七宝高一英语期中考试（2019年11月）
满分：150分
I. Listening Comprehension (25%)
Section A
Directions: In Section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.
1. A. 5:00. B. 4:30. C. 5:30. D. 6:00.
2. A. In a factory. B. In a hotel room. C. At a reception desk. D. In the hell.
3. A. She doesn’t like eating the cake. B. She is trying to buy some cake.
C. She is leaving to take a flight.
D. She is going on a diet now.
4. A. She’s a housewife. B. She’s a nurse.
C. She’s a babysitter.
D. She’s a teacher.
5. A. Painting the room. B. Pleasure in helping others.
C. Preparing for a surprise party.
D. Asking Mike for help.
6. A. She is working in the hospital as a doctor.
B. She is a patient in the hospital.
C. She is not allowed to be visited by her friends.
D. She is seeing patients of injuries on the fourth floor.
7. A. Nervous. B. Relaxed. C. Confident. D. Fine.
8. A. He is not afraid of driving in the terrible rush hour.
B. Driving is much faster than taking the bus to work.
C. He has to leave the seat when the bus gets to his stop.
D. He doesn’t like standing all the way on his way to work.
9. A. Because she doesn’t want a good rest.
B. Because she doesn’t take a bad cold seriously.
C. Because she will lose her job if she does.
D. Because she wants to keep on working.
10. A. Her English class is interesting. B. Mr. Jackson is stricter than Mr. White.
C. She wants to shout in English class.
D. She doesn’t like being sleepy in class.
Section B
Directions: In Section B, you will hear two short passages, and you will be asked to questions on each of the passages. The passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.
Questions 11 through 13 are based on the following passage.
11. A. How to say and spell “horse”. B. A few simple spelling tricks.
C. A comfortable pattern of numbers.
D. Rules in math without a problem.
12. A. He learned the spelling “rules” in high school.
B. He spent hours online playing word games.
C. He entered himself in competitions of all levels.
D. He learned Spanish to play in another language.
13. A. He was good with words in elementary school.
B. He didn’t realize his talent in words until high school.
C. He competed in order to win Word Game Player of the Year.
D. Becoming a word game addict did harm to his life.
Questions 14 through 16 are based on the following news.
14. A. To take up some time. B. To plan a training.
C. To learn from adventure.
D. To develop leadership skills.
15. A. Lectures on public relations. B. Tests on management.
C. Climbing mountains.
D. Long-distance running.
16. A. The company decides the employees’ income according to the report.
B. The employees in the company cannot handle difficult conditions.
C. The employees have to ask for leave for 20 days in July for the program.
D. The company provides the program as welfare for its employees.
Section C
Directions: I n Section C, you will hear a longer conversation. The conversation will be read twice. After you hear the conversation, you are required to answer the following questions.
17. A. Their opinions about making friends online.
B. Their time of going to bed at night.
C. The popularity of social networks.
D. Spending time in a more meaningful way.
18. A. Crazy. B. Necessary. C. Interesting. D. Unreal.
19. A. Making friends online is very interesting.
B. He can share secrets safely with others.
C. He won’t meet someone he knows online.
D. He can practice his English when chatting.
20. A. Come to her house.
B. Get up early in the morning.
C. Sleep more in the evening.
D. Do some more important things.
II. Grammar and vocabulary (50%)
Section A (30%)
Directions: fill in the blank with the proper form of the given verb.
21.If you don’t come this afternoon, you ________(miss) a lot of nice things.
22.A family may have a member who ________(think) of as a black sheep, a person who brings trouble.
23. The glasses I thought I ________(lose) are here, right under my nose.
24. Last month, an Alabama school leader suggested a dress code that ______ (ban) Capri pants (七分裤) and
scarves and include restrictions on eye makeup and nail polish.
25. Zootopia ___________(praise) for its sharp humor and strong message since its release.
26. Amilia Earthart was the first woman ________(fly) the Atlantic Ocean alone.
27. Do you have trouble ________(express) yourself in written English?
28. People’s awareness of personal information protection remains ________(raise).
29. The way to avoid ________(fine) is to obey the traffic rules when you drive.
30. I seem ________(leave) my homework at home, so I have to do it again during the break.
Directions: Read the following passage. Fill in the blanks to make the passage coherent. Fill in each blank with the proper form of the given verb. Make sure that your answers are grammatically correct.
Discover new ways to travel
We’ve probably all met someone who likes to boast about how many places he or she has been to. It’s annoying but it’s true that to some people, traveling is all about the number of destinations one _____31.____(set) foot on. But fortunately, the old “been there, seen that” mode is changing.
Last year’s travel trend was “experiential travel”. This is where tourists look for ways to get to know local culture and interact with local people, so they feel less like an outsider but more like a resident. So what about this year? Can thoughtful tourists get even more out of their traveling experience?
Transformative travel
Transformative travel is much like “experiential travel”, but takes it a step further.
It usually ____32.____(go) through three phases – you go to a place that has a very different background than where you come from, you learn wisdom from the new culture and the people you meet, and finally you return home and use the knowledge in your own life and the lives of those around you. This last phase is how the “transformation” ____33.____(complete) and what ____34.____(separate) transformative travel from experiential travel.
“This allows our travelers ____35.____(start) to see the world less in black and white, and to begin to appreciate how nuanced(微妙的) many issues are when ____36.____(see) from very different perspectives,” Jennine Cohen, director of US travel company GeoEx, told V ogue magazine.
Go green
According to Rebecca Warren, managing editor at Lonely Planet, eco-friendly and sustainable travel will be one of this year’s top trends.
One way to plan a low-impact trip is to travel a shorter distance, which can reduce your carbon footprint. “One trans-Atlantic flight equals a year’s worth of driving, so consider ____37.____(plan) an adventure closer to home,” suggested Warren, according to US News.
Another way to involve sustainability in your travel plans is to choose a destination that ____38.____(benefit) the most from your trip. For example, places like Nepal will enjoy a boost of its local economy from the money it will make through tourism.
Disappearing destinations
Destinations at risk of disappearing are also welcoming an increasing number of tourists.
Everett Potter, a USA Today writer, says that the Arctic and Antarctic have become popular destinations since they ____39.____(threaten) by climate changes.
Another top destination is the Great Barrier Reef in Australia. Due to pollution and global warming, it’s predicted that the reef ____40.____(damage) in just a few decades. Travelers are longing to see the coral “before it’s gone or completely changed”, Potter told US News.
Section B (20%)
Directions: Complete the following passages by using the words in the box. Each word can only be used once. Note that there is one word more than you need.
At the end of a long day, it’s all too easy to take a hot shower, throw on some pajamas, brush your teeth, and
then jump into bed. But have you ever stopped to think about the _____41.___ of sleeping with wet hair? As it turns out, going to bed with wet hair isn’t as ____42.____ as you probably thought.
The first negative result of sleeping with wet hair is purely cosmetic: you can’t predict how your wet hair is going to look in the morning. “If you try to ____43.____ your hair in the morning after sleeping on it wet, you’re probably going to have funny waves, flat sides, and crinkles,” says hairstylist Olga Gilbert of J. Russell Salon in Southern California.
“When you wake up to unruly bedhead, you’re probably going to have to re-wet it again to properly dry it and regain control. This ____44.____ adds time to your morning routine,” she says.
Gilbert says that sleeping with wet hair does not immediately damage your hair follicles or shaft, but it can certainly lead to hair breakage, because wet hair is weakest when wet, making it easier to break. “If you pull your wet hair up into a tight ponytail or bun, you have a much greater chance of breaking it during the night,” Gilbert says. To help with that, here’s how to repair ____45.____ hair with items you already have at home.
If you absolutely must sleep with wet hair because you have to wake up early for work, there are a few easy ways to minimize the damage. First, you can change your cotton pillowcases for silk or satin ones like these. Silk has a much smoother surface, so you won’t experience as much unfortunate breakage. Not using the silk pillowcase is one of the nighttime habits that could ____46.____ your hair.
