【市级名校联考Word】江苏省宿迁市名校2016-2017学年高一下学期期中考试英语 (有答案)

泗洪中学2016-2017学年度第二学期期中考试高一物理试卷总分：120分 考试时间：100分钟一．单项选择题:每小题只有一个．．．．选项符合题意（本大题共23小题，每小题3分，共69分）. 1．历史上第一次在实验室比较精确地测出引力常量的科学家是 A ．开普勒B ．牛顿C ．卡文迪许D ．伽利略2．匀速圆周运动的性质是A ．匀速运动B ．速度不变的曲线运动C ．加速度不变的曲线运动D ．变加速度的曲线运动3．物体在两个相互垂直的力作用下运动，力F 1对物体做功3J ，物体克服力F 2做功4J ，则F 1、F 2对物体做的总功为A.5JB.7JC.-1JD.1J4．关于地球同步卫星，下列说法中正确的是A ．同步卫星处于平衡状态B ．同步卫星的高度是一定的C ．同步卫星的速度是不变的D ．同步卫星的速度大于第一宇宙速度 5．下列说法中正确的是A ．当物体做自由落体运动时，重力对物体做负功B ．当物体做自由落体运动时，重力势能增大C ．当物体做斜抛运动时，在上升阶段其重力势能增大D ．当物体做斜抛运动时，在上升阶段重力对物体做正功6．设地球表面的重力加速度为g ，物体在距地面R （R 是地球半径）处，由于地球作用而产生的加速度为0g ，则0/g g 为 （ ） A ．1:2 B ．2:1 C ．4:1 D ．1:47. 质量为m 的物体由静止开始自由下落，由于空气阻力作用，下落的加速度为0.2g ,在物体下落h 的过程中，下列说法中正确的是A.重力对物体做功0.2mghB.物体的动能增加了0.2mghC.物体下落前的重力势能是0.2mghD.物体的机械能减少了0.2mgh8. A 、B 两颗卫星均围绕地球做匀速圆周运动，轨道半径分别为1：4，则A 、B 两颗卫星的线速度之比为A. 1:8B. 8:1C. 1: 2D. 2:19．如图所示，甲，乙两人分别站在赤道和纬度为600的地面上，他们随地球一起绕地轴做匀速圆周运动，则下列物理量相同的是 A ．线速度B ．周期C ．向心力D ．向心加速度10．一个质量为1kg 的物体，以2m/s 的速度在光滑水平面上向右滑行，从某个时刻起，在物体上作用一个向左的水平力，经过一段时间，物体的速度方向变为向左，大小仍然是2m/s ，在这段时间内水平力对物体做的功为A ．32JB ．8JC ．16JD ．0J11. 如图是演示小蜡块在玻璃管中运动规律的装置。

江苏省宿迁市名校2016-2017学年高一英语下学期期中试题总分：120分考试时间：120分钟第Ⅰ卷选择题（三部分，共85分）第一部分：听力（共两节。

共20小题：每小题1分，满分20分）第一节听下面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，并标在试卷的相应位置。

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 has happened to Harvey's insurance policy?A. It was lost somewhere.B. It decreased in value.C. It was given up.2. When will the two speakers meet?A. At 8:30.B. At 9:00.C. At 9:30.3. What does the woman mean?A. The shirt is very expensive.B. The shirt needs to be washed again.C. The man should get his money back.4. Who has escaped?A. The murderers.B. The murderess.C. The other three.5. What does the woman imply?A. Mathew is not telling her the truth.B. Mathew doesn't know how their friends found out.C. Mathew didn’t know that she failed her class.第二节听下面5段对话或对白，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，并标在试卷的相应位置。

