2018高考英语全国卷1试题及答案-word精校版word版本

2018高考英语全国卷1试题及答案-word精校版word版本
2018高考英语全国卷1试题及答案-word精校版word版本

2018年高考英语全国卷1试题及答案

第一部分听力(共两节,满分30)

做题时,先将答案标在试卷上。录音内容结朿后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。

笫一节(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。毎段对话仅读一遍。

例: How much is the shirt? A. £19.15. B.£9.18. C. £9.15.

1. What will James do tomorrow?

A. Watch a TV program.

B. Give a talk.

C. Write a report.

2. What can we say about the woman?

A. She’s generous.

B. She's curious.

C. She's helpful.

3. When does the train leave?

A. At 6:30.

B. At 8:30.

C. At 10:30.

4. How does the woman go to work?

A. By car.

B. On foot.

C. By bike.

5. What is the probable relationship between the speakers?

A. Classmates.

B. Teacher and student.

C. Doctor and patient.

第二节(共15小题:每小題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,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段材枓,回答第6、7题。

What does the woman regret?

A. Giving up her research.

B. Dropping out of college.

C. Changing her major.

7. What is the woman interested in studying now? A. Ecology. B. Education.

听第7段材料,回答第8、9题。

8. What is the man?

A. A hotel manager.

B. A tour guide.

C. A taxi driver

9. What is the man doing for the woman?

A. Looking for some

B. Showing her around the Seaside.

C. Offering information about a hotel.

听第8段材枓,问答第10至12题。

10. Where docs the conversation probably take place?

A. In an office.

B. Ai home.

C. At a restaurant.

11. What will the speakers do tomorrow evening?

A. Go to a concert.

B. Visit a friend.

C. Work extra hours.

12. Who is Alice going to call?

A. Mike.

B. Joan.

C. Catherine.

听第9段材料,回答第13至16題。

13. Why does the woman meet the man?

A. To look at an apartment.

B. To deliver some furniture.

C. To have a meal together.

14. What does the woman like about the carpet?

A. Its color.

B. Its design.

C. Its quality.

15. What does the man say about the kitchen?

A. It's a good size.

B. It's newly painted.

C. It‘s adequately equipped.

16. What will the woman probably do next?

A. Go downtown.

B. Talk with her friend.

C. Make payment.

听第10段材料,回答第17至20 题。

17. Who is the speaker probably talking to?

A. Movie fans.

B. News reporters.

C. College students.

18. Where does the speaker take English classes?

A. Before he left his hometown.

B. After he came to America.

C. When he was 15 years old.

19. How docs the speaker feel about his teacher?

A. He's proud.

B. He's sympathetic.

C. He’s grateful.

20. What does the speaker main talk about?

A. How education shaped his life.

B. How his language skills improved.

C. How he managed his business well.

第二部分阅读理解(共两节,满分40分)

第一节(共15小題:每小题2分,满分36分)

阅读下列短文,从所给的A. B. C和D四个选项中,选出最佳选项.

A

Washington, D.C. Bicycle Tours

Cherry Blossom Bike Tour in Washington, D.C.

Duration: 3 hours

This small group bike tour is a fantastic way to see the world-famous cherry trees with beautiful flowers of Washington, D.C. Your guide will provide a history lesson about the trees and the famous monuments where they blossom. Reserve your spot before availability - and the cherry blossoms - disappear!

Washington Capita! Monuments Bicycle Tour Duration: 3 hours (4 miles)

Join a guided bike tour and view some of the most popular monuments in Washington, D.C. Explore the monuments and memorials on the National Mall as your guide shares unique facts and history at each stop. Guided tour includes bike, helmet, cookies and bottled water.

Capital City Bike Tour in Washington, D.C.

Duration: 3 hours

Morning or Afternoon, this bike tour is the perfect tour for D.C. newcomers and locals looking to experience Washington, D.C. in a healthy way with minimum effort. Knowledgeable guides will entertain you with the most interesting stories about Presidents. Congress, memorials, and parks. Comfortable bikes and a smooth lour route {路线} make cycling between the sites fun and relaxing.

Washington Capital Sites at Night Bicycle Tour

Duration: 3 hours (7 miles)

Join a small group bike lour for an evening of exploration in the heart of Washington, D.C. Get up close to (he monuments and memorials as you bike the sites of Capitol Hill and the National Mall.

Frequent slops are made for photo taking as your guide offers unique (acts and history. Tour includes bike, helmet, and bottled water. All riders are equipped with reflective vests and safety lights.

