广东深圳市福景外校2019-2020年高二上学期合格考阶段测试(Word版无答案)

2019-2020学年广东省深圳市福田区高二上期末考试
物理模拟试卷
一．选择题（共10小题，满分50分，每小题5分）
1．（5分）下列家用电器主要为了把电能转化为机械能的是（）
A．吸尘器B．充电器C．电水壶D．电冰箱
2．（5分）随着技术的进步，不少国产手机也已极具竞争力，如图所示，为一款手机电池的背面印有的一些符号，下列说法错误的是（）
A．该电池的容量为500mA•h
B．该电池的电动势为3.6V
C．该电池在正常工作时的额定电流为500mA
D．若电池以10mA的电流工作，可用50小时
3．（5分）关于电场，下列叙述中正确的是（）
A．以点电荷为圆心，r为半径的球面上，各点的场强都相同
B．正电荷周围的电场强度一定比负电荷周围的电场强度大
C．在电场中某点放入试探电荷q，该点的场强为E ＝，取走q后，该点场强不为零D．电荷所受电场力很大，该点的电场强度一定很大
4．（5分）某电解池中，若在2s内有1.0×1019个二价正离子和2.0×1019个一价负离子通过某截面，那么通过这个截面的电流是（）
A．0B．0.8 A C．1.6 A D．3.2 A
5．（5分）如图所示，M为带正电的金属板，其所带电荷量为Q，在金属板的垂直平分线上，距板r处放一质量为m、电荷量为q的小球，小球用绝缘细线悬挂于O点，小球受水平向右的电场力偏转θ角而静止，静电力常量为k，重力加速度为g，则小球与金属板之间的库仑力大小为（）
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2019-2020年高二上学期教学质量监测（段考）英语试题含答案欢迎你参加这次测试，祝你取得好成绩！第一部分：听力（共两节，满分30分）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。

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． What does the man like about the play?A．The story．B．The ending．C．The actor．2． At what time will the two speakers meet?A．5:20．B．5:10．C．4:40．3． What does the man think of the fast food?A．Delicious．B．Unhealthy．C．Not popular at all．4．Where does the conversation most probably take place?A．At a publishing house．B．At Professor Chomsky’s office．C．At a bookstore．5．What does the man imply about Sam?A．He would not have taken part in the fight if he hadn’t drink．B．He didn’t take part in the fight ．C．He always fights with others．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。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

2019-2020学年高二英语上学期阶段性测试试题考试说明：命题范围：外研社版选修7，选修8全部内容。

考试时间 100分钟，满分120分。

本试卷分第I卷客观题 70分，第II卷主观题 50分第I卷第一部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。

AAre you looking for some new and exciting places to take your kids to? Try some of these places：•Visit art museums. They offer a variety of activities to excite y our kids' interest. Many offer workshops for making handmad e pieces，traveling exhibits，book signings(签名)by children's favorite writers，and even musical performances and other arts.•Head to a natural history museum. This is where kids can dis cover the past from dinosaur models to rock collections and pi ctures of stars in the sky. Also，ask what kind of workshops and educational programs are pr epared for kids and any special events that are coming up.•Go to a Youtheater. Look for one in your area offering plays f or child and family visitors. Preshow play shops are conducte d by area artists and educators where kids can discover the s ecret about performing arts. Puppet(木偶)making and stage makeup are just a couple of the special offerings you might find.•Try handson science．Visit one of the many handson scienc e museums around the country. These science playlands are great fun for kids and grownups alike. They'll keep your child mentally and physically active the whole day through while pu shing buttons，experimenting，and building. When everyone is tired，enjoy a fun family science show，commonly found in these museums.1．If a child is interested in the universe，he probably will visit________.A．a Youtheater B．an art museumC．a natural history muse um D．a handson science mu seum2．What can kids do at a Youtheater?A．Look at rock collections.B．See dinosaur models. C．Watch puppet making.D．Give performances. 3．What does “handson science” mean in the last paragraph ?A．Science games design ed by kids.B．Learning science by d oing things.C．A show of kids' scienc e work.D．Reading science book s.4．Where does this text probably come from?A．A science textbook.B．A tourist map.C．A museum guide.D．A news report.BHoney from the African forest is not only a kind of natural sug ar，it is also delicious. Most people，and many animals，like eating it. However，the only way for them to get that honey is to find a wild bees' nest and take the honey from it. Often，these nests are high up in trees，and it is difficult to find them. In parts of Africa，though，people and animals looking for honey have a strange and une xpected helper-a little bird called a honey guide.The honey guide does not actually like honey，but it does like the wax in the beehives (蜂房)．The little bird cannot reach this wax，which is deep inside the bees' nest. So，when it finds a suitable nest，it looks for someone to help it. The honey guide gives a loud c ry that attracts the attention of both passing animals and peop le. Once it has their attention，it flies through the forest，waiting from time to time for the curious animal or person as it leads them to the nest. When they finally arrive at the nest，the follower reaches in to get at the delicious honey as the bir d patiently waits and watches. Some of the honey，and the wax，always falls to the ground，and this is when the honey guide takes its share.Scientists do not know why the honey guide likes eating the w ax，but it is very determined in its efforts to get it. The birds seem to be able to smell wax from a long distance away. They will q uickly arrive whenever a beekeeper is taking honey from his b eehives，and will even enter churches when beeswax candles are bein g lit.5．Why is it difficult to find a wild bees' nest?A．It's small in size.B．It's hidden in trees.C．It's covered with wax.D．It's hard to recognize. 6．What do the words “the follower” in Paragraph 2 refer to?A．A bee.B．A bird.C．A honeyseeker.D．A beeke eper.7．The honey guide is special in the way________．A．it gets its food B．it goes to churchC．it sings in the forest D．it reaches into bees' nests8．What can be the best title for the text?A．Wild Bees B．Wax and HoneyC．Beekeeping in Africa D．HoneyLover's HelperCMany New Zealand children are being studied for sleep disord ers(紊乱) after overloading on technology before bedtime. Specialist s say computers and televisions disturb sleep patterns and ca use learning, concentration and growth problems.Dr Alex Bartle, director of the Sleep Well Clinic, said that differ ent sorts of technology were keeping children awake. Comput er games and social networking sites such as Bebo and Face book were worse than TV for exciting young minds because t hey were more interactive(互动的). They should be switched off at least an hour before bedti me. “To fall asleep, you need to have a certain amount of cal mness in the brain,” said Bartle. “being excited doesn’t help th ose brainwaves settle.”Professor Philippe Gander, director of Massey University’s Sl eep / Wake Research Centre, said poor sleep had been linke d to learning, behavioral and growth problems.Bartle said parents should make sure that children were well-rested and not kept awake by the technology surrounding the m. “They need to encourage kids to get out during the day. Watching TV or playing on computers as soon as they get home isn’t good from a sleep point of view. Parents need to be stro ng enough to remove TVs or computers.”In Britain, National Health Service data show almost 3,000 un der-11s were referred to specialists for problems such as sleeples sness and sleep-walking(梦游) in 2007, up 26 percent from 2002.While there are no figures in New Zealand, experts have no d oubt that the number of children in need of help is on the incre ase. “We have the same sorts of technology, the same lifestyl es,” said Bartle.The Child Health Research Foundation in New Zealand has f unded(资助) studies on sleep problems and is waiting for the results.9. What does “technology” mainly refer to according to the pa ssage?A. pianos and guitarsB. televisions and computersC. learning machinesD.MP3s and MP4s10. According to Dr Alex Bartle’s opinion, we can learn that __ ____.A. Children should not watch TV or play online games in the eveningB. Watching TV does more harm to children than playing com puter gamesC. Some parents fail to set a limit on the time their children sp end on technologyD. About 3,000 New Zealand under-11s have sleep problems in 200711. Experts are sure that the number of New Zealand children with sleep problems is increasing because _____.A. New Zealand children play more online games than British childrenB. They have exact data from National Health ServiceC. New Zealand children are in the same situation as the Briti sh childrenD. They have exact data provided by hospitals12. What is the main idea of the passage?A. Children like computer games.B. Technology disturbs children’s sleep.C. The ways of dealing with sleep disorders.D. New Zealand parents should prevent children from watchin g TV.DAbout twenty of us had been fortunate enough to receive invit ations to a film studio(影棚) to take part in a crowdscene. Although our “act” would last only for a short time，we could see quite a number of interesting things.We all stood at the far end of the studio as workmen prepared the scene，setting up trees at the edge of a winding path. Very soon，bright lights were turned on and the big movie camera was wh eeled into position. The director shouted something to the ca mera operator and then went to speak to the two famous acto rs nearby. Since it was hot in the studio，it came as a surprise to us to see one of the actors put on a h eavy overcoat and start walking along the path. A big fan beg an blowing tiny white feathers down on him，and soon the trees were covered in “snow”．