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高中英语真题:2014年高三年级第二次统一练习英语试卷本试卷共10页，共150分。
考试时长120分钟。
考生务必将答案答在答题卡上，在试卷上作答无效。
考试结束后，将答题卡交回。
第一部分：听力理解（共三节，30分）第一节（共5小题；每小题1.5分，共7.5分）听下面5段对话。
每段对话后有一道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听完每段对话后，你将有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话你将听一遍。
1. What language can the woman speak?A. French.B. Japanese.C. Chinese.2. What is the man going to eat for dinner?A. Chicken.B. Fish.C. Pizza.3. Why is the man going to the post office?A. To see his friend.B. To post some letters.C. To buy some stamps.4. Where are the two speakers?A. In the bank.B. In the classroom.C. In the supermarket.5. What will the man do on Saturday?A. Go boating.B. Play football.C. Play tennis.第二节（共10小题；每小题1.5分，共15分）听下面4段对话或独白。
每段对话或独白后有几道小题，从每题所给的A、B、C三个选项中选出最佳选项。
听每段对话或独白前，你将有5秒钟的时间阅读每小题。
听完后，每小题将给出5秒钟的作答时间。
每段对话或独白你将听两遍。
听第6段材料，回答第6至7题。
6. Where was the woman born?A. In .B. In .C. In .7. How long will the woman stay in ?A. Four years.B. Ten years.C. Twelve years.听第7段材料，回答第8至9题。
2014年小学六年级检测试卷英 语时量：60分钟 满分：60分一、单项选择。
（10分）（ ）1. Beijing is in the of China.A. southB. eastC. north （ ）2. Lucy likes playing the piano, but Lily likes playing volleyball. A. the, / B. the, the C. /, the （ ）3. What your father ?A. do, doB. does, doC. does, does. （ ）4. They are visit us next week.A. came toB. comingC. coming to （ ）5. The Mid-autumn Festival is usually September. A. in B. on C. at （ ）6. ---You can speak English very well.---A. Not much.B. Thank you.C. No, I don’t think so.（ ）7. If you see an old man is hurt, you can telephone No. A. 119 B. 120 C. 114 （ ）8. ---How much is it?--- 8 dollars.A. It isB. They areC. Its（ ）9. Do you enjoy basketball ？A. to playB. playingC. play （ ）10. Before summer is .A. springB. winterC. autumn电话号 家长 姓名 考 考室 姓 学装 订 线二、补全对话，从下面的方框中选择的选项补全对话。
(10分)(Bob is ill today. He telephones his teacher, Miss Yang.)Bob: Hello, May I speak to Miss Yang, please?Miss Yang: 11.Bob: Miss Yang, I’m sorry; I can’t come to school today.Miss Yang: 12.Bob: Because I’m ill today, I have a headache.Miss Yang: 13.Bob: Yes, I do.Miss Yang: Oh, dear, you are very ill. 14.Bob: Thank you. Goodbye.Miss Yang: 15.11-15: （请将本题答案填在此处）三、我是啄木鸟医生。
高二年级考试英语试题2014.07第一部分英语知识运用（共两节, 满分50分）第一节语法和词汇知识(共20小题；每小题1分, 满分20分)从A、B、C、D四个选项中, 选出可以填入空白处的最佳选项, 并在答题卡上将该项涂黑。
1. ______ new system makes it easier for people to have ______ access to railway tickets.A. The; 不填B. The; anC. A; theD. A; an2. Last night we went to Ann’s party，______ we enjoyed ourselves very much．A．there B．that C. which D. where3. The local residents strongly objected to their cars ______for parking here.A. chargedB. being chargedC. chargingD. be charged4. Everyone can receive education. That is to say，education is taken as a right rather thana(n) ______．A．privilege B．encouragement C．assistance D．