21. Which tour do you need to book in advance?

A. Cherry Blossom Bike Tour in Washington, D.C.

B. Washington Capital Monuments Bicycle Tour.

C. Capital City Bike Tour in Washington.

D.C.

D. Washington Capital Sites at Night Bicycle Tour.

22. What will you do on the Capital City Bike Tour?

A. Meet famous people.

B. Go to a national park.

C. Visit well-known museums.

D. enjoy interesting stories.

23. Which of the following does the bicycle tour at night provide?

A. City maps.

B. Cameras.

C. Meals.

D. Safety lights.

B

Good Morning Britain's Susanna Reid is used to grilling guests on the sofa every morning, but she is cooking up a storm in her latest role - showing families how to prepare delicious and nutritious meals on a tight budget.

In Save Money: Good Food, she visits a different home each week and with the help of chef Matt Tebbutt offers lop tips on how to reduce food waste, while preparing recipes for under £5 per family a day. And the Good Morning Britain presenter says she’s bee n able to put a lot of what she's learnt into practice in her own home, preparing meals for sons, Sam,14,Finn, 13,and Jack, 11.

“We love Mexican churros, so I buy them on my phone from my local Mexican takeaway restaurant,,,she explains. “I pay £5 for a portion (―份),but Matt makes them for 26p a portion, because they arc flour, water, sugar and oil. Everybody can buy takeaway food; but sometimes

we're not aware how cheaply we can make this food ourselves.”

The eight-part series (系列节目), Save Money: Good Foods follows in the footsteps of ITV's Save Monty: Good Health, which gave viewers advice on how to gel value from the vast range of health products on the market.

With food our biggest weekly household expense, Susanna and Malt spend time with a different family eac h week. In tonight’s Easter special they come to the aid of a family in need of some delicious inspiration on a budget. The team transforms the family's long weekend of celebration with less expensive but still tasty recipes.

24. What do we know about Susanna Reid?

A. She enjoys embarrassing her guests.

B. She has started a new programme.

C. She dislikes working early in the morning.

D. She has had a tight budget for her family.

25. How docs Matt Tebbutt help Susanna?

A. He buys cooking materials for her.

B. He prepares food for her kids.

C. He assists her in cooking matters.

D. He invites guest families for her.

26. What does the author intend to do in paragraph 4?

A. Summarize the previous paragraph.

B. Provide some advice for the readers.

C. Add some background information.

D. Introduce a new topic for discussion.

27. What can be a suitable title for the text?

A. Keeping Fit by Eating Smart

B. Balancing Our Daily Diet

C. Making Yourself a Perfect Chef

D. Cooking Well for Less

C

Languages have been coining and going for thousands of years, but in recent times there has been less coming and a lot more going. When the world was still populated by hunter-gatherers, small, tightly knit {联系)groups developed their own patterns of speech independent of each other. Some language experts believe that 10,000 years ago, when the world had just five to ten million people, they spoke perhaps 12,000 languages between them.

Soon afterwards,many of those people started settling down to become farmers, and their languages too became more settled and fewer in number. In recent centuries, trade, industrialization, the development of the nation-state and the spread of universal compulsory education, especially globalization and better communications in the past few decades, all have caused many languages to disappear, and dominant languages such as English. Spanish and Chinese arc increasingly taking over.

At present, the world has about 6,800 languages. The distribution of these languages is hugely uneven. The general rule is that mild zones have relatively few languages, often spoken by many people, while hot, wet zones have lots, often spoken by small numbers. Europe has only around 200 languages; the Americas about 1.000; Africa 2,400: and Asia and the Pacific perhaps 3,200, of which Papua New Guinea alone accounts for well over 800. The median number (中位数} of speakers is a mere 6.000, which means that half the world's languages are spoken by fewer people than that.

Already well over 400 of the total of 6,800 languages arc close to extinction (消亡),with only a few elderly speakers left. Pick, at random, Busuu in Cameroon (eight remaining speakers), Chiapaneco in Mexico (150), Lipan Apache in (he United States (two or three) or Wadjigu in Australia (one. with a question-mark): none of these seems to have nuich chance of survival.

