浙江省杭州市第二中学2015-2016学年高一上学期期末考试英语试题及答案
杭州二中2015学年第一学期高一年级期终考试（2016.01）英语命题、审核、校对：朱旭峰王添添沈一频第Ⅰ卷第一部分：听力（共两节，满分15分）第一节（共5小题；每小题1分，满分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. Which suit does the woman suggest buying?A. The black suit.B. The dark blue suit.C. The grey suit.2. What did the man do this morning?A. He took a photo.B. He had an interview.C. He went to the theatre.3. Where will the woman probably go next?A. Back to her hotel.B. To a bank around the corner.C. Somewhere near the train station.4. Who might Amanda be?A. The man’s wife.B. The man’s best friend.C. The man’s girlfriend.5. What will the man do about his sore (疼痛的) throat?A. Drink some hot tea.B. Take some medicine.C. Stay home from work and rest.第二节（共10小题；每小题1分，满分10分）听下面4段对话。
每段对话后有2—4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，你将有5秒钟的时间阅读各个小题；听完后，各小题将给出5秒钟的作答时间。
每段对话读两遍。
听下面一段对话，回答第6--7题。
6. What time is it now?A. 7:10 p.m.B. 7:20 p.m.C.7:30 p.m.7. What will the woman probably do?A. Go to another place.B. Keep waiting for Mr. Smith.C. Come back tomorrow afternoon.听下面一段对话，回答第8--9题。
8. Why did the man’s father move to Canada?A. To be closer to the man.B. To get away from his wife.C. To enjoy more activities in nature.9. What does the woman say about her parents?A. They get along well.B. They live in Canada.C. Their marriage has broken up.听下面一段对话，回答第10--12题。
10. What’s the bad thing about the community pool?A. It’s expensive.B. It’s not big enough.C. The water is not very clean.11. What is important to the woman when it comes to swimming?A. The price.B. Being clean.C. The depth.12. What can we learn about the man?A. He has Mondays off.B. He goes swimming three times a week.C. He hasn’t been swimming for a long time.听下面一段对话，回答第13--15题。
13. Why did the woman learn two new languages?A. So she could do research for her books.B. So she could write in other languages.C. So she could speak them when traveling.14. What does the woman think her greatest advantage is?A. She is a mother.B. She has written books for children.C. She has taken courses in children’s writing.15. What will the speakers probably discuss next?A. Money.B. Vacation.C. Children.第二部分：英语知识运用（共两节，满分25分）第一节：单项填空（共10小题；每小题1分，满分10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。
16. The rainforests’ disappearing at a(an) _______ rate is said to be responsible for global warming.A.annoyingB. alarmingC. annoyedD. alarmed17. Laws and _______ are a must in keeping the whole society in order.A.regulationsB. targetsC. barriersD. details18. The locals are willing to _______ the costs of building a highway to the city center.A.assumeB. transformC. forbidD. shoulder19. The man over there just ignored the No Smoking _______ and lit a cigarette in the library.A.signalB. signC. trackD. tip20. The last time I met Miss Yang, I found she has changed beyond _______.A.recognitionB. requestC. damageD. type21. People