江苏省镇江市镇江中学、扬中高级中学、等八校联考2021届高三年级12月教学质量检测数学 -含答案

2020-2021年度第一学期高三年级期中教学质量检测（物理）（满分100分，考试时间90分钟）一、单选（共有8小题，每题3分，共计24分，每题只有一个选项符合题意）1. 下面是某同学对电场中的一些概念及公式的理解，其中正确的是（）A. 由F Eq=知，电场中某点的电场强度与试探电荷所带的电荷量成反比B. 由2QE kr=知，电场中某点的电场强度仅与场源电荷所带的电荷量有关C. 由ABABWUq=知，带电荷量为1C的正电荷，从A点移动到B点克服电场力做功为1J，则A、B两点间的电势差为－1VD. 由QCU=知，电容器的电容与其所带电荷量成正比，与两极板间的电压成反比2. 如图所示，白板水平放置在地面上，在白板上用磁钉吸住一张彩纸，向右轻轻拉彩纸，未拉动，对这情景受力分析正确是（）A. 磁钉受到向右的摩擦力B. 磁钉受到向左的摩擦力C. 彩纸受到白板向左的摩擦力D. 白板受到地面向右的摩擦力3. 如图所示内壁光滑的环形槽，固定在竖直平面内，相同的小球A、B，以等大的速率v0从圆心等高处向上、向下滑入环形槽，若在运动过程中两球均未脱离环形槽，则下列叙述中正确的是（）A. A球先到达虚线右端位置B. B球先到达虚线右端位置C. 两球同时到达虚线右端位置D. 条件不足，无法确定4. 如图所示，相距l 的两小球A 、B 位于同一高度h （l 、h 均为定值）。

将A 、B 同时沿水平方向抛出。

A 、B 与地面碰撞前后，水平分速度不变，竖直分速度大小不变、方向相反。

不计空气阻力及小球与地面碰撞的时间，则（ ）A. 若A 向右、B 向左抛出，A 、B 不一定会发生相撞B. 若A 向右、B 向左抛出，A 、B 一定不会在h 高度发生相撞C. 若A 、B 都向右抛出A 、B 必然相撞D. 若A 、B 都向右抛出A 、B 可能h 高处相撞5. 如图所示，质量为M 的盒子放在光滑的水平面上，盒子内表面不光滑，盒内放有一块质量为m 的物体，某时刻给物体一个水平向右的初速度v 0，那么在物体与盒子前后壁多次往复碰撞后（ ）A. 由于机械能损耗最终两者的速度均为零B. 两者的碰撞会永远进行下去，不会形成共同的速度C. 盒子的最终速度为0mv M，方向水平向右 D. 盒子的最终速度为0()mv M m ，方向水平向右 6. 一物体所受的合外力F 随位移x 变化的图象如图所示，求在这一过程中，物体动能的变化量为（ ）A. 6JB. 3JC. 7JD. 8J7. 如图所示，弹簧p 和细绳q 的上端固定在天花板上，下端用小钩钩住质量为m 的小球C ，弹簧、细绳和小钩的质量均忽略不计。

镇江市镇江中学2020-2021年度第一学期高三年级期中教学质量检测英语试卷（本试卷共四部分；满分150 分；考试用时120 分钟）注意事项：1.答卷前，先将自己的姓名、准考证号填写在试卷和答题纸上。

2.选择题的作答：每小题选出答案后，用2B 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。

3.非选择题的作答：用0.5mm 黑色签字笔直接答在答题卡上对应的答题区域内，写在试卷、草稿纸和答题卡上的非答题区域均无效。

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 is the man most probably doing?A. Having a job interview.B. Applying for a college.C. Visiting sick kids.2.What are the speakers mainly talking about?A. A musical instrument.B. A volleyball player.C. A familiar person.3.How much is the mountain bike now?A $200. B. $160. C. $40.4.What does the man probably do?A. A visitor.B. A writer.C. A singer.5.What does the woman mean?A. She doesn’t agree with the man.B. Jason is likely to be the winner.C. Jason will fall on the ball.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。