28. What can we infer about languages in hunter-gatherer times?

A. They developed very fast.

B. They were large in number.

C. They had similar patterns.

D. They were closely connected.

29. Which of the following best explains “dominant”underlined in paragraph 2?

A. Complex.

B. Advanced.

C. Powerful.

D. Modem.

30. How many languages arc spoken by less than 6,000 people a( present?

A. About 6,800.

B. About 3,400.

C. About 2,400.

D. About 1,200.

31. What is the main idea of the text?

A. New languages will be created.

B. People's lifestyles arc reflected in languages.

C. Human development results in fewer languages.

D. Geography determines language evolution.

D

We may think we're a culture that gets rid of our worn technology at the first sight of something shiny and new. but a new study shows that we keep using our old devices (装置) well after they go out of style. That's bad news for the environment —and our wallets - as these outdated devices consume much more energy than the newer ones that do the same things.

To figure out how much power these devices are using. Callie Babbitt and her colleagues at the Rochester Institute of Technology in New York tracked the environmental costs for each product throughout its life 一from when its minerals are mined to when we stop using the device. This method provided a readout for how home energy use has evolved since the early 1990s.

Devices were grouped by generation. Desktop computers, basic mobile phones, and box-set TVs defined 1992. Digital cameras arrived on the scene in 1997. And MP3 players, smart phones, and LCD TVs entered homes in 2002, before tablets and e-readers showed up in 2007.

As we accumulated more devices, however, we didn't throw out our old ones. “The living-room television is replaced and gets planted in the kids’ room, and suddenly one day, you have a TV in every room of the house,” said one researcher. The average number of electronic devices rose from four per household in 1992 to 13 in 2007. We’r e not just keeping these old devices --- we continue to use them. According to the analysis of Babbitt's team, old desktop monitors and box TVs with cathode ray tubes are the worst devices with their energy consumption and contribution to greenhouse gas emissions (排放) more than doubling during the 1992 to 2007 window.

So what's the solution (解决方案)?The team’s data only went up to 2007, but the researchers also explored what would happen if consumers replaced old products with electronics that serve more than one function, such as a tablet for word processing and TV viewing. They found that more on-demand entertainment viewing on tablets instead of TVs and desktop computers could cut energy consumption by 44%.

32. What does the author think of new devices?

A. They are environment-friendly.

B. They are no better than the old.

C. They cost more to use at home.

D. They go out of style quickly.

33. Why did Babbitt’s team conduct the research?

A. To reduce the cost of minerals.

B. To test the life cycle of a product.

C. To update consumers on new technology.

D. To find out electricity consumption of the devices.

34. Which of the following uses the least energy?

A. The box-set TV.

B. The tablet.

C. The LCD TV.

D. The desktop computer.

35. What does the text suggest people do about old electronic devices?

A. Stop using them.

B. Take them apart.

C. Upgrade them.

D. Recycle them.

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。

Color is fundamental in home design - something you’ll always have in every room. A grasp of how to manage color in your spaces is one of the first steps, to creating rooms you’ll love to

live in. Do you want a room that's full of life? Professional? Or are you just looking for a place to relax after a long day? _____ 36 ____, color is the key to making a room feel the way you want it to feel.

Over the years, there have been a number of different techniques to help designers approach this important point. ___37___, they can get a little complex. But good news is that there're really only three kinds of decisions you need to make about color in your home: the small ones, the medium ones,and the large ones.

___38___ They're the little spots of color like throw pillows, mirrors and baskets that most of us use to add visual interest to our rooms. Less tiring than painting your walls:and less expensive than buying a colorful sofa, small color choices bring with them the significant benefit of being easily changeable.

Medium color choices arc generally furniture pieces such as sofas, dinner tables or bookshelves. ___39____. They require a bigger commitment than smaller ones, and they have a more powerful effect on the feeling of a space.

The large color decisions in your rooms concern the walls, ceilings, and floors. Whether you're looking at wallpaper or paint, the time, effort and relative expense put into it are significant.

___40___.

A. While all of them are useful

B. Whatever you’re looking for

C. If you're experimenting with a color

D. Small color choices are the ones we're most familiar with

E. It's not really a good idea to use too many small color pieces

F. So it pays to be sure, because you want to get it right the first time

G. Color choices in this range are a step up from the small ones in two major ways

第三部分语言知识运用(共两节,满分45分)

第一节(共20小题:每小题1.5分,满分30分) 阅读下面短文.从短文后各题所给的A、B、C、D四个选项中,选出可以填入空白处的最佳选项。

During my second year at the city college, I was told that the education department was offering a “free” course, c alled Thinking Chess, for three credits. I ___41__ the idea of taking the class because, after all. who doesn't want to __42 __ a few dollars? More than that, I’d always wanted to learn chess. And, even if I weren’t __43__ enough about free credits, news about our __44__ was appealing enough to me. He was an international grandmaster, which __45__ I would be learning from one of the game’s __46__. I could hardly wait to __47__ him.

