重庆外国语学校高2022级2019-2020学年上半期考试 试卷

重庆外国语学校2019-2020学年（上）半期考试数学试题一、选择题（本大题共12小题，每小题5分，共60分。

在每小题给出的四个备选项中，只有一项符合题目要求，把答案填写在答题卡相应位置上）1.已知集合{}1,2A =，{}1B =则下列关系正确的是（ ） A. B A <B. B A ∈C. B A ⊆D. A B ⊆2.已知函数2,1()2,1x x x f x x ⎧≤-=⎨>-⎩　，则((2))f f -=（ ）A. 4B. 8C. 16D. 323.下列函数中，既是奇函数又在区间()0,∞+上单调递增的是（ ） A .2log y x =B. 1y x -=C. 2xy =D. 3y x =4.已知函数()24xf x x =+-，则()f x 的零点所在的区间为（ ）.A. ()0,1B. ()1,2C. ()2,3D. ()3,45.函数()2()lg 31f x x =++的定义域为（ ） A. 1,13⎛⎤- ⎥⎝⎦B. 1,13⎡⎫-⎪⎢⎣⎭C. 1,13⎛⎫- ⎪⎝⎭D. 1,13⎡⎤-⎢⎥⎣⎦6.三个数20.320.3,log 0.3,2a b c === 之间大小关系是 ( )A. a c b <<B. a b c <<C. b c a <<D. b a c <<7.已知函数3()3f x ax bx =--，若()17f -=，则()1f =（ ）A. 7-B. 7C. 13-D. 138.已知函数()f x 对任意的，1x ，[]21,0x ∈-都有()()12120f x f x x x -<-，()f x 的图像关于1x =-对称、则下列结论正确的是（ ）A. ()14123f f f ⎛⎫⎛⎫-<-<- ⎪ ⎪⎝⎭⎝⎭B. ()41132f f f ⎛⎫⎛⎫-<-<- ⎪ ⎪⎝⎭⎝⎭ C. ()41132f f f ⎛⎫⎛⎫-<-<- ⎪ ⎪⎝⎭⎝⎭D. ()14123f f f ⎛⎫⎛⎫-<-<- ⎪ ⎪⎝⎭⎝⎭9.函数()log ()a f x x b =+大致图象如图所示，则函数()xg x a b =-图象可能是（ ）A. B.C. D.10.已知函数,1()(4)2,12x a x f x ax x ⎧>⎪=⎨-+≤⎪⎩是R 上的增函数，则实数a 的取值范围是 A. (1,8)B. (1,)+∞C. (4,8)D. [4,8)11.已知函数427()49f x x x =-+，则关于x的不等式(23)(1)f x f x -<-的解集为（ ）A. 3,4⎛⎫+∞⎪⎝⎭ B. 3,4⎛⎫-∞ ⎪⎝⎭C. 30,4⎡⎫⎪⎢⎣⎭D. 13,24⎛⎫⎪⎝⎭12.已知函数222,0()2ln ,0x x x f x x x ⎧++≤⎪=⎨->⎪⎩，若存在四个不同实数a ，b ，c ，d .使得()()()()f a f b f c f d ===，其中a b c d <<<，则ab cd e a b c d -⋅++++的取值范围是（）（e 是自然对数的底数，其值约为2.7） A. )2,1⎡⎣B. 22,2e e ⎡⎫+-⎪⎢⎣⎭C. 21,2e e ⎛⎫+- ⎪⎝⎭D. ()2,1二、填空题（本大题共4小题，每小题5分，共20分。

2022—2023学年上期高2023届高三线上检测历史试题一、选择题：本题共15小题，每小题3分，共45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.有观点认为，文明产生的标志是除政治组织上的国家外，还有城市作为政治、经济、文化各方面活动的中心，及已经发明文字(图一)和能够利用文字作记载，并且都已知道冶炼金属。

据此推知（）A.夏朝二里头文化是我国文明的开始B.甲骨文出现标志着我国文明已产生C.旧石器时代元谋人已开启文明时代D.新石器时代晚期我国进入文明社会2.孔子主张正名，即“君君、臣臣、父父、子子”，要求整个社会严格遵守等级尊卑的伦理纲常制度。

然而，他又高扬“有教无类”的教育思想，反对以出身贵贱作为判别人才的标准。

这表明孔子（）A.追求人人平等的理想B.重视教育对社会秩序的作用C.维护下层民众的利益D.倡导“因材施教”的教学方法3.“县官”一词源于《礼记·王制》天子居县内（王畿）、官天下的王制理论。

睡虎地秦简和里耶秦简中记载：秦国国君及其家室称为“公室”“王室”，秦始皇下令将“公室”“王室”的称号改为“县官”。

秦始皇此举旨在（）A.巩固统一的奴隶制国家B.凸显秦始皇及其皇室的地位C.恢复对王畿地区的统治D.加强对地方官僚机构的控制4.唐朝长期以来，紵布生产主要分布在长江中下游地区的淮南道、山南道、江南道；丝织业的生产中心则是河北道等地。

唐后期江南道紵布生产有所缩小，但其所产丝织绫得到许多人的追捧。

这说明（）A.手工业产品商品化不断提高B.人口迁徙促进手工业的传播C.区域经济发展逐渐得以平衡D.江南地区自然经济逐步瓦解5.北宋元丰二年（1079年），时御史何正臣等上表弹劾苏轼，奏苏轼移知湖州到任后谢恩的上表及其他一些诗文中，用语暗藏讽刺朝政、针砭新法内容。

此案中，苏轼险丧命牢狱，最后被贬黄州团练副使，这就是历史上的“乌台诗案”。

材料体现了（）A.“乌台诗案”开“文字狱”先河B.北宋王安石提倡的变法斗争激烈C.宋代“重文轻武”治国方略调整D.北宋专制主义中央集权不断强化6.下图为南宋刘松年所绘《中兴四将图》（局部），绘刘光世、韩世忠、张俊、岳飞全身立像，为南宋人物肖像画中的佳作。

2019-2020学年重庆外国语学校高三英语上学期期中试卷及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项ASongkran, ThailandThis festival marks the Thai New Year, which is celebrated in the second week of April. This is the hottest time of the year in Thailand, so it makes sense that the biggest Songkran tradition is to throw water on people. Thais of all ages join in water fights, using buckets, hoses (软管)and water guns to celebrate the event.Boryeong Mud Festival, South KoreaDon't expect to come home clean after experiencing the Boryeong Mud Festival in South Korea. Famous for its mineral-rich mudflats, visitors rush to Boryeong in July to make themselves in mud, swim in grey pools and enjoy the party. There are even mudslides and a mud skiing competition for those who are seeking the extreme mud adventure!La Tomatina, SpainThe festival dates back to a parade in which some naughty teenagers knocked one performer off his stilts (高跷)and caused a fight of throwing vegetables accidentally. It was once banned until 1957 when the locals held a protest with a funeral. They carried a coffin containing a huge tomato as bands played a funeral march. In the following decades, La Tomatina has become a popular event. If you join the event, be aware that you squash (压扁) the tomato before throwing it. Have a great time but avoid causing any injury.Dia de los Muertos, MexicoBeginning at the midnight of October 31 and lasting through November 2,it is a festival when families gather together to remember those loved ones who have died, aiming to help them on their spiritual journey. On these days, Mexican families prepare special tables in their homes. On top of them they'll put photos of the dead and their favorite food. They also visit the graves of their beloved ones to show their respect to the dead.1.If you want to experience a special new year in a country, you can choose to visit ________.A.ThailandB.South KoreaC.SpainD.Mexico2.What may happen to you as a visitor in La Tomatina?A.You can perform stilts.B.Your can play funeral music in bands.C.You may be covered with mud.D.You may be attacked with tomatoes.3.Which festival is similar to the Tomb Sweeping Festival in China?A.Songkran.B.Boryeong Mud Festival. Tomatina.D.Dia de los Muertos.BWhen you think of the icy Arctic Ocean, do you picture cold blue waters, on which float (漂浮) icebergs home to animals and fish not seen elsewhere on the planet? Think again, or rather add 300 billion pieces of plastic (塑料) to your picture. That's the amount of plastic that scientists believe is floating around the Arctic Ocean. Most of the plastic is in the area to the east of Greenland and north of Scandinavia.Where did it come from? After all, the lands near the Arctic are not really full of people. It turns out that ocean currents are carrying plastic thrown into the ocean all the way to the Arctic. An ocean current is an unending movement of sea water from one point to another. It is caused by several things including heat from the Sun, wind and movement of the Earth.Many of these plastic pieces seem to have travelled for years before reaching the Arctic. This was worked out by scientists studying the plastic problem after they observed the condition of the pieces. While much plastic floats on top of the water, a lot also may be on the sea floor.Plastic has been widely used for 60 years on Earth and our careless throwing of plastic things is slowly turning the once perfectly clean Arctic into a dangerous place. Unlike food waste and plant waste, plastic doesn't break down so easily. In fact the United States Environment Protection Organization reports that “every bit of plastic ever made still exists”.What's the effect? Seabirds, sea turtles and other ocean creatures could get hurt and die when they accidentallyswallowplastic. Plastic waste affects fishing, affecting people who earn money through fishing. Plastics can let out dangerous poisons (毒物) into the water. These may be swallowed by fish, and when these fish are caught and eaten by people or bigger animals, they could get poisoned too!4. What can we learn from the passage?A. The Arctic Ocean is heavily polluted.B. The plastic is mostlyin the area in the east of Greenland.C. An ocean current is just caused by the movement of the earth.D. Much more plastic floats on top of the water.5. Which of the following doesn't contribute to the plastic ocean?A. Humans throw away plastic things at will.B. Ocean currents carry plastic things everywhere.C. Plastic can let out harmful things into the water.D. Plastic is hard to break down.6. What does the underlined word “swallow” in the last Paragraph mean?A. Break down.B. Take in.C. Accept.D. Touch.7. What's the best title of the text?A. Are Men to Blame for Plastic Ocean?B. Arctic Ocean and Its Future!C. Is Plastic Harmful?D. Arctic Ocean or Plastic Ocean?CHumans have found an easy way to tell if others are lying. Recent research shows that the best way so far is being clever at how you ask questions and listen to the answers.Much of this research is based on the idea that telling a lie is simply harder mental work than telling the truth. Making up a story takes more effort than simply recording something that happened. And like a writer, a liar has to keep all the unreal details in his memory and sound believable when he explains them.One method that seems to work is asking them to tell their story in reverse order. This is harder when the story isn't true and makes it easier for you to tell they are lying. An even more basic way that helps is to just ask more questions, especially unexpected ones. Truth-tellers can easily find more to say, but it's a challenge for a liar to come up with something that's not in his prepared story.Researchers suggest that you shouldn't lay all your cards on the table at the start, but only gradually present what proof you have. The liars' stories may not agree with that proof, making it clear that they're lying.So it looks like there are ways to increase the chances of catching a liar; we've just been basing our methods on the wrong stories. Low-tech ways of causing people to make mistakes in conversation seem to work better than any science about eye movement or machines used to recognize a liar. To find a liar, watch less and listen more.8. Why does the author mention the writer?A. To show it's hard to make up lies.B. To show it's hard to recognise a liar.C. To show writers know liars best.D. To show writers are very clever.9. What do we know about liars?A. They often have much to say.B. They often ask many questions.C. They usually prepare a made-up story.D. They usually feel good about themselves.10. What advice is given to help people catch liars?A. Asking them to set their stories down.B. Presenting your proof one by one.C. Telling different stories to them.D. Letting them ask questions.11. Which can be the best title for the text?A. Why People LieB. How to Stop People LyingC. Low-tech Ways to Find a LiarD. LiarsAre Smarter than ThoughtDAs every mobile-phone owner knows, after a year or so the battery starts to fade and the beast needs recharging more frequently.That is troublesome, but a phone’s batteries can be replaced fairly cheaply — or the whole device traded in for the latest model. An electric car, though, is a much bigger investment. And batteries are its priciest component, representing around 30% of an average mid-size vehicle.To provide buyers with some peace of mind, carmakers guarantee their batteries, typically for eight years or around 200,000km. Producers, planning to go much further than that, though, are racing to launch “million mile”(1.6m kilometers) batteries. Contemporary Amperex Technology, a giant Chinese firm which produces batteries fora number of carmakers, was said to be ready to start producing batteries which would last for 16 years or 2m kilometres. Elon Musk has suggested that Tesla,a Californian maker of electric vehicles, has a million-mile battery in the works. And over in Detroit,General Motors is in the final stages of developing an advanced battery which it says has similar longevity (寿命)。