江苏省镇江市名校2023-2024学年高三上学期12月阶段性调研英语试题学校:___________姓名：___________班级：___________考号：___________一、阅读选择Four Hotels That Will Make Your Life Easier By John Brandon For the business traveler who’s all about efficiency: check out these hotels that will get you in and out with minimum trouble.When you’re pressed for time on a business trip, nothing can infuriate you more than a slow hotel check-in process. On your next trip, try these hotels that offer a speedier check-in process.Yotel New YorkThe self-service kiosks （一体机）at this high-tech New York hotel are open 24x7 and work just like the ones you’d see at an airport. There are just five-steps to register and obtain your card key. There’s even a robotic luggage bellboy.You tap in the number of bags you’re carrying and sizes, then wait for a robot arm to swing down and store your luggage in a locker (say, for a day trip). This also speeds up the check-in process if the first thing you need to do, like me, is head to a series of meetings.Marriott Detroit AirportAnother option for business travelers in a hurry: Marriott is rolling out its mobile check-in app to 325 hotels this year, including the Marriott Detroit Airport hotel. (I’ve tested the app itself but not for a real visit quite yet.) here is the basic idea: you download the iPhone or Android app. The night before, you can “check-in” virtually. When you arrive, you get an alert that the room is ready and your key, which is already tied to your reservation, is waiting for you at the desk.Hyatt Regency MinneapolisI happened to stay at this hotel recently and liked how fast the kiosk check-in works. Like the Yotel, the kiosk asks you to insert your credit card, similar to an airport terminal. The whole process took about three minutes. When I left, I was equally impressed with the fast check-out. An agent meets you in the lobby with an iPad and asks for an email to use for a receipt. The big advantage is you never have to wait in line.1．What does the underlined word “infuriate” in Paragraph 2 most probably mean?A．To annoy.B．To remind.C．To amuse.D．To impress: 2．Which two hotels offer a mobile app for customers to check in?A．Yotel New York and Marriott Detroit Airport.B．Marriott Detroit Airport and Radisson LaCrosse.C．Marriott Detroit Airport and Hyatt Regency Minneapolis.D．Hyatt Regency Minneapolis and Radisson LaCrosse.3．Which hotel will send you a receipt by email?A．Yotel New York.B．Marriott Detroit Airport. ’C．Radisson LaCrosse.D．Hyatt Regency Minneapolis.A cleaning staff member at the Summer Palace in Beijing has been widely praised online, after footage of him explaining cultural relics and exhibitions to visitors during the National Day holiday was posted on the Internet. He has been dubbed by netizens as the most powerful cleaning monk — after a character in Chinese writer Louis Cha’s novel Tianlong Babu who disguises himself as a cleaning monk at the Shaolin Temple in Henan province.In the video, the worker, Zhang Xu spoke with such ease and confidence that it seemed like he was performing a tongue twister. What made it special was his recitation of dozens of hard-to-pronounce Buddhist sites. People thought he must be a tour guide or expert, yet he was wearing a janitor’s uniform and holding a broom. After his explanation, Zhang smiled and returned to his work as though nothing had happened. The video immediately became a trending topic on social media.Netizens expressed amazement at how ordinary people can become experts in certain areas.” Zhang is better than regular tour guides, and the palace should offer him a job as adocent (讲解员).” One netizen commented.Zhang said he was surprised he’d become famous online, as he only wanted to help the tourists who seemed puzzled. He told Beijing Daily that he had been interested in architecture since he was a child. He had been a security guard and construction worker and has always had a strong interest in traditional architecture. He often refers to books or finds relevant information online in his spare time.Zhang joined the cleaning staff at the palace in late 2021 and walks about 40,000 steps inside the palace every day, so he knows a lot about it. “The traditional architecture of the palace is not just an assembly of bricks and layers. These elements are friends who have deep history and know how to speak to people who understand them,” he said, “They are historic marvels with distinctive Asian aesthetics.”4．In which way does Zhang usually acquire knowledge about architecture?A．Consulting books and websites B．Consulting experts and guidesC．Communicating with docents D．Communicating with tourists 5．Which of the statements is TRUE according to the passage?A．Zhang used to work as a cleaning monk at the Shaolin Temple.B．Zhang spoke confidently because he was good at performing tongue twister.C．Numerous netizens spoke up for Zhang who has not been offered a job as a docent.D．Gaining popularity online came as a surprise to Zhang, whose intention was to help out.6．Which of the following words can best describe Zhang Xu?A．Cheerful and Helpful B．Brilliant and PassionateC．Generous and Humorous D．Curious and Courageous7．What’s the main idea of the text?A．The Summer palace regained popularity thanks to its janitor.B．A video on a knowledgeable cleaning monk went viral on social media.C．A cleaning staff was praised online for his expert explanation of relics.D．