山西省五校2017届高三第五次联考英语试题

专题二 压轴填空题第六关 以数列求和或者通项公式为背景的填空题【名师综述】1.数列的通项公式及递推公式的应用也是命题的热点，根据an 与Sn 的关系求通项公式以及利用构造或转化的方法求通项公式也是常考的热点.2.数列的求和问题多以考查等差、等比数列的前n 项和公式、错位相减法和裂项相消法为主，且考查频率较高，是高考命题的热点. 1．求数列通项公式的常见类型及方法(1)归纳猜想法：已知数列的前几项，求数列的通项公式，可采用归纳猜想法． (2)已知Sn 与an 的关系，利用an ＝⎩⎨⎧S1，n ＝1，Sn －Sn －1，n≥2求an.(3)累加法：数列递推关系形如an ＋1＝an ＋f(n)，其中数列{f(n)}前n 项和可求，这种类型的数列求通项公式时，常用累加法(叠加法)．(4)累乘法：数列递推关系形如an ＋1＝g(n)an ，其中数列{g(n)}前n 项积可求，此数列求通项公式一般采用累乘法(叠乘法)． 2．活用数列求和的四种方法(1)公式法：适合求等差数列或等比数列的前n 项和．对等比数列利用公式法求和时，注意q ＝1或q≠1两种情况．(2)错位相减法：这是推导等比数列的前n 项和公式时常用的方法，主要用于求数列{anbn}的前n 项和，其中{an}，{bn}分别是等差数列和等比数列．(3)裂项相消法：把数列的各项分别裂开后，前后抵消从而计算和的方法，适用于求通项为1anan ＋1的数列的前n 项和，其中{an}为等差数列，则1anan ＋1＝1d)11(1+-n n a a . (4)分组求和法：一个数列如果既不是等差数列又不是等比数列，但它可以拆成两个数列，而这两个数列是等差或等比数列，那么就可分组求和，这种方法叫分组求和法．类型一 将递推式转换为项间的关系式处理的问题典例1 【辽宁葫芦岛普高协作体2017届高三上学期第二次考试，16】已知数列{}n a 的前n 项和为n S ，()413n n S a =-，则()216411n n a -⎛⎫++ ⎪⎝⎭的最小值为 ． 【举一反三】【山西临汾一中等五校2017届高三第三联考，16】已知数列{}n a 的首项1a a =，其前n 项和为n S ，且满足()2142,n n S S n n n N -++=≥∈，若对任意1,n n n N a a ++∈<恒成立，则a 的取值范围是_____________ .类型二 可转化为前n 项和间的递推式的问题典例2 已知数列{}n a 的前n 项和为n S ，11a =．当2n ≥时，12n n a S n -+=，则2015S =（ ）【举一反三】数列{}n a 中，11a =，n S 为数列{}n a 的前n 项和，且对2n ∀≥，都有221nn n na a S S =-，则数列{}n a 的通项公式n a = ． 类型三 通过若干项观察归纳总结的问题 典例3 数列{}n a 的通项为(1)(21)sin12n n n a n π=-+⋅+，前n 项和为n S ，则100S = ． 【举一反三】．数列{}n a 满足12a =，1111n n n a a a ++-=+，其前n 项积为n T ，则2015T = ．【精选名校模拟】1．【四川省凉山州2017届高中毕业班第一次诊断性检测,6】设数列{}n a 满足1a a =，2121n n n a a a +-=+（*n N ∈），若数列{}n a 是常数列，则a =（ ） A ．2-B ．1-C ．0D ．(1)n-2．【云南大理2017届高三第一次统测，16】若数列{}n a 的首项12a =，且()*132n n a a n N +=+∈；令()3log 1n n b a =+，则123100b b b b ++++=_____________．3．【江西抚州七校2017届高三上学期联考，10】若数列{}n a 满足()()()()1123252325lg 1n n n a n a n n n +⎛⎫+-+=+++⎪⎝⎭，且15a =，则数列23n a n ⎧⎫⎨⎬+⎩⎭的第100项为（ ） A ．2 B ．3 C ．1lg99+ D ．2lg99+4．【河南百校联盟2017届高三11月质检，5】已知正项数列{}n a 中，11a =，22a =，222112n n n a a a -+=+（2n ≥），11n n n b a a +=+，记数列{}n b 的前n 项和为n S ，则33S 的值是（ ）5．【河南八市重点高中2017届上学期第三次测评，15】已知数列{}n a 中，()*1222,1,2n n n a n a a a n N a n ++⎧===∈⎨⎩是奇数，是偶数，则数列{}n a 的前20项和为____________． 6．【福建厦门一中2017届上学期期中，15】n S 为数列{}n a 的前n 项和，已知()()()*0,431,n n n n a S a a n N >=+-∈．则{}n a 的通项公式n a =_____________．7．【湖北孝感2017届高三上学期第一次联考，16】设n S 为数列{}n a 的前n 项和，且满足()112nn n nS a =--，则2a = ；1352017S S S S ++++= ．8．【江西抚州七校2017届高三上学期联考，16】 在数列{}n a 及{}n b中，11111,1n n n n n n a a b b a b a b ++=++=+==．设112n n n n c a b ⎛⎫=+ ⎪⎝⎭，则数列{}n c 的前n项和为_____________．9. 【山西省孝义市2017届高三上学期二轮模考数学（理）试题】1111111111111n ++++个之和是____________.10．在数列{}n a 中，112a =，12141n n a a n +-=-，则该数列的通项公式n a = ． 11．【河南省新乡市2017届高三上学期第一次调研测试数学（理）试题】已知数列1234,,,a a a a 满足()1411111,1,2,322n n n na a a a n a a ++=-=-=，则1a 所有可能的值构成的集合为（ ）A ．1,12⎧⎫±±⎨⎬⎩⎭ B ．{}1,2±± C ．1,22⎧⎫±±⎨⎬⎩⎭ D ．1,1,22⎧⎫±±±⎨⎬⎩⎭12．【河北省冀州中学2017届高三（复习班）上学期第二次阶段考试数学（理）试题】在数列{}n a 中，12a =，22a =，且21(1)()n n n a a n N ++-=+-∈，则100S =（ ）A ．0B ．1300 C.2600 D ．2602 13．【河北省冀州中学2017届高三（复习班）上学期第二次阶段考试数学（理）试题】若数列{}n a 是正23n a n n +=+，则12231na a a n +++=+ __________.14．【河北省沧州市第一中学2017届高三10月月考数学（理）试题】已知函数5()sin (0)2f x x a x π=-≤≤的三个零点成等比数列，则2log a =__________.15．【湖南省郴州市2017届高三上学期第一次教学质量监测数学（理）试题】设()S n ，()T n 分别为等差数列{}n a ，{}n b 的前n 项和，且()32()45S n n T n n +=+.设点A 是直线BC 外一点，点P 是直线BC 上一点，且143a a AP AB ACb λ+=+，则实数λ的值为__________. 16. 【山西省临汾一中、忻州一中、长治二中等五校2017届高三上学期第二次联考数学（理）试题】已知数列}{n a 的前n 项和为n S ，)1(34-=n n a S ，则数列}{2na 的前n 项和=n T .。

