2017-2018学年湖南省郴州市嘉禾一中、临武一中高二上学期期中联考英语试题+听力

嘉禾一中、临武一中2019届高二（上)12月联考英语本试卷分第I卷（选择题）和第II卷（非选择题)两部分。

试卷满分150分,考试时间120分钟。

第I卷（选择题100分）第一部分听力（共两节，满分30分）做题时,先将答案划在试卷上。

录音内容结束后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C 三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1。

Where are the speakers probably？A。

In an office。

B. In a lift. C. On the stairs.2. Why did the man refuse the job?A。

He dislikes having business trips。

B。

The office is far from his home。

C. The company is terrible。

3。

What will the man do in the afternoon?A. Write a reportB. Lend the woman books。

C. Help the woman fill out the forms。

4. How many students are good at basketball this year？A. About 20. B。

About 30. C. About 40。

5。

What are the speakers talking about?A. Customer service。

B. A piece of news。

C。

Their business。

第二节听下面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、7题。

2017-2018学年高二英语上学期期中试题第I卷(选择题，满分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）1. What are the speakers talking about?A. The man’s favorite festival.B. The man’s aunt.C. The man’s school bag.2. What time is it now?A. 9:40 .B. 10:00.C. 10:20 .3. What gift will the woman probably get for Mary?A. A pen.B. A music record.C. A movie ticket .4. When did the woman take a piano test?A. One week ago.B. One month ago.C. Two months ago.5. What does the man think of the game?A. Unimportant .B. Boring .C. Fai r.第二节（共15小题；每小题1.5分，满分22.5分）听第6段材料，回答第6、7题。

6. Where are the dictionaries?A. On the top shelf.B. At the bottom of the shelf.C. On the second shelf from the top.7. What does the man need?A. Books on grammar.B. Books for conversation practice.C. Books for reading practice.听第7段材料，回答第8至9题。

8. How many classes does the woman have this afternoon?A. Two.B. Three.C. Four.9. What will the man be doing at 5:00 this afternoon?A. Having a meeting.B. Having a class.C. Talki ng to his secretary.听第8段材料，回答第10至12题。

2017-2018学年高二英语上学期期中试题答卷时间：[120] 满分：[150]第I卷听力部分（共30分）第一部分：听力理解（共20小题，每小题1.5分，计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 like about the play?A. The story.B. The ending.C. The actor.2. Which place are the speakers trying to find?A. A hotel.B.A bank.C. A restaurant.3. At what time will the two speakers meet?A. 5:20.B. 5:10.C.4:40.4. What will the man do ?A. Change the plan.B. Wait for a phone call.C. Sort things out.5. What does the woman want to do ?A. See a film with the man.B. Offer the man some help.C. Listen to some great music.第二节（共15小题：每小题1.5分，满分22.5分）请听下面5段对话。

每段对话后有几个小题，从题中所给出的A、B、C三个选项种选出最佳选项，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，各小题给出5秒钟的作答时间。

每段对话读两遍。

听第6段材料，回答6、7题。

6. Where is Ben？A. In the kitchen.B. At school.C. In the park.7. What will the children in the afternoon?A. Help set the table.B. Have a party.C. Do their homework.听第7段材料，回答第8、9题8. What are the two speakers talking about?A. A Family holiday.B. A business trip.C. A travel plan.9. Where did Rachel go?A. Spain.B. Italy.C. China.听第8段材料，回答第10至12题。

2017—2018学年度第一学期期中考试高二年级英语试题本试卷分第I卷（选择题）和第II卷（非选择题）两部分，共150分。

考试时间120分钟。

第I卷第一部分听力（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 will the man do this weekend?A. Go hiking.B. Help Linda.C. Mo ve his house.2. What didn't the man lose?A. His purse.B. His car key.C. A g old necklace.3. How many people were killed?A. 3.B. 6.C. 23.4. What is the woman's neighbor like?A. Friendly.B. Polite.C. Unkind.5. How long is the library open on weekends?A. For seven hours.B. For eight hours.C. For nine hours.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道小题，从每题中所给的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。

每段对话或独白读两遍。

听下面一段对话，回答第6和第7两个小题。

6. What's wrong with the boy?A. His leg got hurt.B. His head got hurt.C. His arm got hurt.7. Who was driving the car when the accident happened?A. The boy.B. The boy's mother.C. Th e boy's father.听下面一段对话，回答第8和第9两个小题。

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。

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 do we know about the man?A. He slept late last night.B. He didn't sleep well last night.C. He didn't win the game.2. What is Tom doing?A. He is doing his homework.B. He is sleeping.C. He is helping his mother.3. What does Mike mean?A. He wants to have a rest for a few days.B. The final exams were easy.C. It's too early for him to make plans.4. What does the man mean at the end of the conversation?A. He already has a roommate.B. He dislikes having a roommate.C. He is glad to have a roommate.5. What does the woman ask the man to do?A. To buy a bottle of wine for her.B. To come to her home for supper.C. To come to her home for a meeting.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独自。

2017～2018学年第一学期高二英语期中试题第一部分听力（共两节，满分15分）第一节（共5小题；满分2.5）听下面5段对话。

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 woman suggest?A. Waiting on the corner.B. Taking a taxi.C. Calling the hotel.2.Where are the speakers?A. At home.B. In a flower shop.C. At school.3.What will the man probably do?A. Have dinner.B. Clean the table.C. Read the notebook.4.How many countries has the woman been to so far?A. Four.B. Three.C. Two.5.When does the bakery close?A. At 7:00.B. At 6:55.C. At 7:30.第二节（共15小题；满分12.5分）听下面5段对话或独白。