A cleaning staff worked hard to be an expert in cultural relics“One, two, three, post the product links!” “Please press the button and give us a thumb-up” “exactly!” the “vibe group,” which means a group of people who are pumping some life into live-streaming and coordinating with live streamers to help steer customers tobuy products. The group, also referred to as the “E-commerce straight man/crosstalk” by Chinese users, has stirred a craze in recent weeks on Chinese media platforms.For the “E-commerce crosstalk” or people who help live streamers to sell their merchandise, it is their specialization. However, others believe that this is confusing to consumers.The “E-commerce crosstalk” is also known as the center control of the live stream. The work of the center control spans across the pre, mid and post-stage of the live stream, and needs to be responsible for equipment debugging (调试), backstage operation, maintenance of the live stream order, data review and other contents.They usually create a warming vibe to help live streamers sell products such as “I want 100k likes, could you guys help me to get them, please”, “Post product links!”, “Repost!” or “Let’s join the fan club”. These are normal psychological suggestions for customers which don’t break any of the rules of how to conduct business.While the “E-commerce crosstalk” group doesn’t just control tempo, they also have another important role — they create a sense of exigency for customers, making them buy now, such as “My friends, the last one! Hurry, buy it now!” “How many are left? No, almost out of stock, only 30 left!” “Buy more today! Hurry up my friends! Go to the yellow cart, find the 1st link! Great price, great quality!”“These practices are creating an illusion (错觉) of inventory constraints to mislead customers,” Fan Xiaolin, a Beijing-based lawyer told us. The unrealistic atmosphere created by the “E-commerce crosstalk” can easily mislead consumers, causing them to make irrational purchases. The 2020 China Live E-commerce Industry Research Report shows that the average return rate of live e-commerce is as high as 30 percent to 50 percent, which is much higher than the traditional e-commerce return rate of 10 percent to 15 percent. 8．What do “E-commerce crosstalk” specialize in?A．Guiding staff to post the product lines.B．Motivating followers to click the “like” button.C．Assisting live streamers to sell goods.D．Monitoring the live stream to function smoothly.9．What is the “E-commerce crosstalk” group forbidden to do in live stream?A．To ask for a great many thumb-ups.B．To tempt the fans to shower the streamer with gifts.C．To invite consumers to join fan clubs.D．To share or forward the live stream to others.10．What does the underlined word “exigency” in paragraph 5 mean?A．Urgency B．Rhythm C．Involvement D．Motivation 11．What can be inferred from the last paragraph?A．E-commerce crosstalk can create an authentic atmosphere for viewers.B．The customers of e-commerce tend to be irrational.C．The traditional e-commerce return rate is relatively lower.D．The products of live streamers are in short supply.Exercise makes you happier than wealth, a new study says. Regular physical activity is a huge boost to mental well-being, on par with a pay rise.Instead of logging extra hours at work in hopes of getting a pay rise, maybe you should hit the gym instead, as it could make you just as happy as that extra money. An interesting new study, published in the Lancet, found that people who are physically active have a greater sense of well-being than those who are inactive — and that active individuals feel as good as inactive people who earn $25,000 more per year.Researchers from Oxford and Yale Universities used data gathered from more than 1.2 million Americans. They were asked, “How many times have you felt mentally unwell in the past 30 days, for example, due to stress, depression, or emotional problems?”Participants were also asked about their exercise habits and were able to choose from 75 diverse physical activities, including mowing the lawn, doing housework and childcare, running, weightlifting, and cycling. The researchers found that people who exercise regularly feel bad for an average of 35 days per year, whereas inactive people feel bad for an additional 18 days. From the study:“Individuals who exercised had 43 percent fewer days of poor mental health in the past month than individuals who did not exercise but were otherwise matched for several physical and socio-demographic (社会人口的) characteristics. All exercise types were associated with a lower mental health burden.”Social physical activities (i.e. team sports) had an even more positive effect, although cycling ranked highly. (I wonder if that’s because it takes place outdoors, which is always a mood booster.)It is possible to get too much exercise. From Business Insider’s write-up on the study, “The mental health of those participants who exercised for longer than three hours a day suffered more than that of those who weren’t particularly physically active.” The ideal amount seems to be three to five training sessions per week, lasting 30 to 60 minutes each.But the takeaway should be that any amount helps, so don’t stress about hitting that perfect balance: “All exercise types were associated with a lower mental health burden than not exercising.”12．Who probably has the greatest sense of well-being?A．The individual who works out more than three hours a day.B．The inactive individual who gets better paid than before.C．The man who is physically active.D．