2015年天津卷高考真题英语试卷-学生用卷一、单项选择1、【来源】 2015年高考真题天津卷第1题2020~2021学年天津和平区天津市第二南开学校高一上学期期中第22题0.5分2017~2018学年天津高一期末联考第9题1分2018~2019学年天津静海区天津市静海区第一中学高二上学期期中第16题1分—Sorry, Liz. I think I was a bit rude to you.—______, but don't do that again!A. Go aheadB. Forget itC. It dependsD. With pleasure2、【来源】 2015年高考真题天津卷第2题The quality of education in this small school is better than ______ in some larger schools.A. thatB. oneC. itD. this3、【来源】 2015年高考真题天津卷第3题2016~2017学年广东广州高二上学期期中五校联考第17题1分2018~2019学年吉林长春朝阳区吉林省实验中学高二下学期期末第30题1分Only when Lily walked into the office that she had left the contract at home.A. she realizedB. has she realizedC. she has realizedD. did she realize4、【来源】 2015年高考真题天津卷第4题—Jack, you seem excited.—______? I won the first prize.A. Guess whatB. So whatC. Pardon meD. Who cares5、【来源】 2015年高考真题天津卷第5题2018~2019学年10月广东深圳福田区深圳市高级中学高中部高二月考第47题1分2019~2020学年广东深圳罗湖区深圳市翠园中学高二上学期期中第6题1分2019~2020学年陕西西安长安区西安交通大学附属中学航天学校高三上学期段考（四诊）第22题1分2017~2018学年北京海淀区北京市十一学校高二上学期期末第49题0.5分in painting, John didn't notice evening approaching.A. To absorbB. To be absorbedC. AbsorbedD. Absorbing6、【来源】 2015年高考真题天津卷第6题2016~2017学年天津高一下学期期末第22题0.5分2017~2018学年天津和平区天津市第一中学高一下学期期末第25题1分2019~2020学年陕西西安长安区西安交通大学附属中学航天学校高三上学期段考（四诊）第23题1分2016~2017学年北京海淀区北京一零一中学高二下学期期中第22题1分Jane can't attend the meeting at 3 o'clock this afternoon because she a class at that time.A. will teachB. would teachC. has taughtD. will be teaching7、【来源】 2015年高考真题天津卷第7题2019~2020学年3月天津河西区高三下学期月考第14题1分I ______ have worried before I came to the new school, for my classmates here are very friendly to me.A. mightn'tB. mustn'tC. needn'tD. couldn't8、【来源】 2015年高考真题天津卷第8题2018~2019学年10月天津和平区天津市双菱中学高二上学期月考第26题1分2018~2019学年10月广东深圳福田区深圳市高级中学高中部高二月考第48题1分2019~2020学年3月天津河西区高三下学期月考第11题1分2019~2020学年广东深圳福田区深圳市高级中学高中部高一下学期期中第15题1.5分______ for two days, Steve managed to finish his report on schedule.A. To workB. WorkedC. To be workingD. Having worked9、【来源】 2015年高考真题天津卷第9题2019~2020学年12月江苏南京玄武区南京市第九中学高一上学期月考第63题1分2018~2019学年陕西西安未央区西安中学高一上学期期末第26题1分2017~2018学年北京东城区北京汇文中学高二上学期期中第35题1分2017~2018学年广东深圳福田区深圳市高级中学高中部高一下学期期中第53题1分Despite the previous rounds of talks, no agreement so far by the two sides.A. has been reachedB. was reachedC. will reachD. will have reached10、【来源】 2015年高考真题天津卷第10题2019~2020学年陕西西安长安区西安交通大学附属中学航天学校高三上学期段考（四诊）第25题1分Tom had to the invitation to the party last weekend because he was too busy.A. turn inB. turn downC. turn overD. turn to11、【来源】 2015年高考真题天津卷第11题2019~2020学年天津南开区高三上学期期末第6题1分If you have any doubts about your health, you'd better______ your doctor at once.A. convinceB. consultC. avoidD. affect12、【来源】 2015年高考真题天津卷第12题We need to get to the root of the problem we can solve it.A. whileB. afterC. beforeD. as13、【来源】 2015年高考真题天津卷第13题2015~2016学年北京西城区北京师范大学第二附属中学高二上学期期中第5题I wish I ______ at my sister's wedding last Tuesday, but I was on a business trip in New York then.A. will beB. would beC. have beenD. had been14、【来源】 2015年高考真题天津卷(部分区联考)第14题2016~2017学年天津高一下学期期末第13题1分See, your computer has broken down again! It doesn't ______ sense to buy the cheapest brand of computer just to save a few dollars.A. haveB. makeC. displayD. bring15、【来源】 2015年高考真题天津卷第15题2018~2019学年广东深圳宝安区宝安第一外国语学校高二下学期期中第62题1分2017~2018学年天津和平区天津市第一中学高二上学期期末第16题1分The boss of the company is trying to create an easy atmosphere his employees enjoy their work.A. whereB. whichC. whenD. who二、完型填空16、【来源】 2015年高考真题天津卷第16题2017~2018学年12月河南洛阳洛龙区洛阳市第一高级中学高二上学期月考第36~55题20分2019~2020学年高一下学期单元测试第30~49题2017~2018学年黑龙江大庆红岗区大庆市铁人中学高二上学期期中第41~60题30分My fiance （未婚夫） and I were excited about shopping for our first home. But our fundswere1, and none of the houses in our price range seemed satisfactory.One agent2 a house in particular. Although her description sounded wonderful, the price was3our range, so we declined. But she kept urging us to have a look4.We finally did and it was5at first sight. It was Our Home, small and charming, overlooking a quiet lake. Walking through the rooms and talking with the owners, a nice elderly couple, we felt the warmth and6of the marriage within that home. As perfect as it was, the price remained too high for us. But every day, we would sit by the lake, looking at the house and dreaming of7it would be like to live there.Days later, we made a(n)8—far below the asking price. Surprisingly, they didn't9us. They renewed their offer10. It was also much more than we could afford, but far11than the original asking price.The next day, we got a12message that another buyer had offered a much higher price. Even so, we decided to talk with the13directly. We made our final offer, which14was thousands of dollars less than the other buyer's bid. We knew it,15we had to try.“Sold!” said the owner. Then he16: He'd seen us sitting by the lake all those times; he knew how much we loved the place and that we'd17the years of work they had put into their home; he realized he would take a18by selling it to us, but it was worthwhile; we were the people they wanted to live there. He told us to consider the19in the price “an early wedding present.”That's how we found our home and how I learned that when peopleare20they are not strangers, only friends we haven't yet met.A. neededB. limitedC. enoughD. largeA. recommendedB. decoratedC. soldD. rentedA. belowB. withinC. beyondD. betweenA. at leastB. at mostC. at timesD. at handA. reliefB. concernC. loveD. curiosityA. prideB. happinessC. challengeD. desireA. whichB. whyC. thatD. whatA. effortB. offerC. promiseD. profitA. come acrossB. look afterC. depend onD. laugh atA. insteadB. indeedC. asideD. apartA. worseB. betterC. lessD. higherA. relaxingB. disappointingC. pleasantD. regularA. agentsB. buyersC. managersD. ownersA. alreadyB. stillC. generallyD. everA. soB. orC. forD. butA. apologizedB. complainedC. criticizedD. explainedA. checkB. analyzeC. appreciateD. ignoreA. lossB. riskC. chanceD. leadA. increaseB. differenceC. interestD. averageA. kindB. politeC. smartD. energetic三、阅读理解17、【来源】 2015年高考真题天津卷（A篇）第17题University Room RegulationsApproved and Prohibited ItemsThe following items are approved for use in residential （住宿的） rooms: electric blankets, hair dryers, personal computers, radios, televisions and DVD players. Items that are not allowed in student rooms include: candles, ceiling fans, fireworks, waterbeds, sun lamps and wireless routers. Please note that any prohibited items will be taken away by the Office of Residence Life.Access to Residential RoomsStudents are provided with a combination （组合密码） for their room door locks upon check-in. Do not share your room door lock combination with anyone. The Office of Residence Life may change the door lock combination at any time at the expense of the resident if it is found that the student has shared the combination with others. The fee is $25 to change a room combination.Cooking PolicyStudents living in buildings that have kitchens are only permitted to cook in the kitchen. Students must clean up after cooking. This is not the responsibility of housekeeping staff. Kitchens that are not kept clean may be closed for use. With the exception of using a small microwave oven （微波炉） to heat food, students are not permitted to cook in their rooms.Pet PolicyNo pets except fish are permitted in student rooms. Students who are found with pets, whether visiting or owned by the student, are subject to an initial fine of ＄100 and a continuing fine of ＄50 a day per pet. Students receive written notice when the fine goes into effect. If, one week from the date of written notice, the pet is not removed, the student is referred to the Student Court.Quiet HoursResidential buildings must maintain an atmosphere that supports the academic mission of the University. Minimum quiet hours in all campus residences are 11:00 pm to 8:00 am Sunday through Thursday. Quiet hours on Friday and Saturday nights are 1:00 am to 8:00 am. Students who violate quiet hours are subject to a fine of $25.(1) Which of the following items are allowed in student rooms?A. Ceiling fans and waterbeds.B. Wireless routers and radios.C. Hair dryers and candles.D. TVs and electric blankets.(2) What if a student is found to have told his combination to others?A. The combination should be changed.B. The Office should be charged.C. He should replace the door lock.D. He should check out of the room.(3) What do we know about the cooking policy?A. A microwave oven can be used.B. Cooking in student rooms is permitted.C. A housekeeper is to clean up the kitchen.D. Students are to close kitchen doors after cooking.(4) If a student has kept a cat in his room for a week since the warning, he will face _____.A. parent visitsB. a fine of $100C. the Student CourtD. a written notice(5) When can students enjoy a party in residences?A. 7:00 am, Sunday.B. 7:30 am, Thursday.C. 11:30 pm, Monday.D. 00:30 am, Saturday.18、【来源】 2015年高考真题天津卷第18题Whether in the home or the workplace, social robots are going to become a lot more common in the next few years. Social robots are about to bring technology to the everyday world in a more humanized way, said Cynthia Breazeal, chief scientist at the robot company Jibo.While household robots today do the normal housework, social robots will be much more like companions than mere tools. For example, these robots will be able to distinguish when someone is happy or sad. This allows them to respond more appropriately to the user.The Jibo robot, arranged to ship later this year, is designed to be a personalized assistant. You can talk to the robot, ask it questions, and make requests for it to perform different tasks. The robot doesn't just deliver general answers to questions; it responds based on what it learns about each individual in the household. It can do things such as reminding an elderly family member to take medicine or taking family photos.Social robots are not just finding their way into the home. They have potential applications in everything from education to health care and are already finding their way into some of these spaces.Fellow Robots is one company bringing social robots to the market. The company's "Oshbot" robot is built to assist customers in a store, which can help the customers find items and help guide them to the product's location in the store. It can also speak different languages and make recommendations for different items based on what the customer is shopping for.The more interaction the robot has with humans, the more it learns. But Oshbot, like other social robots, is not intended to replace workers, but to work alongside other employees. "We have technologies to train social robots to do things not for us, but with us, " said Breazeal.(1) How are social robots different from household robots?A. They can control their emotions.B. They are more like humans.C. They do the normal housework.D. They respond to users more slowly.(2) What can a Jibo robot do according to Paragraph 3?A. Communicate with you and perform operations.B. Answer your questions and make requests.C. Take your family pictures and deliver milk.D. Obey your orders and remind you to take pills.(3) What can Oshbot work as?A. A language teacher.B. A tour guide.C. A shop assistant.D. A private nurse.(4) We can learn from the last paragraph that social robots will.A. train employeesB. be our workmatesC. improve technologiesD. take the place of workers(5) What does the passage mainly present?A. A new design idea of household robots.B. Marketing strategies for social robots.C. Information on household robots.D. An introduction to social robots.19、【来源】 2015年高考真题天津卷第19题2017~2018学年12月河南洛阳洛龙区洛阳市第一高级中学高二上学期月考第21~25题10分2017~2018学年陕西西安雁塔区陕西师范大学附属中学高三上学期开学考试第24~28题10分One day when I was 12, my mother gave me an order: I was to walk to the public library, and borrow at least one book for the summer. This was one more weapon for her to defeat my strange problem—inability to read.In the library, I found my way into the "Children's Room."I sat down on the floor and pulled a few books off the shelf at random. The cover of a book caught my eye. It presented a picture of a beagle. I had recently had a beagle, the first and only animal companion I ever had as a child. He was my secret sharer, but one morning, he was gone, given away to someone who had the space and the money to care for him. I never forgot my beagle.There on the book's cover was a beagle which looked identical to my dog. I ran my fingers over the picture of the dog on the cover. My eyes ran across the title, Amos, the Beagle with a Plan. Unknowingly, I had read the title. Without opening the book, I borrowed it from the library for the summer.Under the shade of a bush, I started to read about Amos. I read very, very slowly with difficulty. Though pages were turned slowly, I got the main idea of the story about a dog who, like mine, had been separated from his family and who finally found his way back home. That dog was my dog, and I was the little boy in the book. At the end of the story, my mind continued the final scene of reunion, on and on, until my own lost dog and I were, in my mind, running together.My mother's call returned me to the real world. I suddenly realized something: I had read a book, and I had loved reading that book. Everyone knew I could not read. But I had read it. Books could be incredibly wonderful and I was going to read them.I never told my mother about my "miraculous"（奇迹般地）experience that summer, but she sawa slow but remarkable improvement in my classroom performance during the next year. And years later, she was proud that her son had read thousands of books, was awarded a PhD in literature, and authored his own books, articles, poetry and fiction. The power of the words has held.(1) The author's mother told him to borrow a book in order to.A. encourage him to do more walkingB. let him spend a meaningful summerC. help cure him of his reading problemD. make him learn more about weapons(2) The book caught the author's eye because.A. it contained pretty pictures of animalsB. it reminded him of his own dogC. he found its title easy to understandD. he liked children's stories very much(3) Why could the author manage to read the book throughA. He was forced by his mother to read it.B. He identified with the story in the book.C. The book told the story of his pet dog.D. The happy ending of the story attracted him.(4) What can be inferred from the last paragraph?A. The author has become a successful writer.B. The author's mother read the same book.C. The author's mother rewarded him with books.D. The author has had happy summers ever since.(5) Which one could be the best title of the passage?A. The Charm of a BookB. Mum's Strict OrderC. Reunion with My BeagleD. My Passion for Reading20、【来源】 2015年高考真题天津卷第20题DOnce when I was facing a decision that involved high risk, I went to a friend. He looked at me for a moment, and then wrote a sentence containing the best advice I've ever had: Be bold and brave — and mighty (强大的) forces will come to your aid.Those words made me see clearly that when I had fallen short in the past, it was seldom because I had tried and failed. It was usually because I had let fear of failure stop me from trying at all. On the other hand, whenever I had plunged into deep water, forced by courage or circumstance, I had always been able to swim until I got my feet on the ground again.Boldness means a decision tobite off more than you can eat. And there is nothing mysterious about the mighty forces. They are potential powers we possess: energy, skill, sound judgment, creative ideas —even physical strength greater than most of us realize.Admittedly, those mighty forces are spiritual ones. But they are more important than physical ones. A college classmate of mine, Tim, was an excellent football player, even though he weighed much less than the average player. “In one game I suddenly found myself confronting a huge player, who had nothing but me between him and our goal line,” said Tim. “I was so frightened that I closed my eyes and desperately threw myself at that guy like a bullet — and stopped him cold.”Boldness — a willingness to extend yourself to the extreme—is not one that can be acquired overnight. But it can be taught to children and developed in adults. Confidence builds up. Surely, there will be setbacks (挫折) and disappointments in life; boldness in itself is no guarantee of success. But the person who tries to do something and fails is a lot better off than the person who tries to do nothing and succeeds.So, always try to live a little bit beyond your abilities—and you'll find your abilities are greater than you ever dreamed.(6) Why was the author sometimes unable to reach his goal in the past?A. He faced huge risks.B. He lacked mighty forces.C. Fear prevented him from trying.D. Failure blocked his way to success.(7) What is the implied meaning of the underlined part?A. Swallow more than you can digest.B. Act slightly above your abilities.C. Develop more mysterious powers.D. Learn to make creative decisions.(8) What was especially important for Tim’s successful defense in the football game?A. His physical strength.B. His basic skill.C. His real fear.D. His spiritual force.(9) What can be learned from Paragraph 5?A. Confidence grows more rapidly in adults.B. Trying without success is meaningless.C. Repeated failure creates a better life.D. Boldness can be gained little by little.(10) What is the author’s purpose in writing this passage?A. To encourage people to be courageous.B. To advise people to build up physical power.C. To tell people the ways to guarantee success.D. To recommend people to develop more abilities.四、任务型阅读21、【来源】 2015年高考真题天津卷第21题Six days a week, up and down the red hills of northeast Georgia, my grandfather brought the mail to the folks there. At age 68, he retired from the post office, but he never stopped serving the community.On his 80th birthday, I sent him a letter, noting the things we all should be thankful for — good health, good friends and good outcomes. By most measurements he was a happy man. Then I suggested it was time for him to slow down. At long last, in a comfortable home, with a generous pension, he should learn to take things easy.“Thank you for your nice words,” he wrote in his letter back, “and I know what you meant, but slowing down scares me. Life isn't having it made; it's getting it made.”“The finest and happiest years of our lives were not when all the debts were paid, and all difficult experiences had passed, and we had settled into a comfortable home. No. I go back years ago, when we lived in a three-room house, when we got up before daylight and worked till after dark to make ends meet.I rarely had more than four hours of sleep. But what I still can't figure out is why I never got tired, never felt better in my life. I guess the answer is, we were fighting for survival, protecting and providing for those we loved. What matters are not the great moments, but the partial victories, the waiting, and even the defeats. It's the journey, not the arrival, that counts.”The letter ended with a personal request: “Boy, on my next birthday, just tell me to wake up and get going, because I will have one less year to do things — and there are ten million things waiting to be done.”Christina Rossetti, an English poet, once said: “Does the road wind uphill all the way? Yes, to the very end.” Today, at 96, my grandfather is still on that long road, climbing.(6) What was the author’s grandfather before he retired? (no more than 5 words)(7) What did the author advise his grandfather to do in his letter? (no more than 10 words)(8) What is the grandfather’s view on life according to his letter back? (no more than 10 words)(9) How do you understand the underlined sentence in the last paragraph? (no more than 10 words)(10) Do you agree with the grandfather’s view on life? Give reasons in your own words, (no more than 20 words)五、书面表达22、【来源】 2015年高考真题天津卷第22题假设你是晨光中学学生会主席李津，你校拟向美国友好交流学校的中文班捐赠一批图书。

