2020-2021深圳市南山中英文学校高三数学下期末试卷(附答案)

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2020-2021学年深圳南山中英文学校中学部高三英语下学期期末考试试卷及参考答案

2020-2021学年深圳南山中英文学校中学部高三英语下学期期末考试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ANew events and changes of junior golf competition calendarNew eventsNotah BegayⅢJunior Golf National ChampionshipWhat does a junior golfer aim to pursue? One thing is to be noticed, ideally by a college coach. A remarkable opportunity will be offered by the Notah BegayⅢJunior Golf National Championship to its participants: an event broadcast by Golf Channel. Players aged between eight and 18 can compete in the new event; information about where and when it will be held will be released later.Barbasol Junior ChampionshipBeginning the career in the PGA Tour is something that a junior golfer tends to dream of. The Barbasol Junior Championship, which is scheduled to take place between June 29 and July 2 at Keene Trace Golf Club inNicholasville,Kentucky, will provide such an opportunity. Boys under 19 years old will qualify for this new 54-hole event, and the winner will be awarded a spot at the PGA Tour's Barbasol Championship in July.Changed eventsThunderbird International JuniorThe dates of the AJGA's Thunderbird International Junior have to be changed since the NCAA Championships move to Grayhawk Golf Club inScottsdale,Arizona, for the next three years. Generally, the Thunderbird is played at the end of May. However, this year it is scheduled on different dates for the first time, from April 9 to 12, which means, of course, that the finish date is on Masters Sunday.Gator InvitationalJunior golf intends to prepare for the following college golf. If this is the case, then it is crucial to simulate the higher-level experience as much as possible. Because of that, the Gator Invitational, as a junior boys' event, has made a significant decision on becoming a 54-hole event by adding a round this year. The new version will be played from March 13 to 15 at The Country Club of Jackson inJackson,Mississippi.1. Which event can be watched on TV?A. Notah BegayⅢJunior Golf National Championship.B. Barbasol Junior Championship.C. Thunderbird International Junior.D. Gator Invitational.2. When will the Thunderbird International Junior be played?A. At the end of May.B. From April 9 to 12.C. Between June 29and July 2.D. From March 13 to 15.3. What has been changed about the Gator Invitational?A. The award given to the winnerB. The place where it is played.C. The required age of the players.D. The number of rounds it has.BOne-year-old Tallulah turned purple and stopped moving after the sweet became stuck in her throat. Her mum Leigh-Anne said the drama began during a visit to her grandma’s house when her grandparents gave her older kids some sweets.“Then at about 4:45 pm, Tallulah started to choke—we all went into a panic.”“It seemed like it went on for ages. Not one of us knew what to do.”“I rang an ambulance while my grandma and granddad tried to get the sweet to come up.”“Tallulah was panicking at first but then she started to go purple—she almost had no oxygen left in her.”With her daughter limp (无力的) and time running out, Leigh—Anne knew she couldn’t afford to wait for the ambulance to arrive.“The only thing I could think was to go out into the street.” She said.“I rushed out and screamed for someone to help while my grandma rushed out crying with Tallulah.”At exactly the moment, Caitlin, who is studying public services atRedcarCollege, was passing byQueen Street. She said, “I was waiting to go to work when I heard someone screaming for help, so I ran straight over.”The 17-year-old girl added, “Something just clicked and I went into auto mode. The little girl was completely limp, so I checked her airways and tilted (使倾斜) her over and started hitting her back. I turned her round and tapped on her chest, then after what felt like forever she coughed up the sweet and spat it out.As soon as she started crying I felt a huge relief. I was just so pleased I was able to help.”Caitlin was taught her lifesaving skills when she joined the Army Cadets four years ago.4. When did Tallulah get choked?A. While eating sweets.B. While enjoying a drama.C. While having a meal.D. While taking some medicine.5. Why did the family go out into the street?A. To buy some needed tools.B. To search for timely help.C. To get a breath of fresh air.D. To wait for the ambulance to arrive.6. Which of the following can best describe Caitlin?A. Brave and selfless.B. Kind and energetic.C. Determined and generous.D. Quick-thinking and helpful.7. What may be the best title for the text?A. First aid skill sounds important.B. Screaming for help makes sense.C. Eating sweets endangers baby girl.D. Heroic teenager saves baby girl’s life.CIsraeli Paintings—Israeli artist Menashe Kadishman will hold a personal show named "Flock of Sheep" from November 26 to December 20 at the China National Art Museum On show are 550 colourful oil paintings of sheep heads.His works have been on show inthe Metropolitan Museum in New York and Tate Gallery in London over the past 30 years.Time: 9: 00 a.m.—4: 00 p.m., November 26—December 20.Place: China National Art Museum, 1 Wusi Dajie, Dongcheng District, Beijing.Tel: 6401-2252Russian Ballet—The Kremlin Ballet from Russia will perform two immortal classical ballets—"Swan Lake" and "The Nutcracker"—at the Beijing Beizhan Theatre. Set up in 1990, the theatre has a number of first-class ballet dancers. Most of their performances are classical.Time: 7: 15 p.m., December 5 and 6 ("Swan Lake"); 7: 15 p.m., December 7 ("The Nutcracker")Place: Beizhan Theatre, Xiwai Dajie, Xicheng District, Beijing.Tel: 6605-3388Folk Concert—The Central Conservatory of Music will hold a folk concert in memory of the late musician Situ Huacheng.On the programme are many popular folks such as "Moon Night on the Bamboo Tower", "Celebrating Harvest", "Deep and Lasting Friendship", "Golden Snake Dances Wildly" and "Children's Holiday".Time: 7: 30 p.m., November 25.Place: Beijing Concert Hall, 1 Beixinhuajie, Xicheng District, Beijing.Tel: 6605-58128.If a child is very fond of dancing, his parents should take him to ________.A.China National Art MuseumB.Beizhan TheatreC.Beijing Concert HallD.1 Wusi Dajie9.Menashe Kadishman is well known for painting ________.A.deerB.birdsC.sheepD.flowers10.Which of the following is TRUE?A.The folk concert will last three days.B.The ballet "The Nutcracker" will be put on once.C.The Israeli paintings will be on show for a month.D.China National Art Museum lies in Xicheng District.11.If you dial the telephone number 6605-3388 on Dec. 8, you can ________.A.go to the folk concertB.visit the Art MuseumC.watch the balletD.none of the aboveDAmerican 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 analternative 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, believed that 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 alternative12. 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.13. The underlined part probably means ________.A working at a different paceB. behaving in a different wayC. ignoring the major differencesD. trying to accept different opinions14. 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 safety15. 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.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。

2021届深圳南山中英文学校中学部高三英语下学期期末考试试题及答案解析

2021届深圳南山中英文学校中学部高三英语下学期期末考试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AWe are proud to present a showcase for kid inventions from children chosen from the Kid's Forum at Blue Print Earth. We hope you enjoy the ideas expressed here and join us in supporting the next generation.Eater of Natural DisastersMy invention cansave your home by sucking up all-natural disasters. The government will not own this machine, but by you so there will be no taxes on it. Order Now! The Eater of Natural Disasters will run on renewable batteries. It will cost 50 dollars to make and I will sell it for just $ 75.Created by Matthew Szekeresh —Mt.WashingtonElementary, 5th Grade.Pick-up-Pollution BombMy invention is called the Pick-up-Pollution Bomb. It will just pick up pollution and it won't hurt anything else like people, animals, property, playgrounds, and parks. The reason why I made it is that I think there is too much pollution on the Earth. It sells for $100 apiece, and if you buy this now, I will send you another one for free.Created gratefully by Lauren Newberry — Mt. Washington Elementary, 5th GradeFlying HouseMy invention is a home that will blast off in space. For example, if there were an earthquake people would immediately blast off, or if there were a flood it would take off. Only for $ 400.99.Created by David Turner —Mt.WashingtonElementary, 5th GradeBug RobotMy invention is a robot that catches little bugs, eats little bugs, sucks up pollution, sucks up natural disasters, and turns them into food solving the problems of too many little bugs, natural disasters, pollution and starvation. My product is worth $500. My invention works on 2 triple — A batteries. And if you order one today I'll throw in 4 rechargeable triple-A batteries.Created by Cassie Courtey —Mt.WashingtonElementary, 5th Grade1. Why is the Flying House created?A. To explore the space.B. To clean the air.C. To prepare people for earthquakes.D. To help people escape from natural disasters.2. Which invention can turn pollution into food?A. The Bug Robot.B. The Pick-up-Pollution Bomb.C. The Flying House.D. The Eater of Natural Disasters.3. What can we infer about the four inventions?A. They are very easy to build.B. They are ideas from kids in the same school.C. They are expensive but of practical use.D. They are being used by people.BMost children who have suffered from ADHD still have it as teens. During teen years, especially as the hormonal changes of teenagers are going on and the demands of school and extra-curricular activities are increasing, ADHD may get worse.Because of problems with getting unfocused and poor concentration, many teens with ADHD have problems in school. Grades may fall, especially if the teen is not getting ADHD treatment. It’s not uncommon for teens with ADHD to forget their homework, lose textbooks, and become bored with their daily class work. Teens may become inattentive or extremely attentive, not waiting for their turn before blurting out answers. They may cut in on their teacher and classmates. Teens with ADHD may also befidgetyand find it hard to sit still in class.Often, teens with ADHD are so busy focusing on other things that they forget about the task at hand. This can be seen especially with homework and athletic skills and in relationships with their schoolmates. This lack of attention to what they’re doing often leads to bad grades on tests and being passed over for sports teams, after-school activities, and learning teams. Kids with ADHD can be targets for bullying, too. But, not all children with ADHD have trouble getting along with others. If your child does, you can take measures to help improve their social skills and relationships.ADHD affects all parts of a teenager’s life. As a parent you should discover your teen’s troubles as early as possible. The earlier your child’s troubles are discovered, the more successful the following steps can be.4. What does the author plan to do in paragraph 1?A. To list the types of ADHD.B. To introduce the main topic.C. To show the author’s opinion.D. To explain the causes of ADHD.5. What does the underlined word “fidgety” probably mean in paragraph 2?A. Clever.B. Noisy.C. Restless.D. Lazy.6. What is the text mainly about?A. Ways to deal with ADHD.B. Effects of ADHD on teens.C. Teens’ school performances.D. Demands of school work.7. What may the following paragraph talk about?A. How parents can help a teen with ADHD.B. The importance of healthy peer relationships.C. How many children are suffering from ADHD. D. Different opinions about treating ADHD in teens.CHi, Momis a hit inChina. Since its release in early February the movie has earned more than 5 billion yuan at the box office. It is currently the second-highest-grossing film ever released in the country, and may yet overtakeWolf Worrior2, an action film from 2017.Written and directed by Jia Ling, the film is adapted from her comedy routine from 2016 which explored her relationship with her mother, who died in an accident when Ms. Jia was 19. At a time when many people have been separated from their families, the themes of grief and filial piety (孝道) inHi, Mombring agreement.The film’s impressive box office income is also a reminder of the health of the industry inChinacompared withHollywood. In the West cinemas remain closed due to lockdown or operate at limited capacity; inChina, where many restrictions have been lifted, between 50% and 75% of seats are available to book. During the Spring Festival, Chinese cinemas made an estimated $1.5 billion in ticket sales – 71% of takings at the American box office in all of 2020.With cinemas shut, film-sales agent stopped bringingHollywoodmovies to market. That has given locally made films a chance to excel. Since 2013, domestic films have taken around 60% of total box office earnings. In 2021, that number may get closer to 100%.8. What can be inferred from the first paragraph aboutHi, Mom?A. It will be a success.B.Wolf Worrior2 will be released after it.C. It is better than Wolf Worrior 2.D. It may be the first-highest-grossing film inChina.9. Which statement is NOT true according to the text?A. The film industry inChinais developing better than that inHollywood.B. The film is based on a real story.C. You can’t go to cinema because there are many restrictions.D. Many people can’t see their families often nowadays.10. What is the author’s attitude towards local films?A. NegativeB. PositiveC. IndifferentD. Skeptical11. What can be a suitable title for the text?A. Local Movies Arise.B. China Film Industry.C. Comedy Time.D.Hi, Mom-China’s Latest Hit.DIf you ever find yourself trapped in the wilderness without food, you'llhave to figure out how to feed yourself. Many plants in the wild areedible, but many are also poisonous. So it is necessary to learn how to determine whether the plants you find can be eaten safely.Avoid using this method without careful planning. Some plants can be deadly, and even if you follow these guidelines perfectly, there is always a chance that a plant will make you seriously ill. Prepare yourself for wilderness outings by learning about the local plants, and carry a guidebook to help you identify plants. Even if you are unprepared and cannot find food you know to be safe, remember that, depending on your activity level, the human body can go for days without food, and you’re better off being hungry than being poisoned.Testing the plant in your mouth is dangerous, so go forward very slowly and carefully. First, hold a small portion of the prepared plant part against your lip for 3 minutes. Do not put the plant in your mouth. If you notice any burning, tingling (刺痛), or other reactions, discontinue testing. Second, place another small portion of the plant part on your tongue. Hold the plant on your tongue without chewing for 15 minutes. Discontinue testing if you notice any reaction. Third, chew the plant and holdit in your mouth for 15 minutes. Chew the plant well, and do not swallow. Discontinue testing if you notice any reaction. Fourth, swallow the small portion of the plant. Wait 8 hours. Do not eat or drink anything during this period except purified water. If you feel sick, immediately throw up what you eat and drink plenty of water. If activated charcoal (活性炭) is available, take that with the water.12. What’s the meaning of the underlined world “edible” in paragraph 1?A. Suitable for using as food.B. Widely spread.C. Existing in large quantities.D. Not widely known.13. What can we know from paragraph 2?A. Planning is unnecessary when using the method.B. Not all plants in the wild can serve as food generally.C. Suffering hunger can be more dangerous than testing plants.D. Following the method perfectly can ensure safety.14. Which is the correct order of testing plants in the mouth?① wait and see ② chew it in the mouth③ put it on the tongue④ put it against lips ⑤ swallow itA. ③④②①⑤B. ④③②①⑤C. ③④②⑤①D.④③②⑤①15. Where might the passage come from?A. A student’s diary.B. A science report.C. A guide book for camping.D. A doctor’ s notebook.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。