Next, you can make sure to sleep with your hair down or in a(n) ____47.____ braid(辫子), instead of up in a tight bun or ponytail. In addition, you should replace your tight, elastic bands with a soft scrunchy(束发带) that isn’t going to roughly pull at night. If you’re willing, it’s also very helpful (but less comfortable) to wrap your hair in a silk scarf.
Finally, if you’re going to bed with wet hair, the most important rule is never to forget to ____48.____ product! Protective serums(精华液), dry oils, and texturizing mousses are some of the best ways to ____49.____ you don’t wake up looking like an alpaca(羊驼) while protecting your precious hair from damage. Now that you know how bad sleeping with wet hair is, make sure you’re not making these hairstyle mistakes that ____50.____ your face.
Heritage list on Saturday as an early _____51._____ to globalization.
The decision was made at the ongoing 41st session of World Heritage Committee in Krakow, Poland, which designated Kulangsu a Historic International Settlement.
____52._____ a mere 1.88 square kilometers, the island hosted settlements from 13 countries from the end of the First Opium War (1840-42) to the early 20th century.
The committee found that Kulangsu was China’s major gateway in early-stage globalization and ____53.____ mixed architectural characteristics from the local, Southeast Asian and Western styles. It _____54.____ reflected cross-border communication.
Today, 931 historical buildings and gardens in various styles remain, most of them former tycoons’residences, overseas companies and public institutions like hospitals. Many pioneers of Chinese modernization were born and left their former residences on Kulangsu. "The island has deep traditional Chinese culture roots and inclusiveness to embrace different values and cultures," said Song Xinchao, deputy director of the State Administration of Cultural Heritage. "It also shows a(n) ____55._____ of ancient thought and modern living concepts."
Since 2014, preparations have been made for World Heritage status, Liang said. For example, a digital monitoring network was set up at the sites and a special office was opened within his committee for the ____56._____ of cultural relics.
"Kulangsu is not only a scenic spot, but also a community," Liang said. "We’ve tried to encourage local residents
to participate in the protection."
New museums have opened on the island to better present its cultural resources. An abandoned hospital, for example, was renovated to be used as a satellite gallery of Beijing’s Palace Museum to display its _____57._____ of foreign artifacts.
"The central government will continue to encourage improving the quality of island residents` lives and improving visitors’experiences there," Song said. "An even more beautiful Kulangsu will be ____58.____ to the public."
As a popular tourism destination, Kulangsu has had problems with crowding. Song said the daily number of visitors will be capped to meet crowd-control ____59._____ from World Heritage Committee. More measures will follow to better study and preserve historical heritage on the island.
About 1,600 delegates from 107 countries and 167 international organizations attended the conference, which will continue through July 12. Delegates are judging 35 candidate World Heritage Sites from around the world and also discussing the status and protection of ____60._____ World Heritage Sites in Syria.
III. Reading Comprehension (55%)
Section A (15%)
Directions: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.
Why did the ancient Maya abandon their cities
The ancient Maya built many large cities in the Classic Period, which lasted from about 250 until about 900. Each city had its own king and _____61_____ class. The cities traded with one another but often ____62_____ with one another as well. In about 900, the Maya ___63_____ many of their cities. Archaeologists and other scientists have long puzzled over why the Maya left. They have formed theories by examining those cities carefully and studying the settlements that surround them. Researchers think that the _____64____ in some places may have been so large that people left because there was not enough ____65____ for everyone.
Archaeologists studied ___66____ from one city and its surroundings to learn what had happened there. In Copan they found many tools dating from 500 to about 1000 and a few tools dating from about 1000 to 1200. They found that no new monuments had been built after 822. From studying plant remains, scientists concluded that the area around Copan had been ___67_____. Other evidence suggested that the land was overfarmed. In view of the evidence, the scientists concluded that a large population lived in Copan until about 1000. As more people farmed the land, the soil ____68____ its richness and produced few crops, which caused the Maya who lived there to ____69_____ malnutrition, as analysis of skulls show. As a result, people began to leave Copan in about 1000, but they did not completely abandon the city until about 1200.
____70____ also may have caused the Maya to abandon some of their cities. For example, it is thought that a rival city, Caracol, may have once conquered Tikal. Then, after more than 100 years had passed, Tikal returned to power, and the ruling family built temples to ____71____ its victory. ____72____, by the end of the 800s, Tikal was no longer powerful. Its inhabitants left the city. Some archaeologists and historians think that war may have broken out again and caused the citizens to leave.
Although we do not know for certain why many ancient Maya abandoned their cities, we may find some clues by observing today’s Maya. Modern Maya still live in the lands, including Mexico and Guatemala, that their ancestors ___73_____. Many present-day Maya ___74_____ a variety of ancient beliefs and customs, such as farming practices. Studying their beliefs and practices may ____75____ scientist to discover more about ancient Mayan culture.
61.A. ruling B. living C. educating D. farming
62.A. communicated B. fought C. quarreled D. bargain
63.A. destroyed B. restored C. decorated D. abandoned
64.A. population B. area C. family D. profit
65.A. land B. water C. food D. space
66.A. routes B. clues C. soil D. monuments
67.A. wasteland B. ruins C. battlefield D. farmland
68.A. developed B. created C. lost D. kept
69.A. get rid of B. result from C. suffer from D. show sympathy for
70.A. Malnutrition B. War C. Flood D. Earthquake
71.A. honor B. record C. secure D. taste
72.A. Otherwise B. Besides C. Therefore D. However
73.A. cleared B. approached C. isolated D. occupied
74.A. practice B. declare C. respect D. challenge
75.A. remind B. help C. force D. forbid
Section B (32%)
Directions: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.
A
One Friday morning, before Michael was leaving for work he told his wife that he had finally determined to ask his boss for a salary raise. All day Michael felt nervous and anxious as he thought about the upcoming showdown. What if Mr. Duncan refused to grant his request? Michael had worked so hard in the last 18 months and brought some great benefits to Braer and Hopkins Advertising Agency. Of course, he deserved a wage increase.
The thought of walking into Mr Duncan’s office left Michael weak in the knees. Late in the afternoon he was finally courageous enough to approach his superior. To his delight and surprise, the ever-frugal (一惯节省的) Rowland Duncan agreed to give Michael a raise!
Michael arrived home that evenin g—despite breaking all city and state limits—to a beautiful table set with their best china, and candles lit. His wife, Cassie, had prepared a delicate meal including his favourite dishes. Immediately he thought someone from the office had tipped her off!
Next to his plate Michael found a beautiful lettered note. It was from his wife. It read: “Congratulations, my love! I knew you’d get the raise! I prepared this dinner to show just how much I love you. I am so proud of your accomplishments!” He read it and stopped to think about how sensitive and caring Cassie was.
After dinner, Michael was on his way to the kitchen to get dessert when he observed that a second card had slipped out of Cassie’s pocket onto the floor. He bent forward to pick it up. It read: “Don’t worry about not getting the raise! You do deserve one! You are a wonderful provider and I prepared this dinner to show you just how much I love you even though you did not get the increase.”
Suddenly tears swelled in Michael’s eyes. Total acceptance! Cassie’s support for him was not conditional upon his success at work.
The fear of rejection is often softened and we can undergo almost any setback or rejection when we know someone loves us regardless of our success or failure.
76. What was Michael’s plan that Friday?
A. To find a job with the Braer and Hopkins Advertising Agency.
B. To ask for a wage increase from his boss.
C. To celebrate his success.
D. To ask his boss to come for dinner.
77. On his way back home, Michael __________.
A. felt weak in the knees
B. was punished by the traffic policeman
C. was too anxious to share the news with his wife
D. couldn’t wait to enjoy a meal
78. Which of the following statements about the story is FALSE?
A. Michael was afraid that his request would lead to a disaster.
B. Michael had worked very hard and done his part for the company.
C. Michael’s boss agreed to his request.
D. One of Michael’s colleagues had told his wife the good news.
79.According to the passage, which of the following can best describe Michael’s wife, Cassie?