who are sent to prison for drunk-driving get what they _______.A.deserveB. demandC. volunteerD. harm22. Whether we will have our sports meeting on time is at the _______ of the weather.A.controlB. mercyC. effectD. result23. I’d _______ it a lot if you could offer me the chance to further my study in your university.A.employB. chargeC. appreciateD. settle24. _______ flowers, once widely used on many occasions in China, are now being replaced by natural ones.A.MagicalB. SincereC. FormalD. Artificial25. There was a time when we could _______ nobody but struggle on our own.A.turn overB. turn toC. turn inD. turn out第二节：完型填空（共15小题；每小题1分，满分15分）阅读下面短文，掌握其大意，然后从26--40题所给的四个选项（A、B、C、D）中，选出最佳选项，并在答题纸上将该选项标号涂黑。
Carmen’s mother Maria had just survived a serious heart attack. But without a heart transplant (移植) her life was in constant danger.Both the mother and daughter knew that the chances were very small: finding a donor (捐赠) heart that 26 Maria’s blood type could take years. However, Carmen was determined to save her mother. She kept 27 hospitals all over the country.Days went by. By Christmas, Maria had trouble walking from one end of the room to the other. Carmen lost all 28 . She fell into a corner of the hospital, crying.“Are you okay?” a man asked.Carmen was in tears as she told the stranger her 29 . This middle-aged man was named Frank, whose wife, Cheryl, a devoted mother of four lovely children, had been in hospital with a brain disease and wouldn’t 30 it through the night. Suddenly, an idea 31 Frank’s mind. He knew Cheryl had always wanted to donate something from herself. Could her heart go to Carmen’s mo ther?After reviewing the data, doctors 32 Frank that his wife’s heart was a perfect 33 for Carmen’s mother. They were able to 34 the transplant.That cold night, when Cheryl was pronounced dead, Frank came to knock at Maria’s door. She was 35 for Frank’s family as she had been doing every day recently. 36 Maria had never met Frank before, they both felt a strange bond (联系) 37 they hugged and cried.On New Year’s Eve, Carmen attended Cheryl’s funeral (葬礼) with Frank’s family, who were singing their 38 song “My heart will go on.”One day later, on New Year’s Day, Maria 39 with Cheryl’s heart. Yes, Cheryl’s loving heart would go on, for it was alive in 40 loving mother’s chest.26 A. matched B. corrected C. supported D. adapted27. A. finding B. phoning C. touring D. begging28. A. confidence B. power C. hope D. strength29. A. event B. condition C. truth D. story30. A. put B. support C. pass D. make31. A. returned to B. came to C. stuck to D. led to32. A. informed B. warned C. congratulated D. reminded33. A. fix B. mix C. fit D. matter34. A. give up B. carry out C. search for D. put off35. A. praying B. asking C. crying D. singing36. A. As if B. Though C. Even if D. Because37. A. after B. as C. before D. until38. A. smart B. merry C. favorite D. sad39. A. passed away B. dressed up C. left behind D. woke up40. A. some B. every C. another D. any第三部分：阅读理解（共15小题。
