湖南省三湘名校教育联盟2020届高三英语第一次大联考试题

三湘名校教育联盟? 2020届高三第一次大联考

英语

本试卷共8页。全卷满分150分，考试时间120分钟。

注意事项：

1.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。

2.回答选择题时，选出每小题答案后，用铅笔把答题卡对应题目的答案涂黑，如需改动，用橡皮擦干净后，再选涂其它答案标号。冋答非选择题时，将答案写在答题卡上。写在本试卷上无效。

3.考试结束后，将本试题和答题卡一并交回。

第一部分听力（共两节，满分30分）

做题时，先将答案标在试卷上，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（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. Where will the man go tomorrow?

A. To the stadium.

B. To Australia.

C. To the railway station.

2. What are the speakers mainly talking about?

A. E-books,

B. The Internet,

C. A bookstore,

3. What is the woman’s fovourite sport?

A. Tennis.

B. Badminton.

C. Basketball.

4. What has the man bought for the woman?

A. A plant.

B. CD.

C. Flowers.

5. When will the game begin?

A. At 8：00.

B. At 8：30.

C. At 9：00.

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’s probably the woman?

A. A secretary.

B. A waitress.

C. A teacher.

7. What will the woman bring the man next?

A. An ice tea.

B. A cup of coffee.

C. Some food.

听第7段材料，冋答第8至10题。

8. Which subway goes to the museum?

A. The northbound subway.

B. The southbound subway.

C. The eastbound subway.

9. Where did the woman come from?

A. Her office.

B. The hotel.

C. Her home.

10. How will the woman go to the main terminal?

A. By bus.

B. By car.

C. On foot.

听第8段材料，冋答第11至13题。

11. Where did Sam leave the dictionary?

A. At home.

B. At school.

C. On the bus.

12. What does the man probably think of Sam?

A. Careless.

B. Careful.

C. Generous.

13. What will the woman do this afternoon?

A. Go downtown.

B. Play tennis.

C. Buy a dictionary.

听第9段材料，回答第14至16题。

14. What does the woman think of the movie?

A. Boring.

B. Amusing.

C. Disappointing.

15. What have the speakers decided to do right now?

A. Have some coffee.

B. Get something to eat.

C. Buy their tickets.

16. Where will the speakers go before seeing the movie?

A. To the restaurant.

B. To the supermarket.

C. To the coffee shop. 听第10段材料，回答第17至20题。

17. What was Susan doing when the speaker found her room?

A. Cleaning the room.

B. Making her bed.

C. Reading in bed.

18.Where did Susan come from most probably?

A. The south.

B. The north.

C. The east.

19.How did Susan look with her white shirt and black trousers?

A. Pretty.

B. Smart.

C. Funny.

20.What did the speaker decide to do at last?

A. Stay away from Susan.

B. Make friends with Susan.

C. Teach Susan a lesson.

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。

A

There are no bad authors for children. Children like and want to read and seek out, because every child is different. They can find the stories they need, and they bring themselves to stories. Here are some books children should read.

The Little Prince , by Antoine de Saint-Exupery

This book tells the story of a stranded (陷入困境的）airplane pilot，who meets an otherworldly little prince in the Sahara desert. The little prince is a

fascinating characterf and the author’s watercolor illustrations are beautiful. There is an excellent pop-up(立体的)book version.

At the Sack of the North Wind，by George MacDonald

George MacDonald has written several other lovely children’s books—The Princess and the Goblin is a must-read. But this book is perhaps his sweetest.

A little boy named Diamond meets the mysterious lady North Wind one stormy night, and she brings him on many adventures through the night sky. Carry On，Mr. Bowditch, by Jean Lee Latham

This excellent book explores the world of sea travel and colonial England through its main character 9 Nat Bowditcli. Nat has to give up dreams of Harvard to become an indentured (受契约约束的)servant. Nonetheless? he teaches himself advanced mathematics，and grows up to become captain of his own ship.

The Phantom Tollbooth，by Norman Juster

Its protagonist (主角），Milo，is a bored little boy who discovers a “phantom tollbooth”—and with it，an imaginative world in which numbers，words，music，and sounds come to life. He is given the “ impossible ” mission of returning two princesses to the Kingdom of Wisdom. In the process, he has learned valuable lessons, finding a love of learning.