x 二项式定理1.【来源】浙江省 2017 届高三“超级全能生”3 月联考数学试题 在二项式(2x - 1)6的展开式中，常数项是（ C ）xA ．-240B ．240C ．-160D ．160答案及解析：2.【来源】安徽省黄山市 2019 届高三第一次质量检测（一模）数学（理）试题在(1+x )6(1－2x )展开式中，含 x 5 的项的系数是( D ) A. 36B. 24C. －36D. －243.【来源】新疆维吾尔自治区 2018 届高三第二次适应性（模拟）检测数学（理）试题若⎛ 2 1 ⎫n- x ⎪ 展开式中含 x 项的系数为-80，则 n 等于（ A ）⎝ ⎭A ．5B ．6 C.7 D ．84.【来源】浙江省金丽衢十二校联考 2017 届高考二模数学试题在（1+x 3）（1﹣x ）8 的展开式中，x 5 的系数是（ A ） A ．﹣28B ．﹣84C ．28D ．84答案及解析：【考点】二项式定理的应用．【分析】利用二项式定理的通项公式求解即可．【解答】解：由（1+x 3）展开可知含有 x 3 与（1﹣x ）8 展开的 x 2 可得 x 5 的系数； 由（1+x 3）展开可知常数项与（1﹣x ）8 展开的 x 5，同样可得 x 5 的系数； ∴含 x 5 的项+=28x 5﹣56x 5=﹣28x 5；∴x 5 的系数为﹣28， 故选 A【点评】本题主要考查二项式定理的应用，求展开式的系数把含有 x 5 的项找到．从而可以利用通项求解．属于中档题5.【来源】北京东城景山学校 2016-2017 学年高二下学期期中考试数学（理）试题设(3x -1)4 = a + a x + a x 2 + a x 3 + a x 4 ，则 a + a + a + a的值为（ A ）．12341234A ．15B ．16C ．1D ．－15答案及解析： 在(3x -1)4= a + a x + a x 2 + a x 3 + a x 4 中，令 x = 0 ，可得 a = 1 ，1234再令 x = 1可得 a 0 + a 1 + a 2 + a 3 + a 4 = 16 ， 所以 a 1 + a 2 + a 3 + a 4 = 15 ．n 7 7 7 故选 A ．6.【来源】北京西城八中少年班 2016-2017 学年高一下学期期末考试数学试题在(x + y )n的展开式中，若第七项系数最大，则 n 的值可能等于（ D ）．A ．13，14B ．14，15C ．12，13D ．11，12，13答案及解析：(x + y )n 的展开式第七项系数为 C 6 ，且最大，可知此为展开式中间项，当展开式为奇数项时： n= 6 ， n = 12 ，2当有偶数项时 n + 1= 6 ， n = 11， 2 或 n + 1 = 7 ， n = 13 ，2故 n = 11，12 ，13 ． 选 D ．7.【来源】广东省广州市海珠区 2018 届高三综合测试（一）数学（理）试题(x + y )(2x - y )6 的展开式中 x 4 y 3 的系数为（ D ）A ．－80B ．－40C. 40D ．808.【来源】广东省潮州市 2017 届高三数学二模试卷数学（理）试题 在（1﹣2x ）7（1+x ）的展开式中，含 x 2 项的系数为（ B ） A ．71 B ．70 C ．21 D ．49答案及解析：【分析】先将问题转化为二项式（1﹣2x ）7 的系数问题，利用二项展开式的通项公式求出展开式的第 r+1 项，令 x 的指数分别等于 1，2 求出特定项的系数【解答】解：（1﹣2x ）7（1+x ）的展开式中 x 2 的系数等于（1﹣2x ）7 展开式的 x 的系数+（1﹣2x ）7 展开式的 x 2 的系数，（x+1）7 展开式的通项为 T r+1=（﹣2）r C r x r ，故展开式中 x 2 的系数是（﹣2）2C 2+（﹣2）•C 1=84﹣14=60，故选：B ．9.【来源】浙江省新高考研究联盟 2017 届第四次联考数学试题 在二项式(x 2- 1)5 的展开式中，含 x 7的项的系数是（ C ）xA ． -10B. 10C. -5D. 510.【来源】辽宁省重点高中协作校 2016-2017 学年高二下学期期末考试数学（理）试题 已知(1 + x )n的展开式中只有第 6 项的二项式系数最大，则展开式奇数项的二项式系数和为( D ) A ．212B ．211C.210D ．2911.【来源】上海市浦东新区 2018 届高三上学期期中考试数学试卷展开式中的常数项为（ C ）x -A.-1320B.1320C.-220D.22012.【来源】浙江省绍兴一中2017 届高三上学期期末数学试题在（x﹣y）10 的展开式中，系数最小的项是（C ）A．第4 项B．第5 项C．第6 项D．第7 项答案及解析：【考点】二项式定理的应用．【分析】由二项展开式可得出系数最小的项系数一定为负，再结合组合数的性质即可判断出系数最小的项．【解答】解：展开式共有11 项，奇数项为正，偶数项为负，且第6 项的二项式系数最大，则展开式中系数最小的项第 6项．故选C．13.【来源】浙江省金华十校联考2017 届高三上学期期末数学试题在（1﹣x）n=a0+a1x+a2x2+a3x3+…+a n x n中，若2a2+a n﹣5=0，则自然数n的值是（B）A．7 B．8 C．9 D．10答案及解析：【考点】二项式定理的应用．【分析】由二项展开式的通项公式T r+1=•（﹣1）r x r可得a r=（﹣1）r•，于是有2（﹣1）2+（﹣1）n﹣5=0，由此可解得自然数n 的值．【解答】解：由题意得，该二项展开式的通项公式•（﹣1）r x r，∴该项的系数，∵2a2+a n﹣5=0，∴2（﹣1）2+（﹣1）n﹣5=0，即+（﹣1）n﹣5•=0，∴n﹣5 为奇数，∴2==，∴2×=，∴（n﹣2）（n﹣3）（n﹣4）=120．∴n=8．故答案为：8．14.【来源】浙江省重点中学2019 届高三上学期期末热身联考数学试题⎛ 2 ⎫5 1⎪1展开式中，x2的系数是( B )⎝⎭A、80B、－80C、40D、－4015.【来源】山东省德州市2016-2017 学年高二下学期期末考试数学（理）试题a 2 4如果x + x - 的展开式中各项系数之和为2，则展开式中x 的系数是( C ) x xA．8 B．－8 C.16 D．－1616.【来源】云南省昆明市第一中学2018 届高三第八次月考数学（理）试题x x2 ⎪ ⎛1- 1 ⎫ (1+ x )6x 3⎝ ⎭ 展开式中 x 的系数为（B ）A ．－14B ．14C. 15D ．3017.【来源】安徽省安庆一中、山西省太原五中等五省六校（K12 联盟）2018 届高三上学期期末联考数学（理）试题在二项式(x - 1)n 的展开式中恰好第 5 项的二项式系数最大，则展开式中含有 x 2项的系数是（ C ）xA ．35B ．－35C ．－56D ．56答案及解析：第五项的二项式系数最大，则，通项，令，故系数.18.【来源】辽宁省实验中学、沈阳市东北育才学校等五校 2016-2017 学年高二下学期期末联考数学（理）试题 在( - 2)n 的展开式中，各项的二项式系数之和为 64，则展开式中常数项为（ A ）xA ．60B ．45C ． 30D ．1519.【来源】湖北省武汉市 2018 届高三四月调研测试数学理试题 在(x + 1-1)6 的展开式中，含 x 5项的系数为（ B ）xA ．6B ．－6C ．24D ．－24答案及解析：的展开式的通项 ．的展开式的通项=． 由 6﹣r ﹣2s=5，得 r+2s=1，∵r ，s ∈N ，∴r=1，s=0． ∴的展开式中，含 x 5 项的系数为 ． 故选：B ．20.【来源】辽宁省抚顺市 2018 届高三 3 月高考模拟考试数学（理）试题在(2 -1)6 的展开式中，含 1项的系数为( C )xA. －60B. 160C. 60D. 6421.【来源】2018 年高考真题——数学理（全国卷Ⅲ）(x 2+ 2)5 的展开式中 x 4 的系数为( C )xA ．10B ．20C ．40D ．80答案及解析：由题可得 令 ,则所以x2× 4x9 n故选 C.22.【来源】浙江省金华市十校联考 2016-2017 学年高二下学期期末数学试卷在（x 2﹣4）5 的展开式中，含 x 6 的项的系数为（ D ） A ．20 B ．40 C ．80 D ．160答案及解析：【分析】=（﹣4）r，令 10﹣2r=6，解得 r=2，由此能求出含 x 6 的项的系数．【解答】解：∵（x 2﹣4）5， ∴T r+1==（﹣4）r，令 10﹣2r=6，解得 r=2， ∴含 x 6 的项的系数为=160． 故选：D ．23.【来源】浙江省诸暨市牌头中学 2018 届高三 1 月月考数学试题 在⎛x 2 - ⎝2 ⎫6的展开式中，常数项为（ D ）⎪⎭ A ．-240 B ．-60 C ．60 D ．24024.【来源】浙江省湖州市 2017 届高三上学期期末数学试题在（1﹣x ）5+（1﹣x ）6+（1﹣x ）7+（1﹣x ）8 的展开式中，含 x 3 的项的系数是（ D ） A ．121 B ．﹣74C ．74D ．﹣121答案及解析：【考点】二项式定理的应用．【分析】利用等比数列的前 n 项公式化简代数式；利用二项展开式的通项公式求出含 x 4 的项的系数，即是代数式的含 x 3 的项的系数．【解答】解：（1﹣x ）5+（1﹣x ）6+（1﹣x ）7+（1﹣x ）8 ==，（1﹣x ）5 中 x 4 的系数 ，﹣（1﹣x ）9 中 x 4 的系数为﹣C 4=﹣126，﹣126+5=﹣121． 故选：D25.【来源】甘肃省兰州市第一中学 2018 届高三上学期期中考试数学（理）试题在(x 2-1)(x +1)4 的展开式中，x 3 的系数是（ A ） A ．0B ．10C ．－10D ．20答案及解析：(x +1)4 的展开式的通项, 因此在(x 2-1)(x +1)4 的展开式中,x 3 的系数是26.【来源】山西重点中学协作体 2017 届高三暑期联考数学（理）试题在二项式 + 1的展开式中，前三项的系数成等差数列，把展开式中所有的项重新排成一列，有理项都互 x xx 1 ⎝ ⎭不相邻的概率为( D ) A ． 16B ． 14C. 1 3D ． 51227.【来源】湖北省孝感市八校 2017-2018 学年高二上学期期末考试数学（理）试题已知C 0- 4C 1+ 42C 2- 43C 3+ + (-1)n 4nC n= 729 ，则C 1+ C 2+ + C n的值等于（ C ）nnnnnA ．64B ．32 C.63 D ．31答案及解析：nnn因为 ，所因，选 C. 28.【来源】辽宁省重点高中协作校 2016-2017 学年高二下学期期末考试数学（理）试题若òn(2x -1)dx = 6 ，则二项式(1 - 2x )n的展开式各项系数和为( A ) A ．－1 B ．26 C ．1 D ． 2n29.【来源】浙江省金华十校 2017 届高三数学模拟试卷（4 月份）数学试题若(x －1)8=1+a 1x +a 2x 2+…+a 8x 8，则 a 5=（ B ） A ．56B ．﹣56C ．35D ．﹣35答案及解析：利用通项公式即可得出． 解：通项公式 T r+1=（﹣1）8﹣r x r ，令 r=5，则（﹣1）3=﹣56．故选：B ．30.【来源】广东省茂名市五大联盟学校 2018 届高三 3 月联考数学（理）试题6⎛ 1 ⎫ x 4在( + x ) 1+ y ⎪ 的展开式中， y 2 项的系数为（ C ）A ．200B ．180 C. 150 D ．120答案及解析：展开式的通项公式，令可得：，，展开式的通项公式 ，令可得，据此可得： 项的系数为 .本题选择 C 选项.31.【来源】吉林省长春外国语学校 2019 届高三上学期期末考试数学（理）试题 (2－x )(1+2x )5 展开式中，含 x 2 项的系数为（ B ）x x 0 1 2 2017 3n nx A ． 30 B ． 70 C ．90 D ．－15032.【来源】浙江省新高考研究联盟 2017 届第三次联考数学试题若(1 + x )3 + (1 + x )4 + (1 + x )5 + + (1 + x )2017 = a + a x + a x 2 + + a x 2017 ，则 a 的值为（ D ）3 2017 32018 420174201833.【来源】广东省肇庆市 2017 届高考二模数学（理）试题若（x 6+ 1 ）n的展开式中含有常数项，则 n 的最小值等于（ C ）A ．3B ．4C ．5D ．6答案及解析：【分析】二项式的通项公式 T r+1=C ）r ，对其进行整理，令 x 的指数为 0，建立方程求出 n 的最小值．【解答】解：由题意 ）n 的展开式的项为）r =C n r=C r令r=0，得 r ，当 r=4 时，n 取到最小值 5故选：C ．【点评】本题考查二项式的性质，解题的关键是熟练掌握二项式的项，且能根据指数的形式及题设中有常数的条 件转化成指数为 0，得到 n 的表达式，推测出它的值．34.【来源】上海市金山中学 2017-2018 学年高二下学期期中考试数学试题 设(3x -1)6= a x 6+ a x 5+ + a x + a ，则| a | + | a | + | a | + + | a| 的值为…（ B ）651126(A) 26(B) 46(C) 56(D) 26+ 4635.【来源】浙江省台州市 2016-2017 学年高二下学期期末数学试题x -已知在（ 2 1 ）n的展开式中，第 6 项为常数项，则 n =（ D ）A ．9B ．8C ．7D ．6答案及解析：【考点】二项式系数的性质． 【分析】利用通项公式即可得出． 【解答】解：∵第 6 项为常数项，由 =﹣ •x n ﹣6，可得 n ﹣6=0．解得 n=6． 故选：D ．36.【来源】山东省潍坊寿光市 2016-2017 学年高二下学期期末考试数学（理）试题⎛ 1 ⎫6+ 2x ⎪ ⎝ ⎭的展开式中常数项为（ B ） A ．120B ．160C. 200D ．24037.【来源】北京西城八中少年班 2016-2017 学年高一下学期期末考试数学试题 (2x + 3)4 = a + a x + a x 2 + a x 3 + a x 4(a + a + a )2 - (a + a )2若0 1 2 3 4，则 0 2 41 3 的值为（ A ）． 5 x A ． C B ． C C ． C D ． Cx x A ．1 B ．－1 C ．0 D ．2答案及解析：令 x = 1， a + a + + a = (2 + 3)4 ，1 4令 x = -1， a - a + a - a + a= (-2 + 3)4 ，1234而 (a + a + a )2 - (a + a )22413= (a 0 + a 2 + a 4 + a 1 + a 3 )(a 0 - a 1 + a 2 - a 3 + a 4 )= (2 + 选 A ．3)4 (-2 + 3)4 = (3 - 4)4 = 1． 38.【来源】云南省曲靖市第一中学 2018 届高三 4 月高考复习质量监测卷（七）数学（理）试题设 i 是虚数单位，a 是(x + i )6的展开式的各项系数和，则 a 的共轭复数 a 的值是（ B ） A ． －8iB ． 8iC ． 8D ．-8答案及解析：由题意，不妨令 ，则，将转化为三角函数形式，，由复数三角形式的乘方法则，，则，故正确答案为 B.39.【来源】福建省三明市 2016-2017 学年高二下学期普通高中期末数学（理）试题 a 2 52x + x - 的展开式中各项系数的和为－1，则该展开式中常数项为( A ) x xA ．－200B ．－120 C.120 D ．20040.【来源】甘肃省天水一中 2018 届高三上学期第四次阶段（期末）数学（理）试题已知（1+ax ）(1+x )5 的展开式中 x 2 的系数为 5，则 a =( D )A.-4B.-3C.-2D.-141.【来源】广东省深圳市宝安区 2018 届高三 9 月调研测数学（理）试题(1 + 1)(1 + x )5 展开式中 x 2 的系数为 ( A )xA ．20B ．15C ．6D ．142.【来源】甘肃省民乐一中、张掖二中 2019 届高三上学期第一次调研考试（12 月）数学（理）试题⎛ a ⎫ ⎛1 ⎫5x + ⎪ 2x - ⎪ ⎝ ⎭ ⎝⎭ 的展开式中各项系数的和为 2，则该展开式中常数项为( D )A ．-40B ．-20C ．20D ．4043.【来源】浙江省名校协作体 2018 届高三上学期考试数学试题⎛ 1+ 2⎫(1- x )4 展开式中 x 2 的系数为（ C ） x ⎪ ⎝ ⎭A .16B .12C .8D .444.【来源】山西省太原市 2018 届高三第三次模拟考试数学（理）试题已知(x -1)(ax +1)6展开式中 x 2 的系数为 0，则正实数a = （ B ） 22 A ．1B ．C.53D ． 2x 4 5 5 答案及解析：的展开式的通项公式为.令 得 ；令得.展开式 为. 由题意知，解得（舍）.故选 B. 45.【来源】吉林省松原市实验高级中学、长春市第十一高中、东北师范大学附属中学 2016 届高三下学期三校联合模拟考试数学（理）试题(x +1)2 (x - 2)4的展开式中含 x 3 项的系数为( D )A ．16B ．40 C.－40 D ．846.【来源】海南省天一大联考 2018 届高三毕业班阶段性测试（三）数学（理）试题若(2x - 3)2018= a + a x + a x 2 + L + ax 2018 ，则 a + 2a + 3a + L + 2018a= （ D ）122018A ．4036B ．2018C ．-2018D ．-4036123201847.【来源】湖北省天门、仙桃、潜江 2018 届高三上学期期末联考数学（理）试题(1 + x )8 (1 + y )4 的展开式中 x 2y 2 的系数是 ( D )A ．56B ．84C ．112D ．168答案及解析：因的展开式 的系数 ，的展开式 的系数 ，所的系数.故选 D.48.【来源】北京西城八中 2016-2017 学年高一下学期期末考试数学试题 ⎛ x 2 - 在二项式⎝ 1 ⎫5⎪⎭ 的展开式中，含 x 的项的系数是（ C ）． A ．－10B ．－5C ．10D ．5答案及解析：解： ⎛ x 2 - 1 ⎫5⎪ 的展开项T = C k (x 2 )k (-x -1 )5-k = (-1)5-k C k x 3k -5 ，令3k - 5 = 4 ，可得 k = 3， ⎝x ⎭ k +1 5 5∴ (-1)5-k C k = (-1)5-3 C 3= 10 ． 故选 C ．49.【来源】广东省化州市 2019 届高三上学期第二次模拟考生数学（理）试题 已知(x +1)(ax - 1)5的展开式中常数项为－40，则 a 的值为（ C ）xA. 2B. －2C. ±2D. 450.【来源】福建省“华安一中、长泰一中、南靖一中、平和一中”四校联考 2017-2018 学年高二下学期第二次联考试题（5 月）数学（理）试题若(1 - 2 x )n(n ∈ N *) 的展开式中 x 4的系数为 80，则(1 - 2 x )n的展开式中各项系数的绝对值之和为( C ) A ．32B ．81C ．243D ．256。