2020-2021深圳华南中英文学校高中三年级数学下期末一模试卷及答案

2020-2021深圳华南中英文学校高中三年级数学下期末一模试卷及答案一、选择题1．设1i 2i 1i z -=++，则||z = A ．0 B ．12 C ．1 D ．22．某学校开展研究性学习活动，某同学获得一组实验数据如下表：x1.99 3 4 5.1 6.12 y 1.5 4.04 7.512 18.01对于表中数据，现给出以下拟合曲线，其中拟合程度最好的是( )A ．22y x =-B ．1()2x y =C ．2y log x =D ．()2112y x =- 3．设是虚数单位，则复数(1)(12)i i -+=（） A ．3+3iB ．-1+3iC ．3+iD ．-1+i 4．()()31i 2i i --+=（） A ．3i + B ．3i -- C ．3i -+ D ．3i - 5．设向量a r ，b r 满足2a =r ，||||3b a b =+=r r r ，则2a b +=r r （）A ．6B ．32C ．10D ．42 6．为美化环境，从红、黄、白、紫4种颜色的花中任选2种花种在一个花坛中，余下的2种花种在另一个花坛中，则红色和紫色的花不在同一花坛的概率是A ．13B ．12C ．23D ．567．如图是某高三学生进入高中三年来的数学考试成绩茎叶图，第1次到第14次的考试成绩依次记为1214,,A A A L ，下图是统计茎叶图中成绩在一定范围内考试次数的一个算法流程图，那么算法流程图输出的结果是（）A ．7B ．8C ．9D ．108．已知函数()(3)(2ln 1)x f x x e a x x =-+-+在(1,)+∞上有两个极值点，且()f x 在(1,2)上单调递增，则实数a 的取值范围是（）A ．(,)e +∞B ．2(,2)e eC ．2(2,)e +∞D ．22(,2)(2,)e e e +∞U 9．已知a 为函数f （x ）=x 3–12x 的极小值点，则a=A ．–4B ．–2C ．4D ．2 10．如图所示，网格纸上小正方形的边长为1，粗线画出的是由一个棱柱挖去一个棱锥后的几何体的三视图，则该几何体的体积为A ．72B ．64C ．48D ．32 11．若0,0a b >>，则“4a b +≤”是 “4ab ≤”的（）A ．充分不必要条件B ．必要不充分条件C ．充分必要条件D ．既不充分也不必要条件12．已知复数z 满足()12i z +=，则复数z 的虚部为（） A ．1B ．1-C ．iD ．i - 二、填空题13．若双曲线22221x y a b-=()0,0a b >>两个顶点三等分焦距，则该双曲线的渐近线方程是___________.14．已知曲线ln y x x =+在点()1,1处的切线与曲线()221y ax a x =+++相切,则a= ． 15．若三点1(2,3),(3,2),(,)2A B C m --共线，则m 的值为． 16．函数()22,026,0x x f x x lnx x ⎧-≤=⎨-+>⎩的零点个数是________． 17．若不等式|3|4x b -<的解集中的整数有且仅有1，2，3，则b 的取值范围是18．已知点()0,1A ，抛物线()2:0C y ax a =>的焦点为F ，连接FA ，与抛物线C 相交于点M ，延长FA ，与抛物线C 的准线相交于点N ，若:1:3FM MN =，则实数a 的值为__________．19．如图，用6种不同的颜色给图中的4个格子涂色，每个格子涂一种颜色，要求最多使用3种颜色且相邻的两个格子颜色不同，则不同的涂色方法共有种（用数字作答）．20．幂函数y=x α,当α取不同的正数时,在区间[0,1]上它们的图像是一族美丽的曲线(如图).设点A (1,0),B (0,1),连接AB ,线段AB 恰好被其中的两个幂函数y=x α,y=x β的图像三等分,即有BM=MN=NA ,那么,αβ等于_____.三、解答题 21．已知向量()2sin ,1a x =+r ，()2,2b =-r ，()sin 3,1c x =-r ，()1,d k =u r (),x R k R ∈∈（1）若,22x ππ⎡⎤∈-⎢⎥⎣⎦，且()//a b c +r r r ，求x 的值. （2）若函数()f x a b =⋅r r ，求()f x 的最小值.（3）是否存在实数k ，使得()()a dbc +⊥+r u r r r ？若存在，求出k 的取值范围；若不存在，请说明理由.22．某小组共10人，利用假期参加义工活动，已知参加义工活动次数为1，2，3的人数分别为3，3，4，现从这10人中随机选出2人作为该组代表参加座谈会．()1设A 为事件“选出的2人参加义工活动次数之和为4”，求事件A 发生的概率； ()2设X 为选出的2人参加义工活动次数之差的绝对值，求随机变量X 的分布列和数学期望．23．如图，矩形ABCD 和菱形ABEF 所在的平面相互垂直，ABE 60∠=︒，G 为BE 的中点.(Ⅰ)求证：AG ⊥平面ADF ；(Ⅱ) 求AB 3=BC 1=，求二面角D CA G --的余弦值.24．已知矩形ABCD 的两条对角线相交于点20M （，），AB 边所在直线的方程为360x y --=，点11T -（，）在AD 边所在直线上. （1）求AD 边所在直线的方程；（2）求矩形ABCD 外接圆的方程.25．已知数列｛n a ｝的前n 项和Sn ＝n 2－5n (n∈N +）．（1）求数列｛n a ｝的通项公式；（2）求数列｛12n n a +｝的前n 项和Tn . 26．设O 为坐标原点，动点M 在椭圆C 22:12x y +=上，过M 作x 轴的垂线，垂足为N ，点P 满足2NP =u u u v u u u v .（1）求点P 的轨迹方程；（2）设点Q 在直线3x =-上，且1OP PQ ⋅=u u u v u u u v.证明：过点P 且垂直于OQ 的直线l 过C 的左焦点F .【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：利用复数的除法运算法则：分子、分母同乘以分母的共轭复数，化简复数z ，然后求解复数的模. 详解：()()()()1i 1i 1i 2i 2i 1i 1i 1i z ---=+=++-+ i 2i i =-+=，则1z =，故选c.点睛：复数是高考中的必考知识，主要考查复数的概念及复数的运算．要注意对实部、虚部的理解，掌握纯虚数、共轭复数这些重要概念，复数的运算主要考查除法运算，通过分母实数化转化为复数的乘法，运算时特别要注意多项式相乘后的化简，防止简单问题出错，造成不必要的失分.2．D解析：D【解析】【分析】根据,x y 的数值变化规律推测二者之间的关系，最贴切的是二次关系.【详解】根据实验数据可以得出，x 近似增加一个单位时，y 的增量近似为2.5，3.5，4.5，6，比较接近()2112y x =-，故选D. 【点睛】本题主要考查利用实验数据确定拟合曲线，求解关键是观察变化规律，侧重考查数据分析的核心素养.3．C解析：C【解析】因为2(1)(12)1223i i i i i i -+=+--=+，故选 C.考点：本题主要考查复数的乘法运算公式. 4．B解析：B【解析】【分析】先分别对分子和分母用乘法公式化简，再分子分母同时乘以分母的共轭复数，化简即得最后结果.【详解】由题意得，复数()()()31i 2i 13i i 13i 3i i i i i --+-+⋅-+===----⋅．故应选B 【点睛】本小题主要考查复数的乘法和除法的运算，乘法的运算和实数的运算类似，只需要记住2i 1=-.除法的运算记住的是分子分母同时乘以分母的共轭复数，这一个步骤称为分母实数化，分母实数化的主要目的是将分母变为实数，然后将复数的实部和虚部求出来.属于基础题.5．D解析：D【解析】【分析】3=，求得2a b ⋅=-r r ，再根据向量模的运算，即可求解．【详解】∵向量a r ，b r 满足2a =r ，3b a b =+=r r r 3=，解得2a b ⋅=-r r ．则2a b +==r r ．故选D ．【点睛】本题主要考查了向量的数量积的运算，及向量的模的运算问题，其中解答中熟记向量的数量积的运算和向量的模的运算公式，合理、准确运算是解答的关键，着重考查了推理与运算能力，属于基础题．6．C解析：C【解析】试题分析：将4种颜色的花种任选2种种在一个花坛中，余下2种种在另一个花坛中，有6种种法，其中红色和紫色的花不在同一个花坛的种数有4种，故所求概率为23，选C. 【考点】古典概型【名师点睛】作为客观题形式出现的古典概型试题,一般难度不大,解答中的常见错误是在用列举法计数时出现重复或遗漏,避免此类错误发生的有效方法是按照一定的标准进行列举. 7．C解析：C【解析】【分析】根据流程图可知该算法表示统计14次考试成绩中大于等于90的人数，结合茎叶图可得答案．【详解】根据流程图所示的顺序，可知该程序的作用是累计14次考试成绩超过90分的次数．根据茎叶图可得超过90分的次数为9.故选：C ．【点睛】本题主要考查了循环结构，以及茎叶图的认识，解题的关键是弄清算法流程图的含义，属于基础题．8．C解析：C【解析】【分析】求得函数的导数()(2)()x xe a f x x x-'=-⋅，根据函数()f x 在(1,)+∞上有两个极值点，转化为0x xe a -=在(1,)+∞上有不等于2的解，令()xg x xe =，利用奥数求得函数的单调性，得到()1a g e >=且()222a g e ≠=，又由()f x 在(1,2)上单调递增，得到()0f x '≥在(1,2)上恒成立，进而得到x a xe ≥在(1,2)上恒成立，借助函数()x g x xe =在(1,)+∞为单调递增函数，求得2(2)2a g e >=，即可得到答案.【详解】由题意，函数()(3)(2ln 1)x f x x e a x x =-+-+，可得2()(3)(1)(2)()(2)()x x xx a xe a f x e x e a x e x x x x -'=+-+-=--=-⋅，又由函数()f x 在(1,)+∞上有两个极值点，则()0f x '=，即(2)()0x xe a x x--⋅=在(1,)+∞上有两解，即0x xe a -=在在(1,)+∞上有不等于2的解，令()x g x xe =，则()(1)0,(1)xg x x e x '=+>>，所以函数()xg x xe =在(1,)+∞为单调递增函数，所以()1a g e >=且()222a g e ≠=，又由()f x 在(1,2)上单调递增，则()0f x '≥在(1,2)上恒成立，即(2)()0x xe a x x--⋅≥在(1,2)上恒成立，即0x xe a -≤在(1,2)上恒成立，即x a xe ≥在(1,2)上恒成立，又由函数()x g x xe =在(1,)+∞为单调递增函数，所以2(2)2a g e >=，综上所述，可得实数a 的取值范围是22a e >，即2(2,)a e ∈+∞，故选C. 【点睛】本题主要考查导数在函数中的综合应用，着重考查了转化与化归思想、逻辑推理能力与计算能力，对导数的应用的考查主要从以下几个角度进行：(1)考查导数的几何意义，求解曲线在某点处的切线方程；(2)利用导数求函数的单调区间，判断单调性；已知单调性，求参数；(3)利用导数求函数的最值(极值)，解决函数的恒成立与有解问题，同时注意数形结合思想的应用.9．D解析：D【解析】试题分析：()()()2312322f x x x x ==+'--，令()0f x '=得2x =-或2x =，易得()f x 在()2,2-上单调递减，在()2,+∞上单调递增，故()f x 的极小值点为2，即2a =，故选D.【考点】函数的导数与极值点【名师点睛】本题考查函数的极值点．在可导函数中，函数的极值点0x 是方程'()0f x =的解，但0x 是极大值点还是极小值点，需要通过这个点两边的导数的正负性来判断，在0x 附近，如果0x x <时，'()0f x <，0x x >时'()0f x >，则0x 是极小值点，如果0x x <时，'()0f x >，0x x >时，'()0f x <，则0x 是极大值点.10．B解析：B【解析】【分析】由三视图可知该几何体是一个底面边长为4的正方形，高为5的正四棱柱，挖去一个底面边长为4，高为3的正四棱锥，利用体积公式，即可求解。