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,各个小题将给出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6～7小题。

6.How old is the daughter?A. Two years old.B. Three years old.C. Four years old.7.What’s the matter with the woman’s daughter?A. She is ill.B. She has a fever.C. She drank some ink.听第7段材料,回答第8～9小题。

8.What does the man want?A.A pair of brown size 4 shoes.B.A pair of black size 6 shoes.C.A pair of brown size 6 shoes.9.What kind of shoes will the man bring home?A. The shoes he has planned to buy.B.A pair of brown sho es in a different size.C.A pair of black size 6 shoes.听第8段材料,回答第10～12小题。

2017～2018学年度第一学期高二年级期中考试英语试题注意事项：答题前，先将自己的姓名、准考证号填写在试卷和答题卡上。

选择题的作答：每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑，写在试题卷、草稿纸和答题卡上的非答题区域均无效。

非选择题的作答：用签字笔直接答在答题卡上对应的答题区域内。

写在试题卷、草稿纸和答题卡上的非答题区域均无效。

考试结束后，请将答题卡上交。

第Ⅰ卷第一部分：阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30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，并在答题卡上将该项涂黑。

AThe China Daily newspaper group is looking for English-language senior copy editors, copy editors and graphic (图表) designers to strengthen its international team. We offer a competitive salary package, free accommodation（膳宿）with utilities（公用事业）paid for 90 percent medical return, a seven-day paid leave, eleven-day public holidays and a return ticket to the country of reside nce.Senior Copy EditorYou must:＊work on shifts in the Business Desk and usually have the last word before the page is sent to print;＊edit or rewrite copy and give up-to-date headlines and captions(字幕);＊have had at least two years’ editing experience working on ed iting desks and be familiar with industry software.Copy EditorYou must:＊be good at editing or rewriting copy and writing snappy headli nes and captions;＊be able to work on shifts for different pages, and usually have the last word before the page is sent to print;＊have two years of editing experience working on copy desks a nd be familiar with industry software.Graphic DesignerYou must:＊have excellent skills in information graphics;＊be good at illustrations and freehand drawings;＊be experienced in newspaper or magazine layouts;＊have a good sense of typography;＊have good news judgment;＊be familiar with Macintosh software, including InDesign, Illustr ator and Photoshop;＊be fluent in English.For enquiries, write to job@chinadaily. com. cn.1. What’s the meaning of the underlined words“ have the last word” in the third paragraph?A. Showing that the editor is forgetful.B. Showing that the editor has the right to make a decision.C. Meaning the editor is good at making a speech.D. Meaning the editor is bored with his work.2. What is not required about Graphic Designer?A. Be familiar with Photoshop.B. Have excellent skills in information graphics.C. Having a good sense of typography.D. Writing up-to-date headlines and captions.3. The author writes this passage to .A. advertise for employing some employeesB. describe the positions of the China Daily newspaper groupC. describe the working conditions of the China Daily newspa per groupD. tell you how to become good editors and designersBIn our home it was natural to fear our father. Even our mother was afraid of him. As children, my sister and I thought every f amily was like that—that every family had an unpredictable dad who was impossibl e to please and a praying mom who was there to protect the children. We were good children. Mom was always telling us w e were, even if daddy couldn’t see it.Then came the day we found something new and fun to do. We discovered we could draw pictures with chalk on our woo den front door. We could have lots of fun, so we set to work dr awing and making lots of pretty pictures all over it. We had a great time. We decided to finish our pictures, knowing Mom w ould just love them.The praise we expected did not come. We did not understand why, but we knew our parents were angry, and that we were i n big trouble！Off we ran to find a place to hide. In our wooded yard it was n ot hard for two small children to find safety. Together, we hid behind a tree and did not move. Soon we heard the frightened voices of Mom and our neighbors calling out to us. We were afraid we would be found. The sun set, and it began to get dar k, we heard another voice, one we recognized with great fear: our daddy. But there was something strangely different about it. In it we heard something we had never heard before: fear and despair. Our daddy with tears running down his face, pra yed to God for the safe return of his girls.[]Things were different after that. We had a new daddy; it was a s if the old one had been buried that day in the yard. Our whole family had been changed by one piece of chalk.4. The children drew pictures on the wooden front door in ord er to .A. improve their drawing skillsB. be praised by their moth er.C. make the door beautifulD. have fun5. Why didn’t the children come out when others were searchi ng for them?A. They were afraid of being punished.B. They wanted to make their father worry.C. They wanted to tell their parents that they were wrong.D. They wanted to stay there for the night.6. What happened while the children were hiding?A. The mother told the neighbors about it.B. The father came home early.C. The father became very angry.D. The children found it was interesting to do so.7. What can we infer from the passage?A. The father didn’t love his children.B. The father was too busy to talk with the children.C. The children weren’t afraid of their father after the incident.D. The family was afraid of the father because of his rudene ss.CHappy birthday! Do birthdays really make people happy? Of c ourse they do. Birthdays celebrate the day we were born. Bes ides, that extra candle on the cake suggests another year of g rowth and maturity—or so we hope. We