杭州二中2012学年第一学期高二年级期末考试英语试卷2013.01 本试卷分第I卷（选择题）和第II卷（非选择题）两部分，共100分
第I卷满分68分
第一部分：听力（共两节，每小题1分，满分15分）
第一节
1. When does Tom plan to leave?
A. At 5:15.
B. At 5: 30.
C. At 5: 45.
2. What is the man going to do after the meeting?
A. Continue to work.
B. Go straight home.
C. Take swimming lessons.
3. What did the man do for three weeks?
A. He took a sightseeing trip.
B. He studied in a different class.
C. He stayed home watching TV.
4. Where does this conversation most probably take place?
A. In a market.
B. In a kitchen.
C. In a garden.
5. What do we know about the match?
A. It might not be much fun.
B. It must be exciting.
C. It has to be put off.
第二节
听第6段材料，回答6-7题。
6. What did Alan use to play when he was at school?
A. Football.
B. Tennis.
C. Volleyball.
7. Which of the following places does the woman often go to?
A. Stadium.
B. The Health Center.
C. The Cup Final.
听第7段材料，回答8-9题。
8. What has the man brought to the woman?
A. Some fruit.
B. Some food.
C. Some medicine.
9. Why doesn’t the man want to stay too long?
A. Because he is very busy.
B. Because he knows the woman needs more rest.
C. Because he is told by the doctor not to stay long.
听第8段材料，回答10-11题。
10. Where does this conversation probably take place?
A. In a shoe store.
B. In a hotel.
C. In a department store.
11. Why did the man use his passport while he was shopping?
A. Because he needed to check in the hotel.
B. Because the woman asked him to show his passport.
C. Because he wanted to pay for the shoes with his traveler’s checks.
听第9段材料，回答12-15题。
12. What does the speaker mainly talk about?
A. The difference between human beings.
B. The difference between the human beings and animals.
C. The human beings and animals.
13. In what way are men different from animals?
A. Men can understand things quickly. ks5u
B. Men can learn from each other.
C. Men have learned to use language.
14. Which of the following is TRUE according to the passage?
A. Some apes can learn a few words.
B. An ape can think about the past and the future.
C. An ape can join words and make sentences.
15. What do scientists know now?
A. How children learn to speak.
B. Why apes can learn a few words.
C. Man’s brain helps him learn to speak.
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18小题；每小题0.5分，满分9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，并在答题纸上将该选项标号涂黑。
16. —I think you’d better improve your writing before Mr. Smith grades it.
—Oh, dear! _______
A. Who cares?
B. You’re welcome.
C. I don’t mind at all.
D. Is it as bad as that?
17. Villagers along the coast depend on the fishing industry, _______ there won’t be much work.
A. where
B. that
C. by which
D. without which
18. If your rented car isn’t insured, you may_______ great loss when anything unexpected
happen.
A. risk
B. deny
C. avoid
D. delay
19. —Did you go to see the New Year’s Gala on December 31st?
—Yeah. Every boy and every girl in the school _______ invited.
A. were
B. have been
C. was
D. has been
20. Some worry that if we have illegal immigrants ________ in, many locals will lose their jobs.
A. come
B. coming
C. to come
D. having come
21. When the new traffic rules were first applied, some cars were found stopping at crossings,
even when the green light was on, not ________, as the drivers were afraid of a sudden yellow light.
A. moved
B. moving
C. to move
D. being moved
22. It was announced that only when the suspect was found ________ to return to their school.
A. the pupils would be permitted
B. had the pupils been permitted
C. would the pupils be permitted
D. the pupils had been permitted
23. M istakes don’t just happen; they occur for a reason. Find out the reason and then making
the mistake becomes ________.
A. unique
B. important
C. essential
D. worthwhile
24. Any suggestion or help from you will be greatly appreciated. Please give me a reply at your
earliest ________.
A. convenience
B. conclusion
C. consideration
D. enquiry
25. —Would you please explain to me why “Gangnam Style” became so popular?
—I’m sorry but tha t’s ________ I’m puzzled.
A. what
B. why
C. which
D. where
26. The US is believed to be less interested in expanding its political influence as it has a lot of
problems to ________ within its own.
A. attend to
B. apply for
C. account for
D. approve of
27. The GDP for 2013 is expected to rise by more than _______ 8 percent.
A. any other
B. the other
C. another
D. other
28. The Times Square in New York, _______ by countless high rises and advertisements, is a
must-see for visitors.
A. surrounding
B. being surrounded
C. surrounded
D. having been surrounded
29. —Do you think we should put the remaining products on sale?
—Yes, we should, for we _______ enough, and our time _______ out.
A. have earned; is running
B. had earned; is running
C. earn; has run
D. earned; has run
30. Many universities provide scholarships for those outstanding students _______ financial aid.
A. in place of
B. in face of
C. in debt of
D. in need of
31. I heard Tom telling everyone that he’s got a new job, but he didn’t mention _______ more
than a dozen times before that. ks5u
A. to reject
B. having been rejected
C. having rejected
D. to be rejected
32. Knowing that she was shy and easily scared, the teacher reminded her _______ to pay more
attention to her handwriting.
A. roughly
B. similarly
C. privately
D. firmly
33. All have some dark days but all are not strong enough to hold on _______ things get better.
A. when
B. until
C. whether
D. unless
第二节：完型填空（共16小题；每小题1分，满分16分）
阅读下面短文，掌握其大意，然后从34—49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 he art transplant her life was in 34 danger.
Both the mother and daughter knew that the chances were very small: finding a donor (捐赠的) heart that 35 Maria’s blood type could take years. However, Carmen was determined to save her mother. She kept 36 hospitals all over the country.
Days stretched out. By Christmas, Maria had trouble walking from one end of the room to the other. Carmen lost all 37 . She fell into a corner of the hospital, crying.
“Are you okay?” a man asked.
Carmen sobbed as she told the stranger her 38 . This middle-aged man was named Frank, whose wife, Cheryl, a tender and devoted mother of four lovely children, had been in hospital with a brain disease and wouldn’t 39 it through the night. Suddenly, an idea came to Frank’s mind. He knew Cheryl had always wanted to 40 something from herself. Could her heart go to Carmen’s mother?
After reviewing the data, doctors 41 Frank that his wife’s heart was 42 some miracle a perfect fit for Carmen’s mother. They were able to 43 the transplant.
That cold night, when Cheryl was 44 dead, Frank came to knock at Maria’s door. She was 45 for Frank’s family as she had been doing every day recently. Though Maria had never met Frank before, they both felt a strange 46 as they hugged and cried.
On New Year’s Eve, Carmen attended Cheryl’s funeral with Frank’s family, who were singing their 47 song “My heart will go on.”