Two more fans were turned on，and a “strong wind” blew through the trees. The picture looke d so real that it made us feel cold.The next scene was a complete contrast(对比)．The way it was filmed was quite unusual. Pictures taken on an island in the Pacific were shown on a glass screen. Anactor and actress stood in front of the scene so that they look ed as if they were at the water's edge on an island. By a simpl e trick like this，palm trees，sandy beaches，and blue，clear skies had been brought into the studio!Since it was our turn next，we were left wondering what scene would be prepared for us. For a full three minutes in our lives we would be experiencing the excitement of being film “stars”！13．Who is the author?A．A cameraman.B．A film director.C．A crowdscene actor.D．A workman for scene setting.14．What made the author feel cold?A．The heavy snowfall.B．The manmade scene. C．The low temperature.D．The film being shown. 15．What would happen in the “three minutes” mentioned in t he last paragraph?A．A new scene would be filmed.B．More stars would act i n the film.C．The author would leav e the studio.D．The next scene would be prepared.第二节（共5小题，每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填人空白处的最佳选项，选项中有两项为多余选项。

2019-2020学年深圳福田福景外语学校高三英语第二次联考试卷及答案第一部分阅读（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AStudents, teachers, and local community members are strongly encouraged to register online to receive real-time information of emergency events fromColumbiaUniversity.Text message warnings will only be used in rare cases where ongoing events causean immediate threat or have a significant influence. Possible situations include severe weather conditions, emergency campus closures, crimes in progress that may endanger the community, and major transportation interruptions.Read instructions on how to sign up for emergency notifications（通知）.ColumbiastudentsColumbiastudents can easily register for text message notifications. Simply enter Student Services Online, click on "Text Message Enrollment" and add your cellphone number. Students can register parents or family members by following the instructions for the public below.ColumbiateachersColumbiateachers can register for text message notifications by following the step by step instructions below:● Register with your UNI and password .● Select "Faculty & Staff"at the top of the page.● Select "Contact Details".● Click the "+" under "Phone".● Select "Campus Alert 1".● Enter your mobile number.To receive emergency information on additional mobile phones, you may follow the above instructions for "Campus Alert2" and "Campus Alert 3" for a total of three.Community/General PublicCommunity/General Public interested in receiving emergency information fromColumbiacan sign up by clicking on the "Register" button on the registration page and entering their email and mobile number. Users will receive confirmation code（密码）on their phone and will need to confirm their account via email.Users can choose not to use the Emergency Text Alert System at any time by texting STOP to 226787, calling 226789 or sending an email tolr27682@.1.Which is a possiblesituation where a text message will be sent?A.The temperature will drop slightly tomorrow.B.The campus will be closed during Christmas.C.The main railway system of the city is interrupted.D.A bank robber is being sentenced in the court of the city.2.Which step comes before the others when teachers register?A.Selecting Campus Alert.B.Entering mobile numbers.C.Clicking "+" under "Phone".D.Selecting "Faculty& Staff".3.How can users stop receiving text messages?A.By sending an email.B.By texting STOP to 226789.C.By managing information online.D.By making a phone call to 226787.BMikah Frye, a 9-year-old boy, was walking down the streets with his grandmother discussing Christmas gifts when he saw some homeless people struggling to stay warm in the cold night. Then he was thinking about a way to help the homeless to spend a warm Christmas.That thought stayed in Mikah Frye’s mind and when he reached home, Mikah informed his parents not to buy the Microsoft XBox gaming device he had asked for earlier. Mikah realized that by not buying the $300 device, he could instead donate over 30 blankets to the homeless. He knew how much it meant to be warm in the cold holiday season.Three years ago, Mikah and his parents were the ones living in a homeless shelter. Having suffered a financial crisis, they too had lost their house, not knowing where their next meal would come from and sharing a blanket every night. Mikah was six years old then but he remembered what it was like to have to give back that precious blanket every morning.Reaching out to the emergency shelter programme that looked after them 3 years ago, the family donated 60 blankets in the end, each with a personalized message of hope in Mikah’s handwriting stating: “They gave me a blanket, but I had to leave it. That’s why I want you to have your own blanket. Today, I live in my own house, andsomeday you will too. Your friend, Mikah.”The homeless people at the shelter may not have been able to give Mikah a Christmas gift in return but his gesture was noted by the billion dollar company Microsoft who made sure that Mikah was fooled into visiting their store so that Santa Claus could personally deliver an XBox from the company to him as a reward for making the top of “Santa’s list of nice boys” that year.4. Why did Mikah give up his Christmas gift?A. The device was out of date.B. His parents had a tight budget.C. He wanted to spend a warm Christmas.D. He decided to do something charitable.5. What made Mikah have a better understanding of the situation of the homeless?A. His own experience.B. His parents’ education.C. His visiting to the emergency shelter.D. The cold weather during the holiday season.6. What can be inferred from the last two paragraphs?A. The homeless gave Mikah a gift in return.B. He finally got the gift he wanted on Christmas.C. The company Microsoft fooled Mikah into buying an Xbox.D Mikah wrote a thank-you note to the emergency shelter he lived in.7. What might be the best title for the text?A. Mikah’s Precious Christmas GiftB. Mikah’s Giving Warmth on ChristmasC. Microsoft Rewarded Nice Boys on Santa’s ListD. The Homeless Needed Blankets on a Cold ChristmasCBe it from the mouths of foreigners who have lived here for a few years or from stories on travel websites, one of the most common qualities that people list about Shanghai is the infectious energy that courses through the city.For some, this energy is defined by the way of life—Shanghai is a city that never sleeps. In the day, the streets arc always bustling with people from all over the world. After all, the city has long been China’s most cosmopolitan city, having been the epicenter of trade and cultural exchange between Chinese and foreigners since the city was forced to open its door to the world in 1843 after the First Opium War (1840-42).Shanghai’s ubiquitous delivery people can be found on the roads even past midnight, rushing from point topoint on their trusty electric scooters to satiate the hunger of night owls. Even before the break of dawn, pensioners can be found gathering in parks, ready to kick start their day with a tai chi session.For others, this energy is generated from the friction between the contrasts the city has. Indeed, it does not take long for one to realize that Shanghai's charmlies in it being a binary of old and new.Here, charming neoclassical architecture and art deco structures stand alongside modem buildings with shimmering glass and metal facades, rustic (质朴的)lane houses and shikumen buildings. Humble mom-and-pop shops that look stuck in time can often be found right next tohipdining venues or industrial-chic fashion stores selling designer apparel.One of the best places to get an overview of these surreal contrasts is none other than the tallest building in the city — the Shanghai Tower in Lujiazui. Measuring a dizzying 632 meters in height, this architectural marvel boasts having the world's highest observation deck within a building or structure. It also comes with the world's fastest elevators which would get you from the bottom to the top at 20.5 meters per second.On the other side of the Huangpu River is where you would find the Bund, which is home to magnificent neoclassical buildings. The Bund is to Shanghai what Times Square is to New York or what the Champs-61ysees is to Paris. A trip to Shanghai would not be complete without exploring this iconic waterfront promenade.Autumn is the best time to experience Shanghai on foot, not merely because the weather is conducive for walking, but because this is when the roads and sidewalks in many areas are blanketed with a layer of color1 ful fallen