2019-2020学年重庆外国语学校高三英语上学期期中试卷及答案解析第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项ALast summer, Katie Steller pulled off the freeway on her way to work inMinneapolis. She stopped at a traffic light, where a man was sitting with a sign asking for help. She rolled down her window and shouted. “Hey. I’m driving around giving free haircuts. Do you want one right now?” The man laughed, then paused. “Actually,” he said, “I was really hoping to get a haircut.” Steller pulled out a red chair from her car and helped the man cut his hair immediately. After the work was done, the man looked in a mirror. “I look good!” he said.Up to now, Steller has given 30 or so such haircuts around the city to people with little influence, and she is strongly aware of the power of her cleanup job.As a teen, she suffered from a severe disease, causing her hair to get thinned, so her mother arranged for Steller’s first professional haircut. “To sit down and have somebody look at me and talk to me like a person and not just an illness, it helped me feel cared about and less alone,” she says. After that, Steller knew she wanted to have her own barbershop so she could help people feel the way she’d felt that day. Not long after finishing cosmetology (美容术) school in 2009, she began what she now calls her Red Chair Project, reaching out to people on the streets. Her aim was that by doing some kind acts, others would be inspired to spread their own.“Part of what broke my heart was just how lonely peoplelooked,” she said. “I thought maybe I’d go around and ask if people want free haircuts. I can’t fix their problems, but maybe I can help them feel less alone for a moment.”It all began with a belief in simple acts of kindness, such as a free haircut. “The way you show up in the world matters,” said Steller. “You have no idea what people are going to do with the kindness that you give them.”1. How does the writer begin the passage?A. By making a comparison.B. By giving a reason.C. By raising a question.D. By describing a scene.2. What made Stellar start the Red Chair Project?A. Her mother’s love for her.B. Her interest in cosmetology.C. Her care for those in need.D. Her wish to fight severe diseases.3. What did Stellar expect from the project?A. To spread kindness.B. To solve social problems.C. To deal with relationships.D. To make people look smarter.BScott and Daniel Harry are enjoying everyday tasks like shopping and washing for the first time following their move to an accommodation (住宿) support house in Kurwongbah, north of Brisbane last year.Disability Services Queensland’s Strengthening Non-Government Organisations project provided an accommodation support model that would enable residents (居住者) like Daniel and Scott to live more independently.The house is just one of many accommodation support services funded (资助)through the project. The five-bedroom house provides 24-hour care for up to four individuals with complex needs, including medical support. Care and staffing levels are varied and flexible, depending on each resident’s requirements.Scott and Daniel, who have a severe form of Duchenne Muscular Dystrophy, require 24-hour support in all activities of daily living. Before they moved to the house, they lived with their family. Scott says living at home was difficult as it placed a physical and emotional strain(负担) on their parents who had to wake them several times each night to reposition them or place them on breathing machines.“We were heavyhearted,” says Scott, who is planning to write a book about his life experiences. “But our parents now have a lot moretime for themselves. We now manage ourselves on a day-to-day basis.”Daniel is an enthusiastic gardener, taking care of his own vegetable garden. The men share the house with one other young man, and they go to rugby league games, meeting up with friends.Leeding Care Australia provides the care service at Kurwongbah. Manager Lee Garniss says setting up the facilities (设施) has not been without its challenges.“It is an unconventional model of care,” Lee says. “The home is Scott and Daniel’s home, however it is also a workplace for their support staff. Balancing these two requirements has been a challenge for all.”“We have experienced a bit of a learning phase over the last twelve months. However, by working as a team we try our best to meet the needs of both residents and staff and I think we have achieved the right balance.”4. What do we know about the house Scott and Daniel live in now?A. It was built by their parents.B. It can accommodate four residents.C. It belongs to a governmental project.D. It’s located in the center of Brisbane.5. Why did Scott and Daniel’s parents wake up frequently at night?A. To help them do exercise.B. They were making a lot of noise.C. To check on their breathing.D. They were under emotional pressure.6. How did Scott feel while living with his parents?A. A bit guilty.B. Quite happy.C. Very proud.D. Slightly angry.7. What was a challenge while setting up the facilities?A. Lack of fund.B. No workplace.C. Inexperienced staff members.D. Satisfying both staff and residents’ needs.CThere are similarities and differences between high school life and college life.For one thing, there are several similarities between high school life and collegelife. First, the most important task in high school and college is both studying. Studying is the most important as a student. Second, we need a goal to fight for in both high school life and college life. To lead a meaningful life, we have to set up a goal to achieve.For another, there are also some differences between high school life and college life. First, our studying is also the biggest difference. In high school, we are required to follow our teachers' steps and finish theirassignmentsevery day. While in college, there are no teachers giving such detailed requirements to us and we can choose study or not according to our own willing. What and how to study totally depends on us. Therefore, the ability of self-control is very important in college life. Second, the flexibility (灵活性) of time is another difference. In high school, we have no much leisure except for our time of study. However, in college, we have much controlled by ourselves except the time of classes. And we have more time to do what we like. Finally, college lifeis much more various and richer. Besides study, we can attend many other activities, which make our college life more wonderful.In brief, there are both similarities and differences between high school life and college life. However, no matter we are in which period, we need to make full use of every day so that we will never feel regretful.8. Why do students need a goal to fight in high school and college?A. To enter a good college.B. To avoid living a meaningless life.C. To develop the ability of control.D. To meet their parents’ satisfaction.9. What does the underlined word “assignments” in paragraph 3 probably mean?A. Projects.B. Tasks.C. Goals.D. Dreams.10. Which is the correct structure of the passage?A. ①-②③-④B. ①②-③-④C. ①-②③④D.①②-③④11. Which of the following can be the best title for the text?A. College LifeB. High School LifeC. High School and CollegeD. High School Life and College LifeDAccording to a survey, the wasteof food on the dining table occupies 10% of the total grain output.Last week, Meituan, a giant online food ordering platform, co-published a proposal with a number of business organizations, calling on restaurants to stop food waste and help develop new eating habits for customers. Following the proposal, merchants are asked to offer guidance for consumers, including reminding them during the ordering process about the taste of the ingredients, portion sizes and other information about the dishes, to helpthem avoid excessive ordering and food waste.Catering（餐饮)associations in more than 18 provinces have also joined the campaign to remove food waste. The Wuhan Catering Association proposed an “NT" ordering code for restaurants in which a group of 10 diners would only order enough for nine people. More food is only brought to the table if required. On Friday, the China Cuisine Association announced that it had teamed up with Ele. me, the Alibaba Group Holding-owned food delivery platform, to launch a "half-dish plan," encouraging restaurants to provide customers with the option to order smaller portions.Tang Zhisong, a professor at Southwest University Education School, said "Evaluating how much you can eat, how much you should buy and how to deal with the leftover is a way for young people to improve their self-management. It's also a means to teach them sharing food, caring about others, and more importantly, developing a mindset of suitability. "12. What's the purpose of the proposal mentioned in the passage?A. To change customers' attitude toward life.B. To promote a new policy on food delivery.C. To spread the idea of healthy eating.D. To encourage restaurants to reduce food waste.13. What does the underlined word “excessive" in Paragraph 2 prolably mean?A. More than enough.B. Less than required.C. Better than ever.D. Worse than before.14. Paragraph 3 is mainly developed by.A. offering analysesB. presenting a surveyC. giving examplesD. making comparisons15. What do Tang's words suggest?A. Sharing food is caring about others.B. Young people should have self-discipline.C. Reducing food waste has all-round benefits.D Saving food contributes to a sustainable society.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