One day later, on New Year’s Day, Maria 48 with Cheryl’s heart. Yes, Cheryl’s loving heart would go on, for it was alive in another 49 mother’s chest.
34. A. constant B. slight C. complex D. sound
35 A. matched B. backed C. missed D. adapted
36. A. finding B. phoning C. touring D. begging
37. A. confidence B. power C. hope D. strength
38. A. event B. condition C. truth D. story
39. A. put B. support C. pass D. make
40. A. save B. recycle C. donate D. separate
41. A. informed B. warned C. congratulated D. reminded
42. A. at B. by C. for D. on
43. A. give up B. carry out C. search after D. put off
44. A. noticed B. predicted C. thought D. declared
45. A. praying B. asking C. crying D. singing
46. A. expression B. bond C. idea D. feeling
47. A. smart B. merry C. favorite D. sad
48. A. passed away B. dressed up C. left behind D. woke up
49. A. leaving B. linking C. loving D. thinking
第三部分：阅读理解（共14小题；每小题2分，满分28分）
阅读下列短文，从每题所给的四个选项（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。
A
Many of us like spicy food. It is known that people in some provinces in China, such as Sichuan and Hunan, generally believe chili makes their food taste better. Some go to such an extreme that they even can not survive without spicy food. While a moderate amount of chili can make our tongues burn, our mouths wide open, and our bodies sweat, this is nothing compared with the “ghost chili”, which got its name as the world’s hottest in the Guinness World Records in 2006.
“G host chili”got its name because it is supposedly so hot that it can scare away ghosts. Autumn is peak season for what the Los Angeles Times writer Mark Magnier described as the “innocent-looking, thumb-sized devil (魔鬼)”. Every year there are competitions in which “ghost chili” beats other members in its family and wins the world title as the hottest.
So just how hot is this powerful pepper? “It creates a ribbon of fire from lips to tongue to newly upset stomach. The discomfort lasts several hours,” Magnier wrote in his report about the magic power of “ghost chili”.
Thoudam Anand is an Indian government worker who grows “ghost chili”peppers in his garden. He told Magnier about the first time he ate “ghost chili”– when his friends secretly put some into his food. “Unbearable pain, panic …and teeth gnashing followed,”Anand said. An elderly neighbor suggested a local remedy (疗法): go and eat mud. He did – he ran to the nearest pond. “I would’ve swallowed anything to cool down,” he said. “And since I had no taste buds left, the mud tasted just fine.”
In fact, “ghost chili”is so hot that it is often not even described as “food”. Local Indian airport authorities will confiscate (没收) souvenir“ghost chili”peppers as they are listed as potential hijacking weapons. According to AFP, researchers in the country are testing grenades, sprays and gas made from “ghost chili” to fight terrorists and help women defend themselves. “It’s all-natural,”said Lokendra Singh, director of the Defense Research and Development Organization’s lab in northeast India.
50. From the passage above we can learn that the “ghost chili” ________.
A. is very powerful mainly because of its small size
B. looks quite ordinary and normal like other chilies
C. can be used to help people scare the ghosts away
D. often makes people unable to survive without it
51. The example of Anand is given in paragraph 4 to tell us ________.
A. it’s quite fun to taste the “ghost chili”
B. it’s dangerous to grow the “ghost chili”
C. mud tastes better than the “ghost chili”
D. the “ghost chili” tastes extremely hot
52. Saying “I would’ve swallowed anything to cool down,” Anand meant ________.
A. he would try anything to get better
B. he preferred chilies to anything else
C. he regretted eating the “ghost chili”
D. he was not very particular about food
B
53. Stella Ehrhart gets ideas how to dress up every day before school from ________.
A. Laura Ingalls Wilder
B. a book
C. Hermione Granger
D. her parents
54. Which of the following is the biggest problem Stella Ehrhart is facing?
A. She has to get through the entire second grade dressing up as others.
B. She’s finding her parents no longer offer her as much su pport as before.
C. She’s finding it hard to think of enough new figures to dress up as.
D. She has difficulty dressing up without falling behind in study.
55. Yakovlev Yak-42 is a certain kind of ________.
A. school
B. company
C. toy
D. plane
56. We can infer from the above news that ________.
A. eating insects can be dangerous
B. kids dislike the plane kindergarten
C. Las Vegas only brings luck for the poor
D. all the girls love fancy clothes and costumes
C
We all remember seeing hitchhikers (搭便车的人), standing by the side of the road, thumb sticking out, waiting for a lift. But it is getting rare nowadays. What killed hitchhiking? Safety is often mentioned as a reason. Movies about murderous hitchhikers and real-life crime have put many drivers off picking up hitchhikers. That no single women picked me up on my journey to Manchester no doubt reflects the safety fear: a large, strangely dressed man is seen as dangerous.
But the reason may be more complex: hitchhiking happens where people don’t have cars and transport services are poor. Plenty of people still hitchhike in Poland and Romania. Perhaps the rising level of car ownership in the UK means the few people hitchhiking are usually considered strange. Why can’t they afford cars? Why can’t they take the coach or the train?
Three-quarters of the UK population have access to a car; many of the remainder will be quite old. The potential hitchhiking population is therefore small. Yet my trip proves it’s still possible to hitchhike. The people who picked me up were very interesting-lawyer, retired surgeon, tank (坦克) commander, carpenter, man who live in an isolated farmhouse and a couple living up in the mountains. My conclusion is that only really interesting people are mad enough to pick up fat guys in red, spotted scarves. Most just wanted to do someone a good turn; a few said they were so surprised to see a hitchhiker that they couldn’t help stopping.
The future of hitchhiking most likely lies with car-sharing organized over the Internet, via sites such as https://www.doczj.com/doc/2c11845719.html,. But for now, you can still stick your thumb out (actually, I didn’t do much of that, preferring just to hold up my destination sign) and people—wonderful, caring, sharing, unafraid people—will stop.
In the UK, with its cheap coaches and reasonable rail service, I don’t think I’ll make a habit of it. But having enjoyed it so much, I’m ready now to do a big trip across Europe and beyond. In the 1970s a female friend of my wife’s hitchhiked to India. How wonderful it would be to have another go, though Afghanistan might be a challenge. I wish I’d got that tank commander’s mobile number.