leaves.8. Why is the example of delivery man mentioned?A. To make a contrast with pensioners’ biological clock.B. To illustrate the vibrant energy of modern Shanghai.C. To highlight the diligence and consideration of delivery man.D. To feature the courier delivery service in full swing.9. Which of the following is TRUE about the contrast of Shanghai?A. The contrast mainly arises from the First Opium War.B. The design of the Shanghai Tower stands for a contrast.C. A marked contrast is shown in the use of building materials.D. The dishes served in mom-and-pop shops represent the outdated flavor.10. The underlined word “hip” in paragraph 5 is closest in meaning to________.A. photographicB. modestC. peculiarD. stylish11. Which of the following will be most probably discussed following the last paragraph?A. Stunning views of the Shanghai skyline.B. The best places to view the seasonal spectacle.C. The walking path thathugs the Huangpu River.D. Must-try dishes and food items typical of Shanghai.DIn the old days, when you had to drive to a movie theater to get some entertainment, it was easy to see how your actions could have an impact（影响）on the environment. After all, you were jumping into your car, driving across town, coughing out emissions（产生排放）and using gas all the way. But now that we're used to staying at home and streaming movies, we might get a littleproud. After all, we're just picking up our phones and maybe turning on the TV. You're welcome. Mother Nature.Not so fast, says a recent report from the French-based Shift Project. According to "Climate Crisis: The Unsustainable Use of Online Video", digital technologies are responsible for 4% of greenhouse gas emissions, and that energy use is increasing by 9% a year. Watching a half-hour show would cause 1. 6 kilograms of carbon dioxide emissions. That's like driving 6. 28 kilometers. And in the European Union, the Eureca project found that data centers（where videos are stored）there used 25% more energy in 2017 compared to just three years earlier, reports the BBC.Streaming is only expected to increase as webecome more enamored ofour digital devices（设备）and the possibility of enjoying entertainment where and when we want it increases. Online video use is expected to increase by four times from 2017 to 2022 and account for 80% of all Internet traffic by 2022. By then, about 60% of the world's population will be online.You're probably not going to give up your streaming services, but there're things you can do to help lessen the impact of your online use, experts say. For example, according to Lutz Stobbe, a researcher from the Fraunhofer Institute in Berlin, we have no need to upload 25 pictures of the same thing to the cloud because it consumes energy every time. If instead you delete a few things here and there, you can save energy. Moreover, it's also a good idea to stream over Wi-Fi, watch on the smallest screen you can, and turn off your Wi-Fi in your home if you're not using your devices.12. What topic is the first paragraph intended to lead in?A. The environmental effects of driving private cars.B. The improvements on environmental awareness.C. The change in the way people seek entertainment.D The environmental impacts of screaming services.13. What does the underlined phrase become more enamored of" in paragraph 3 probably mean?A. Get more skeptical of.B. Become more aware of.C. Feel much crazier about.D. Get more worried about.14. What can we infer about the use of streaming services?A. It is being reduced to protect the planet.B. Its environmental effects are worsening.C. It is easily available to almost everyone.D. Its side effects have drawn global attention.15. Which of the following is the most environmentally-friendly?A. Watching downloaded movies on a mobile phone.B. Downloading music on a personal computer.C. Uploading a lot of images of the same thing.D. Playing online games over mobile networks.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学年深圳福田福景外语学校高三英语第二次联考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AIf you had the opportunity to live forever, would you take it? Keeping your body alive indefinitely still seems like an impossibility, but some scientists think that digital technology may have the answer: creating a digital copy of your “self” and keeping it “alive” online long after your physical body has ceased to function.In effect, the proposal is to clone a person electronically. Unlike the familiar physical clones — children that have identical features as their parents, but that are completely separate organisms with a separate life — your electronic clone would believe itself to be you. How might this be possible? The first step would be to mapthe brain.How? One plan relies on the development of nanotechnology (纳米技术). Ray Kurzweil — one of the kings of artificial intelligence — predicts that within two or three decades we will have nano transmitters that can be put into the bloodstream. Inthe capillaries (毛细血管) of the brain, they would line up alongside the neurons and detect the details of the cerebral (大脑的) electronic activity. They would be able to send that information to a receiver inside a special helmet, so there would be no need for any wires sticking out of the head.As a further step, Ray Kurzweil also imagines the nano transmitters being able to connect you to a world of virtual reality on the Internet, similar to what was shown in the film “Matrix”. With the nano transmitters in place, by thought alone, you could log on to the Internet and instead of the pictures coming up on your screen, they would play inside your mind. Rather than send your friends e-mails you would agree to meet up on some virtual tropical beach.Some peoplebelieve that they can enjoy life after death. But why wait for that when you could have a shot of nanobots (纳米机器人) and upload your brain onto the Internet and live forever as a virtual surfer?One snag: to exist on the net you will have to have your neural network parked on the computer of a web-hosting company. These companies want real money in real bank accounts every year or they will wipe your bit of the hard disc and sell the space to someone else. With your body six feet underground how will you pay?1. Which of the following statements is TRUE according to the passage?A. Nano transmitters can help map the human brain.B. Electronic clones recreate the original human body.C. Electronic clones may put their physical selves into movies.D. Nano transmitters use a helmet to detect the cerebral activities.2. What is the author’s attitude towards electronic clones?A. Optimistic and careful.B. Interested and unconvinced.C. Excited and confused.D. Assured and critical.3. The author asks “how will you pay?” at the end of the article, because ________.A. you can’t pay to exist on the Internet if you are physically deadB. you can’t pay for hard disc space if you don’t have a bank accountC. you can’t pay for a special service if too many people want to use itD.you can’t pay the web-hosting company if you don’t have a neural networkBThe Rise of Voice TechnologyVoice technology has come a long way. Just a few years ago, it would have been unusable. But now, those who follow the technology know that it has got considerably better.Writing with your voice raises several interesting questions. How difficult is it actually? Human speech involves a lot more starting and stopping with errors and the need for repairing broken sentences than you may think. Even gifted speakers make mistakes. To turn the spoken word into reasonable writing requires lots of planning. You’ll need some kinds of notes or other organisers to make it work.Another question turning speech into writing raises is the style. How would writing make the change that people speak their writing rather than type? Chances are that it would come up with many more short sentences and more concrete language, which is good. It would probably also rely on prepared phrases a lot more often, which is not available when you are speaking quickly.To confirm this, a column was not written, but dictated (听写). It was composed from brief notes written down for structure only, and it was edited for length, with all of the original errors kept in. Here were the results. The first was that the literal accuracy was extremely high. There weren’t many cases wherethe software had heard one word incorrectly and written down another. But the other result was that the readability of this column was rather bad. Obviously, the blame is not with the technology at all, which turns out to be rather good. Speaking into writing relies on a better human brain than the one we currently possess. Writing is hard. There’s a reason it can’t be done at the speed of speech, in real time.To clarify the matter, this time paragraph breaks were added after the whole writing. Punctuations (标点) had to be spoken aloud, and after a full stop, the first word in the new sentence was