2019-2020学年重庆外国语学校高三英语上学期期中考试试卷及答案解析第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项A4 Best Drive--In Movie Theaters in the USColorado: Holiday Twin Drive--InAddress: 2206 S Overland Trail, Fort Collins, CO 80526, USAPhone: +1 970-221-1244The theater, open since 1968 and currently the most popular drive-in in the US, provides various special foods. The menu there even amazes meat-free customers. But please remember the outside food is forbidden here. Besides, the Rocky Mountains provide a pastoral (田园式的) backdrop to screenings, and sunsets usually don’t disappoint either. It also offers lots of unique events that go beyond the big screen.North Carolina: Hound’s Drive--InAddress: 114 Raven Cir, Kings Mountain, NC 28086, USAPhone: +1 704-739-4424Having only opened in 2016, it’s one of the newest theaters on the block. The drive-in features newer equipment and digital projection. People can bring their animal friends along.Florida: Fort Lauderdale Swap ShopAddress: 3291 W Sunrise Blvd, Fort Lauderdale, FL 33311, USAPhone: +1 954-791-7927The Florida favorite offers plenty ofways to have fun. With 14 screens, the self-proclaimed (自称的) world’s largest drive-in equals any indoor cinema in terms of capacity and programming. It also includes an 88-acre flea (跳蚤) market and a free Ferrari museum. It’s best to book tickets on the Internet ahead of time if you don’t want to wait in line.California: Mission Tiki Drive -InAddress: 10798 Ramona Ave, Montclair, CA 91763, USAPhone: +1 909-628-0511Let’s have fun in the old-school outdoor cinema in Montclair, California. Remember tickets are available atthe ticket office only. It alternates (交替) up to eight new releases on four screens and hosts almost daily swap meets where people can exchange things they no longer need. It also organizes classic car and lowrider meet-ups.1.What can people do in Holiday Twin Drive-In?A.Participate in somespecial activities.B.Enjoy the film with the latest equipment.C.Learn about the benefits of being meat free.D.Share home-made cookies while watching the film.2.Which of the following theaters is friendly to visitors with pets?A.Hound’s Drive- In.B.Mission Tiki Drive-In.C.Holiday Twin Drive-In.D.Fort Lauderdale Swap Shop.3.What do Fort Lauderdale Swap Shop and Mission Tiki Drive-In have in common?A.Both feature old-fashioned styles.B.Both allow booking tickets online.C.Both provide free museum exhibitions.D.Both offer chances to trade second-hand goods.BWhen I was seven my father gave me a Timex, my first watch. I loved it, wore it for years, and haven’t had another one since it stopped ticking a decade ago. Why? Because I don’t need one. I have a mobile phone and I’m always near someone with an iPod or something like that. All these devices (装置) tell the time — which is why, if you look around, you’ll see lots of empty wrists; sales of watches to young adults have been going down since 2007. This is ridiculous. Expensive cars go faster than cheap cars. Expensive clothes hang better than cheap clothes. But these days all watches tell the time as well as all other watches. Expensive watches come with extra functions — but who needs them? How often do you dive to 300 metres into the sea or need to find your direction in the area around the South Pole? So why pay that much of five years’ school fees for watches that allow you to do these things?If justice were done, the Swiss watch industry should have closed down when the Japanese discovered how to make accurate watches for a five-pound note. Instead the Swiss reinvented the watch, with the aid of millions of pounds’ worth of advertising, as a message about the man wearing it. Rolexes are for those who spend their weekends climbing icy mountains; a Patek Philippe is for one from a rich or noble family; a Breitling suggests you like to pilot planesacross the world.Watches are now classified as “investments” (投资). A 1994 Philippe recently sold for nearly £ 350,000, while 1960s Rolexes have gone from £ 15,000 to £ 30,000 plus in a year. But a watch is not an investment. It’s a toy for self-satisfaction, a matter of fashion. Prices may keep going up — they’ve been rising for 15 years. But when of fashion. Prices may keep going up — they’ve been rising for 15 years. But when fashion moves on, the owner of that £ 350,000 beauty will suddenly find his pride and joy is no more a good investment than my childhood Times.4. The author don’t need another watch because ________.A. he don’t like wearing a watchB. he has mobile phone and can ask someone for helpC. he has no sense of timeD. he thinks watches too expensive5. It seems ridiculous to the writer that________.A. expensive watches with unnecessary functions still sellB. expensive clothes sell better than cheap onesC. cheap cars don’t run as fast as expensive onesD. people dive 300 metres into the sea6. What can be learnt about Swiss watch industry from the passage?A. It wastes a huge amount of money in advertising.B. It’s hard for the industry to beat its competitors.C. It targets rich people as its potential customers.D. It’s easy for theindustry to reinvent cheap watches.7. Which would be the best title for the passage?A. Timex or Rolex?B. My Childhood TimexC. Watches? Not for Me!D. Watches----a Valuable CollectionCScientists say baby sharks are at risk of being born smaller and without the energy they need to survive because of warming oceans from climate change.Scientists studied epaulette sharks, which live off Australia and New Guinea. They found that warmer conditions sped up the sharks’ growing process. That meant the sharks were born earlier and very tired. The findings could be used in the study of other sharks, including those that give birth to live young.The scientists studied 27 sharks. Some were raised in average summer water temperatures, about 27 degreesCelsius. Others were raised in higher temperatures around 29 degrees Celsius and 31 degrees Celsius. They found that the sharks raised in the warmest temperatures weighed much less than those raised in average temperatures. They also showed reduced energy levels.Epaulette sharks can grow to a length of about one meter. Their name comes from large spots on their bodies that look like decorations on some military clothing.One study this year found that worldwide numbers of oceanie sharks and rays dropped more than 70 percent between 1970 and 2018. Overfishing is a main concern, while climate change and pollution also threaten shark.Carolyn Wheeler is a doctoral student at the University of Massachusetts Boston and with the ARC Centre of Excellence for Coral Reef Studies at James Cook University in Australia. She was the lead author of the epaulette shark study. She said that while all the sharks survived, those raised in warmer temperatures were not strong enough to survive for long in the wild.She added that if the sharks are born smaller than usual “they are probably going to have to start looking for food sooner—and they’re going to have less time to adjust to their surroundings.” The study should serve as a warning to ocean governing agencies that careful management is needed to prevent the loss of more sharks.8. In what aspect do the warmer conditions affect the baby sharks?A. Their food.B. Their body weight.C. Their living habits.D. Their moving route.9. How did the scientists carry out their study?A. By studying former data.B. By tracking sharks in the wild.C. By collecting information about climate change.D. By comparing sharks in waters of different temperatures10. What does paragraph 5 mainly talk about?A. The origin of sharks’ names.B. The sharks’ appearance.C. The threats to sharks’ survival.D. The sharks’ living environment.11. Which of the following can be the best title for the text?A. Scientists Raise Sharks to Deal with ProblemsB. Global Warming Has Reduced Shark PopulationsC. Baby Sharks Struggle to Survive in Warming OceansD. Scientists Are Struggling to Save Sharks from ExtinctionDWhere do you find beauty? Fashion Magazines? Music Videos? One American photographer is finding beauty in unexpected places. And a new documentary about his work might help change the traditional standards of “who” is beautiful.Rick Guidotti put aside his career as a fashion photographer to turn his lens to people living with genetic, physical and behavioral differences. He says what changed his perception of beauty was a chance encounter with an albino （白化病）girl.“I was just tired of people telling me who was beautiful. Every season that face would change but I was always told who was beautiful. As an artist, I don't see beauty just on covers of magazines. I see it everywhere. So it was my initial intention that opened my eyes a little wider and wider.” Said Guidotti.Guidotti has created Positive Exposure, a not-for-profit organization that uses photography and video to transform public views and promote a world where differences are celebrated. Guidotti and Positive Exposure are featured in a new documentary called On Beauty.The cast and crew recently hosted a screening at Georgetown University in Washington. One of the women featured in the film is Jayne Waithera. “I never thought I was beautiful because nobody said that to me, but meeting him was my profound moment. I remember that particular day he took my picture and I felt so good like I felt there's somebody who, really loves me and sees me for who I am and who sees me more than my condition.” said Waithera.The documentary is the idea of producer Joanna Rudnick. After seeing Guidotti's photos, she decided to tell his story. Joanna and Guidotti are traveling from city to city to promote On Beauty. “As I travel from community to community, I'm taking photographs and I'm encouraging individuals with a positive sense of who they are. They're seeing beauty in their reflection but I'm also encouraging their families and they in turn are encouraging their communities as well. All is based on the philosophy of change how you see,see how you change.”12. What made Rick change his understanding of beauty?A. A girl diagnosed with albino.B. His job as a fashion photographer.C. The beauty on the covers of magazines.D. Influence from the people working with him.13. What can we infer about Jayne Waithera?A. She showed great interest in taking photos.B. She used to be disappointed at her work and life.C. She was greatly influenced by the experience with Rick.D. She believed Rick was the best photographer in the world.14. Which of the following words can best describe On Beauty?A. abstract and differentB. traditional and academicC. tolerant and encouragingD. creative and interesting15. What's the best title of the text?A. True Beauty In The Eye Of A PhotographerB. Beautiful Or Not Beautiful,That's A QuestionC. Be Who You Are Not Who You Want To BeD. A Different photographer, A Different Magazine第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