57. The author tried to hitchhike but was rejected by single women drivers because ________.
A. they were not heading towards Manchester
B. they thought most hitchhikers were dangerous
C. hitchhiking was forbidden and they didn’t want to break the law
D. he was a strong man in strange clothes who seemed dangerous
58. From the above passage we can learn that in the UK ________.
A. it is certain that hitchhiking has no future
B. hitchhiking isn’t needed as muc h as before
C. those who pick up hitchhikers don’t see movies
D. people don’t like traveling by coach or train
59. Why does the writer say at the end of the passage that Afghanistan might be a challenge?
A. Because transportation in Afghanistan is bad.
B. Because Afghanistan is too far from the UK.
C. Because Afghanistan is a dangerous place.
D. Because people in Afghanistan are tough.
D
The glass office and apartment towers of New York City, which is a major stopover for migrating birds (候鸟) on the Atlantic flyway, can be deadly for birds. “We live in an age of glass,” said Ms. Laurel, an architect. “It can be a perfect mirror in certain lights, and the larger the glass, the more dangerous it is.” An approximated 90,000 birds are killed yearly by flying into buildings in New York City. Often, they strike the lower levels of glass towers after seeking for food in nearby parks. Some experts say such crashes are the second-leading cause of death for migrating birds, after habitat loss, with a national number ranging up to a billion a year.
As glass office and apartment towers have increased in the last decade, so, too, have calls to make them less deadly to birds. The San Francisco Planning Commission adopted bird-safety standards for new buildings in July, and this month that city’s Board of Supervisors will vote on making it law. The United States Green Building Council, a nonprofit industry group that encourages the creation of environmentally conscious buildings, will introduce a bird-safety credit this fall as part of its environmental certification process.
There are no easy fixes, however. A few manufacturers are exploring glass designs that use ultraviolet (紫外线) signals visible only to birds, but they are still in their experimental stage. Dot patterns, shades, screens — even nets — are the main choices available.
New York City Audubon, the American Bird Conservancy and other groups are actively pressing for their use. “I hope there will come a time when putting up an all-glass building is like wearing a fur coat,” said Glenn Phillips, chief director of New York City Audubon. “Not that no one will do it, but maybe they’ll think twice about it.” Often, only one section of a building is to be changed. “You don’t necessarily h ave to treat every window.” Mr. Phillips said.
The Jacob K. Javits Convention Center is the most recent building to voluntarily correct the problem of bird crashes. The architects designed refitting (整修) that included less reflective glass and a dot pattern. Some new all-glass buildings are designed so that birds can easily detect them. Environmentalists point to Frank Gehry’s IAC headquarters in Chelsea as an example. Horizontal, dotted white bands control the flow of light, while the curved (有弧度的) surface prevents a mirror effect.
60. What is the main idea of the passage?
A. New York is a city famous for the beautiful glass towers.
B. Danger from glass towers for migrating birds causes concern.
C. New York has adopted some new safety standards for buildings.
D. Glass towers are being forced to take measures to protect birds.
61. What is the number one cause of death for migrating birds?
A. Climate change
B. Habitat loss
C. Lack of food
D. Crashing into buildings
62. What does the underlined word “fixes” in the t hird paragraph probably mean?
A. Choices
B. Explanations
C. Solutions
D. Developments
63. Which of the following can be learned from the above passage?
A. In many cases, the whole building needs to be refitted to prevent bird crashes.
B. The Jacob K. Javits Convention Center is the first building to deal with bird crashes.
C. About 90,000 birds are killed due to habitat loss in New York City each year.
D. The glass designs that use ultraviolet signals are still in their early stages.
第II卷32分
第四部分写作(共四小节，满分32分)
第一节：单词拼写（每小题0.5分，满分5分）
64. We advised him to publish his latest research but it seemed that he didn’t i___________ to.
65. If you have anything to add, or you disagree with anything, please post any of your
c___________ here.
66. Those who are more c___________ with their life and themselves are usually easier to be
happy.
67. The two chimps c___________approached us because to them, I'm sure we were the
unusual-looking visitors!
68. Among the s___________ Sam brought back home from Tibet, a small silver ring is his
favorite.
69. The government has f___________ the problem and already taken effective measures in
advance.
70. He’s been busy a___________ for the coming conference meeting these days.
71. News came that many cars became out of control and s___________ off roads in the big
snow.
72. In order to welcome the Spring Festival, they are planning to give the house a t___________
cleaning.
73. The restaurant offers v___________ of delicious dishes that can rarely be tasted elsewhere.
第二节：课文填空（每小题1分，满分10分）
74. First of all, he wrote out a long list of all the foods ______________________________.
75. I went ______________________________ recently, but my trip took me longer than I
expected.
76. ______________________________, the room is rather small, so I have temporarily put my
books on the floor.
77. You’ll find your colleagues very eager to assist you, so you may be able to
______________________________ if you’re interested.
78. A footballer was accused of taking money for ______________________________ so as to
let the other team win.
79. She explained that as an amateur photographer she expected all the photographs
______________________________ to her before they were published.
80. You have three layers of skin which act ______________________________ disease,
poisons and the sun’s harmful rays.
81. Cover ______________________________ a dry, clean bandage that will not stick to the
skin. Hold the bandage in place with tape.
82. When he and his father rushed outside, a man ran from the scene. They discovered that
Anne Slade, mother of three, ______________________________ with a knife.
83. He slowed the bleeding by ______________________________ the wounds until the police
and ambulance arrived.
第三节：短文改错（每小题0.5分，满分5分）
假定英语课上老师要求同学之间交换修改作文，请你修改你同桌写的以下作文。文中共有10处语言错误，要求你在错误的地方增加、删除或修改某个单词。
增加：在缺词处加一个漏词符号（/\），并在该句下面写出该加的词。
删除：把多余的词用斜线（\）划掉。
修改：在错的词下划一横线，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。
例如：
Many students are enthusiastic to school activities. They believed that they should take every chance to get the practical knowledge. However, a large group students take no interest in them. They believe that they should make fully use of time to study. Beside, they feel that school activities have much to do with their future development. As far as I am concern, I prefer the first view. By take part in school activities, we can learn a great deal from other students. We can also learn how to communicate and cooperate with others, what is of great importance.