2020-2021学年深圳南山外国语学校高三英语下学期期末试题及答案解析

2020-2021学年深圳南山外国语学校高三英语下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AShopping centers，stadiums and universities may soon have a new tool to help fight crime.ACaliforniacompany called Knightscope says its robots can predict and prevent crime. Knightscope says the goal is to reduce crime by half in areas the robots guard.William Santana Li is the chief executive officer of Knightscope. He says，"These robot security guards will change the world. Our planet has more than seven billion people on it. It's going to quickly get to nine billion people. The security equipmentthat we have globally is just not going to develop that fast. The company's Autonomous Data Machines can become the eyes and ears of law enforcement（执法）.""You want them to be machines plus humans. Let. the machines do the heavy and sometimes dangerous work and let the humans do the strategic decision-making work，so it's always working all together."The machines do not carry weapons but they have day and night video cameras which are able to turn 360 degrees and can also sense chemical and biological weapons.Some people may become concerned about their privacy, especially in connection with the video recordings. Some people may worry that such recordings will appear on the Internet. Eugene Volokh, a law professor at the UCLA School of Law, says the machines have to be used in the right way and it will be interesting to see how state laws deal with this kind of video.William Santana Li says there is a long waiting list for the robots in theUS. Workers in the company are working overtime to meet the demands of the market. At least 25 other countries are also interested in these robot security guards.1. What can this new tool do for humans?A. Make strategic decisions.B. Keep watching day and night.C. Carry heavy weapons.D. Stop crime autonomously.2. Why are some people worried about the new robots?A. Their privacy may be let out.B. The robots are very expensive.C. Robots will replace humans.D. They will be out of work soon.3. Which of the following can be the best title of the text?A. Robots Are Becoming More PopularB. Robots Contribute aLotto the WorldC. Robots Are in Great Demand NowD. Security Robots Could Help Cut CrimeBMore than 10,000 people were made homeless in Ternang when the Sungai Mas overflowed its banks yesterday after six days of continuous heavy rain.The wooden bridge across the river has been washed away. The town is cut off by flood waters. At the fifth mile, Jalan Tengkn, the water is two meters deep. It is closed to all traffic. Flooding first happened at mid-afternoon yesterday along the river banks. People trying to get to higher ground were just in time to escape the destroying of the flood. Most of the flood victims(受害者) had to leave all their things behind.The National Flood Relief(救济) Center was reported to give its help and by early evening the whole town was moved out, helped by the army, police, Red Cross Society and volunteers(志愿者).The flood victims are now housed in different simple relief centers in the nearby town of Ternang. “Everything possible is being done to help the unlucky people,” a government spokesman said, “In fact, money, food and clothing have begun to come in from public organizations and helpful people. A Disaster Relief Fund(救灾基金会) will be started as soon as possible.”According to the latest reports it is still raining heavily at Ternang. The whole town is expected to be wholly covered by the water. So far no deaths have been reported.4. This passage is probably taken from______.A. a storybookB. a textbookC. a magazineD. a newspaper5. It seems that the flood happened just because ______.A. the banks were too lowB. the wooden bridge is solid (坚固)C. the river was too narrowD. they had had wet days for some time6.From the passage we know that ______.A. though the town was flooded, you could still go there by busB. as soon as the water flowed over the banks, people began to go to higher landsC. the government and the whole society are taking great care of the flood victimsD. the flood hasn't brought a large loss to the town as nobody died in the flood7. What is the best title for this passage?A. A Big FloodB. Ternang Is destroyedC. Over 10,000 People Are HomelessD. Rescue Team ArrivedCIn the Pacific Northwest during winter, 5:15 am might as well be the dead of night. The alarm goes off and the onlylight is the red glow from my clock. My body says, “Go back to bed.” But I don’t. I know my running partner will be waiting in the street and I’m not going to stand her up. Then I walk onto the road, complaining about the cold and wishing I were back under my warm covers.If you’d have asked me a year ago if I could see myself running at 5:15 on a winter morning, I’d have laughed. Morning just wasn’t my thing and running in the morning was something I didn’t even consider. “I prefer to work out in the middle of the morning or in the afternoon,” I’d say to my friends who go to the gym before work.Then, last fall I reconnected with an old neighborhood friend. She’d been running in the morning and taken off forty pounds that year. When I looked in the mirror, I knew I could benefit from the same kind of weight loss. I asked if I could join her. I knew I needed to change something if I was going to get back in shape.The first two months were especially hard, because we ran twice a week at 5:15 am and I slept till 7:00 the other mornings. But as I’ve adjusted to the routine of running, I’ve discovered great joys that make it even more worthwhile than a little weight loss.While I haven’t lost forty pounds yet, it’s amazing how much more energy I have and how much stronger I feel. Because of the morning run, the rest of my day is more productive. I wouldn’t say I’ve become a morning person, but I would say morning running is now my thing.8. What can we know about the author from paragraph 1?A. 5:15 is the ideal time for her to exercise.B. She prefers to run without any company.C. She takes the run with warm clothes on.D. She goes for a run in spite of the cold and early rise.9. What was the author’s attitude to morning running a year ago?A. Scared.B. Unfavorable.C. Supportive.D. Confused.10. What made the author begin to run in the morning?A. Her partner’s encouragement.B. Her friend’s suggestion.C. Realizing the benefits of running.D. Realizing the harm of being fat.11. What effect does morning runninghave on the author?A. She has become slim again.B. She has become more confident.C. She has become more energetic.D. She has become more exhausted.DWhen I was a child, I attained high grades in my academic study. However, I was physically uncoordinated because I was running too slowly. But for future college application, sport was a must. So I took up fencing (击剑) because I thought it required more strategy than athletic ability.Then I joined the school’s fencing team. My movements were clumsy compared to the seniors. One afternoon after a whole lesson’s failure, tears of frustration welled up in my eyes. One of my teammates approached me, “Could you tell me where your blade (剑) hit me?” She asked. I pointed to her right shoulder. She nodded and patted my stomach, “That’s where I hit you.” She had begun to walk away when I blurted out, “Want to practice together? Again?”We practiced until we both felt more confident. But it wasn’t just the two of us. All these girls were entirely willing to share their knowledge with everyone, helping each other to grow.That afternoon, I watched a senior fencer execute a flawless attack admiringly. Something inside me suddenly bloomed. I realized later that it was love for both fencing and the fencing team.During the city championship, I was selected to fence. My opponent was the best fencer on her school’s team. “Ready, fence.” The match began. Suddenly, my opponent’s blade hit me. The score was 1-0.At the moment I could hear my teammates shouting, “Keep distance!” And the team captain’s voice was clear and commanding, “Parry, then disengage!”Fencing, unlike academics, wasn’t something I could succeed in by myself—even during an individual match, my teammates were still giving me advice. Unathletic as I was, I was proud to be an athlete and a teammate.I saw my blade tip bury itself into my opponent’s shoulder and the judge signaling that it was my point. I could taste the sweat on my lips, which were breaking out into a smile.12. Why did the author start to learn fencing?A. Because she needed to train her coordination.B. Because she thought it would be easier for her.C. Because she could not succeed in any other sport.D. Because she wanted to enter the school fencing team.13. How did the girls improve their fencing skills?A. By observing flawless attacks.B. By practicing on their own.C. By offering guidance to each other.D. By competing with other teams.14. What distinguishes fencing from academics according to the author?A. Strong determination.B. Hard work.C. Athletic strategy.D. Team support.15. How did the author feel when she got her point?A. Unbeatable and respectful.B. Sweaty and ashamed.C. Energetic and secure.D. Proud and thankful.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。