浙江省杭州市第二中学2015-2016学年高一上学期期末考试英语试卷Word版含答案.doc
杭州二中2015学年第一学期高一年级期终考试（2016.01）英语命题、审核、校对：朱旭峰王添添沈一频第Ⅰ卷第一部分听力（共两节，满分15分）第一节（共5小题；每小题1分，满分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. Which suit does the woman suggest buying?A. The black suit.B. The dark blue suit.C. The grey suit.2. What did the man do this morning?A. He took a photo.B. He had an interview.C. He went to the theatre.3. Where will the woman probably go next?A. Back to her hotel.B. To a bank around the corner.C. Somewhere near the train station.4. Who might Amanda be?A. The man’s wife.B. The man’s best friend.C. The man’s girlfriend.5. What will the man do about his sore (疼痛的) throat?A. Drink some hot tea.B. Take some medicine.C. Stay home from work and rest.第二节（共10小题；每小题1分，满分10分）听下面4段对话。
每段对话后有2—4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。
2015-2016学年高一英语上学期期末考试试题
2015-2016学年度上学期（期末）考试高一英语试题【新课标】试卷说明：1、本试卷满分150分，答题时间120分钟。
2、请将答案直接填涂在答题卡上，考试结束只交答题卡。
第一部分：选择题（共四节, 满分90分）第一节：单项填空（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。
1. ________it is to throw snowballs at each other on the playground after snow!A. How funB. What funC. What a funD. How funny2.We find ______ easy to get along with our new teachers here.A. thatB. itC. thisD. 不填3.--Tom is _____ to computer games.--No wonder he is not doing well in school recently.A. interestedB. curiousC. crazyD. addicted4.The computer system _______suddenly while he was searching for information on the Internet.A. broke downB. broke outC. broke upD. broke in5.Her singing career _______ after an appearance in the Spring Festival TV Show ten years ago.A. got offB. put offC. set offD. took off6. Is this the first time that Jack ______ this kind of food?A. enjoysB. has enjoyedC. enjoyedD. had enjoyed7. He is a man with rich experience, _________ much can be learned.A. whoB. from whoC. from whomD. what8. _______ is known to us all, America is a developed country _________ theFirst World.A. As; belongs toB. As; belonging toC. What; belonging toD. It; belongs to9. —I won the first prize in the English speech contest held in our school last month!—_______!A. Thank youB. Enjoy yourselfC. CongratulationsD. Good Luck10. Reading is ____ good habit. Stick to it, and you’ll make _______ progress.A. a, /B. a, aC. /, aD. the, a11. Prices of daily goods _______through a computer can be lower than store prices.A. are boughtB. boughtC. been boughtD. buying12. Frank put the medicine in the top drawer to make sure it would not be _____ to the kids.A. relativeB. accessibleC. acceptableD. changeable13. _____ the difficult maths problem, I have consulted(咨询) Professor Russell several times.A. Working outB. Worked outC. To work outD. Work out14. Tsinghua University, _____ in 1911, is home to a great number of outstanding figures.A. foundB. foundingC. foundedD. to be founded15. Do you get up every morning _____ energetic and ready to start a new day?A. feelB. feelingC. to feelD. felt16. Swimming is my favorite sport. There is _____ like swimming as a means of keeping fit.A. somethingB. anythingC. nothingD. everything17. To my great surprise, he wasn’t _____ when he heard the _____ news.A. surprising; surprisingB. surprised; surprisingC. surprised; surprised C. surprising; surprised18. We really appreciate _____ to your party on Saturday.A. invitingB. to inviteC. being invitedD. to be invited19. When I was young, I _____ in a faraway village for several years, which is unforgettable.A. livedB. have livedC. was livedD. had lived20. The roads are crowded _____ walking is quicker than driving.A. in order thatB. so thatC. so as toD. in order to第二节：阅读理解。
浙江省杭州二中高一英语上学期期末试卷新人教版
2013学年第一学期杭州二中高一年级英语期末试卷本试卷分第I卷（选择题）和第II卷（非选择题）两部分，共100分，考试时间90分钟第I卷（共75分）第一部分：听力 (共两节，满分15分)第一节（共5小题，每小题1分，满分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l0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 think of the car?A. Cheap.B. Old.C. Nice.2. What can we learn about the man?A. He took a taxi to the airport.B. He came back home by taxi.C. He wanted taxi service information.3. What is the woman trying to do?A. Blame the girl.B. Complain to the man.C. Stop the man being angry.4. Where has the man been?A. In China.B. In Canada.C. In Thailand.5. How did the woman know of the Garden Cafe?A. She has been there once.B. She got to know it on Internet.C. The man talked about it to her.第二节（共10小题，每小题1分，满分10分）听下面3段对话。
每段对话后有几个小题，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。
(完整版)浙江省杭州市第二中学2015-2016学年高一上学期期末考试英语试卷Word版含答案.doc
杭州二中2015学年第一学期高一年级期终考试（2016.01）英语命题、审核、校对：朱旭峰王添添沈一频第Ⅰ卷第一部分听力（共两节，满分15分）第一节（共5小题；每小题1分，满分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. Which suit does the woman suggest buying?A. The black suit.B. The dark blue suit.C. The grey suit.2. What did the man do this morning?A. He took a photo.B. He had an interview.C. He went to the theatre.3. Where will the woman probably go next?A. Back to her hotel.B. To a bank around the corner.C. Somewhere near the train station.4. Who might Amanda be?A. The man’s wife.B. The man’s best friend.C. The man’s girlfriend.5. What will the man do about his sore (疼痛的) throat?A. Drink some hot tea.B. Take some medicine.C. Stay home from work and rest.第二节（共10小题；每小题1分，满分10分）听下面4段对话。
每段对话后有2—4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。
四年下册数学教学计划
四年下册数学教学计划教学计划是开展正常教学的准备工作，在正式上课之前，对要进行的教学任务及流程进行详细的计划，有助于工作的顺利进行和教学潜能的充分发挥。
值得注意的是，制订计划必须按学生的特点制订，不能仿制照搬的计划，只有自己去试着做，摸索出自己的完整方法，才是最有用的。
计划只是一种手段，绝不要为了列计划才去列计划，只要是能达到目的的计划才是有用的计划。
实施计划时，不要轻言放弃。
只有坚持科学合理的计划，我们教师一定能够在教书育人的同时不疏忽对自己的提升，真正做到寓教于乐。
首先，要研究教学大纲，这样才能做到心中有数；其次，要详细了解学生，只有这样在制定计划的时候才能更加准确，使实际实行时效率能更高。