The man who works out regularly and gets a pay rise.13．Which of the following statements is true based on the study?A．Inactive people felt bad for 53 days per season.B．Active Individuals were 43 percent more likely to suffer from poor mental health.C．It doesn’t matter what forms of exercise you take.D．You’d better take exercises three to six days a week, each lasting 30 to 60 minutes. 14．Why does cycling rank highly as far as the author is concerned?A．Because it has more positive effect than other physical activities like team sports.B．Because you can build up your body more efficiently.C．Because you can work out in the open air and lift your spirits.D．Because it is an exercise which doesn’t exhaust your body too much.15．What’s the main idea of Paragraph 5-7?A．The study’s procedure.B．The study’s application.C．The study’s significance.D．The study’s findings.You may have seen videos on YouTube like: “My super productive 5 a.m. morning routine” or “Why I wake up at 4 a.m. every day and love it!” While these might seem drastic, there are benefits to developing a morning routine you can keep.Ready to reap those benefits? 161. Maintain a fixed bedtime and waking time17 . Engle recommends setting a fixed bedtime and wake-up time and sticking tothem as often as you can. Not only will this set you up for a better day ahead, it can also provide more restful sleep at night.That’s because waking up and falling asleep at the same time sets your internal clock, which makes for better quality sleep.2. Plan how much time you’ll needEngle recommends giving yourself enough time in the morning to accomplish everything you need to do. She suggests planning backward from your first engagement and waking up early enough to fit everything in.“ 18 , and increase the sense of calm and pleasure obtained from completing the routine,” says Engle.3. 19Scrolling through the news or your social media feeds is a passive activity that could detract from the productivity of your morning.“Engaging with this type of content before one is fully awake or out of bed may make it tempting to mindlessly read content, which may feel purposeful, but is actually a passive activity,” says Engle.4. Try self-affirmationSaying positive affirmations out loud or writing them down can help build confidence.20 You can choose your own affirmations or try some of these:I am smart, strong, capable, and kind.I am worthy, grateful, and blessed.Today will be a great day.A．Avoid your phone.B．Browse the website.C．Here are 4 steps you can take to build the perfect morning routine.D．Consistency is at the heart of any routine.E．It can counter negativity, and potentially benefit you in the long run.F．Engaging thoughtfully in each part of the routine may reduce rushing.G．Waking up and doing one or two activities that bring you peace and enjoyment.二、完形填空Adam Klenovich, 17, a student from Beaver Area High School, Pennsylvania, US, talks more like a seasoned CEO than a 21 teen.He has big plans to build a fashion label that would double as a 22 to promote other creatives. He also 23 holding events someday that are part concert, part fashion showcase.But he doesn’t just talk the talk. He spends most nights after school and weekends trying to make his dream 24 He’s showcasing and selling pieces from his fashion line IMPERFECT in Gallery 4413 in the Lawrenceville neighborhood.On display and for sale in the 25 are lots of colorful pieces. IMPERFECT’s26 for now is on shorts, T-shirts. Eleven percent of the money from each sale will be27 to charity. “This is how we want to help people,” said Klenovich, who 28 IMPERFECT nearly a year ago. “We’re using clothing to draw people in and then explain to people what we’re trying to do.”Klenovich got the bug to start his own business while in pandemic quarantine (隔离). He wanted to use his time being 29 at home because of COVID-19 “to put my mind to something that would 30 help me and others, too”. He liked fashion but often had trouble finding things he actually wanted to wear and things that didn’t cost a lot. “I 31 as well start making my own stuff,” he said.As a creative, Klenovich is like a sponge (海绵) who soaks up 32 wherever he goes, so the clothing he comes up with is pretty abstract. One thing all clothing has in common, 33 , is that no two pieces are exactly the same.Klenovich strives to wear something IMPERFECT wherever he goes. “It 34 a conversation,” he said. “People may ask, ‘Where did you get that?’ and I’ll give them my business card.”Klenovich and his friends are also at work on a website that helps to promote their brands. On the website, Klenovich highlights six nonprofits at a time and 35 can purchase to support.“I want to be able to plan my own missions and help people,” Klenovich said. “That’s the biggest thing for me.”21．A．unusual B．particular C．unique D．typical 22．A．bridge B．path C．platform D．tunnel 23．A．look into B．look forward to C．look up to D．look down on24．A．happen B．continue C．pass D．try 25．A．shop B．exhibition C．museum D．gallery 26．A．insistence B．focus C．attention D．permission 27．A．raised B．lent C．donated D．spent 28．A．launched B．revised C．relieved D．ended 29．A．lost B．stuck C．thrown D．frozen 30．A．immediately B．unexpectedly C．gradually D．eventually 31．A．should B．could C．might D．would 32．A．inspiration B．appreciation C．lesson D．decoration 33．A．instead B．indeed C．though D．too 34．A．sparks B．causes C．results D．affects 35．A．neighbors B．shoppers C．friends D．leaders三、语法填空阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。