绝密★启用前【全国校级联考】江苏省宿迁市名校2016-2017学年高一下学期期中考试英语试题注意事项：1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上第I 卷（选择题）请点击修改第I 卷的文字说明 一、单项选择1．However, we refer to Donald Trump as great success not merely because he has been electe d President of the USA. A. a; the B. 不填;theC. a;不填D. 不填；不填2．Our bod i es are strengthened by t aking exercise. , our minds are developed by learning.A. FrequentlyB. Sim i lar l yC. Conve nientl yD. Hope ful ly3．It is said that he is to flee to Taiwan because of the campaign against him. A. possible B. maybe C. probable D. likely4．Th e factory is in difficulty now and there are more than 20 big companies waiting in the wings to some of its business. A. take over B. take up C. takeoff D. take away5．Th e recent survey shows that lack of parents’ love is the leading factor (因素）that results in a teenager in computer games. A. losing B. lostC. being lostD. to be lost6． with the passengers on the missing plane, their families were sitting in front of the television all day and all night, anxiously for the latest news. A. Concerned; waiting B. Concerning; waiting C. Concerned; waited D. Concerning; waited 7． seems to be a strong competition in China for senior high students to enter universities does exist in other countries as well. A. What B. It C. There D. That试卷第2页，总16页8．Many people think it to let farmers have their own land. In that way, they can farm the land by themselves, and food production will be higher. A. make sure B. make useC. makes senseD. makes contributions9．Because he had too much pressure at work, my uncle ’s health finally . A. broke up B. broke down C. broke away D. broke out 10．The commission has invited interested parties to submit comments, and these are in.A. declaringB. bombingC. decoratingD. pouring11．— Was it because Jack came late for school _________ Mr. Smith got angry? —Yes. He almost missed the class. A. why B. who C. where D. that12．Mr. Wang has donated all his books he collecte d n his life to our school’s library,deserves praising. A. that B. where C. which D. when13．T h e new road b uilt in this mon th is of the old one tha t w as buil t in 2011.. A. more than three times the width B. three times more than the width C. three times the wi dth more than D. more three times than the width14．Some students volunteered to make a speech in the English class, and our te acher asked us to make some on their performance. A. opinions B. comments C. questions D. choices15．一________is the distance from the hospital to the museum? —Not far , ________A. How far ; in walking distanceB. How far ; within walking distanceC. What ; during walking distanceD. What ; within walking distance 二、完形填空minded and one that doesn’t know when to let go. As my daughter, Nicole, prepares to leave home for college, I’m discovering how hard it is to stay on the __ side of this line. When I hold __ the apron strings (围裙带)connecting us, Nicole, eager to __ independence, tries to loosen my grasp. What results is a (an) __ mother -daughter, push-me, pull-you kind of tango(探戈舞). For the past two years, i t’s gone like this:My question: “Have you thought of taking an advanced placement class (高阶课程）so that you can earn college credit?”Nicole ’s __ : “No, I’m not interested in that.”Two months ago, she was __ to a great university. However, I was still the mother having a __ time letting go. The night before the introductory meetingof the university, I had read the course catalog carefully and __ courses which I thought looked good. We met on the campus the next afternoon, and Nicole’s face __ with excitement. “I have had my entire schedule figured out,” she said. “Already?” I was astonished, __ she should have discussed it with me. I examined the schedule. Nicole hadn’t taken a (an) __ one of the courses I had suggested. Every course she had chosen __ suited her interests. Just then I saw a mature, capable young woman with a ___mind and the ability to shape her future. She no longer needed her mother's __ every thing for her. I felt proud, though still a bit __. I __ t he lessons carefully. Nicole has struggled to lea rn over the past 18 years: __, sympa thy, an d hard work. There have been a few holes along the way. __, sh e is well-equipped and eager to __ the future. The next step, I recognized, was mine to take: giving my daughter and myself the __ w e both needed.16．A. left B. right C. either D. each 17．A. onto B. up C. back D. out 18．A. keep B. refuse C. taste D. bear19．A. embarrassing B. relaxing C. lively D. beautiful 20．A. comment B. word C. concept D. response 21．A. received B. invited C. treated D. accepted 22．A. good B. great C. hard D. easy23．A. taken B. underlined C. offered D. read 24．A. lit up B. built up C. turned up D. made up 25．A. imagining B. thinking C. hoping D. adding 26．A. only B. just C. even D. single27．A. mostly B. hardly C. exactly D. slightly 28．A. sharp B. normal C. different D. same29．A. encouraging B. deciding C. disagreeing D. agreeing 30．A. anxious B. excited C. sad D. tense31．A. reviewed B. observed C. checked D. studied 32．A. ability B. honesty C. responsibility D. beauty 33．A. Therefore B. Instead C. Still D. Besides 34．A. hug B. discover C. determine D. lead35．A. character B. strength C. relief D. independenc e 三、阅读理解Aava Whistler HotelStar Ratings: ★★★ Location ： Whislter试卷第4页，总16页Rooms ： 192Stay at the Aava Whistler Hotel (formerly Coast Whistler Hotel) and experience a great vacation. The Aava Whistler Hotel is within minutes from over a hundred shopping malls and restaurants. It also has a great number of recreational facilities, including swimming, diving and even skiing. Hotel services include 24-hour reception, laundry and room service. Guests can stay in cozy rooms equipped with air-conditioning, bathroom and television. From CN ￥496 per night. Best Western Cairn Croft HotelStar Ratings ：★★★ Location: East Lundy’s L ane Room:l66Relax and unwind at the Best Western Cairn Hotel. This resort-style hotel is located just minutes from the airport. At the Best Western Cairn Croft, guests can enjoy a large number of recreational facilities, including children’s activities, s ightseeing and a swimming pool. Business travelers can also take advantage of spacious meeting and banqueting facilities for hosting corporate events. All rooms come with basic amenities(便利设施). From CN ￥439 per night. Clarion Hotel ＆Suites Downtown MontrealStar Ratings ：★★★ Location：Montreal Rooms ：266Conveniently located just 20 minutes from the airport, the Clarion Hotel ＆Suite Downtown Montreal is a moderately-priced three-star hotel that provides services to both business and leisure travelers. The Clarion has spacious meeting facilities and modern business centers for business travelers. It also has a sauna and whirlpool where guest can relax. All rooms come with basic amenities, including cable TV and aDelta Bow Valley HotelStar Ratings：★★★ Location：CalgaryRooms：398The Delta Bow Valley Hotel is located a couple of blocks north of Olympic Plaza, east of James Short Park, and north-east of the Petro-Canada Centre. Apart from business and recreational services such as a business centre, fitness centre and restaurant, all rooms in the Delta come with a mini-bar and in-house movies. From CN ￥l, 227 per night.36．What do all four of the hotels have in common?A. They all provide a room with a mini bar.B. They all have the same number of roomsC. They are all close to the airportD. They all have a three star ratings.37．