重庆外国语学校2019-2020学年（下）高2022届半期考试题英语注意事项：1. 本试卷分第Ⅰ卷（选择题，1至9页）和第Ⅱ卷（非选择题，9至10页）两部分；考试时间120分钟；满分150分。

2. 全部答案在答题卡上完成，答在本试卷上无效。

3.答题前，考生务必将自己的姓名、准考证号等填涂在答题卡指定的位置。

第Ⅰ卷选择题部分第一部分听力（共两节，满分30分）做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（共5小题；每小题1.5分，满分7.5分）听下面5段对话。

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

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. Where does the woman come from?A. Mexico.B. Spain.C. The United States.2. How will the man send his application?A. By fax.B. By post.C. By e-mail.3. What could the woman be?A. A teacher.B. A secretary.C. A nurse.4. How many children does the woman have?A. Two.B. Three.C. Six.5. What has the man done?A. He has had a competition.B. He has painted a picture.C. He has filled in a form.第二节 (共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

2019-2020学年重庆外国语学校高三英语上学期期末试题及答案解析第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项AAlex Palmer says he'll never forget his 13th birthday, not because of a gift or a party, but fire. “It made me realize how valuable life is,” said Alex, a seventh grader atMonroeDemonstrationSchoolinTulsa,Oklahoma.On April 18, Alex and many other kids from his school were riding home on a school bus when they suddenly saw smoke coming from the bus’ engine. “It was jaw-dropping,” he told reporters.By the time Alex and some other kids made it out the bus’ back door, the bus was already on fire. And some of their schoolmates were still inside. So he and some of the other older kids took action.“One little kid was slowing everyone down with his big backpack, ” eighth grader Destiny Fain said, “so I got it off and threw it to the side and helped to make sure all the little kids weren’t fighting or pushing. ”As that was going on, sixth grader Marketez Doyle-Smith reportedly helped another classmate who had trouble in breathing because of the smoke. “We saw our friend lying on the ground,” he said, “so we took our shirts off and waved them to get him some air to breathe.”Marketez also reportedly stopped a younger kid trying to get back on the bus to search for something he’d left behind. “We're all a family,” he told reporters. “So I went back to help the little kid.”Finally everyone made it off safely, thanks to Alex, Destiny, Marketez and several other kids. By later that day, they were already being called heroes. “I really don’t see it as being a hero,” Alex said, according to The World. “I see it as the right thing to do—helping others before you help yourself.”1. What happened on Alex’ s way home?A. The school bus was on fire suddenly.B. There was a party for Alex’s birthday.C. He received a gift from his classmate.D. Some classmates quarreled with each other.2. By saying "We're all a family.” Marketez probably meantA. We’re brothers in the same family.B. It’s our duty to help each other.C. We’re classmates in the same class.D. The thing left on the bus is mine.3. According to the last paragraph, Alex thought that heA. was not a brave student.B. had the right to do anything.C. had just done what he should do.D. hated to be called a hero by others.BTwo young brothers fromMalden.Massachusettswere in the spotlight Thursday after being named “heroes" by a national organization that recognizes young people doing great things. For the Bennett brothers, the goal of their work is nothing less than helping researchers find a cure for cancer. And their inspiration came from a friend.Thirteen-year-old Hany Bennett and his nine-year-old brother Heath run their business out of their family kitchen. "We're making lip balm（润唇膏），"Harry says. They got the idea two years ago when their friend, Timmy, was diagnosed（诊断）with cancer. brothers wanted to do something. We learned that cancer patients（lips and skin can get really dry because of chemotherapy（化疗），Hany says.A light bulb went off in both of their young heads,and " Bennett Brothers Balm was born. "We make lip balm, which is kind of like our main product/ says Heath. They also make and sell different body balms, all natural, all handmade, while the profits benefit cancer research. "We've raised S 15,000/ Heath says.And with the great optimism of children, they don't just want to help；they wont to win. We want to find a cure. We want to help doctors find a cure, Harry explains, The brothers are also Gelding a team for the Light the Night Walk, to fight cancer."I think it's great to raise money and help people who have cancer," says Heath. Their parents play a big role as well, but it's the boys who provide the most enthusiasm with a message we can all learn from. "If you want to do something... do it," Harry says. "I just feel very glad that we're helping. It feels very good”，adds Heath.Harn and Heath just received the S 10,000 Gloria Barron Prize for Young Heroes. Hwy intend to save some of il for college, invest some of it in their business and give the rest to charity. And their friend Timmy? "He's doing great. He's all better, Harry says.4. What encouraged the Bennett brothers to make lip balm at first?A. Helping a friend with cancer.B. Finding a cure for cancer.C. Raising public awareness of cancer.D. Collecting money for cancer patients.5. What does the underlined part in Paragraph 3 mean?A. The two brothers finished their first product.B. The two brothers came up with an idea.C. The two brothers struggled for a stress-free life.D. The two brothers found an effective way to study.6. What do the Bennett brothers think of their work?A. It is quite competitive.B. It is well worthwhile.C. It fails to satisfy their parents.D. lt helps them make a big profit.7. What does the author intend to tell us with the two brothers' story?A. Great minds think alike.B. Two headsare better than one.C. Young kids can make a big difference.D. The longest journey begins with the first step.CWhen I was 13, I lost my sight. Since then, I had learned to get about with a walking stick, but had to stay at home because my parents thought I would get lost or robbed, even get hit by a car.I, however, believed I could regain my way if I lost it. A neighbor told me that a public library was offering a free course designed for the blind. That's an important opportunity for me to kill two birds with one stone: I could practice my getting — about skills on my way to learning practical technology. My parentssettled forit.But how would I plan my course? I knew that the blind singer Ray Charles, get around without a walking stick by counting steps. But I couldn't seem to do that the way he had. I developed the power of my imagination, catching the layout（布局）of places I visited and taking note of landmarks in my mind. Every time I visited a place, the mental map I'd drawn would turn up and helped me with the direction. But that doesn't mean I didn't lose my way in the process of acquiring this skill. I'd have to swallow（吞下）my pride to ask kind strangersfor help.On those days I lost my way, I'd go to bed feeling down. But my desires to beat blindness and further my education were usually enough to get me out of bed the next day and try again. Today, I'm a published reporter and audio producer.Yes, I've lost my way at times and found it again. And when people ask me,"Aren't you afraid to be out on your own?” the answer to me is clear：I'd rather risk and find happiness than stick to safety and be painful.Now, impressed by my progress, my father told my mother, "Our boy can see!".8. What does the underlined phrases “settled for" in the second paragraph mean?A. Talked about.B. Stuckto.C. Agreed to.D. Cared about.9. How did the author go around on his own after losing his sight?A.He created pictures of places in his mind.B. He drew a map on the paper to help him.C. He was always asking strangers for directions.D.He threw away the walking stick and counted steps.10. Which of the following can best describe the author?A. Determined and adventurous.B. Patient and intelligent.C. Warm-hearted and positive.D. Adventurous and outgoing.11. How did the author's parents feel about his progress?A.Concerned.B. Surprised.C. Confident.D. Proud.DA nurse has fulfilled (实现) a promise she made to her patient four years ago to one day attend her daughter's graduation from nursing school.Edina Habibovic, 22, graduated from Chamberlain University's College of Nursing in 2020. Her mother, Sevala Habibovic, 46, died in2017 after a two year fight with breast cancer.“I thought the medical field wasn't for me. Then, my mom got sick and I had all the experience going in and out of the hospital, ” Edina toldGood MorningAmerica. “When my mom passed away, I thought, ‘I want to dothis.’”she said.Sanja Josipovic, who at the time worked as a home health nurse with Northwestern Medicine in Winfield, Illinois, cared for Sevala inside her home. They often chatted and shared the latest news with each other over six months of care.“She was most worried about Edina because she was young and hadn't finished school yet, ” Sanja said. “We are like sisters; we care about and trust each other. She was a powerful and strong minded woman. She wasn't scared to die; she was just worried about her kids and husband.”Edina said her mother lived for being with her family and taking care of people. “When Sanja was working, my mom would still try to make her something to eat, no matter how sick she was, ” Edina added. When Sevala's life was coming to an end, she asked Sanja to take her place at her youngest daughter's nursing school graduation. “That was the only thing she was going to miss. Edina's graduation, ” said Sanja, who is a mother of three herself. She agreed.Due to COVID -19, there was no graduation or pinning ceremony. Edina's manager at MarianjoyRehabilitation Hospital decided to host a pinning ceremony for her and have Sanja present the pin. “Sanja has fulfilled her promise, ” Edina said.Edina and Sanja are now caring for patients alongside one another as colleagues at Marianjoy.12. What does the underlined word “this” in paragraph 3 refer to?A. Leaving the hospitalB. Working as a nurseC. Facing death positivelyD. Caring for Edina's mother13. What can be learned about Sanja and Sevala?A. They enjoyed volunteeringB. They were cancer survivorsC. They had unhappy marriagesD. They developed a close bond14. What would be Sevala's regret?A. The loss of the chance to study medicineB. Her absence from Edina's school graduationC. Failing to keep the promise made to SanjaD. Never cooking a good meal for her husband15. How did Sanja fulfill her promise?A. By taking care of Edina and her familyB. By helping Edina enter her dream hospitalC. By attending a special ceremony for EdinaD. By managing to become Edina's colleague第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