Maurice Ashley was kind and smart, a former graduate returning to teach, and this __48__ was no game for him; he meant business. In his introduction, he made it __ 49__ that our credits would be hard-earned. In order to __50__ the class, among other criteria, we had to write a paper on how we plan to __51__ what we would learn in class to our future professions and, __52__, to our lives.

I managed to get an A in that __53__ and learned life lessons that have served me well beyond the __54__

Ten years after my chess class with Ashley. I’m still putting to use what he __55__ me: “The absolute most important __56__ that you learn when you play chess is how to make good __57__ . On every single move you have to __58__ a situation, process what your opponent (对手) is doing and __59__ the best move from among all your options.” These words still ring true today in my __60__ as a journalist.

41. A. put forward B. jumped at C. tired out D. turned down

42. A. waste B. earn C. save D. pay

43. A. excited B. worried C. moved D. tired

44. A. title B. competitor C. textbook D. instructor

45.A. urged B. demanded C. held D. meant

46.A. fastest B. easiest C. best D. rarest

47.A. interview B. meet C. challenge D. beat

48.A. chance B. qualification C. honor D. job

49.A. real B. perfect C. clear D. possible

50.A. attend B. pass C. skip D. observe

51.A. add B. expose C. apply D. compare

52. A. eventually B. naturally C. directly D. normally

53. A. game B. presentation C. course D. experiment

54. A. criterion B. classroom C. department D. situation

55. A. taught B. wrote C. questioned D. promised

56. A. fact B. step C. manner D. skill

57. A. grades B. decisions C. impressions D. comments

58. A. analyze B. describe C. rebuild D. control

59. A. announce B. signal C. block D. evaluate

60. A. role B. desire C. concem D. behavior

第二节(共10小题:毎小题1.5分,满分15分)

阅读下面短文,在空白处填入1个适当的单词或括号内单词的正确形式。

According to a review of evidence in a medical journal, runners live three years ______ (long) than non-ninncrs. You don’t have to run fast or for long 62 to _______ (see) the benefit. You may drink, smoke, be overweight and still reduce your risk of 63 _______ (die) early by running.

While running regularly can't make you live forever, the review says it 64______ (be) more effective at lengthening life 65 _____ walking, cycling or swimming. Two of the authors of the review also made a study published in 2014 66 _______ showed a mere five to 10 minutes a day of running reduced the risk of heart disease and early deaths from all 67 ________ (cause).

The best exercise is one that you enjoy and will do. Bui otherwise .... it's probably running. To avoid knee pain, you can run on soft surfaces, do exercises to 68 _________(strength) your leg muscles (肌肉avoid hills and get good running shoes. Running is cheap, easy and it's always 69 _________ (energy). If you are time poor, you need run for only half the time to get the same benefits as other sports, so perhaps we should all give 70______ a try.

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,每句最多有两处。每处错误仅涉及一个单词的增加、刪除或修增加:在缺词处加字符号(∧),并在其下面写出该加的词。

刪除:把多余的词用斜线(\)划掉。

修改:错的词下划一横线,并在该词下面写出修改后的词。注总: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。

During my last winter holiday, I went to countryside with my father to visit

my grandparents. I find a big change there. The first time I went there, they were

living in a small house with dogs, ducks, and another animals. Last winter when

I went here again, they had a big separate house to raise dozens of chicken. They also

had a small pond A which they raised fish. My grandpa said last summer they earned

quite a lot by sell the fish. I felt happily that their life had improved. At the end of

our trip, I told my father that I planned lo return for every two years, but he agreed.

第二节书面表达(满分25分)

假定你是李华,你的新西兰朋友Terry将去中国朋友家做客,发邮件向你询问友关习俗。请你回复邮件,内容包括:

1.到达时间:

2.合适的礼物:

3.餐桌礼仪。

注意:

1.词数100左右;