21. Which of the following books has beautiful pictures in it?

A. The Little Prince

B. At the Back of the North Wind

C. Carry 0n，iVf厂.Hovuditch

D. The Phantom Tollbooth

22. In Jean Lee Latham’s book, Nat Bowditch .

A. doesn’t want to go to university

B. gives up his dream of being a captain

C. learns advanced mathematics by himself

D. wants to teach mathematics in Harvard

28. What does the book The Phantom "Tollbooth focus on?

A.Adventures through the night sky.

B. Learning in a fun way.

C.Exploration of the ocean world.

D. Romantic stories in the desert.

B

Postmen are all too used to keeping an eye out for the threat of dogs. But in a seaside town in North Wales，they have been forced to take cover from an unexpected threat seagulls. They have complained that the birds have become so terrifying that deliveries to some streets have been suspended. Yesterday residents of Abergele agreed the seagulls were fearless but said they were angry at losing their daily post.

Roberts, who works as a safety adviser，lives where the attacks have taken place. “Last week，we noticed we hadn’t got any mail for what we thought was a week，but it’s hard to tell because you don’t always know if you’re due any mail，”she said. “We put something on Facebook asking if anyone else had not had their post. . . One of my Facebook friends said a postman had refused to deliver because of the seagulls. ”

Royal Mail said that deliveries had been interrupted because of the postman experiencing attacks by seagulls as he delivered mail on his round there over the past few weeks?adding that the postman got people’s mail through whenever it was safe.

“We know that these kinds of attacks do happen at this time of year across the country as they are nesting，’’she said. Royal Mail apologized to the customers affected and promised to continue to monitor the situation every day，but in the meantime some are having to travel to neighbouring Rhyl to collect mail from the delivery office there. But he recommends preventing gulls nesting on roofs in advance by putting up nets, and if all else fails, walking with an umbrella up during worst-affected areas.

24. What does the underlined word “suspended”most probably mean?

A. Increased.

B. Paused.

C. Printed.

D. Decreased.

25. The residents of Abergele are not happy because .

A. the seagulls are so terrifying

B. the dogs are so threatening

C. they don't receive their post on time

D.the seagulls are stealing their post

26. Why did Debbie Roberts put something on Facebook?

A. To know if anyone else had the same experience.

B. To offer advice to deal with the seagulls.

C. To avoid being attacked by seagulls.

D.To answer questions about safety,

27. What’s the main idea of t he passage?

A. Seagulls like to steal residents’ post.

B. Postmen’s safety is threatened by seagulls.

C. Residents of Abergele are afraid of seagulls.

D. Daily post is delayed because of seagulls’ attack.

C

The sun was setting and the farm would be closing. I dressed our three daughters quickly as my husband started the van. Cutting down our own Christmas tree had been a family tradition. As our family grew，so did our excitement for going out to find the perfect tree.

As we walked through the rows of trees，my youngest daughter Kimberly shouted excitedly，“There it is，the perfect tree!”The other two agreed. My husband and 1 looked at each other puzzled. We were surprised the girls thought that straggly (凌乱的）little tree was perfect. Its branches were misshappen(崎形的）and the trunk was visible through the spots where there were no pine

needles.

We tried to persuade our daughters into changing their minds, but in vain. We had to tie the sad little tree to the roof of our van and headed home. As we reached our house ? Heather jumped out first. Suddenly she shouted，“ The tree isn’t there!”We thought she was kidding. However，it wasn’t there.

The girls were so disappointed. “We’ll get another tree tomorrow，”I said, secretly hoping the new tree would be prettier. But the girls gave us the look that no parent can resist. We had no choice but to go back and find that tree.

About five minutes into our drive, we saw it on the side of the road. As we got closer, we found it had been run over by a truck. As we lifted the tree ，we saw that a big part was ripped off，but we took it home anyway.

That night，as we decorated our tree,something magical happened. We didn’t realize it at the time but we were making a very special family memory. By the time we were done，I had to admit，it didn’t look sad after all. “This is the best tree we ever had. It’s perfect!，’my second daughter Samantha said excitedly. My husband and I couldn’t have agreed more!