2019-2020学年重庆外国语学校高三英语一模试卷及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项AMy Biggest ChallengeAs a writer on an adventure sports magazine, I’dalways fought shy of doing the adventurous stuff myself, preferring instead to observe the experts from a safe distance and relay their experiences to readers in the form of written language. Thus, when I was challenged to take part in a mountain climb in aid of raising money for charity-and to write about it afterwards-I was unwilling, to say the least.I was lucky enough to have a brilliant climbing coach called Keith, who put me through my paces after my daily work. He gave me knowledge about everything from the importance of building muscle groups to how to avoid tiredness through nutrition. It quickly became apparent that the mechanics of climbing were more complex than I had imagined. There was the equipment and techniques I’d never even heard of, all of which would come in handy on the snow-capped peak I’d be climbing.Aware of the challenge, Keith made a detailed action plan and I forced myself to stick to it, doing a daily workout at the gym and going on hikes with a heavy pack. I perfected my technique on the climbing wall and even went to climb the mountains to get vital experience. My self-belief increased alongside my muscle power and I became confident about finishing the climb.All too soon I was on a plane to my destination. On that day, when I looked up at the mountain, I thought of abandoning it. But then I remembered all the hard work I’d done and how disappointed Keith would be if I gave up at the last minute-not to mention letting down the charity and the sense of failure I’d experience myself. With a deep breath I gathered my equipment and headed out into the sunshine to meet the rest of the group.And as I sit here now, tapping away on my laptop, I’m amazed at the details in which I can recall every second of the climb: the burning muscles, the tiredness, the minor problems along the way. Could I have been better prepared? Possibly. Would I be back for another go? Thankfully not. The feeling of being excited when I stood on top of the world is a never-to-be-repeated experience but one I will enjoy forever nevertheless.1. At the beginning of the activity, the author revealed his ______.A. disappointment in the coming adventure.B. expectation of writing about his experience.C. lack of enthusiasm for the challenge he’d been offered.D. curiosity about taking part in the mountain climb for charity.2. What did the author realise during his climb training?A. The knowledge about climbing was really confusing.B. The equipment was the key factor to reach the peak.C. Climbing was much more complicated than expected.D. Hard training was far more important than making plans.3. How did the author feel after he succeeded in climbing the mountain?A. He was relieved that he wouldn’t have to do it again.B. He was well satisfied that he had done his best for it.C. He was surprised that he had managed to complete it.D.He was regretful that it wasn’t as smooth as imagined.BAt any moment, about half the world’s population is wearing denim（牛仔布）clothes. But few realize tiny bits of denim have been adding up to a surprising amount of pollution in water, as a new study shows.Sam Athey, one of the study’s authors, says, “Even though denim is made of a natural material—cotton, it contains chemicals.” Cotton fibers were treated with many types of chemicals, she notes. Some improve its durability and feel. Others give denim its distinctive blue color1 .Athey and her team washed jeans and found that about 50,000 microfibers came off from each pair per wash. Not all of those fibers make their way into the environment. Wastewater treatment plants catch about 83 to 99 percent ofthem. Catching 99 percent may sound pretty good. But one percent of 50,000 is still 500 fibers per wash. And since every pair of jeans is washed again and again, it still adds up to lots of microfibers entering the water environment.Denim microfibers showed up in sediment（沉淀物）from the Great Lakes. More of these fibers polluted a series of shallow lakesin southern Ontario. They even turned up in sediment from the Arctic Ocean in northern Canada. The team found denim accounted for 12 to 23 percent of microfibers in the sediment. There were other microfibers too. But the team focused on denim because so many people wear jeans.“Everyone wears jeans so they could be our largest input of microfibers into our streams and soils,” Athey says. “An easy way to limit that is by washing our jeans less often.” Athey grew up thinking she should wash her jeans after wearing them every couple of times, but most jean companies recommend washing them no morethan once a month. “The solution is not that you shouldn’t wear jeans,” she says. “We need to buy fewer denim clothes and only wash them when they truly need it.”4. Which of the following is TRUE according to the passage?A. Chemicals are contained in natural cotton.B. Chemicals can make denim color1 ful.C. Chemicals prevent fibers from falling.D. Chemicals can make the life of denim longer.5. What does the underlined word “them” in Paragraph 3 refer to?A. Denim.B. Sediment.C. Microfibers.D. Chemicals.6. What does the author mainly want to tell us through Athey’s words ?A. To avoid wearing jeans.B. To reduce denim consumption.C. To wash jeans more often.D. To limit input in denim production.7. In which section of a magazine might the text be found?A. Science.B. Entertainment.C. Tourism.D. Geography.CThe Native American of northern California were highly skilled at basketry, using the reeds, graeses, barks, and roots they found around them to fashion articles of all sorts and sizes-not only trays, containers, and cooking pots, but hats, boats, fish traps, baby carriers, and ceremonial objects.Of all these experts, none excelled the Pomo-a group who lived on or near the coast during the 1800's, and whose descendants continue to live in parts of the same region to this day. They made baskets three feet in diameter and othersno bigger than a thimble (顶针). The Pomo people were masters of decoration. Some of their baskets were completely covered with shell pendants；others with feathers that made the baskets’ surfaces as soft as the breasts of birds. Moreover, the Pomo people made use of more weaving techniques than did their neighbors. Most groups made al their basketwork by twining--the twisting of a flexible horizontal material, called a weft, around stiffer vertical strands of material, the warp. Others depended primarily on coiling-a process in which a continuous coil of stiff material is held in the desired shape with tight wrapping of flexible strands. Only the Pomo people used both processes with equal ease and frequency. In addition, they made use of four distinct variations on the basic twining process, often employing more than one of them in a single article.Although a wide variety of materials was available, the Pomo people used only a few. The warp was always made of willow, and the most commonly used weft was sedge root, a woody fiber that could easily be separatedinto strands no thicker than a thread. For color1 , the Pomo people used the bark of red-bud for their twined work and dyed bullrush root for black in coiled work. Though other materials were sometimes used, these four were the staples in their finest basketry.If the basketry materials used by the Pomo people were limited, the designs were amazingly varied. Every Pomo basket maker knew how to produce from fifteen to twenty distinct patterns that could be combined in a number of different.8. The word “fashion” in paragraph 1 is closest in meaning to ______.A. maintainB. organizeC. tradeD. create9. What is the author's main point in paragraph 2?A. The neighbors of the Pomo people tried to improve on the Pomo basket weaving techniques.B. The Pomo people were the most skilled basket weavers in their region.C. The Pomo people learned their basket weaving techniques from other Native Americans.D. The Pomo baskets have been handed down for generations.10. According to the passage, the relationship between red-bud and twining is most similar to the relationship between ______.A. bullrush and coilingB. weft and warpC. willow and feathersD. sedge and weaving11. Which of the following statements about Pomo baskets can be best inferred from the passage?A. Baskets produced by other Native Americans were less varied in design than those of the Pomo.B. Baskets produced by Pomo weaves were primarily for ceremonial and religious purposes.C. There were a very limited number of basket-making materials available to the Pomo people.D. The basket-making production of the Pomo people has been increasing over the years.DAt first glance, there is nothing unusual about BingoBox’s convenience store–shelves packed with snacks line the walls, attracting passers-by through the glass windows. But upon closer look, BingoBox is no ordinary store. The door unlocks only after customers scan (扫描) aQR code to enter, and there is no cashier — just a lone checkout counter (柜台) in a corner. The Shanghai-based company is one of many unmanned store operators (运营者) opening outlets all over China, hoping to improve slim profit by reducing staff costs.“Ifstaff costs rise quickly, that puts greater pressure on low-profit businesses like convenience stores and supermarkets,” said Andrew Song, an analyst at Guotai Junan Securities. “InChina, manpower costs have beenrising ly quickly.”However, the future vision of shopping without a check-out person is still a work in progress. A Post reporter who visited a BingoBox store inShanghaiwas briefly locked in when trying to exit without buying anything. Although a sign near the exit stated that empty-handed customers can leave by scanning a QR code, no QR code was to be found. Repeated calls to the customer service hotline went unanswered.The idea of unmanned stores first caught the world’s attention in December last year. Equipped with technology such as RFID tags, mobile payment systems and facial and movement recognition, such stores collect large amounts of data that give operators a better idea of consumer preferences and buying habits, which can then be used to optimize (使最优化) operations and make more efficient inventory decisions. For companies like BingoBox, lower operating costs also mean it can afford to expand its reach to areas with less foot traffic or fewer people, according to its founder and chief executive ChenZilin.12. What makes BingoBox store look like an ordinary convenience store?A. No cashier to check out.B. A lone checkout counter.C. Shelves packed with goods.D. Entering by scanning a QR code.13. Why are unmanned stores popular with operators?A. The customers prefer mobile payment systems.B. The unmanned stores help improve profit with lower labor costs.C. The employees focus on consumer preferences and buying habits.D. The operators care more about operations and inventory decisions.14. Why is the reporter’s case mentioned in the passage?A. To show his anger and dissatisfaction.B. To warn people not to go to a BingoBox store.C. To explain unmanned stores still have a long way to go.D. To complain that QR code service is not convenient at all..15. What can we infer from the chief executive Chen Zilin?A. Nowadays all stores should be equipped with advanced technology.B. The operators collect data about consumer preferences and buying habits.C. BingoBox made wiser decisions based on the data collected in those unmanned stores.D. The operators can open unmanned supermarkets in more distant places with low cost.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

