2x ＋8k 2－2＝0.因为直线 l 交椭圆 C 于两点，所以 Δ＝ （ －8k 2） 2－4（1 ＋2k 2）（8k 2－ 2）>0 ， 解得－ 2 <k< 2 .（4 分 ）设点 A （x 1， y 1） ，B （x 2， y 2） ，＝ 400 ＋ (40cos α － 2×20× 40cos α ( － 2cossin αc＝218. (1) 依题意得 a 2c ＝1，8k 8k － 2则 x1＋x2＝1＋2k2，x1x2＝1＋2k2k－1＋2k2－0即 k QM ·k ＝2·k ＝－1.4k1＋2k2－m2k2 解得 m ＝1＋2k 2.（8 分 ）解法二：①设点 A （x 1， y 1） ， B （x 2， y 2） ，AB 中点为 M （x 0，y 0） ． 2x 1 22＋y 21＝ 1， 依题意 22 两式作差，x 2 22＋ y 2＝ 1，得y x 1－－y x 2×y x 0＝－12（x 0≠0）．x 1－ x 2 x 0 2y 1－ y 2 又因为 x 1－x 2＝kAB x 0－221所以 y 02＝－ 2x 0（x 0－2） ． 当 x 0＝0 时， y 0＝ 0，21符合 y 02＝－ 2x 0（x 0－2） ．（ⅰ）（4 分） 又因为 QA ＝QB ，所以 QM ⊥l ，所以（x 0－ m ）（x 0－ 2） ＋ （y 0－ 0）（y 0－ 0） ＝0， 即 y 0＝－ （x 0－ m ）（x 0－2） ．（ ⅱ）（6 分） 由（ⅰ）（ ⅱ） ，解得 x 0＝ 2m ，当 k ＝0 时，可得m ＝0，符合 m ＝1＋2k 22k 2.2k 2 因此 m ＝1＋2k 2k112（1－ m ）<12，解得 0≤m<12.（10 分）②因为点 Q 为△ FAB 的外心，且点 F （－1，0） ， 所以 QA ＝ QB ＝ QF.（m ＋1）2＝（ x －m ）2＋y 2， 由 x 222＋y ＝ 1， 2消去 y ，得 x －4mx － 4m ＝0，所以 x 1， x 2也是此方程的两个根， 所以 x 1＋x 2＝4m ，x 1x 2＝－ 4m.（14 分） 8k 2－2 x1x2＝1＋2k 2，由 0≤k 2＝（12 分 ）x 1x 2＝又因为 x 1＋ x 2＝ 2，1＋ 2k22 所以 8k 2＝－8k －21＋2k 2 1＋ 2k 22k 1 所以 m ＝1＋2k2k 2＝ 51.（162， 解得 k 2＝ 1，8分）y 0－0因此 y 02＝ 2m － 2m 2.（8 分 ） 因为直线 l 与椭圆 C 相交，所以点 M 在椭圆 C 内，2（ 2m ） 221所以 2 ＋ （2m － 2m 2）<1 ，解得 m<2. 22 又 y 20＝ 2m － 2m 2≥0，所以 0≤m ≤1.1综上，实数 m 的取值范围是 0，2 .（10 分 ）②因为点 Q 为△ FAB 的外心，且点 F （－1，0） ， 所以 QA ＝ QB ＝ QF.（m ＋1）2＝（ x －m ）2＋y 2， 由 x 2 2消去 y ，2 ＋y ＝ 12得 x 2－4mx －4m ＝0.（ ⅲ）（12 分 ）当 y 0≠0时，则直线 l 为 y ＝－ x0 （x －2） ，代入椭圆的方程，2y 0得（2y 02＋ x 02）x 2－4x 02x ＋4x 20－ 4y 20＝0.将（ ⅰ） 代入上式化简得 x 2－2x 0x ＋3x 0－ 2＝0.（ ⅳ）当 y 0＝0 时，此时 x 0＝ 0，x 1＝－ 2， x 2＝ 2也满足上式． （14 分）x2由①可知 m ＝ 2，代入 （ ⅲ） 化简得 x 2－2x 0x －2x 0＝0.（ ⅴ） 因为（ ⅳ）（ ⅴ）是同一个方程， 所以 3x 0－ 2＝－ 2x 0，解得 x 0＝ ，5x 0 1所以 m ＝ 2＝5.（16 分 ）2x － 21 8 119. （1） 当 a ＝2时， f （x ） ＝lnx － x ＋3，f ′（x ） ＝ x －（x ＋3）2，则 f ′（1） ＝ 2.1又因为 f （1） ＝0，所以函数 f （x ） 的图象在 x ＝1处的切线方程为 y ＝ 2（x －1） ， 即 x －2y － 1＝0.（2 分）2x －2（2） 因为 f （x ） ＝ln x －x －1＋2a，1 所以 f ′ （x ） ＝ － 2x （x －1＋ 2a ）2 2 2 2x －2x ＋ 4a －4a ＋ 1 （ x －1） ＋4a －4ax 2＝1＋2 a －a 2∈（1，＋∞ ） ，当x ∈（1， x 2）时， f ′（x ）<0 ，x （x －1＋2a ）2，（4 分）且 f （1） ＝0. 