Now we always recall that little broken tree! Year by year，we tell the story of that very special Christmas almost twenty-five years ago.

28. Who was the first to find the tree was missing?

A. The youngest daughter.

B. The second daughter.

C.The oldest daughter.

D. The author’s husband.

29. How did the author feel when hearing the tree was missing?

A. Pleased.

B. Depressed.

C. Disappointed.

D.Worried.

30. What do we know about the family from the passage?

A. They took turns telling stories at Christmas.

B. They spent a whole night decorating the tree.

C. They all felt satisfied with the tree at first sight.

D. They turned the tree into an unforgettable one.

31. Which is the best title of this text?

A. A Perfect Christmas Day

B. The Sad Little Tree

C. A Magical Christmas Tale

D. Our Family Tradition at Christmas

D

Not only does the use of plastic water bottles

hurt your wallet,it also increases pollution and

wastes energy and water.Only 23 % of all plastic in

America ends up in a recycling bin， meaning over $ 1

billion worth of plastic is treated as rubbish a year. Recently, Skipping Rocks Lab has invented a kind of water bottle called Ooho.

It is a convenient, clear water bottle that can either be drunken or eaten. To drink it, you can either peel off the membrane(薄膜）or tear a hole in the membrane with your teeth to pour the water into your mouth. To eat it，you simply put the whole bottle in your mouth. One problem the scientists have run into is how to ship large amounts of Ooho bubbles(水泡）without arriving with a very wet truck. However，they have attempted to package units of individual bubbles together inside a larger and thicker membrane. It is targeting large outdoor events? such as marathons? music festivals，and sporting events， where tons of plastic bottles are used，and frequently left behind as litter. And too much plastic is sure to do harm to the environment，which could account for their purpose of such a new invention.

The team has been working for the past two years to develop the technology and materials needed to produce Ooho ； they have recently applied a patent

for their new advancements. The price for an individual bubble or a unit of bubbles has not been set yet, but they cost about two cents to create a unit, which is cheaper than plastic bottles* It has appeared at events in London, San Francisco , Boston, at conferences, festivals，and so on.

Ooho is catching many people’s attention and has raised over $ 1 million and gained 1，000 investors in only three days. It is mostly being sold at events at th e moment to keep the consumer’s interest while the production machine is getting up and running. It is quickly making a rise,so keep an eye out this year for these bottles of the future.

32. How is most plastic dealt with in America?

A.It’s sold.

B. It’s r ecycled.

C. It’s buried.

D. It’s

wasted.

33. Why did the team invent Ooho?

A.To make a profit for a company.

B.To protect the environtnent.

C.To make people eat as they drink.

D.To reduce the cost of plastic bottle.

34.What can we infer about Ooho from the text?

A. It is easy and safe to ship it in large amounts.

B. It has become popular since it began to be sold.

C. It might be sold at a lower price than plastic bottles.

D. It cost the team a lot of money to develop the technology.

35. What does the author really want to say in the last paragraph?

A. Ooho is to be a success in the future.

B. Ooho is being supported by smart people.

C. Ooho is taking the place of plastic bottles now.

D. Ooho is being produced to attract more investors,

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。选项中有两项为多余选项。

Many people feel out of place when dining simply because they don’t know how to follow table manners，especially if they have been invited to a nice place. Admittedly，it is difficult to learn every point of etiquette (礼仪）at a glance, but here are a few general pointers. 36

Observe your host.

Follow their lead. 37 If you are the host，don’t panic. Ensure you read up on etiquette before taking on the role of hosting and operate within the rules so that you are easy to follow.

Wait for host to invite you to the table.

She may assign you to a seat. Stand behind the chair as the other guests get seated* 38 After you sit, pull your chair in to the table，without dragging it over the floor with a horrible noise.

Be polite.

Consider every action before you do it. 39 You must consciously stop from embarrassing yourself and your host. Take small bites； do not talk with food in your mouth； and do not place elbows on the table.

How to pass items.