2019-2020学年重庆外国语学校高三英语第一次联考试题及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项ADuring ancient times, children didn’t have smartphones, iPad or computers to entertain themselves. Instead, they came up with interesting games to play.★Stone ballsDuring the Qing Dynasty, kicking a stone ball around was a popular sport in the northern part of China, and it was often played in the winter to protect kids from the cold. Stones were carved into small balls and kicked along with feet. In 1999, the sport was included in the 6th National Ethnic Group Traditional Sports Meeting held in Beijing.★Flying kitesKites have quite a long history. The earliest kites were made of wood, instead of paper. Nowadays, the four most famous kites are the Beijing kite, Tianjin kite , Weifang kite and Nantong kite, of which each has distinctive features. The kite which resembles a swallow is a well-known Beijing style.★Hide-and-seekHide-and-seek is a traditional game for children, popular around the nation. There are two ways to play: covering a child’s eyes while other kids run around to tease(戏弄) him or, more commonly, participants hide and one child must try to find them.★Playing diabolosA diabolo is always made of wood or bamboo and has empty space in the center. By juggling(边抛边接) the diabolo on the rope, the high-speed spinning diabolos will make a sound like a whistle. Playing diabolos is an interesting folk game, especially popular in North China. Playing diabolos was also included in the first group of national intangible cultural heritage(非物质文化遗产).1.Why did ancient children often play stone balls in the winter?A.To practice their feet.B.To warm themselves.C.To train their skills.D.To relax themselves.2.Which kites are swallow-shaped?A.Weifang kites.B.Tianjin kites.C.Beijing kites.D.Nantong kites.3.Why does playing diabolos make a sound?A.Because the diabolo’s center is empty.B.Because the high-speed spinning diabolo is light.C.Because the diabolo is equipped with a whistle.D.Because ropes’ surface moves against the diabolo’s.BEver wondered if dogs can learn new words? Yes, say researchers as they have found that talented dogs may have the ability to grasp new words after hearing them only four times.While previous evidence seems to show that most dogs do not learn words, unless eventually very well trained, a few individuals have shown some extraordinary abilities, according to a study published in the journal Scientific Reports.“We wanted to know under which conditions the gifted dogs may learn novel words” said researcher xuekw Claudia Fugazza from theEötvösLorándUniversityinHungary. For the study, the team involved two gifted dogs, Whisky and Vicky Nina. The team exposed the dogs to the new words in two different conditions.In the exclusion-based task, presented with seven known toys and one new toy, the dogs were able to select the new toy when presented with a new name. Researchers say this proves that dogs can choose by exclusion when faced with a new word, they selected the only toy which did not have a known name.However, this was not the way they would learn the name of the toy. In fact, when they were presented with one more equally new name to test their ability to recognize the toy by its name, the dogs got totally confused and failed.The other condition, the social one, where the dogs played with their owners who pronounced the name of the toy while playing with the dog, proved to be the successful way to learn the name of the toy, even after hearing it only 4 times. “The rapid learning that we observed seems to equal children’s ability to learn many new words at a fast rate around the age of 18 months,” Fugazza says. “But we do not know whether the learning mechanisms(机制) behind this learning are the same for humans and dogs. ”To test whether most dogs would learn words this way, 20 other dogs were tested in the same condition, but none of them showed any evidence of learning the toy names, confirming that the abilityto learn words rapidly in the absence of formal training is very rare and is only present in a few gifted dogs.4. What was the purpose of the study published in Scientific Reports?A. To better train dogs’ ability to learn new words.B. To further confirm previous evidence about dogs.C. To prove extraordinary memory abilities of gifted dogs.D. To explore favorable conditions for gifted dogs’ new-word learning.5. How did the dogs react when exposed to two new names in the first condition?A. Slow to understand.B. Quick to learn.C. At a loss.D. In a panic.6. What was found about dogs’ new-word learning in the social condition?A. Learning through playing applied to most dogs.B. The social condition helped dogs learn new words.CDogs’ new-word learning turned out to be less effective.D. Dogs shared similar learning mechanisms with children.7. Which of the following is the best title for the text?A. Gifted Dogs Can Learn New Words Rapidly.B. Dogs Identify Newly-named Toys by Exclusion.C. Dogs Can Acquire Vocabulary through Tons of Training.D. Gifted Dogs Have Similar Learning Abilities to Humans.CA city inSouth Korea, which has the world’s largest number of people using smartphones, has placed flashing lights and laser beams at a road crossing to warn “smartphone zombies” to look up and drivers to slow down, in the hope of preventing accidents.The designers of the system were motivated by growing worry that more pedestrians glued to their phones will become victims in a country that already has some of the highest road death and injury rates among developed countries. State-run Korea Institute of Civil Engineering and Building Technology (KICT) believes its system of flashing lights at zebra crossings can warn both pedestrians and drivers.In addition to red, yellow and blue LED lights on the pavement, “smombies” - smartphone zombies - will be warned by laser beam projected from power poles and a warning sent to the phones by an app that they are about to step into traffic.“Increasing number of smombie accidents have occurred in pedestrian crossings, so these zombie lights are essential to prevent these pedestrian accidents,” said KICT senior researcher Kim Jong-hoon. Drivers are warned by the flashing lights, which have shown to be effective 83.4 percent of the time in the institute’s tests involvingabout 1,000 vehicles.In 2017, more than 1,600 pedestrians were killed in auto related accidents, which is about 40 percent of total traffic deaths, according to data from the Traffic Accident Analysis System. For now, the smombie warning system is placed only in Ilsan, a suburban city about30 kmnorthwest of the capital,Seoul, but is expected to go nationwide, according to the institute.Kim Dan-hee, a 23-year-old resident of Ilsan, welcomed the system, saying she was often too absorbed in her phone to remember to look at traffic. “This flashing light makes me feel safe as it makes me look around again, and I hope that we can have more of these in town,” she said.8. What do the underlined words “smartphone zombies” in paragraph 1 refer to?A. Drivers driving after drunk.B. Pedestrians buried in their phones.C. Passengers crazy about phones.D. Policemen in charge of traffic.9. What do we know about the warning system?A. It has reduced death rate by 83.4%.B. It has been spread nationwide.C. It gives a warning to the smartphones.D. It is being tried out in many places.10. What was the residents’ attitude to the traffic system?A. Negative.B. Unconcerned.C. Disapproving.D. Favorable.11. What is the best title for the text?A.South KoreaWarns Smartphone Zombies of TrafficB. Flashing Lights Are Used to Prevent AccidentsC. Smartphone Zombies Are Causing Traffic AccidentsD.South KoreaUses a New Traffic SystemDWhen I was seven my father gave me a Timex, my first watch. I loved it, wore it for years, and haven’t had another one since it stopped ticking a decade ago. Why? Because I don’t need one. I have a mobile phone and I’m always near someone with an iPod or something like that. All these devices (装置) tell the time — which is why, if you look around, you’ll see lots of empty wrists; sales of watches to young adults have been going down since 2007. This is ridiculous. Expensive cars go faster than cheap cars. Expensive clothes hang better than cheap clothes. But these days all watches tell the time as well as all other watches. Expensive watches come with extra functions — but who needs them? How often do you dive to 300 metres into the sea or need to find your direction in the areaaround the South Pole? So why pay that much of five years’ school fees for watches that allow you to do these things?If justice were done, the Swiss watch industry should have closed down when the Japanese discovered how to make accurate watches for a five-pound note. Instead the Swiss reinvented the watch, with the aid of millions of pounds’ worth of advertising, as a message about the man wearing it. Rolexes are for those who spend their weekends climbing icy mountains; a Patek Philippe is for one from a rich or noble family; a Breitling suggests you like to pilot planesacross the world.Watches are now classified as “investments” (投资). A 1994 Philippe recently sold for nearly £ 350,000, while 1960s Rolexes have gone from £ 15,000 to £ 30,000 plus in a year. But a watch is not an investment. It’s a toy for self-satisfaction, a matter of fashion. Prices may keep going up — they’ve been rising for 15 years. But when of fashion. Prices may keep going up — they’ve been rising for 15 years. But when fashion moves on, the owner of that £ 350,000 beauty will suddenly find his pride and joy is no more a good investment than my childhood Times.12. The author don’t need another watch because ________.A. he don’t like wearing a watchB. he has mobile phone and can ask someone for helpC. he has no sense of timeD. he thinks watches too expensive13. It seems ridiculous to the writer that________.A. expensive watches with unnecessary functions still sellB. expensive clothes sell better than cheap onesC. cheap cars don’t run as fast as expensive onesD. people dive 300 metres into the sea14. What can be learnt about Swiss watch industry from the passage?A. It wastes a huge amount of money in advertising.B. It’s hard for the industry to beat its competitors.C. It targets rich people as its potential customers.D. It’s easy for theindustry to reinvent cheap watches.15. Which would be the best title for the passage?A. Timex or Rolex?B. My Childhood TimexC. Watches? Not for Me!D. Watches----a Valuable Collection第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