专题十一并列连词和状语从句题组1 并列连词1.[2017北京,22]—Peter, please send us postcards we’ll know where you have visited.—No problem.2.[2016丙卷(全国Ⅲ),41]In much of Asia, especially the so-called "rice bowl" cultures of China, Japan, Korea, Vietnam, food is usually eaten with chopsticks.3.[2015北京,25]He is a shy man, he is not afraid of anything or anyone.4.[2014北京,21]Some animals carry seeds from one place to another, plants can spread to new places.5.[2014天津,1]Give me a chance, I’l l give you a wonderful surprise.6.[2013北京,22]Don’t turn off the computer before closing all programs, you could have problems.7.[2013新课标全国Ⅰ,32]There’s no way of knowing why one man makes an important discovery another man, also intelligent, fails.8.[2013四川,4]Read this story, you will realize that not everything can be bought with money.9.[2017乙卷(全国Ⅰ)改错]Before getting into the car, I thought I had learned the instructor’s orders, so once I started the car, my mind went blank.10.[2016甲卷(全国Ⅱ)改错]If we stay at home, it is comfortable but there is no need to spend money.11.[2015新课标全国Ⅰ改错]There the air is clean or the mountains are green.题组2 时间状语从句12.[2017北京,28]If you don’t understand something, you may research, study, and talk to other peopleyou figure it out.13.[2016丙卷(全国Ⅲ),45]Over time, the population grew, people began cutting food into small pieces so it would cook more quickly.14.[2015天津,12]We need to get to the root of the problem we can solve it.15.[2015重庆,4]If you miss this chance, it may be years you get another one.16.[2015陕西,20]I believe you will have a wonderful time here you get to know everyone else.17.[2014江西,35]It was the middle of the night my father woke me up and told me to watch the football game.18.[2014陕西,24]The young couple, who returned my lost wallet, left I could ask for their names.19.[2014天津,4] you start eating in a healthier way, weight control will become much easier.20.[2013山东,28] I have to give a speech, I get extremely nervous before I start.21.[2013陕西,18]I have heard a lot of good things about you I came back from abroad.22.[2015陕西改错]My only mistake was that I dropped some on the floor after I was packing them up.题组3 条件状语从句23.[2015江苏,26]It is so cold that you can’t go outside fully covered in thick clothes.24.[2014湖南,26]You will never gain success you are fully devoted to your work.25.[2013重庆,25] we have enough evidence, we can’t win the case.题组4 让步状语从句26.[2017北京,25] birds use their feathers for flight, some of their feathers are for other purposes.27.[2016浙江,5] online shopping has changed our life, not all of its effects have been positive.28.[2015湖南,33] the job takes a significant amount of time, most students agree that the experience is worth it.29.[2014山东,2]I don’t really like the author, I have to admit his books are very exciting.30.[2014北京,29]Even the forest park is far away, a lot of tourists visit it every year.31.[2013辽宁,24]One can always manage to do more things, no matter full one’s schedule is in life.32. [2013天津,5] small,the company has about 1,000 buyers in over 30 countries.题组5 其他状语从句33.[2017江苏,23]Located the Belt meets the Road, Jiangsu will contribute more to the Belt and Road construction.34.[2016北京,33]I really enjoy listening to music it helps me relax and takes my mind away from other cares of the day.35.[2015浙江,9]Just a single word can change the meaning of a sentence, a single sentence can change the meaning of a paragraph.36.[2014重庆,14]Half an hour later, Lucy still couldn’t get a taxi the bus had dropped her.37.[2013江苏,28]In the global economy, a new drug for cancer, it is discovered, will create many economic possibilities around the world.38.[2015新课标全国Ⅱ改错]He liked it so very much that he quickly walked into the shop.A组基础题A单句填空39.[2018江西赣州十四县(市)期中联考,70]I’m a successful businessman now and I think about the troubles in life, I think about that little girl and the remarkable lesson about life that she taught me.40.[2018甘肃天水三中第二次段考,45]The lady at the desk felt so sorry for me she offered to change the flight at no extra cost.41. [2018广西钦州第一次质检,50]I was going into shock, and they called 911 and waited with me, one holding my hand and speaking gently to me that they would stay help came. 42.[2018河南南阳一中第三次考试,51]We know that tasks your group is given, a few rules need to be followed.43.[2018黑龙江大庆四校第一阶段联考,66]It was n’t long I learned how to develop respectful relationships with my bosses and what tone of voice to use with kids.44.[2018湖南益阳、湘潭调研,64]However, it is reported that eating bad food for a long term not only makes us put on weight but can lead to other health problems such as diabetes, and that it can also affect our mental state result in depression.45.[2018山东滨州期中,70]It is meant to highlight the importance of reading anytime and anyplace, and it’s especially helpful children often lose some of the academic ground during the summer holidays.46.[2018安徽江淮十校第二次联考,47]War for the Planet of the Apes may not be the action and monster film that you had in mind, it’s the kind of film that will make you want to sit in silence in the theater for a few minutes after it ends, taking in what you’ve just witnessed. 47.[2018河南豫南豫北名校精英联赛,47]In the state of Iowa, you live more than a mile away from school you can get a school permit.48.[2017黑龙江大庆实验中学检测,69]Jogging is good exercise it doesn’t poll ute the air.49.[2017四川五校高三联考,61]Once upon a time there was a girl who, though of humble origin, was so beautiful she was famous throughout the region.50.[2017江西宜春四校高三联考,64] We know this is a small contribution compared to all the resources and talents already working on these issues. we want to do what we can, working alongside many others.51.[2016浙江宁波十校联考,18]White-collar workers in China are willing to postpone their retirement ageblue-collar workers prefer to retire early.52.[2016湖南十三校一联,27]Linda was quite sure that she was going to miss her train she was not very far from the station.53.[2016湖南衡阳五校联考,28] long as he works hard, I don’t mind when he finishes the experiment.B单句改错54.[2018山西45校高三第一次联考]But she used to be easy to get angry, especially that she was with family members only.55.[2018安徽合肥第一次英语联考]Half a month passed quickly after I knew it, and I learned how to deal with different people.56.[2018甘肃天水三中第二次段考]The passenger was trying to get her name, so she wanted to post on Facebook about what had happened as a sort of appreciation.57.[2018华大新高考联盟教学质量测评]I would appreciate it whether you could understand and cooperate.58.[2018辽宁六校协作体期中联考]As students, we usually sit too long in the classroom, and as a result our eyes and brains get tired. But it is a good idea to play ball games, go swimming, do some running, or even go for a picnic.59.[2018黑龙江齐齐哈尔地区八校期中联考]My eyes were filled with tears as she wiped down the table but guided my dad to the seat.60.[2018湖北荆州第一次质量检测]Because I was very tired, with his encouragement, I finished my first mini-Marathon.61.[2018河南豫南豫北名校精英联赛]It’s very challenging although there are seven cases for grammar.62.[2018"超级全能生"26省联考]While she pulled over to refuel, she found that she’d left her handbag home.63.[2018吉林百校联盟联考]Though computers are very convenient, but handwriting still plays an important role in the modern world.64.[2018湖南怀化期中联考]It is not the result of giving a man a single fish and the result of teaching a man to fish.65.[2018河南郑州外国语学校第六次调研]It’s true that the job market is much harder these days. Therefore, there are certainly some ways to make a living on our own.66.[2018广西防城港高中毕业班1月模拟]The other kid reached out or felt his stomach, joking, "See how big your stomach is, but you are still eating much!"67.[2017湖南长郡中学高三模拟]No matter how you do, being sincere was the most important.B组提升题A专项语篇型填空(并列连词和状语从句)"Everything happens for the best," my mother said 1 I faced disappointment. " 2 you can carry on, one day something good will happen."After graduating from college, I decided to try for a job in a radio station 3 work my way up to a sports announcer. I went to Chicago, knocked on the door of every station, 4 got turned down every time.In one studio, a kind lady advised me to go to the countryside and find a small station, 5 big stations couldn’t risk hiring an inexperienced person. I returned to my hometown, 6 was turned down even when I appl ied for a job in a sports department of a store. It wasn’t long 7 I decided to try my luck again in another city. In Davenport, Iowa, the program director of a company got me beside a microphone and asked me to broadcast an imaginary game.8 I began to work in the company, I’ve always thought of my mother’s words: "Keep on trying9 some day you succeed. Something wouldn’t have happened if not for that previous failure." 10 job I later have done, I always think about what my mother once taught me, which acts as my guideline in life.B语法填空[2018河南中原名校第三次质量考评]The Han Dynasty is one of the most important 41 (dynasty) in Chinese history. There were many 42 (wonder) achievements during this period. It was the first Chinese dynasty 43 (open) its door to other cultures 44 its foreign trade was prosperous. The Silk Road opened up in the Han Dynasty 45 (lead) to the Middle and Western Asia and 46 Rome. Various forms of art blossomed during the period 47 many great works on literature, history and philosophy appeared. The publishing of China’s first dictionary was completed in 100 AD; it contains 9,000 Chinese characters. At 48 same time, great progress 49 (make) in science and technology was really amazing. The Han Dynasty lasted 400 years. However, the rulers’ corruption (腐败) eventually resulted in 50 (it) destruction.C短文改错[2018贵阳高三摸底考试]Life is full of various experiences,some of them are unforgettable.I still remember the hiking experiences with my classmates for 16 km a year later.That summer day, we set off early in the morning, think it would be great fun to walk for so long a distance.However, with the weather is getting hotter and hotter, I found their legs heavier and heavier.What’s worse,my feet began bleeding because long-time pressing against the shoes.At one point, I even wanted to give up.But I manage to drag the rest of the way to the destination.Though not pleasant,this journey was impressive or rewarding.I have learnt that life is a long journey like this.No matter what happened, we should never give up.答案专题十一并列连词和状语从句题组1 并列连词1.so —Peter,请给我们寄一些明信片,这样我们就能知道你去过哪里。