all like to imagine that we’re getting wiser and not just older. Most of us enjoy seeing the miracle of grow th in others, as well. For instance, seeing our children develop and learn new things makes us feel proud. For Americans, lik e people in most cultures, growing up is a wonderful process. But growing old? That’s a different story.Growing old is not exactly pleasant for people in youth-oriented American culture. Most Americans like to look young, act young and feel young. As the old saying goes, “You’re as young as you feel.” Older people joke about how many years young they are, rather than how many years old. People in so me countries value the aged as a source of experience and wi sdom. But Americans seem to favor those that are young, or at least “young at heart”.Many older Americans find the “golden years” to be anything but golden. Economically, “senior citizens” often struggle just t o get by. Retirement at age 65 brings a sharp decrease in per sonal income. Social security benefits usually cannot make up the difference. Older people may suffer from poor nutrition, m edical care and housing. Some even experience age discrimi nation (歧视). In 1987, American sociologist Pat Moore dressed up like an older person and wandered city streets. She was often tre ated rudely—even cheated and robbed. However, dressed as a young pers on, she received much more respect.Unfortunately, the elderly population in America is increasing f ast. Why? People are living together. Fewer babies are being born. And middle-aged “baby boomers” are rapidly entering the groups of the el derly. America may soon be a place where wrinkles (皱纹) are “in”. Marketing experts are already noticing this group of consumers (消费者).8. The main ideaof the third paragraph is________.A. the golden years can make the old earn lots of moneyB. many old people in America are leading a hard lifeC. the old in America have to retire at the age of 65D. American social security benefits are not good9. From the last paragraph we know that the underlined word “in” can be replaced by________.A. seriousB. badC. disappearing slowlyD. growing fast10. From this passage we can know________.A. in America, growing up is not a wonderful processB. in America, growing up is as wonderful a process as gro wing oldC. in America, growing up is a wonderful process, while gro wing old is notD. in America, growing old is a wonderful process, while gro wing up is not11. What should be mentioned in the following paragraph?A. The public will change their attitudes towards old people.B. People will provide more services to the old in their com munities.C. Companies will soon produce more goods for old Americ ans.D. The government will pass laws to ensure the benefits of t he people.DNothing is more tiresome than being stuck in a boring class. E very second takes ages to tick by. A recent survey of America n kids revealed that 91 percent experience boredom. In fact, a dolescence is considered a peak period for the problem. One study showed that roughly one in three teenagers was bored at school.Peter Stromberg, professor at the University of Tulsa says, “O ur brains adapt really quickly to certain levels of stimulation(刺激). We get used to the media providing levels of highly emoti onal stimulation, and when we’re not getting them we feel bor ed. As our society develops various ways of keeping us entert ained, we may discover that rather than getting rid of boredo m, we’re increasing it.” Luckily, new research is implying a wa y that we can battle the trend.Professor John D. Eastwood of the University of York develop ed a new theory of boredom, which links it to the brain’s attent ion system—the part of the brain that we use to focus. Anything the attenti on system in your brain locks onto will be automatically sucke d up into your conscious awareness—it might be a bird outside the window, the pleasant smell of lunch, or even someone sleeping in the back of the class.The problem is that your attention system doesn’t like being to ld what to do. It wants to focus on stuff that you find fun and in teresting. For the parts of school that you enjoy, this isn’t a pr oblem. But for those classes that don’t interest you, or present too much or too little challenge, the story is very different. In t hose situations, you’re going to have to spend a lot of effort c onstantly redirecting your attention system to focus on things i t would rather ignore. And the effort is going to wear you out. Eastwood describes it as “wanting, but being unable, to be inv olved in a satisfying activity.”It’s like a block in the system. An d it’s the awareness of that block combined with a sense that t he environment is to blame that leads to feelings of boredom. When we’re bored we blame the world around us, but Eastwo od’s theory challenges this assumption: Boredom doesn’t exis t out there; it exists inside your brain. What that means is—hard as it may be to hear—boring lessons aren’t only the fault of your teacher or the subj ect, they’re your fault, too.12. According to Peter Stromberg, ________.A. teenagers are victims of boredomB. our brains demand much stimulationC. we’ve grown dependent on media for funD. the way we have fun makes us become bored13. According to Paragraph 4, the attention system ________.A. doesn’t like challengesB. enjoys interesting thingsC. does what you want it to doD. can make our efforts fruitle ss14. What might the author suggest about a boring class?A. Focusing more attention on it.B. Changing the way we look at it.C. Employing various teaching methods.D. Challenging the disturbing environment.15. What might be the best title for the passage?A. Escape Your BoredomB. Battle Your AttentionC. Fun or Boredom?D. Who Is to Blame?第二节（共5小题；每小题2分，满分10分）根据短文内容，从短文后的七个选项中选出能填入空白处的最佳选项。