2021年江苏省扬中高级中学阶段检测化学试卷（12月月考）本试卷分选择题和非选择题两部分。

共120分。

考试用时100分钟。

注意事项：答题前，考生务必将自己的学校、姓名、考试号写在答题卡上。

考试结束后，交回答题卡。

可能用到的相对原子质量：H 1 C 12 N 14 O 16 Na 23 Mg 24 Cl 35.5 Ca 40 Mn 55 Pb 207选择题（40分）单项选择题：本题包括10小题，每小题2分，共计20分。

每小题只有一个选项符合题意。

1．21世纪化学的最新定义为“化学是一门创造新物质的科学”。

下列有关说法不正确的是A．用CO2合成可降解的聚碳酸酯塑料，可以实现“碳”的循环利用B．开发利用太阳能、生物质能等清洁能源，有利于节约资源C．绿色化学的核心是应用化学原理对环境污染进行治理D．制备物质时探究化学反应中高的选择性、转化率和原子利用率，属于“绿色”的生产工艺2．下列有关化学用语表示正确的是A．质子数为53、中子数为78的碘原子：B．N 2的电子式：C．S2-的结构示意图：D．丙醛的结构简式：CH3CH2COH3．用H2O2溶液处理含NaCN的废水的反应原理为：NaCN+H2O2+H2O=NaHCO3+NH3，已知：HCN的酸性比H2CO3弱。

下列有关说法正确的是A．该反应中氮元素被氧化B．该反应中H2O2作还原剂C．0.1mol·L-1NaCN溶液中含有HCN和CN-的总数为0.1×6.02×1023D．实验室配制NaCN溶液时，需加入适量的NaOH溶液4．下列有关物质的性质和该性质的应用均正确的是A．炭具有强还原性，高温下能将二氧化硅还原为硅B．Na的金属性比Mg强，可用Na与MgCl2溶液反应制取金属MgC．光照时乙烷和氯气能发生取代反应，工业上常用该反应生产氯乙烷D．二氧化锰具有强氧化性，能将双氧水氧化为氧气5．短周期元素W、X、Y、Z 的原子序数依次增大，W与Y最外层电子数之和为X的最外层电子数的2倍，Z最外层电子数等于最内层电子数，X、Y、Z的简单离子的电子层结构相同，W的单质是空气中体积分数最大的气体。

镇江市镇江中学2020-2021年度第一学期高三年级期中教学质量检测（英语）（本试卷共四部分；满分150 分；考试用时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.What is the man most probably doing?A. Having a job interview.B. Applying for a college.C. Visiting sick kids.2.What are the speakers mainly talking about?A. A musical instrument.B. A volleyball player.C. A familiar person.3.How much is the mountain bike now?A $200. B. $160. C. $40.4.What does the man probably do?A. A visitor.B. A writer.C. A singer.5.What does the woman mean?A. She doesn’t agree with the man.B. Jason is likely to be the winner.C. Jason will fall on the ball.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。

江苏省镇江中学2021届高三上学期教学质量检测2020. 9一、单项选择题（本大题共8小题，每小题5分，共计40分.在每小题给出的四个选项中， 只有一个是符合题目要求的，请把答案添涂在答题卡相应位置上） 1 .已知集合A={x|y = lg(x+1)}, B={xM<2},则Af]B=A. (-1, 2)B. (0, 2)C. (-2, 0) 2 .复数(i 为虚数单位)的实部与虚部分别为A. 2, 1B. 2, 1C. 11, -23 .己知。