Which hotel offers facilities for children’s activities?A. Clarion Hotel＆Suites Downtown MontrealB. Best Western Cairn Croft HotelC. Aava Whistler HotelD. Delta Bow Valley Hotel38．If you want to check in to a hotel at three o’clock in the morning you can stay at ______.A. Delta Bow Valley HotelB. Best Western Cairn Croft HotelC. Clarion Hotel＆Suites Downtown Montreal试卷第6页，总16页D. Aava Whistler HotelWalls and wall building have played a very important role in Chinese culture. In ancient times, not only towns and villages, but also the houses and the temples within them were surrounded with walls. Also, the houses had no windows overlooking the street. Thus, walking in a city would give the feeling of wandering around a huge maze (迷宫).The word “city ’ in Chinese also means “wall". The god of walls and mounts, whose duty was, and still is, to protect and be responsible for the welfare of the residents in these cities, villages, houses and temples. So a great and extremely hard task such as constructing a wall, which was supposed to run the length of the country, might not sound absurd(荒诞的).However, it is indeed a common mistake to think of the Great Wall as a single building structure, and it would also be a mistake to assume that it was built during a single dynasty. Actually, several dynasties somehow contributed to the construction of the Great Wall, the foundations of which had been laid many centuries ago. It was during the fourth and third centuries BC that warring states started building walls lo protect their kingdoms, both against one another and against the northern nomads (游牧民族).The Great Wall played an important role in t h e growth of Chinese economy in history. Many settlements were established along the new border. Armies were instructed to reclaim (开垦) wasteland and to plant crops there. Also, roads and canals were built. All of the work greatly helped increase the country's trade and cultural exchanges with many remote areas and also with the southern, central and western parts of Asia. 39．Why did ancient Chinese cities seem like a maze? A. Because th e outside walls of houses had no windows. B. Because th ere were usually more walls than houses. C. Because the word “city” means “wall”.D. Because there were legends about the god of walls.40．According to the passage, constructing a wall running the length of the country . A. was an order from the god of walls and mounts B. might make sense within Chinese cultureC. was a completely absurd taskD. seriously prevented the spread of Chinese culture41．The second paragraph is mainly about.A. why the Great Wall is so popularB. how advanced the Great wall wasC. who should pay a visit to the Great WallD. how the Great Wall was constructedWould you eat a ready meal from t h e fridge rather than cook by yourself? Have you been doing Internet shopping rather than going to t h e stores? What can’t you be bothered to do?A study into how lazy British people are has found more than half of the adults are so idle (懒散的）that they’d catch the lift rather than climb two flights of stairs.Just over 2000 people were quizzed by independent researchers at Nuffield Health, Britain's largest healt h center. The results were extremely surprising.About one in six people questioned said if their remote control was broken, they would continue watching the same channel rather than get up.More than one third of those questioned said they would not run to catch a bus. Wo rr yingly, of the 654 respondents wit h children, 64% said they were often too tired to play with them.This led the report to conclude that it's no wonder that one in six children in the UK are classified as obese (very fat) before they start school.Dr Sarah Dauncey, medical director of Nuf f ie l d Healt h, said,“ People need to get fitter, not just for their own reason, but for the reason for their families, friends and evidently (明显地；显然）their pets too.”"If we don't start to take control of t his problem, a whole generation will become too unfit to perform even the most fundamental tasks."And Sco t land's largest city, Glasgow, was shamed as the most idle city in the UK, with 75% questioned admi tting they do not ge t enough exercise, followed closely by Birmingham and Southampton, both with 67%.The results bring serious challenges for the National Health Service, where obesity-related illnesses such as heart disease and cancer have been on a steady increase for the past 40 years and are costing billions of pounds every year. 42．How many people questioned don’t play with their children?A. 1280.B. More than 333.C. 654.D. About 420.43．The study leads us to believe that .A. the pets in the UK will be in trouble if their owners keep their way of lifeB. Glasgow people feel ashamed because they don't get enough exerciseC. British people are the laziest around the world试卷第8页，总16页D. five sixths of the British children are healthy 44．How does the author convince the readers? A. By presenting the results of a study. B. By providing answers to questions. C. By interviewing some experts. D. By telling a story.The notice was posted next to the guests' mailboxes in the apartment building I'd just moved into in Brook lyn, New York. “A Mitzvah for Mrs. Green,” it read. “ Sign up to drive Mrs. G in 3B home from her chemotherapy treatments twice a month .” Since I wasn't a driver, I couldn't add my name, but the word mitzvah stayed in my thoughts after I went upstairs. It's a Hebrew word that means “to do a good deed” . And according to my grandmother, it also had another meaning. This was the one she was always pointing out to me because she'd noticed how shy I was about letting people do things for me. Linda, it's a blessing to do a mitzvah for someone else, but sometimes it's a blessing to let another person do something for you.”Grandma would be shaking her head at me right now. Several of my friends had offered to help me settle in after the moving men left, but I'd said I could manage. Letting them help would have interfered with my image of myself as a capable and independent woman of 21.Snowflakes had been falling past my window for several hours when it came time to leave for class. I put on two sweaters, a coat, a wool hat and boots, making for the bus stop. In this December storm it was a hard journey. As I tied around my neck the blue scarf that Grandma had knitted for me, I could almost hear her voice: “Why don'tA thousand reas ons came into my mind: I don’t know, my neighbors; I don't like to disturb others; I feel funny asking for favors. Pride would not let me knock on a door and say, "It's a 10-minute ride by car but a long wait for the bus, and it’s a 30-minute bus ride, so could you possibly give me a lift to school ?I labored to the bus stop, reaching it just as a bus went by.Three weeks later, on the night of my final exam, the snow was falling steadily. I made my way to the bus slop. For an hour, I stretched my neck, praying desperately that a bus would come. Then I gave up. The wind at my back pushed me toward home, and I prayed, "Dear God, how can I get to school? What should I do?As I pulled Grandma's scarf more tightly around my neck, again I seemed to hear that whisper: Ask someone for a lift! It coul d be a m i t zvah.That idea had never really made sense to me. And even if I wanted to ask someone for a good deed, which I did not, there wasn't a soul on the street.But as I pashed the door of my apartment building open, I found myself face to face with a woman at the mailbox. She was wearing a brown coal and had a set of keys in her hand. Obviously she had a car, and just as obviously, she was going out. In that split second, desperation overcame pride, I blurted, “Could you possibly give me a lift? I hurriedly exp lained, “ I never ask anybody for a lift, but...”An odd look crossed the woman's face, and I added, "Oh! I live in 4R. I moved in recently. ”“I know, she said. “I’ve seen you through the window.” Then, without hesitation, “Of course, I’ll give you a lift. Let me get my car key.”