2017-2018学年湖南省郴州市嘉禾一中、临武一中联考高二（上）期中数学试卷（文科）一．选择题（共12题，每题5分，共计60分）1．（5分）已知特称命题p：∃x∈R，2x+1≤0．则命题p的否定是（）A．∃x∈R，2x+1＞0 B．∀x∈R，2x+1＞0 C．∃x∈R，2x+1≥0 D．∀x ∈R，2x+1≥02．（5分）△ABC中，B=60°，AC=3，AB=，则=（）A．B．C．D．3．（5分）设等差数列{a n}的前n项和为S n，若2a6=6+a7，则S9的值是（）A．27 B．36 C．45 D．544．（5分）“2＜m＜6”是“方程+=1表示椭圆”的（）A．充分不必要条件 B．必要不充分条件C．充要条件D．既不必要也不充分条件5．（5分）已知等比数列{a n}中，a1+a5=2，a3+a7=6，则=（）A．B．0 C．D．6．（5分）如果log3m+log3n≥4，那么m+n的最小值是（）A．4 B．C．9 D．187．（5分）已知等差数列{a n}的前n项和为S n，a4+a7+a10=9，S14﹣S3=77，则使S n取得最小值时n的值为（）A．4 B．5 C．6 D．78．（5分）AB为过椭圆（a＞b＞0）中心的弦，F（c，0）是椭圆的右焦点，则△ABF面积的最大值是（）A．bc B．ac C．ab D．b29．（5分）若正数x，y满足x+3y=5xy，则3x+4y的最小值是（）A．B．C．5 D．610．（5分）已知双曲线﹣=1（a＞b，b＞0）的离心率为，则椭圆+=1的离心率为（）A．B．C．D．11．（5分）有下列四个命题①“若b=3，则b2=9”的逆命题；②“全等三角形的面积相等”的否命题；③“若c≤1，则x2+2x+c=0有实根”；④“若A∪B=A，则A⊆B”的逆否命题．其中真命题的个数是（）A．1 B．2 C．3 D．412．（5分）若点O和点F分别为椭圆的中心和左焦点，点P为椭圆上的任意一点，则的最大值为（）A．2 B．3 C．6 D．8二．填空题（共4题，每题5分，共计20分）13．（5分）抛物线y=4x2的焦点到准线的距离为．14．（5分）若变量x，y 满足条件，则z=x+y得最大值为．15．（5分）在△ABC中，已知2a=b+c，sin2A=sinBsinC，则△ABC的形状为．16．（5分）已知数列{a n}满足，定义：使乘积a1•a2•…•a k为正整数的k（k∈N*）叫做“简易数”，则在[1，2017]内所有的“简易数”的和为．三、解答题（第17题10分，其余每道各题12分，共70分）17．（10分）已知在△ABC中，内角A，B，C所对边的边长分别是a，b，c，若a，b，c满足a2+c2﹣b2=．（1）求角B；（2）若b=2，c=2，求△ABC的面积．18．（12分）已知，命题p：∀x∈R，x2+ax+2≥0，命题q：∃x∈[﹣3，﹣]，x2﹣ax+1=0．（1）若命题p为真命题，求实数a的取值范围；（2）若命题q为真命题，求实数a的取值范围；（3）若命题“p∨q”为真命题，且命题“p∧q”为假命题，求实数a的取值范围．19．（12分）已知双曲线C：=1（a＞0，b＞0）的离心率为，实轴长为2．（1）求双曲线C的方程；（2）若直线y=x+m被双曲线C截得的弦长为4，求实数m的值．20．（12分）某工厂某种产品的年固定成本为250万元，每生产x千件，需另投入成本为C（x），当年产量不足80千件时，C（x）=（万元）．当年产量不小于80千件时，C（x）=51x+（万元）．每件商品售价为0.05万元．通过市场分析，该厂生产的商品能全部售完．（Ⅰ）写出年利润L（x）（万元）关于年产量x（千件）的函数解析式；（Ⅱ）年产量为多少千件时，该厂在这一商品的生产中所获利润最大？21．（12分）已知数列{a n}的前n项和S n=4n，数列{b n}满足b1=﹣3，b n+1=b n+（2n ﹣3）（n∈N*）．（1）求数列{a n}的通项公式；（2）求数列{b n}的通项公式；（3）若c n=，求数列{c n}的前n项和T n．22．（12分）已知椭圆C：的离心率为，短轴的一个端点到右焦点的距离为．（1）求椭圆C的方程；（2）设直线l与椭圆C交于A、B两点，坐标原点O到直线l的距离为，求△AOB面积的最大值，并求此时直线l的方程．2017-2018学年湖南省郴州市嘉禾一中、临武一中联考高二（上）期中数学试卷（文科）参考答案与试题解析一．选择题（共12题，每题5分，共计60分）1．（5分）已知特称命题p：∃x∈R，2x+1≤0．则命题p的否定是（）A．∃x∈R，2x+1＞0 B．∀x∈R，2x+1＞0 C．∃x∈R，2x+1≥0 D．∀x ∈R，2x+1≥0【解答】解：根据题意，p：∃x∈R，2x+1≤0，是特称命题；结合特称命题是全称命题，其否定是∀x∈R，2x+1＞0；故选：B．2．（5分）△ABC中，B=60°，AC=3，AB=，则=（）A．B．C．D．【解答】解：∵B=60°，AC=3，AB=，∴由正弦定理，可得：sinC===．故选：A．3．（5分）设等差数列{a n}的前n项和为S n，若2a6=6+a7，则S9的值是（）A．27 B．36 C．45 D．54【解答】解：在等差数列{a n}中，∵2a6=a5+a7，又由已知2a6=6+a7，得a5=6，∴S9=9a5=54．故选：D．4．（5分）“2＜m＜6”是“方程+=1表示椭圆”的（）A．充分不必要条件 B．必要不充分条件C．充要条件D．既不必要也不充分条件【解答】解：若+=1表示椭圆，则，即，即2＜m＜6且m≠4，则“2＜m＜6”是“方程+=1表示椭圆”的必要不充分条件，故选：B．5．（5分）已知等比数列{a n}中，a1+a5=2，a3+a7=6，则=（）A．