capitalized automatically. Some minor punctuation marks were added to make it clearer. To improve accuracy, people “trained” the software beforehand, reading a prewritten passage aloud. Actually it turns out to be more effective. All of these ensure the satisfactory completion of turning speech into writing.Language is the most important tool for human interaction, and voice is one beautiful part of language. With the maturity of modern technology, it has given birth to a great change in the human-computer voice interaction.4. According to the passage, which helps to turn speech into writing in terms of style?A. There is careful planning in advance.B. Errors and broken sentences are avoided.C. People type words as fast as they say them.D. The writing contains more prepared phrases.5. To achieve better results, the author mentions some changes for ______.A. processing errors in a column.B. adding minor punctuation marks.C. increasing the number of brief notes.D. integrating short paragraphs in writing.6. The author suggests that ______.A. human brains are responsible for poor dictated writing.B. writing with voice promises to improve the quality of writing.C. writing is an unnatural act that can hardly be learned and improved.D. technology has a long way to go in the human-computer voice interaction.7. What is the passage mainly about?A. Why people fully intend to turn speech into writing.B. What role voice technology plays in improving readability.C. Where the human-computer voice interaction is at an advantage.D. How voice technology enables the change from speech into writing.CSlowing down was the last thing on Elaine Schaefer's mind when she turned 70 last year. She'd enjoyed an ambitious travel schedule for the previous decade. She didn't feel too old to travel.Yet many people are asking that slightly embarrassing question: Can you be too old to travel? The travel industry has already responded. Try renting a car inEurope, for example. InCroatia, Schaefer wouldn't be able to this year, because the maximum age is 70. Insurance companies require higher rates; tour operators limit certain activities. That feels like a " no" for many travelers.Definitely some folks should think twice before traveling, but not only based on their age. It's their level of fitness, says Kirsten Veldman, a former tour guide who now edits a retirement blog. She recalls a 93-year-old who was disabled and traveling alone on aCaribbeantour. "You can't expect to ask a tour leader to be there for you 24/7 for medical care. " she says. "Tour guides don't have the time, skills, and knowledge for it. So, in this case, my advice is: he shouldn't have traveled with us in this situation. "But some tour operators serve older travelers. For example, Grand Circle Travel started in 1958 to serve senior members. “We have travelers into their 80s and even 90s. Some travel as a couple and some alone,” says company spokeswoman Ann Shannon. “We have no age limit.”If you ask travel experts, they'll tell you that age is just a number. It's a question of physical, and to a certain extent, mental ability. "Many of our travelers are retired, focused on keeping their good health, and are experienced travelers who have a good idea of what to expect, "says Sara Baer-Sinnott, president of Oldways, a food and nutrition nonprofit that operates tours. "Someone in their 40's may struggle more than someone in their 80s. "8. What is expected if Schaefer travels inCroatiathis year?A. She can rent a car to go around.B. She has to pay more insurance fees.C. She can join in all kinds of activities.D. She will receive 24/7 medical care.9. What caused Veldman to disapprove of the 93-year-old's traveling?A. His old age.B. His lack of money.C. His poor health.D. His in sociable personality.10. What do we know about Grand Circle Travel?A. It is a non-profit traveling organization.B. It offers service to a wide range of travelers.C. It has a history of more than seven decades.D. Its main customers are senior travelers.11. What is the authors altitude towards traveling old?A. Opposed.B. Supportive.C. Tolerant.D. Objective.DMy first week working in a restaurant, one of the servers said something that stuck with me: Everyone should work in a restaurant for at least a year. At the time, I didn't get it, but I took the advice to heart and worked in restaurants on and off for the next eight years. Before realizing it, I mastered many important skills, one of which is communication skill.When I was little, I was so shy that I used to hide behind my mom whenever someone spoke to me. And when I first started in restaurants, I had two personalities: Restaurant Lizzy and Home Lizzy. It was easier to pretend to be a different person while at work, since it was so different from who I actually was. But gradually, the skills I learned working in restaurants helped Home Lizzy come out of her shell in the real world.When you work in a restaurant, you don't have the luxury of hiding behind your parents to avoid talking to people. I'm still 110% an introvert, but restaurant work helped me communicate. Working in a restaurant not only helped me speak clearly, deliberately and directly but also taught me how to talk about almost everything. Some guests don't want their servers to interact too much with them, and that's fine. But some sit at the bar simply to chat with you. You learn how to judge your guests' level of interest in communicating with you, and how to exit a conversation at the appropriate time.My restaurant work is something that I'm most proud of and I know I wouldn't be the person I am today without those eight years of experience. If you're still on the fence about working in a restaurant for that long, start with one year. I doubt that you'll look back.12. What did the writer think of the server's words?A. Impressive.B. Ridiculous.C. Amusing.D. Logical.13. What do we infer from Paragraph 2?A. The writer tried different jobs.B. The writer became more sociable.C. The writer used an invented name.D. The writer had a hard time at work.14. Which of the following best describes the writer's restaurant work?A. Boring.B. Relaxing.C. Worthwhile.D. Unchallenging.15. What message does the writer try to convey in this passage?A. A strong-willed soul can reach his goal.B. Things are difficult before they are easy.C. Communication skills advance your career.D. Restaurantwork helps to achieve a better self.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学年深圳福田福景外语学校高三英语上学期期末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AContact CCA's Special Programs to learn more about our wide range of credit and noncredit opportunities for academic and personal development.Summer ProgramAn exceptional 4-week program for students currently completing their study of high school.Earn 3 college credits!Our setting is CCA's Oakland campus, where studio-focused, college-level courses help you push beyond concepts to portfolio(作品集)－ready pieces. On-campus Housing & Scholarships available!Summer CoursesCCA offers about 35 for-creditdegree courses each summer, scheduled on theSan FranciscoandOaklandcampuses.Undergraduate and graduate students can work with a visiting artist, develop skills and stay on track for graduation by earning credits...all while still allowing time to visit family, work, travel, etc.For information about summer housing, please contact the Office of Residential Life at 510594722 or housing@ ca. edu.Summer StartSummer Start is a six-week program designed specifically for international undergraduate and graduate students. This is a for-credit program; students receive six credits towards their degree. During the program, you must live on CCA'sSan Franciscocampus.Tuition includes six units of discounted graduate college credit, which will include books, field trip expenses and one-on-one tutoring. Housing fees include six weeks at CCA's San Francisco Panoramic Residence.Company-Customized ProgramsCCA's Office of Special Programs can design customized workshops to develop and strengthen employee skills within your company. Customized programs have included:An Ideation Sketching class, for the design team of a national clothing retailer, scheduled Friday afternoonsonSan Franciscocampus.Software-specific workshops, for designers from a national paper products and gifts retailer, scheduled in a two-day workshop format during the week on ourOaklandcampus.1.Who would most potentially apply for Summer Program?A.Employees in companies.B.International undergraduate and graduate students.C.High school graduates.D.Undergraduate and graduate students.2.What can students do if they take Summer Courses?A.Go on a field trip.B.Visit famous artists.C.Make some friends.D.Earn some credits.3.What are students required to do if they take Summer Start?A.Live on one of the campuses.B.Pay school fees in advance.C.Read as many books as possible.plete the courses on time.BMy wife and I recently completed a day-long