dignity5. Though we take a great risk of investing in the project, it will______ in the long run.A. go offB. turn upC. pay offD. come up6. Tom said that not until he began to work ______ how much time he had wasted.A. didn't he realizeB. did he realizeC. he didn't realizeD. he realized7. According to experts，China needs to ______ its one-child family planning policy to fight against a worsening gender (性别) imbalance and an aging population.A．arrange B．apply C．adjust D．adapt8. ______ computers are of great benefit to the development of science and technology.A. The fact thatB. That the fact isC. What the fact is thatD. The fact is that 9．There is a mountain, ______ is always covered with snow.A. the top of thatB. the top of whichC. whose the topD. the whose top 10．He was ______by his husband’s sudden death and the loss of her pet dog.A. cast downB. cast awayC. cast offD. cast aside11．AIDS is said ______the biggest health challenge to both men and women in that area overthe past few years.高二英语试题第1页（共12页）A．that it is B．to be C．to have been D．that it has been12．—I’m sure Andrew will win the first prize in the final.—I think so. He ______ for it for months.A．is preparing B．was preparing C．had been preparing D．has been preparing13．______ hard late into the night, he soon fell ill in bed.A. To workB. WorkingC. Being workedD. Having worked14．Keep me ______of the meeting tomorrow in case I should forget.A. suspectedB. accusedC. remindedD. informed15. —The plane is due to take off at 7:50 from the airport.—______we fail to arrive there in time?—Try to take another flight then.A. What ifB. As ifC. Even ifD. Only if16. With the advances of technology, plastics have taken the place of many______ materials. A．conventional B．optional C．artificial D．potential17．The performance of the host，______ to please the audience and draw their attention，was greeted with a cold silence，however.A．had intended B．intended C．intending D．to intend18．The success of a government should be measured ______ the happiness of the people as well as the development of economy.A．in face of B．in place of C．in terms of D．in honor of19. — Have you booked a room at the hotel?— I ______ to the hotel the o ther day, but they haven’t answered yet.A. have writtenB. wroteC. had writtenD. write20. —Our team will play against the Rockets this weekend. I’m sure we’ll win!—______!A. CheersB. CongratulationsC. Good luckD. Go ahead第二节完形填空(共20小题；每小题1.5分, 满分30分)阅读下面短文, 掌握其大意, 然后从21—40 各题所给的四个选项（A、B、C和D）中选出最佳选项, 并在答题卡上将该项涂黑。
2014年学业水平考试综合训练二亲爱的同学：你好! 答题前，请仔细阅读以下说明：1.本试卷共10页，分第Ⅰ卷和第Ⅱ卷两部分。
第Ⅰ卷1至6页，第Ⅱ卷7至10页，共120分。
考试时间90分钟。
2.请清点试卷，然后将考生信息填涂在答题卡上，并将第Ⅱ卷密封线内的项目填写清楚。
3.将选择题答案用2B铅笔涂在答题卡对应题目的标号上，将非选择题答案用蓝色或黑色钢笔、圆珠笔填写在试卷指定位置上。
希望你能愉快地度过这90分钟，祝你成功！第Ⅰ卷（共70分）一、听力测试（共25小题, 计30分）（一）请看图听句子，选择与画面意思一致的选项。
每组句子听一遍。
(每小题1分)1.（A B C ）2. ( A B C )3. ( A B C )4. ( A B C ) （二）请听句子，选择适当的答语。
每个句子听两遍。
(每小题1分)5. A. By bus. B. took the bus. C. In a school.6. A Yes, it's near here. B. No, you needn't go there. C. No, it's five minutes' walk.7. A. when he was ten. B. Five years ago. C. Since five years ago8. A. Of course not. B. Yes, I would. C. No, I wouldn’t.9. A. I’m glad to see you. B. It’s great. C. what a pity!10. A. Thank you very much. B. Yes, I’d l ove to. C. Sorry, I’m late.（三）请听对话和对话后的问题，选择正确答案。