B．0 C．D．【解答】解：设等比数列{a n}的公比为q，∵a1+a5=2，a3+a7=6，∴（a5+a9），解得a5+a9==18．则====0．故选：B．6．（5分）如果log3m+log3n≥4，那么m+n的最小值是（）A．4 B．C．9 D．18【解答】解：∵m，n＞0，log3m+log3n≥4，∴mn≥34=81．∴m+n=18，当且仅当m=n=9时取等号．∴m+n的最小值是18．故选：D．7．（5分）已知等差数列{a n}的前n项和为S n，a4+a7+a10=9，S14﹣S3=77，则使S n取得最小值时n的值为（）A．4 B．5 C．6 D．7【解答】解：等差数列{a n}中，∵a4+a7+a10=9，S14﹣S3=77，∴，解得a1=﹣9，d=2．∴=n2﹣10n=（n﹣5）2﹣25，∴当n=5时，S n取得最小值．故选：B．8．（5分）AB为过椭圆（a＞b＞0）中心的弦，F（c，0）是椭圆的右焦点，则△ABF面积的最大值是（）A．bc B．ac C．ab D．b2【解答】解：△ABF面积等于△AOF 和△BOF 的面积之和，设A到x轴的距离为h，由AB为过椭圆中心的弦，则B到x轴的距离也为h，∴△AOF 和△BOF 的面积相等，故：△ABF面积等于×c×2h=ch，又h的最大值为b，∴△ABF面积的最大值是bc，故选：A．9．（5分）若正数x，y满足x+3y=5xy，则3x+4y的最小值是（）A．B．C．5 D．6【解答】解：∵正数x，y满足x+3y=5xy，∴=1∴3x+4y=（）（3x+4y）=+++≥+2=5当且仅当=时取等号∴3x+4y≥5即3x+4y的最小值是5故选：C．10．（5分）已知双曲线﹣=1（a＞b，b＞0）的离心率为，则椭圆+=1的离心率为（）A．B．C．D．【解答】解：在双曲线中c2=a2+b2，∵双曲线的离心率为，∴==，即4a2+4b2=5a2，即a2=4b2，则c2=a2﹣b2=4b2﹣b2=3b2，则e2===，即e=，故椭圆的离心率是，故选：C．11．（5分）有下列四个命题①“若b=3，则b2=9”的逆命题；②“全等三角形的面积相等”的否命题；③“若c≤1，则x2+2x+c=0有实根”；④“若A∪B=A，则A⊆B”的逆否命题．其中真命题的个数是（）A．1 B．2 C．3 D．4【解答】解：①“若b=3，则b2=9”的逆命题是“若b2=9，则b=3”，显然错的；②“全等三角形的面积相等”的否命题是“不全等的三角形，其面积不相等”，比如同底等高的三角形，面积相等，故②错；③方程x2+2x+c=0的判别式为△=4﹣4c，若c≤1，则△≥0，故③对；④若A∪B=A，则B⊆A，则命题“若A∪B=A，则A⊆B”为假命题，由逆否命题的等价性可知其逆否命题也为假命题．故选：A．12．（5分）若点O和点F分别为椭圆的中心和左焦点，点P为椭圆上的任意一点，则的最大值为（）A．2 B．3 C．6 D．8【解答】解：由题意，F（﹣1，0），设点P（x0，y0），则有，解得，因为，，所以=，此二次函数对应的抛物线的对称轴为x0=﹣2，因为﹣2≤x0≤2，所以当x0=2时，取得最大值，故选：C．二．填空题（共4题，每题5分，共计20分）13．（5分）抛物线y=4x2的焦点到准线的距离为．【解答】解：抛物线y=4x2 即x2=y，∴p=，即焦点到准线的距离等于，故答案为．14．（5分）若变量x，y 满足条件，则z=x+y得最大值为．【解答】解：满足约束条件的平面区域如下图所示：由图分析，当x=，y=时，z=x+y取最大值，故答案为．15．（5分）在△ABC中，已知2a=b+c，sin2A=sinBsinC，则△ABC的形状为等边三角形．【解答】解：由正弦定理化简sin2A=sinBsinC，得到a2=bc，又2a=b+c，即a=，∴a2==bc，即（b+c）2=4bc，∴（b﹣c）2=0，即b=c，∴2a=b+c=b+b=2b，即a=b，∴a=b=c，则△ABC为等边三角形．故答案为：等边三角形16．（5分）已知数列{a n}满足，定义：使乘积a1•a2•…•a k为正整数的k（k∈N*）叫做“简易数”，则在[1，2017]内所有的“简易数”的和为2036．【解答】解：∵a n=log n（n+1），（n≥2，n∈N*），∴a1•a2•a3…•a k=log2（k+1），又∵a1•a2•a3…•a k为整数，∴k+1必须是2的n次幂（n∈N*），即k=2n﹣1．∴k∈[1，2017]内所有的“简易数”的和：M=（21﹣1）+（22﹣1）+（23﹣1）+（24﹣1）+…+（210﹣1）=﹣10=2036，故答案为：2036三、解答题（第17题10分，其余每道各题12分，共70分）17．（10分）已知在△ABC中，内角A，B，C所对边的边长分别是a，b，c，若a，b，c满足a2+c2﹣b2=．（1）求角B；（2）若b=2，c=2，求△ABC的面积．【解答】解：（1）在△ABC中，内角A，B，C所对边的边长分别是a，b，c，若a，b，c满足a2+c2﹣b2=．则：，解得：（2）根据（1），由于b=2，c=2所以利用余弦定理得：，解得：a=2或4．所以：①当a=2时，②当a=4时，18．（12分）已知，命题p：∀x∈R，x2+ax+2≥0，命题q：∃x∈[﹣3，﹣]，x2﹣ax+1=0．（1）若命题p为真命题，求实数a的取值范围；（2）若命题q为真命题，求实数a的取值范围；（3）若命题“p∨q”为真命题，且命题“p∧q”为假命题，求实数a的取值范围．