When someone says，“Please pass th e. . . (what you would like passed to you)，”reach for it only if you are the closest one to it. Take the item and place it next to your neighbor. 40 Don’t help yourself along the way，before the person who asked for it gets the chance. Wait politely until they have served themselves. Then ask for the bowl to be passed back to you.

A. When the host sits,take your seat.

B. Wait for your host to finish the meal first.

C. If you have I he slightest doubt，don’t do it!

D. Remember，good manners never go out of style.

E. Continue passing in this manner until it reaches others.

F. Because the host generally is the leader at a dinner party or meal.

G. It’s important to say traditional phrases of thanks before and after a meal.

第三部分英语知识运用（共两节，满分45分）

第一节完形填空（共20小题；每小题1.5分，满分30分）

阅读下列短文，从短文后各题所给的四个选项（A、B、C和D)中，选出可以填入空白处的最佳选项。

Ever since I was a boy T have loved and collected Native American stories. Their wisdom and love of nature have always 41 me. The one that I keep in mind，though，is the story of the two 42.

One night a wise elder man sat his 43 44 that goes on inside of all people. He said ?

around a campfire and told him about the My child，the battle is 45 two ‘wolves f that live inside us all. One is fear, anger, hatred? self-pity, and unhappiness.46 is love, laugh ter, joy ? hope? peace? kindness , and happiness.” The grandson47 this for a long time and then asked his grandfather which wolf would win, The elder 48 said，“The one you really

49.”

I think that most of the problems worldwide 50 from the fact that far too many of us often feed the 51 wolf. We let our fears 52 us. We react with anger. We hate We allow our jealousy and judgment to 54 our Lives. We from 53 those who do so many things to create unhappiness in our hearts when all we really want is to be 55 .

We don’t have to feed the wrong wolf， 56 . We can choose love and joy. We can smile and sing. We can 57 our thoughts with happiness and kindness. We

can 58 them with everyone，everywhere.

Which wolf are you going to feed today? Which life are you going to 59 ? Fear and love are the two greatest 60 in this world. Yet，only one can bring you joy and bring you back to God.

41. A. depressed B.frightened C. disappointed D. impressed

42. A. wolves B.hearts C. people D. emotions

43. A. son B.friend C. grandson D. brother

44. A. battle B.struggle C.spirit D. story

45. A. within B.among C. for D. between

46. A. The others B.The other C. Other D. Another

47. A. agreed on B.called on C. reflected on D. checked oi

48. A. sadly B.angrily C. possibly D. simply

49. A. feed B.challenge C. believe D. defeat

50. A. benefit https://www.wendangku.net/doc/2d15210859.html,e C.take D. suffer

51. A. fierce B.real C. gentle D. wrong

52. A. hold B.help C.lead D. frighten

53. A. different B.far C.free D. absent

54. A. continue B.rule C. begin D. cheer

55. A. calm B.safe C.happy D.busy

56. A. whatever B.however C. still D. thus

57. A. improve B.shape C. change D. fill

58. A. share B.support C. supply D. spend

59. A. describe B.stay C.live D. survive

60. A. figures B.forces C.problems D. chances

第三部分英语知识运用（共两节，满分45分）

第二节（共10小题；每小题1.5分，满分15分}

阅读下面材料，在空白处填入适当的内容（1个单词）或括号内单词的正确形式。

During an interview, Professor Hawking warned that AI(人工智能) will soon reach a level 61. it will be a “new form of life that will perform 62. (well) than humans.” Professor Hawking even went so far as to say that AT may replace humans altogether,63. he didn’t state exactly a timeline for his forecast. He said: “I fear that AI may replace humans altogether. If people design computer viruses，someone will design AT that improves and copies 64. (it). This will be a new form of life that outperforms humans. ”

During 65. interview,Professor Hawking also urged more people to take an inteest in science.66. (say)that there would be “serious consequence”if this didn't happen.He said that a new space programme should 67. (develop), adding human may have to turn to other suitable planets for habitation 68. (eventual).He said: “I believe we have reached the point of no return. Our Earth is becoming too small for us,global population is increasing at a 69. (surprise) rate and we are in danger of self-destructing. ”

This isn't the first time that Hawking 70. (express) fears about the rise of AI. In October last year, he warned that artificial intelligence could develop a will of its own that is in conflict with that of humanity.