A. Passionate, thoughtful and talented.
B. Considerate, generous and reliable.
C. Decisive, optimistic and energetic.
D. Caring, tolerant and supportive.
B
Suppose you’re in a rush, felling tired, not paying attention to your screen, and you send an email that could get you in trouble.
Realisation will probably set in seconds after you’ve clicked “send”. You freeze in horror and burn with shame.
What to do? Here are four common email accidents, and how to recover.
Clicking “send” too soon
Don’t waste your time trying to find out if the receivers has read it yet. Write another email as swiftly as you can and send it with a brief explaining that this is the correct version and the previous version should be ignored.
Writing the wrong name
The sooner you notice, the better. Respond quickly and briefly, apologizing for your mistake. Keep the tone measured: don’t handle it too lightly, as people can be offended, especially if your error suggests a misunderstanding of their culture(i.e. incorrect ordering of Chinese names).
Clicking “reply all” unintentionally
You accidentally reveal(透露)to the entire company what menu choices you would prefer at the staff Christmas dinner, or what holiday you’d like to take. In this instance, the best solution is to send a quick, light-hearted apology to explain your awkwardness. But it can quickly rise to something worse, when everyone starts hitting “reply all” to join in a long and unpleasant conversation. In this instance, step away from your keyboard to allow everyone to calm down.
Sending an offensive message to its subject
The most awkward email mistake is usually committed in anger. You write an unkind message about someone, intending to send it to a friend, but accidentally send it to the person you’re discussing. In that case, ask to speak in person as soon as possible and say sorry. Explain your frustrations calmly and sensibly—see it as an opportunity to clear up any difficulties you may have with this person.
80. After realising an email accident, you are likely to feel _______.
A. curious
B. tired
C. awful
D. funny
81. If you have written the wrong name in an email, it is best to ________.
A. apologise in a serious manner
B. tell the receiver to ignore the error
C. learn to write the name correctly
D. send a short notice to everyone
82. What should you do when an unpleasant conversation is started by your “reply all” email?
A. Try offering other choices.
B. Avoid further involvement.
C. Meet other staff members.
D. Make a light-hearted apology.
83. How should you deal with the problem caused by an offensive email?
A. By promising not to offend the receiver again.
B. By seeking support from the receiver’s friends.
C. By asking the receiver to control his anger.
D. By talking to the receiver face to face.
C
One windy spring day, I observed young people having fun using the wind to fly their kites. Multicolored creations of varying shapes and sizes filled the skies like beautiful birds racing and dancing. As the strong winds blew against the kites, a string kept them in check.
Instead of blowing away with the wind, they arose against it to achieve great heights. They shook and pulled, but the string and the tail kept them attached, facing upward and against the wind. The kites struggled and kept being dragged behind, facing upward and against the wind. As the kites struggled and trembled against the string, they seemed to say, “Let me go! Let me go! I want to be free!” They soared beautifully even as they fought the restriction of the string. Finally, one of the kites succeeded in breaking loose. “Free at last,” it seemed to say. “Free to fly with the wind.”
Yet freedom from restriction simply put it at the mercy of a cruel breeze. It flew ungracefully to the ground and landed in a messed mass of weeds and string against a dead bush. “Free at last”, free to lie powerless in the dirt, to be blown helplessly along the ground, and to stop lifeless against the first obstruction.
How much like kites we sometimes are. The heaven gives us misfortune and limitations, and rules to follow from which we can grow and gain strength. Restriction is a necessary companion to the winds of opposition. Some of us resist the rules so hard that we never soar to reach the heights we might have obtained. We keep part of the order and never rise high enough to get our tails off the ground.
Let us each rise to the great heights, recognizing that some of the restrictions that we may be annoyed at are actually the steadying force that helps us improve and achieve.
84. According to paragraph 2, “Let me go!” is said by _______.
A. the kite
B. the wind
C. the bird
D. the flyer
85. Which of the following words has the meaning closest to the underlined word “obstruction” in paragraph 3?
A. destruction
B. miracle
C. observation
D. obstacle
86. According to the writer, in what way is man similar to kites?
A. Man will never reach the desirable height unless he breaks some rules.
B. Man can be empowered by difficulties to go further and higher.
C. Man desires freedom but only a few will succeed.
D. Man is limited by his surroundings.
87. By telling the story of kite flying, the writer wants to share the lesson that _______.
A. rules are made to be broken
B. flying a kite involves skills and patience
C. sometimes difficulties can be potential blessings
D. it’s no use complaining about the difficulties we encounter
D
Massive rubbish dumps and sprawling landfills constitute one of the more uncomfortable impacts that humans have on wildlife. They have led some birds to give up on migration. Instead of flying thousands of miles in search of food, they make the waste sites their winter feeding grounds.
Researchers in Germany used miniature GPS tags to track the migrations of 70 white storks (鹳) from different sites across Europe and Asia during the first five months of their lives. While many birds travelled along well-known routes to warmer climates, others stopped short and spent the winter on landfills, feeding on food waste, and the multitudes of insects that thrive on the dumps.
In the short-term, the birds seem to benefit from overwintering(过冬) on rubbish dumps. Andrea Flack of the Max Planck Institute found that birds following traditional migration routes were more likely to die than German storks that flew only as far as northern Morocco, and spent the winter there on rubbish dumps. “For the birds it’s a very conveni ent way to get food. There are a lot of organic waste they can feed on,” said Flack. The meals are not particularly delicious, or even safe. Much of the waste is discarded(丢弃的) rotten meat, mixed in with other human debris such as plastic bags and old toys.
“It’s very risky. The birds can easily eat pieces of plastic or rubber bands and they can die,” said Flack. “And we don’t know about the long-term consequences. They might eat something poisonous and damage their health. We cannot estimate that yet.”
The scientists tracked white storks from different colonies in Europe and Africa. The Russian, Greek and Polish storks flew as far as South Africa, while those from Spain, Tunisia and Germany flew only as far as the Sahel.
Landfill sites on the Iberian peninsula have long attracted local white storks, but all of the Spanish birds tagged in the study flew across the Sahara desert to the western Sahel. Writing in the journal, the scientists describe how the storks from Germany were clearly affected by the presence of waste sites, with four out of six birds that survived for at least five months overwintering on rubbish dumps in northern Morocco, instead of migrating to the Sahel.
Flack said it was too early to know whether the benefits of plentiful food outweighed the risks of feeding on landfills. But that’s not the only uncertainty. Migrating birds affect ecosystems both at home and at their winter destinations, and disrupting the traditional routes could have unexpected side effects. White storks feed on locusts (蝗虫) and other insects that can become pests if their numbers get out of hand. “They provide a useful service,” said Flack.
88. What is the impact of rubbish dumps on wildlife?
A. They have forced white storks to search for safer winter shelters.
B. They have seriously polluted the places where birds spend winter.
C. They have accelerated the reproduction of some harmful insects.
D. They have changed the previous migration habits of certain birds.
89. What do we learn about birds following the traditional migration routes?
A. They can multiply at an accelerating rate.
B. They can better pull through the winter.
C. They help humans protect insects.
D. They are more likely to be at risk of dying.
90. What can be inferred about the Spanish birds tagged in the study?
A. They gradually lose the habit of migrating in winter.
B. They prefer rubbish dumps far away to those at home.
C. They are not attracted to the rubbish dumps on their migration routes.
D. They join the storks from Germany on rubbish dumps in Morocco.
91. What is scientists’ other concern about white storks feeding on landfills?
A. The potential harm to the ecosystem.
B. The genetic change in the stork species.
C. The spread of epidemics to their homeland.
D. The damaging effect on bio-diversity.
Section C (8%)
Directions: Complete the following passage by using the sentences given below. Each Sentence can be used only
enough have something in common: lack of self-control. Self-control is what gives us the capacity to say no to choices that are immediately satisfying but costly in the long term—a piece of chocolate cake (instead of an apple), that afternoon in front of the couch (instead of a visit to the gym). _________92___________ The problem of self-control has puzzled psychologists and behavioral scientists for decades. A great deal of research has identified situations in which self-control failures are likely to happen and tools to help people exercise better control. _________93___________These motivating incentives can increase our self-control, at least up to a point.