【解答】解：（1）若命题p：：∀x∈R，x2+ax+2≥0，为真命题，则方程x2+ax+2=0的判别式△=a2﹣8≤0，…（2分）所以实数a的取值范围为；…（4分）（2）若命题q为真命题，x2﹣ax+1=0，因为，所以x≠0，所以…（6分）因为，所以，当且仅当x=﹣1时取等号，…（8分）又在[﹣3，﹣1]上单调增，上单调减，，f（﹣）=﹣，所以f（x）值域为[﹣，﹣2]，所以实数a的取值范围[﹣，﹣2]…（10分）（3）命题“p∨q”为真命题，则a∈[﹣2，2]∪[﹣，﹣2]=[﹣，2]；…（12分）命题“p∧q”为真命题，则，…（14分）所以命题B﹣FC1﹣C为假命题，则，所以若命题为真命题，命题B﹣FC1﹣C为假命题，则=所以实数a的取值范围…（16分）．19．（12分）已知双曲线C：=1（a＞0，b＞0）的离心率为，实轴长为2．（1）求双曲线C的方程；（2）若直线y=x+m被双曲线C截得的弦长为4，求实数m的值．【解答】解：（1）∵双曲线C：=1（a＞0，b＞0）的离心率为，实轴长为2．∴由题意，得，解得a=1，c=，b=2，∴所求双曲线C的方程为．…（5分）（2）联立，得x2﹣2mx﹣m2﹣2=0，∵直线y=x+m被双曲线C截得的弦长为4，∴△=4m2+4m2+8＞0，设直线与双曲线交于A（x1，y1），B（x2，y2），则，由弦长公式得，解得m=±1．…（12分）20．（12分）某工厂某种产品的年固定成本为250万元，每生产x千件，需另投入成本为C（x），当年产量不足80千件时，C（x）=（万元）．当年产量不小于80千件时，C（x）=51x+（万元）．每件商品售价为0.05万元．通过市场分析，该厂生产的商品能全部售完．（Ⅰ）写出年利润L（x）（万元）关于年产量x（千件）的函数解析式；（Ⅱ）年产量为多少千件时，该厂在这一商品的生产中所获利润最大？【解答】解：（Ⅰ）∵每件商品售价为0.05万元，∴x千件商品销售额为0.05×1000x万元，①当0＜x＜80时，根据年利润=销售收入﹣成本，∴L（x）=（0.05×1000x）﹣﹣10x﹣250=﹣+40x﹣250；②当x≥80时，根据年利润=销售收入﹣成本，∴L（x）=（0.05×1000x）﹣51x﹣+1450﹣250=1200﹣（x+）．综合①②可得，L（x）=．（Ⅱ）由（Ⅰ）可知，，①当0＜x＜80时，L（x）=﹣+40x﹣250=﹣，∴当x=60时，L（x）取得最大值L（60）=950万元；②当x≥80时，L（x）=1200﹣（x+）≤1200﹣2=1200﹣200=1000，当且仅当x=，即x=100时，L（x）取得最大值L（100）=1000万元．综合①②，由于950＜1000，∴当产量为100千件时，该厂在这一商品中所获利润最大，最大利润为1000万元．21．（12分）已知数列{a n}的前n项和S n=4n，数列{b n}满足b1=﹣3，b n+1=b n+（2n ﹣3）（n∈N*）．（1）求数列{a n}的通项公式；（2）求数列{b n}的通项公式；（3）若c n=，求数列{c n}的前n项和T n．【解答】解：（1）∵S n=4n，∴S n﹣1=4n﹣1（n≥2），∴a n=S n﹣S n﹣1=4n﹣4n﹣1=3×4n﹣1（n≥2）．当n=1时，3×41﹣1=3≠S1=a1=4，∴；（2）∵b n=b n+（2n﹣3），+1∴b2﹣b1=﹣1，b3﹣b2=1，b4﹣b3=3，…，b n﹣b n﹣1=2n﹣5（n≥2）．以上各式相加得：b n﹣b1=﹣1+1+3+5+…+（2n﹣5）=（n﹣1）（n﹣3）（n≥2）．∵b 1=﹣3，∴b n=n2﹣4n（n≥2）．又上式对于n=1也成立，∴b n=n2﹣4n（n∈N*）；（3）由题意得当n=1时，c n=﹣12，当n≥2时，c n=3（n﹣4）×4n﹣1．①当n=1时，T n=﹣12，②当n≥2时，T n=﹣12+3×（﹣2）×41+3×（﹣1）×42+3×1×43+…+3（2n﹣3）×4n﹣1，∴4T n=﹣48+3×（﹣2）×42+3×（﹣1）×43+3×1×44+…+3（2n﹣3）×4n．相减得﹣3T n=12+3×42+3×43+…+3×4n﹣1﹣3（2n﹣3）×4n．∴T n=（n﹣4）×4n﹣（4+42+43+…+4n﹣1）=[4+（3n﹣13）×4n]．又上式对于n=1也成立，∴T n=[4+（3n﹣13）×4n]．22．（12分）已知椭圆C：的离心率为，短轴的一个端点到右焦点的距离为．（1）求椭圆C的方程；（2）设直线l与椭圆C交于A、B两点，坐标原点O到直线l的距离为，求△AOB面积的最大值，并求此时直线l的方程．【解答】解：（1）由题意可得：，a=，解得c=，∴b2=a2﹣c2=1．∴椭圆C的方程为=1．（2）当l⊥x轴时，直线l的方程为：x=，代入椭圆方程可得y=，此==．时S△AOB当直线l与x轴不垂直时，设直线l的方程为y=kx+m．则=，化为：4m2=3（1+k2）．联立，化为：（1+3k2）x2+6kmx+3m2﹣3=0，△＞0化为：1+3k2＞m2．∴x1+x2=，x1x2=．∴|AB|===，=|AB|•=×=，∴S△AOB令k2=t≥0，f（t）===+1，当t=0时，f（0）=1，∴S=；△AOB当t＞0时，f（t）=+1≤+1=，当且仅当t=，即k=时取等号，此时∴S=．△AOB综上可得：△AOB面积的最大值为，由k=时，可得4m2=3×=4，解得m=±1．此时直线l的方程为：y=x±1．赠送初中数学几何模型【模型五】垂直弦模型：图形特征：运用举例：1.已知A、B、C、D是⊙O上的四个点.(1)如图1，若∠ADC＝∠BCD＝90°，AD＝CD，求证AC⊥BD；(2)如图2，若AC⊥BD，垂足为E，AB＝2，DC＝4，求⊙O的半径.O DAB CEAOD CB2.如图，已知四边形ABCD内接于⊙O，对角线AC⊥BD于P，设⊙O的半径是2。