因为 a>0，所以 1－2a<1. ①当 4a 2－ 4a ≥ 0，即 a ≥1时，因为 f ′（x ）>0 在区间 （1 ，＋∞ ） 上恒成立， 所以函数 f （x ） 在区间 （1 ，＋∞ ）上单调递增． 当 x ∈[1 ，＋∞ ）时， f （x ） ≥f （1） ＝ 0， 所以 a ≥1满足条件． （6 分 ）②当 4a 2－4a<0，即 0<a<1 时， 由 f ′（x ） ＝ 0，得 x 1＝1－2 a － a 2∈（0 ， 1） ，4a2x （x －1＋2a ）2则函数f（x）在区间（1，x2）上单调递减，所以当x∈（1，x2）时，f（x）<f（1）＝0，这与x∈[1 ，＋∞ ）时，f（x）≥0 恒成立矛盾，所以0<a<1 不满足条件．综上，实数 a 的取值范围为[1 ，＋∞ ）．（8 分）（3）①当a≥1时，因为函数 f ′（x）≥0在区间（0 ，＋∞ ）上恒成立，所以函数f（x）在区间（0 ，＋∞ ）上单调递增，所以函数f（x）不存在极值，所以a≥1不满足条件；（9 分）1②当2<a<1 时，1－2a<0，所以函数f（x）的定义域为（0 ，＋∞），由f′（x）＝0，得x1＝1－2 a－a2∈（0 ，1），x2＝1＋2 a－a2∈（1，＋∞ ）．列表如下：由于函数f（x）在区间（x 1，x2）是单调减函数，此时极大值大于极小值，不合题意，1所以2<a<1 不满足条件．（11 分）1 ③当a＝2时，由f′（x）＝0，得x＝2.列表如下：此时函数f（x）仅存在极小值，不合题意，1所以a＝2不满足条件．（12 分）1④当0<a<2时，函数f（x）的定义域为（0 ，1－2a）∪（1－2a，＋∞ ），且0<x1＝1－2 a－a2<1－2a，x2＝1＋ 2 a－a2>1－2a. 列表如下：所以函数f(x) 存在极大值f(x 1) 和极小值f(x 2)，(14 分)因为0<x1<1－2a<x2，x1所以ln <0，x1－x2<0，x1－1＋2a<0，x2－1＋2a>0，x2所以f(x 1) －f(x 2)<0 ，即f(x 1)<f(x 2) ，1所以0<a<2满足条件．1综上，实数a的取值范围为0，2 .(16 分)2 3 220. (1) 因为(a 1a2) 2＝a31a3，所以a22＝a1a3，因此a1，a2，a3 成等比数列．(2 分) 设公比为t ，因为a1，2a2，3a3成等差数列，a2 a3所以4a2＝a1＋3a3，即4× ＝1＋3× ，a1 a121于是4t ＝1＋3t ，解得t＝1 或t ＝3，a2 1所以a＝ 1 或3.(4 分)a1 3(2) ①因为(a 1a2⋯a n) 2＝a n1＋1a n n＋－11，所以(a 1a2⋯a n a n＋1) 2＝a1n＋2a n n＋2，n2a n＋ 2两式相除得a n＋1＝a1· n－1，a n＋1即a n n＋＋11＝a1a n n＋2，(*)(6 分)2n ＋ 2 n ＋1 n＋ 1即a n＋ 2 ＝a n ＋1a n＋3，所以a n＋2＝a n＋1a n＋3，2* 即a n2＋1＝a n a n＋2，n≥2，n∈N*，(8 分) 由(1) 知a22＝a1a3，所以a2n＋1＝a n a n＋2，n∈N*，因此数列{a n} 为等比数列．(10 分)②当0<q≤2时，由n＝ 1 时，可得0<a1≤1，所以a n＝a1q n－1≤2n－1此时f(x 1) －f(x 2) ＝ln x1 4a(x1－x2)x1－1＋2a)( x2－1＋2a).2x1－2 2x 2－ 2x1－1＋2a －ln x2 ＋x2－1＋2alnx1x2由(*) ，(*)(**)n＋ 2 n＋ 1得a n＋2＝a1a n＋3，两式相除得n＋2 n ＋1a n＋2 a n＋ 3n ＋1＝n a n＋1 a n ＋2因此 a 1＋ a 2＋⋯＋ a n ≤1＋ 2＋⋯＋ 2n －1＝2n －1， 所以 0<q ≤2满足条件． （12 分） 当 q>2 时，n由 a 1＋a 2＋⋯＋ a n ≤2－1，a 1（1－ q ） n 得 1 1－q ≤2n －1，整理得 a 1q n ≤（q － 1）2 n ＋ a 1－ q ＋ 1.