2019-2020学年重庆外国语学校高一（上）期中数学试卷一、选择题（本大题共12小题，共60.0分）1. 已知集合M ={−1,0，1}，N ={x|x =a 2,a ∈M}，则集合M ∩N( )A. {0}B. {1}C. {0,1}D. {−1,0，1}2. 设函数f(x)={(12)x −7(x <0)√x(x ≥0),若f(a)<1，则实数a 的取值范围是( )A. (−∞,−3)B. (1,+∞)C. (−3,1)D. (−∞,−3)∪(1,+∞)3. 下列函数在区间(−∞,0)上是增函数的是( )A. f(x)=x 2−4xB. g(x)=3x +1C. ℎ(x)=3−xD. t(x)=tanx 4. 3√2=( )A. 2 56B. 2 32C. 2 16D. 2 (12)135. 已知a =log 0.60.5，b =ln0.5，c =0.60.5，则( )A. a >b >cB. a >c >bC. c >a >bD. c >b >a 6. 函数f(x)=lg(−x 2+x +6)的单调递减区间为( )A. (−∞,12) B. (12,+∞) C. (−2,12) D. (12,3) 7. 已知函数f(x)=log a (4−ax)在(−2,2)上是减函数，则a 的取值范围是( )A. (0,2)B. (1,2)C. (1,2]D. [2,+∞)8. 已知f(x)，g(x)分别是定义在R 上的奇函数和偶函数，且g(0)=0，当x ≥0时，f(x)+g(x)=x 2+2x +x −b(b 为常数)，则f(−1)−g(−1)=( )A. 3B. 1C. −3D. −19. 已知f(x)={x 2−4ax +3,x <1log a x +2a,x ≥1满足对任意x 1≠x 2，都有f(x 1)−f(x 2)x 1−x2<0成立，那么a 的取值范围是( )A. (0,12]B. [12,1)C. [12,23]D. [23,1)10. 已知偶函数f(x)在(−∞,−2)上是增函数，则下列关系式中成立的是( )A. f(−72)<f(−3)<f(4) B. f(−3)<f(−72)<f(4) C. f(4)<f(−3)<f(−72) D. f(4)<f(72)<f(−3) 11. 已知函数f(x)=|ln(x −1)||，若f(a)>f(4−a)，则a 的取值范围是( )A. (1,2)B. (2,3)C. (1,3)D. (2,4)12. 已知函数f(x)=12(a −x)e x (a >0)，存在x ∈[0,2]，使得f(x)≥e ，则实数a 的取值范围是( )A. [3,+∞)B. [2+ln2,+∞)C. [2e,+∞)D. [2+2e ,+∞)二、填空题（本大题共4小题，共20.0分）13. 函数y =1+2a x−1(a >0且a ≠1)必过定点______ ．14. 已知函数f(x)满足f(xy)=f(x)+f(y),f(3)=1，则f(27)=__________．15. 已知奇函数f(x)满足f(1−x)=f(1+x)，若当x ∈(−1,1)时，f(x)=lg 1+x1−x 且f(2019−a)=−1,(0<a <1)，则实数a =______．16. 已知函数f (x )={x 2+(4a −3)x +3a,x <0log a (x +1)+1,x ≥0在R 上单调递减，且关于x 的方程|f(x)|=2−x 3恰有两个不相等的实数解，则实数a 的取值范围是_________ 三、解答题（本大题共6小题，共70.0分） 17. (1)计算23lg8+lg 25+lg2⋅lg50+lg25的值；(2)已知a +a −1=5，求a 2+a −2和a 12+a −12的值．18. 已知函数f(x)=√x∈R)的定义域为集合A ，函数g(x)=2x +1的值域为集合B ．(1)当a =3时，求A ∪B ；(2)若A ∩B =⌀，求实数a 的取值范围．19. 已知函数f(x)=lg 1+x1−x ，(1)判断f(x)的奇偶性；(2)判断f(x)在定义域上的单调性．20.已知奇函数f(x)的定义域为R，且当x∈(0,+∞)时，f(x)=x2−x+1(1)求函数f(x)的解析式(2)记函数g(x)=f(x)−mx+1，若函数g(x)有3个零点，求实数m的取值范围21.已知二次函数f(x)=ax2+bx+c和一次函数g(x)=−bx，其中a,b,c∈R且满足a>b>c，f(1)=0(1)证明：方程f(x)=g(x)有两个不同实根；(2)若函数F(x)=f(x)−g(x)在[2,3]上的最小值为9，最大值为21，试求a,b的值．22.已知f(x)=x2+ax+b(a,b∈R)．(Ⅰ)当a=2时，若关于x的方程|f(x)|−2=0有且只有两个不同的实根，求实数b的取值范围；(Ⅱ)对任意x∈[1,5]时，不等式−2≤f(x)≤2恒成立，求a+b的值．-------- 答案与解析 --------1.答案：C解析：解：N={0,1}；∴M∩N={0,1}．故选：C．可求出集合N，然后进行交集的运算即可．考查列举法、描述法的定义，以及交集的运算，元素与集合的关系．2.答案：C)a−7<1，解得a>−3，所以−3<a<0；解析：解：a<0时，f(a)<1即(12a≥0时，√a<1，解得0≤a<1综上可得：−3<a<1故选：C．)a−7<1，a≥0时，√a<1，分别求解即可．a<0时，f(a)<1即(12本题考查分段函数、解不等式等问题，属基本题，难度不大．3.答案：B解析：解：对于A，f(x)=x2−4x=(x−2)2−4，在(−∞,0)上是单调减函数，不满足题意；对于B，g(x)=3x+1在(−∞,0)上是单调增函数，满足题意；)x是(−∞,0)上的单调减函数，不满足题意；对于C，ℎ(x)=3−x=(13对于D，t(x)=tanx在区间(−∞,0)上是周期函数，不是单调函数，不满足题意．故选：B．分别判断选项中的函数在区间(−∞,0)上的单调性即可．本题考查了常见的基本初等函数的单调性问题，是基础题目．4.答案：C解析：解：3√2=(212) 13=216，故选：C．根据指数式与根式的互化即可求出答案．本题考查指数式与根式的互化，是基础的计算题5.答案：B解析： 【分析】本题考查实数大小的比较，难度一般． 【解答】解：a =log 0.60.5>1，b =ln0.5<0，c =0.60.5∈(0,1)，故a >c >b ． 故选B ．6.答案：D解析： 【分析】本题主要考查对数函数、二次函数的性质，复合函数的单调性，令t =−x 2+x +6>0，求得函数的定义域，根据f(x)=g(t)=lgt ，本题即求函数t 在定义域内的减区间，再利用二次函数的性质得出结论．属于中档题． 【解答】解：令t =−x 2+x +6>0，求得−2<x <3，可得函数的定义域为{x|−2<x <3}， f(x)=g(t)=lgt ，本题即求函数t 在定义域内的减区间．∵y =lgt 在定义域上为增函数，t =−x 2+x +6在(−2,12)上单调递增，在(12,3)上单调递减， 利用二次函数的性质可得函数t 在定义域内的减区间为(12,3)， 故选D ．7.答案：C解析：解：∵函数f(x)=log a (4−ax)在(−2,2)上是减函数， ∴y =log a t 为增函数，且当x =2时，t =4−ax ≥0， 即{a >14−2a ≥0， 解得：a ∈(1,2]， 故选：C ．若函数f(x)=log a (4−ax)在(−2,2)上是减函数，则y =log a t 为增函数，且当x =2时，t =4−ax ≥0，解得a 的取值范围．本题考查的知识点是对数函数的图象和性质，熟练掌握对数函数的图象和性质，是解答的关键．8.答案：C解析：解：∵f(x)，g(x)分别是定义在R 上的奇函数和偶函数，且g(0)=0， ∴f(0)+g(0)=+20−b =1−b =0，得b =1，则f(1)+g(1)=1+2+1−1=3，f(−1)−g(−1)=−f(1)−g(1)=−[f(1)+g(1)]=−3， 故选：C ．根据函数奇偶性的性质下先求出b 的值，利用奇偶性进行转化求解即可．本题主要考查函数值的计算，结合函数奇偶性的性质，进行转化是解决本题的关键．9.答案：C解析： 【分析】本题考查分段函数的单调性的应用，函数的单调性的定义的理解，考查转化思想以及计算能力，属于一般题．判断函数的单调性．利用分段函数，结合单调性，得到不等式组求解即可． 解析：解：f(x)={x 2−4ax +3,x <1log a x +2a,x ≥1满足对任意x 1≠x 2，都有f(x 1)−f(x 2)x 1−x2<0成立， 分段函数是减函数，所以：{0<a <12a ≥14−4a ≥2a ，解得a ∈[12,23].故选：C ．10.答案：D解析：解：∵偶函数f(x)在(−∞,−2)上是增函数， ∴函数f(x)在(2,+∞)上是减函数， 则f(4)<f(72)<f(3)， 即f(4)<f(72)<f(−3)， 故选：D根据函数奇偶性和单调性之间的关系，即可得到结论．本题主要考查函数值的大小比较，根据函数奇偶性和单调性之间的关系，是解决本题的关键．11.答案：A解析： 【分析】根据分段函数和对数函数的单调性求解即可得结果． 【解答】解：由题得f(x)的定义域为(1,+∞)， 所以{a >1,4−a >1,解得1<a <3．当a ∈(1,2)时，f(a)>f(4−a)，即|ln(a −1)|>|ln(3−a)|， 所以−ln(a −1)>ln(3−a)， 故ln(−a 2+4a −3)<0，所以−a 2+4a −3<1，即(a −2)2>0， 故a ∈(1,2)．