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.