= log2().2, b = 202, c = 0.203,则A. a<b<cB. a<c<bC. c<a<bD. b<c<a4 .记S “为等差数列｛为｝的前〃项和，若%+%=24, S G =48,则｛““｝的公差为A. 1B. 2C. 4D. 85 .已知点C 为△OAB 边AB 上一点，且AC=2CB,若存在实数小,77,使得反= 〃?GX +〃丽, 则〃的值为D-16 .在同一直角坐标系中，函数），=《，），= loga （x + ,）（a>0,且aWl ）的图象可能是 ci27 .已知边长为2的正六边形ABCDEF,则衣•加的值是A. 6B. -6C. 2JJD. 一2、/J前〃项和为S “，则5丽=A. V202T+1B. V2022-1C. 72021-1D. J2022 +1 二、多项选择题(本大题共4小题，每小题5分，共计20分.在每小题给出的四个选项 中，至少有两个是符合题目要求的，请把答案添涂在答题卡相应位置上)D.(-2, - 1) D. 11, -2iB. 08.已知函数/（x ） = /的图象过点（4, 2）,令%=] /(??+ 1) +SeN'）,记数列｛q ｝的9.下列函数中，在其定义域内是偶函数有A. y = xcosxB. y = cx + x2C. y = lgv?--2D. y = xsinx10.已知下列四个条件，能推出成立的有a bA. b>Q>aB. Q>a>bC. a>Q>bD. a>b>Q11.函数7(x) = sinx +J5cosx 的A.图象对称中心为( = + k/r, 0)(A-eZ)3B.增区间为［一三+ 2%/r , — + 2k^］(keZ)6 6C.图象对称轴方程为x = —£ + k;r, keZ3D.最大值是2,最小值是-2IO%*12 .已知函数/") =〈’’•一，当时，/(X)的取值范围为［-16,+8),-2A; x > 0则切取下列哪些值时符合题意A. -2B. 4C. 6D. 10三、填空题(本大题共4小题，每小题5分，共计20分.请把答案填写在答题卡相应位置上)13.首届中国国际进口博览会在上海举行，某高校拟派4人参加连续5天的志愿者活动，其中甲连续参加2天，其他人各参加1天，则不同的安排有种.14.随机变量彳的分布如下表，则E(54+4)=.15.在平而直角坐标系中，已知点A(-l, 0), B(2, 0), E, F是y轴上两个动点，且口目 =2,则福-B户的最小值为.16.设广(x)是函数)，= /3)的导数，/〃(幻是广(大)的导数，若方程/"(幻=0有实数解小，则称点（见，/（4））为函数y = /（x）的“拐点”.已知：任何三次函数都有拐点,1 Q又有对称中心，且拐点就是对称中心.设/（幻=-/ 一 2/+一工+ 1,数列｛/｝的通项公式为a n = 2/1-7 ,则 /（《）+ /（/）+ …+ /（4） =.四、解答题（本大题共6小题，共计70分.请在答题卡指定区域内作答.解答时应写出文字说明、证明过程或演算步骤）17.（本小题满分10分）在数列｛4｝中，％=2,若平面向量与平行，则在①£=（〃+ 1，〃“），£=（〃，/7）；②/=（2, 勺+2）, ~c n =（a n+I, a n）；③£=（1，6+「%）,[=（〃, 勺+1）这三个条件中任选一个，求数列｛”“｝的通项公式.注：如果选择多个条件分别解答，按第一个解答计分.18.（本小题满分12分）在三角形ABC中，角A, B, C分别对应这边o, b, c.已知smB=3,且拄=℃.13（1）求—^+―!—的值： tan A tan C（2）若 accosB = 12,求 a+c 的值.19.（本小题满分12分）已知数列｛q｝是首项为％的等比数列，前〃项和5“中，加，S?成等差数列.（1）求数列｛%｝的通项公式；（2）设d=bgjqj,若/=/ + / +…+ ^—, 求证;2 4%她々% 6 220.（本小题满分12分）在数列｛〃“｝中，％ = 1, 4“+] = 2% +1.（1）求证数列｛4+1｝为等比数列，并求“〃关于〃的通项公式;（2）若'=log式+1）,求数列｛（〃” + 1）2｝的前〃项和T n.注：将第（2）小题结果化为7>A + （B〃+ CW”的形式.21 .（本小题满分12分）为了监控某种零件的一条生产线的生产过程，检验员每隔30mm 从该生产线上随机抽 取一个零件，并测量其尺寸（单位：cm ）.下面是检验员在一天内依次抽取的16个零件的尺 寸：16Z （i-8寸418.439,-x ）（/-8.5） = -2.78 ,其中为抽取的第i 个零件的尺寸,/-11i=l, 2, (16)（1）求（七，2,…，16）的相关系数人并回答是否可以认为这一天生产的零件 尺寸不随生产过程的进行而系统地变大或变小（若卜|<0.25,则可以认为零件的尺寸不随 生产过程的进行而系统地变大或变小）；（2）一天内抽检零件中，如果出现了尺寸在（i-3s, i + 3s ）之外的零件，就认为这条 生产线在这一天的生产过程可能出现了异常情况，需对当天的生产过程进行检查.①从这一 天抽检的结果看，是否需对当天的生产过程进行检查？②在丘-3s,嚏+ 3s ）之外的数据称 为离群值，试剔除离群值，估计这条生产线当天生产的零件尺寸的均值与标准差（精确到 0.01）.n_人2>$一心 ____________________附：样本（为，y f ）G-b 2,…，■的相关系数；= 0H —— Q -------- y /0.008——叫^0.09 .22.（本小题满分12分）已知函数/（x ） = 〃ei （1）当〃=e 时，求曲线），= /（©在（1, 7（I ））处的切线方程: （2）若/（x ）21,求。