辽宁省沈阳市省重点中学五校联考2023-2024学年高一下学期5月期中英语试题一、听力选择题1．Who are coming to the speakers’ house?A．The man’s parents.B．Their friends.C．Some strangers.2．What time is it now?A．8:25.B．8:45.C．9:00.3．Why does the man want to change his personal style?A．To be more professional.B．To be more fashionable.C．To be more casual.4．What is Chris doing?A．Cutting grass.B．Building a fence.C．Putting in a pool.5．What does the man think he has reached?A．His final goal.B．His maximum limit.C．His greatest moment.听下面一段较长对话，回第以下小题。

6．How does the girl feel about leaving the town?A．Indifferent.B．Upset.C．Eager.7．What’s the probable relationship between the speakers?A．Brother and sister.B．Father and daughter.C．Colleagues.听下面一段较长对话，回第以下小题。

8．Which class did Tom attend today?A．Physics.B．Geometry.C．Chemistry.9．What do we know about Tom?A．He knows little about the moon.B．He is a first-year student in high school.C．He shows little interest in the class.10．Who is the woman in the conversation?A．A scientist.B．Tom’s teacher.C．Tom’s mother.听下面一段较长对话，回第以下小题。

专题8 阅读填空班级姓名学号分数（测试时间：45分钟）1.【东北三省三校2017届高三第二次联合模拟】根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

选项中有两项为多余选项。

Top Ways to Spend the Holiday Season with PetsTaking a nap is a great way to refresh during the holidays, and a nap with your dog or cat (or both) is an excellent bonding opportunity.Holiday time is here. The decorating, the shopping, the cooking, the cleaning, the wrapping...____36____In the season’s craziness, our furry family members tend to get ignored or over-stimulated (过度刺激的). ____37____ But they don’t have to: be sure to pay attention and give them a break from the activity when they need it and add them to the fun when they don’t.● Rest time.If your pet seems stressed, have a safe place for him away from activity. Cats should have a quiet, cozy spot to sleep with food, water, and their litter box. ____38____ Be sure to have a soft area for sleep, a toy or two, water, and some food. But you might need a nap, too, to refresh for holiday festivities. So use this time to take one together.● ____39____Many Christmas tree farms welcome pets on a leash (皮带). Your pet will just love being with you outdoors while you share one of the season’s most honored traditions—picking out the perfect tree. Just be sure to call the farm first to confirm that pets are welcome ... and you have a new annual tradition.● Go have a catch.Give your pup a good run and wear him out ahead of when company visits. ____40____ This way, he’ll be happy and relaxed when greeting guests. Dog parks are ideal as pups can run, chase tennis balls, and socialize with others. Always remember to walk to and from the park with your pup on a leash and poop bags in hand.A. Keep pets on a leash.B. Dogs love playing catch.C. Dogs might also need one.D. But where do our pets fit in?E. Pick out the family Christmas tree.F. As a result, pets can experience restlessness and anxiety.G. Many pets would love to be included in some of the activities.【答案】36. D 37. F38. C 39. E40. B37. F考查对上下文的理解和推理判断能力。

浙江省五校联盟2025届高三12月联考历史试题考生须知：1. 本卷满分 100分, 考试时间90分钟;2. 答题前，在答题卷指定区域填写学校、班级、姓名、试场号、座位号及准考证号；3. 所有答案必须写在答题卷上，写在试卷上无效；4. 考试结束后，只需上交答题卷。

选择题部分一、选择题Ⅰ(本大题共 15 小题，每小题2分，共30分。

每小题列出的四个备选项中只有一个是符合题目要求的，不选、多选、错选均不得分)1. 大汶口文化中晚期的遗址出现了男女合葬墓。

其中一个墓葬中，男性遗体放于墓穴正中，女性则在一旁扩出的一个小长方坑中。

在另外三座墓葬中，多数随葬品偏于男性一侧。

这折射了大汶口文化中晚期处于A. 母系氏族社会时期B. 父系氏族社会时期C. 奴隶制国家形态D. 国家的初始形态2. “羌”作为族群称号，最早出现在商代甲骨文中，后逐渐成为中原人对西方“异族”的一个概念。

某历史学者指出，从商朝到汉晋，中原人心目中“羌”的概念发生了向西的漂移。

观察下图，“羌”的概念向西漂移反映了A.华夏边缘不断扩展B. 少数民族逐渐西迁C. 华夷之辨的观念强化D. 周边地区落后于中原3. 张汤和张敞是西汉时期的能吏。

下表对二人的记载反映出当时《汉书·张汤传》“汤决大狱，欲傅古义， 乃请博士弟子治《尚书》、《春秋》， 补廷尉史， 平亭疑法。

”《汉书·张敞传》“敞本治《春秋》，以经术自辅，其政颇杂儒雅，往往表贤显善，不醇(醇：专的意思)用诛罚……朝廷每有大议，引古今，处便宜，公卿皆服，天子数从之。

”A 儒法学说实现合流B 儒家经义影响司法实践C. 中华法系得以确立D. 法律制定源于儒家经书4 明道二年(1033年)，欧阳修在《上范司谏书》中写道： “谏官虽卑，与宰相等。

……坐乎庙堂之上，与天子相可否者，宰相也。

立于殿陛之前，与天子争是非者，谏官也。

宰相尊，行其道；谏官卑，行其言。

言行，道亦行也。

”由此可见，欧阳修主张A. 削弱相权加强君主专制B. 谏官与宰相地位平等C. 积极发挥谏官的作用D. 建立台谏合一的制度5. 北宋时，南方人在全国统一的省试中优势明显，后来朝廷对北方五路特别保留省试录取名额。

2017届高三第一次五校联考理科数学试题命题：长治二中 晋城一中 康杰中学 临汾一中 忻州一中(考试时间120分钟 满分150分)一、选择题(本大题共12小题，每小题5分，在每个小题给出的四个选项中，只有一项是符合题目要求的)1.已知集合{}3,2,1,0,1,2--=A ,集合{}24x y x B -==,则B A 等于 A. []2,2- B. {}1,0,1- C. {}2,1,0,1,2-- D.{}3,2,1,02.已知复数z 满足i z ii 4311+=⋅-+，则z = A. 62 B. 7 C. 25 D. 53.下列命题正确的个数为 ①“R x ∈∀都有02≥x ”的否定是“R x ∈∃0使得020≤x ”;②“3≠x ”是“3≠x ”成立的充分条件;③命题“若21≤m ，则方程0222=++x mx 有实数根”的否命题 A. 0 B. 1 C. 2 D. 3 4.某几何体的三视图如图所示，则该三视图的体积为A. 3πB. π34C. 2πD. π38 5.函数xx y sin =的图象大致是5.阅读右边的程序框图，运行相应的程序，当输入N=6时，输出的s=A. 62B. 64C. 126D. 1247.已知双曲线E:12222=-b y a x 的右焦点为F ，圆C ：42222c y c x =+⎪⎭⎫ ⎝⎛-与双曲线的渐近线交于A ，B ，O 三点（O 为坐标原点）.若ABF ∆为等边三角形，则双曲线E 的离心率为A. 3B. 2C. 5D. 38.向量,a b ()0a b a -⋅= ,则,a b 的夹角的余弦值为A. 0B. 13C. 12D.9.已知n x x ⎪⎭⎫ ⎝⎛+31的展开式中没有常数项，则n 不能是 A. 5 B. 6 C. 7 D. 810.不透明的袋子内装有相同的五个小球，分别标有1-5五个编号，现有放回的随机摸取三次，则摸出的三个小球的编号乘积能被10整除的概率为A. 12542B. 12518C. 256D. 12512 11.已知函数()⎪⎭⎫ ⎝⎛-=6sin πωx x f （ω> 0）,若()⎪⎭⎫ ⎝⎛-=20πf f 且在⎪⎭⎫ ⎝⎛2,0π上有且仅有三个零点，则ω= A. 32 B. 2 C. 326 D. 314 12.已知函数()()x x x x x f ++++=1lnsin 22，若不等式()()3393-⋅+-xx x m f f < 0对任意R ∈x 均成立，则m 的取值范围为 A. ()132,-∞- B. ()132,+-∞- C. ()132,132-+- D. ()∞++-，132二、填空题(本大题共4小题，每小题5分，共20分，把答案填在答卷纸的相应位置上)13.抛物线()02≠=a ax y 的准线方程为 .14.设函数()x f 是定义在R 上的奇函数，且对任意的()()x f x f R x 12,=+∈,当[)0,2-∈x 时，()2log (3)f x x =+，则())2015(2017f f -= .15.已知y x ,满足约束条件⎪⎩⎪⎨⎧≥+-≤--≤-+02202202y x y x y x ，若02≥++k y x 恒成立，则实数k 的取值范围为 .16.已知ΔABC 是斜三角形，角A ，B ，C 所对的边分别为,,a b c ,若21,cos 3sin ==c C a A c 且()A A B C 2sin 5sin sin =-+，则ΔABC 的面积为 .三、解答题：解答应写出文字说明，证明过程或演算步骤.17. (本小题满分12分)已知数列{}n a 的前n 项和n n a S -=1，其中*∈N n .（I ）求{}n a 的通项公式；（II ）若n n na b =，求{}n b 的前n 项和n S .18. (本小题满分12分)如图，菱形ABCD 的中心为O,四边形ODEF 为矩形，平面ODEF ⊥平面ABCD ，DE=DA=DB=2（I ）若G 为DC 的中点，求证：EG//平面BCF;（II ）若2=,求二面角O EH D --的余弦值.19. (本小题满分12分)甲、乙两人组成“火星队”参加投篮游戏，每轮游戏中甲、乙各投一次，如果两人都投中，则“火星队”得4分；如果只有一人投中，则“火星队”得2分；如果两人都没投中，则“火星队”得0分.已知甲每次投中的概率为54，乙每次投中的概率为43；每轮游戏中甲、乙投中与否互不影响，假设“火星队”参加两轮游戏，求：（I ）“火星队”至少投中3个球的概率；（II ）“火星队”两轮游戏得分之和X 的分布列和数学期望EX. 20. (本小题满分12分)已知椭圆C :()012222>>=+b a b y a x 的左焦点为F,⎪⎪⎭⎫ ⎝⎛221，A 为椭圆上一点,AF 交y 轴于点M,且M 为AF 的中点.（I ）求椭圆C 的方程；（II ）直线l 与椭圆C 有且只有一个公共点A ，平行于OA 的直线交l 于P ,交椭圆C 于不同的两点D,E ，问是否存在常数λ，使得PE PD PA ⋅=λ2，若存在，求出λ的值，若不存在，请说明理由.21. (本小题满分12分)已知函数x ax x x f 2ln )(2--=.（I ）若函数)(x f 在⎥⎦⎤⎢⎣⎡∈241，x 内单调递减，求实数a 的取值范围；（II ）当41-=a 时，关于x 的方程b x x f +-=21)(在]4,1[上恰有两个不相等的实数根，求实数b 的取值范围.请考生在第22、23、24题中任选一题做答，如果多做，则按所做的第一题计分.22. (本小题满分10分)如图，已知AB 为圆O 的直径，D C ,是圆O 上的两个点，C 是劣弧BD 的中点,AB CE ⊥于E ,BD交AC 于G ，交CE 于F.（I ） 求证：FG CF =（II ）求证：CE AG AC DG ⋅=⋅.23. (本小题满分10分)在直角坐标系xoy 中，直线l 的参数方程为为参数）t t y t x (222221⎪⎪⎩⎪⎪⎨⎧+=+=， 以坐标原点为极点，x 轴的正半轴为极轴，建立极坐标系，曲线2C 的极坐标方程为θρsin 4=.（I ）写出直线l 的普通方程和曲线2C 的直角坐标方程；（II ）直线l 与曲线2C 交于B A 、两点，求AB .24. (本小题满分10分)已知函数12)(-++=x x x f（I ）求不等式5)(>x f 的解集；（II ）若对于任意的实数x 恒有1)(-≥a x f 成立，求实数a 的取值范围.：。

101：天津市第一中学2017届高三上学期第三次月考理数试题 已知函数()2lnhxaxx. （1）当1a时，求()hx在(2,(2))h处的切线方程； （2）令2()()2afxxhx，已知函数()fx有两个极值点12,xx，且1212xx，求实数a的取值范围；

（3）在（2）的条件下，若存在02[1,2]2x，使不等式20()ln(1)(1)(1)2ln2fxamaa

对任意a（取值范围内的值）恒成立，求实数m的取值范围 102：天津市南开中学2018届高三第一次月考 设函数.21ln)(2bxaxxxf

（1）当2,3ba时，求函数)(xf的单调区间； （2）令),30(21)()(2xxabxaxxfxF其图象上任意一点),(00yxP处切线的斜率81k恒成立，求实数a的取值范围； （3）当0ba时，令,)(,1)()(mxxGxxfxH若)(xH与)(xG的图象有两个交点),(11yxA,),(22yxB,求证：.2221exx

103：天津市新华中学2018届高三上学期第一次月考数学（理） 已知函数xxaxfln)(在点)1(1f，处的切线与x轴平行。 （1）求实数a的值 （2）是否存在区间2(,)(0)3ttt，使函数)(xf在此区间上存在极值和零点？若存在，求实数t的取值范围，若不存在，请说明理由

（3）如果对任意的212,[,)xxe，有212111)()(xxkxfxf，求实数k的取值范围。

104：天津市实验中学2018届高三上学期期中（第三阶段）考试数学（理）试题 设函数()2ln()fxaxxaR （1）若()fx在点(,())efe处的切线斜率为1e，求a的值； （2）当0a时，求()fx的单调区间； （3）若()xgxaxe，求证：在0x时，()()fxgx.