第四部分写作（共两节，满分35分）

第一节短文改错（共10小题；每小题1分，满分10分）

假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。文中共有10处语言错误，每句中最多有两处。每处错误仅涉及一个单词的增加、删除或修改。

增加：在缺词处加一个漏字符号（∧)，并在其下面写出该加的词。

删除：把多余的词用斜线（\)划掉。

修改：在错的词下画一横线，并在该词下面写出修改后的词。

注意：1.每处错误及其修改均仅限一词；

2.只允许修改10处，多者（从第11处起）不计分。

Last Sunday, my family went for walk in a nearby park. We wanted to breathe the fresh air and having fun there. However? when going out，we find it was cloudy and smoggy. Only a few people were walking quick on the streets wearing their masks. I was wondering why the matter was when my little brother began to cough loudly. Suddenly I realized that it was air pollution. So we had to go to home that day. Smoke from cars, buses, and factories make the air dirty，that is harmful to our health. I think they all should do some thing to keep the air clean.

第二节书面表达（满分25分）

假如你是李华，最近，你校学生会准备举办一场主题为“国学经典”的读书交流会。你得知美国交换生Bob对此很感兴趣。现请你代表学生会给他写一封英文邮件，介绍并邀请他参加。邮件包括以下内容：

1.时间：星期四下午3:00;

2.地点：报告厅（lecture hall)；

3.内容：阅读经典名著，交流读书体会等。

注意:1.词数100左右，可以适当增加细节，以使行文连贯；

2.文章开头和结尾已给出，不计入总词数。

Dear Bob,

I’m glad that you're interested in the reading seminar to be held in our school.

Yours,

Li Hua

湖南省三湘教育联盟2018-2019学年高二下学期期末考试语文试题

三湘名校教育联盟?2019年上学期高二期末考试 语文 命题:天壹名校联盟命题组审题:长沙市明德中学黄金萍 本试卷共8页。全卷满分150分，考试时间150分钟。 注意事项： 1.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。 2.回答选择题时，选出每小题答案后，用铅笔把答题卡对应题目的答案标号涂黑。如需改动，用橡皮擦干净后，再选涂其他答案标号。回答非选择题时，将答案写在答题卡上。写在本试卷上无效。 3.考试结朿后，将本试卷和答题卡一并交回。 一、现代文阅读（36分） (一）论述类文本阅读（本题共3小题，9分） 阅读下面的文字，完成1?3题。 在美国文化和图书分类中，虚构文学与非虚构文学是两种主要的类型，虚构文学主要指小说" 戏剧、诗歌等，非虚构文学则是纪实文学、散文、传记、调查报告等。1966年美国新闻记者杜鲁门?卡波特《冷血》被视为非虚构文学的发端，作品凭借对新闻背后故事的深入发掘，参与到美国社会60年代的自我反思、批判之中。 回到中国语境，非虚构写作的流行大致有两个脉络，一个集中在文学领域，出现了一批如《中国在梁庄》《大地上的亲人》等作品；二是集中在新闻领域，借助移动互联网平台，非虚构式的新闻报道如《太平洋大逃杀亲历者自述》《少年杀母事件》《了不起的茅侃侃》等成为“10万+ ”

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6．已知α 为锐角，sin 33πα?? += ??? ，则cos α=（ ） A ． 62 - B ． 62 + C ． 12 D 12 - 7．已知ABC △的内角,,A B C 所对的边分别为,,a b c ，若tan tan 1tan tan B C B C +=-?，且2bc =，则 ABC △的面积为（ ） A ． B C ． 4 D ． 2 8．新课程改革把劳动与技术课程作为7~9年级每个学生必须接受的课程，并写人新课程标准.某校7年级有5个班，根据学校实际，每个班每周安排一节劳动与技术课，并且只能安排在周一、周三、周五下午的三节课，同年级不同班不能安排在同一节，则七年级周五下午排了3个班的劳动与技术课程的概率是（ ） A ．3256 5 9 A A A B ．32565 9 C A A C ．32565 9 C C C D ．32565 9 C C A 二、多项选择题 9．关于二项式6 22x x ? ?- ?? ?的展开式，下列结论错误的是（ ） A ．展开式所有的系数和为1 B ．展开式二项式的系数和为32 C ．展开式中不含3 x 项 D ．常数项为120 10．古希腊数学家阿波罗尼奧斯（约公元前262~公元前190年）的著作《圆锥曲线论》是古代世界光辉的科学成果，著作中有这样一个命题：平面内与两定点距离的比为常数k （0k >且1k ≠）的点的轨迹是圆，后人将这个圆称为阿波罗尼斯圆.已知()0,0O ，()3,0A ，圆C ：()()2 2220x y r r -+=>上有且仅有一 个点P 满足2PA PO =，则r 的取值可以为（ ） A ．1 B ．2 C ．3 D ．5 11．已知函数()()()cos 0,0f x x ω?ω?π=+><<的部分图象与y 轴交于点? ?? ，与x 轴的一个交点为()1,0，如图所示，则下列说法正确的是（ ）