最后我们一起来看看一个案例，希望能给你有所帮助：一、班级情况分析：这学期，我继续执教四年级5班和6班。
大部分学生对数学有上进心，但接受能力还有待提高，学习态度还需不断端正。
学生在学习水平上差异较大，有的学生的学习习惯差，上课经常走神，学生的自我约束的能力很差，作业不够规范，马虎、粗心现象特别突出。
很多家长的重视程度不够，在教学过程中对学生学习习惯和学习行为的教育力度不是很到位，相对来说差生面广，特别是解决问题的能力很差，这一类学生在本学期还要重点抓。
本学期要想有所进步，还有一定的难度，需要付出很大的努力。
二、本册教材内容分析：这册教材包括下面的内容：四则运算；位置与方向；运算定律与简便计算；小数的意义和性质；三角形；小数的加法和减法；统计；数学广角和数学综合运用活动等。
在数与计算方面，本教材安排了小数的意义与性质，小数的加法和减法，四则运算，运算定律与简便运算。
小数在日常生活中有着广泛的应用，有关小数概念的知识和小数四则运算能力是小学生应该掌握和形成的基础知识和基本能力。
在本学期里学生将系统地学习小数的意义和性质、小数大小的比较、小数点位置的移动引起小数大小的变化等，并在此基础上学习比较复杂的小数的加法和减法。
浙江省杭州第二中学2015-2016学年高一下学期期中考试英语试卷 含解析
杭州二中2015学年第二学期高一年级期中考英语试卷2016. 4本试卷分为第I卷（选择题）和第II卷（非选择题)两部分，共100分，考试时间90分钟.第I卷(共65分）第一部分：听力（共两节,满分15分）第一节（共5小题；每小题1分，满分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l0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。
W hat does the man advise the woman to do？A。
Collect her books. B. Throw out her books. C. Give away her books.2. When does the woman want to go to the museum？A. Right after breakfast. B。
After her mother leaves. C. Before she goes shopping.3。
What does the man actually think of Twitter？A。
Incorrect。
B。
Modern。
C. Out—of—date。
4. What is the woman trying to do?A。
Create a game. B。
Send an email。
C。
Strengthen her memory。
5。
What are the speakers talking about？A. A photo. B。
The man's brother。
C。
Th e woman’s hair.第二节(共10小题;每小题1分,满分10分）听下面4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。
杭州二中11-12学年高一上学期期末试题英语
杭州二中2011学年第一学期高一年级期末考试英语试卷 2012. 1本试卷分第I 卷（选择题）和第II 卷（非选择题）两部分，共 100分，考试时间90分钟第I 卷（共73分）第一部分： 听力（共两节，满分15分） 第一节（共5小题，每小题1分，满分5分）听下面五段对话。
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 happe ned to the man?A. The man suffered from smok ing.B. The man gave up smok ing.第二节（共10小题；每小题1分，满分10分）听下面几段对话或独白。
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 ，你将有时间阅读各个小题，每小题5秒钟；听完后，每小题将给出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至第8题。
6. What can we lear n from the con versati on?A. The woman is the man ' wife.B. The woman damaged her bike.C. The woma n is a stude nt. 7. Why is the man so an gry?A. Some of his flowers are dead.B. Some of his flowers are missi ng.C. The flower pots are broke n. 8. What was TRUE about the woma n?C. The man was to see a doctor. 2. What can we lear n from the con versati on?A. Both of the speakers liked sports very much. C. Neither of the speakers liked watch ing movies. 3. What is the woman 'attitude towards her late arrival?A. She is worried.4. What does the woma n mean?A. The man should not give up. C. The man didn 'practice hard. 5. Which stateme nt is TRUE?A. The man wants the job not very much.C. The woma n thinks the man is not well prepared. B. The man liked readi ng more tha n watch ing movies.B. She feels sorry.C. She does n'tcare.B. The man should find a new part ner.B. The man is feeli ng n ervous.C. is leaving; is taking ofD. will leave; is taking off13. Where did Susan see an advertisement later?A. In her newspaper.B. In a newspaper.14. Which statement is TRUE?A. She went to the job interview by bus.C. She would only have to work on weekdays in the new job. 15. What job did Susan get at last?A. A shop manager.B. A shop keeper第二部分 : 英语知识运用 第一节：单项填空 （共 20 小题, 每小题 0.5分，满分 10 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。