“Your car key?” I repeated. “ Isn't that it in your hand?”She looked down. “No, no, I was just going to get my mail. I'll be right back.” And she试卷第10页，总16页disappeared upstairs, ignorin g my “Ma'am! Please! I don't mean to put you out!” I was terribly embarrassed.But when she came back, she spoke so warmly that I stopped feeling uncomfortable. “You know the way better than I,” she said. "Why don't you drive?” “ I can’t,” I said. Now I fe lt uneasy again.She just laughed and patted me on the hand, saying, “It’s not so important,” and then I laughed, too.“ You remind me of my grandmother,” I said.At that, a slight smile crossed her lips. “Just call me Grandma Alice. My grandchildren do.”When she dropped me off, I thanked her again and again and stood there waving as she drove away. My final exam was a piece of cake compared with the difficult experience I'd gone through to get to it, and asking Grandma Alice for help had relaxed me so tha t after class I was able to ask easily, “ Is anyone going my way? ” It turned out that while I'd been waiting for a bus every night, three fellow students passed my apartment house. "Why didn't you say something before?" they chorused. Back home as I walked up the stairs . I passed Grandma Alice leaving her neighbor’s apartment. “ Good night, Mrs. Green. See you tomorrow,” the neighbor was saying. Mrs. Green, the woman with cancer. “Grandma Alice “ was Mrs. Green.I stood on the stairs, my hand covering my mouth: I had asked a person struggling with cancer to go out in a snowstorm to give me a lift to school. “Oh, Mrs. Green, I stammered, “ I didn't realize who you were. Please forgive me.”I forced my legs to move me up the stairs. In my apartment, I stood still, not taking my coat off. How could I have been so insensitive? In a few seconds, someone tapped on“May I tell you something?" she asked. I nodded slowly, motioning her toward a chair, sinking down onto my couch. “I us ed to be s o strong.” she said. She was crying. “I used to be able to do things for other people . Now everybody keeps doing things for me, giving me things, cooking my meals and taking me to places where I want to g o. It's not that I don't appreciate it, but I don't have chances. Tonight before I went out to get my mail, I prayed to God to let me feel like part of the human race again. Then you came along ...”45．What does the word 'Mitzvah' mean in the first paragraph?A. Asking for helpB. Refusing helpC. Helping othersD. Thanks for others’ help46．The author didn't let her friends help her settle in because.A. her friends were very busyB. it would have an effect on her image of being capable and independentC. it would bring her friends much troubleD. her grandmother didn't agree to it47．What does the underlined sentence suggest?A. the author decided to ask for help without any ideasB. the author would no longer have his own prideC. the author would be desperate for everD. the author wouldn't be proud for a short time48．After final exam, the author found that .A. the exam was difficultC. her classmates were more friendly to herD. it was easy for her to ask for help49．Knowing Grandma Alice was Mrs. Green, the author felt. A. Proud B. EncouragedC. EmbarrassedD. Pleased50．The main idea of this passage is.A. giving help not getting helpB. giving help is better than getting helpC. that a person who gets help is to blameD. both giving help and getting help can reflect the warmth of the world第II 卷（非选择题）请点击修改第II 卷的文字说明 四、任务型阅读If you are a Wet Blanket (a person who doesn't enjoy himself / herself and thus prevents others from enjoying themselves) when it comes to nature and your kid, you are most likely a caring, protective parent who wants to keep your child safe and sound. You may be so determined to protect your kid from dirt , sunburn, or scratches (划伤）that you try to avoid the outdoors. Or you may just find muddy clothes and sandy toes require too much time to wash. Perhaps you hate to get dirty yourself. The natural world may just make you nervous and you might w orry those bugs (虫子）and bats will suck you dry. It may be that you just never got the chance to be outdoors when you were a kid and now know nothing about what to do with your kid.While it is every care-giver's job to protect their kid, your worries may cause your child to grow up as a Wet Blanket as well. If you prefer the indoors yourself, you may be ke ep ing your kid from outdoor experiences without even realizing it. Your attitudes about nature have a huge influence on how comfortable your kid feels outside. You may need to go against your own nature and "open the door to get your kid outside!"You may already realize the value in helping kids spend time outside in nature and know that playing in nature settings helps children grow up mentally. Perhaps you already introduce your child to nature through books, museums, and zoos. Maybe you just need some ideas of what to do with kids outside. Try some simple nature activities with your kid, or sign up for nature programs to develop your skills. While it may be a challenge for you to overcome your own nervousness about nature, you can raise a child who is happy and confident in the natural world.One of the easiest ways you can ge t your kid outside is to become a Door Opener. Even if you don't enjoy playing on the mud, you can take breath and let loose! Undirected time to explore nature is an important part of raising a caring kid. This might be free time in the backyard, allowing him to wander ahead on a walk or simply providing him with materials for a project. Putting aside your own nervousness and providing “in-the-wings" support will enrich your child’s journey as a nature lover! Belt out a song (引吭高歌), build a snowman, watch the五、单词拼写61．Now that your aunt was so busy, why didn't she e______ someone to help her look after the baby?62．Dou you know a red sky at night i______fine weather the following day? 63．A bomb e______at a busy railway station last month, causing the deaths of 74 people.64．I think it is difficult to j______what to do to help them, without knowing what pressure they has been under.65．I have just received a piece of information that poor eyesight can be c______by the experienced doctor.66．The singer has recorded a new song recently and he has gone on tourto______(宣传) this new song.67．With exams ______(临近)，it’s a good idea for students to review their class notes. 68．When the chain broke, the girl ______(替换）it with an old piece of rope until something more suitable could be found.69．______(渐渐地)，those workers began to know that they were in danger of losing their jobs.70．After that the patients were _____(意识到）that th ey should build up their bodies and live a healthy life. 六、书面表达71．在现代社会，广告无处不在，人们对此褒贬不一。