对话和问题听两遍。
(每小题1分)11. A. Tuesday. B. Monday. C. Thursday.12. A. on the right. B. In front of the street. C. On the left.13. A. Sometimes. B. Never. C. Every day.14. A. Buy a pen. B. Change a pen. C. Take a pen.15. A. Bill is. B. Li Lei is. C. John is.（四）请听一段对话和对话后的问题，选择正确答案。
2013-2014学年度第二学期期末考试八年级英语试卷说明:本试卷分第Ⅰ卷和第Ⅱ卷. 第Ⅰ卷为选择题,第Ⅱ卷为非选择题.全卷满分120分.第Ｉ卷（选择题，共85分）第一部分听力部分一、听力测试（共三节，满分25分）第一节（共5小题, 每小题1分，满分5分）听下面5个问题，每个问题后有三个答语，从题中所给的A、B、C三个选项中选出最佳选项。
听完每个问题后, 你都有5秒钟的时间来作答和阅读下一小题。
每个问题仅读一遍。
1. A. Huang Mountain B. Qomolangma C. The Sahara2. A. Well done. B. It’s interesting. C. Once upon a time.3. A. I was reading. B. It was boring. C. You were chatting.4. A. For Five years. B. I like English. C. English is interesting.5. A. Sunny. B. Disneyland. C. Relaxing.第二节（共7小题, 每小题1分，满分7分）听下面7段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。
听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
6. How's the man?A. He's fine.B. He's old.C. He's kind.7. How far is it from the home to school?A. 16 milesB. 60 milesC. 61 miles8. Why doesn’t the woman want to go to the space museum?A. She doesn’t like it.B. She doesn’t have time.C. She has been there twice.9. When did the concert begin?A. At 7:55.B. At 7:25.C. At 7:30.10. What will the woman do right away?A. Go to work.B. Feed the cat.C. Do the housework.11. What are they going to do?A. They are talking about their work.B. They are doing their work.C. They are going to the concert.12. What did the man do?A. He had a traffic accident.B. He broke the traffic rules.C. There was something wrong with his car.第三节（共13小题，每小题1分，满分13分）听下面4段对话或独白。
2014年高三英语第二学期期中试卷及答案以下是为大家整理的关于《2014年高三英语第二学期期中试卷及答案》，供大家学习参考！2014年高三英语第二学期期中试卷及答案第一部分听力(共两节，满分30分)第一节(共5小题;每小题1.5分，满分7.5分)听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. Where is this bus going?A. South.B. East.C. North.2. How does the woman probably feel?A. Excited.B. Nervous.C. Unhappy.3. Where does the man want to visit?A. Spain.B. Italy.C. France.4. What are the speakers talking about?A. A nice hairstyle.B. Their wedding.C. An old photo.5. What has the bear been doing?A. Eating campers’ food.B. Chasing the tourists.C. Attacking the park rangers (护林员).第二节(共15小题;每小题1.5分，满分22.5分)听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出选项，并标在试卷的相应位置。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟;听完后，各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料，回答第6至7题。
6. What is the woman’s native language?A. Korean.B. English.C. Chinese.7. How does the man practise his German?A. He often travels to Berlin.B. He uses German a lot in his work.C. He speaks to his neighbor in German.听第7段材料，回答第8至9题。
2014-A卷参考答案一、单项选择题1.A2.B3.C4.A5.A6.A7.B8.C9.C 10.C11.B 12.A 13.C 14.B 15.A二、多项选择题1.ACD2.ABCD3.AC4.ABCD5.ABCD6.ABCD7.ABCD8.ABCD9.ABC 10.ABD三、选择题：（正确的√，错误的×）1、×；2、×；3、√；4、×；5、×；6、×；7√；8、√；9、√；10、×；四、问答题1、答：组织机构保障责任，规章制度保障责任，物质资金保障责任，管理保障责任，事故报告和应急救援责任。
2、答：根据生产安全事故造成的人员伤亡或者直接经济损失，事故一般分为特别重大事故、重大事故、较大事故和一般事故四个等级。
3、答：安全生产百日攻坚行动的工作目标是按照省政府安委会的统一部署，在全省粮食行业以排查和治理十五个方面的安全隐患为工作重点，强化安全生产措施，堵塞安全管理漏洞，坚决防范和遏制各类安全生产事故，确保全行业安全生产形势持续稳定。