浙江省杭州第二中学1516学年度高二上学期期末考试——英语英语
浙江省杭州第二中学2015—2016学年度上学期期末考试高二英语试题第I卷（选择题部分）(共68分）第一部分：听力(共两节，满分15分)第一节（共5小题，每小题1分，满分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 will the weather be like tomorrow?A. The same as today.B. Colder than today.C. Warmer than today.2. When is the train expected to arrive now?A. At 9:30 .B. At 9:50.C. At 10:05.3. What did the man do?A. He walked out of the restaurant.B. He asked Emily her age.C. He suggested Emily was overweight.4. What is the relationship between the speakers?A. Former schoolmates.B. Former colleagues.C. Business partners.5. What does the woman mean?A. Her mother is a housewife.B. Only 10% of American mothers work.C. Most American mothers work.第二节（共1小题，每小题1分，满分10分）听下面3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。
浙江省杭州市第二中学2015-2016学年高一上学期期末考试数学试卷-Word版内含答案
杭州二中2015学年第一学期高一年级期终考试数学试卷本试卷分为第Ⅰ卷（选择题和填空题）和第Ⅱ卷（答题卷）两部分,满分100 分,考试时间 100分钟 一、选择题：本大题共10小题，每小题3分，共30分．在每小题给出的四个选项中，只有一项是符合题目要求的．1．已知集合{},A a b =，则满足{},,A B a b c ⋃=的集合B 的个数是（ ） A ．2 B ．3 C ．4 D ．92．函数()2312x f x x -⎛⎫=- ⎪⎝⎭的零点所在区间为（ ）A ．(0,1)B ．(1,2)C ．(2,3)D ．(3,4)3．已知O 为坐标原点，向量()1,3OA =,()3,1OB =-,且2AP PB =,则点P 的坐标为（ ） A ．()2,4- B ．24()33-，C ．71()33， D ．()2,4- 4．若当x R ∈时,函数()xf x a =始终满足0()1f x <≤,则函数1log ay x=的图象大致为（ ）5．已知函数()()2sin1log 3f x x ax a =-+在[)2,+∞单调递减，则实数a 的取值范围是（ ）A ．(],4-∞B ．[)4,+∞C ．[]4,4-D ．(]4,4-6．Z k ∈时，sin()cos()sin[(1)]cos[(1)]k k k k παπαπαπα-⋅+++⋅++的值为（ ）A ．－1B ．1C ．±1D ．与α取值有关7．曲线sin (0,0)y A x a A ωω=+>>在区间2[0,]πω上截直线2y =及1y =-所得的弦长相等且不为0，则下列对,A a 的描述正确的是（ ） A ．13,22a A => B ．13,22a A =≤ C ．1,1a A =≥ D ．1,1a A =≤ 8．己知函数233()(1)(log )6(log )1f x x a a x x =--++在[0,1]x ∈内恒为正值，则a 的取值范围是（ ）A ．113a -<<B ．13a <C ．a >．13a <<9．已知函数()y f x =的图像是由sin 2y x =向右平移12π得到，则下列结论正确的是（ ）A ．()()()024f f f <<B ．()()()204f f f <<C ．()()()042f f f <<D ．()()()420f f f <<10． 若[]0,απ∈，,44ππβ⎡⎤∈-⎢⎥⎣⎦，R λ∈，且3cos 202πααλ⎛⎫---= ⎪⎝⎭则cos 2αβ⎛⎫+⎪⎝⎭的值为 （ ）A ．0B ．12 C ．2D ．2二、填空题:本大题共6小题，每小题4分，共24分．11．已知幂函数()f x k x α=⋅的图象过点1(,2)2，则k α+=_______．12．已知弧长为2cm π的弧所对的圆心角为4π，则这条弧所在的扇形面积为_______2cm ． 13．已知02x π<<,sin cos 4x x π-=．若1tan tan x x +可表示成c ab π-的形式（,,a b c 为正整数），则a b c ++=_____________．14．下列命题：π；(2)函数2tan x y =的图象的对称中心是Z k k ∈),0,(π；(3)()tan sinf x x x=-在（2,2ππ－）上有3个零点；（4）若//,//a b b c,则//a c．其中错误．．的是_____________．15．在锐角ABC∆中，2AC BC==，CO xCA yCB=+（其中1x y+=），函数()||f CA CBλλ=-的||CO的最小值为___________．16．已知函数()211,0,2213,,12x xf xx x⎧⎡⎫+∈⎪⎪⎢⎪⎣⎭=⎨⎡⎤⎪∈⎢⎥⎪⎣⎦⎩，若存在12x x<，使得12()()f x f x=，则12()x f x⋅的取值范围为____________．14．___________ 15．___________ 16．___________三、解答题：本大题共4小题．