江苏省宿迁市名校联考2016-2017学年高一（下）期中数学试卷一、填空题：（本大题共14小题，每小题5分，共70分）1．（5分）函数f（x）=sin x cos x的最小正周期是．2．（5分）若sin（α﹣β）cosα﹣cos（α﹣β）sinα=，则sinβ=．3．（5分）在等差数列{a n}中，S n=5n2+3n，求a n=．4．（5分）已知tanα=2，则=．5．（5分）已知α∈（0，），β∈（0，），则2α﹣的取值范围是．6．（5分）在等差数列{a n}中，若a3=16，S20=20，则S10=．7．（5分）在△ABC中，若角A，B，C的对边分别为a，b，c，且a=2b sin A，则角B=．8．（5分）已知等差数列{a n}的公差d不为0，且a1，a3，a7成等比数列，则=．9．（5分）在△ABC中，角A，B，C所对的边分别为a，b，c，已知A=60°，b=1，△ABC的面积为，则a的值为．10．（5分）已知数列{a n}满足，对于任意的m，n∈N*，都有a m+a n=a m+n﹣2mn，若a1=1，则a10=．11．（5分）若sinα（1+tan10°）=1，则钝角α=．12．（5分）在等比数列{a n}中，已知a2=2，a5=16．设S2n为该数列的前2n项和，T n为数列{a n2}的前n项和．若S2n=tT n，则实数t的值为．13．（5分）函数y=sin x cos x+sin x+cos x（x∈R）的最大值是．14．（5分）已知数列{a n}满足a1=1，a n+a n﹣1=（n≥2），S n=a1•3+a2•32+…+a n•3n，则4S n ﹣a n•3n+1=．二、解答题：本大题共6小题，共90分.解答应写出必要的文字说明或推理、验算过程. 15．（14分）已知向量，且的夹角为120°，求：（1）求的值；（2）求的值．16．（14分）已知α，β为锐角，tan=，cos（α﹣β）=﹣．（1）求sinα；（2）求2α+β．17．（14分）已知数列{a n}是首项为2的等差数列，数列{b n}是公比为2的等比数列，且满足a2+b3=7，a4+b5=21．（1）求数列{a n}与{b n}的通项；（2）令，求数列{c n}的前n项和S n．18．（16分）△ABC的内角A，B，C的对边分别为，且2a cos C=2b﹣c．（1）求A的大小；（2）若△ABC为锐角三角形，求sin B+sin C的取值范围；（3）若，且△ABC的面积为，求cos2B+cos2C的值．19．（16分）小王大学毕业后决定利用所学知识自主创业，在一块矩形的空地上办起了养殖场，如图所示，四边形ABCD为矩形，AB=200米，AD=200米，现为了养殖需要，在养殖场内要建造蓄水池，小王因地制宜，建造了一个三角形形状的蓄水池，其中顶点分别为A，E，F（E，F两点在线段BD上），且∠EAF=，设∠BAE=α．（1）请将蓄水池的面积f（α）表示为关于角α的函数形式，并写出角α的定义域；（2）当角α为何值时，蓄水池的面积最大？并求出此最大值．20．（16分）设各项均为正数的数列{a n}的前n项和为S n，且对任意的n∈N*，都有2+1．（1）求数列{a n}的通项公式；（2）令b n=（﹣1）n﹣1a n，求数列{b n}的前n项和T n；（3）令c n=，求的最小值．【参考答案】一、填空题：（本大题共14小题，每小题5分，共70分）1．π【解析】∵sin2x=2sin x cos x∴f（x）=sin x cos x=sin2x，因此，函数f（x）的最小正周期T==π故答案为：π2．﹣【解析】由两角差的正弦公式可知：sin（α﹣β）cosα﹣cos（α﹣β）sinα=sin[（α﹣β）﹣α]=sin （﹣β）=﹣sinβ，又sin（α﹣β）cosα﹣cos（α﹣β）sinα=，∴﹣sinβ=，则sinβ=﹣，故答案为：﹣．3．10n﹣2【解析】∵在等差数列{a n}中S n=5n2+3n，∴a1=S1=8，a2=S2﹣S1=18，故公差d=18﹣8=10，∴a n=8+10（n﹣1）=10n﹣2故答案为：10n﹣24．1【解析】tanα=2，则===1．故答案为：1．5．（﹣，π）【解析】∵0＜α＜，0＜β＜，∴0＜2α＜π，﹣＜﹣β＜0，∴﹣＜2α﹣＜π，故答案为：（﹣，π）．6．110【解析】设等差数列{a n}的公差为d，∵a3=16，S20=20，∴a1+2d=16，20a1+d=20，联立解得a1=20，d=﹣2．S10=10×20﹣=110．故答案为：110．7．或【解析】∵a=2b sin A，由正弦定理可得：sin A=2sin B sin A，sin A≠0，解得sin B=，B∈（0，π）．∴B=或．故答案为：或．8．2【解析】由题意可得：，即d（2d﹣a1）=0，因为公差d不为0，故2d﹣a1=0，解得a1=2d≠0，故==2，故答案为：29．【解析】∵A=60°，b=1，△ABC的面积为，∴S△=，即，解得c=4，则由余弦定理得a2=b2+c2﹣2bc cos60°=1+16﹣2×=13，即a=，故答案为：10．100【解析】令m=1得a n+1=a n+1﹣2n，∴a n+1﹣a n=2n+1，令b n=a n+1﹣a n=2n+1，则b n+1﹣b n=2（n+1）+1﹣2n﹣1=2，∴{b n}是以3为首项，以2为公差的等差数列，∴a10﹣a1=a10﹣a9+a9﹣a8+…+a2﹣a1=b1+b2+b3+…+b9=9×3+=99，∴a10=99+a1=100．故答案为：10011．