Entrepreneurs have also become interested in self-control, as is evident from the many diet and exercise apps and gadgets on the market. To take one notable example, on the commitment contract website https://www.doczj.com/doc/518343371.html,, users put down some money (say, $200) and state a goal they want to achieve (such as to lose ten pounds in a month). _________94___________ If they meet their goal, they earn their money back. If they don’t, they lose the money. Tools like https://www.doczj.com/doc/518343371.html, can be effective, but they are often difficult to implement. New research my colleagues and I conducted points to a different solution that may be easier to carry out: using rituals.
__________95__________ Players in all sorts of sports have rituals that involve actions such as eating the same foods in exactly the same order before a game. From the way some prepare their coffee to the way people celebrate important life events, like weddings or graduations, rituals are a part of our daily life. And though they may seem useless, or even silly, research has found that rituals are powerful.
IV. Translation (20%)
Directions: Translate the following sentences into English, using the words given in the brackets.
1.晚上别喝太多的咖啡，会睡不着觉的。(or)
2.经常换工作和住所的人常常没有安全感并且缺乏责任心。（who）
3. 居民们都希望有朝一日能更方便地享受图书馆的优质服务。（access）
4. 他昨天在表演时的脸部表情和手势动作给评委和专家留下了深刻的印象。（impress）
5.游客被要求出发前一个月申请签证，这保证了行程如期开始。（guarantee; which）
201911月高一期中考试答案
I. 听力( 25分1-10 1分一题11-20 1.5分一题)
1-5 BBDDC 6-10 BADDD 11-13 BAB 14-16 DBD 17-20 ADDD
II. 语法(30分1.5分一题)
21. will miss 22. is thought 23. had lost 24. would ban 25. has been praised 26. to fly 27. expressing 28. to be raised 29. being fined 30. to have left
31. has set 32. goes 33. is completed 34. separates 35. to start 36. seen
37. planning 38. will benefit 39. were threatened 40. will be damaged
词汇(20分1分一题)
41-50 D BC A B CD AD C BD ABC AC
51-60 CD BD B D ABC A C BC AC AD
III.
完型填空(15分1分一题)
61-75 ABDAC BDCCB ADDAB
阅读理解(40分2分一题)
76-79 BCDD
80-83 CABD
84-87 ADBC
88-91 DDCA
92-95 B AC AB C
IV. 翻译(20分4分一句)
1. 晚上别喝太多的咖啡，会睡不着觉的。(or)
Don’t drink too much coffee at night, or you won’t be able to fall asleep.
2.经常换工作和住所的人常常没有安全感并且缺乏责任心。（who）
People who often change jobs and living places often lack a sense of security and a sense of responsibility.
3. 居民们都希望有朝一日能更方便地享受图书馆的优质服务。（access）
The residents all hope that they will have easier access to the quality service of libraries one day.
4. 他昨天在表演时的脸部表情和手势动作给评委和专家留下了深刻的印象。（impress）
His facial expressions and gestures in the performance yesterday greatly impressed the judges and the experts.
6.游客被要求出发前一个月申请签证，这保证了行程如期开始。（guarantee; which）
Visitors were required to apply for a visa one month before departure, which guaranteed the trip started on schedule.
上海中学 2019-2020 学年高一下期中考试 一、填空题（每空3分,共30分） 1.已知点A (2,-1)在角α的终边上,则sin α=__________. 2.函数sin(2)y x π=+的最小正周期是________. 3．一个扇形半径是2,圆心角的弧度数是2,则此扇形的面积是________. 4.已知函数[]()sin (0,)f x x x π=∈和函数1()tan 2 g x x = 的图像交于A 、B 、C 三点,则△ABC 的面积为________. 5.在平面直角坐标系xoy 中,角α与角β都以x 轴正半轴为始边，它们的终边关于y 轴对称.若1sin 3 α= ,则cos()αβ-=__________.6.已知3sin()45x π-=,则sin 2x =__________.7.设(),0,x y π∈，且满足2222sin cos cos cos sin sin 1sin() x x x y x y x y -+-=+，则x y -=_____.8.我国古代数学家秦九韶在《数学九章》中记述了“三斜求积术”,用现代式子表示即为：在△ABC 中，A ∠、B ∠、C ∠的对边分别是a 、b 、,c 则△ABC 的面积 S =.根据此公式，若cos (3)cos 0a B b c A ++=,且2222a b c +-=,则△ABC 的面积为_______. 9.若函数()2sin(2)1()6f x x a a R π=++-∈在区间0,2π?????? 上有两个不同的零点12,x x ,则12x x a +-的取值范围是__________. 10.已知函数sin ()cos m f ααα-=在(0,2 π上单调递减,则实数m 的取值范围是________.二、选择题（每题4分,共24分） 1.已知cos ,(1,1),(,)2k k π ααπ=∈-∈,则sin()πα+=() A. B. C. D.1k -
【全国百强校】上海市七宝中学2019届高三上学期 期中考试数学试题 学校_________ 班级__________ 姓名__________ 学号__________ 一、填空题 1. 集合的真子集有________个 2. 设全集，，，则图中阴影部分所表示的集合是________（用区间表示） 3. 命题“若实数、满足，则或”是________命题（填“真”或“假”） 4. 某个时钟时针长6，则在本场考试时间内，该时针扫过的面积是 ________ 5. 函数是奇函数，则实数的值为________ 6. 函数在上单调递增，则实数的取值范围为________ 7. 在△中，角、、所对的边分别为、、，若，，，则△的面积为________ 8. 已知函数，则的解集是________
9. 若关于的不等式在上恒成立，则正实数的取值范围为________ 10. 已知常数，函数的图象经过点， ．若，则______． 11. 已知函数，若，则 的最大值是________ 12. 已知函数，如果函数恰有三个不同的零点，那么实数的取值范围是________ 二、单选题 13. “函数存在反函数”是“函数在上为增函数”的（）A．充分而不必要条件B．必要而不充分条件 C．充分必要条件D．既不充分也不必要条件 14. 若函数的反函数为，则函数与的图象可能是 A．B．C．D． 15. 在△中，角、、所对的边分别为、、，给出四个命题：（1）若，则△为等腰三角形； （2）若，则△为直角三角形； （3）若，则△为等腰直角三角形；
（4）若，则△为正三角形； 以上正确命题的个数是（） A．1 B．2 C．3 D．4 16. 是定义在上的函数，且，若的图像绕原点逆时针旋转 后与原图像重合，则在以下各项中，的可能取值只能是（）A．0 B．1 C．2 D．3 三、解答题 17. 已知锐角和钝角的终边分别与单位圆交于、两点，其中点坐标 . （1）求的值； （2）若，求点坐标. 18. 如图，某公园有三个警卫室、、有直道相连，千米，千米，千米. （1）保安甲沿从警卫室出发行至点处，此时，求的直线距离；（2）保安甲沿从警卫室出发前往警卫室，同时保安乙沿从警卫室出发 前往警卫室，甲的速度为1千米/小时，乙的速度为2千米/小时，若甲乙两人通过对讲机联系，对讲机在公园内的最大通话距离不超过3千米，试问有多 长时间两人不能通话？（精确到0.01小时） 19. 问题：正数、满足，求的最小值. 其中一种解法是：，当且仅当