（14 分） 因为 q>2，0<a 1≤1，所以 a 1－ q ＋1<0，由于q >1，因此 n<log qq －1，与任意 n ∈N *恒成立相矛盾，2 2 a 1所以 q>2 不满足条件．综上，公比 q 的取值范围为 （0 ，2] ．（16 分）2b21. A. （1） 因为 A ＝， B ＝a32－b ＝1，b ＝ 1，所以 a ＝ 4， 即 （4 分 ）a ＝ 4.a － 3＝1， （2） 因为 |A |＝2×3－1×4＝ 2，（6 分）312.（10 分 ）π＋ 4 ＝ 1，此时 d 取最大值， 所以距离 d 的最大值为 62 2.（10 分 ）1C. 当 x ≥2时，由 2x － 1－x ≥2，得 x ≥3.（4 分）11当 x<2时，由 1－2x －x ≥2，得 x ≤－ 3.（4 分） 231 综上，原不等式的解集为 {x|x ≥3 或 x ≤－3} ． （10 分）22. （1） 设“甲从进口 A 开始到出口 B 经过点 C ”为事件 M ，B. 直线 l 的参数方程为x ＝ t ，y ＝ 3t （t 为参数 ） ，化为普通方程为 ＋23x －y ＋2＝ 0.（2 分）设点 P （cosθ，3sin θ），则点 P 到直线 l的距离| 3cos θ－ 3sin θ＋ 2| 6cos d ＝（ 3） 2＋1π θ＋ ＋ 242，（6分 ）因此 a 1q n<（q －1）2 n，即2qn<q －a 1112－1， AB ＝ 4所以 A －1＝取 θ＝－ 4 时， cos θ11甲选中间的路的概率为 3，在前面从岔路到达点 C 的概率为 2，这两个事件相互独立，所 32 111以选择从中间一条路走到点 C 的概率为 P 1＝ × ＝ .（2 分）3 2 6 111 同理，选择从最右边的道路走到点 C 的概率为 P 2＝ × ＝ .326因为选择中间道路和最右边道路行走的两个事件彼此互斥，111所以 P （M ） ＝P 1＋P 2＝ ＋ ＝ .6631故甲从进口 A 开始到出口 B 经过点 C 的概率 3.（4 分） （2） 随机变量可能的取值 X ＝0，1，2，3， 4，（5 分） 01 02 4 16则 P （X ＝0） ＝C 40× 3 × 3 ＝81，P （X ＝1） ＝C 14×1 123 32 × ＝ ，3 3 81 P （X ＝2） ＝C 24× 1 2 2 2 24 3 × 3 ＝ 81，P （X ＝3） ＝C 34× 1 3 2 1 83 × 3 ＝ 81，P （X ＝4） ＝C 44× 1 4 2 0 113 × 23 ＝811，（8 分）概率分布为：8181813×881＋4×811＝43.（10 分） 23. （1） 当 n ＝3 时，共有 6 个点，因此 T 的最小值为 2.（3 分）（2） 首先证明：任意 n ，k ∈ N *，n ≥k ，有 C k n ＋1>C k n .若染红色的点的个数为 则 T ＝ C 63＝20； 若染红色的点的个数为 则 T ＝ C 53＝10； 若染红色的点的个数为 则 T ＝ C 43＝4； 若染红色的点的0或 6， 1或 5， 2或 4，3，则 T ＝ C 33＋ C 33＝ 2；证明：因为 C k n ＋ 1－ C k n ＝C k n －1>0，所以 C k n ＋1>C k n .设这 2n 个点中含有 p （p ∈ N ，p ≤2n ）个染红色的点， ①当 p ∈{0 ， 1， 2} 时， 3 3（ 2n －2）（ 2n － 3）（ 2n －4） T ＝C 2n － p ≥C 2n －2＝ 6 ＝4×（n －1）（n －2）（2n －3） 因为 所以 6 n ≥ 4，所以 2n － 3>n ， n (n －1)(n － 2) 3 3 T>4× ＝ 4C 3n >2C 3n .(5 分) 6 p ∈{2n －2，2n －1，2n} 时， 32n －2， ②当 T ＝C 3p ≥C 同理可得 T>2C 3n .(6 分 ) ③当 3≤p ≤2n － 3 时， T ＝C p ＋ C 2n －p ， 设 f(p) ＝ C p 3＋ C 23n －p ，3≤p ≤2n － 3， 当 3≤ p ≤ 2n － 4 时， f(p ＋1) －f(p) ＝ C p ＋1＋ C 2n －p －1－C p －C 2n －p ＝ C p － C 2n －p －1， 显然 p ≠2n － p －1， 当 p>2n － p － 1 即 n ≤p ≤2n － 4时， f(p ＋1)>f(p) ， 当 p<2n － p － 1 即 3≤p ≤n － 1 时， f(p ＋1)<f(p) ， 即 f(n)<f(n ＋1)<⋯<f(2n － 3) ；f(3)>f(4)> ⋯>f(n) ； 因此 f(p) ≥f(n) ＝ 2C 3n ，即 T ≥ 2C n 3. 综上，当 n ≥4时， T ≥2C n 3.(10 分)。