tour of the Great Wall with Jessie. In addition to being very knowledgeable about the history of theareas that we toured, she spoke excellent English and was able to answer all of our questions. Her driver was very experienced and polite, and we really enjoyed being able to have a customized tour that avoided the tourist traps and forced shopping that seem to be a part of the larger group tours.The attractions themselves were fantastic. I was a little worried that the snowy weather might impact our trip to the Great Wall, but everything went fine, and there weren’t many people out at all that day. I suggest wearing strong shoes—the Great Wall is really a hike. And in snowy or rainy days, the surfaces are pretty slippery (滑的)! Seeing this area in winter was really unique, and the snow made for great pictures. Jessie kept us entertained with stories and facts about the construction of the Wall, and always pointed out great spots for taking pictures. Even though she’s in fantastic shape, she cared about our level of fitness and often stopped to let us catch our breath.When we got back to our hotel, Jessie gave us a great recommendation for dinner and some tips for our planned stops the next day. If I find myself in Beijing in the future, I will certainly be contacting Jessie for more tour opportunities, and I’ve already recommended her to some friends who are visiting the area later in the year. I can’t say enough about how kind and knowledgeable she was, and she really gave us a great tour experience.4. What can we infer about Jessie?A. She is a tour advisor.B. She is a tour guide.C. She is a foreign traveler.D. She is a skilled driver.5. When did the writer visit the Great Wall?A. In spring.B. In summer.C. In autumn.D. In winter.6. What did the writer think of his tour?A. Adventurous.B. Disappointing.C. Satisfactory.D. Improvable.7. What is the probable title for the text?A. A Wonderful Tour Day with JessieB. An Extraordinary Tour CompanyC. The Great Wall, an Excellent AttractionD. Jessie, a Kind and Knowledgeable GuideCPeggy Whitson's job demands a daily two­hour workout in a gym where weight has no meaning and the view changes at 17,000 miles an hour.Whitson makes it look easy. At 57, she is the oldest woman to fly in space, breaking the record last November, 2016, when she began her third long­term stay at the International Space Station. After returning home in September, 2017, the NASA astronaut feltmatter­-of­-factabout the age milestone.“It wasn't a record I was seeking for,” Whitson said. “I was 42 and 48 for my first two space flights. I feel lucky that I was able to get to do another one in my 50s. I don't think people should let age discourage them, even on those jobs that require some amount of physical fitness. The oldest man is John Glenn (at 77), and we've had male astronauts in their 60s before, so it's just a matter of time before women start flying in space at this age”.On the earth, she stays fit by weightlifting, biking, playing basketball and water skiing. She shared what it's like to live in microgravity: “It's like you're in a swimming pool, but you don't have to worry about breathing. If I push off from one side, I'm going to float to the other side. Every direction feels exactly the same, which is really hard for your brain to grasp, but it's amazing how fast you adapt.It's a big shock for the body to come back to Earth—everything is so heavy. We spend a lot of time getting used to being back in gravity again. Back pain was really the most dramatic for me this time. For me, coming home is harder than going up into space.”8. How long did Peggy Whitson spend for her third stay in the International Space Station?A. About 300 days.B. About 708 days.C. About 107 days.D. About57 days.9. What does the underlined word probably mean in the passage?A. Amazing.B. Not surprising.C. Enthusiastic.D. Unbelievable.10. According to the passage, which of the following is true?A. Peggy Whitson likes swimming most.B. Peggy Whitson is the oldest person to fly in space.C. Peggy Whitson had been in space in 2002 and 2008.D. There had been female astronauts over 60s flying in space before.11. Which of the following will Peggy Whitson probably say?A. You can still be successful and do physical things when old.B. I spent quite a lot of time getting used to the life in space.C. The moment we reached the earth, we felt so relaxed.D. I feel lucky that I am physically well after the whole journey.DHappiness is not a warm phone, according to a new study exploring the link between young life satisfaction and screen time. The study was led by professor of psychology Jean M. Twenge at San Diego State University (SDSU).To research this link, Twenge, along with colleagues Gabrielle Martin at SDSU and W. Keith Campbell at the University of Georgia, dealt with data from the Monitoring the Future (MtF) study, a nationally representative survey of more than a million U. S. 8th-, 10th-, and 12th-graders. The survey asked students questions about how often they spent time on their Phones, tablets and computers, as well as questions about their face-to-face socialinteractions and their overall happiness.On average found that teens who spent more time in front of screen devices — playing computer games, using social media, texting and video chatting — were less happy than those who invested more time in non-screen activities like sports, reading newspapers and magazines, and face-to-face social interactions."The key to digital media use and happiness is limited use," Twenge said. "Aim to spend no more than two hours a day on digital media, and try to increase the amount of time you spend seeing friends face-to-face and exercising — two activities reliably linked to greater happiness."Looking at historical trends from the same age groups since the 1990s, it's easy to find that the increase of screen devices over time happened at the same time as a general drop-off in reported happiness inU. S.teens. Specifically, young peopled life satisfaction and happiness declined sharply after 2012. That's the year when the percentage of Americans who owned a smartphone rose above 50 percent. By far the largest change in teens' lives between 2012 and 2016 was the increase in the amount of time they spent on digital media, and the following decline in in-person social activities and sleep.12. Which method did Twenge's team use for the study?A. Calculating students' happiness.B. Asking students certain questions.C. Analyzing data from a survey.D. Doing experiments on screen time.13. How does the author develop the finding of the study in paragraph 3?A. By making a comparison.B. By giving an example.C. By making an argument.D. By introducing a concept.14. What is the purpose of the last paragraph?A To draw a conclusion from the study.B. To offer some advice to the readers.C. To prove social activities' importance.D. To support the researchers' finding.15. Which of the following can be the best title for the text?A. Quitting Phones Equals HappinessB. Screen Time Should Be BannedC. Teens' Lives Have Changed SharplyD. Screen-addicted Teens Are Unhappier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。

深圳市福田区外国语高级中学2019－2020学年度第一学期高二年级期末考试化学学科试题(选择考)一、选择题(本题共15小题，每小题3分，共45分，在每小题只有一个选项是符合题目要求的)1．制作下列生活中物质的化学成分不正确的是（）A．(造币纸张—纤维素)B．(丝绸—蛋白质)C．(羊毛—纤维素)D．(尼龙丝袜—合成纤维)2．下列过程中，不需要外加电源就能进行的是（）①电解；②电镀；③电离；④电化学腐蚀A．①②B．①③C．②③D．③④3．若H2S的燃烧热化学方程式为H2S(g)＋aO2(g)＝X＋cH2O(l)ΔH，则X应为（）A．S(s)B．SO2(g)C．SO3(g)D．SO3(l)4．已知反应：HCl(g)＝1/2H2(g)＋1/2Cl2(g)∆H＝＋92.3kJ⋅mol1-，则反应H2(g)＋Cl2(g)＝2HCl(g)的∆H 为（）A．－184.6kJ⋅mol1-B．－92.3kJ⋅mol1-C．－369.2kJ⋅mol1-D．＋92.3kJ⋅mol1-5．下列说法正确的是（）A．当反应S(g)＋O2(g)＝SO2(g)在某一时刻的浓度商Qc＞K时，表示该反应正在向正反应方向进行B．通过直接蒸发MgCl2溶液的方法获取无水氯化镁固体C．在轮船吃水线以下的铁板上铆一些锌块，是外接电流的阴极保护法防腐蚀D．测定中和热的实验中，参与反应的酸或碱，无论谁过量，都不影响中和热的数值6．下列关于有机化合物的说法正确的是（）A．2－甲基丁烷也称异丁烷B．烷烃的正确命名是2－甲基－3－丙基戊烷C．CH4H9Cl有3种同分异构体D ．三元轴烯()与苯互为同分异构体7．如图曲线表示其他条件一定时，2NO (g )＋O 2(g ) 2NO 2(g )∆H ＜0反应中NO 2的百分含量与温度的关系曲线，图中标有a 、b 、c 、d 四点，其中表示未达到平衡状态，且v (正)＞v (逆)的点是（）A ．a 点B ．b 点C ．c 点B ．d 点8．已知反应2A (g ) 2B (g )＋C (g )∆H ＜0，达平衡时，要使c (A )增大同时使v (正)增大，应改变的条件为（）A ．减小容器容积B ．增大容器容积C ．减小B 的浓度D ．降温9．①c (H ＋)＝0.01mol /L 的CH 3COOH 溶液；②c (H ＋)＝0.01mo /L 的H 2SO 4溶液；③c (OH －)＝0.01mol /L 的氨水;④c (OH －)＝0.01mol /L 的NaOH 溶液．室温条件下，有关上述溶液的比较中，正确的是（）A ．水电离的c (H ＋)：①＝②＝③＝④B ．将②、④溶液混合后，pH ＝7，消耗溶液的体积：②＜④C ．等体积的①、②、④溶液分别与足量铝粉反应，生成H 2的量；②最大D ．向10mL 上述四溶液中各加入90mL 水后，溶液的pH ：③＞④＞①＞②10．在密闭容器中发生反应aX (g )＋bY (g ) cZ (g )＋dW (g )，反应达到平衡后，保持温度不变，将容积扩大到原来的2倍，当再次达到平衡时，W 的浓度为原平衡时的3/5，下列叙述正确的是（）A ．平衡向逆反应方向移动B ．a ＋b ＜c ＋dC ．X 的体积分数增大D ．X 的转化率减小11．为提升电池循环效率和稳定性，科学家近期利用三维多孔海绵状Zn (3D －Zn )可以高效沉积ZnO 的特点，设计了采用强碱性电解质的3D －Zn －NiOOH 二次电池结构如下图所示电池反应为Zn (s )＋2NiOOH (s )＋H 2O (l )−−−→←−−−放电充电ZnO (s )＋2Ni (OH )2(s )．下列说法错误的是（）A ．三维多孔海绵状Zn 具有较高的表面积，所沉积的ZnO 分散度高B．充电时阳极反应为Ni(OH)2(s)＋OH－(ag)－e－＝NiOOH(s)＋H2O(l)C．放电时负极反应为Zn(s)＋2OH－(aq)－2e－＝ZnO(s)＋H2O(l)D．放电过程中OH－通过隔膜从负极区移向正极区12．某温度下，BaSO4在水中的沉淀溶解平衡曲线如图所示．下列说法正确的是（）A．该温度下，BaSO4的K甲＝2×1010-B．a点和c点对应的K sp相等C．b点溶液未饱和，无BaSO4沉淀生成D．