2.可以适当增加细节,以使行文连贯。

答案

1-5 BCCBA 6-10 BABCC 11-15 ABAAC 16-20 BCBCA

21-23 ADD 24-27 BCCD 28-31 BCBC 32-35 ADBA 36-40 BADGF

41-45 BCADD 46-50 CBDCB 51-55 CACBA 56-60 DBADA

61. longer 62. to see 63. dying 64. is 65. than 66. that/which

67. causes 68. strengthen 69. energetic 70. it/running

第一行71. countryside 前加the

第二行72. find-found 第三行73. another—other 第四行74. here-there

75. chicken- chickens 第五行76. which-where/前面加in 第六行77. sell-selling

78. happily-happy 第七行79.去掉for 80. but –and

2018全国高考1卷文科数学试题及答案(官方)-word版

2018年普通高等学校招生全国统一考试 文科数学 注意事项: 1.答卷前,考生务必将自己的姓名、考生号等填写在答题卡和试卷指定位置上. 2.回答选择题时,选出每小题答案后,用铅笔把答题卡上对应题目的答案标号涂黑.如需改动,用橡皮擦干净后,再选涂其它答案标号.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.考试结束后,将本试卷和答题卡一并交回. 一、选择题(本题共12小题,每小题5分,共60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{} 02 A=,,{} 21012 B=-- ,,,,,则A B=() A.{} 02 ,B.{} 12 ,C.{}0D.{} 21012 -- ,,,, 2.设 1 2 1 i z i i - =+ + ,则z=() A.0 B.1 2 C.1D 3.某地区经过一年的新农村建设,农村的经济收入增加了一倍.实现翻番.为更好地了解该地区农村的经济收入变化情况,统计了该地区新农村建设前后农村的经济收入构成比例.得到如下饼图: 则下面结论中不正确的是() A.新农村建设后,种植收入减少 B.新农村建设后,其他收入增加了一倍以上 C.新农村建设后,养殖收入增加了一倍 D.新农村建设后,养殖收入与第三产业收入的总和超过了经济收入的一半 4.已知椭圆C: 22 2 1 4 x y a +=的一个焦点为() 2,0,则C的离心率() A.1 3 B. 1 2 C D

5.已知圆柱的上、下底面的中心分别为1O ,2O ,过直线12O O 的平面截该圆柱所得的截面是面积为8的正方形,则该圆柱的表面积为( ) A . B .12π C . D .10π 6.设函数()()321f x x a x ax =+-+.若()f x 为奇函数,则曲线()y f x =在点()00,处的切线方程为( ) A .2y x =- B .y x =- C .2y x = D .y x = 7.在ABC △中,AD 为BC 边上的中线,E 为AD 的中点,则EB =( ) A . 3144AB AC - B .1344AB AC - C . 3144AB AC + D .1344 AB AC + 8.已知函数()222cos sin 2f x x x =-+,则( ) A .()f x 的最小正周期为π,最大值为3 B .()f x 的最小正周期为π,最大值为4 C .()f x 的最小正周期为2π,最大值为3 D .()f x 的最小正周期为2π,最大值为4 9.某圆柱的高为2,底面周长为16,其三视图如图所示,圆柱表面上的点M 在 正视图上的对应点为A ,圆柱表面上的点N 在左视图上的对应点为B ,则 在此圆柱侧面上,从M 到N 的路径中,最短路径的长度为( ) A . B . C .3 D .2 10.在长方体1111ABCD A B C D -中,2AB BC ==,1AC 与平面11BB C C 所成的角为30?,则该长方体的体积为( ) A .8 B . C . D .

2018上海高考英语真题试题-上海市2018年高考英语试题

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则下面结论中不正确的是( ) A .新农村建设后,种植收入减少 B .新农村建设后,其他收入增加了一倍以上 C .新农村建设后,养殖收入增加了一倍 D .新农村建设后,养殖收入与第三产业收入的总和超过了经济收入的一半 4.记n S 为等差数列{}n a 的前n 项和.若3243S S S =+,12a =,则3a =( ) A .12- B .10- C .10 D .12 5.设函数()()321f x x a x ax =+-+.若()f x 为奇函数,则曲线()y f x =在点()00,处的切线方程为( ) A .2y x =- B .y x =- C .2y x = D .y x = 6.在ABC △中,AD 为BC 边上的中线,E 为AD 的中点,则EB =( ) A .31 44AB AC - B .13 44AB AC - C . 31 44 AB AC + D . 13 44 AB AC + 7.某圆柱的高为2,底面周长为16,其三视图如右图所示,圆柱表面上的点 M 在正视图上的对应点为A , 圆柱表面上的点N 在左视图上的对应点为B ,则在此圆柱侧面上,从M 到N 的路径中,最短路径的长度为( ) A . B . C .3 D .2 8.设抛物线24C y x =:的焦点为F ,过点()20-,且斜率为2 3 的直线与C 交于M ,N 两点,则FM FN ?=( ) A .5 B .6 C .7 D .8 9.已知函数()0 ln 0x e x f x x x ?=?>? ,≤,,()()g x f x x a =++,若()g x 存在2个零点,则a 的取值范 围是( ) A .[)10-, B .[)0+∞, C .[)1-+∞, D .[)1+∞, 10.下图来自古希腊数学家希波克拉底所研究的几何图形,此图由三个半圆构成,三个半圆的直径分别为直角三角形ABC 的斜边BC ,直角边AB ,AC ,ABC △的三边所围成的区域