2020-2021学年深圳南山深大附中高三英语期末考试试题及答案解析

2020-2021学年深圳南山深大附中高三英语期末考试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AThe Rechargeable Go!☑The digital sound processing chip(芯片) provides clear sound and makes speech easier to understand with less whistling sound☑Never replace batteries again!Full Charge Gives 16 Hours of Use! (Free Charging Station Included)☑Easy On/ Off Button☑Automatic Noise Reduction and Feedback Canceler☑100% Money Back Guarantee5 Star Reviews☑☑☑☑☑Amazing!"My sisters had all given up hope that our elderly mother would hear us clearly again. And then we took a chance. We're so glad we did. They've been amazing for her, and for our entire family."-Karen M.The new HearClear GO Rechargeable Digital Hearing Aids feature advanced digital technology at an unbelievably affordable price! The GO has the same key elements that all high-end digital hearing aids share while leaving out fancy bells and whistles that increase cost and require expensive adjustments. You'll be happier saving much money!Your lightweight GO hearing aids are amazingly convenient! With the GO'S charging station, you won't have to keep replacing tiny hearing aid batteries, and the GO is pre-programmed for most mild to moderate hearing loss-no costly professional adjustments needed.You can spend thousands on an expensive hearing aid, or you can spend just $ 239 on a hearing aid that's great for most mild to moderate hearing loss (only $ 199 each when you buy a pair). We're so sure you'll be happy with your new hearing aids.1. Which is the feature of the GO?A. It removes noises.B. It has separate on/ off buttons.C. It includes small batteries.D. It focuses on practical functions.2. Why does the author refer to Karen?A. To prove the GO's popularity.B. To explain the GO'S function.C. To convey the family's amazement.D. To show the GO'S high performance.3. How much do you pay for a pair of the GO?A. $ 199.B. $ 239.C. $ 398.D. $ 478.BSince I was born and brought up in a rural town, I have a great interest in nature. Using the chance of studying abroad in my second year at college, I decided to go toCanadajust because I wanted to see the beautiful phenomena there So after I finished the study program, I went toYellowknifein theNorthwest Territories.I clearly remember the sixth night inYellowknife. Suddenly my host mother came to my room around 8 p.m. and told me to change clothes and go outside quickly carrying her camera.The northern lights were flickering (闪烁) in the sky! I was shocked and just stood there with my mouth open.I forgot to take pictures of the mysterious lights.Since that night, whenever it was sunny, I went outside at night and looked at the sky. It was so cold that I lost all feeling in myhands and feet.As I took pictures of the northern lights, I came to find a characteristic movement of the lights. They first appear in the north part of the sky and then they gradually come down to the south part of the sky. After that, suddenly, they come in the middle of the north and south only for a while, which is the time when the best northern lights can be seen. Since it is only a few seconds for the northern lights to come down to the middle of the sky, it is very hard to get good pictures.The stronger the sun acts, the better and stronger the northern lights flicker in the sky. That’s because they come about from the collisions (碰撞) between atmospheric gases and the solar wind. Much more solar wind comes to the earth when the sun is active, whichleads to the best northern lights. And the color1 s of the northern lights depend on the height of the collisions and the kinds of gases.4. Why did the host mother ask the author to go out?A. She wanted to take a picture of him.B. She wanted to take a walk with him.C. She wanted to tell him something important.D. She wanted him to see the northern lights.5. The author forgot to take pictures after going out because ______.A. the host mother didn’t remind him to take the cameraB. he was shocked by the wonderful sightC. the lights flickering in the sky disappeared too soonD. he lost all feeling in his hands and feet6. When is the best time to see the northern lights?A. When they appear in the north part of the sky.B. When they come down to the south part of the sky.C. When they are between the north and south.D. When they rise in the east part of the sky.7. What does the last paragraph mainly tell us?A. Waysto take good pictures.B. The relationship between the sun and the northern lights.C.The color1 s of the northern lights.D. The time of the best northern lights.CMany of us were delighted to learn that a high school senior Kwasi Enin was accepted to all eight Ivy League universities. To our surprise, he wasn't excited as expected, but appeared extra calm. He announced that he would revisit the universities to find the best suitable in music or medicine. He also wanted to compare their financial aid packages.Kwasi's success story is rare, but his reaction is not. After the admission letters arrive at home, students have 30 days to really think about what kind of school would help them grow as a person, which school would best prepare them for the future, and at which school they would be happiest. And they also have to think about whether they can afford the school they choose.But how to answer the questions about which school is the best suitable university? Some young people are attracted to large universities with great school spirit and a list of offerings. But besides those advantages, many ofthese universities focus on graduate work and research, with undergraduates taught mostly by part-time instructors. Others are attracted to smaller boarding schools with discussion-based classes. But some of these schools will have much limitation for students who want a high-energy city life experience.Many students today seem to think they should pick the university where they will get the diploma that will help them get the most highly paid job. This is a sad misunderstanding of what a college education should provide.A good college education should prepare them to overcome any difficulty andthrivein society. It helps them to form the habit of creative mind and spirit that will continue to develop far beyond their university years. So when you choose college, you should consider if it is filled with useful learning to help create new spaces for different possibilities of growth.8. What can we know about Kwasi Enin from paragraph 1?A. He was from a very poor family.B. He would choose the top university.C. He was too excited to calm himself at the good news.D. He considered his interests when choosing his university.9. What can you infer from paragraph 2?A. Few students can be admitted to university.B. Many students face the choices like Kwasi.C. Top universities are the first choice for most students.D. American students can afford their university by themselves.10. Which of the following can best explain the underlined word “thrive” in paragraph 4?A. FailB. SucceedC. ResearchD. Work11. What should the best university be like according to the text?A. Very large and have good instructors.B. Small boarding schools with discussion-based classes.C. It will offerthe diploma to get the most highly paid job.D. It will help continue to develop far beyond university years.DContrary to the long-held belief that plants in the natural world are always in competition, new research has found that in severe environments adult plants help smaller ones and grow well as a result.The research, led by Dr Rocio, studied adult and seedling (幼苗)plants in the ecological desert in thesouth-east of Spain. Dr Rocio said, “If you're a seedling in a poor land — the top of a mountain or a sand hill, for example-and you’re lucky enough to end up underneath a big plant, your chances of survival are certainly better than if you landed somewhere on your own. What we have found, which was surprising, is an established large plant, called a ‘nurse’, protects a seedling; it also produces more flowers than the same plants of similar large size growing on their own.”Other benefits of nurse-seedling partnerships include that more variety of plants growing together can have a positive effect on the environment. For example, vegetation areas with nurse plants with more flowers might be able to attract higher numbers of pollinators(传粉者)in an area, in turn supporting insect and soil life and even provide a greater range of different fruit types for birds and other animals.“The biggest winner for this system of nursing a plant is biodiversity(生物多样性),” Dr Rocio said. “The more biodiversean area, the greater number of species of plants, insect life, mammals and birds, and the better the chances of long-term healthy functioning of the environment and ecosystems. ” This system is win-win for adult and seedling plants in unfavorable environments.The research is of value to those who manage and protect plants in tough environments. Most home gardeners and farmers plan to ensure their soil and conditions are the best they can be for plant growth, but the findings might be of value to those who garden in bare places.12. What is a common understanding of plants?A. They can help each other.B. They can survive ill conditions.C. They compete with each other.D. They grow well on their own.13. What will happen to seedling plants if they grow under adult plants?A. They will produce more flowers.B. They will die owing to competition.C. They will make adult plants larger.D. They will get support from adult plants.14. What is the effect of the nurse-seedling partnership?A. It leads to unfavorable environments.B. It produces long-term healthy chances.C. It attracts higher and larger pollinators.D It provides a more variety of plant types.15. Who will benefit from the new research?A. People studying organic farming.B. People protecting plants on sand hills.C. People wanting to change biodiversity.D. People keeping more animals on the farm.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。