加入Na2SO4可以使溶液由d点变到c点13．0.100mol⋅L1-的NaAc与0.100mol⋅L1-的HAc的混合物溶液中，离子浓度关系正确的是（）A．c(Na＋)＞c(Ac－)＞c(H＋)＞c(OH－)B．c(Ac－)＞c(Na＋)＞c(H＋)＞c(OH－)C．c(Na＋)＝c(Ac－)＞c(H＋)＝c(OH－)D．c(Na＋)＋c(Ac－)＝c(H＋)＋c(OH－)14．醋酸溶液中存在电离平衡：CH3COOH H＋＋CH3COO－，下列叙述不正确的是（）A．升高温度，平衡正向移动，醋酸的电离常数K a增大B．0.10mol⋅L1-的CH3COOH溶液加水稀释，溶液中c(OH－)增大C．CH3COOH溶液中加少量的CH3COONa固体，平衡逆向移动D．25℃时，欲使醋酸溶液的pH、电离常数K a和电离程度都减小，可加入少量冰醋酸15．已知反应2C(s)＋O2(g)＝2CO(g)的∆H＜0，∆S＞0．设∆H和∆S不随温度而变，下列说法中正确的是（）A．低温下才能自发进行B．高温下才能自发进行C．任何温度下都能自发进行D．任何温度下都不能自发进行二、非选择题(本题共有4个大题，共55分)16．(13分)为了测定某烧碱样品的纯度(含有的少量可溶性杂质不与酸反应)，某同学进行滴定实验．回答下列问题(1)烧碱样品溶液的配制：用________(填仪器名称，下同)准确称取烧碱样品wg，用新煮沸并冷却的蒸馏水在________中溶解，完全溶解并冷却后，全部转移至250mL的________中并定容(每空1分)．(2)滴定：Ⅰ．用碱式滴定管量取25.00mL烧碱溶液于锥形瓶中并加几滴甲基橙指示剂(已知甲基橙在pH大于4.4时为黄色，小于4.4时为橙色);Ⅱ．将物质的量浓度为amol⋅L－1的标准HCl溶液装入酸式滴定管，调整液面，记下开始刻度V1mL;Ⅲ．在锥形瓶下垫一张白纸，滴定到终点，记录终点刻度为V2mL①锥形瓶用蒸馏水洗涤后，水未倒尽，则滴定时用去HCl标准溶液的体积________(填“偏大“偏小”或“无影响”)，步骤Ⅰ不能用酸式滴定管取用NaOH溶液的原因是________．②步骤Ⅲ中当滴入最后1滴HCl溶液，锥形瓶中________即判断是达到滴定终点．③若酸式滴定管没用标准HCl溶液润洗，会对测定结果有何影响________(填“偏高”“偏低”或“无影响”)，其他操作均正确．(3)烧碱样品的NaOH的百分含量为________(用含w、m、V1、V2的代数式表示，已知NaOH的相对分子质量为40)．17．(14分)二甲醚(DME)被誉为“21世纪的清洁燃料”．由合成气制备二甲醚的主要原理如下：①CO(g)＋2H2(g) CH3OH(g)∆H1＝－90.7kJ⋅mol1-K1②2CH3OH(g) CH3OCH3(g)＋H2O(g)∆H2＝－23.5kJ⋅mol1-K2③CO(g)＋H2O(g) CO2(g)＋H2(g)∆H3＝－41.2kJ⋅mol1-K3回答下列问题：(1)则反应3H2(g)＋3CO(g) CH3OCH3(g)＋CO2(g)的∆H＝________kJ⋅mol1-；该反应的平衡常数K＝________(用K1、K2、K3表示)(2)下列能说明反应①达到化学平衡的是________．a．n(CO)：n(H2)：n(CH3OH)＝l：2：1b．恒温恒容时，混合气体的密度保持不变c．单位时间内每消耗2mol的H2，同时消耗1mol的CH3OHd．恒温恒容时，混合气体的相对分子质量保持不变(3)下列措施中，能提高反应①中CH3OCH3产率的有________．A．使用过量的CO B．高温度C．增大压强D．入催化剂(4)一定温度下，0.1molCO和0.1molH2O通入2L恒容密闭容器中，发生反应③，5分钟时达到化学平衡，平衡后测得H2的体积分数为0.3．则5分钟内v(H2O)＝________mol/L⋅min，反应的平衡常数为________．(5)将合成气以n(H2)/n(CO)＝2通入1L的反应器中，一定条件下发生反应：4H2(g)＋2CO(g) CH3OCH3(g)＋H2O(g)∆H，其CO的平衡转化率随温度、压强变化关系如图所示，下列说法正确的是________．A．∆H＜0B．P1＞P2＞P3C．若在P3和316℃时，起始时n(H2)/n(CO)＝3，则平衡时，α(CO)小于50%D．化学平衡向右移动时，平衡常数增大18．(14分)工业食盐中含Ca2＋、Mg2＋等杂质，某厂电解饱和食盐水制取NaOH溶液的工艺流程如图所示，回答下列问题：(1)“精制”过程所得沉渣的化学成分是________(填写化学式)．-含量也较高，沉淀剂可以是________(填字母)，且要在试剂Na2CO3前加入．(2)若粗盐中SO24a．Ba(OH)2b．Ba(NO3)2c．BaCl2(3)在电解过程中，产生H2的电极与外接电源的________极相连．阳极的电极反应式是________．Na＋离子透过阳离子交换膜在________极产生NaOH．(4)工业生产中除去Cu2＋溶液中混有F3＋，常加入________(选择下列试剂的序号填写)调节溶液pH使Fe3＋转化为Fe(OH)3沉淀，已知Ksp[Fe(OH)3]＝1.0×1038-，某离子浓度≤1×105-mol/L时沉淀完全．为了使Fe3＋沉淀完全，应该调节溶液至PH＝________．A．CuO B．NaOH C．Cu2(OH)2CO3D．H2O219．(14分)A是天然气的主要成分，A在1500℃下热解生成B，B也是电石气的主要成分，在一定条件下有机物B、C、D、E、F，其相互转化关系如图．已知C能发生银镜反应，F为有浓郁水果香味，不易溶于水的油状液体．请回答：(1)A的电子式________，C的结构简式________，D中含有的官能团名称是________．(2)D＋E→F的化学方程式是________．反应类型是________反应．(3)下列说法正确的是________．A．有机物E与金属钠反应比水与金属钠反应要剧烈B．有机物D、E、F可用饱和Na2CO3溶液鉴别C．实验室制备F时，浓硫酸主要起氧化作用D．有机物C能被新制碱性氢氧化铜悬浊液、酸性KmnO4溶液氧化E．有机物A分子中所有键与键之间的夹角相同，可以说明A的空间构型是正四面体，不是正方形．(4)F的官能团类型相同的同分异构体的结构简式是________(只需要写出1种)．。

2019-2020深圳市福景外国语学校中考数学一模试卷含答案一、选择题1．下列命题中，其中正确命题的个数为（ ）个．①方差是衡量一组数据波动大小的统计量；②影响超市进货决策的主要统计量是众数；③折线统计图反映一组数据的变化趋势；④水中捞月是必然事件． A ．1B ．2C ．3D ．42．如图的五个半圆，邻近的两半圆相切，两只小虫同时出发，以相同的速度从A 点到B 点，甲虫沿大半圆弧ACB 路线爬行，乙虫沿小半圆弧ADA 1、A 1EA 2、A 2FA 3、A 3GB 路线爬行，则下列结论正确的是 ( )A ．甲先到B 点 B ．乙先到B 点C ．甲、乙同时到B 点D ．无法确定3．某球员参加一场篮球比赛，比赛分4节进行，该球员每节得分如折线统计图所示，则该球员平均每节得分为（ ）A ．7分B ．8分C ．9分D ．10分4．如图，直线l 1∥l 2，将一直角三角尺按如图所示放置，使得直角顶点在直线l 1上，两直角边分别与直线l 1、l 2相交形成锐角∠1、∠2且∠1＝25°，则∠2的度数为（ ）A ．25°B ．75°C ．65°D ．55°5．如图，在直角坐标系中，直线122y x =-与坐标轴交于A 、B 两点，与双曲线2k y x=（0x >）交于点C ，过点C 作CD ⊥x 轴，垂足为D ，且OA=AD ，则以下结论： ①ΔADB ΔADC S S =； ②当0＜x ＜3时，12y y <； ③如图，当x=3时，EF=83；④当x ＞0时，1y 随x 的增大而增大，2y 随x 的增大而减小． 其中正确结论的个数是（ ）A ．1B ．2C ．3D ．46．如图,菱形ABCD 的两条对角线相交于O,若AC=6,BD=4,则菱形ABCD 的周长是( )A ．24B ．16C ．413D ．237．如图，AB ∥CD ，AE 平分∠CAB 交CD 于点E ，若∠C=70°，则∠AED 度数为( )A ．110°B ．125°C ．135°D ．140°8．估计10+1的值应在（ ） A ．3和4之间B ．4和5之间C ．5和6之间D ．6和7之间9．下列各曲线中表示y 是x 的函数的是（ ）A ．B ．C ．D ．10．下列二次根式中，与3是同类二次根式的是（ ） A ．18B ．13C 24D 0.311．如图，P 为平行四边形ABCD 的边AD 上的一点，E ，F 分别为PB ，PC 的中点，△PEF ，△PDC ，△PAB 的面积分别为S ，1S ，2S ．若S=3，则12S S 的值为（ ）A．24 B．12 C．6 D．312．下列几何体中，其侧面展开图为扇形的是( )A．B．C．D．二、填空题13．如图，已知AB∥CD，F为CD上一点，∠EFD=60°，∠AEC=2∠CEF，若6°＜∠BAE ＜15°，∠C的度数为整数，则∠C的度数为_____．14．如果a是不为1的有理数,我们把11a-称为a的差倒数如：2的差倒数是1112=--,-1的差倒数是111(1)2=--，已知14a=，2a是1a的差倒数，3a是2a的差倒数，4a是3a的差倒数，…，依此类推,则2019a=___________．15．不等式组125x ax x->⎧⎨->-⎩有3个整数解，则a的取值范围是_____．16．已知圆锥的底面圆半径为3cm，高为4cm，则圆锥的侧面积是________cm2.17．如图，正方形ABCD的边长为2，点E为边BC的中点，点P在对角线BD上移动，则PE+PC的最小值是．18．等腰三角形一腰上的高与另一腰的夹角的度数为20°，则顶角的度数是．19．对于有理数a、b，定义一种新运算，规定a☆b＝a2﹣|b|，则2☆（﹣3）＝_____．20．若ab＝2，则222a ba ab--的值为________．三、解答题21．2x=600答：甲公司有600人，乙公司有500人.点睛：本题考查了分式方程的应用，关键是分析题意找出等量关系，通过设未知数并根据等量关系列出方程.22．电器专营店的经营利润受地理位置、顾客消费能力等因素的影响，某品牌电脑专营店设有甲、乙两家分店，均销售A、B、C、D四种款式的电脑，每种款式电脑的利润如表1所示．现从甲、乙两店每月售出的电脑中各随机抽取所记录的50台电脑的款式，统计各种款式电脑的销售数量，如表2所示．表1：四种款式电脑的利润电脑款式A B C D利润（元/台）160200240320表2：甲、乙两店电脑销售情况电脑款式A B C D甲店销售数量（台）2015105乙店销售数量（台）88101418试运用统计与概率知识，解决下列问题：（1）从甲店每月售出的电脑中随机抽取一台，其利润不少于240元的概率为；（2）经市场调查发现，甲、乙两店每月电脑的总销量相当．现由于资金限制，需对其中一家分店作出暂停营业的决定，若从每台电脑的平均利润的角度考虑，你认为应对哪家分店作出暂停营业的决定？并说明理由．23．（问题背景）如图1，在四边形ABCD中，AB＝AD，∠BAD＝120°，∠B＝∠ADC＝90°，点E、F 分别是边BC、CD上的点，且∠EAF＝60°，试探究图中线段BE、EF、FD之间的数量关系．小王同学探究此问题的方法是：延长FD到点G，使GD＝BE，连结AG，先证明△ABE≌△ADG，再证明△AEF≌△AGF，可得出结论，他的结论应是．（探索延伸）如图2，若在四边形ABCD中，AB＝AD，∠B+∠D＝180°，点E、F分别是边BC、CD 上的点，且∠EAF＝∠BAD，上述结论是否仍然成立，并说明理由．（学以致用）如图3，在四边形ABCD中，AD∥BC（BC＞AD），∠B＝90°，AB＝BC＝6，E是边AB上一点，当∠DCE＝45°，BE＝2时，则DE的长为．24．某数学小组到人民英雄纪念碑站岗执勤，并在活动后实地测量了纪念碑的高度，方法如下：如图，首先在测量点A处用高为1.5m的测角仪AC测得人民英雄纪念碑MN项部M的仰角为37°，然后在测量点B处用同样的测角仪BD测得人民英雄纪念碑MN顶部M 的仰角为45°，最后测量出A，B两点间的距离为15m，并且N，B，A三点在一条直线上，连接CD并延长交MN于点E．请你利用他们的测量结果，计算人民英雄纪念碑MN 的高度．（参考数据：sin37°≈0.60，cos37°≈0.80，tan35°≈0.75）25．对垃圾进行分类投放，能提高垃圾处理和再利用的效率，减少污染，保护环境．为了检查垃圾分类的落实情况，某居委会成立了甲、乙两个检查组，采取随机抽查的方式分别对辖区内的A，B，C，D四个小区进行检查，并且每个小区不重复检查．（1）甲组抽到A小区的概率是多少；（2）请用列表或画树状图的方法求甲组抽到A小区，同时乙组抽到C小区的概率．【参考答案】***试卷处理标记，请不要删除一、选择题1．C解析：C【解析】【分析】利用方差的意义，众数的定义、折线图及随机事件分别判断后即可确定正确的选项．【详解】①方差是衡量一组数据波动大小的统计量，正确，是真命题；②影响超市进货决策的主要统计量是众数，正确，是真命题；③折线统计图反映一组数据的变化趋势，正确，是真命题；④水中捞月是随机事件，故错误，是假命题，真命题有3个，故选C．【点睛】本题考查了命题与定理的知识，解题的关键是了解方差的意义，众数的定义、折线图及随机事件等知识，难度不大．2．C解析：C【解析】1 2π(AA1+A1A2+A2A3+A3B)=12π×AB，因此甲虫走的四段半圆的弧长正好和乙虫走的大半圆的弧长相等，因此两个同时到B点。

2019-2020学年深圳福田福景外语学校高三英语第一次联考试题及答案第一部分阅读（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AIt’s a tempting habit for them to look at their smartphone rather than make eye contact with someone. There is so much to look at: photographs, social media feeds, messages and emails. No wonder they are glued to their screens. But is it good for them?There have been many claims about the damage looking at screens does to our eyesight. Some people feared staring at a small bright box could make us short-sighted. This is a particular concern for children and young people, who spend a higher percentage of time using electronic devices. BBC reporter, Rory Jones, says, “There is enough evidence that no matter how long teenagers are spending looking at screens, they come across information about issues such as anorexia and self-harm that could prove damaging to their mental health.”But a new study says time in front of computers and phones might not be as bad for young people as many think. Research by the Oxford Internet Institute examined data from more than 17,000 teenagers in theUK,Irelandand theUnited States. Their study concluded that most links between life satisfaction and social media use were tiny, accounting for less than 1% of a teenager’s wellbeing. Professor Przybylski, director of research, said, “99.75% of a person’s life satisfaction has nothing to do with their use of social media.” The research found that family, friends and school life all had a greater impact on wellbeing.So, does this mean young people can spend longer looking at social media? TheOxfordresearchers are confident about its findings and that any connection between screen time and mental health is very small. Dr. Max Davie, officer for health improvement at theRoyalCollege, calls the study a “small first step”, but he says there are other issues to explore, such as screen time’s interference(干预) with other important activities like sleep, exercise and time with family or friends. Perhaps for now, the “right” amount of screen time is only a matter of personal judgement.1. What is people’s common belief concerning screen time?A. Looking at screens does harm to young people.B. Screen time provides a chance for teenagers to learn.C. Most teenagers get near-sighted due to looking at screens.D. A small amount of time online does little harm to teenagers.2. What can we learn from the new study by the Oxford Internet Institute?A. Screen time has a great influence on people’s daily activities.B. The right amount of the screen time is related to its content.C. There is a close link between social media and self-satisfaction.D. Social bonds play a more significant role in people’s wellbeing than social media.3. Where is the passage most probably taken from?A. A science fiction.B. A science magazine.C. A research paper.D. An economics book.BAmerican football was the fastest-growing sport for US young players last year, according to a survey sponsored by the sport's governing body.But it was the game's no tackle variety that showed the biggest increase－a finding that may reflect concerns about injury. In American football, a tackle (抢断球) refers to an attempt to stop an opponent by forcing them to the ground.The number of participants in football grew in 2015 while most other sport, except baseball, posted a decline, USA Football said on Monday, citing(引用) the findings of a survey of 30,000 children and teenagers.Participation in flag football (a no-tackle type of football) increased by 8.7 percent among children aged 6 to 14, while tackle football rose by 1.9 percent. For that age group, the only other sport that grew was baseball, with a 3. 