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A ．(1, B ．()1,2 C ．()1,2- D ．1,? ?? 6．已知α 为锐角，sin 3πα?? += ???，则cos α=（ ） A B + C ． 12- D 12 7．已知ABC 的内角,,A B C 所对的边分别为,,a b c ，若 tan tan 1tan tan B C B C +=-?，且2bc =，则ABC 的面积为（ ） A ． B C D 8．新课程改革把劳动与技术课程作为7~9年级每个学生必须接受的课程，并写人新课程标准.某校7年级有5个班，根据学校实际，每个班每周安排一节劳动与技术课，并且只能安排在周一?周三?周五下午的三节课，同年级不同班不能安排在同一节，则七年级周五下午排了3个班的劳动与技术课程的概率是（ ） A ．3256 5 9 A A A B ．32565 9 C A A C ．32565 9C C C D ．32565 9 C C A 9．关于二项式6 22x x ? ?- ?? ?的展开式，下列结论错误的是（ ） A ．展开式所有的系数和为1 B ．展开式二项式的系数和为32 C ．展开式中不含3x 项 D ．常数项为120 10．古希腊数学家阿波罗尼奧斯(约公元前262~公元前190年)的著作《圆锥曲线论》是古代世界光辉的科学成果，著作中有这样一个命题：平面内与两定点距离的比为常数k (0k >且1k ≠)的点的轨迹是圆，后人将这个圆称为阿波罗尼斯圆.已知()0,0O ， ()3,0A ，圆C ：()()222 20y x r r +=->上有且仅有一个点P 满足2PA PO =，则 r 的取值可以为（ ） A ．1 B ．2 C ．3 D ．5 11．已知函数()()()cos 0,0f x x ω?ω?π=+><<的部分图象与y 轴交于点 0,2?? ? ??? ，与x 轴的一个交点为()1,0，如图所示，则下列说法正确的是（ ）

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2019-2020学年 湖南省三湘名校教育联盟 高一上学期期中数学试题(解析版)

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本题考查分段函数求值，属于基础题. 3．已知函数23x y a -=+(0 a >且 1)a ≠的图像恒过定点P ，点P 在幂函数()y f x =的图像上，则31log 3f ?? = ??? （ ） A ．2- B ．1- C ．1 D ．2 【答案】A 【解析】根据指数型函数过定点求得P 点坐标，设出幂函数()f x 的解析式，代入点P 的坐标求得()f x 的解析式，由此求得31log 3f ?? ??? 的值. 【详解】 对于函数23x y a -=+，当20x -=，即2x =时，4y =，所以()2,4P .由于()f x 为幂函数，设()f x x α =，代入P 点的坐标得24,2αα==.所以()2 f x x =， 2 111339f ????== ? ????? ，所以23331log log 31log 329f -=??= ? ?=-?. 故选：A 【点睛】 本小题主要考查指数型函数过定点问题，考查幂函数解析式的求法，考查对数运算，属于基础题. 4．函数()2ln x f x x = 的图像大致为（ ） A ． B ． C ． D ． 【答案】D 【解析】根据函数()f x 的奇偶性和特殊值排除选项即得.