4、答：（1）距有害元素的矿山、炼焦、炼油、煤气、化工（包括有毒化合物的生产）、塑料、橡胶制品及加工、人造纤维、油漆、农药、化肥等排放有毒气体的生产单位，不小于1000米；（2）距屠宰场、集中垃圾堆场、污水处理站等单位，不小于500米；（3）距砖瓦厂、混凝土及石膏制品厂等粉尘污染源，不小于100米。
2014-B卷参考答案一、填空题1.强化红线意识促进安全发展2.用人单位3. 2011年1月1日4.玩忽职守5.不伤害自己不伤害他人不被他人伤害6.安全第一预防为主综合治理7.工伤保险待遇8.易燃品易爆品化学危险品9.15日以下拘留10.主要负责人11.当地公安部门12.责任人13.在1小时内14. 6个月15.安全生产责任制二、选择题1.C2.C3.B4.C5.C6.B7.A8.C9.B 10.C11.B 12.C 13.A 14.A 15.B 16.B 17.A 18.A 19.C 20.B三、简答题1.答：安全生产百日攻坚行动的工作目标是：按照省政府安委会的统一部署，在全省粮食行业以排查和治理十五个方面的安全隐患为工作重点，强化安全生产措施，堵塞安全管理漏洞，坚决防范和遏制各类安全生产事故，确保全行业安全生产形势持续稳定。
2014届高三年级第二次四校联考英语试题（考试时间120分钟，满分150分，听力不计入总分）第Ⅰ卷（选择题共115分）第一部分听力（共两节,满分30分）第一节(共5小题；每小题1.5分，满分7.5分)听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What does the man mean?A. He doesn't know why the coffee tastes bad.B. He thinks they ought to go to the coffee shop.C. He only wants coffee because he isn't hungry.2. Why did the man want to go to the library?A. To return a book.B. To borrow a book.C. To read something.3. What does the man mean?A. Margie has gone home.B. He's known Margie for a long time.C. He just met Margie.4. Why was Carl at the hospital?A. He was sick.B. His wife was sick.C. He was visiting his daughter.5. What is the woman riding in?A. In a train.B. In a plane.C. In a taxi.第二节(共15小题；每小题1.5分，满分22.5分)听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置，听每段对话或独白前，你有时间阅读各个小题，每小题5秒钟；听完后，各小题给出5秒钟的作答时间，每段对话或独白读两遍。
2014英语试题及答案一、听力理解（共20分）1. A) At the office. B) At the airport. C) At the hotel. D) At the bank.2. A) In 1998. B) In 1999. C) In 2000. D) In 2001.3. A) He is a manager. B) He is a teacher. C) He is a student. D) He is a doctor.4. A) She is a secretary. B) She is a manager. C) She is a teacher. D) She is a doctor.5. A) He is going to the beach. B) He is going to the park. C) He is going to the museum. D) He is going to the library.6. A) She is going to the cinema. B) She is going to the theater. C) She is going to the concert. D) She is going to the ballet.7. A) He is going to the supermarket. B) He is going to the bookstore. C) He is going to the restaurant. D) He is going to the gym.8. A) She is going to the bakery. B) She is going to the flower shop.C) She is going to the grocery store. D) She is going to the hardware store.9. A) He is going to the post office. B) He is going to the police station. C) He is going to the fire station. D) He is going to the hospital.10. A) She is going to the airport. B) She is going to the train station.C) She is going to the bus station. D) She is going to the subway station.答案：1-5: B C A B C6-10: A B A D A二、阅读理解（共30分）Passage 111. What is the main topic of the passage?A) The benefits of exercise. B) The importance of sleep. C) The effects of stress. D) The role of diet.12. According to the passage, which of the following is NOT a cause of stress?A) Work. B) Family. C) Hobbies. D) Finances.13. What is the best way to deal with stress mentioned in the passage?A) Exercise. B) Sleep. C) Medication. D) Counseling.Passage 214. What is the author's main argument in this passage?A) Technology is a double-edged