2023届江苏省苏北四市（徐州连云港宿迁淮安）高三上学期第一次调研测试英语试题（含听力）一、听力选择题1. What are the characters on the lanterns?A．Pictures.B．Poems.C．Figures.2. What determined the woman’s choice of the hotel?A．The food.B．The reviews.C．The location.3.A．Painting.B．Photography.C．Playing guitar.D．Cooking.4.A．He was good at tidying up garages.B．He helped James to build up the garage.C．James felt bad to have helped him with it.D．James helped him with some of the tidying.5. When can the flight to San Francisco take off?A．On December 23rd.B．On December 24th.C．On December 25th.二、听力选择题6. 听下面一段长对话，回答小题。

1. Where are the speakers?A．In the man’s house.B．In a clothing store.C．In a design company.2. What does the woman say about her business?A．It focuses on personal needs.B．It only provides formal clothing.C．It attracts mainly young customers.3. When will the wedding take place?A．In one week.B．In four weeks.C．In one year.7. 听下面一段较长对话，回答以下小题。

2023~2024学年度苏锡常镇四市高三教学情况调研（二）英语（答案在最后）2024.05注意：本试卷分第一卷（选择题）和第二卷（非选择题）两部分。

两部分答案都做在答题卡上。

总分为150分，考试时间120分钟。

第一部分听力(共两节,满分30分)做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节(共5小题;每小题1.5分，满分7.5分)听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1.How did the man get to the party?A.By motorbike.B.By car. B.By bus.2.When does Michelle usually get up?A.At6:00a.m.B.At6:30a.m.C.At7:00a.m.3.What will the man probably do next Monday?A.Buy a book.B.Borrow a novel.C.Visit a writer.4.How much did the woman spend on the dress?A.$120.B.$280.C.$400.5.Why does the woman want to quit her job?A.To work more flexibly.B.To spend more time reading.C.To take care of her family.第二节(共15小题;每小题1.5分，满分22.5分)听下面5段对话或独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟;听完后，各小题将给出5秒钟的作答时间。