湖南省三湘名校教育联盟2019届高三第一次大联考数学(理)试卷(含答案)

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A.充分不必要条件 B. 必要不充分条件 C. 充要条件 D.既不充分也不必要条件 6.如图，网格纸上小正方形的边长为1，粗实线画出的是某几何体的三视图，则该几何体的体积为 A.8 B.16 C.24 D.48 7.设 2ln 21,)1(43,310221 =-==?-c dx x b a ,则 A. ab>0)的一个焦点F 向其一条渐近线引垂线，垂足为E ，0为坐标原点，若△O EF 的面积为1，其外接圆面积为4 5π，则C 的离心率为 A. 2 5 B.3 C.2 D. 5 10.设α>0，β>0,将函数x x f sin )(=的图像向左平移α个单位长度得到图像C 1，将函数

湖南省三湘名校教育联盟2020-2021学年高一上学期期中英语试题

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2018-2019学年湖南省三湘名校教育联盟上学期高二期中考试数学(理)试题(解析版)

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【解析】由已知结合向量数量积的性质可求，代入即可求解． 【详解】 解：，均为单位向量，且， ， ， 则， 故选：B． 【点睛】 本题主要考查了平面向量数量积的性质的简单应用，属于基础试题． 4．已知等差数列的前n项和为，，则 A．3 B．6 C．9 D．12 【答案】B 【解析】分析：把已知与求值式全部用首项和公差表示， 详解：由题意，∴， ∴． 故选B． 点睛：等差数列与等比数列中基本量法是最基本最重要的方法，必须掌握，解等差数列和等比数列的问题大多数情况下都可用基本法求解，即用首项和公差（比）表示出已知条件，如能求出首项和公差（比）就求出，否则得出它们的关系式，再把待求式也用首项和公差（比）表示后就可求得结论． 5．已知E、F分别为椭圆的左、右焦点，倾斜角为的直线l过点E，且与 椭圆交于A，B两点，则的周长为 A．10 B．12 C．16 D．20 【答案】D 【解析】利用椭圆的定义即可得到结果．

湖南省三湘名校教育联盟2020-2021学年高二上学期期中考试数学试题含答案

三湘名校教育联盟·2020年下学期高二期中考试试题 数 学 2020.11.10 一 单项选择题（每小题5分） 1 命题：“()13log ,2>+∈?x Z x ”的否定为_____ A ()13log ,020≤+∈?x Z x B ()13log ,020>+∈?x Z x C ()13log ,2≤+∈?x Z x D ()13log ,2≥+∈?x Z x 2 在△ABC 中,6 ,1,3π = ==B AC AB ，则_____=A A 3 6 π π 或 B 3 2 π π 或 C 332ππ或 D 2 6π π或 3 集合{} 11≤≤-=x x A ,若“B x ∈”是“A x ∈”的充分不必要条件,则B 可以是 A {}11≤≤-x x B {}11<<-x x C {}20<

6 设0228, 0,02>-++>>m m x y y x y x 恒成立,则实数m 的取值范围为______ A.(][)+∞?-∞-,24, B.()2,4- C. (][)+∞?-∞-,42, D.()4,2- 7 南宋数学家杨辉《详解九张算法》和《算法通变本末》中,提出垛积公式,所讨论的高阶等差数列与一般等差数列不同,前后两项之差不相等,但是逐项差数之差或者高次成等差数列。 在杨辉之后一般称为“块积术”.现有高阶等差数列,其前7项分别1, 7, 15, 27, 45, 71,107,则该数列的第8项为_______ A.161 B. 155 C.141 D. 139 8 已知抛物线x y 42 =的焦点为F ，过F 的直线l 与抛物线交于B A ,两点(点A 在第一象限),抛物线的准线与x 轴交于点K ,当 AF AK 最大时,直线AK 的斜率______ A. 1 B. 2 C.3 D. 22 二、多项选择题（每小题5分，不全选得3分） 9 已知函数()wx wx x f cos sin +=的最小正周期为π,则下列判断正确的有_____ A 将函数x y 2sin 2=图像向左平移 4 π 个单位得到函数()x f 的图像 B 函数()x f 在区间??? ? ? ?85,8ππ单调递减 C 函数()x f 的图像关于点?? ? ??- 0,8π对称