2020-2021学年广东省深圳市新华中学高三数学文下学期期末试题含解析

2020-2021学年广东省深圳市新华中学高三数学文下学期期末试题含解析一、选择题：本大题共10小题，每小题5分，共50分。

在每小题给出的四个选项中，只有是一个符合题目要求的1. 如图，网格纸上小正方形的边长为1，粗线画出的是某三棱锥的三视图，则该三棱锥的体积为（）A．B．C．D．16参考答案：B2. 已知集合，，则（）（A）（B）（C）（D）参考答案：A3. 已知函数，且，若关于的方程有3个不同实根，则实数k的取值范围是（）A. B. C.D.参考答案：C4. 已知点,,,，则向量在方向上的投影为（）A．B．C．D．参考答案：A略5. 已知函数y＝f(x－1)的图象关于点(1，0)对称，且当x∈(－∞，0)时，f(x)＋xf′(x)<0成立(其中f′(x)是f(x)的导函数)，若a＝(30.3)·f(30.3)，b＝(logπ3)·f(logπ3)，c＝·f，则a，b，c的大小关系是()ks5uA．a>b>c B．c>a>b C．c>b>a D．a>c>b参考答案：B略6. 已知角的顶点为坐标原点，始边为轴的非负半轴，若是角终边上的一点，且，则的值为( )A． B． C．或 D．或参考答案：A略7. 已知等差数列的前项和为，若，则（）A． B． C．D．参考答案：C8. 若函数在为单调函数，则实数a的取值范围是( )A.(－∞,－1]∪[1,+∞)B. (－∞,－1]C. [1,+∞)D. [－1,1]参考答案：A9. 将函数的图象向右平移θ（θ＞0）个单位长度后，所得到的图象关于y轴对称，则θ的最小值是（）A．B．C．D．参考答案：D【考点】三角函数中的恒等变换应用；函数y=Asin（ωx+φ）的图象变换．【分析】y=cosx+sinx=2cos（x﹣），故将函数平移后得到y=2cos（x﹣﹣θ），由于平移后的新函数是偶函数，得cos（﹣x﹣﹣θ）=cos（x﹣﹣θ），即cos（x++θ）=cos（x﹣﹣θ）恒成立，于是x++θ=x﹣﹣θ+2kπ，解出θ=kπ﹣．【解答】解：∵y=cosx+sinx=2cos（x﹣），∴将函数平移后得到的函数为y=2cos（x﹣﹣θ），∵y=2cos（x﹣﹣θ）的图象关于y轴对称，∴cos（﹣x﹣﹣θ）=cos（x﹣﹣θ），即cos（x++θ）=cos（x﹣﹣θ）恒成立．∴x++θ=x﹣﹣θ+2kπ，解得θ=kπ﹣．∵θ＞0，∴当k=1时，θ取最小值．故选：D．10. 已知a、b是两条异面直线，c∥a，那么c与b的位置关系（）A.一定是异面B.一定是相交C.不可能平行 D.不可能相交参考答案：C略二、填空题:本大题共7小题,每小题4分,共28分11. 在平面直角坐标系xOy中，点M是椭圆（a＞b＞0）上的点，以M为圆心的圆与x轴相切于椭圆的焦点F，圆M与y轴相交于P，Q两点．若△PQM是钝角三角形，则该椭圆离心率的取值范围是．参考答案：12. 复数的实部为_________ ；虚部为___________.参考答案：【分析】直接利用复数代数形式的乘除运算化简得答案．【详解】＝＝.实部为，虚部为.故答案为：(1)；(2).【点睛】本题考查复数代数形式的乘除运算，考查复数的基本概念，是基础题．13. 已知F1为椭圆的左焦点，直线l：y=x﹣1与椭圆C交于A、B两点，那么|F1A|+|F1B|的值为．参考答案：【考点】椭圆的简单性质．【专题】计算题．【分析】由椭圆方程求出F1点的坐标，联立方程组求出A、B两点，然后利用两点间断距离公式求出|F1A|+|F1B|的值．【解答】解：把y=x﹣1代入椭圆，并整理，得3x2﹣4x=0，解得x1=0，y1=﹣1，，∴，F1（﹣1，0），∴|F1A|+|F1B|=+=．故答案为：．【点评】本题考查直线和椭圆的位置关系，解题时要认真审题，仔细挖掘题设中的隐含条件．14. 已知函数，，若与的图像上存在关于直线对称的点，则实数m的取值范围是________．参考答案：因为与的图像上存在关于直线对称的点，若关于直线对称的直线为，则直线与在上有交点，直线过定点，当直线经过点时，则直线斜率，，若直线与相切，设切点为，则，解得，时直线与在上有交点，即与的图象上存在关于直线对称的点，实数的取值范围是，故答案为．15. 从集合中随机选取一个数记为k，从集合中人随机选取一个数记为b,则直线不经过第四象限的概率为------------.参考答案：略16. 平行四边形ABCD中，已知AB=4，AD=3，∠BAD=60°，点E，F分别满足=2，=，则?= ．参考答案：﹣6【考点】平面向量数量积的运算．【分析】利用平行四边形法则，将分别利用平行四边形的相邻两边表示，然后利用已知计算向量的数量积．【解答】解：如图所示，由平行四边形可得：．∵，∴，，∴==3×4×cos120°+﹣+×3×4×cos60°=﹣6．17. （不等式选做题）若不等式对任意的实数x恒成立，则实数a的取值范圉是．参考答案：三、解答题：本大题共5小题，共72分。

2020届深圳南山外国语学校高三英语下学期期末考试试卷及答案

2020届深圳南山外国语学校高三英语下学期期末考试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ABook reading is certainly one of the most absorbing habits. For young adults who love to read, finding some good books to read is very essential. Writing a book review can help you to improve your language and writing skills.The Book ThiefListed onThe New York Times Children’s Best Seller List for over 100 weeks, The Book Thief by Markus Zusak is the story of a young girl in the Nazi camps set during World War II. So, if you love history and wish to learn how the life was during Adolf Hitler’s time, read this historic book.The Diary of Young GirlEven Anne Frank can not have imagined that her personal diary written during World War II would become such a popular book. It’s a must read that describes the situation of a family in the evils of wars through the eyes of a teenager.Animal FarmAnimal Farm is one of the most popular books by George Orwell. It is just a reflection of the Stalin and World War II period that has been so creatively presented in this book. It is an interesting example of how literature can be used to present conditions common in the society.Adventures of Huckleberry FinnMark Twain’s Adventures of Huckleberry Finn is one of the great American novels in history, and is certainly a great pick for young adults. Young Huck Finn and his mischief along with the color1 ful description of people around theMississippi Rivermake this novel a great book to read.1.Which book describes the author’s own experiences according to this passage?A.The Book ThiefB.The Diary of Young GirlC.Animal FarmD.Adventures of Huckleberry Finn2.What do the first three books have in common?A.All of them are about wars.B.All of them are about farms.C.All of them are intended for history lovers.D.All of them were written during World War II.3.The purpose of this passage is to _________.A.instruct youngsters how to improve skillsB.tell youngsters some wonderful reading habitsC.introduce several good books to youngstersD.give youngsters advice on writing a book reviewBYu Chenrui, 29, is a maker of automata (机关人偶) in Chengdu, Sichuan province. Automata are built to look like humans or animals and give the illusion (错觉) of being able to move on their own, “The art form amazes me, becauseit combines various skills, from storytelling to mechanics, and the pieces are built with a sense of humor,” Yu says. His creations have caught the attention of well-known artists and his fancy pieces of art have attracted collectors worldwide.Interested in handcrafts as a boy, Yu first encountered automata designed by Japanese artist Kazuaki at an exhibition in 2015 when he studied at the Communication University of China inBeijing. “It was like meeting a like-minded friend, ” Yu says, recalling the moment. As an art and design major, he began to learn the craft by himself and, with the support of his tutor, he kept studying and examining automata in school.When he graduated in 2016, Yu landed a job at an advertising agency inBeijing. He stayed on at the company for three years because, at that time, he was not sure that he could make a living out of his hobby. While working as a designer Yu kept exploring and advancing his skills in wood carving and mechanics. Eventually, despite the job’s good salary, it was not enough to make up for not following his true passion. Finally, in 2018, Yu quit his job and returned toChengduto open his automata workshop.To keep himself occupied while running his workshop, he planted blueberries, raspberries and cherries. He watered, weeded and added fertilizer (肥料) every day. “Daily routines helped me calm down and inspire my creativity, which resulted in an automaton called To Observe the Autumn,” Yu says.Over time, Yu’s reputation grew and his business flourished (兴旺). Many of Yu’s creations are built with a dash of wisdom, a sprinkle of humor and are inspired by observations of real life. Yu knows that there are many more creative ideas waiting to be expressed. “It feels quite good to be fully devoted to automata creation and I am still searching for myself.”4. What can we learn from the first paragraph?A. Yu is equipped with various skills.B. Yu is a person full of sense of humor.C. Yu is now gaining recognition worldwide.D. Yu is following the latest trend in handcraft.5. Why did Yu quit his job inBeijing?A. He couldn't make a living out of it.B. He wanted to pursue his own dream.C. He missed his family inChengdu.D. He thought he had a lot experience.6. According to Yu, what contributes to his creativity as an automata artist?A. The fruits he grows.B. Success of his business.C. His devotion to the job.D. Observation from daily life.7. Which of the following can best describe Yu’s story?A. There is no end to learning.B. Great hopes make great man.C. Actions speak louder than words.D. Experience is the mother of wisdom.CThe Gata used to look annoyed when they received power bills that routinely topped $200. Last September the couple moved into a 1,500-square-foot home in Premier Gardens, an area of 95 “zero-energy homes” (ZEH) just outside town. Now they're actually eager to see their electricity bills. The grand total over the 10 months they've lived in the three-bedroom house: $75. For the past two months, they haven’t paid a cent.ZEH communities are the leading edge of technologies that might someday create houses that produce as much energy as they consume. Premier Gardens is one of a half-dozen subdivisions (住宅开发项目) in California where every home cuts power consumption by 50%, mostly by using low power appliances and solar panels.Aside from the panels on the roof, Premier Gardens looks like a community of traditional homes. But inside, special windows cut power bills by blocking solar heat in summer and keeping indoor warmth winter.The rest of the energy savings comes from the solar units. They don't just feed the home they serve. If they generate more power than the home is using, the excess flows into the utility's power grid(电网). The residents are billed by “net metering”: they pay for the amount of power that they get from the grid, minus the kilowatts(千瓦) they feed into it. If a home generates more power than it uses, the bill is zero.That sounds like a bad deal for the power company, but it's not. Solar homes produce the most power on thehot sunny afternoons when everyone rushes home to turn up the air conditioner. "It helps us lower usage at peak power times," says solar expert Mike Keesee. “That lets us avoid building costly plants or buying expensive power at peak usage time.”What’s not to like? Mostly the costs. The special features can add $25,000 or more to the purchase price of a house. Tax breaks bring the cost down, especially in California, but in many states ZEHs can be extremely expensive. For the consumer, it's a matter of paying now for the hardware to save later on the power bill.8. Why is the Gata eager to see their electricity bills now?A. They want to cut down their utility' expenses.B. They want to know if they are able to pay.C. They want to see how much they have saved.D. They want to avoid being overcharged.9. What is special about the ZEH communities?A. They are built in harmony with the environment.B. They have created cutting edge technologies.C. They are subdivided into half a dozen sections.D. They aim to be independent in power supply.10. What does the "net metering" practice mean to the power company?A. More pressure at peak timeB. Reduced operational costs.C. Increased electricity output.D. Less profits in the short term.11. The author believes that buying a house in a ZEH community __________.A. is a worthy investment in the long runB. is but a dream for average consumersC. gives the owner great tax benefitsD. contributes toenvironmental protectionDSimply being quiet is a growing appeal. Lots of business have appeared to meet a rising demand for quiet time, from silent weekend getaways to silent dining, silent reading parties and even silent dating. Silence can mean different things to different people. We are usually silent only with those closest to us. So there is something almost radical(不同凡响的)about the recent trend towards enjoying silence with strangers.Mariel started a regular silent reading party inDundeejust under a year ago. Readers bring their books and meet in a bar, where they read together in silence for an hour or sometimes two and then put their books away to chat and have a drink. “When the reading party starts, everything goes quiet,” says Mariel, “ It’s a little bit surreal(超现实的), especially in what is usually a noisy bar. However, there is something special about sharing the silence with others. It offers a chance to escape from reality; everyone is so busy with work and with technology being ever present. An event like thisgives people the opportunity to escape these things for a while.”Honi Ryan is an artist based inBerlinwho began hosting silent dinner back in 2006. The rules of the dinner are: no talking, no using your voice, no reading or writing, trying to make as little noise as possible, not connecting with technology, and staying for at least two hours. So far she has taken her silent dinner project toMexico, theUS,AustraliaandChina. “It’s evident that the age-old connections we make over food do not depend on the words around it. Silence creates the space for the people and places involved to fill with whatever is needed;itis quite different from our usual social behaviors.”12. Why have lots of silent businesses appeared?A. To satisfy people’s demand for silence.B. To make people get close to each other.C. To appeal to young people.D. To change people’s old way of life.13. What can we learn about Mariel’s silent reading parties?A. Readers can use their voice while reading.B. Readers can be busy with their work.C. Readers can connect with technology.D. Readers can chat and drink after reading.14. The underlined word “it” in the last paragraph refers to .A. noiseB. spaceC. silenceD. food15. What can be a suitable title for the text?A. Escape from Reality.B. Enjoying Being Quiet.C. Silent Reading Parties.D. Silent Dining Projects.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。