2017-2018学年上学期高二英语期中考试卷第二部分阅读理解（共两节，满分40分）第一节 (共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的四个选项(A、B、C和D )中,选出最佳选项，并在答题卡上将该项涂黑。

AIn a nation with a one-child policy it’s understandablefor parents to worry over whether they are petting their children. Are the children as truly weak as expected?The concern has been broughtinto a hit reality TV series —Hunan TV’s Dad!Where Are We Going? and Zhejiang TV’s First Time In Life. In both children as young as three have become new public figures(人物). In the show First Time In Life，children chosen from ordinary families are given small tasks t o finish by themselves；the ongoing Dad show centers on five fathers and their childr en who are forced to live a sim ple life in poor villages far outs ide their comfortable city life. Though they have different fa mily backgrounds how they be have in the new environments has drawn the attention of the public.In Dad! Where Are We Going? the five-year-old daughter of former Olympi c diving champion Tian Liang cries and hides behind her fat her when they arrive at a rural village. In First Time In Life a y oung girl in Tianjin cries after being asked by her father to go out alone to buy eggs and a p ancake.In the eyes of some people th ese kids always depend on ot hers and the reason is that the ir parents give them too much love. But television viewers an d parents were encouraged w hen the crying Tianjin girl finall y returned holding the pancak e and Tian’s daughter finally b egan to take care of her young er friends and learned to ask f or help from people she didn’t know.The father of the Tianjin girl fel t “delightfully shocked” and sai d. “She used tobe well taken care of by her m other or grandmother. Now sh e has the courage to do it all b y herself. ”The shows have led many par ents to change how they raise their children. Shanghai mothe r Liang Jing said she would try to “give some training” to her shy son asking him to tidy up his toys. Lin Yi a parenting exp ert in Beijing said giving kids a chance to do things for thems elves helps to raise their sens e of success which carries ben efits all through their lives. ”21. What draws the people’s a ttention in the programs?A. How the children behave in the new environments.B. Where the children are from .C. What the kids’ family backg round is like .D. How old the children are.22. What is Tian Liang’s daug hter expected to do in the show?A. Go out to buy something al one.B. Live in a poor village with h er father.C. Make friends with strange p eople.D. Hide in a safe place out of danger.23. It can be known from the u nderlined words “delightfully s hocked” that ___.A. father is more important tha n mother in a familyB. children should be given a c hance to depend on themselv es.C. parents should give the chil d a safe environmentD. the children are as weak as parents expected24.The shows are bound to raise a wave of discussion that _______A. protecting good tradition B. the social societyC. approaches to parentingD. the influence of TV programmesBCassandra Feeley finds it hard to manage on her husband's i ncome.So this year she did something more than a hobby(业余爱好):She planted vegetables in her yard.For her first garden,Ms .Feeley has put in 15 tomato plants,and five rows of a variety of vegetables.The family's old farm house has become a chic ken house,its residents arriving next st year, Ms.Rita Gartin kept a small garden.This year she has made it much l arger because,she said,"The cost of everything is going up and I was looking to lose a few pounds,too；so it's a winwin situation all around."They are among the growing number of Americans who,dri ven by higher living costs and a falling economy(经济),have taken up vegetable gardening for the first time.Other s have increased the size of their existing gardens.Seed com panies and garden shops say that not since the 1970s has th ere been such an increase in interest in growing food at home .Now many gardens across the country have been sold out fo r several months.In Austin,Tex.,some of the gardens have a t hree year waiting list.George C．Ball Jr.,owner of a company,said sales of veget able seeds and plants are up by 40%over last year,double the average growth of the last five years.Mr.Ball argues that som e of the reasons have been building for the last few years.The big one is the striking rise in the cost of food like bread and m ilk, together with the increases in the price of fruits and vegeta bles.Food prices have increased because of higher oil prices. People are now driving less,taking fewervacations,so there is more time to garden.25．What does the word "residents" in Paragraph 1 probably refer to?A．chickens B．tomatoes C．gardens D．people26. By saying "a winwin situation all around",Ms.Gartin means that________.A．she is happier and her garden biggerB．she may spend less and lose weightC．she is selling more and buying lessD．she has grown more varieties of vegetables27.Why is vegetable gardening becoming increasingly popula r?A．More Americans are doing it for fun.B．The price of oil is lower than before.C．There's a growing need for fruits.D．