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15. 西服领通常不测量领大规格，在实际扣园中领口处已含劈的量。
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16. 服装的设计要素由造型设计和色彩设计两大部分构成。
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17. 服装人体中的童体比例要表现的是夸张的、拉长后的人体体型。
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18. 结构素描其特点是线条为主要表现手段，强调物体的光影变化。
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19. 用各种线条来表示物体空间位置，画面主要地方可画得实一些，次要的地方可得画虚一些。
2. 服装上设计塔克是的宽度 0.3 cm，在纸样上设置成 0.35 cm，主要是为了填补衣片的厚度。
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3. 在长领类的设计中，前横开领会比后横开领大
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4. 平领是指后领有领座，而前领座的翻折线自然变低或消失的一类领型。
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5. 样板上的缝制标记除打刀眼位，还可以是钻孔，如省尖点上的就要钻眼，这样就可以知道收省位。
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20. 一般人体的正常比例为人 8 头而服装人体则必须要 9 人头高。
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21. 服装画人体五官可夸张任何的一个细节部位。
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22. 服装流行预测是从服装的外部轮廓开始的。
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23. 优雅风格的服装简练、规范、精致和端庄最具代表性的服装品牌是高田贤三和安娜苏。

专题1 以数学文化史为背景的专题训练题型一渗透数学文化的数列题1.【2017届安徽省池州市东至县高三12月联考】《九章算术》是我国古代的数学名著，书中有如下问题：“今有五人分五钱，令上二人所得与下三人等，问各得几何？”其意思为“已知甲、乙、丙、丁、戊五人分五钱，甲、乙两人所得与丙、丁、戊三人所得相同，且甲、乙、丙、丁、戊所得依次成等差数列，问五人各得多少钱？”（“钱”是古代一种重量单位），这个问题中，甲所得为（）钱A. B. C. D.2.【2017届甘肃天水一中高三理12月月考】《张丘建算经》是我国南北朝时期的一部重要数学著作，书中系统的介绍了等差数列，同类结果在三百多年后的印度才首次出现．书中有这样一个问题，大意为：某女子善于织布，后一天比前一天织的快，而且每天增加的数量相同，已知第一天织布5尺，一个月（按30天计算）总共织布390尺，问每天增加的数量为多少尺？该问题的答案为（）A．829尺 B．1629尺 C．3229尺 D．12尺3.【2017届湖南长沙一中高三月考五】“珠算之父”程大位是我国明代伟大是数学家，他的应用数学巨著《算法统综》的问世，标志着我国的算法由筹算到珠算转变的完成.程大位在《算法统综》中常以诗歌的形式呈现数学问题，其中有一首“竹筒容米”问题：“家有九节竹一茎，为因盛米不均平，下头三节三升九，上梢四节贮三升，唯有中间两节竹，要将米数次第盛，若有先生能算法，也教算得到天明.”（［注释］三升九：3.9升.次第盛：盛米容积依次相差同一数量.）用你所学的数学知识求得中间两节的容积为（）A.1.9升 B.2.1升C.2.2升D.2.3升4.【2017届山西省临汾一中、忻州一中、长治二中等五校高三上学期第五次联考】在我刚明代数学家吴敬所著的《九章算术比类大全》中，有一道数学命题叫“宝塔装灯”，内容为“远望魏巍塔七层，红灯点点倍加增；共灯三百八十一，请问顶层几盏灯？”（“倍加增”指灯的数量从塔的顶层到底层按公比为的等比数列递增），根据此诗，可以得出塔的顶层和底层共有（）A. 盏灯B. 盏灯C. 盏灯D. 盏灯5.【2017届湖北孝感市高三上学期第一次统考试】《九章算术》中有一个“两鼠穿墙”问题：“今有垣(墙，读音)厚五尺，两鼠对穿，大鼠日（第一天）一尺，小鼠也日（第一天）一尺.大鼠日自倍（以后每天加倍）,小鼠日自半（以后每天减半）.问何日相逢，各穿几何？”在两鼠“相逢”时，大鼠与小鼠“穿墙”的“进度”之比是： .6.【2017届河南漯河高级中学高三12月月考】“中国剩余定理”又称“孙子定理”．1852年，英国来华传教士伟烈亚力将《孙子算经》中“物不知数”问题的解法传至欧洲．1874年，英国数学家马西森指出此法符合1801年由高斯得到的关于问余式解法的一般性定理，因而西方称之为“中国剩余定理”．“中国剩余定理”讲的是一个关于整除的问题，现有这样一个整除问题：将1到2016这2016个数中，能被3除余1且被5整除余1的数按从小到大的顺序排成一列，构成数列{}n a，则此数列的项数为_____________．7.【2017届湖北省荆、荆、襄、宜四地七校考试联盟高三2月联考】“斐波那契”数列由十三世纪意大利数学家斐波那契发现．数列中的一系列数字常被人们称之为神奇数．具体数列为：，即从该数列的第三项数字开始，每个数字等于前两个相邻数字之和．已知数列为“斐波那契”数列，为数列的前项和，则（Ⅰ）__________；（Ⅱ）若，则__________．（用表示）8.【2017届吉林省吉林市普通中学高三毕业班第二次调研测试】艾萨克·牛顿（1643年1月4日----1727年3月31日）英国皇家学会会长，英国著名物理学家，同时在数学上也有许多杰出贡献，牛顿用“作切线”的方法求函数零点时给出一个数列：满足，我们把该数列称为牛顿数列.如果函数有两个零点1，2，数列为牛顿数列，设，已知，，则的通项公式__________．题型二渗透数学文化的立体几何题9.【2017届福建省漳州市七校高三联考】我国古代数学名著《九章算术》中“开立圆术”曰:置积尺数,以十六乘之,九而一,所得开立方除之,即立圆径. “开立圆术”相当于给出了已知球的体积V,求其直径d的一个近似公式3169d V人们还用过一些类似的近似公式. 根据π =3.14159判断,下列近似公式中最精确的一个是（）A．3169d V B．32d V C．3300157d V≈D．32111d V≈10.【2017届河北唐山市高三理上学期期末】《九章算术》中，将底面是直角三角形的直三棱柱称之为“堑堵”，已知某“堑堵”的三视图如图所示，则该“堑堵”的表面积为（）A.4B.642+C.442+D.211.【2017届湖南郴州市高三理第二次质监】我国古代数学名著《数书九章》中有“天池盆测雨”题：在下雨时，用一个圆台形的天池盆接雨水.天池盆盆口直径为二尺八寸，盆底直径为一尺二寸，盆深一尺八寸.若盆中积水深九寸，则平地降雨量是（注：①平地降雨量等于盆中积水体积除以盆口面积；②一尺等于十寸；③台体的体积公式1()3V S S S S h =++下下上上•）. A ． 2寸 B ．3寸 C. 4寸 D ．5寸12.【2017届湖南长沙雅礼中学高三文月考】“牟合方盖”是我国古代数学家刘徽在研究球的体积的过程中构造的一个和谐优美的几何体. 它由完全相同的四个曲面构成，相对的两个曲面在同一个圆柱的侧面上，好似两个扣和（牟和）在一起的方形伞（方盖）. 其直观图如下左图，图中四边形是为体现其直观性所作的辅助线. 其实际直观图中四边形不存在，当正视图和侧视图完全相同时，它的的正视图和俯视图分别可能是（ ）A ．b a ,B ．c a ,C. b c , D ．d b ,13.【2017届湖南师大附中高三理上学期月考四】《九章算术》是我国古代内容记为丰富的数学名著，书中有如下问题：“今有圆堡壔，周四丈八尺，高一丈一尺，问积几何？答曰：二千一百一十二尺．术曰：周自相乘，以高乘之，十二而一”．这里所说的圆堡壔就是圆柱体，它的体积为“周自相乘，以高乘之，十二而一．”就是说：圆堡壔（圆柱体）的体积112V=⨯（底面的圆周长的平方⨯高），则该问题中圆周率π的取值为．题型三渗透数学文化的程序框图题14.【2017届三省高三上学期百校大联考】下边程序框图的算法思路来源于我国古代数学名著《数书九章》中的“秦九韶算法”求多项式的值.执行程序框图，若输入01a=，11a=，20a=，31a=-，则输出u的值为（）A．2 B．1 C．0 D．-115.【2017届云南大理州高三理上学期统测一】下边程序框图的算法思路源于欧几里得名著《几何原本》中的“辗转相除法”，执行该程序框图，若输入,m n分别为225、135，则输出的m=（）A．5 B．9C．45 D．9016.【2017届云南省师范大学附属中学高三高考适应性月考】秦九韶算法是南宋时期数学家秦九韶提出的一种多项式简化算法，即使在现代，它依然是利用计算机解决多项式问题的最优算法，即使在现代，它依然是利用计算机解决多项式问题的最优算法，其算法的程序框图如图所示，若输入的分别为，若，根据该算法计算当时多项式的值，则输出的结果为（）A. 248B. 258C. 268D. 278题型四 渗透数学文化的函数题17.【2017届甘肃天水一中高三理12月月考】德国著名数学家狄利克雷在数学领域成就显著，以其名命名的函数1,()0,x f x x ⎧=⎨⎩为有理数为无理数称为狄利克雷函数，则关于函数()f x 有以下四个命题：①(())1f f x =；②函数()f x 是偶函数；③任意一个非零有理数T ，()()f x T f x +=对任意x R ∈恒成立；④存在三个点11(,())A x f x ，22(,())B x f x ， 33(,())C x f x ，使得ABC ∆为等边三角形．其中真命题的个数是（ ）A ．4B ．3C ．2D ．1题型五 渗透数学文化的复数题18.【2017届四川双流中学高三文必得分训练8】欧拉公式cos sin ixe x i x =+（i 为虚数单位）是由瑞士著名数学家欧拉发明的，它将指数函数的定义域扩大到复数，建立了三角函数和指数函数的关系，它在复变函数论里非常重要，被誉为“数学中的天桥”，根据欧拉公式可知，2i e 表示的复数在复平面中位于（ ）A ．第一象限B ．第二象限C ．第三象限D ．第四象限 题型六 渗透数学文化的概率题19.【2017届重庆巴蜀中学高三12月月考】“勾股定理”在西方被称为“华达哥拉斯定理”，三国时期吴国的数学家赵爽创制了一幅“勾股圆方图”，用形数结合的方法给出了勾股定理的详细证明.如图所示的“勾股圆方图”中，四个相同的直角三角形与中间的小正方形拼成一个边长为2的大正方形，若直角三角形中较小的锐角6πα=，现在向该正方形区域内随机地投掷一枚飞镖，飞镖落在小正方形内的概率是（ ）A. 31 343- 3 20.【2017届广东潮阳黄图盛中学高三月考】数学与文学有许多奇妙的联系，如诗中有回文诗：“儿忆父兮妻忆夫”，既可以顺读也可以逆读.数学中有回文数，如343、12521等，两位数的回文数有11、22、33、…、99共9个，则三位数的回文数中，偶数的概率是 .题型七 渗透数学文化的推理题21.【2017届四川成都市高三理一诊】我国南北朝时代的数学家祖恒提出体积的计算原理（祖恒原理）：“幂势既同，则积不容异”.“势”即是高，“幂”是面积．意思是：如果两等高的几何体在同高处截得两几何体的截面积恒等，那么这两个几何体的体积相等．类比祖恒原理，如图所示，在平面直角坐标系中，图1是一个形状不规则的封闭图形，图2是一个上底为1的梯形，且当实数t 取[]0,3上的任意值时，直线y t =被图1和图2所截得的两线段长始终相等，则图1的面积为 ____________．22.【2017届湖南省长沙市雅礼中学高三月考】如图所示，将平面直角坐标系的格点（横、纵坐标均为整数的点）按如下规则标上数字标签：原点处标数字0，点()1,0处标数字1，点(1)1-，处标数字2，点(0)1-，处标数字3，点(11)--，处标数字4，点(10)-，处标数字5，点()11-，处标数字6，点(0)1，处标数字7，…以此类推：记格点坐标为()m n ，的点（m n ，均为正整数）处所标的数字为()f m n =，，若n m >，则()f m n =， ．题型七 渗透现代科技或数学时事的创新题23.【2017福建莆田二十四中高三理月考】把11化为二进制数为( ).A.1 011(2)B.11 011(2)C.10 110(2)D.0 110(2)。