2020-2021学年深圳南山外国语学校高三英语下学期期末考试试题及答案解析

2020-2021学年深圳南山外国语学校高三英语下学期期末考试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ALOI English—English Conversation ClassesTake English conversation classes with native English -speaking teachers from theUnited States,IrelandandAustralia, live, 1 - on - 1.This is by far the best way to improve your real spoken English and listening abilities and get to a level where you can use it in real - life situations. Our teachers mainly carry on conversations about work in different fields, such as business, finance, politics and travel. However, if you like, you can have normal day - to - day conversations about events, weather, etc. If you would like to learn some grammar during conversation, we can do that too!Our English Conversation classes：• Your conversations will always be with a native English speaker.• You can choose the time, day and teacher for each class.• The classes are made for each student individually. They will be at your level, studying what you need and what interests you.Packages10 Classes Package $ 229.90Interested in taking 10, 55 - minute conversation English classes?Schedule a first free class with LOI English and talk to the teacher about it. After that, you can arrange to take our 10 - class conversation English course.20 Classes Package $ 439,80Interested in taking 20, 55 - minute conversation English classes?Schedule a first free class with LOI English and talk to the teacher about it. After that, you can arrange to take our 20 - class conversation English course.1. What do the classes mainly focus on?A. Daily conversations.B. Work - related topics.C. Grammar rules.D. Area - based accents.2. Which is NOT offered to the students?A. Native English - speaking teachers.B. Personalized courses.C. Choice of class time and teacher.D. Offline learning materials.3. What should a student do first if he decides on either of the packages?A. Arrange a free class with LOI English.B. Bargain with LOI English for lower fees.C. Choose an experienced LOI English teacher.D. Make a promise to sit through each class.BIn ancient times, Chinese used plant leaves or bird feathers as a fan during the summer time. This was the earliest form of the fan. The first real fan was made back in the era of Yao and Shun period thousands of years ago. Since then,Chinese-made fans have become a vital part of Chinese art and culture. At the beginning, the fan functioned as a tool to generate a current of air in the hot weather. Now electric fans such as ceiling fans and other technological breakthroughs have taken the place.Long ago, fans caught the attention of ancient Chinese artists by chance. Thereafter, a unique fan art gradually took shape in the history of Chinese culture. Fan art usually includes Chinese calligraphy, paintings, or poems on the sectors（扇区）. Special skills are needed to write or paint on them.Due to its history and partly because of its unique shape, Chinese would soon develop the tradition of using fans as ornaments（装饰品）. Fans are made in different sizes and different color1 s to meet the needs of each request. Other Chinese ornaments, such as the Chinese knot, the green jade, and the Spring Festival picture, are often combined in each design.The value of fans depends mainly on the materials used and the level of craftsmanship that is involved during the process. Feather, paper, jade, bamboo and silk have all been used as ideal materials to make fans. Ancient Chinese even made iron fans to serve as deadly weapons（武器）in Chinese martial arts. Fans made by famous craftsmen are often characterized by pretty designs and detailed workmanship, and thus become favorites of collectors. Fans with masterpiece fine art like calligraphy or paintings are even more valuable.4.What is the first paragraph mainly about?A. The origin of fans.B. The materials of fans.C. The popularity of fans.D. The production of fans.5. Why do Chinese use fans as ornaments?A. They are made of valuable materials.B. They reflect the beauty of Chinese culture.C. They convey literature works on the sectors.D. They are often combined with other ornaments.6. Which of the following makes a fan favored by most collectors?A. Its advanced function.B. Its complex character.C. Its artistic handicraft.D. Its various applications.7. What can we infer about the fan from the text?A. Chinese send fans to their friends as gifts.B. Chinese ornaments can meet different requests.C. Traditional fans have lost their functional value.D. The fan plays different roles with the change of time.CIn someareas ofCalifornia, it’s so dry that farmers aren’t willing to plant crops this season. Growers, north ofSan Francisco, have begun pulling out of local farmers markets.CountyLineHarvest, which farms more than 30 acres inPetaluma, hasn’t had enough water to grow all the peppers, lettuces and other produce for a long time, according to a video on its Instagram page. Nearby farms arc saying the same, emphasizing (强调) the effect of theextendeddry periods.Californiagrows a third of theUnited States' vegetables and two-thirds of the nation's fruits and nuts. If dry weather prevents farmers from growing plants, that could lead to pushing up the price of food that's already starting to affect theU.S.economy.“Due to severe drought, for the first time in 21 years, we will not be able to grow this summer inPetaluma,"CountyLinesaid in its post.Drew Lerner, president of World Weather Inc. inKansas, saidCalifornia“missed the rainy season" and won't see much moisture (水分) over the next several months.A La Nina weather pattern in the Pacific pushed winter storms north and away from the state, leaving it with less moisture than usual. AsCaliforniagets most of its water from winter storms, little relief is expected before October.That has left growers such as Shao Shan Fann in a bind. The business can’t offer the selection of Asian vegetables and Bay Area staples it usually grows at its Bolinas location, according to its website.Nearby, Green Valley Community Farm has access to only about 5% of the water it usually relies on, owner David Plescia said. He’s looking for new land with enough water to use, and also has a permit in the works to grow cannabis to make up for the lost income. If it doesn’t make it, he’ll leave the fields empty.“It’s part of our generation’s cross to bear, figuring out how to run small — or medium-scale farm businesses in this kind of atmosphere of highly variable rainfall,” Andrew said.8. What does the underlined word “extended” in the second paragraph mean?A. Hot.B. Short.C. Long.D. Wonderful.9. Which is the result if the dry weather stops famers from planting crops?A. Theincreaseinthe priceof food.B. The growth of economy inU.S.C.Lessmoisture than usual.D. The low price of Asian vegetables.10. From what Andrew said, we can infer (推断) all of the following statements EXCEPT that________.A. The climate is not very goodB. It is part of the burden for people of his generationC. It is hard for him to run his farm businesses insuch bad climateD. He is sure that the serious drought will come to an end soon11. What does the passage mainly talk about?A. How do the famers run businesses inCalifornia.B. How does the owner look for new land with enough waterC. California farmers facing drought choose not to plant crops.D. The farm economy of theUnited Stateshas changed a lot.DAs a 51-year-old first-aid responder since 1984, Jeffrey never knows what type of situation he might walk into, or who he'll meet along the wayTen years into the job, Jeffrey received a call that reported that a man in his early 30s had fallen down in the Mall of America. When Jeffrey and his partner arrived at the scene, they found the young male face down on the ground. He had gone unconscious, making weak attempts to breathe. His wife stood beside him holding their small son in horror. They quickly rushed to calm the man to keep him under control and offer necessary first aid. After Jeffrey dropped the patient off at the neighboring hospital, he thought about the man and his family for a long time.Jeffrey thought he had experienced everything under the sun until one random visit to Office Max three yearsago, where he met a man repeatedly walking back and forth while staring at him. As it turned out, the man was the patient he had saved 20 years earlier."You gave me 20 years more than I ever thought I'd have," the man said. He thanked Jeffrey repeatedly and told him he had someone he wanted him to meet. He stepped around the corner and reappeared with a 20-something-year-old man. Jeffrey instantly knew that it was the son he had seen standing by his mother all those years ago"That day changed my life," Jeffrey said. "Before that, everything was about work…When I talk to my beginner-training class, I tell them you never know the effect you can have on someone's life."12. What did Jeffrey do with the young man?A. He cured the man at the scene.B. He took care of the man's wife and son.C. He only sent the man to hospital.D. He did what was needed13. What did Jeffrey think of the encounter with the man at Office Max?A. It was a common routine.B. It was troublesomeC. It was unbelievableD. It was a dangerous situation.14. Why was the man thankful to Jeffrey?A. Jeffrey helped bring up his little sonB. Jeffrey donated to support his family.C. Jeffrey's help gave him the present happy life.D. Jeffrey's kindness taught his son to be a new doctor.15. How did the meeting change Jeffrey's life?A. He was rewarded with much moneyB. He changed his attitude to his job.C. He got a promotion to be a team leader.D. He took up teaching work to train newcomers.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。