140°【解析】sinα（1+tan10°）=sinα•=sinα•2•=1，∴2sinα•sin40°=cos10°=sin80°，即2sinα•sin40°=sin80°，∴sinα=cos40°，结合α为钝角，可得α=140°，故答案为：140°．12．3【解析】设等比数列{a n}的公比为q，∵a2=2，a5=16．∴a1q=2，=16，联立解得a1=1，q=2．S2n==4n﹣1．a n=2n﹣1，=22n﹣2．T n为数列{a n2}的前n项和．∴T n==．∵S2n=tT n，∴4n﹣1=t×．解得t=3．故答案为：3．13．【解析】函数y=sin x cos x+sin x+cos x．令sin x+cos x=t，由于sin x+cos x=sin（x+）=t，∴t则sin x cos x=．那么：函数y转化为g（t）=，（t）可知g（t）开口向上，对称轴x=，∴当t上时，函数g（t）是单调递减．∴当上时，函数g（t）是单调递增．∴g（）max=故答案为：．14．【解析】因为S n=a1•3+a2•32+…+a n•3n，所以3S n=a1•32+a2•33+…+a n•3n+1，所以4S n=3a1+32（a1+a2）+33（a2+a3）+…+3n（a n﹣1+a n）+a n•3n+1，所以4S n﹣a n•3n+1=3a1+32（a1+a2）+33（a2+a3）+…+3n（a n﹣1+a n），又因为a1=1，a n+a n﹣1=（n≥2），所以4S n﹣a n•3n+1=3+32•+33+…+3n•=3+1+1+…+1=3+（n﹣1）=n+2（n≥2），又因为当n=1时，4S1﹣a1•31+1=﹣5不满足上式，所以4S n﹣a n•3n+1=，故答案为：．二、解答题：本大题共6小题，共90分.解答应写出必要的文字说明或推理、验算过程. 15．解：（1）∵||=3，||=2，且的夹角为120°，∴•=||•||•cos120°=3×2×（﹣）=﹣3，∴=2||2﹣3﹣2||2=2×9﹣3×（﹣3）﹣2×4=19（2）|2+|2=4||2+4+||2=36﹣12+4=28，∴|2+|2=2．16．解：（1）∵tan=，∴tanα==，∵，解得：sin2α=，又∵α为锐角，∴sinα=…6分（2）∵α，β为锐角，cos（α﹣β）=﹣＜0．∴α+β∈（，π），∴sin（α+β）==，又∵由（1）可知sinα=，cosα=，∴sin（2α+β）=sin[α+（α+β）]=sinαcos（α+β）+cosαsin（α+β）=+=0，又∵α∈（0，），α+β∈（，π），∴2α+β∈（，），∴2α+β=π17．解：（1）设等差数列{a n}的公差为d，等比数列{b n}的首项为b1，由，整理得：，解得：，a n=a1+（n﹣1）d=n+1，b n=b1q n﹣1=2n﹣1，∴数列{a n}的通项公式a n=n+1，{b n}的通项公式b n=2n﹣1；（2）由（1）可知=，数列{c n}的前n项和S n，S n=++…+，①则S n=++…++，②①﹣②整理得：S n=2+（++…+）﹣，=3﹣，∴S n=6﹣，数列{c n}的前n项和S n，S n=6﹣．18．解：（1）由余弦定理得：cos C=，∵2a cos C=2b﹣c，∴2a•=2b﹣c，即b2+c2﹣a2=ab，∴cos A==，∵A∈（0，π），∴A=，（2）∵△ABC为锐角三角形，∴0＜B，C＜，∵C=﹣B，∴＜B＜，∵sin B+sin C=sin B+sin（﹣B）=sin（B+），∵＜B+＜，∴sin（B+）∈（，1]，∴sin B+sin C的取值范围为（，]，（3）在△ABC中，由余弦定理可得a2=b2+c2﹣2bc cos A，即12=b2+c2﹣bc①，∵△ABC的面积为，∴bc sin A=2，即bc=8，②，由①②可得b=2，c=4，或b=4，c=2，不放设b=2，c=4，由正弦定理====4，∴sin B=，sin C=1，∴B=，C=，∴cos2B+cos2C=cos+cosπ=﹣1=﹣19．解：（1）∵∠BCD=，∠EAF=，设∠BAE=α∈[0，]，在△ABD中，AD=200米，AD=200米，∠BCD=，∴∠ABD=，在△ABF中，∠AFB=π﹣∠ABF﹣∠BAF=π﹣﹣（+α）=﹣α，由正弦定理得：===，∴AF=，在△ABE中，由正弦定理得：==，∴AE=，则△AEF的面积S△AEF=AE•AF•sin∠EAF==，α∈[0，]，∴f（α）=，α∈[0，]，（2）∵α∈[0，]，∴（2α+）∈[，π]．∴0≤sin（2α+）≤1，∴2sin（2α+）+的最小值为，∴当α=时，f（α）max=100020．解：（1）∵2+1，∴4S n=，n≥2时，4S n﹣1=，∴4a n=﹣，化为：（a n+a n﹣1）（a n﹣a n﹣1﹣2）=0．∵a n+a n﹣1＞0，∴a n﹣a n﹣1=2．n=1时，4a1=，解得a1=1．∴数列{a n}是等差数列，公差为2．∴a n=1+2（n﹣1）=2n﹣1．（2）∵b n=（﹣1）n﹣1a n=（﹣1）n﹣1（2n﹣1）．n=2k为偶数时，b2k﹣1+b2k=（4k﹣3）﹣（4k﹣1）=﹣2．∴数列{b n}的前n项和T n=﹣2k=﹣n．n=2k﹣1为奇数时，数列{b n}的前n项和T n=T n﹣1+b n=﹣（n﹣1）+（2n﹣1）=n．综上可得：T n=（﹣1）n﹣1n．（3）c n===，∴=×=．令d n=＞0，则==＞1．可得d n+1＞d n，因此数列{d n}单调递增．∴d n≥d1=．∴的最小值是．。