微信号：JW2215874840或ross950715或Soulzbb 上海中学 2019-2020 学年高一下期中考试 一、填空题（每空3分,共30分） 1.已知点A (2,-1)在角α的终边上,则sin α=__________. 2.函数sin(2)y x π=+的最小正周期是________. 3．一个扇形半径是2,圆心角的弧度数是2,则此扇形的面积是________. 4.已知函数[]()sin (0,)f x x x π=∈和函数1()tan 2 g x x = 的图像交于A 、B 、C 三点,则△ABC 的面积为________. 5.在平面直角坐标系xoy 中,角α与角β都以x 轴正半轴为始边，它们的终边关于y 轴对称.若1sin 3 α= ,则cos()αβ-=__________.6.已知3sin()45x π-=,则sin 2x =__________.7.设(),0,x y π∈，且满足2222sin cos cos cos sin sin 1sin() x x x y x y x y -+-=+，则x y -=_____.8.我国古代数学家秦九韶在《数学九章》中记述了“三斜求积术”,用现代式子表示即为：在△ABC 中，A ∠、B ∠、C ∠的对边分别是a 、b 、,c 则△ABC 的面积 S =.根据此公式，若cos (3)cos 0a B b c A ++=,且2222a b c +-=,则△ABC 的面积为_______. 9.若函数()2sin(2)1()6f x x a a R π=++-∈在区间0,2π?????? 上有两个不同的零点12,x x ,则12x x a +-的取值范围是__________. 10.已知函数sin ()cos m f ααα-=在(0,2 π上单调递减,则实数m 的取值范围是________.二、选择题（每题4分,共24分） 1.已知cos ,(1,1),(,)2k k πααπ=∈-∈,则sin()πα+=( ) A. C. D.1k -
1 2016学年第一学期七宝中学高一新生入学摸底考试数学试卷 一、选择题（每小题有仅一个正确答案，每题 3 分） 1. 已知0a b ，则下列不等式不一定成立的是（ ）． （A ）2ab b （B ）a c b c （C ） 11 a b （D ）ac bc 2. 若不等式组21 13 x x a 的解集为2x ，则a 的取值范围是（ ）． （A ）2a （B ）2a （C ）2a （D ）2a 3. 若11,2M y ，21,4N y ，31,2P y 三点都在函数k y x （0k ）的图像上，则123 y y y 、、的大小关系为（ ）． （A ）213y y y （B ）231y y y （C ）312y y y （D ）321y y y 4. 已知22y x 的图像是抛物线，若抛物线不动，把 x 轴、 y 轴分别向上、向右平移 2 个单位， 那么在新坐标系下抛物线的解析式是（ ）． （A ） 2 222y x （B ） 2 222y x （C ） 2222y x （D ） 2 222y x 5. 中央电视台“幸运 52”栏目中的“百宝箱”互动环节，是一种竞猜游戏，游戏规则如下：在 20个商标中，有 5 个商标牌的 背面注明了一定的奖金额，其余商标的背面是一张苦脸，若翻到它就不得奖、参加这个游戏的观众有三次翻牌的机会．某观众前两次翻牌均得若干奖金，如果翻过的牌不能再翻，那么这位观众第三次翻牌获奖的概率是（ ）． （A ）14 （B ）16 （C ）15 （D ）3 20 6. 将水匀速注入一个容器，时间（t ）与容器水位（h ）的关系如图所示，则容器的形状是（ ）． （A ） （B ） （C ） （D ）
七宝中学高三月考数学卷 2016.10 一. 填空题 1. 已知函数()f x 的定义域是[1,2]-，则()()y f x f x =+-的定义域是 2. 若25x y -<<<，则x y -的取值范围是 3. 锐角△ABC 中，角,A B 所对的边长分别为,a b ，若2sin a B b =，则A = 4. 二项式921()x x -的展开式中常数项为 (结果用数值表示) 5. 若函数cos(2)y x ?=+(||)2π?<的图像关于点4(,0)3 π中心对称，则?= 6. 若12 2log (42)0ax x a -+-<对任意x R ∈恒成立，则实数a 的取值范围是 7. 已知0x >，0y >，1211 x y +=+，则x y +的最小值为 8. 已知向量AB 与AC 的夹角为120，且||2AB =，||3AC =，若AP AB AC λ=+， 且AP BC ⊥，则实数λ的值为 9. 某微信群中甲、乙、丙、丁、戊五名成员先后抢4个不相同的红包，每人最多抢一个红 包，且红包全被抢光，则甲乙两人都抢到红包的情况有 种 10. 设函数()min{||,||}f x x x t =+的图像关于 直线3x =-对称，其中min{,}a b 表示,a b 中的 最小值，则实数t = 11. 右侧程序框图的运行结果：S = 12. 已知函数1,0()42,0 x x x x f x x --?+>?=?-≤??，若函数 (32)y f x a =--恰有三个不同的零点，则实 数a 的取值范围是 13. 等差数列{}n a 的前n 项和为n S ，已知31819992017(1)2016(5)sin()3a a π-+-=-， 31999182017(5)2016(1)cos()6 a a π-+-=-，则2016S = 14. 正方体1111D C B A ABCD -的棱长为3，以顶点A 为球心，2为半径作一个球，则球面与正方体的表面相交所得到的所有弧长之和等于
七宝中学高一期末数学试卷 2019.06 一. 填空题 1. 计算：21lim 33 n n n →∞-=+ 2. 已知数列{}n a 是等差数列，如果15a =，22a =，那么3a = 3. 已知数列{}n a 是正实数组成的等比数列，如果41a =，816a =，则q = 4. 已知等差数列{}n a 前10项和为20，则14710a a a a +++= 5. 等比数列{}n a 中，121a a +=，5616a a +=，则910a a += 6. 如果无穷递缩等比数列{}n a 所有奇数项的和等于所有项和的5倍，则公比q = 7. 已知等比数列{}n a 为单调递增数列，设其前n 项和为n S ，若22a =，37S =，则5a 的值 为 8. 若数列{}n a 满足1120212112n n n n n a a a a a +?≤≤??=??-≤
2018-2019学年上海市上海中学高一下期中考试数学试题 一、单选题 1．若则在 A．第一象限B．第二象限C．第三象限D．第四象限 【答案】D 【解析】根据三角函数值在各个象限的正负，判断出角的终边所在的象限. 【详解】 由于，故角为第一、第四象限角.由于，故角为第二、第四象限角.所以角为第四象限角.故选D. 【点睛】 本小题主要考查三角函数值在各个象限的正负值，根据正切值和余弦值同时满足的象限得出正确选项. 2．函数的部分图像如图,则可以取的一组值是 A．B． C．D． 【答案】C 【解析】试题分析：∵，∴，，又由得. 3．在△ABC中,分别为三个内角A、B、C的对边,若则△ABC的形状是A．等腰三角形B．直角三角形 C．等腰直角三角形D．等腰或直角三角形 【答案】D 【解析】利用正弦定理化简得：，再利用二倍角公式整理得： ，解三角方程即可得解。 【详解】
由正弦定理化简得：, 整理得：，所以 又，所以或. 所以或. 故选：D 【点睛】 本题主要考查了正弦定理及三角恒等变换，还考查了正弦的二倍角公式及三角函数的性质，属于中档题。 二、填空题 4．函数的最小正周期是_________. 【答案】 【解析】直接由周期公式得解。 【详解】 函数的最小正周期是： 故填： 【点睛】 本题主要考查了的周期公式，属于基础题。 5．已知点P在角的终边上,则_______. 【答案】0 【解析】求出到原点的距离，利用三角函数定义得解。 【详解】 设到原点的距离，则 所以，， 所以 【点睛】 本题主要考查了三角函数定义，考查计算能力，属于基础题。 6．已知扇形的周长为10 cm，面积为4 cm2，则扇形的圆心角α的弧度数为__________．
2019年上海市闵行区七宝中学高考数学一模试卷 一、选择题（本大题共4小题） 1.设集合P1={x|x2+ax+1＞0}，P2={x|x2+ax+2＞0}，其中a∈R，下列说法正确的是（） A. 对任意a，P1是P2的子集 B. 对任意a，P1不是P2的子集 C. 存在a，使得P1不是P2的子集 D. 存在a，使得P2是P1的子集 【答案】A 【解析】 【分析】 由不等式的性质得：由x2+ax+1＞0，则有x2+ax+2=x2+ax+1+1＞0+1＞0，由x2+ax+2＞0，不能推出x2+ax+1＞0，由集合间的关系得：P1P2，得解． 【详解】解：由x2+ax+1＞0，则有x2+ax+2=x2+ax+1+1＞0+1＞0， 由x2+ax+2＞0，则有x2+ax+1=x2+ax+2-1＞-1，不能推出x2+ax+1＞0， 即P1P2， 故选：A． 【点睛】本题考查了集合间的关系，不等式的性质，属简单题． 2.△ABC中，a2：b2=tan A：tan B，则△ABC一定是（） A. 等腰三角形 B. 直角三角形 C. 等腰直角三角形 D. 等腰或直角三角形 【答案】D 【解析】 【分析】 由已知a2：b2=tan A：tan B，利用正弦定理及同角基本关系对式子进行化简，然后结合二倍角公式在进行化简即可判断. 【详解】解：∵a2：b2=tan A：tan B， 由正弦定理可得， ∵sin A sin B≠0 ∴
∵sin A cosA=sin B cosB即sin2A=sin2B ∵2A=2B或2A+2B=π ∵A=B或A+B=，即三角形为等腰或直角三角形 故选：D． 【点睛】本题考查同角三角函数的基本关系，正弦定理的应用，式子变形是解题的关键和难点． 3.抛物线y=2x2上有一动弦AB，中点为M，且弦AB的长度为3，则点M的纵坐标的最小值为（） A. B. C. D. 1 【答案】A 【解析】 【分析】 由题意设，，直线的方程为，代入抛物线方程，写出韦达定理关系式及弦长 与点的纵坐标关系式，通过基本不等式确定最小值. 【详解】由题意设，，，直线的方程为， 联立方程，整理得 ，∵∵ 点M的纵坐标∵ 弦的长度为 ，即 ∵ 整理得，即 根据基本不等式∵，当且仅当∵时取等，即∵ ∵点的纵坐标的最小值为. 故选A. 【点睛】本题考查直线与抛物线位置关系，考查基本不等式在圆锥曲线综合问题中的应用∵解题时要认真审题，注意等价转化思想的合理运用.