2020-2021学年深圳南山外国语学校高三英语下学期期末考试试题及参考答案

2020-2021学年深圳南山外国语学校高三英语下学期期末考试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ASan Francisco Bay Area is a great place if you're a sports fan as you'll find several events all year round and plenty of team pride. If you are anywhere close to the area during a game,these fantastic sports events are here for you.San Francisco Giants BaseballThe San Francisco Giants baseball team plays in SF at Oracle Park. This is a fun ballpark because it's always packed with great energy and offers views of the bay. It's one of the most popular San Francisco sports events. The Giants are part of the National League West Division. Since their arrival here in 1958,they have been World Series Champions three times.Golden State Warriors BasketballThe fan base of the Golden State Warriors distributes the whole San Francisco Bay Area as this region's only NBA team.Their regular season runs from late October through mid-April, and all home games are played at the Chase Center in San Francisco.In total, the Warriors has won six NBA championships.San Francisco 49ers FootballThe 49ers are San Francisco's NFL team, though they have recently moved to Levi's Stadium in Santa Clara, about an hour south of SF. The football team was named for the prospectors (探矿者) who arrived in the area in 1849 for the Gold Rush. They’ve won 5 Super Bowl championships, all between 1981 and 1994.San Jose Sharks HockeyThe San Jose Sharks represent the Bay Area in hockey (冰球).They were founded in 1991 as the only Bay Area team to compete in the NHL. Sharks fans love going to these San Francisco sports events at the SAP Center,which they call the Shark Tank,located about an hour southeast of SF.1.Where can a sports fan have a good view of the area?A.The Oracle Park.B.The Chase Center.C.Levi's Stadium.D.The SAP Center2.Which team has claimed the most titles according to the text?A.The Giants.B.The Golden State Warriors.C.The 49ers.D.The San Jose Sharks.3.Where is the passage probably taken from?A.A book review.B.A news report.C.A science fiction.D.A tourist magazine.BGuangzhououtbreak linked to strains inIndiaThe gene sequencing of the COVID-19 outbreak inGuangzhou.Guangdongprovince, indicates it is very similar in structure to the mutatedstrains detected inIndia, a senior health official from the city said on Sunday.“And it has the characteristic of quick spread.” Chen Bin, deputy director of the city's health commission, said at a news conference inGuangzhouon Sunday.She urged relevant departments and medical staff to act quickly to block the chain of infection and control the spread of the coronavirus in the southern metropolis.Zhang Zhoubin, deputy director of theGuangzhoucenter for disease control and prevention, said the strain of coronavirus spreads easily.“The virus can be spread through a meal or through a short period of indirect contact,” he said.The city reported five confirmed eases and 21 asymptomatic carriers as of 2 pm Sunday after the first con finned case was detected in the city's Liwan district on May 21, Chen said.To prevent the virus from spreading, the city government tightened its disease control and prevention measures over the weekend. Six communities and housing estates previously designated as low-risk areas were raised to medium-risk ones, Chen said.In addition to asking local residents to get vaccinated, the city has organized nucleic acid testing in Haizhu and Yuexiu districts starting from Sunday. Residents in specific areas of Tianhe, Baiyun and Panyu districts have also been required to take nucleic acid tests to expand the screening of suspected patients and asymptomatic carriers.Liwan previously required all its residents to take nucleic acid tests.As of Saturday, more than 2-25 million residents of the city have had samples collected for nucleic acid tests, Chen said. More than 10,000 medical workers from the entire city have been sent to Liwan to help vaccinate locals against COVID-19 and collect samples for nucleic acid testing.Deng Wenjun, director of circulation section with Guangzhou Supply and Marketing Cooperative, said there are sufficient supplies of food and daily necessities in the medium-risk areas.4. What is the characteristic of the COVID-19 which broke out inGuangzhou?A. It disappears quickly.B. It spreads fast.C. It has a lot to do with temperature.D. It has the same nature as the seasonal flu.5. Which district have residents who have not been required to take nucleic acid tests?A. Tianhe.B. Haizhu.C. Panyu.D. Zengcheng.6. Which of the following statements is TRUE?A. The virus can hardly be spread through a short period of indirect contact.B. There are 21 symptomatic carriers in the Liwan district as of 2 pm Sunday.C. All the people living in Liwan district arc previously asked to take nucleic acid tests.D. Supplies of food and daily necessities in the medium-risk areas arc still not enough.7. Where can you probably find this article?A. On a news website.B. In a fashion magazine.C. In a history book.D. In a travel journal.CAs an old saying inChinagoes, “The days of the Sanjiu periodare the coldest days.” “Sanjiu period” , which is in Minor Cold, refers to the third nine-day period (the l9th to the 27th day) after the day of the Winter Solstice(冬至). There are many different customs related to Minor Cold inChina.Eating hotpotDuringMinor Cold people should eat some hot food to benefit the body and defend against the cold weather. Winter is the best time to have hotpot and braised mutton with soy sauce. But it is important to notice that too much spicy food may cause health problems.Eating huangyacaiInTianjin, there is a custom to have huangyacai, a kind of Chinese cabbage, during Minor Cold. There are large amounts of vitamins A and B in huangyacai. As huangyacai is fresh and tender, it is fit for frying, roasting and braising.Eating glutinous rice (糯米饭)According to tradition, the Cantonese eat glutinous rice in the morning during Minor Cold. Cantonese people add some fried preserved pork, sausages and peanuts and mix them into the rice.Eating vegetable riceIn ancient times, people inNanjingtook Minor Cold quite seriously, but as time went by, the celebration ofMinor Cold gradually disappeared. However, the custom of eating vegetable rice is still followed today. The rice is steamed and is unspeakably delicious. Among the ingredients (原料), aijiaohuang (a kind of green vegetable), sausages and salted duck are the specialties in Nanjing.8. What do we know about Minor Cold?A. It refers to the Winter Solstice.B. The Sanjiu period is in this period.C. It lasts twenty-seven days.D. It marks the first day of winter.9. What is a special custom in Tianjin in Minor Cold？A. Eating hotpot.B. Having vitamin A and B pills.C. Having huangyacai.D. Buying cabbage.10. How do the Cantonese eat glutinous rice?A. They fry and toast it.B. They eatit for dinner.C. They mix it with many other things.D. They steam it with soy sauce.11. This text may be taken from the ________ column (栏目) of a newspaper.A. travelB. cultureC. fashionD. scienceDTourism is often about seeking deeper emotional and personal connections with the world around us. Not all travel experiences, however, need to take place in the real world. With the evolution of virtual reality(VR) technology, tourism will increasingly become a combination of physical and virtual worlds. VR may even remove the need to travel entirely.But can a VR experience really equal a real world one? Many experts believe it can. Studies have shown that our brains have an inbuilt VR-like mechanism that enables us to live imagined experiences. Much of our waking life is spent thinking about either the past or the future. This is known as" mind wandering". During these events we' re not paying attention to the current world around us. Instead, we' re recalling memories, or creating and processing imagined futures.When engaged in mind wandering, our brains process these mental images using the same pathways used to receive inputs from the real world. So, the imagined past or future can create emotions and feelings similar to howwe react to everyday life. VR can create these same feelings.While critics might argue that a virtual experience will never match reality, there are several ways VR tourism could make a positive contribution. Firstly it could help protect sensitive locations from over-tourism. In recent years famous sites such as Maya Bay in Thailand, and Cambodia's Angkor Wat Temples have had to limit the number of visitors because of their negative impact. These places are now producing their own VR experiences that will allow tourists to pass through virtual models of the sites.Virtual reality may also allow people back in time, to experience historical events, visit ancient cities, and even to walk among dinosaurs.Finally, in a world where many people suffer from stress and depression due to overwork, virtual tourism may provide a cheap and convenient way for people to take brief holidays to otherwise unreachable destinations and recharge their batteries, without ever leaving their homes.It sounds like science fiction but it's already happening. As virtual technology improves and as people continue to demand new and interesting experiences, expect more virtual tourism, both in combination with the real world and instead of it.12. What is driving the development of virtual tourism?A. Companies seeking to make more money.B. Improvements in virtual reality technology.C. People's demand for more shared experiences.D. People's deeper understanding of the physical world.13. Which of the following best describes "mind wandering"?A. The brain processes which help people think VR is real.B. The way the brain processes inputs from the real world.C. Brain activities focusing on past or future events.D. Experiences coming from a person's imagination.14. What does the underlined word "it" in the last paragraph refer to?A. Science fiction.B. Virtual technology.C. Virtual tourism.D. The real world.15. What is the purpose of the passage?A. To describe the advantages of VR tourism.B. To give suggestions for reducing over-tourism.C. To encourage people to develop VR technology.D. To argue VR tourism will replace the real world travel.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。

广东省深圳市市龙华中英文实验学校2020年高三数学理下学期期末试题含解析

广东省深圳市市龙华中英文实验学校2020年高三数学理下学期期末试题含解析一、选择题：本大题共10小题，每小题5分，共50分。

在每小题给出的四个选项中，只有是一个符合题目要求的1. 某几何体的三视图如图所示，则该几何体的表面积为（）A．6π+1 B．C．D．参考答案：D【考点】由三视图求面积、体积．【分析】由题意，几何体为圆柱与圆锥的组合体，即可求出该几何体的表面积．【解答】解：由题意，几何体为圆柱与圆锥的组合体，该几何体的表面积为2π?1?2+π?12+++1=，故选D．【点评】本题考查三视图，考查学生的计算能力，确定几何体的形状是关键．2. 执行如图所示的程序框图，若输入，则输出的y=（）A. B. C. D.参考答案：D【分析】按程序框图指引的顺序依次执行，写出各步的执行结果即可得到答案.【详解】输入，，不成立，；，成立，跳出循环，输出.故选D.【点睛】本题考查循环结构程序框图的输出结果.当程序执行到判断框时要注意判断循环条件是否成立，是继续下一次循环，还是跳出循环.3. 某几何体的三视图如图所示，则该几何体的体积为（）A．16π﹣B．16π﹣C．8π﹣D．8π﹣参考答案：D【考点】由三视图求面积、体积．【分析】由三视图可知：该几何体为一个半圆柱挖取一个倒立的四棱锥．【解答】解：由三视图可知：该几何体为一个半圆柱挖取一个倒立的四棱锥．∴该几何体的体积V=﹣=8π﹣．故选：D．【点评】本题考查了三棱台的三视图的有关知识、圆柱与四棱锥的体积计算公式，考查了推理能力与计算能力，属于中档题．4. 如图所示的曲线是函数的大致图象，则等于（）A． B．C． D．参考答案：C5. 某几何体的三视图如图（其中侧视图中的圆弧是半圆），则该几何体的表面积为（A）（B）（C）（D）参考答案：A6.抛物线按照向量平移后，其顶点在一次函数的图象上，则的值为A.2B.3C.4D.5参考答案：答案:B7. 下列命题中，真命题是（）A．“x＞2”是”x2﹣x﹣2＞0”必要条件B．“?=0”是“⊥”充要条件C．?x∈R，x2+≥1D．?x∈R，cosx+sinx＞2参考答案：C【考点】命题的真假判断与应用．【分析】A．根据充分条件和必要条件的定义进行判断，B．根据向量垂直的等价条件进行判断，C．根据基本不等式的性质进行判断，D．根据三角函数的辅助角公式，结合三角函数的有界性进行判断．【解答】解：A．由x2﹣x﹣2＞0得x＞2或x＜1，则“x＞2”是”x2﹣x﹣2＞0”充分不必要条件，故A错误，B．若⊥，则?=0成立，当==时，满足?=0，但⊥不成立，故B错误，C．x2+=x2+1+﹣1≥2﹣1=2﹣1=1，当且仅当x2+1=，即x2+1=1，即x=0时取等号，故?x∈R，x2+≥1为真命题．D．cosx+sinx=sin（x+）∈[﹣，]，而2?[﹣，]，故?x∈R，cosx+sinx＞2错误，故D错误，故选：C8. 函数的值域是（）A.［－1，1］B.（－1，1］C.［－1，1）D.（－1，1）参考答案：B略9. 已知双曲线，过其右焦点且垂直于实轴的直线与双曲线交于两点，为坐标原点.若，则双曲线的离心率为()A． B．C． D．参考答案：D略10. 若，，，，则（A）（B）（C）（D）参考答案：C本题主要考查了诱导公式、同角三角函数基本关系式以及三角恒等变换公式等，难度中等。