第四节：书面表达（满分12分）
你班英语课上正在进行名言警句（quote）交流活动，假设你挑选的名言警句是“Passion (激情、热情) is the key to success.”：请按下列要求用英语写一篇100-120个词的演讲稿：１.介绍该警句的意义及谈谈你的看法
２.举例说明理由
注意：开头已经给出，不计入总词数。
Hi, my dear friends. The quote I’d like to share with you today is “Passion is the key to success.”_______________________________________________________________________
_______________________________________________________________________________ _______________________________________________________________________________
杭州二中2012学年第一学期高二年级期末英语答卷
第四部分写作(共四小节，满分32分)
第一节：单词拼写（每小题0.5分，满分5分）
64.___________ 65. ___________ 66. ___________ 67. ___________ 68. ___________
69.___________ 70. ___________ 71. ___________ 72. ___________ 73. ___________
第二节：课文填空（每小题1分，满分10分）
74._______________________________ 75. _______________________________
76. _______________________________ 77. _______________________________
78. _______________________________ 79. _______________________________
80. _______________________________ 81. _______________________________
82. _______________________________ 83. _______________________________
第三节：短文改错（满分5分）
假定英语课上老师要求同学之间交换修改作文，请你修改你同桌写的以下作文。文中共有10处语言错误，要求你在错误的地方增加、删除或修改某个单词。
增加：在缺词处加一个漏词符号（/\），并在该句下面写出该加的词。
删除：把多余的词用斜线（\）划掉。
修改：在错的词下划一横线，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。
例如：
Many students are enthusiastic to school activities. They believed that they should take every chance to get the practical knowledge. However, a large group students take no interest in them. They believe that they should make fully use of time to study. Beside, they feel that school activities have much to do with their future development. As far as I am concern, I prefer the first
view. By take part in school activities, we can learn a great deal from other students. We can also learn how to communicate and cooperate with others, what is of great importance.
第四节：书面表达（满分12分）
Hi, my dear friends. The quote I’d like to share with you today is “Passion is the key to success.”_____________________________________________________________________
_____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________
_____________________________________________________________________________
高二英语期末试卷答案
第一部分：听力（共两节，满分15分）
1---5 BCACA 6---10 BBABC 11---15 CBCAC
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18小题；每小题0.5分，满分9分）
16---20 DDACB 21---25 BCDAD 26---30 ACCAD 31---33 BCB
第二节：完型填空（共16小题；每小题1分，满分16分）
34---49 AA BCDDC ABBDA BCDC
第三部分：阅读理解（共14小题；每小题2分，满分28分）
50---52 BDA 53---56 BCDA 57---59 DBC 60---63 BBCD
第四部分写作(共二小节，满分32分) ks5u
第一节：单词拼写（满分5分）ks5u
64. intend 65. comments/comment 66. content/contented 67. curiously 68. souvenirs 69. foreseen 70. arranging 71. slid/slipped 72. thorough 73. varieties
第二节：课文填空（满分10分）
74. First of all, he wrote out a long list of all the foods which were forbidden.
75. I went on an excursion recently, but my trip took me longer than I expected.
76. To make matters worse, the room is rather small, so I have temporarily put my books on the
floor.
77. You’ll find your colleagues very eager to assist you, so you may be able to concentrate on
photography later if you’re interested.
78. A footballer was accused of taking money for deliberately not scoring goals so as to let the
other team win.
79. She explained that as an amateur photographer she expected all the photographs to be
submitted to her before they were published.
80. You have three layers of skin which act as a barrier against disease, poisons a nd the sun’s
harmful rays.
81. Cover the burned area with a dry, clean bandage that will not stick to the skin. Hold the
bandage in place with tape.
82. When he and his father rushed outside, a man ran from the scene. They discovered that
Anne Slade, mother of three, had been stabbed repeatedly with a knife.
83. He slowed the bleeding by applying pressure to the wounds until the police and ambulance
arrived.
第三节：短文改错（满分5分）
Many students are enthusiastic to school activities. They believed that they should take
about believe
every chance to get the practical knowledge. However, a large group /\ students take no interest
in
of
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view. By take part in school activities, we can learn a great deal from other students. We can taking
also learn how to communicate and cooperate with others, what is of great importance.