3 percent increase.In the 15-to-18 age group, flag football rose by 10. 5 percent, while tackle grew by 2.5 percent.Basketball was the third, with a 1. 1 percent increase. Participation in all other sports declined.Tom Farrey, executive director of the Aspen Institute's Sports & Society Program, said he was surprised that flag football participation rose so much.“The trend suggests that parents aremarching to the beat of a different drummer, in pursuing flagas an alternative for their kids," he said.The findings come at a time of increasing concern about the risk associated with youth sports, particularly hockey (曲棍球) and football, where medical researchers have warned about the risk of concussions (damagesto the brain caused by violent blows to the head) and death linked to brain injury.USA Football, anIndianapolis,Indianabased nonprofit funded in part by the National Football League, believedthat the increases resulted from better safety and health education."Football participation increases, even modest increases, may signal that programs such as our Heads Up Football program and practice guidelines are making a positive difference," said Scot Hallenbeck, USA Football chief executive, in a statement.Robert Cantu, aBostonUniversityneurosurgery professor and investigator at the school's chronic Traumatic Encephalopathy (CTE) Center said the increase in fag football participation signaled that more parents were directing children to a safe alternative4. What can we learn about the two age groups?A. Flag football grew the fastest in the 6-to-18 group.B. Tackle football grew he fastest in the 6-to-14 group.C. Participation in baseball declined the most in both groupsD. Participation in tackle football increased the most in both groups.5. The underlined part probably means ________.A working at a different paceB. behaving in a different wayC. ignoring the major differencesD. trying to accept different opinions6. The popularity of flag football is inked with the fact thatA. its rules have been adapted for young playersB. it receives more funds than other varietiesC. tackle football is an old-fashioned gameD. experts worry about children's safety7. What is the cause of football growth according to USA Football?A. Their safety programs are successful.B. More children show interest in the game.C. Football is less likely to cause concussions.D. There are different types of football to choose from.CEarthquake can disrupt whales’ hunting for food for up to a year,according to a new study.On November 14, 2016, the Kaikoura earthquake struck New Zealand’s South Island, causing a destructivetsunami. Under the surface, the earthquake caused strong currents that swept away and mostly killed off diverse ecosystems of creatures living along the Kaikoura underwater canyon.As a result, whales had to dive deeper and longer to find food—“a major shift” in their behavior, says co-author Liz Slooten, a marine biologist at the University of Otago in New Zealand.The impact earthquakes have on land animals has been well documented, but scientists know ly little about what happens underwater. Such research is important for government agencies, which may need to take recent earthquakes into consideration when considering fishing quotas（限额）, notes Rochelle Constantine, a marine mammal ecologist at the University of Auckland.The canyon’s upper reaches are rich in creatures, supplying food for the fish that make up the whales’ diet. So when these smaller life forms were washed away, it had “severe consequences for the community around there”, says study co-author Will Rayment. “That effect flowed all the way through the food chain.”As part of their ongoing study, the scientists were tracking 42 individual whales. After the earthquake, in all, the team managed to record data on 40 whales, showing that the abundance of whales in the general area didn’t change after the earthquake. However, the whales changed how they used their habitat.A year after the earthquake, the researchers observed the whales returning to their previous surface-breathing intervals. This could have been because the communities of animals that make up the whales’ food began to recover. “It gives you an idea of how resilient（有复原力的）these deep-sea communities are,” says Rayment.But he and his colleagues will continue long-term monitoring to see if there are effects they missed. Whale activity in the area had already been declining, though it’s unknown whether it is due to natural changes in food abundance, whale-watching tourism, fishing, or warming ocean temperatures. “There is something going on in Kaikoura,” says Rayment.8. What happened after the Kaikoura earthquake in the Kaikoura canyon?A. Several destructive tsunamis struck the area.B. Whales had to swim to other oceans to find food.C. Nearly all marine creatures in Kaikoura were killed off.D. Strong currents washed away many smaller creatures.9. Which is one of the findings of the study?A. Earthquakes can make it easier for whales to find food.B. The whales changed their habitat after the earthquake.C. It usually takes whales a year to adapt to their new diet.D. The number of whales in the area dropped sharply after the quake.10. What does Rochelle Constantine think of the study?A. It can help government agencies to make some decisions about fishing.B. It can help government agencies to solve problems in the fishing industry.C. It is a breakthrough in research on what happens underwater after an earthquake.D. It offers a detailed description of the impact earthquake have on marine mammals.11. What can we infer from the last paragraph?A. Something is affecting the whale activity in Kaikoura.B. Fishing quotas have been increasing in recent years.C. The team missed some effects in the research process.D. The scientists will continue studying earthquakes.DA Hug from a Teenage BoyFifteen years spent in the field of education have provided Nancy Marra with many treasured moments. One of the most endearing happened when she was teaching second grade.That year, she decided to plan something special for the children: a Mother’s Day tea. After all the preparations were made for it, each child took home an invitation.Nancywas surprised and relieved to see that every mother was planning to attend. She even invited her own mother.Finally, the day arrived. That afternoon, each child lined up at the classroom door expecting the arrival of his or her mom. As it got closer to starting time,Nancylooked around and her eyes quickly found Jimmy. His mother hadn’t shown up and he was looking upset.Nancytook her mother by the hand and walked over to Jimmy. “Jimmy,”Nancysaid, “I have a bit of a problem here and I was wondering if you could help out. Since I’m going to be really busy today, I was wondering if you could keep my mother company.”Nancy’s mom and Jimmy sat at a table with two other mother-child pairs. Jimmy servedNancy’s mom her treats, presented her with the giftNancyhad made, and pulled out and pushed in her chair, just as they had practiced the day before. WheneverNancylooked over, her mom and Jimmy were in deep conversation Ten years later,Nancywas at a high school to take a senior class on a field trip, and there was Jimmy. On the way back,Nancyhad the students complete an evaluation form of their trip. She collected and checked the formsone by one.When she came to Jimmy’s evaluation page, he had written, “Remember our Mother’s Day tea we had in second grade, Mrs. Marra? I do! Thanks for all you did for me, and thank your mother, too.”As they began unloading at the school, Jimmy made sure he was the last one to go.Nancytold him she really enjoyed what he had written. He looked rather embarrassed, mumbled (咕哝) his own thanks, and then turned to walk away. As the bus driverbegan pulling the bus away, Jimmy ran back and knocked on the bus door. He jumped back on board and gaveNancya big hug. “Thanks again, Mrs. Marra. No one even knew my mom didn’t make it that day!”She ended her workday with a hug from a teenage boy who had probably stopped hugging teachers years ago.12. Why was Jimmy paired withNancy’s mother?A. Nancy was too busy to spend time with her.B. Jimmy’s mother didn’t come to the event.C. Nancy wanted Jimmy to get to know her.D. Jimmy could get along well with her.13. Where did Jimmy meetNancyten years later?A. Near Jimmy’s high school.B. At a Mother’s Day tea.C. In Nancy’s classroom.D. On a field trip.14. How did Jimmy feel about whatNancyhad done for him?A. Upset.B. Embarrassed.C. Grateful.D. Satisfied.15. Which of the following best presents the theme of the passage?A. No act of kindness is ever wasted.B. A friend in need is a friend indeed.C. A mother’s hug lasts long after she lets go.D. The best teacher must be the best performer.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。