当a ∈[2,3)时，即|ln(a −1)|>|ln(3−a)|， 所以ln(a −1)>−ln(3−a)， 故ln(−a 2+4a −3)>0， 所以−a 2+4a −3>1， 即(a −2)2<0，无解． 综上，a 的取值范围为(1,2)． 故选A ．12.答案：B解析： 【分析】本题考查了利用导数研究函数的单调性极值与最值、不等式与方程的解法，考查了推理能力与计算能力，属于中档题．存在x ∈[0,2]，使得f(x)≥e ，⇔a ≥(2e 1−x +x)min ，x ∈[0,2].令g(x)=2e 1−x +x ，x ∈[0,2].利用导数研究其单调性极值与最值即可得出． 【解答】解：存在x ∈[0,2]，使得f(x)≥e ，⇔a ≥(2e 1−x +x)min ，x ∈[0,2]． 令g(x)=2e 1−x +x ，x ∈[0,2]．g′(x)=−2e 1−x +1，令g′(x)=−2e 1−x +1=0，解得x =ln2+1∈[0,2]， 当x ∈[0,ln2+1]时，g′(x)<0，当x ∈[ln2+1,2]时，g′(x)>0 可知：当x =ln2+1时，函数g(x)取得极小值，即最小值． ∴a ≥2e −ln2+ln2+1=2+ln2． ∴实数a 的取值范围是[2+ln2,+∞)． 故选B ．13.答案：(1,3)解析：本题考查指数函数的性质：定点问题，属基础题．由a0=1可得x值和此时的y值，进而可得定点．【解答】解：∵当x−1=0即x=1时，a x−1=1，∴y=1+2a x−1=3，∴函数的图象必过定点(1,3);故答案为(1,3)．14.答案：3解析：因为f(9)=f(3)+f(3)=2，所以f(27)=f(3)+f(9)=1+2=315.答案：211解析：【分析】本题考查函数值的求法，对数函数的性质、运算性质，及函数的周期性、奇函数的性质的综合应用，属于中档题．利用条件求出函数的周期、以及利用函数的性质逐步转化自变量是解题的关键．【解答】解：因为奇函数f(x)满足f(1−x)=f(1+x)，所以f(−x)=f(x+2)=−f(x)，则f(x)=f(x+4)，所以函数周期为4，则f(2019−a)=f(3−a)=f[1−(a−2)]=f[1+(a−2)]=f(a−1)，又因为0<a<1，所以a−1∈(−1,1)，则f(a−1)=lg1+a−11−a+1=lg a2−a=−1=lg110，解得a=211，故答案为211．16.答案：[13,2 3 )解析：由减函数可知f(x)在两段上均为减函数，且在第一段的最小值大于或等于第二段上的最大值，作出|f(x)|和y=2−x3的图象，根据交点个数判断3a与2的大小关系，列出不等式组解出．本题考查了分段函数的单调性，函数零点的个数判断，结合函数函数图象判断端点值的大小是关键，属于中档题．【解答】解：∵f(x)是R上的单调递减函数，∴y=x2+(4a−3)x+3a在(−∞,0)上单调递减，且y=log a(x+1)+1在(0,+∞)上单调递减，且f(x)在(−∞,0)上的最小值大于或等于f(0)．∴{3−4a2≥00<a<13a≥1，解得13≤a≤34．作出y=|f(x)|和y=2−x3的函数草图如图所示：∵|f(x)|=2−x3恰有两个不相等的实数解，∴3a<2，即a<23．综上，13≤a<23．故答案为[13,2 3 ).17.答案：解：(1)原式=2lg2+lg25+lg2⋅(1+lg5)+2lg5=2(lg2+lg5)+lg5(lg5+lg2)+ lg2=2+lg5+lg2=3．(2)∵a+a−1=5，∴a2+a−2=(a+a−1)2−2=23，∵(a12+a−12)2=a+a−1+2=7．再由a12+a−12>0，可得a12+a−12=√7．解析：(1)直接利用对数的运算性质，把要求的式子化为2lg2+lg25+lg2⋅(1+lg5)+2lg5，即2(lg2+lg5)+lg5(lg5+lg2)+lg2，进一步化简求得结果．(2)由a +a −1=5，求得a 2+a −2=(a +a −1)2−2=23，求得(a 12+a −12)2=a +a −1+2=7.再由a 12+a −12>0，求得a 12+a −12的值．本题主要考查对数的运算性质的应用，有理指数幂的化简求值，属于基础题．18.答案：解：∵{a −x >0x >0，∴0<x <a ，∴A =(0,a)∵2x >0，∴2x +1>1，∴B =(1,+∞) (1)当a =3时，A =(0,3)，A ∪B =(0,+∞)； (2)A ≠⌀时，{a >0a ≤1，∴0<a ≤1，综上可知：实数a 的取值范围为(0,1]．解析：(1)确定出A 与B ，利用并集定义可求A ∪B ； (2)根据当A ≠⌀得a 的范围即可．本题考查了集合间的基本运算及应用，集合中的参数问题，考查了函数定义域和值域的求法，难度中档．19.答案：解：(1)由1+x1−x >0，可得函数的定义域为(−1,1)，∵f(−x)=lg 1−x1+x =−lg 1+x1−x =−f(x)， ∴函数f(x)是奇函数； (2)1+x 1−x=−1+21−x 在(−1,1)上单调递增，∴f(x)在定义域上单调递增．解析：(1)求出函数的定义域，利用奇函数的定义进行判断； (2))1+x 1−x=−1+21−x在(−1,1)上单调递增，即可判断f(x)在定义域上的单调性．本题考查函数的单调性与奇偶性，考查学生的计算能力，属于中档题．20.答案：解：( I )因为函数f(x)为奇函数，且x ∈R ，故f(0)= 0;当x ∈(−∞,0)时，−x ∈(0,+∞)，f(−x)=(−x)2−(−x)+1=x 2+x +1=− f(x)， 则f(x)=−x 2−x −1; 故f(x)={x 2−x +1,x >00,x =0−x 2−x −1,x <0, (II)令g(x)= f(x)− mx +1=0， 解得f(x)=mx − 1．由图所示，要使曲线y = f(x)与直线y =mx −1有3个交点，则2个交点在第一象限，1个交点在第三象限，联立{y =x 2−x +1y =mx −1故x 2−(1+m)x +2=0，令△=0，解得(m +1)2−8=0，故m =2√2− 1(m =−2√2−1舍去)，故实数m 的范围为(2√2−1,+∞)．解析：本题考查函数解析式的求解及常用方法，考查根的存在性及根的个数判断，体现了数形结合的解题思想方法，是中档题．(1)设x ∈(−∞,0)，则−x ∈(0,+∞)，结合x ∈[0,+∞)的解析式及y =f(x)是定义域为R 的奇函数即可求得答案；(2)画出函数图象，数形结合得答案．21.答案：证明：(1)由已知f(1)=0，得：a +b +c =0，而a >b >c ，∴a >0，c <0，∴ac <0，∴Δ=4b 2−4ac >0；因此函数f(x)=g(x)有两个不同实根．(2)解：由题意知，F(x)=ax 2+2bx +c∴函数F(x)的图象的对称轴方程为x =−ba ，又∵a +b +c =0∴x =a +c a =1+c a <1 又a >0∴F(x)在[2,3]单增∴{F(2)=9F(3)=21, 即{3a +3b =98a +5b =21,∴{a=2b=1．解析：本题考查的知识点是二次函数图象与性质，二次函数在闭区间上的最值，熟练掌握二次函数的图象与性质，是解答本题的关键．(1)由已知中二次函数f(x)=ax2+bx+c和一次函数g(x)=−bx，分别求出a>0，c<0，易根据二次方程根的个数及△的关系，得到答案．(2)由题意可得F(x)=ax2+2bx+c，我们可根据二次函数在闭区间上的最值求法，结合函数F(x)在[2,3]上的最小值是9，最大值为21，构造关于a，b的方程，解方程即可求出答案．22.答案：解：(Ⅰ)当a=2时，f(x)=x2+2x+b=(x+1)2+b−1，∵关于x的方程|f(x)|−2=0有且只有两个不同的实根，∴−2<b−1<2，∴−1<b<3．∴实数b的取值范围为(−1,3)．(Ⅱ)①当−a2<1，即a>−2时，函数f(x)在区间[1,5]上单调递增，∵不等式−2⩽f(x)⩽2恒成立，∴{f(1)=1+a+b⩾−2f(5)=25+5a+b⩽2，可得−3−a⩽b⩽−23−5a，∴解得a⩽−5，与a>−2矛盾，不合题意．②当−a2>5，即a<−10时，函数f(x)在区间[1,5]上单调递减，∵不等式−2⩽f(x)⩽2恒成立，∴{f(1)=1+a+b⩽2f(5)=25+5a+b⩾−2，可得∴解得a⩾−7，这与a<−10矛盾，不合题意．③当1⩽−a 2⩽5，即−10⩽a ⩽−2时，∵不等式−2⩽f(x)⩽2恒成立，∴，整理得{b ⩽1−a b ⩽−23−5a a 24−2⩽b ， 即{a 24−2⩽1−aa 24−2⩽−23−5a ，即{a 2+4a −12⩽0a 2+20a +84⩽0, ∴{−6⩽a ⩽2−14⩽a ⩽−6，解得a =−6． 当a =−6时，则{b ⩽7b ⩽7b ⩾7，故b =7．∴a +b =1．综上可得a +b =1．解析：本题考查一元二次函数的图象和性质．(Ⅰ)当a =2时， f(x)=x 2+2x +b =(x +1)2+b −1，结合图象可得若方程|f(x)|−2=0有且只有两个不同的实根，只需|b −1|<2即可．(Ⅱ)由题意得只需满足{f(x)min ⩾−2f(x)max ⩽2即可，根据函数f(x)图象的对称轴x =−a 2与区间[1,5]的关系及抛物线的开口方向求得函数的最值，然后解不等式可得所求．。