which
第四节：书面表达（满分12分）（略）
2014年杭州二中第二学期高二年级期中考试数学试卷（理科） 注意：本试卷不得使用计算器 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a 、b 、m 为正实数，则不等式 a m a b m b +>+成立的条件是（ ） A ．a < b B ． a > b C ． a ≤b D ． a ≥b 2.已知,x y R ∈，则“xy ＞0”是“|x +y |=|x |+|y |”的（ ） A.充分不必要条件 B.必要不充分条件 C.充要条件 D.既不充分也不必要条件 3.函数2()2ln f x x x =-的单调减区间是（ ） A ．(0,1] B ．[1,)+∞ C ．(,1]-∞-及(0,1] D ．[1,0)-及(0,1] 4. 如图，在正方体ABCD －A 1B 1C 1D 1中，棱长为a ，M ，N 分别为A 1B 和AC 上的点，A 1M ＝ AN ，则MN 与平面BB 1C 1C 的位置关系是 （ ） A ．相交 B ．平行 C ．垂直 D ．不能确定 5.已知点P 是抛物线22x y =上的一动点,焦点为F ,若定点(1,2)M ,则当P 点在 抛物线上移动时, PM PF +的最小值等于 （ ） A. 52 B.2 C. 32 D.3 6. 若将一个真命题中的“平面”换成“直线”、“直线”换成“平面”后仍是真命题，则该命题称为 “可换命 题”.下列四个命题：①垂直于同一平面的两条直线平行；②垂直于同一平面的两个平面平行； ③平行 于同一直线的两条直线平行；④平行于同一平面的两条直线平行．其中是“可换命题”的是 （ ） A ．①② B ．①④ C ．①③ D ．③④ 7.各位数字之和等于6的三位数共有（ ） A ．17个 B ．18个 C ．21个 D ．22个 8. 如图，点A ，B ，C 的坐标分别为(0,2)，(－2,0)，(2,0)，点M 是边AB 上异
【一】选择题：本大题共12小题，每题5分，总分值60分，在每题给出的四个选项中，只有一项为哪一项符合要求的． 1．命题〝假设2x =，那么2 320x x -+=〞的逆否命题是〔 〕 A 、假设2x ≠，那么2320x x -+≠ B 、假设2320x x -+=，那么2x = C 、假设2320x x -+≠，那么2x ≠ D 、假设2x ≠，那么2 320x x -+= 2．〝直线l 垂直于ABC △的边AB ，AC 〞是〝直线l 垂直于ABC △的边BC 〞的 〔 〕 A 、充分非必要条件 B 、必要非充分条件 C 、充要条件 D 、既非充分也非必要条件 3 ．过抛物线24y x =的焦点F 的直线l 交抛物线于,A B 两点．假设AB 中点M 到抛物线 准线的距离为6，那么线段AB 的长为〔 ) A 、6 B 、9 C 、12 D 、无法确定 4．圆 042 2=-+x y x 在点)3,1(P 处的切线方程为 ( ) A 、023=-+y x B 、043=-+y x C 、043=+-y x D 、023=+-y x 5．圆心在抛物线x y 22=上，且与x 轴和抛物线的准线都相切的一个圆的方程是 〔 〕 A 、0 122 2 =+--+y x y x B 、041 222=- --+y x y x C 、0 122 2 =+-++y x y x D 、 041222=+ --+y x y x 6．在空间直角坐标系O xyz -中，一个四面体的顶点坐标为分别为(0,0,2)，(2,2,0)， (0,2,0)，(2,2,2)．那么该四面体在xOz 平面的投影为〔 〕
浙江省杭州二中2014-2015学年高二上学期期中考试英语试题 本试卷分第一卷（选择题）和第二卷（非选择题）两部分，共100分，考试时间90分钟。 第I卷(共65分) I：听力（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秒钟的时间回答有关小题和阅读下一小题。每段对话仅读一遍。 1. What color is the shirt? A. Yellow. B. Green. C. Blue. 2. How much does the woman weigh? A. 150 pounds. B. 153 pounds. C. 170 pounds. 3. What does the woman find about advertisements? A. Reliable. B. Helpful. C. Misleading. 4. Where will the family probably go for a holiday? A. To the Shanghai Expo. B. To Hainan. C. To Xi’an. 5. Why does the woman plan to go to the town? A. To get some money from the bank. B. To buy books in a bookstore. C. To pay her bill in the bank. 第二节（共10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。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 is the advantage of the man’s vegetables? A. They are grown with good chemical fertilizer. B. They are safe to eat. C. They look green. 7. What does the woman think of the vegetables? A. They are too expensive. B. They are too green. C. They are overgrown. 8. What will the woman do? A. She won’t buy the vegetables. B. She will buy the vegetables this time. C. She will buy the vegetables next week. 听第7段材料，回答第9至11题。 9. What are the speakers talking about? A. Closing down all the pubs. B. How to ban drinking. C. Driving and drinking. 10. What does the man think of banning drinking? A. Rather difficult. B. Quite simple. C. Nothing
浙江省杭州二中2014-2015学年高二上学期期中考试数学（文）试题 一、选择题（每题3分，共30分） 1.设n m ,是不同的直线，,αβ是不同的平面，下列命题中正确的是 A ．若// m ,,,n m n αβαβ⊥⊥⊥则 B ．若m //,,//,n m n αβαβ⊥⊥则 C ．若//m ,,,//n m n αβαβ⊥⊥则 D ．若m //,,//,//n m n αβαβ⊥ 则 2.正方体1111D C B A ABCD -中，N M 、分别是BC CC ,1的中点，则过N M A 、、三点的正方体1111D C B A ABCD -的截面形状是 A ．平行四边形 B ．直角梯形 C ．等腰梯形 D ．以上都不对 3.如图，在三棱锥ABC S -中，底面是边长为1的等边三角形，侧棱长均为2，⊥SO 底面ABC ，O 为垂足，则侧棱SA 与底面ABC 所成角的余弦值为 A ． 23 B ．21 C ．33 D ．6 3 4.若点()n m P ,，)1,1(+-m n Q 关于直线l 对称，则l 的方程是 A ．01=+-y x B ．0=-y x C ．01=++y x D ．0=+y x 5.直三棱柱111ABC A B C -中，090=∠BCA ，M N 、分别是1111A B A C 、 的中点， 1BC CA CC ==，则 BM 与AN 所成的角的余弦值为 A ．110 B ．25 C D 6.如图，在正方体1111D C B A ABCD -中,下面结论错误的是 A.BD ∥平面11D CB B. 异面直线AD 与1CB 所成的角为30° C.1AC ⊥平面11D CB D. 1AC BD ⊥ 7.如图是一个空间几何体的三视图，则该几何体的外接球的表面积为 S B A C O 3题