江苏省宿迁市名校2016-2017学年高一下学期期中考试化学试题可能用到的相对原子质量：H- 1 C-12 N-14 O-16 Cu-64―、单项选择题：本部分23题，每题3分，共69分，在每题的4个选项中，只有1个选项是符合要求的。

1．下列做法科学的是A．将废旧电池深埋处理 B．大量开发利用可燃冰C．开发太阳能、风能和氢能 D．大量砍伐树木、野草作燃料【答案】C2．下列化学用语表示正确的是A．氯化铵的电子式： B．中子数为18的硫原子：SC．水分子的球棍模型： D．乙烯的结构简式：CH2=CH2【答案】D【解析】A．氯化铵的电子式为，故A错误；B．中子数为18的硫原子的质量为34，故B错误；C．水分子的球棍模型为，故C错误；D．乙烯的结构简式为CH2=CH2，故D正确；答案为D。

【点睛】解决这类问题过程中需要重点关注的有：①书写电子式时应特别注意如下几个方面：阴离子及多核阳离子均要加“”并注明电荷，书写共价化合物电子式时，不得使用“”，没有成键的价电子也要写出来。

②书写结构式、结构简式时首先要明确原子间结合顺序(如HClO应是H—O—Cl，而不是H—Cl—O)，其次是书写结构简式时，碳碳双键、碳碳三键应该写出来。

③比例模型、球棍模型要能体现原子的相对大小及分子的空间结构。

④热化学反应方程式中物质的聚集状态、离子方程式中的电荷守恒、化学反应的客观性是经常出现错误的地方，在判断时需要注意。

3．下列设备工作时，将化学能转化为电能的是【答案】B考点：本题考查能量转化形式的判断。

4．下列有关甲烷的说法正确的是A．易溶于水 B．是最简单的有机化合物C．与氯气发生加成反应 D．与乙烷互为同分异构体【答案】B【解析】A．甲烷难溶于水，故A错误；B．甲烷是最简单的有机化合物，故B正确；C．在光照条件下，甲烷与氯气发生取代反应，故C错误； D．甲烷与乙烷互为同系物，故D错误；答案为B。

5．下列各组物质互为同素异形体的是A．H、D和T B．甲烷与丙烷C．乙醇与二甲醚 D．红磷与白磷【答案】D【解析】A．H、D和T互为同位素，故A不选；B．甲烷与丙烷是同系物，故B不选；C．乙醇与二甲醚是同分异构体，故C不选；D．红磷与白磷互为同素异形体，故D选，答案为D。

2016-2017学年江苏省宿迁市名校联考高一（下）期中物理试卷一、选择题1．（3分）历史上第一次在实验室比较精确地测出引力常量的科学家是（）A．开普勒B．第谷C．卡文迪许D．伽利略2．（3分）匀速圆周运动是（）A．匀变速运动B．速度不变的曲线运动C．加速度大小不变的曲线运动D．变加速曲线运动3．（3分）物体在两个相互垂直的力作用下运动，力F1对物体做功3J，物体克服力F2做功4J，则F1、F2的合力对物体做功为（）A．5J B．7J C．1J D．﹣1J4．（3分）关于地球同步卫星，下列说法中正确的是（）A．同步卫星处于平衡状态B．同步卫星的高度是一定的C．同步卫星的速度是不变的D．同步卫星的速度大于第一宇宙速度5．（3分）下列说法中正确的是（）A．当物体做自由落体运动时，重力对物体做负功B．当物体做自由落体运动时，重力势能增大C．当物体做斜抛运动时，在上升阶段其重力势能增大D．当物体做斜抛运动时，在上升阶段重力对物体做正功6．（3分）设地球表面的重力加速度为g，物体在距地面R（R是地球半径）处，由于地球作用而产生的加速度为g0，则为（）A．1：2B．2：1C．4：1D．1：47．（3分）质量为m的物体由静止开始自由下落，由于空气阻力作用，下落的加速度为0.2g，在物体下落h的过程中，下列说法中正确的是（）A．重力对物体做功0.2mghB．物体的动能增加了0.2mghC．物体下落前的重力势能是0.2mghD．物体的机械能减少了0.2mgh8．（3分）A、B两颗卫星均围绕地球做匀速圆周运动，轨道半径分别为1：4，则A、B 两颗卫星的线速度之比为（）A．1：8B．8：1C．1：2D．2：19．（3分）如图所示，甲、乙两人分别站在赤道和纬度为60°的地面上，他们随地球一起绕地轴做匀速圆周运动，则下列物理量相同的是（）A．线速度B．周期C．向心力D．向心加速度10．（3分）一个质量为1kg的物体，以2m/s的速度在光滑水平面上向右滑行，从某个时刻起，在物体上作用一个向左的水平力，经过一段时间，物体的速度方向变为向左，大小仍然是2m/s，在这段时间内水平力对物体做的功为（）A．32J B．8J C．16J D．0J11．（3分）如图是演示小蜡块在玻璃管中运动规律的装置．现让玻璃管沿水平方向做初速度为零的匀加速直线运动，同时小蜡块从O点开始沿竖直玻璃管向上做匀速直线运动，那么下图中能够大致反映小蜡块运动轨迹的是（）A．B．C．D．12．（3分）汽车以速度v匀速行驶，若牵引力的功率为P，则汽车的牵引力为（）A．Pv B．C．D．Pv213．（3分）如图所示，一劲度系数为100N/m的轻弹簧，位置O为其原长位置，OA＝OB，在外力作用下使其压缩至位置A，然后拉伸至位置B，则弹簧由位置A至位置B的过程中，其弹性势能的变化量为（）A．0B．1J C．2J D．3J14．（3分）A、B两物体的质量之比为1：2，速度之比为2：1，则A、B的动能之比为（）A．2：1B．1：2C．1：1D．4：115．（3分）关于向心力的说法中不正确的是（）A．物体做匀速圆周运动时向心力不是恒力B．向心力是指向圆心方向的合力，是根据力的作用效果命名的C．向心力可以是重力、弹力、摩擦力等的合力，也可以是其中一种力或一种力的分力D．向心力做功使物体做变速圆周运动16．（3分）下列关于曲线运动性质的说法，正确的是（）A．变速运动一定是曲线运动B．曲线运动一定是变速运动C．曲线运动一定是变加速运动D．曲线运动一定是加速度不变的匀变速运动17．（3分）一个物体以初速度v水平抛出，经过一段时间，物体沿竖直方向的位移大小和水平位移大小相等，则物体运动的时间为（不计空气阻力）（）A．B．C．D．18．（3分）如图所示，河水的流速保持不变，为使小船由O点沿虚线匀速航行，船头的指向应为图中的（）A．①方向B．②方向C．③方向D．④方向19．（3分）长为L的轻杆一端固定质量为m的小球，另一端可绕固定光滑水平转轴O转动，现使小球在竖直平面内做圆周运动，若小球通过圆周最低点A 的速度大小为，则轻杆对小球的拉力大小为（）A．6mg B．7mg C．8mg D．9mg20．（3分）如图所示，是利用闪光照相研究平抛运动的示意图，小球A由斜槽滚下，从桌边缘水平抛出，当它恰好离开桌边缘时，小球B也同时下落，闪光频率为10Hz的闪光器拍摄的照片中B球有四个像，像间距离已在图中标出，两球恰在位置4相碰，则A球离开桌面的速度为（g＝10m/s2）（）A．1m/s B．2m/s C．3m/s D．4m/s21．（3分）用如图所示的装置做“验证机械能守恒定律”实验，下列说法中正确的是（）A．该实验必须要使用天平B．由于空气阻力、纸带与限位孔摩擦等原因，该实验中重物的重力势能减少量小于其动能增加量C．把秒表测得的时间代入v＝gt，计算重锤的速度D．释放纸带前，手捏住纸带上端并使纸带处于竖直22．（3分）如图所示，两个质量相同的物体从A点静止释放，分别沿光滑面AB 与AC滑到同一水平面上的B点与C点，则下列说法中正确的是（）A．两物体到达斜面底端时的速度相同B．两物体到达斜面底端时的动能相同C．两物体沿AB面和AC面运动时间相同D．两物体从释放至到达斜面底端过程中，重力的平均功率相同23．（3分）某物体以一定的初速度v0沿倾角为37°的斜面向上滑行，最后又回到出发点，物体与斜面的动摩擦因数恒定，g取10m/s2，在此过程中，其动能E k随物体到斜面底端距离L的变化关系如图所示，则物体的质量为（）A．1kg B．2kg C．3kg D．4kg二、填空题24．（9分）在验证机械能守恒定律的实验中，得到一条纸带如图所示，图中O 点为打点计时器打下的第一点，可以看做重物运动的起点，若重物的质量为0.50kg，已知相邻两点时间间隔为0.02s，图中长度单位是cm，g取9.8m/s2，则打点计时器打下B点时，重物的速度v B＝m/s．从起点O到打下B 点的过程中，重物的动能的增加△E k＝J，重力势能的减小量△E P＝J．（三个空格结果都保留两位有效数字）25．（9分）探究外力做功与物体动能变化关系的实验装置如图甲所示，根据实验中力传感器读数和电磁打点器打出纸带的测量数据等可分别求得外力对小车做功和小车动能的变化。