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10. 下图来自古希腊数学家希波克拉底所研究的几何图形,此图由三个半圆构成,三个半圆的直径分 别为直角三角形 ABC 的斜边BC ,直角边AB , AC , △ ABC 的三边所 围成的区域记为I, 黑色部分记为H,其余部分记为川,在整个图形中 随机取一点,此点取自I, n,川的概率分别记为 小,p 2, p 3,则( ) A . P 1 P 2 B . 口 P 3 C . P 2 P 3 D . 2 11. 已知双曲线C : — y 2 1 , O 为坐标原点,F 为C 的右焦点,过F 的直线与C 的两条渐近线的交 3 点分别为M , N .若△ OMN 为直角三角形,则 MN | ( ) A . 3 B . 3 C . 2 3 D . 4 2 4 ?记S n 为等差数列 的前n 项和. 若3S 3 S 2 S 4 , a 2 , A . 12 10 C . 10 D . 12 5.设函数 x 3 1 x 2 ax . 为奇函数,则曲线 在点0, 0处的切线方程为 2x C . y 2x 6 .在△ ABC 中, AD 为BC 边上的中线, E 为AD 的中点,则 uur EB 3 uuu A . - AB 4 3 uu u C .二 AB 4 1 uiir -AC 4 1 uuu AC 4 1 uuu B . - AB 4 1 uuu D . - AB 4 3 UULT 3 AC 4 3UHT -AC 4 7.某圆柱的高为2,底面周长为16,其三视图如右图所示,圆柱表面上的点 M 在正视图上的对应点为 A ,圆柱表面上的点 N 在左视图上的对应点为 则在此圆柱侧面上, 从 M 到N 的路径中, 最短路径的长度为( A . 2 17 C . 8.设抛物线 C : 4x 的焦点为F ,过点 luuu iuur FM FN C . 9.已知函数f e x , x w 0 ln x , x 0 0, 2 且斜率为 的直线与C 交于M , N 两点, 3 x a ,若g x 存在2个零点,则a 的取值范围是( C . 1 , D . 1, )

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A. 34 AB → - 1 4 AC → B. 14 AB → - 34 AC → C. 34 AB → + 14 AC → D. 14 AB → + 34 AC → 7、某圆柱的高为2,底面周长为16,其三视图如右图。圆柱表面上的点M 在正视图上的对应点为A ,圆柱表面上的点N 在左视图上的对应点为B ,则在此圆柱侧面上,从M 到N 的路径中,最短路径的长度为( ) A. 2√17 B. 2√5 C. 3 D. 2 8.设抛物线C :y 2=4x 的焦点为F ,过点(-2,0)且斜率为2 3的直线与C 交于M ,N 两点,则FM → ·FN → =( ) A.5 B.6 C.7 D.8 9.已知函数f (x )= g (x )=f (x )+x+a ,若g (x )存在2个零点,则a 的取值围是( ) A. [-1,0) B. [0,+∞) C. [-1,+∞) D. [1,+∞) 10.下图来自古希腊数学家希波克拉底所研究的几何图形。此图由三个半圆构成,三个半圆的直径分别为直角三角形ABC 的斜边BC ,直角边AB ,AC. △ABC 的三边所围成的区域记为Ⅰ,黑色部分记为Ⅱ,其余部分记为Ⅲ。在整个图形中随机取一点,此点取自Ⅰ,Ⅱ,Ⅲ的概率分别记为p 1,p 2,p 3,则( ) A. p 1=p 2 B. p 1=p 3 C. p 2=p 3 D. p 1=p 2+p 3 11.已知双曲线C : 11 1 - y 2=1,O 为坐标原点,F 为C 的右焦点,过F 的直线与C 的两条渐近线的 交点分别为M ,N . 若△OMN 为直角三角形,则∣MN ∣=( ) A. 3 2 B. 3 C. D.4 12.已知正方体的棱长为1,每条棱所在直线与平面α 所成的角都相等,则α 截此正方体所得截面面积的最大值为( ) A. B. C. D.

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