高二上语文期末试题 一、现代文阅读（9分） 阅读下面的文字，完成1——3题。 2007年11月，良渚文化核心区域发现一座古城遗址——良渚古城。考古学界测定,良渚文化时期距今约5300—4000年,处于新石器时代晚期,尧舜禹时代早期。这个时期由于没有确切的史料留存于世,我们所知道的关于良渚文化的一鳞半爪,都是来自先前出土的文物。专家认为良渚古城发现的意义不亚于殷墟的发现，因为长江中下游地区之前还从未发现良渚文化时期的城址,它是目前所发现的同时代中国最大的古城遗址，作为实证中华5000年文明史的最具规模和水平的地区之一，良渚古城的发现，有助于厘清史料中没有记载的夏商周之前的那段历史。 古城的南北都是天目山脉的支脉,城与山的距离大致相等,苕溪和良渚港分别由城的南北两侧流过,两个自然的小山,分别位于城墙的西南角和东北角。城墙的底部铺垫的石头都很尖锐,由人工开凿而成。上部用较纯净的黄土一部分一部分夯筑而成，黄土不同于良渚一带灰黑色淤泥,应是人工从外面搬运而来。古城面积约有29万平方米,与颐和园相当,而颐和园四分之三的为水域。如此浩大的工程其石料量、土方量及工匠数量可想而知。明代修建的故宫占地只有72万多平方米，却也要役使百万夫役,也历经14年时间。 在良渚文化的墓葬中,发现了琮、璧、钺等玉器，琮是一种用来祭祀大地的礼器，形状外方内圆，象征着天地的贯穿。对良渚人来说琮是象征王权神权的法器。璧发现的数量众多，其像天园的形状表示它是祭天的礼器，但众多的更像是一种财富的象征。关于钺《说文解字》说它是从斧发展而来的砍伐或打仗用的武器。研究表明，琮、璧的形状和刻纹最早出现在良渚文化时期，而钺在良渚文化时期早期已完成了由石钺到玉钺的转变。钺由石质变成了玉质,功能应该已转化,可能转化成了军权的象征。 关于古代用玉的等级制度做了记载:《周礼·冬官》称:“天子用全,上公用龙,侯用瓒,伯用将。”郑玄注:“全,纯色也;龙、瓒、将,皆杂色也。在城内反山大墓中出土的玉器均为真玉中的透闪石软玉；规模稍次一级的上海福泉山九号墓出土的玉器,则真玉居多而杂有假玉;而较一般的浙江海宁荷叶地则真假玉参半。由此可以推断,良渚古城应该是处于当时最高阶层居住的地方,良渚文化已经基本形成用玉的等级制度,被称为夏商周“三代之礼一”的用玉等级制度完全可以上溯到良渚文化时代。 在良渚出土的黑陶器上发现过不少的刻划符号，这些刻划符号都表达了一定的内涵,已经具有文字的性质,在文字的发展历程中,应当处于从原始记事符号到文字产生之间的过渡阶段,是初期象形文字,在后世的甲骨文中能看到它的影子。专家指出，文字是人类思想成熟的表现,只有在社会长期持续、稳定发展,社会结构完善、统一的基础上,才能为文字的出现营造一个良好的发展环境。 1、下列不能作为“良渚古城发现的意义不亚于殷墟的发现”这一论断依据的一项是(3分) （） A、长江中下游地区之前还从未发现良渚文化时期的城址。 B、有助于厘清史料中没有记载的夏商周之前的那段历史。 C、可以进一步了解良渚文化时代的等级制度和社会结构。 D、使原先一鳞半爪的文字发展历程的研究变得完整全面。 2、下列最能体现良渚古城建筑特点的一项是（3分）（） A、古城筑于天目山脉的支脉，城的南北两侧有苕溪和良渚港流过。
2006年杭州二中高考英语模拟试卷 第I卷（共100分） 第一部分：英语知识运用（共两节，满分50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，并在答题纸上将该选项标 号涂黑。 1. My aunt, as ______ easy-going old lady, did give us ______ surprise when she lost her temper at the family party yesterday. A. an; a B. the; a C. an; 不填 D. 不填; a 2. —It is Saturday afternoon. Why are you burying yourself in your homework? the day after tomorrow. —I’m doing it so that I won’t have _______ A. one B. to C. that D. it 3. —_______ is your brother? —He is an engineer in Hitachi Service Center of Hangzhou. A. Where B. Which C. What D. Who 4. —I left my new textbook on the desk near the window, but now it’s gone. —Who do you think _______ it? A. to have taken B. has taken C. took D. having taken 5. How long do you guess it is _______ they reached the resort? A. since B. after C. before D. when 6. —Goods imported from abroad are ______ those made in China. —Yes. Some of the goods made in our country are of high quality. A. always as good as B. always no better than C. not so well as D. not always better than 7. —What did you do last Sunday, Peter? —Well, I _______ to see a friend of mine, but in the end I _______ at home doing nothing. A. was going; stayed B. would go; had stayed C. went; was staying D. had gone; stayed 8. All at once the light ________ and we had to feel our way downstairs. A. took off B. turned off C. went out D. put out 9. —You ought to have given them some advice. —_______, but who cared what I said? A. So I ought B. So ought I C. So I did D. So did I to grow crops. 10. I don’t remember how many years ago ______ people began A. it was when B. it was that C. was it when D. was it that 11. His behavior at the party last night seemed rather ______. Many of us were quite surprised. A. out of pity B. out of place C. out of practice D. out of kindness 12. The river beyond our school has become clean again as new measures are ______ to prevent it ______ any further. A. taken; polluting B. taking; being polluted C. taken; being polluted D. taking; to be polluted 13. No matter how frequently ______, the works of Shakespeare always attract large audiences. A. performed B. performing C. being performed D. to be performed
绝密★考试结束前 2014年普通高等学校招生适应性考试 数 学（理科） 姓名 准考证号 本试题卷分选择题和非选择题两部分。全卷共4页，选择题部分1至2页，非选择题部分3至4页。 满分150分，考试时间120分钟。 请考生按规定用笔将所有试题的答案涂、写在答题纸上。 选择题部分 (共50分) 注意事项： 1．答题前，考生务必将自己的姓名、准考证号用黑色字迹的签字笔或钢笔分别填写在试卷和答题纸规定的位置上。 2．每小题选出答案后，用2B 铅笔把答题纸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。不能答在试题卷上。 参考公式： 球的表面积公式 柱体的体积公式 S =4πR 2 V =Sh 球的体积公式 其中S 表示柱体的底面积，h 表示柱体的高 V =3 4πR 3 台体的体积公式 其中R 表示球的半径 V =31h (S 1+21S S +S 2) 锥体的体积公式 其中S 1, S 2分别表示台体的上、下底面积， V =31Sh h 表示台体的高 其中S 表示锥体的底面积，h 表示锥体的高 如果事件A ，B 互斥，那么P (A +B )=P (A )+P (B ) 一、选择题（共10小题，每小题5分，满分50分） 1．（5分）如图，在正方形ABCD 中，点E 为CD 的中点，点F 为BC 上靠近点B 的一个三等分点，则=（ ） ． C ﹣ D ． ﹣
2．（5分）“复数（a∈R，i为虚数单位）在复平面内对应的点位于第二象限”是“a＜﹣1”的（） 3．（5分）天气预报说，在今后的三天中，每一天下雨的概率均为40%．现采用随机模拟试验的方法估计这三天中恰有两天下雨的概率：先利用计算器产生0到9之间取整数值的随机数，用1，2，3，4表示下雨，用5，6，7，8，9，0表示不下雨；再以每三个随机数作为一组，代表这三天的下雨情况．经随机模拟试验产生了如下20组随机数： 907 966 191 925 271 932 812 458 569 683 431 257 393 027 556 488 730 113 537 989 4．（5分）一个体积为12的正三棱柱的三视图如图所示，则这个三棱柱的侧视图的面积为（） 项的系数是（） 5．（5分）已知（3﹣）n的展开式中各项系数之和为256，则展开式中第7 6．（5分）执行如图所示的程序框图，若输出的结果是9，则判断框内m的取值范围是（） 7．（5分）如图，设D是图中边长分别为1和2的矩形区域，E是D内位于函数y=（x＞0）图象下方的区域（阴影部分），从D内随机取一个点M，则点M取自E内的概率为（） 2