sword. B) Technology is making our lives easier. C) Technology is causing social isolation. D) Technology is replacing human jobs.15. Which of the following is NOT a benefit of technology mentioned in the passage?A) Increased productivity. B) Improved communication. C) Enhanced privacy. D) Easier access to information.16. What does the author suggest we should do about technology?A) Rely on it completely. B) Be cautious of its effects. C) Avoid it altogether. D) Embrace it without question.Passage 317. What is the main purpose of the passage?A) To advertise a new product. B) To describe a historical event. C) To provide travel advice. D) To explain a cultural phenomenon.18. What is the author's opinion about traveling?A) It is always enjoyable. B) It can be tiring but rewarding. C) It is a waste of time and money. D) It is only for the wealthy.19. What is the best piece of advice given in the passage?A) Plan everything in advance. B) Be flexible with your plans. C) Always carry a map. D) Never trust strangers.答案：11-13: C C A14-16: A C B17-19: C B B三、完形填空（共20分）阅读下面的短文，掌握其大意，然后从每题所给的四个选项（A、B、C、D）中，选出最佳选项。
廉江实验学校小学部2020-2021学年度第一学期五年级数学第九周周二测试题（四则混合运算及简便运算专题）（本卷答题时间30分钟，满分100分）班别姓名考号：成绩一、填空。
(每空2分，共30分）1、根据运算定律填空。
（1）2.5×28×4=（）×28(2) 45+74+55=74+（）（3）（1.25+12.5）×＋2、1.25×11×8=1.25×8×11，这里运用了（）律，1.25×88=1.25×80＋1.25×8，这里运用了（）律。
3、计算10.12÷0.8×2.5时，要按从（）到（）的顺序依次计算。
4里填上“>”“<”或“=”。
××100-1（158+365）二、选择题。
（每小题3分，共12分）1、5.3除以4.7与10.6的和，商是多少？正确的列式是（）A、4.7+10.6÷5.3B、 4.7＋5.3÷10.6C、5.3÷（4.7+10.6）D、（4.7+10.6）÷5.32、1-1（0÷1）+1÷1的得数是（）A、2B、0C、1D、33、下列各组算式中，（）组的得数相同。
A、120＋24÷8和（120＋24）÷8B、160－2×3×4和160-（2+3+4）C、210÷7-140÷7和（210-140）÷7D、24÷6+24÷6和24+6÷6+244、7×0.25×8×4×1.25= 7×（0.25×4）×（1.25×8）应用了（）A、乘法结合律B、乘法交换律C、乘法分配律D、乘法交换律和结合律三、计算下面各题，能简算的要简算。
2014级周二练习试卷（8）
一、选择题（本大题共8各小题，每小题5分，共40分。
在每小题给出的四个选项中，只有一个是符合题目要求的。
）
1.设x,y ∈R,则“x≥2且y≥2”是“x 2+y 2≥4”的( A )
A.充分而不必要条件
B.必要而不充分条件
C.充分必要条件
D.既不充分也不必要条件
2.已知a ＞0，b ＞0，a ＋b ＝2，则y ＝1a ＋4
b 的最小值是( C ) A.72 B ．4 C.9
2 D ．5
解析: 1a ＋4b ＝12(a ＋b )1a ＋4b ＝125＋b a ＋4a b ≥125＋2b a ·4a b ＝92.
当且仅当⎩⎪⎨⎪⎧
b a ＝4a b ，a ＋b ＝2
即a ＝23，b ＝43时取到等号．∴y min ＝9
2.
3. 等差数列{a n }中，S n 是其前n 项和，a 1＝－11，S 1010－S 8
8＝2，则S 11＝( A )
A ．－11
B ．11
C ．10
D ．－10
4.已知函数f(x)=，若f(x)≥1，则x 的取值范围是( D )
A.(-∞,-1]
B.[1,+∞)
C.(-∞,0]∪[1,+∞)
D.(-∞,-1]∪[1,+∞)
解析:将原不等式转化为:或
,从而得x≥1或x≤-1.
5.在数列{a n }中，a 1＝1，a n ＋1－a n ＝n (n ∈N *)，则a 100的值为( D )
A ．5050
B ．5051
C ．4950
D ．4951
6. 设函数f (x )＝x m ＋ax 的导函数为/()22f x x =+，则数列1()f n ⎧⎫⎨⎬⎩⎭
(n ∈N *
)的前n 项和为
( C )
A.
n ＋1n ＋
B. n ＋1n ＋2
C. (35)
4(1)(2)
n n n n +++ D.
3n ＋4
n ＋
7. 等差数列{a n }、{b n }的前n 项和分别为S n 、T n ，且S n T n ＝7n ＋45n －3，则使得a n
b n
为整数的正
整数n 的个数是( C )
A ．3
B ．4
C ．5
D ．6
8.设m ，k 为整数，方程220mx kx -+=在区间（0,1）内有两个不同的根，则m+k 的最小值为（ D ） A ．-8 B ．8
C ．12
D ．13 解：设f (x )＝mx 2－kx ＋2，由f (0)＝2，知f (x )的图象恒过定点(0,2)．
因此要使已知方程在区间(0,1)内有两个不同的根，即f (x )的图象在区间(0,1)内有两
个不同的交点，必有⎩⎪⎨⎪⎧
m >0，
f (1)＝m －k ＋2>0，
0<k
2m <1，Δ＝k 2
－8m >0，
即⎩⎨⎧
m >0，k >0，
m －k ＋2>0，
2m －k >0，k 2
－8m >0，
在直角坐标系mOk 中作出满足不等式平面区域，如图1－4所示，设z ＝m ＋k ，则直线m ＋k －z ＝0经过图中的阴影中的整点(6,7)时，z ＝m ＋k 取得最小值，即z min ＝13.