七宝中学高一第一学期物理期末测试卷 （考试时间60分钟，满分80分） 命题：邓雪冰审核：李波 考生注意：计算器解答要求写出必要的文字说明、计算式和主要的演算步骤．只写出最后答案，未写出主要演算过程的，不能得分．本卷g取2 10m/s． Ⅰ卷（共50分） 一、单项选择题（共8小题．每小题2分，共16分，每小题只有一个正确的选项）1．可以用来测量国际单位制规定的三个力学基本物理量的仪器是（） A．米尺、弹簧秤、秒表B．米尺、弹簧秤、光电门 C．量筒、天平、秒表D．米尺、天平、秒表 2．关于惯性的大小，下列叙述正确的是（） A．两个质量相同的物体，在阻力相同的情况下，速度大的不容易停下来，所以速度大的物体惯性大 B．两个质量相同的物体，不论速度大小，它们的惯性的大小一定相同 C．推动地面上静止的物体，要比维持这个物体做匀速运动所需的力大，所以物体静止时惯性大 D．在月球上举重比在地球上容易，所以质量相同的物体在月球上比地球上惯性小 3．关于两个大小不变的共点力与其合力的关系，下列说法正确的是（） A．合力大小随两力夹角增大而增大 B．合力的大小一定大于分力中最大者 C．两个分力夹角小于180 时，合力大小随夹角减小而增大 D．合力的大小不能小于分力中最小者 4．一个物体从离地某一高度作自由落体运动，已知它第1s内的位移为它最后1s内位移的一10m/s，则它开始下落时相距地面的高度为（） 半，g取2 A．5m B．11.25m C．20m D．31.25m 5．如图所示，用水平力F把铁块压紧在竖直墙上不动，那么，当F增大时（设铁块对墙的压力为N，物体受墙的摩擦力为f）下列说法正确的是（） A．N增大，f不变 B．N增大，f增大 C．N变小，f不变
上海市徐汇中学2018-2019学年高一物理下学期期中试题 一、单项选择题 1.匀速圆周运动是一种( ) A. 匀速运动 B. 匀加速运动 C. 匀加速曲线运动 D. 变加速曲线运动 【答案】D 【解析】 匀速圆周运动加速度始终指向圆心，方向时刻在变化，加速度是变化的，是变加速曲线运动，故D 正确，ABC 错误。 2.由于地球自转，地球表面上的物体都随地球一起作匀速圆周运动，将地球视为球体，如图所示， a 、b 两处物体运动的（ ） A. 线速度相同 B. 角速度相同 C. 线速度不同，且v a ＞v b D. 角速度不同，且 a ＜ b 【答案】B 【解析】 a 、 b 两处物体随地球自转一起作匀速圆周运动，则a b ωω=，又因为两者转动的半径a b r r <，据v r ω=可得：a b v v <。 故B 项正确。 点睛：同轴传动：被动轮和主动轮的中心在同一根转轴上，主动轮转动使轴转动进而带动从动轮转动，两轮等转速及角速度。皮带传动：两转轮在同一平面上，皮带绷紧与两轮相切，主动轮转动使皮带动进而使从动轮转动，两轮边缘线速度相等。
3.匀速圆周运动中，线速度v 、角速度ω、周期T 、半径R 之间的关系，正确的是（ ） A. ω=vR B. ω=2πT C. v =ωR D. 1 T ω = 【答案】C 【解析】 【详解】根据角速度定义： 2t T θ πω= = 线速度定义： 2s R v t T π= = 可知： v R ω= v R ω= 2T π ω = A ．ω=vR ，与分析不符，故A 错误； B ．ω=2πT ，与分析不符，故B 错误； C ．v =ωR ，与分析相符，故C 正确； D ．1 T ω =，与分析不符，故D 错误。 4.如图所示，弹簧振子在B 、C 两点间做无摩擦的往复运动，O 是振子的平衡位置．则振子( ) A. 从B 向O 运动过程中速度一直变小 B. 从O 向C 运动过程中速度一直变小 C. 从B 经过O 向C 运动过程中速度一直变小 D. 从C 经过O 向B 运动过程中速度一直变小 【答案】B 【解析】
2018年七宝中学高一下开学考试卷 2018.03 一. 填空题 1. 函数()lg(23)x x f x =-的定义域为 2. 已知集合{1,0,}A a =-，{||1|1}B x x =-<，若A B ≠?，则实数a 的取值范围是 3. 函数2 1 46 y x x = -+的值域为 4. 不等式33(1log )(log )0x a x +->的解集是1(,9)3 ，则实数a 的值为 5. 若函数()f x 的图像过点(1,2)，则1 ()1f x --的图像经过点 6. 设m R ∈，若43 ()(1)1f x m x mx =+++是偶函数，则()f x 的单调递减区间是 7. 关于x 的方程9(4)310x x a ++?+=有实数解，则实数a 的取值范围为 8. 已知函数1 ()ln(1) 1 a x f x x x ?≥? =? -且1a ≠，b R ∈），()1 g x x =+，若对任意实数x 均有 ()()0f x g x ?≤，则有 13 a b +的最小值为 11. 211 {|,1}k A y y kx x kx k ==+ ≤≤，其中2,3,,2018k =???，则所有k A 的交集为 12. 设单调函数()y p x =的定义域为D ，值域为A ，如果单调函数()y q x =的值域是 D ， 函数(())y p q x =的值域是A ，则称函数()y q x =是函数()y p x =的一个“保值域函数”， 已知定义域为[,]a b 的函数2 ()|3| h x x = -，函数()f x 与()g x 互为反函数，且()h x 是 ()f x 的一个“保值域函数”， ()g x 是()h x 的一个“保值域函数”，则b a -=
2020届上海市七宝中学高三三模数学试题 注意事项： 1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上 第I 卷（选择题） 请点击修改第I 卷的文字说明 一、单选题 1．设a 、b 分别是直线a 、b 的方向向量，则“a ∥b ”是“a ∥b ”的（ ） A ．充分非必要条件 B ．必要非充分条件 C ．充要条件 D ．既非充分又非必要条件 2．某学校有2500名学生，其中高一600人，高二800人，高三1100人，为了了解学生的身体健康状况，采用分层抽样的方法，若从本校学生中抽取100人，从高一和高二抽取样本本数分别为a 、b ，且直线480ax by ++=与以(1,1)A -为圆心的圆交于B 、 C 两点，且120BAC ∠=?，则圆C 的方程为（ ） A ．22(1)(1)1x y -++= B ．22(1)(1)9x y -++= C ．22(1)(1)4x y -++= D ．22(1)(1)3x y -++= 3．函数2cos(2)26 y x π =+ -的图像按向量a 平移后所得图像的函数解析式为 ()y f x =，当函数()f x 为奇函数时，向量a 可以等于（ ） A ．(,26 )π - B ．(),26 π - C ．( 212 ,)π - D ．()212 ,π - 4．已知F 为抛物线2 4y x =的焦点，A 、B 、C 为抛物线上三点， 当0FA FB FC ++=时，则存在横坐标2x >的点A 、B 、C 有（ ） A ．0个 B ．2个 C ．有限个，但多于2个 D ．无限多个 第II 卷（非选择题）