2016-2017学年度第二学期期中考试高一物理试卷一．单项选择题：每小题只有一个．．．．选项符合题意（本大题共23小题，每小题3分，共69分）.1。

历史上第一次在实验室比较精确地测出引力常量的科学家是A。

开普勒 B. 牛顿 C。

卡文迪许 D。

伽利略【答案】C【解析】历史上第一次在实验室比较精确地测出引力常量的科学家是卡文迪许,故选C。

2。

匀速圆周运动的性质是A。

匀速运动 B. 速度不变的曲线运动C. 加速度不变的曲线运动D. 变加速度的曲线运动【答案】D【解析】匀速圆周运动向心力始终指向圆心，所以加速度方向时刻变化，做变加速度的曲线运动，D对。

3。

物体在两个相互垂直的力作用下运动,力F1对物体做功3J，物体克服力F2做功4J，则F1、F2对物体做的总功为A。

5J B。

7J C. -1J D。

1J【答案】C【解析】F1、F2对物体做的总功为W=W1+W2=3J+(—4）J=-1J,故选C.4。

关于地球同步卫星,下列说法中正确的是A. 同步卫星处于平衡状态B. 同步卫星的高度是一定的C. 同步卫星的速度是不变的D. 同步卫星的速度大于第一宇宙速度【答案】B【解析】同步卫星绕地球做圆周运动,故不是处于平衡状态，选项A错误;根据万有引力提供向心力,列出等式：,其中R为地球半径，h为同步卫星离地面的高度．由于同步卫星的周期必须与地球自转周期相同,所以T为一定值，根据上面等式得出：同步卫星离地面的高度h也为一定值．由于轨道半径一定，则线速度的大小也一定，但是速度方向不断变化，故B正确，C错误．根据可知，同步卫星的速度小于第一宇宙速度,选项D错误；故选B.点睛：地球质量一定、自转速度一定,同步卫星要与地球的自转实现同步,就必须要角速度与地球自转角速度相等,这就决定了它的轨道高度和线速度大小．5. 下列说法中正确的是A. 当物体做自由落体运动时，重力对物体做负功B. 当物体做自由落体运动时,重力势能增大C。

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案)。

江苏省宿迁市名校2016-2017学年高一英语下学期期中试题总分：120分考试时间：120分钟第Ⅰ卷选择题（三部分,共85分）第一部分：听力（共两节。

共20小题：每小题1分，满分20分）第一节听下面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，并标在试卷的相应位置.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 has happened to Harvey's insurance policy?A. It was lost somewhere.B. It decreased in value。

C. It was given up.2。

When will the two speakers meet?A。

At 8：30. B. At 9：00. C. At 9:30.3。

What does the woman mean?A。

The shirt is very expensive.B. The shirt needs to be washed again。

C. The man should get his money back。

4。

Who has escaped?A。

The murderers. B。

The murderess.C。

The other three。

5。

What does the woman imply？A. Mathew is not telling her the truth。

B。

Mathew doesn't know how their friends found out.C。

Mathew didn’t know that she failed her class。

第二节听下面5段对话或对白,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，并标在试卷的相应位置。