2025届浙江省五校（镇海中学高三第三次模拟考试英语试卷请考生注意：1．请用2B铅笔将选择题答案涂填在答题纸相应位置上，请用0．5毫米及以上黑色字迹的钢笔或签字笔将主观题的答案写在答题纸相应的答题区内。

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第一部分（共20小题，每小题1.5分，满分30分）1．I wish you wouldn't be so________；you make faces at everything I say.A．weird B．polite C．reluctant D．serious2．________ some leaders and scientists have praised China’s achievement in space technology, others regard China’s progress as a threat.A．Unless B．OnceC．Even though D．Now that3．—Did you meet Mr. Smith?—Yes. When I arrived, he ________ for New York to attend a press conference.A．was just leaving B．just leftC．just leaves D．had just left4．—Mum，look at my shoes．I need a new pair．—________．I bought them for you only a week ago!A．Y ou bet B．You said itC．Y ou don't say D．You name it5．Had it not been for his experience in the forest，we ____________ in the battle with the fierce bear.A．hadn't survived B．wouldn't have survivedC．didn't survived D．wouldn't survive6．Maybe it is time for the rest of society to _________ the fact _________ I may not be able to walk, there are many other great things I can do.A．adjust to; that B．get used to; that while C．adapt to; while D．go about; that while7．一When he know the result of today’s job interview?一In a couple of days．A．should B．may C．shall D．must8．The disabled guy was attended throughout his school day by a nurse ________ to guard him.A．to appoint B．appointedC．appointing D．having appointed9．The coat I bought yesterday is not expensive at all. As a matter of fact, I would gladly have paid ______ for it. A．as much twice B．much as twiceC．as twice much D．twice as much10．We’ll build a power station ______ water resources are plentiful.A．where B．in whichC．which D．that11．—Dad, you should have taken me to the football match this morning.—I had intended to, but I couldn’t spare any time, I _____ a report.A．had written B．wroteC．was writing D．would write12．— How do you think I can make up with Jack?— Set aside _______ you disagree and try to find _______ you have in common.A．what; what B．what; where C．where; what D．where; whether13．The creation can keep people away from their smart phones in a way similar to ________ e﹣cigarettes have allowed people to quit smoking．A．that B．howC．which D．what14．Mary was pleased to see that the seeds she ______ in the garden were growing.A．was planting B．has planted C．would plant D．had planted15．Repairs of historic buildings have to be _____ the original structure.A．in sympathy with B．in search ofC．in response to D．in contrast to16．In Beijing, more than 21,100 people ________ to donate their bodies by the end of 2017, as the city promoted a body donation campaign from 1999.A．have applied B．had appliedC．would have applied D．applied17．Alth ough values may be ____, it’s helpful to share them with your partner for additional support.A．terminal B．personalC．crucial D．practical18．She said her ________ is enough to support her in later years and that her only hope is that her son can visit regularly. After all she had not much time left.A．pension B．benefit C．allowance D．bonus19．As John Lennon once said, life is ________ happens to you while you are busy making other plans.A．Which B．thatC．what D．where20．We are living in an age________ QR codes(二维码)are becoming more and more popular in our daily life.A．why B．thatC．whose D．when第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。

2019年新城区第十九中学高考数学选择题专项训练（一模）抽选各地名校试卷，经典试题，有针对性的应对高考数学考点中的难点、重点和常规考点进行强化训练。

第 1 题：来源：湖南省益阳市2016_2017学年高一数学下学期3月月考试题试卷及答案函数f(x)＝，则y＝f(1－x)的图象是( )【答案】C第 2 题：来源：广东省揭阳市普宁2017_2018学年高二数学上学期第一次月考试题理试卷及答案已知等差数列{an}满足a1+a2+a3+…+a101=0，则有（）A．a1+a101＞0 B．a2+a100＜0 C．a3+a99=0 D．a51=51【答案】C第 3 题：来源：安徽省阜阳市第三中学2018_2019学年高一数学上学期小期末考试（期末模拟）试题（理文A）．函数的图像大致是（）A B CD【答案】A第 4 题：来源： 2016_2017学年贵州省铜仁市碧江区高二数学下学期期中试题试卷及答案理已知复数，是z的共轭复数，则=（）A.B. C.1D.2【答案】A第 5 题：来源：安徽省蚌埠市第二中学2018_2019学年高一数学下学期期中试题（含解析）已知数列，满足，，，则数列的前10项的和为A. B. C.D.【答案】D【详解】由an+1﹣an2，所以数列{an}是等差数列，且公差是2，{bn}是等比数列，且公比是2．又因为＝1，所以an＝+（n﹣1）d＝2n﹣1．所以b2n﹣1＝•22n﹣2＝22n﹣2．设，所以＝22n﹣2，所以4，所以数列{∁n}是等比数列，且公比为4，首项为1．由等比数列的前n项和的公式得：其前10项的和为（410﹣1）．第 6 题：来源：山西省等五校2017届高三第五次联考数学试题（理）含答案.已知正项数列的前项和为，当时，且，设，则的最小值为A. 8B. 9C. 10D. 12【答案】B第 7 题：来源： 2017年高考仿真卷•数学试卷含答案(三)理科某城市建经济适用房,已知甲、乙、丙三个社区分别有低收入家庭360户、270户、180户,若首批经济适用房中有90套住房可解决低收入家庭的住房问题,则应从乙社区中抽取低收入家庭的户数为( )A.40B.36C.30D.20【答案】.C 解析应从乙社区抽取的户数为90=30.故选C.第 8 题：来源：福建省厦门市2016_2017学年高二数学下学期期中试题试卷及答案理有一段“三段论”推理是这样的：对于可导函数，如果，那么是函数的极值点，因为函数在处的导数值，所以，是函数的极值点.以上推理中（）A．大前提错误 B．小前提错误 C．推理形式错误 D．结论正确【答案】A第 9 题：来源：高中数学第三章导数及其应用单元检测新人教B版选修1_曲线y＝x3＋x在点处的切线与坐标轴围成的三角形面积为( )A．1 B．C．D．【答案】B第 10 题：来源： 2019年普通高等学校招生全国统一考试数学（浙江卷）（含答案）设0＜a＜1，则随机变量X的分布列是则当a在（0,1）内增大时，A．D（X）增大 B．D（X）减小C．D（X）先增大后减小 D．D（X）先减小后增大【答案】D第 11 题：来源： 2017-2018学年吉林省通化市梅河口高一（上）期末数学试卷（2）含答案解析使奇函数在上为增函数的θ值为（）A． B． C． D．【答案】B解：==．∵函数f（x）为奇函数，∴，则，取k=0，得，此时f（x）=2sin2x，满足在上为增函数．第 12 题：来源：辽宁省大石桥市2017_2018学年高二数学9月月考试题在等差数列前项和为，若，则的值为（）A. B. C. D. 【答案】A第 13 题：来源：河北省邢台市2018届高三数学上学期第一次月考（开学考试）试题理已知，是方程的两个根，则的值是（）A．4 B．3 C．2 D．1【答案】C第 14 题：来源：山东省济南市2018届高三数学上学期12月考试试题理试卷及答案原命题：“，为两个实数，若，则，中至少有一个不小于1”，下列说法错误的是（）A．逆命题为：若，中至少有一个不小于1，则，为假命题B．否命题为：若，则，都小于1，为假命题C．逆否命题为：若，都小于1，则，为真命题D．“”是“，中至少有一个不小于1”的必要不充分条件【答案】A第 15 题：来源： 2017届黑龙江省大庆市高三数学考前得分训练试题试卷及答案文已知函数，其中，从中随机抽取个，则它在上是减函数的概率为（）A. B. C. D.【答案】B第 16 题：来源：贵州省遵义市2016_2017学年高二数学下学期第一次月考试题理试卷及答案如图，在边长为1的正方形OABC中任取一点P，则点P恰好取自阴影部分的概率为（）A． B． C． D．【答案】C第 17 题：来源：四川省成都市第七中学2019届高三数学一诊模拟考试试题理（含解析）设分别是的内角的对边，已知，设是边的中点，且的面积为，则等于（）A. 2B. 4C. -4D. -2【答案】A【解析】【分析】利用三角形内角和定理可得．由正弦定理可得b2+c2﹣a2=bc，由余弦定理可得cosA=，结合范围A∈（0，π）可得A的值，结合的面积求得bc,将利用向量加减法运算转化为,即可求得结果.【详解】∵，，∴由正弦定理可得：，整理可得：b2+c2﹣a2=-bc，∴由余弦定理可得：cosA=，∴由A∈（0，π），可得：A=，又的面积为，即,∴bc=4,又=-=-=-===-bccosA=2.故选A.【点睛】本题主要考查了向量加减法的运算、数量积的运算，综合运用了正弦定理，余弦定理，三角形面积公式，考查了转化思想和计算能力，属于中档题．第 18 题：来源： 2019年普通高等学校招生全国统一考试文科数学（全国卷Ⅱ）（含答案）文档已知a∈（0，），2sin2α=cos2α+1，则sinα=A． B．C． D．【答案】B第 19 题：来源：四川省崇州市2016-2017学年高一数学下学期开学考试试题函数f（x）＝Asinωx（A>0，ω>0）的部分图像如图所示，则f（1）＋f（2）＋f（3）＋…＋f（2015）的值为（）A．0 B． C． D．【答案】A第 20 题：来源： 2019_2020学年高中数学第二章等式与不等式2.2.4均值不等式及其应用课后篇巩固提升（含解析）新人教B版必修1设a>0,b>0.若是3a与32b的等比中项,则的最小值为( )A.8B.4C.1D.【答案】A解析由题意可知3=3a32b=3a+2b,即a+2b=1.因为a>0,b>0,所以(a+2b)=+4≥2+4=8,当且仅当,即a=2b=时取“=”.第 21 题：来源：广东省广州市2017_2018学年高二数学上学期10月段考试题试卷及答案执行如图所示的程序框图，输出的的值是( )A．B．0 C.D．【答案】C第 22 题：来源：广东省深圳市普通高中2017_2018学年高二数学下学期4月月考试题6201805241398已知函数规定：给出一个实数，赋值，若，则继续赋值，…，以此类推，若，则，否则停止赋值，如果得到称为赋值了次.已知赋值了次后停止，则的取值范围是（）A． B． C． D．【答案】C第 23 题：来源：海南省2016_2017学年高一数学下学期期中题文试卷及答案一个四棱锥的侧棱长都相等，底面是正方形，且其正视图为如图所示的等腰三角形，则该四棱锥的体积是（）A. B. C. D.【答案】A【解析】由正视图可知，四棱锥的底面正方形棱长为2，四棱锥的高为，所以其体积为第 24 题：来源：江西省南昌市第二中学2018_2019学年高二数学上学期期中试题理M是椭圆上一动点，F1和F2是左右焦点，由F2向的外角平分线作垂线，垂足为N，则N点的轨迹为( )A.直线 B．圆 C．双曲线 D．抛物线【答案】B第 25 题：来源：黑龙江省牡丹江市2016_2017学年高一数学下学期期中试卷（含解析）已知数列{an}满足a1＞0， =，则数列{an}是（）A．递增数列 B．递减数列 C．摆动数列 D．不确定【答案】B【考点】8H：数列递推式．【分析】先利用累乘法表示出数列{an}的通项公式，再根据函数性质求出数列{an}的通项公式，再判断即可．【解答】解：∵，∴．上面的n﹣1个式子相乘，得．∴．∵，∴由指数函数的性质知，数列{an}是递减数列．故选B．第 26 题：来源：河北省唐山市2017_2018学年高二数学上学期期中试题理试卷及答案平面内动点到两点距离之比为常数，则动点的轨迹叫做阿波罗尼斯圆，若已知，，，则此阿波尼斯圆的方程为（）【答案】D第 27 题：来源：江西省南昌市2018届高三数学第二轮复习测试题（二）理（含解析）在圆内，过点的最短弦的弦长为A. B. C. D.【答案】D【解析】【分析】先将圆的方程化为标准式，找到圆心和半径，过点的最短弦长是过点M和OM垂直的弦,再根据垂径定理得到结果.【详解】圆，化简为：点在圆的内部，记圆心为O点，则最短弦长是过点M和OM垂直的弦，OM=根据垂径定理得到弦长为：=故答案为：D.【点睛】这个题目考查的是圆的性质和应用，一般和圆有关的问题很多情况下可利用数形结合来解决的，很少联立；在求圆上的点到直线或者定点的距离时，一般是转化为圆心到直线或者圆心到定点的距离，再加减半径，分别得到最大值和最小值；涉及到圆的弦长或者切线长时，经常用到垂径定理.第 28 题：来源： 2017年成都市高考数学二诊试卷（理科）含答案解析设函数f（x）=log2x，在区间（0，5）上随机取一个数x，则f（x）＜2的概率为（）A． B． C． D．【答案】D【考点】几何概型．【分析】解不等式f（x）＜2的解，利用几何概型的概率公式即可得到结论．【解答】解：∵log2x，x∈（0，5）．∴由f（x）＜2，得log2x＜2解得0＜x＜4，∴根据几何概型的概率公式可得若从区间（0，5）内随机选取一个实数x，f（x）＜2的概率为： =，故选D．第 29 题：来源： 2019高中数学第二章平面向量单元测试（二）新人教A版必修4已知，，，则向量a与向量b的夹角是（）A． B． C．D．【答案】C【解析】∵，∴，∴，∴．故选C．第 30 题：来源： 17年江西省全国统一考试理科数学仿真试卷（五）含答案已知（是实数），其中是虚数单位，则（）A．－2 B．－1 C．1 D．3【答案】A【解析】由题设可得，则，故，应选答案A．第 31 题：来源：山西省吕梁地区2019届高三数学上学期第一次阶段性测试试题理已知是函数的一个极大值点，则，则的一个单调题赠区间是A. B. C. D.【答案】C第 32 题：来源：广东省江门市第二中学2017_2018学年高二数学11月月考试题（含解析）数列前项的和为（）A. B.C. D.【答案】B【解析】数列前项的和故选B．第 33 题：来源： 2016_2017学年河南省新野县高二数学下学期第四次周考试题试卷及答案理a，b∈R，复数（a2﹣4a+6）+（﹣b2+2b﹣4）i表示的点位于（）A．第一象限 B．第二象限 C．第三象限 D．第四象限【答案】D第 34 题：来源：江西省南昌市2018届高三数学上学期第三次月考试题理试卷及答案设集合M={m∈Z|﹣3＜m＜2}，N={n∈Z|﹣1≤n≤3}，则M∩N=（）A．{0，1} B．{﹣1，0，1} C．{0，1，2} D．{﹣1，0，1，2}【答案】B第 35 题：来源：山东省枣庄市第三中学新城校区2019届高三数学12月月考试题理（含解析）已知全集U={1，2，3，4，5}，A={1，3}，则A. B. {1，3} C. {2，4，5} D. {1，2，3，4，5}【答案】C【解析】分析:根据补集的定义可得结果.详解：因为全集，，所以根据补集的定义得,故选C.点睛：若集合的元素已知，则求集合的交集、并集、补集时，可根据交集、并集、补集的定义求解．第 36 题：来源：湖北省部分重点中学2018届高三数学起点考试试题试卷及答案理若满足条件，则目标函数的最小值是A． B． C．D．【答案】B第 37 题：来源：甘肃省嘉峪关市酒钢三中2016-2017学年高一数学上学期期末考试试题试卷及答案直线的倾斜角为（）A． B．C．D．【答案】C第 38 题：来源：四川省资阳市2019届高三数学第一次诊断性考试试题理（含解析）已知集合，，则A. B. C. D.【答案】D【解析】【分析】求出函数的定义域，化简集合，然后根据交集的定义求解即可.【详解】，由交集的定义可得，故选D.第 39 题：来源：湖北省襄阳市优质高中2017届高三数学1月联考试题试卷及答案理已知集合，则A. B. C. D.【答案】C第 40 题：来源：四川省眉山一中办学共同体2018_2019学年高二数学上学期期中试题理已知三棱柱ABC－A1B1C1的侧棱与底面垂直，体积为，底面是边长为的正三角形.若P为底面A1B1C1的中心，则PA与平面ABC所成角的大小为 ( )【答案】.B第 41 题：来源：福建省厦门市2016_2017学年高一数学下学期期中试题试卷及答案下列说法中正确的是A．若两个向量相等,则它们的起点和终点分别重合B．模相等的两个平行向量是相等向量C．若和都是单位向量, 则=D．零向量与其它向量都共线【答案】D第 42 题：来源：江西省南昌市2017_2018学年高二数学上学期第三次月考试题试卷及答案理的导函数为（）A. B. C.D.【答案】B第 43 题：来源： 2016-2017学年重庆市璧山中学高二数学上学期期中试题试卷及答案理已知点P(a，b)在圆O：x2＋y2＝r2内，则直线m是以P为中点的弦所在的直线，直线l的方程为ax＋by＝r2,那么 ( )A．m//l且l与圆相离 B．m l且l与圆相切C．m//l且l与圆相交D．m l且l与圆相离【答案】A第 44 题：来源：广东省湛江市普通高中2018届高考数学一轮复习模拟试题07已知点为△ABC外接圆的圆心，且,则△ABC的内角A等于（）A. B. C. D.【答案】A第 45 题：来源：湖北省襄阳市2017届高三第三次适应性考试数学试题（理）含答案已知复数在复平面上对应的点在直线上，复数（是虚数单位），则（）A．B．C． D．【答案】D第 46 题：来源：甘肃省镇原县二中2018_2019学年高二数学上学期期末考试试题理给出两个命题：p：|x|＝x的充要条件是x为正实数，q：不等式|x－y|≤|x|＋|y|取等号的条件是xy＜0，则下列命题是真命题的是( )A．p∧q B．p∨q C．(p)∧q D．(p)∨q【答案】 D第 47 题：来源：湖北省枣阳市2017届高三数学下学期第三次模拟考试试题试卷及答案理已知函数，（，为自然对数的底数），若对任意给定的，在上总存在两个不同的（，），使得成立，则的取值范围是（）A． B．C． D．【答案】A第 48 题：来源：广东省湛江市普通高中2018届高考数学一轮复习模拟试题试卷及答案04若某几何体的三视图如图所示，则这个几何体的体积是A．5 B．6C．7 D．8【答案】C第 49 题：来源：河北省唐山市2017_2018学年高一数学上学期期中试题已知函数，且，则A ．B ．C ．D ．【答案】B第 50 题：来源： 2017年江西省百所重点高中高考数学模拟试卷（理科）含答案在△ABC中，D，E分别为BC，AB的中点，F为AD 的中点，若，AB=2AC=2，则的值为（）A ．B ．C ．D ．【答案】B【考点】9R：平面向量数量积的运算．【分析】根据题意画出图形，结合图形根据平面向量的线性运算与数量积运算性质，计算即可．【解答】解：如图所示，△ABC中，D，E分别为BC，AB的中点，F为AD的中点，，且AB=2AC=2，∴=（+）•=（﹣+）•（+）=﹣﹣•+=﹣×12﹣×（﹣1）+×22=．故选：B．。