二、填空题（本大题4个小题，每小题5分，满分20分。
）
9.设数列{}{},n n a b 都是等差数列,若11337,21a b a b +=+=,则55a b +=____35____。
10.数列{a n }的通项公式cos
2
n n a n π
=，其前n 项和为S n ，则S 2012等于 1006 。
11. 已知函数2()()f x x ax b a b =++∈R ，的值域为[0)+∞，，若关于x 的不等式()f x c <的解
集为(6)m m +，，则实数c 的值为 9 。
12.若实数a ，b ，c 满足2a +2b =2a+b ，2a +2b +2c =2a+b+c ，则c 的最大值是 2-log 23 。
解析:∵2a +2b ≥2
,又2a +2b =2a+b ，∴2a+b ≥2
，即2a+b ≥4。
∵2a +2b +2c =2a+b+c ，∴2a+b +2c =2a+b ·2c ，∴+=1，即=1-≥。
∴2c ≤，即log 22c ≤log 2。
故c≤2-log 23.
三、解答题（共3各小题，共40分，解答时应写出文字说明、证明过程或演算步骤） 13.（本题满分13分）已知等差数列{}n a 满足20a =，6810a a +=- （I ）求数列{}n a 的通项公式；
（II ）求数列12n n a -⎧⎫⎨⎬
⎩⎭
的前n 项和． 解：(1)设等差数列{a n }的公差为d ，由已知条件可得⎩⎨⎧ a 1＋d ＝0，2a 1＋12d ＝－10.解得⎩
⎨⎧
a 1＝1，
d ＝－1.
故数列{a n }的通项公式为a n ＝2－n .
(2)设数列⎩⎪⎨⎪⎧⎭
⎪⎬⎪⎫a n 2n －1的前n 项和为S n ，即S n ＝a 1＋a 22＋…＋a n
2n －1，故S 1＝1，
＝a 12＋a 24＋…＋a n
2n . 所以，当n ＞1时，
S n 2＝a 1＋a 2－a 12＋…＋a n －a n －12n －1－a n 2n ＝1－⎝ ⎛⎭⎪⎫12＋14＋…＋12n －1－2－n 2n ＝1－⎝ ⎛
⎭
⎪⎫1－12n －1－2－n 2n
＝n 2n ， 所以S n ＝n 2n －1. 综上，数列⎩⎪⎨⎪⎧⎭
⎪⎬⎪⎫a n 2n －1的前n 项和S n ＝n 2n －1.
14.（本题满分13分）已知函数2
()x f x ax b
=+(a ,b 为常数),且方程f(x)-x+12=0有两个
实根为x 1=3,x 2=4.
(1)求函数f(x)的解析式; (2)设k>1,解关于x 的不等式(1)().2k x k
f x x
+-<
-
解:(1)将x 1=3,x 2=4分别代入方程2120,x x ax b -+=+得9
9,3168,4a b
a b ⎧=-⎪⎪+⎨⎪=-⎪+⎩
解得1,2.a b =-⎧⎨=⎩
所以2
()2x f x x
=- (x≠2).
(2)不等式即为
2(1),22x k x k x x +-<--可化为2(1)0,2x k x k
x
-++<- 即(x-2)(x-1)(x-k)>0,
①当1<k<2时,解集为x∈(1,k)∪(2,+∞);
②当k=2时,不等式为(x-2)2(x-1)>0,其解集为x∈(1,2)∪(2,+∞); ③当k>2时,解集为x∈(1,2)∪(k,+∞). 15.（本题满分14分）
设数列{}n a 满足10a =且
111
1.11n n
a a +-=--
（Ⅰ）求{}n a 的通项公式；
（Ⅱ）设1, 1.n
n n k n k b b S ===<∑记S 证明：
解：（I ）由题设
1111,11n n a a +-=-- 即1
{}1n
a -是公差为1的等差数列。
又
1111,.11n n a a ==--故 所以1
1.n a n
=- （II ）由（I ）得
n b =
=
=，
∴1
1
1 1.n
n
n k k k S b =====<∑∑。