2024届江苏省溧中、省扬中、镇江一中、江都中学高三下学期模拟考试（一）数学试题注意事项1．考生要认真填写考场号和座位序号。

2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。

第一部分必须用2B 铅笔作答；第二部分必须用黑色字迹的签字笔作答。

3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。

一、选择题：本题共12小题，每小题5分，共60分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1．设m ，n 是两条不同的直线，α，β是两个不同的平面，下列命题中正确的是（ ） A ．若αβ⊥，m α⊂，n β⊂，则m n ⊥ B ．若//αβ，m α⊂，n β⊂，则//m n C ．若m n ⊥，m α⊂，n β⊂，则αβ⊥ D ．若m α⊥，//m n ，//n β，则αβ⊥2．i 是虚数单位，复数1z i =-在复平面上对应的点位于（ ） A ．第一象限B ．第二象限C ．第三象限D ．第四象限3．函数()xf x e ax =+（0a <）的图像可以是（ ）A ．B ．C ．D ．4．已知集合{}2|320M x x x =-+≤，{}|N x y x a ==-若M N M ⋂=，则实数a 的取值范围为（ ）A ．(,1]-∞B ．(,1)-∞C ．(1,)+∞D ．[1,)+∞5．甲、乙、丙、丁四位同学利用暑假游玩某风景名胜大峡谷，四人各自去景区的百里绝壁、千丈瀑布、原始森林、远古村寨四大景点中的一个，每个景点去一人．已知：①甲不在远古村寨，也不在百里绝壁；②乙不在原始森林，也不在远古村寨；③“丙在远古村寨”是“甲在原始森林”的充分条件；④丁不在百里绝壁，也不在远古村寨．若以上语句都正确，则游玩千丈瀑布景点的同学是（ ） A ．甲B ．乙C ．丙D ．丁6．将函数()sin 2f x x =的图象向左平移02πϕϕ⎛⎫≤≤ ⎪⎝⎭个单位长度，得到的函数为偶函数，则ϕ的值为（ ） A ．12π B ．6π C ．3π D ．4π 7．已知，都是偶函数，且在上单调递增，设函数，若，则（ ）A ．且B ．且C ．且D ．且8．将函数()3sin 2cos 2f x x x =-向左平移6π个单位，得到()g x 的图象，则()g x 满足（ ） A ．图象关于点,012π⎛⎫⎪⎝⎭对称，在区间0,4π⎛⎫ ⎪⎝⎭上为增函数 B ．函数最大值为2，图象关于点,03π⎛⎫⎪⎝⎭对称 C ．图象关于直线6x π=对称，在,123ππ⎡⎤⎢⎥⎣⎦上的最小值为1 D ．最小正周期为π，()1g x =在0,4⎡⎤⎢⎥⎣⎦π有两个根 9．若不等式22ln x x x ax -+对[1,)x ∈+∞恒成立，则实数a 的取值范围是（ ） A ．(,0)-∞B ．(,1]-∞C ．(0,)+∞D ．[1,)+∞10．某网店2019年全年的月收支数据如图所示，则针对2019年这一年的收支情况，下列说法中错误的是（ ）A ．月收入的极差为60B ．7月份的利润最大C ．这12个月利润的中位数与众数均为30D ．这一年的总利润超过400万元 11．设,a b 为非零向量，则“a b a b +=+”是“a 与b 共线”的（ ） A ．充分而不必要条件B ．必要而不充分条件C ．充要条件D ．既不充分也不必要条件12．已知甲、乙两人独立出行，各租用共享单车一次（假定费用只可能为1、2、3元）．甲、乙租车费用为1元的概率分别是0.5、0.2，甲、乙租车费用为2元的概率分别是0.2、0.4，则甲、乙两人所扣租车费用相同的概率为（ ） A ．0.18B ．0.3C ．0.24D ．0.36二、填空题：本题共4小题，每小题5分，共20分。