共46分．解答应写出文字说明、证明过程或演算步骤． 17．（本小题满分10分）已知集合{}|3327x A x =≤≤，2{|log 1}B x x =<． （1）分别求A B ⋂，A B ⋃；（2）已知集合{}|1C x x a =<<，若A C ⊆，求实数a 的取值范围．18．（本题满分12分）已知点()()11,A x f x ,()()22,B x f x 是函数()()2sin f x x ωϕ=+(0,0)2πωϕ>-<<图象上的任意两点,且角ϕ的终边经过点(1,P ,若12()()4f x f x -=时,12x x -的最小值为3π． (1）求函数的解析式；(2) 若方程[]23()()0f x f x m -+=,求实数m 的取值范围．()f x1120．（本题满分14分）已知函数()22f x x x a =--．（1）若函数()y f x =为偶函数，求a 的值；（2）若12a =，求函数()y f x =的单调递增区间； （3）当0a >时，若对任意的[0,)x ∈+∞，不等式()()12f x f x -≤恒成立，求实数a 的取值范围．杭州二中2015学年第一学期高一年级期末考试数学答案一、选择题：本大题共10小题，每小题3分，共30分．二、填空题:本大题共6小题，每小题4分，共24分．11． 0 12． 2π 13． 5014． （1）（3）（4） 15． 16．31162⎡⎫⎪⎢⎣⎭， 三、解答题：本大题共4小题．共46分．解答应写出文字说明、证明过程或演算步骤．17．（本小题满分10分）解：（1）3327x ≤≤即13333x ≤≤，13x ∴≤≤，∴{}31≤≤=x x A ，，{}|12A B x x ∴⋂=≤<,{|03}A B x x ⋃=<≤（2）由（1）知{}31≤≤=x x A ，当A C ⊆当C 为空集时，1a ≤当C 为非空集合时，可得 31≤<a 综上所述3a ≤18．（本题满分12分） 解：（1）角的终边经过点(1,P，tan ϕ=02πϕ-<<，3πϕ∴=-．由12()()4f x f x -=时,的最小值为3π，得23T π=，即223ππω=，3ω∴=．∴()2sin(3)3f x x π=- (2()f x t =，问题等价于方程230t t m -+=在（0，2）仅有一根或有两个相等的根．∵-m = 3t 2-t ，t ∈(0, 2)． 作出曲线C ：y = 3t 2-t ，t ∈(0, 2)与直线l ：y = -m 的图象．∵t =16时，y =112-；t = 0时，y = 0；t = 2时，y = 10．∴当 -m =112-或0≤-m <10时，直线l 与曲线C 有且只有一个公共点． ∴m 的取值范围是：100m -<≤或112m =19．(本题满分10分）解：(Ⅰ)连结AG 并延长交BC 于M,则M 是BC 的中点，设==,，则)(21)(21+=+=， )(3132+== ① 又,AP AB b AQ AC c λλμμ===⋅=⋅， ②u λ-=-=∴，31)31()(31+-=-+=-=λλQ G P ,, 三点共线，故存在实数t ，使PQ t PG =，11()33b c t c t b λμλ∴-+=-ϕ||21x x -1313t t λλμ⎧-=-⎪⎪∴⎨⎪=⎪⎩，消t 得：13λλμ-=-，即 113λμ+=或者另一种解法由②式得1,b AP λ=1c AQ μ=， ③将③代入①得1133AG AP AQ λμ=+．Q G P ,, 三点共线，故11133λμ+=,即 113λμ+=．(Ⅱ) (,0,1λμ∈ 2λ==其中231=λ时，λλ312+-有最大值49，211或=λ时，λλ312+-有最小值2， 于是λμ⋅的取值范围是20．（本题满分14分）解：（1）任取x R ∈，则有()()f x f x -=恒成立，即22()2||2||x x a x x a ----=--恒成立 ||||x a x a ∴+=-恒成立，22ax ax ∴=-平方得：恒成立0a ∴=（2）当12a =时，222121()12()2||1221()2x x x f x x x x x x ⎧-+≥⎪⎪=--=⎨⎪+-<⎪⎩由函数的图像可知，函数的单调递增区间为11,,[1,)2⎛⎤-+∞ ⎥⎝⎦。
高中英语真题-2015-2016学年第一学期期末考试卷
2015－2016学年第一学期期末考试卷（完卷时间：120分钟；满分：150分）第Ⅰ卷 (共84分)第一部分：听力（共20题；每小题1分, 满分20分）第一节（共5 小题；每小题1分, 满分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. How does the man find the movie last night?A. It is moving.B. It is interesting.C. It is not worth seeing2. How much does the handkerchief cost?A. $7.B. $9.C.$16.3. Who made the woman's personal website?A. She herself.B. Her friend.C. The man.4. What does the man want to have?A. Chocolate.B. Sweets.C. Ice-cream.5. Which section would the man like to read?A. Sports.B. Business.C. News.第二节 (共15小题；每小题1分，满分15分)听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。
听完每段对话或独白前，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秒钟的做答时间。
每段对话或独白读两遍。
听第6段材料，回答第6至8题。
6. What did the man begin to work in Courtaulds?A. About 4 years ago.B. About 40 years ago.C. About 44 years ago.7. What does the man say about his present life?A. He is used to it.B. He likes it.C. He gets bored with it.8. Who is Rover?A. The man's workmate.B. The man's dog.C. The man's wife.听第7段材料，回答第9至11题。