高 二 上 学 期 数 学 期 末 测 试 题 一、选择题：1．不等式21 2 >++ x x 的解集为（ ） A.()()+∞-,10,1Y B.()()1,01,Y -∞- C.()()1,00,1Y - D.()()+∞-∞-,11,Y 2．0≠c 是方程 c y ax =+22 表示椭圆或双曲线的（ ）条件 A ．充分不必要 B ．必要不充分 C ．充要 D ．不充分不必要 3.若,20πθ≤≤当点()θcos ,1到直线01cos sin =-+θθy x 的距离为41,则这条直线的斜率为（ ） B.－1 C.2 3 D.－ 3 3 4.已知关于x 的不等式012 3 2>+-ax ax 的解集是实数集 R ，那么实数a 的取值范围是（ ） A.[0，9 16] B.[0, 9 16） C.（9 16,0） D.????? ? 38,0 5.过点（2，1）的直线l 被04222=+-+y x y x 截得的最长弦所在直线方程为：( ) A. 053=--y x B. 073=-+y x C. 053=-+y x D. 013=+-y x 6.下列三个不等式：①;232x x >+②2,0,≥+≠∈b a a b ab R b a 时、；③当0>ab 时，.b a b a +>+其中恒成立的不等 式的序号是（ ）A.①② B.①②③ C.① D.②③ 7.圆心在抛物线x y 22=上，且与x 轴和该抛物线的准线都相切的一个圆的方程是（ ） A ．041 222=---+y x y x B ．01222=+-++y x y x C ．0122 2 =+--+y x y x D ．04 1222=+--+y x y x 8.圆C 切y 轴于点M 且过抛物线452+-=x x y 与x 轴的两个交点，O 为原点，则OM 的长是（ ） A ．4 B ． C ．22 D ．2 9.与曲线14924 22=+y x 共焦点，而与曲线164 36 2 2=-y x 共渐近线的双曲线方程为（ ） A ．19 1622=-x y B ．191622=-y x C ．116922=-x y D ．116 92 2=-y x 10.抛物线x y 42-=上有一点P ，P 到椭圆115 162 2=+y x 的左顶点的距离的最小值为（ ） A ．32 B ．2+ 3 C ． 3 D ．3 2- 11.若椭圆)1(122>=+m y m x 与双曲线)0(122 >=-n y n x 有相同的焦点F 1、F 2，P 是两曲线的一个交点，则2 1PF F ?的面积是（ ）A ．4 B ．2 C ．1 D ．
2017年浙江省杭州市二中高二英语下学期期末（理）试卷 英语 本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。第Ⅰ卷1至12页。第Ⅱ卷13至14页。考试结束，将本试卷和答题卡一并交回。 第Ⅰ卷 注意事项： 1.答题前，考生在答题卡上务必用黑色签字笔将自己的姓名、准考证号填写清楚，并贴好 条形码。请认真核准条形码上的准考证号、姓名和科目。 2.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，如需改动，用橡 皮擦干净后，再选涂其他答案标号，在试题卷上作答无效。 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.Why does the woman make a call to the man? A.Because she has something important to tell him. B.Because she has left something important in the man’s office. C.Because she is going to leave next day. 2.What is the probable relationship between the two speakers? A. Customer and manager. B. Teacher and receptionist. C. Customer and salesman. 3.Why do most Chinese students find it difficult to express themselves? A.They’ve spent too much time on reading and written exercises. B.They are too shy to open their mouths. C.The don’t like to exchange their ideas with others. 4.What are they talking about? A. A football match. B. A basketball match. C. A baseball match. 5.When are they going to meet each other? A. At 12 a.m. this Wednesday. B. At noon next Wednesday. C. At 11 a.m. next
高二上学期数学期末考试试卷 一、解答题 1. 直线的倾斜角的大小为________． 2. 设直线，， ． （1）若直线，，交于同一点，求m的值； （2）设直线过点，若被直线，截得的线段恰好被点M平分，求直线的方程． 3. 如图，在四面体中，已知⊥平面， ，，为的中点． （1）求证：； （2）若为的中点，点在直线上，且， 求证：直线//平面． 4. 已知，命题{ |方程 表示焦点在y轴上的椭圆}，命题{ |方程
表示双曲线}，若命题“p∨q”为真，“p∧q”为假，求实数的取值范围． 5. 如图，已知正方形和矩形所在平面互相垂直， ，． （1）求二面角的大小； （2）求点到平面的距离. 6. 已知圆C的圆心为，过定点 ，且与轴交于点B，D． （1）求证：弦长BD为定值； （2）设，t为整数，若点C到直线的距离为，求圆C的方程． 7. 已知函数（a为实数）. （1）若函数在处的切线与直线 平行，求实数a的值； （2）若，求函数在区间上的值域； （3）若函数在区间上是增函数，求a的取值范围． 8. 设动点是圆上任意一点，过作轴的垂线，垂足为，若点在线段上，且满足．
（1）求点的轨迹的方程； （2）设直线与交于，两点，点 坐标为，若直线，的斜率之和为定值3，求证：直线必经过定点，并求出该定点的坐标． 二、填空题 9. 命题“对任意的”的否定是________． 10. 设，，且// ，则实数________． 11. 如图，已知正方体的棱长为a，则异面直线 与所成的角为________． 12. 以为准线的抛物线的标准方程是________． 13. 已知命题: 多面体为正三棱锥，命题:多面体为正四面体，则命题是命题的________条件．（填“充分不必要”，“必要不充分”，“充要”，“既不充分又不必要”之一） 14. 若一个正六棱柱的底面边长为，侧面对角线的长为，则它的体积为________． 15. 函数的单调递减区间为________．
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?
杭州二中2019学年第一学期高二年级期中考数学试卷 本试卷分为第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 选择题部分（共40分） 一、选择题：本大题共10小题，每小题4分，共40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. 经过点()1,0-，且斜率为2的直线方程为（ ） A.220x y +-= B.220x y -+-= C.220x y +-= D.220x y ++= 2. 如图，正方体1111ABCD A B C D -，中，异面直线1A B 与1B C 所成的角为（ ） A.6π B.4π C.3π D.2 π 3. 长方体的正视图与侧视图如图所示，则其俯视图的面积为（ ） A.12 B.8 C.6 D.4 正视图 侧视图 4. 命题“若一个数是质数，则它不能被2整除”的否命题是（ ） A.若一个数是质数，则它能被2整除 B.若一个数是合数，则它能被2整除 C.若一个数不是质数，则它能被2整除 D.若一个数不是质数，则它不能被2整除 5. 已知a ，b 是空间中两条不同的直线，α，β是空间中两个不同的平面，若a α⊥，b β⊥，αβ⊥，则a ，b 一定（ ） A.平行 B.相交 C.异面 D.垂直 6. 平面直角坐标系xOy ()cos sin 1y R ααα+=∈与圆O ：22=1x y +（ ） A.相切 B.相交 C.相离 D.相交或相切
7. 过点()4,0-引直线l 与曲线y =A ，B 两点，O 为坐标原点，当AOB V 面积最大时，直线l 的斜率为（ ） A.12 B.7 C.7- D.7 ± 8. 用一个平面去截一个正四面体，截面不可能．．． 为（ ） A.内角均不为90?的菱形 B.平行四边形 C.等腰三角形 D.钝角三角形 9. 已知正方体1111ABCD A B C D -的棱长为3，M ，N 分别为1AB ，11A C 上的点， 且1A N AM =，12AM MB =，P ，Q 分别为1BB ，11B C 上的动点，则折线MPQN 长度的最小值为（ ） A.3 10. 在平面直角坐标系xOy 中，过点) P 作直线与两条直线1:l y x =，2:l y x =-交于A ，B 两点，则OA OB AB +-的最大值为（ ） A. B.10 C.20 D.1+非选择题部分（共110分） 二、填空题：本大题共7小题，多空题每题6分，单空题每题4分，共36分. 11. 已知圆22:244A x y x y +-+=，则圆心A 的坐标为___________，圆A 的半径为___________. 12. 已知直线21:10l x m y ++=与直线2:20l mx y --=平行，若12//l l ，则m =___________；若12l l ⊥，则m = ___________. 13. 已知正方体的棱长为1，则它的外接球半径为___________，与它各棱都相切的球的半径为___________. 14. 在平面直角坐标系xOy 中，点()1,2P 到直线:410l ax y +-=的距离为2，则a =___________. 15. 如图，在正三棱柱111ABC A B C -中，侧棱长为2，底面三角形边长为1，则1BC 与侧面11ACC A 所成角 的正弦值是___________.