江苏省镇江中学2021届高三上学期教学质量检测2020．9一、单项选择题（本大题共8小题，每小题5分，共计40分．在每小题给出的四个选项中，只有一个是符合题目要求的，请把答案添涂在答题卡相应位置上） 1．已知集合A ＝{}lg(1)x y x =+，B ＝{}2x x <，则AB ＝A ．(﹣1，2)B ．(0，2)C ．(﹣2，0)D ．(﹣2，﹣1) 2．复数（i 为虚数单位）的实部与虚部分别为A ．2，1B ．2，iC ．11，﹣2D ．11，﹣2i 3．已知2log 0.2a =，0.22b =，0.30.2c =，则A ．a ＜b ＜cB ．a ＜c ＜bC ．c ＜a ＜bD ．b ＜c ＜a 4．记n S 为等差数列{}n a 的前n 项和，若4524a a +=，648S =，则{}n a 的公差为 A ．1 B ．2 C ．4 D ．85．已知点C 为△OAB 边AB 上一点，且AC ＝2CB ，若存在实数m ，n ，使得OC OA OB m n =+，则m ﹣n 的值为 A ．13-B ．0C ．13D ．236．在同一直角坐标系中，函数1xy a =，1log ()2a y x =+(a ＞0，且a ≠1)的图象可能是7．已知边长为2的正六边形ABCDEF ，则AC EF ⋅的值是A ．6B ．﹣6C ．D ．- 8．已知函数()f x x α=的图象过点(4，2)，令1(1)()n a f n f n =++(n N *∈)，记数列{}n a 的前n 项和为n S ，则2021S ＝A 1B 1C 1D 1二、 多项选择题（本大题共4小题，每小题5分， 共计20分．在每小题给出的四个选项中，至少有两个是符合题目要求的，请把答案添涂在答题卡相应位置上） 9．下列函数中，在其定义域内是偶函数有A ．cos y x x =B ．2e y x x =+ C ．y = D ．sin y x x = 10．已知下列四个条件，能推出11a b<成立的有 A ．b ＞0＞a B ．0＞a ＞b C ．a ＞0＞b D ．a ＞b ＞011．函数()sin f x x x =的 A ．图象对称中心为(23k ππ+，0)(k ∈Z) B ．增区间为[526k ππ-+，26k ππ+](k ∈Z) C ．图象对称轴方程为3x k ππ=-+，k ∈ZD ．最大值是2，最小值是﹣212．已知函数312, 0()2, 0x x x f x x x ⎧-≤=⎨->⎩，当x ∈(-∞，m ]时，()f x 的取值范围为[﹣16，+∞)，则m 取下列哪些值时符合题意A ．﹣2B ．4C ．6D ．10三、填空题（本大题共4小题， 每小题5分，共计20分．请把答案填写在答题卡相应位置上）13．首届中国国际进口博览会在上海举行，某高校拟派4人参加连续5天的志愿者活动，其中甲连续参加2天，其他人各参加1天，则不同的安排有 种． 14．随机变量ξ的分布如下表，则E(5ξ＋4)＝ ．15．在平面直角坐标系中，已知点A(﹣1，0)，B(2，0)，E ，F 是y 轴上两个动点，且EF＝2，则AE BF ⋅的最小值为 ．16. 设()f x '是函数()y f x =的导数，()f x ''是()f x '的导数，若方程()f x ''＝0有实数解0x ，则称点(0x ，0()f x )为函数()y f x =的“拐点”．已知：任何三次函数都有拐点，又有对称中心，且拐点就是对称中心．设3218()2133f x x x x =-++，数列{}n a 的通项公式为27n a n =-，则128()()()f a f a f a +++＝ ．四、解答题（本大题共6小题，共计70分．请在答题卡指定区域内作答．解答时应写出文字说明、证明过程或演算步骤） 17．（本小题满分10分）在数列{}n a 中，12a =，若平面向量与平行，则在①n b ＝(1n +，n a )，n c ＝(n ，1n a +)；②n b ＝(2，2n a +)，n c ＝(1n a +，n a )；③n b ＝(1，1n n a a +-)，n c ＝(n ，1n a +)这三个条件中任选一个，求数列{}n a 的通项公式．注：如果选择多个条件分别解答，按第一个解答计分． 18．（本小题满分12分）在三角形ABC 中，角A ，B ，C 分别对应这边a ，b ，c ．已知sinB ＝513，且b 2＝ac ． （1）求11tan A tan C+的值； （2）若ac cosB ＝12，求a ＋c 的值． 19．（本小题满分12分）已知数列{}n a 是首项为114a =的等比数列，前n 项和n S 中，1S ，4S ，2S 成等差数列． （1）求数列{}n a 的通项公式； （2）设12log n n b a =，若12231111n n n T b b b b b b +=+++，求证1162n T ≤<．20．（本小题满分12分）在数列{}n a 中，11a =，121n n a a +=+．（1）求证数列{}1n a +为等比数列，并求n a 关于n 的通项公式； （2）若2log (1)n n b a =+，求数列{}(1)n n a b +的前n 项和n T ． 注：将第（2）小题结果化为1A (B C)n n T n q+=++的形式．21．（本小题满分12分）为了监控某种零件的一条生产线的生产过程，检验员每隔30min 从该生产线上随机抽取一个零件，并测量其尺寸（单位：cm ）．下面是检验员在一天内依次抽取的16个零件的尺寸：经计算得16i 119.9716i x x ===∑，0.212s ==≈，18.439≈，161()(8.5) 2.78i i x x i =--=-∑，其中为抽取的第i 个零件的尺寸，i ＝1，2， (16)（1）求(i x ，i )(i ＝1，2，…，16)的相关系数r ，并回答是否可以认为这一天生产的零件尺寸不随生产过程的进行而系统地变大或变小（若0.25r <，则可以认为零件的尺寸不随生产过程的进行而系统地变大或变小）；（2）一天内抽检零件中，如果出现了尺寸在(3x s -，3x s +)之外的零件，就认为这条生产线在这一天的生产过程可能出现了异常情况，需对当天的生产过程进行检查．①从这一天抽检的结果看，是否需对当天的生产过程进行检查？②在(3x s -，3x s +)之外的数据称为离群值，试剔除离群值，估计这条生产线当天生产的零件尺寸的均值与标准差（精确到0.01）．附：样本(i x ，i y )(i ＝1，2，…，n )的相关系数ni inx y nx yr-=∑∑0.09≈．22．（本小题满分12分）已知函数1()eln ln x f x a a x -=-+．（1）当a ＝e 时，求曲线()y f x =在(1，(1)f )处的切线方程； （2）若()1f x ≥，求a 的取值范围．参考答案1~4AABC 5~8ADBB9．CD 10．ABD 11．ABD 12．ABC 13．24 14．15 15．﹣3 16．8 17．18．19．20．21．22．。