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)2r15．如图，一均匀金属圆盘绕通过其圆心且与盘面垂直的轴逆时针匀速转动.现施加一垂直穿过圆盘的有界匀强磁场，圆盘开始减速.在圆盘减速过程中，以下说法不正确的是（ ）A.处于磁场中的圆盘部分，靠近圆心处电势高B.所加磁场越强越易使圆盘停止转动C.若所加磁场反向，圆盘将加速转动D.若所加磁场穿过整个圆盘，圆盘将匀速转动16．如图所示，在匀强磁场中，AB 为长度为L 粗细均匀的金属丝，垂直磁场放置，输出电压恒定的电源接A 、B 两端时，金属丝受到的安培力为F ；若将金属丝只截取一半再弯成一个半圆形，仍然接在刚才的电源两端，则金属丝受到的安培力为（ ）A ．4FB ．2FC ．πF 2 D ．2F ⋅π 17．如图所示，用与水平方向成α角的轻绳拉小物体，小物体水平向右做匀速直线运动，运动的距离为L ，绳中拉力大小恒为F ，则拉力做的功为()A.FLB.FLsin aC.FLcosaD.FLtan a18．如图所示，等离子气流（由高温、高压的等电荷量的正、负离子组成）由左方连续不断地以速度v 0垂直射入P 1和P 2两极板间的匀强磁场中.两平行长直导线ab 和cd 的相互作用情况为：0～1s 内排斥，1s ～3s 内吸引，3s ～4s 内排斥.线圈A 内有外加磁场，规定向左为线圈A 内磁感应强度B 的正方向，则线圈A 内磁感应强度B 随时间t 变化的图象有可能是下图中的（ ）19．如图甲所示，理想变压器原、副线圈的匝数比为5 ：1，原线圈接交流电源和交流电压表，副线圈接有“220V，440W”的热水器、“220V，220W”的抽油烟机.如果副线圈电压按图乙所示规律变化，则下列说法正确的是（）A．副线圈两端电压的瞬时值为u＝（100πt）VB．变流电压表的示数为C．1min内变压器输出的电能为3.96×104JD．热水器的发热功率是抽油烟机发热功率的2倍20．如图所示，一个质量为m的物体(可视为质点)，由斜面底端的A点以某一初速度冲上倾角为30°的固定斜面做匀减速直线运动，减速的加速度大小为g，物体沿斜面上升的最大高度为h，在此过程中（）A.物体克服摩擦力做功12mgh B.物体的动能损失了mghC.物体的重力势能增加了mghD.系统机械能损失了mgh21．质量为m的汽车在平直路面上启动，启动过程的速度图像如图所示，其中OA 为过原点的一条直线。

浙江省五校联盟2025届高三12月联考政治试题考生须知：1. 本卷满分100分, 考试时间 90分钟;2. 答题前，在答题卷指定区域填写学校、班级、姓名、试场号、座位号及准考证号。3. 所有答案必须写在答题卷上，写在试卷上无效：4. 考试结束后，只需上交答题卷。

选择题部分一、选择题】(本大题共16小题，每小题2分，共32分。每小题列出的四个备选项中只有一个是符合题目要求的， 不选、多选，错选均不得分)1 《序言》指出： “亚细亚的、古代的、封建的和现代资产阶级的生产方式可以看做是经济的社会形态演进的几个时代。资产阶级的生产关系是社会生产过程的最后一个对抗形式……是指从个人的社会生活条件中生长出来的对抗”。据此，下列理解正确的是①生产方式变革是推动社会形态更替的依据 ②生产关系是资本主义社会发展的根本动力③马克思主义深刻预示资本主义将走向灭亡 ④各民族历史多样性反映人类社会发展进程A.①② B.①③ C.②④ D.③④2. 马克思指出，资本主义现代化在“财富积累”的同时，必然伴随着“贫困积累” “在一极是财富的积累，同时在另一极，即在把自己的产品作为资本来生产的阶级方面，是贫困、劳动折磨、受奴役、无知、粗野和道德堕落的积累”。这说明资本主义现代化①是以人民为中心的现代化 ②必然导致资本主义的经济危机③是由资本主义的本质决定 ④物的增殖与人的贬值同时存在A.①② B.①④ C.②③ D.③④3. 十月革命一声炮响深刻影响了世界。毛泽东曾说： “世界历史几千年以来都在发展着，进步者，但只有到了第 次世界大战和‘十月革命’之后，才产生了新的方向”。关于“十月革命”及“新的方向” 解读正确的是①诞生世界上首个共产党，开创无产阶级政权先河②建立社会主义生产关系，消灭了人剥削人的制度③冲破帝国主义东方战线，改变世界政治力量对比④产生首个社会主义国家，开启了人类历史新纪元A.①② B.①③ C.②④ D.③④4. 75 年来，新中国成功开创、发展了中国特色社会主义，并以中国式现代化全面推进中华民族伟大复兴。实践证明，这离不开党的统一领导和人民的勤劳奉献，离不开真理的指引，也离不开制度的支撑。由此可知①中国式现代化是推进中华民族伟大复兴的前提条件②党的领导是全面推进中华民族伟大复兴的根本保证③中国特色社会主义的实践推动马克思主义与时俱进④人民是历史的创造者，是推动社会发展的决定力量A.①② B.①③ C.②④ D.③④5. 结合图示，从革命到改革，新中国的发展充满生机活力，这体现了①中国在不断解决社会基本矛盾的过程中实现发展②中国共产党把中国的具体国情作为其行动的依据③伟大的改革精神是实现中国社会变革的直接动力④中特理论体系是立足时代、与时俱进的科学理论A.①② B.①③ C.②④ D.③④6. 随着国有资本从部分行业和领域退出，截至 2024 年 9 月，中国实有民营经济主体总量达18086.48 万户，同比增长 3.93%，占经营主体总量的 96.37%。其中服务业集中了大量的民营经济主体，占本行业经营主体的比重约为98.41%。材料说明①民营经济逐步提高市场经济中的地位 ②民营经济逐渐成为服务业发展的重要力量③国有经济在服务行业已不起主导作用 ④国有经济为民营经济腾出更大的发展空间A.①② B.①③ C.②④ D.②③7. 下表为我国2024年前三季度国民收入的主要统计数据(单位：亿元)

河南省五校2017-2018学年八年级英语上学期期末联考（1月）试题 Listening 听力部分（20分）I. Listen and choose the best answer.听句子，选择最佳答语.（5分）( )1.A.Yes, I'd love to. B. That's too bad. C. Sorry to hear that.( )2.A.Sure, go ahead. B. No, thanks. C. Yes, she did.( )3.A.You're right. B. You'd better not. C. It's terrible.( )4.A.The same to you. B. Yes, I am. C. Why not?( )5.A.Meat. B. Grass. C. Bamboo.Ⅱ.Listen to the dialogue and choose the best answer.昕对话，选择最佳答案.(5分)( )6. What time will the school sports meet begin?A. At 8:30 a m.B. At 9:30 a.m.C. At. 10:30 am.( )7. What does the girl ask Jack to do?A To open the door. B. To close the window. C. To open the window.( )8. What does the boy think of classical music?A He likes it very much B. He doesn't mind it. C. He hates it.( )9. What are they talking about?A The fire. B. The policeman C. The telephone.( )10. How heavy is the stone?A. About 2 tons.B. About 2.5 tons.C. About 3.5 tons.Ⅲ.Listen to the long dialogue and choose the best answer.听长对话，选择最佳答案.（5分）听下面一段对话，回答11-12小题。