高二上学期数学期末考试试卷及答案 考试时间：120分钟试题分数：150分 卷Ⅰ 一、选择题：本大题共12小题,每题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.对于常数、，“”是“方程的曲线是双曲线”的 A.充分不必要条件 B.必要不充分条件 C.充分必要条件 D.既不充分也不必要条件 2.命题“所有能被2整除的数都是偶数”的否定是 A.所有不能被2整除的数都是偶数 B.所有能被2整除的数都不是偶数 C.存在一个不能被2整除的数是偶数 D.存在一个能被2整除的数不是偶数 3.已知椭圆上的一点到椭圆一个焦点的距离为，则到另一焦点距离为 A.B.C.D. 4.在一次跳伞训练中,甲、乙两位学员各跳一次,设命题是“甲降落在指定范围”,是“乙降落在指定范围”,则命题“至少有一位学员没有降落在指定范围”可表示为 A.B.C.D. 5.若双曲线的离心率为，则其渐近线的斜率为 A.B.C.D. 6.曲线在点处的切线的斜率为
A.B.C.D. 7.已知椭圆的焦点与双曲线的焦点恰好是一个正方形的四个顶点，则抛物线的焦点坐标为 A.B.C.D. 8.设是复数,则下列命题中的假命题是 A.若,则 B.若,则 C.若,则 D.若,则 9.已知命题“若函数在上是增函数，则”，则下列结论正确的是 A.否命题“若函数在上是减函数，则”是真命题 B.逆否命题“若，则函数在上不是增函数”是真命题 C.逆否命题“若，则函数在上是减函数”是真命题 D.逆否命题“若，则函数在上是增函数”是假命题 10.马云常说“便宜没好货”,他这句话的意思是:“不便宜”是“好货”的 A.充分条件 B.必要条件 C.充分必要条件 D.既不充分也不必要条 件 11.设，，曲线在点()处切线的倾斜角的取值范围是，则到曲线 对称轴距离的取值范围为 A.B.C.D. 12.已知函数有两个极值点，若，则关于的方程的不同实根个数 为 A.2 B.3 C.4 D.5 卷Ⅱ 二、填空题:本大题共4小题,每小题5分,共20分.
高二（上）期末测试数学试卷（理科） 一、选择题（本大题共12小题，共60.0分） 1. 函数：f(x)=3+xlnx 的单调递增区间是( ) A. (0,1 e ) B. .(e,+∞) C. (1 e ,+∞) D. (1 e ,e) 【答案】C 【解析】解：由函数f(x)=3+xlnx 得：f(x)=lnx +1， 令f′(x)=lnx +1>0即lnx >?1=ln 1 e ，根据e >1得到此对数函数为增函数， 所以得到x >1 e ，即为函数的单调递增区间． 故选：C ． 求出f(x)的导函数，令导函数大于0列出关于x 的不等式，求出不等式的解集即可得到x 的范围即为函数的单调递增区间． 本题主要考查学生会利用导函数的正负得到函数的单调区间，同时考查了导数的计算，是一道基础题． 2. 函数f(x)= lnx?2x x 的图象在点(1,?2)处的切线方程为( ) A. 2x ?y ?4=0 B. 2x +y =0 C. x ?y ?3=0 D. x +y +1=0 【答案】C 【解析】解：由函数f(x)= lnx?2x x 知f′(x)= 1?lnx x 2 ， 把x =1代入得到切线的斜率k =1， 则切线方程为：y +2=x ?1， 即x ?y ?3=0． 故选：C ． 求出曲线的导函数，把x =1代入即可得到切线的斜率，然后根据(1,2)和斜率写出切线的方程即可． 本题考查学生会利用导数求曲线上过某点的切线方程，考查计算能力，注意正确求导． 3. 已知A(2,?5,1)，B(2,?2,4)，C(1,?4,1)，则向量AB ????? 与AC ????? 的夹角为( ) A. 30° B. 45° C. 60° D. 90° 【答案】C 【解析】解：因为A(2,?5,1)，B(2,?2,4)，C(1,?4,1)， 所以AB ????? =(0,3,3),AC ????? =?(?1,1,0)， 所以AB ????? ?AC ????? ═0×(?1)+3×1+3×0=3，并且|AB ????? |=3√2，|AC ????? |=√2， 所以cos
杭州二中2012学年第一学期高二年级期末考试英语试卷2013.01 本试卷分第I卷（选择题）和第II卷（非选择题）两部分，共100分 第I卷满分68分 第一部分：听力（共两节，每小题1分，满分15分） 第一节 1. When does Tom plan to leave? A. At 5:15. B. At 5: 30. C. At 5: 45. 2. What is the man going to do after the meeting? A. Continue to work. B. Go straight home. C. Take swimming lessons. 3. What did the man do for three weeks? A. He took a sightseeing trip. B. He studied in a different class. C. He stayed home watching TV. 4. Where does this conversation most probably take place? A. In a market. B. In a kitchen. C. In a garden. 5. What do we know about the match? A. It might not be much fun. B. It must be exciting. C. It has to be put off. 第二节 听第6段材料，回答6-7题。 6. What did Alan use to play when he was at school? A. Football. B. Tennis. C. Volleyball. 7. Which of the following places does the woman often go to? A. Stadium. B. The Health Center. C. The Cup Final. 听第7段材料，回答8-9题。 8. What has the man brought to the woman? A. Some fruit. B. Some food. C. Some medicine. 9. Why doesn’t the man want to stay too long? A. Because he is very busy. B. Because he knows the woman needs more rest. C. Because he is told by the doctor not to stay long. 听第8段材料，回答10-11题。 10. Where does this conversation probably take place?
杭州二中 2019学年第二学期高一年级期中考试数学试卷 命题:卞勇 校对:陆华兵 审核：孙惠华 一、选择题：本大题共8小题，每小题4分，共32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.函数x x x x x x y tan tan cos cos sin sin + += 的值域为 (A){}3,1 (B){}3,1- (C) {}3,1-- (D) { }3,1- 2.周长为1,圆心角为rad 1的扇形的面积等于 (A) 1 (B) 31 (C) 91 (D) 18 1 3.在ABC ?中，已知:4=a ，x b =，?=60A ，如果解该三角形有两解，则 (A)4>x (B)40≤