The cost of living is on the rise.CWhile astronauts in space get to do many exciting things, they miss out on ordinary things that we all take for granted—being able to walk on firm ground, hanging out with family and digging into a slice of hot steaming pizza. Though not much c an be done about the first two things, there may soon be a sol ution to the third one, thanks to this cool 3-D pizza printer! About a year ago, NASA offered $125 ,000 to Anjan Contract or, a 3-D technology expert, to build a device (设备) that would allow astronauts to make pizza on demand. The mechanical engineer promised that his invention would prod uce pies in large quantities that looked, tasted and even smell ed like pizza made in common ovens.Late last year, the engineer presented a video of his first proto type (原型) that begins by creating a single slice of dough (面团) that is cooked and printed at the same time. Then comes t he tomato “sauce”— a mix of tomato powder, oil and water a nd finally, a protein slice that resembles cheese. While the vid eo doesn’t show the baking process, the inventor says that on ce the pizza is printed, it can be ready to be consumed in 7 se conds.While the pie in the video looks delicious enough to attract an y pizza lover, Anjan Contractor is far from ready for astronaut s. That’s because he still has to find a solution to make the fo od container in the printer last for 30 years. Though that may sound unrealistic, actually it is not.Anjan Contractor believes that the only way that is possible is that the water is removed from all the ingredients (配料) and then they are reduced to the powder form. This, as yo u can imagine, will not be so easy. But, while the printer may not be ready for space, it certainly looks ready enough for peo ple on earth. Hopefully, NASA and Contractor will consider sel ling it to those not fortunate enough to go to Mars!28. Why does the author mention the things that astronauts in space cannot do?A. To ask us not to take common things for granted.B. To show they live a difficult life there.C. To show their life is boring in space.D. To introduce the topic of the text.29.NASA offered $ 125, 000 to Anjan Contractor mainly to ___ ____.A. create some new type of 3-D printerB. attract more companies to work for NASAC. help astronauts in space enjoy fresh pizza one dayD. produce pizza in large quantities to earn great profits30.The biggest challenge that Anjan Contractor is faced with now is probably that _______.A. he has no money left to go on with his researchB. the pizza doesn’t seem appetizing to pizza loversC. he has no way to make pizza that can last for thirty yearsD. he cannot make the food container last for decades31. What’s the best title of the passage?A. NASA is trying its best to help astronauts eat betterB. Astronauts may soon be able to enjoy steaming hot pizzaC. NASA is working on making pizza for common peopleD. A 3-D pizza printer has been used to make pizzaDYou know how wonderful you are, and you know that others k now how wonderful you are, but what do you do when admirat ion crosses over the line into jealousy (嫉妒)? For most teens there will come a day when you realize th at one of your friends is jealous and that this jealousy is hurtin g your friendship. When this happens it can seem like there is nothing that you can do, but the good news is that there is. D on't let jealousy spoil your friendship. Deal with it confidently a nd you might be back to normal much sooner than you think. It can be hard to walk up to a friend and ask them what the pr oblem is, but if you want to save your friendship you'll have to do just that. Don't approach them and ask why they are jealou s of you unless of course you want to appear totally conceited (逞能的), just take some time alone with them and let them know th at you've been feeling like there's been something coming bet ween you. If they refuse to respond, then use the opportunitie s to explain how you have been feeling. Chances are that so mething you say will strike a nerve and your friend will open u p as well.When you figure out what is annoying your friend, ask him or her what (s)he thinks would make the situation better. If, for e xample, (s)he says that (s)he feels like (s)he doesn't get to sp end any time with you because of your being off with your ne w friends from the swim team then maybe you could invite hi m or her along the next time or block off one day a week for ju st the two of you. Remember, though, that whatever solution y ou decide on should be a compromise. Don't limit your own tal ents or opportunities simply because your friend is unhappy. Try instead to include him or her in your new life and see how that works out.Even the best of friendships can be ruined by jealousy. This d estructive emotion is rarely productive and can turn best frien ds into worst enemies. Before taking extreme action, chat with your jealous friend to see if the two of you can work out a co mpromise. If you can't, be prepared to know exactly how far y ou will go to keep your friend and how far you won't.32.According to the author, the jealousy emotion is ________.A.normalB.productiveC.destructiveD.ext reme33.What does the author intend to tell us in paragraph 2?A.How to solve the problem of jealousy.B.Why we need to solve the problem of jealousy.C.How to explain your jealousy to your friends.D.Why it is hard to deal with the problem of jealousy.34.What can be inferred from the last two paragraphs?A.There's always a solution to solve the problem of jealousy.B.Jealousy can turn best friends into worst enemies.C.You may lose a friend to keep your own gifts, chances or se lf development.D.You should go a long way with your friend to work out a sol ution.35.This passage is mainly intended for ________.A.female readersB.studentsC.teenagersD.b est friends阅读第二节（共5小题:每小题2分, 满分10分）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。

2017-2018学年高二英语上学期期中试题第Ⅰ卷第一部分听力（共两节满分30分）第一节听下面5段对话。

每段对话后面有一个小题，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 is the man doing?A. Giving a gift.B. Buying chocolates.C. Making chocola tes.2. Where is the woman's father now?A. At home.B. In a hospital.C. At the office.3. What is the most probable relationship between the speake rs?A. Couple.B. Neighbors.C. Colleagues.4. Why is the baby crying according to the man?A. He is hungry.B. He is ill.C. He is alone.5. What are the speakers talking about?A. An accident.B. A flight.C. A pilot.第二节听下面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。

请听第6段材料，回答第6、7题。

6. When should Tom be back?A. At 7:30.B. At 7:00.C. At 6:30.7. How did Tom go to school today?A. By bus.B. By motorcycle.C. By bike.请听第7段材料，回答第8、9题。