上海市七宝中学2018-2019学年高一上学期10月月 考数学试题 学校_________ 班级__________ 姓名__________ 学号__________ 一、填空题 1. 不等式的解集为________； 2. 已知集合，，则_________. 3. 设，则是成立的________条件； 4. 不等式的解集为________； 5. 已知集合，，若，则实数a的取值范围是____________. 6. 已知，若，则或”是_______命题（填“真”或“假”）. 7. 关于的不等式的解集为，则实数的取值范围是 __________ 8. 已知，，若，则实数的取值范围是________； 9. 已知关于的不等式有解，则实数的取值范围是 ________；
10. 已知关于的方程的两个根，，且在区间上恰好有两个正整数解，则实数的取值范围是________. 11. 定义区间，，，的长度均为，多个区间并集的长度为各区间长度之和，例如的长度，设，，其中表示不超过的最大整数， ．若用表示不等式解集区间的长度，则当 时，________； 12. 对于集合，定义函数，对于两个集合，，定义集合．已知，，用 表示有限集合中的元素个数，则对于任意集合，的最小值为________； 二、单选题 13. 已知为非零实数，且，则下列命题成立的是 A．B． C．D． 14. 设集合A=若A B,则实数a,b必满足 A．B． C．D． 15. 已知函数，且，，集合 ，则下列结论中正确的是（） A．任意，都有B．任意，都有 C．存在，都有D．存在，都有
16. 设，，.记集合，，若、分别表示集合，的元素个数，则下列结论不可能的是（） A．，B．， C．，D．， 三、解答题 17. 已知关于的不等式：． （1）当时，求此不等式的解集； （2）当时，求此不等式的解集． 18. 命题甲：关于的方程有两个相异负根；命题乙：不等式 对恒成立． （1）若这两个命题至少有一个成立，求实数的取值范围； （2）若这两个命题有且仅有一个成立，求实数的取值范围． 19. 若存在满足下列三个条件的集合，，，则称偶数为“萌数”： ①集合，，为集合的个非空子集，，，两两之间的交集为空集，且；②集合中的所有数均为奇数，集合中的所有数均为偶数，所有的倍数都在集合中；③集合，，所有元素的 和分别为，，，且．注：． （1）判断：是否为“萌数”？若为“萌数”，写出符合条件的集合，，，若不是“萌数”，说明理由． （2）证明：“”是“偶数为萌数”成立的必要条件． 20. 已知集合，． （1）求集合； （2）若，求实数的取值范围； （3）若，求实数的取值范围；
上海市2018-2019学年上南中学高一上学期数学期中考试 数学学科 试卷 命题人：数学命题组 一、填空题（每小题3分，共36分） 1.满足条件{}{}11,2,3B ??的集合B 有____________个 2.已知集合{}1A x x =≤，集合{}B x x a =≥，且A B R = ，则a 的取值范围为_____ 3.原命题P 为“若3x ≠且4x ≠，则27120x x -+≠”，则P 的逆否命题为_________ 4.已知函数()()() 200x x f x x x ?>?=?-≤??，则()()2f f -的值为____________ 5.若1x >，则11 x x +-的最小值是_________________ 6.若函数()[]()3,,11f x x b x a a =+∈<是奇函数，则a b +的值为____________ 7.不等式11x ≤的解集为_______________ 8.已知()(),f x g x 分别是定义在R 上的偶函数和奇函数，且()()321f x g x x x -=++，则()()11f g +=______________ 9.已知集合{}{} 21,A y y x B x y x ==+==，则A B = ______________ 10.已知函数()()2f x x g x x ==-，则和函数()()f x g x +=________ 11.已知命题P ：“1a ≠或2b ≠”，Q ：“3a b +≠”，则P 是Q 成立的____________ 12.定义：关于x 的不等式(),0x A B A R B -<∈>的解集称为A 的B 邻域。若3a b +-的a b +的邻域是()3,3-，则22a b +的最小值为______________ 二、选择题（每小题3分，共12分） 13.设a b m R ∈、、，则“ma mb =”是“a b =”的（ ） A.充分非必要条件 B.必要非充分条件 C.充要条件 D.既非充分又非必要条件 14.下列四组函数中，表示同一个函数的是（ ） A.()()2,f x x g x == B.()()f x g x C.()(),f x x g x = D.()()21,11 x f x g x x x -==-+
2019-2020年上海市七宝中学高一上期中 一. 填空题 1. 已知集合，，且，则实数的取值范围是{|2019}A x x =≤{|}B x x a =>A B =R U a 2. 若集合，，若，则实数 {1,3}M =-2{3,21,2}N a a a =-++{3}M N =-I a =3. 命题“若不为零，则、都不为零”的否命题是 a b ?a b 4. 科技节期间，高一年级的某同学发明了一个魔术盒，当任意实数对进入其中时，会(,)a b 得到一个新的实数：，如把放入其中，就会得到，现将21a b +-(3,2)-23(2)13?+--=实数对放入其中，得到实数，则 (,3)m m -9-m =5. 设函数，若，则 211()211 x x f x x x ?+≤=?+>?0()3f x =0x = 6. 已知函数，则 () f x =() g x =()()f x g x ?=7. 已知不等式的解集中有且只有5个整数，则实数的取值范围是 |1|x m -
2020-2021年七宝中学高三期中考数学试卷 一、填空题 1.已知全集U R =，集合{} 12A x x =->，则U C A =_________. 2.若函数2()(4)4,(5)f x x x =-+≥，则1 (5)f -=_________. 3. () 2 14732lim n n n →∞ +++ +-=_________. 4.已知数列{}n a 为等差数列，且191,25a a ==-，则5a =_________. 5.设函数2 ()41f x x mx =-+在(],2-∞上是减函数，则实数的取值范围是_________. 6.已知222a b +=，则a b +的取值范围是_________. 7.若函数()2sin sin 2f x x x =-在区间[]0,a 上的零点个数为3个，则实数a 的取值范围是_________. 8.已知两变量x 、y 之间的关系为lg()lg lg y x y x -=-，则以x 为自变量的函数y 的最小值是_________. 9.已知函数()x f x a b =-（0a >且1,a b R ≠∈），()1 g x x =+若对任意实数x 均有()()0f x g x ?≤，则 14 a b +的最小值为_________. 10.设函数()sin()(0,0)6 f x A x A π ωω=- >>，[]0,2x π∈若()f x 恰有4个零点，则下述结论中：① 0()()f x f x ≥恒成立，则0x 的值有且仅有2个；②存在0ω>，使得()f x 在80,19π?? ???? 上单调递增；③方 程1 ()2 f x A = 一定有4个实数根，其中真命题的序号为_________. 11.函数11 ()22 f x x =- ≤≤的图像绕着原点旋转弧度θ(0)θπ≤≤，若得到的图像仍是函数图像，则θ可取值的集合为_________.