深圳高中联考联盟2019-2020学年第一学期期末考试试题高二数学本试卷4页，22小题，满分150分.考试用时120分钟. 注意事项：1.答卷前，考生务必将自己的姓名、考生号、考场号和座位号填写在答题卡上.用2B 铅笔将试卷类型（B ）填涂在答题卡相应位置上.将条形码横贴在答题卡右上角“条形码粘贴处”.2.作答选择题时，选出每小题答案后，用2B 铅笔在答题卡上对应题目选项的答案信息点涂黑；如需要改动，用橡皮擦干净后，再选涂其他答案.答案不能答在试卷上.3.非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再写上新答案；不准使用铅笔和涂改液.不按以上要求作答无效.4.考生必须保证答题卡的整洁.考试结束后，将试卷和答题卡一并交回.第I 卷一、选择题：本题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1.若直线过点(1,3)，(4,33)+，则此直线的倾斜角是（ ）A. 6πB.4π C.3π D.23π 【答案】A 【解析】 【分析】利用两点斜率公式求出斜率，进而可得倾斜角. 【详解】解：设直线的倾斜角为α， 则3333tan α+-==， 6πα∴=，故选：A.【点睛】本题考查直线的倾斜角和斜率的关系，考查两点斜率公式，是基础题.2.椭圆221y x m+=的焦点在y 轴上，长轴长是短轴长的两倍，则m =（ ）A. 4B.12C. 2D.14【答案】A 【解析】 【分析】确定,a b ，利用长轴长是短轴长的两倍列式求出m . 【详解】解：由已知22,1a m b ==， 因为2a b =，则224a b =，即4m =， 故选：A.【点睛】本题考查椭圆简单几何性质，要先定位，再定量，是基础题. 3.设双曲线的焦点在x 轴上，渐近线方程为12y x =±，则该双曲线的离心率为（ ） A. 5 B. 5C. 5D. 54【答案】C 【解析】分析：根据题意可求得a 和b 的关系式，进而利用c=22a b +求得c 和b 的关系，最后求得a 和c 的关系即双曲线的离心率． 解答：解：依题意可知b a =12，求得a=2b ∴c=22a b += b∴e==故选C ．4.若向量(0,1,1),(1,1,0)a b =-=，且()a b a λ+⊥，则实数λ的值是（ ） A. 1- B. 0C. 2-D. 1【答案】C 【解析】先求出a λb +的坐标，利用()a b a λ+⊥可得()0a b a λ+⋅=，代入坐标计算即可. 【详解】解：由已知(0,1,1)(1,1,0)(,1,1)a b λλλλ+=-+=+-， 由()a b a λ+⊥得：()(,1,1)(0,1,1)110a b a λλλλ+⋅=+-⋅-=++=，2λ∴=-，故选：C.【点睛】本题考查数量积的坐标运算，其中()()0a b a a b a λλ+⊥⇔+⋅=是解题的关键，是基础题.5.与圆2240x y x +-=外切，又与y 轴相切的圆的圆心的轨迹方程是（ ）A. 28y x =B. 28y x =（0x >）和0y =C. 28y x =（0x >） D. 28y x =（0x >）和0y =（0x <）【答案】D 【解析】圆2240x y x +-=化为()2224x y -+=，圆心()2,0C ，半径2r，设动圆的圆心为(),M x y ，半径为r ，则根据题意0r x =≠，且2MC r =+2x =+，当0x >时，化简有()()22222x y x -+=+，即28y x =，当0x <时，化简有()()22222x y x -+=-+，即0y =，故选择D.点睛：对抛物线定义的考查有两个层次，一是当已知曲线是抛物线时，抛物线上的点M 满足定义，它到准线的距离为d ，则MF d =，有关距离、最值、弦长等是考查的重点；二是利用动点满足的几何条件符合抛物线的定义，从而得到动点的轨迹是抛物线.另外在对方程化简的过程中注意分类讨论思想方法的应用，考查学生划归转化能力.6.已知圆C 的半径为2，圆心在x 轴的正半轴上，直线3440x y ++=与圆C 相切，则圆C 的方程为( )A. 22230x y x +--= B. 2240x y x ++= C. 22230x y x ++-=D. 2240x y x +-=【解析】 【分析】设圆心坐标为(,0)(0)C a a >，根据圆与直线3440x y ++=相切可求出2a =，进而得到圆心和半径，于是可得圆的方程．【详解】由题意设圆心坐标为(,0)(0)C a a >， ∵圆C 与直线3440x y ++=相切，2=，解得a =2．∴圆心为(2,0)C，半径为2r ==，∴圆C 的方程为（x ﹣2）2+y 2=4，即2240x y x +-=．故选D ．【点睛】求圆的方程时要把握两点：一是求出圆心的坐标；二是求出圆的半径，然后再根据要求写出圆的方程即可，求圆心坐标时注意圆的几何性质的应用，这样可以简化运算，提高解题的速度．7.设n S 为等差数列{}n a 的前n 项和，834S a =，72a =-，则9a =（ ） A. -6 B. -4C. -2D. 2【答案】A 【解析】【详解】由已知得()11187842,{26 2.a d a d a d ⨯+=++=- 解得110,{2.a d ==-91810826a a d ∴=+=-⨯=-．故选A ．考点：等差数列的通项公式和前n 项和公式．8.设,αβ是两个不同的平面，l 是一条直线，以下命题正确的是（ ） A. 若,l ααβ⊥⊥，则l β⊂ B. 若//,//l ααβ，则l β⊂ C. 若,//l ααβ⊥，则l β⊥ D. 若//,l ααβ⊥，则l β⊥【答案】C 【解析】对于A 、B 、D 均可能出现//l β，而对于C 是正确的．9.设12,F F 是双曲线22124y x -=的两个焦点,P 是双曲线上的一点,且1234PF PF =,则12PF F △的面积等于（ ）A. 42B. 83C. 24D. 48【答案】C 【解析】【详解】双曲线的实轴长为2,焦距为1210F F =.根据题意和双曲线的定义知1222241233PF PF PF PF PF =-=-=,所以26PF =,18PF =, 所以2221212PF PF F F +=,所以12PF PF ⊥.所以121211682422PF F S PF PF =⋅=⨯⨯=. 故选：C【点睛】本题主要考查了焦点三角形以及椭圆的定义运用,属于基础题型.10.如图是抛物线拱形桥，当水面在l 时，拱顶高于水面2m ，水面宽为4m ，当水面宽为25m 时，水位下降了（ ）m5 B. 2 C. 1D.12【答案】D【分析】以抛物线的顶点为坐标原点，抛物线的对称轴为y 轴建立平面直角坐标系，并设拱桥所在抛物线为()20x ay a =<，根据题意得出点()2,2A -在抛物线上，可求出a 的值，并设拱顶高于水面m h ，可知点()5,h -在抛物线上，代入抛物线方程可解出h 的值，由此可得出水面下降的高度.【详解】建系如图，设拱桥所在抛物线为()20x ay a =<，点()2,2A -在抛物线上，得2a =-，抛物线方程为22x y =-，当水面宽为25时，设拱顶高于水面m h ，由点()5,h -在抛物线上，得52h =， 故水面下降了12m . 故选：D.【点睛】本题考查抛物线方程的应用，建立平面直角坐标，将问题转化为抛物线方程来求解是解题的关键，考查计算能力，属于中等题.11.数列{}n a 中，已知对任意正整数n ，有12321n n a a a a ++++=-，则22212n a a a +++=（ ）A. ()221n - B.()1413n- C.()1213n- D. 41n -【答案】B 【解析】 【分析】首先根据12321n n a a a a ++++=-，得出1123121n n a a a a --++++=-，两式相减即可求出数列{}n a 的通项公式，然后求出数列{}2n a 的通项公式，最后根据等比数列求和公式进【详解】解：∵12321n n a a a a ++++=-①∴1123121n n a a a a --++++=-②，（2n ≥）①-②得12n na ，（2n ≥）当1n =时，11211a =-=满足12n na ，所以12n n a （n *∈N ）∴2222n n a -=，∴数列{}2n a 是以1为首项，4为公比的等比数列，∴2222123n a a a a ++++()14141143n n-==--， 故选B【点睛】本题主要考查了赋值法求数列的通项公式及等比数列的通项公式，还考查了等比数列前n 项和公式，考查计算能力，属于中档题．12.已知抛物线2:2(0)E y px p =>，直线l 过E 的焦点，交E 于,A B 两点，且A 在x 轴上方，M 是E 的准线上一点，AM 平行于x 轴，O 为坐标原点，若||4||OM OB =，则l 的斜率为（ ） A. 43-B. 34-C.34 D.43【答案】D 【解析】 【分析】设直线l 的方程为2p x my =+，设点()()1122,,,A x y B x y ，则点1,2p M y ⎛⎫- ⎪⎝⎭，将直线l 的方程与抛物线E 的方程联立，列出韦达定理，计算直线OB 和OM 的斜率得知，,,O B M 三点共线，再由已知条件得出124y y =-，代入韦达定理可得出m 的值，从而求出直线l 的斜率.【详解】解：设点()()1122,,,A x y B x y ，则点1,2p M y ⎛⎫-⎪⎝⎭，如下图所示，抛物线E 的焦点为,02p F ⎛⎫⎪⎝⎭，设直线AB 的方程为2p x my =+，将直线AB 的方程与抛物线E 的方程联立222p x my y px⎧=+⎪⎨⎪=⎩，得2220y mpy p --=， 由韦达定理得212122,y y mp y y p +==-，直线OM 的斜率为1122OM y yk p p ==--， 直线OB 的斜率为2212222212222OB OMy y y p p k k y p x y p y p=====-=-，所以，,,O B M 三点共线，||4||OM OB =，则4OM OB =-，所以，124y y =-， 则12232y y y mp +=-=，得223mpy =-， 222221222164439mp m p y y y p ⎛⎫=-=-⨯=-=- ⎪⎝⎭， 结合图形可知，直线AB 的斜率为正数，所以，34m =， 因此，直线l 的斜率为143m =. 故选：D.【点睛】本题考查直线与抛物线的综合问题，考查韦达定理设而不求法在抛物线综合问题中的应用，考查计算能力，属于中等题.第II 卷二、填空题：本大题共4小题，每小题5分，共20分.13.在正项等比数列{}n a 中，246825a a a a =，则19a a =__________. 【答案】5 【解析】 【分析】利用()2246819a a a a a a =可得结果.【详解】解：由等比数列的性质()()()2246828461925a a a a a a a a a a ===， 所以195a a =（负值舍去）， 故答案为：5.【点睛】本题考查等比数列的性质，是基础题.14.在长方体1111ABCD A B C D -中，11,AB BC AA ===1AD 与1DB 所成角的余弦值为__________.【解析】 【分析】以D 为原点，DA 为x 轴，DC 为y 轴，1DD 为z 轴，建立空间直角坐标系，利用向量法能求出异面直线1AD 与1DB 所成角的余弦值.【详解】解答：解：以D 为原点，DA 为x 轴，DC 为y 轴，1DD 为z 轴，建立空间直角坐标系，∵在长方体1111ABCD A B C D -中，11,3AB BC AA === 1(1,0,0),3),(0,0,0)A D D ∴，1(1,13)B ， 11(1,0,3),(1,13)AD DB ∴=-=设异面直线1AD 与1DB 所成角为θ， 则1111||5cos ||||25AD DB AD DB θ⋅===⋅∴异面直线1AD 与1DB 5. 5. 【点睛】本题考查异面直线所成角的余弦值的求法，考查运算求解能力，是基础题. 15.已知数列{}n a 满足111,31nn n a a a a +==+，则n a =__________.【答案】()*132n N n ∈- 【解析】 【分析】 由131n n n a a a +=+得1n a ⎧⎫⎨⎬⎩⎭为等差数列，利用等差数列的通项公式求出1na ，进而可得n a .【详解】解：由已知得131113n n n n a a a a ++==+， 1113n na a +∴-=，1113(1)32n n n a a ∴=+-=-，()*132n a n N n ∴=∈-， 故答案为：()*132n N n ∈-. 【点睛】本题考查递推式求通项公式，考查观察能力，是基础题.16.直三棱柱111ABC A B C -的各顶点都在同一球面上，若12AB AC AA ===,120BAC ∠=︒，则此球的表面积等于 ．【答案】20π【解析】【详解】24π20S R π∴==三、解答题：共70分.解答应写出文字说明、证明过程或演算步骤.17.已知数列{}n a （*n N ∈）是公差不为0的等差数列，11a =，且248,,a a a 成等比数列.（1）求数列{}n a 的通项公式；（2）设数列11n n a a +⎧⎫⎨⎬⋅⎩⎭的前n 项和为n T ，求n T .【答案】（1）n a n =（2）1n n + 【解析】【分析】 （1）根据条件()2428a a a =⋅，代入等差数列的基本量列方程求解即可；（2）用裂项相消法求和.【详解】解：（1）设{}n a 的公差为d .因为248,,a a a 成等比数列，所以()2428a a a =⋅，即()()()211137a d a d a d +=+⋅+，化简得21d a d =， 又11a =，且0d ≠，解得1d =，所以有1(1)n a a n d n =+-=；（2）由（1）得：11111(1)1n n a a n n n n +==-⋅⋅++， 所以1111112231n T n n =-+-++-+1111n n n =-=++. 【点睛】本题考查等差数列基本量计算以及裂项相消法求和，考查计算能力，是基础题.18.已知圆C 的圆心在x 轴上，且经过点1,0,()(,2)1A B -.（1）求圆C 的标准方程；（2）过点(0,2)P 直线l 与圆C 相交于,M N 两点，且||MN =l 的方程.【答案】（1）22(1)4x y -+=（2）0x =或3480x y +-=【解析】【分析】（1）根据题意，设AB 的中点为D ，求出D 的坐标，求出直线CD 的斜率，由直线的点斜式方程分析可得答案，设圆C 的标准方程为222()x a y r -+=，由圆心的位置分析可得a 的值，进而计算可得r 的值，据此分析可得答案；（2）设F 为MN 的中点，结合直线与圆的位置关系，分直线l 的斜率是否存在两种情况讨论，综合即可得答案.【详解】解：（1）设AB 的中点为D ，则(0,1)D ，由圆的性质得CD AB ⊥，所以1CD AB K K ⨯=-，得1CD K =-，所以线段AB 的垂直平分线方程是1y x =-+，设圆C 的标准方程为222()x a y r -+=，其中(,0)C a ，半径为()0r r >，由圆的性质，圆心(,0)C a 在直线CD 上，化简得1a =，所以圆心()1,0C ，||2r CA ==，所以圆C 的标准方程为22(1)4x y -+=；（2）由（1）设F 为MN中点，则CF l ⊥，得||||FM FN ==圆心C 到直线l 的距离||1d CF ===， 当直线l 的斜率不存在时，l 的方程0x =，此时||1CF =，符合题意；当直线l 的斜率存在时，设l 的方程2y kx =+，即20kx y -+=，由题意得d =，解得34k =-； 故直线l 的方程为324y x =-+， 即3480x y +-=； 综上直线l 的方程为0x =或3480x y +-=.【点睛】本题考查直线与圆的位置关系，涉及直线与圆方程的综合应用，属于基础题.19.在三棱锥S ABC -中，ABC ∆是正三角形，面SAC ⊥面ABC ，4AB =，SA SC ==E 、F 分别是AB 、SB 的中点．（1）证明：AC SB ⊥；（2）求二面角B CE F --的余弦值．【答案】（1）见解析；（25. 【解析】【分析】（1）取AC 的中点O ，连接OS 、OB ，由等腰三角形三线合一的性质得出AC SO ⊥且AC BO ⊥，利用直线与平面垂直的判定定理可证明出AC ⊥面SBO ，从而得出AC SB ⊥；（2）利用面面垂直的性质定理证明出SO ⊥平面ABC ，以O 为坐标原点，分别以OA 、OB 、OS 所在直线为x 轴、y 轴、z 轴建立空间直角坐标系，然后利用空间向量法计算出二面角B CE F --的余弦值．【详解】（1）取AC 的中点O ，连接OS 、OB ，SA SC =，AB BC =，AC SO ∴⊥且AC BO ⊥．又SO CO O =，AC ∴⊥面SBO ，又SB ⊂面SBO ，AC SB ∴⊥；（2）由面SAC ⊥面ABC ，平面SAC平面ABC AC =，SO AC ⊥，SO ⊂平面SAC ，可得SO ⊥面ABC .故以O 为坐标原点，分别以OA 、OB 、OS 所在直线为x 轴、y 轴、z 轴，建立如图所示空间直角坐标系：则()2,0,0A ，()0,23,0B ，()2,0,0C -，()0,0,2S ()3,0E ∴，()3,1F . ()3,3,0CE ∴=，()2,3,1CF =，设(),,n x y z =为平面EFC 的一个法向量 由33000230x n CE n CF x y z ⎧⎧=⋅=⎪⇒⎨⎨⋅=++=⎪⎩⎩，取1x =，则3y =1z =． ()1,3,1n ∴=-. 又()0,0,2OS =为面ABC 的一个法向量，由5cos ,552n OS ==⨯ 如图知二面角B CE F --5【点睛】本题考查利用线面垂直的性质证明线线垂直，同时也考查了利用空间向量法计算二面角的余弦值，考查推理论证能力与计算能力，属于中等题.20.某企业2016年的纯利润为500万元，因设备老化等原因，企业的生产能力将逐年下降，若不进行技术改造，预测从今年（2017年）起每年比上一年纯利润减少20万元，今年初该企业一次性投入资金600万元进行技术改造，预计在未扣除技术改造资金的情况下，第n 年（今年为第一年）的利润为1500(1)2n+万元（n 为正整数）． （1）设从今年起的前n 年，若该企业不进行技术改造的累计纯利润为n A 万元，进行技术改造后的累计纯利润为n B 万元（须扣除技术改造资金），求n A ，n B 的表达式；（2）以上述预测，从今年起该企业至少经过多少年后，进行技术改造后的累计纯利润超过不进行技术改造的累计纯利润？【答案】（1）249010n A n n =-， 5005001002n nB n =--；（2）4年 【解析】【分析】（1）根据等差数列前n 项和公式可得n A 的表达式，利用分组求和与等比数列前n 项和相结合可得n B 的表达式；（2）作差，利用函数的单调性，即可得到结论．详解】（1）依题设，()()()250020500405002049010n A n n n =-+-+⋯+-=-； 21150050011600500100212221n n n B n ⎡⎤⎛⎫⎛⎫=+++⋯++-=-- ⎪ ⎪⎢⎥⎛⎫+ ⎝⎭⎝⎣⎪⎝⎭⎭⎦． （2）()2500500100490102n n n B A n n n ⎛⎫-=---- ⎪⎝⎭()25005010101001011022n n n n n n ⎡⎤=+--=+--⎢⎥⎣⎦， 因为函数()501102x y x x =+--在1,2⎛⎫+∞ ⎪⎝⎭上为增函数， 当13n ≤≤时，()50501101210028n n n +--≤--<； 当4n ≥时，()505011020100216n n n +--≥-->， ∴仅当4n ≥时，n n B A >。