【市级联考】上海市七宝中学2018-2019学年高一 上学期数学期中考试 学校_________ 班级__________ 姓名__________ 学号__________ 一、填空题 1. 函数的定义域为________ 2. 已知集合，，则________ 3. 不等式的解集是________ 4. “若且，则”的否命题是__________________． 5. 已知，则的取值范围是________ 6. 若，，且，则的取值范围是_ 7. 若关于的不等式对一切实数都成立，则实数a 的取值范围是_________________． 8. 若函数，则________ 9. 若关于的不等式在上恒成立，则实数的最小值是__
10. 已知函数，（），若不存在实数使得和同时成立，则的取值范围是________ 11. 当时，可以得到不等式，，，由此可以推广为，则________ 12. 已知数集（，）具有性质：对任意、（），与两数中至少有一个属于集合，现给出以下四个命题：①数集具有性质；②数集具有性质；③若数集具有性质，则；④若数集 （）具有性质，则；其中真命题有________（填写序号） 二、单选题 13. 如图，为全集，、、是的三个子集，则阴影部分所表示的集合是（） A．B． C．D． 14. 下列各组函数中，表示同一函数的是（） A．与 B．与 C．与 D．（）与（）
15. “若a，b∈R＋，a2＋b2<1”是“ab＋1>a＋b”的( ) A．充要条件B．必要不充分条件 C．充分不必要条件D．既不充分也不必要条件 16. 汽车的“燃油效率”是指汽车每消耗1升汽油行驶的里程，下图描述了甲、乙、丙三辆汽车在不同速度下的燃油效率情况. 下列叙述中正确的是 （） A．消耗1升汽油，乙车最多可行驶5千米 B．以相同速度行驶相同路程，三辆车中，甲车消耗汽油最多 C．甲车以80千米/小时的速度行驶1小时，消耗10升汽油 D．某城市机动车最高限速80千米/小时. 相同条件下，在该市用丙车比用乙车更省油 三、解答题 17. 设集合，集合. （1）若“”是“”的必要条件，求实数的取值范围； （2）若中只有一个整数，求实数的取值范围. 18. 练习册第21页的题“，，求证：”除了用比较法证明外，还可以有如下证法： （当且仅当时等号成立），∴.
徐汇中学2018学年高一年级第二学期期中考试物理试卷 一、单项选择题 1.匀速圆周运动是一种( ) A. 匀速运动 B. 匀加速运动 C. 匀加速曲线运动 D. 变加速曲线运动 【答案】D 匀速圆周运动加速度始终指向圆心，方向时刻在变化，加速度是变化的，是变加速曲线运动，故D 正确，ABC 错误。 2.由于地球自转，地球表面上的物体都随地球一起作匀速圆周运动，将地球视为球体，如图所示， a 、b 两处物体运动的（ ） A. 线速度相同 B. 角速度相同 C. 线速度不同，且v a ＞v b D. 角速度不同，且ωa ＜ωb 【答案】B a 、 b 两处物体随地球自转一起作匀速圆周运动，则a b ωω=，又因为两者转动的半径a b r r <，据v r ω=可得：a b v v <。 故B 项正确。 点睛：同轴传动：被动轮和主动轮的中心在同一根转轴上，主动轮转动使轴转动进而带动从动轮转动，两轮等转速及角速度。皮带传动：两转轮在同一平面上，皮带绷紧与两轮相切，主动轮转动使皮带动进而使从动轮转动，两轮边缘线速度相等。
3.匀速圆周运动中，线速度v 、角速度ω、周期T 、半径R 之间的关系，正确的是（ ） A. ω=vR B. ω=2πT C. v =ωR D. 1T ω= 【答案】C 【详解】根据角速度定义： 2t T θπ ω== 线速度定义： 2s R v t T π== 可知： v R ω= v R ω= 2T π ω= A ．ω=vR ，与分析不符，故A 错误； B ．ω=2πT ，与分析不符，故B 错误； C ．v =ωR ，与分析相符，故C 正确； D ．1 T ω=，与分析不符，故D 错误。 4.如图所示，弹簧振子在B 、C 两点间做无摩擦的往复运动，O 是振子的平衡位置．则振子( ) A. 从B 向O 运动过程中速度一直变小 B. 从O 向C 运动过程中速度一直变小 C. 从B 经过O 向C 运动过程中速度一直变小 D. 从C 经过O 向B 运动过程中速度一直变小 【答案】B
2019届上海市七宝中学高三上学期摸底考试数学试题 一、单选题 1．若,a b 为实数，则“01ab <<”是“1 b a <”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 【答案】D 【解析】【详解】 若“0＜ab ＜1”，当a ，b 均小于0时，b ＞1a 即“0＜ab ＜1”?“b ＜1 a ”为假命题； 若“b ＜ 1a 当a ＜0时，ab ＞1，即“b ＜1a ”?“0＜ab ＜1”为假命题，综上“0＜ab ＜1”是“b ＜1 a ”的既不充分也不必要条件，故选D 2．若函数()2sin()f x x ω=在区间[,]54 ππ -上存在最小值2-,则非零实数ω的取值范围是（ ） A ．(,2]-∞- B ．[6,)+∞ C ．5(,2][,)2-∞-+∞U D ．15 (,][6,)2 -∞-+∞U 【答案】C 【解析】先根据x 的范围求出x ω的范围,根据函数()f x 在区间[,]54 ππ -上存在最小值2-,然后对ω大于 0和小于0两种情况讨论最值,即可求得非零实数ω的取值范围. 【详解】 Q 函数()2sin()f x x ω=在区间[,]54 ππ - ①当0>ω时,,54x ππωωω?? ∈- ??? ? Q 函数()2sin()f x x ω=在区间[,]54 ππ -上存在最小值2- ∴ 5 2 π π ω- ≤- 可得:52 ω∴≥ ②当0ω<时,,4 5x π πωωω??∈-? ??? Q 函数()2sin()f x x ω=在区间[,]54 ππ -上存在最小值2- ∴ 4 2 π π ω≤- 可得:2ω≤-
上海市七宝中学2018-2019学年高一上学期数学期中考试试卷 一、单选题 1.如图，为全集，、、是的三个子集，则阴影部分所表示的集合是 （） A. B. C. D. 【答案】C 【考点】交、并、补集的混合运算 【解析】【解答】图中的阴影部分是：M∩P的子集， 不属于集合S，属于集合S的补集 即是C I S的子集则阴影部分所表示的集合是（M∩P）∩?I S 故答案为：C． 【分析】根据集合的运算结合韦恩图，即可确定阴影部分所表示的集合. 2.下列各组函数中，表示同一函数的是（） A. 与 B. 与 C. 与 D. （）与（） 【答案】D 【考点】判断两个函数是否为同一函数
【解析】【解答】对于A选项，，f（x）的定义域为R，g（x）的定义域为[0，+∞），∴不是同一函数； 对于B选项的定义域为 的定义域为∴不是同一函数；对于C选项，f（0）=-1，g（0）=1，f（0）≠g（0），∴不是同一函数． 对于B选项，f（x）的定义域为，g（x）的定义域为，且且两函数解析式化简后为同一解析式，∴是同一函数. 故答案为：D. 【分析】判断两个函数是否表示同一个，看定义域和对应关系是否相同即可. 3.已知，则“ ”是“ ”的（） A. 充分非必要条件 B. 必要非充分条 件 C. 充要条件 D. 既非充分又非必要条件 【答案】A 【考点】必要条件、充分条件与充要条件的判断 【解析】【解答】由题意可知：a，b∈R+，若“a2+b2＜1” 则a2+2ab+b2＜1+2ab+a2?b2， ∴（a+b）2＜（1+ab）2 ∴ab+1＞a+b． 若ab+1＞a+b，当a=b=2时，ab+1＞a+b成立，但a2+b2＜1不成立． 综上可知：“a2+b2＜1”是“ab+1＞a+b”的充分不必要条件． 故答案为：A． 【分析】根据不等式的性质，结合充分、必要条件的概念进行判断即可. 4.汽车的“燃油效率”是指汽车每消耗1升汽油行使的里程，下图描述了甲、乙、丙三辆汽车在不同速度下得燃油效率情况，下列叙述中正确的是（）