2020届深圳南山外国语学校高三英语下学期期末考试试卷及参考答案

2020届深圳南山外国语学校高三英语下学期期末考试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.BIt was once considered an important status symbol ---but having a home phone is increasingly seen asa white elephant. New figures show that one in five households no longer bother with a landline（固定电话），and almost a third of those that do never actually use it.The vast majority of people who still have a home phone ——72 percent ——say they only have it because it is part of their broadband package.But that's not the only reason to desert the home phone - 20 percent of those surveyed said that they were fed up with the number of cold calls and would-be scammers（诈骗者）.Digital media expert Dr. Elinor Carmi said there was a generational and social divide in phone use. She explained："If you,re young and have the mobility to go outside, you would rely on a mobile phone. But if you are older, disabled and perhaps poorer, our research shows you're more likely to use a landline. If you are richer, you will have access to more smart devices --- a smart TV, smartphone or laptop. But the poorer you are --- or if you are older, your use of these devices is more limited.”Last year, research from regulator Ofcom found that the amount of time spent on landline calls annually in theUKhad halved over just six years, to 54 billion minutes. The new study also showed that more than a quarter of households have decided to find a broadband provider that does not charge for their unused landline, but only six percent have done so.4. The underlined part “ a white elephant" in Paragraph 1 probably refers to something that isA. costly but effectiveB. useful and beautifulC. expensive but uselessD. cheap and necessary5. What's the main reason why some people still have a home phone?A. Their broadband package contains it.B. Their family can only afford to use it.C. They are used to using a home phone.D. They consider it an important status symbol.6. Which of the following is more likely to use a landline?A. A young adventurer.B. An old poor gardener.C. An outdoor photographer.D. A famous indoor designer.7. What's the best title of the text?A. End of the landline?B. Fed up with cold calls?C. The history of phonesD. Different choices of phonesCThe man who invented the World Wide Web a few decades ago is calling for major changes to make it better for humans. In an open letter published on Tuesday, Berners-Lee said that the web was used by half the world's population.Berners-Lee said the web had clearly created great opportunities for humans to progress and had made life easier for millions of people. Actually, it also has offered opportunities to groups traditionally not heard a new voice in society. However, he added that the web had also provided new ways for cheats to commit crimes (犯罪).“Against the background of news stories about how the web is misused, it's understandable that many people feel afraid and unsure if the web is really a force for good,” he wrote.Berners-Lee created a group called the World Wide Web Foundation. He islooking for help from governments, companies and people to become more involved in shaping the web to do more good for humans. His actual plan is called the “Contract (合同) for the Web”.Under this contract, governments are called on to take steps to makesure all people can connect to the Internet and that personal privacy is respected. Businesses are asked to keep the Internet prices low so more people can use the web. In addition, companies should respect privacy and develop technologies that aim to put people first.The plan also calls on people to create materials for the web and work with others to make sure that is rich, quality information for everyone. Besides, people should seek to “build strong communities that respect personal speech and human equality.” “The path to make the Internet better is the responsibility of everyone who uses it,” Bermers-Lee added, “Making big changes will not be easy, but will be very well worth it in the end.”8. What does Berners-Lee think of the World Wide Web?A. It is his greatest regret.B. It stops the progress of humans.C. It needs improving.D. It does more harm than good.9. What's wrong with the web according to Berners-Lee?A. It is misused for bad purposes.B. It is misunderstood by all people.C. It blocks out a new voice in society.D. It is expensive for half the world’s population.10. What are governments called on to do under the “Contract for the Web”?A. Put technology first.B. Create materials for the web.C. Popularize the Internet.D. Make the Internet free of charge.11. What should people do with the Internet in Berners-Lee's opinion?A. Be responsible for it.B. Absolutely reject it.C. Completely rely on it.D. Be unconcerned about it.DDid you know that horses talk? Well, they do, and you can lean to understand “horse talk” if you pay close attention to the horses you see.When horses live in the wild, other animals try to eat them, so a lot of horse talk is about staying alive. Even now, when most horses live on farms, they watch for danger. For this reason, never walk behind a horse. If you surprise it, the horse might mistake you for a mountain lion or wolf and give a dangerous kick.By watching the ears of a horse, you can get clues to what it's hearing. A horse can tum each ear in a different direction. For a wild horse, this trick is important for survival. The horse can hear something sneaking up behind it while also checking out a threatening noise in front. When a horse lets its ears down, it's feeling safe and relaxed. If horses becomeisolated, they neigh, or “whinny,” calling for company. They're saying, “Where are you? I'm over here!” If a horse snorts(哼) while holding its head high and staring at something, it's saying, “That looks dangerous. Get ready to run!” When two horses meet, they put their noses together and smell each other's breath. It's their way of asking, “Are you a friend?” Horses nicker,too. Nickering is a quiet sort of sound. This friendly noise means they're feeling secure and saying, “Clad to see you.”In the wild, horses live in herds, with all members watching for danger. In a herd, only one horse is the leader, the “boss hoss”. The “boss hoss” is usually an older female. She watches for threats and teaches younger horses how to behave. However, others may want her job. When that happens, she pins her ears back against her head and may even bite or kick to get challengers to back off. She's using body language to say, “Hey, I'm in charge here!”All horses know that the one who makes others move is the leader. Horses relate to people that way, too.Horses have a language of their own. Now you know a bit of what they might be saying.12. What is the general idea of this passage?A. Horses can talk with their owners.B. You can know a bit of horses' language.C. Horses can “talk” in their own way.D. Other animals can also learn language.13. What does the underlined word “isolated” in Paragraph 3 mean?A. Lonely.B. Glad.C. Sad.D. Frightened.14. What will a horse do when he wants to know whether another horse is a friend?A. He will let his ears down.B. He and another horse will put their noses together and smell each other's breath.C They both will hold their heads high and stare at something.D. He will give another horse a dangerous kick.15. How will the “boss hoss” deal with her challengers?A. By warning or fighting.B. By watching for threats.C. By teaching younger horses how to behave.D. By relating to people.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。

2020-2021学年深圳南山中英文学校中学部高三英语期末试卷及答案解析

2020-2021学年深圳南山中英文学校中学部高三英语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ALocated besideLake Geneva, the Olympic Museum houses more than 10,000 artificial objects and hours of interactive contents highlighting some of the best moments during the Olympics. Here are some of the museum’s most moving moments.The Olympic ParkThe journey through the Olympic Museum begins in the Olympic Park, an 8,000-square-meter outdoor area in front of the museum overlooking Lake Geneva and theAlps. The park contains artwork and sculptures that show respect to the world of sport.The first Olympic symbolThe “Olympic Rings” flag was designed by Coubertin in 1913. The rings represent the five continents that participate in the Olympics: Africa, Asia,America,AustraliaandEurope. The six color1 s include at least one color1 that is represented on the flag of every country.The stadiumsThe stadiums that host the Olympic Games are as much of a celebration of design as the games are a celebration of sportsmanship. Guests can explore plans and models of Olympic stadiums’ past and present, including one of the games’ most attractive stadiums, the Bird’s Nest from Beijing 2008 Olympics.The Olympic medalsHave you ever wondered what an Olympic medal looks like? The Olympic Museum has a room that houses every bronze, silver, and gold medal from every Olympic Games dating back to the first modern Olympics of 1896. Each medal design is a unique representation of the year and location in which the games were held.1.Which moment do you see first when exploring the Olympic Museum?A.The Olympic Park.B.The first Olympic symbol.C.The stadiums.D.The Olympic medals.2.What do you know from The first Olympic symbol?A.The first modern Olympics took place inGreece.B.There are six color1 s on the flag of every country.C.Australia used to be the largest continent on earth.D.The “Olympic Rings” flag was created in 1913.3.What can you do in the section of The stadiums?A.Admire the view ofLake Geneva.B.Meet some famous designers.C.Enjoy the model of the Bird’s Nest.D.Talk with guests of honour.B“They’re harming your brain.” “They’re ruining your eyes.” “They’re turning you into a violent person.” The words said publicly against video games are so common, but are these worries founded on actual science? Countless studies have offered different opinions on whether video games are bad for you. We’ve rounded up the most notable reports and studies below, so you can weigh up the evidence for yourself.In 2013,psychologist(心理学家) Simone Kuhn studied the influences of spending long hours on video games on the brains of young adults and found that several areas became bigger than before. These areas are connected with highercognitive functions(认知功能), memory formation andfinemotor(精细运动) function.Last year, psychologists said that video game players who favour violent games are more likely to be violent when offline. Dr. Mark Appelbaum of the American Psychological Association said that there was a relation between violent video game use and increases in violent behaviour.Dr. Daphne Bavelier is an expert in the field of Brain & Cognitive Sciences. Bavelier presented the audience with a colour-word test, where non-gamers are easily puzzled by the test, and those who spend long periods playing on their computers are more likely to pass the test with flying colours.“Actually, those video game players have many other advantages in terms of attention,” said Bavelier, “and one part of attention which is also improved for the better is our ability to follow the movements of objects.”“So, in a sense, when we think about the influence of video games on the brain, it’s very similar to the influence of wine on the health. There are some very poor uses of wine. There are some very poor uses of video games. But when drunk in reasonable amounts, and at the right age, wine can be very good for health,” said Bavelier.4. What can be learned from Simone Kuhn’s study？A. Video games make you happier.B. Video games make your brain grow.C. Video games play a key role in memory.D. Video games teach you how to learn fast.5. What was Dr. Mark Appelbaum’s attitude towards video games？A. He was against them.B. He was hopeful of them.C.He was in favour of them.D. He was uncertain about them.6. Which of the following may Dr. Daphne Bavelier agree with？A. Video games fix attention problems.B. Video games make kids do well in exams.C. Video games encourage violent behaviour.D. Video games help increase colour knowledge.7. Why are the uses of wine mentioned in the last paragraph？A. To remind people to avoid video games.B. To show the disadvantages of video games.C. To help people learn more about video games.D.To ask people to make good use of video games.CIt might have been Jimmy Kimmel, or any other sharp-tongued talk show hosts of late-night TV. In this instance, it was Samantha Bee, stating her opposition to childhood vaccinations humorously. “Who are you going to believe?” she asked. “Leading authorities on medical science, or 800 comments on your cousin’s Facebook page?”Joking about science can have serious effects, according to studies by communication scholars. Accordingly, since 2013, Paul, a psychological professor, has conducted studies of how satire (讥讽) can influence people’s beliefs about science, which have shown that if you want to interest people in science and shape their views on hot-button science issues, satirical humor can work better.Many Americans pay little attention to science. Even people who regularly watch TV news receive only scraps of science information in their media diet, because mainstream media outlets devote so little airtime to the subject. On top of that, some Americans may regard science as inaccessible.Yet satirical humor can reach viewers who would never watch NOVA or read — well, National Geographic. Millions of people watch late-night television programs live, and videos of these shows get millions of views on streaming services. In 2016, a vote conducted by the University of Delaware Center indicated that nearly one in 10 said they learned about science from late-night television shows.Late-night hosts may occasionally poke fun at scientists. More often, however, the hosts promote a positive image of science. By making science entertaining to audience with little knowledge of the topic, late-night television could spark science engagement. Furthermore, the researchers concluded that satirical shows had the biggest impact among the least educated viewers, thus helping to narrow a gap in attention to science. Though late-night satirical humor can boost science interest and awareness, it has its limits. Science is complex, and conveying that complexity in a few minutes while telling jokes can be a challenge.8. What does Paul’s studies of joking about science indicate?A. It may do serious damage to science.B. It can effectively popularize science.C. It totally changes people’s attitude to science.D. It will shift people’s attention from entertainment to science.9. Why do TV watchers receive a little science information?A. Because they enjoy watching entertainments.B. Because science is not easy to come up with.C. Because they find no interest in science issues.D. Because science is scarcely seen on mainstream media.10. What do we know about the late-night shows involving science?A. The hosts get used to playing tricks on scientists.B. The hosts’ aim is to build a positive image of science.C. Education gap can be bridged through late-night shows.D. Science participation can be promoted among their viewers.11. What’s the author’s attitude towards combining science with satire?A. Critical.B. Objective.C. Positive.D. Negative.DSome of my earliest memories involve sitting with my dad in his study every evening when he came home from the office. I’d watch as he put his personal items away: his watch, wallet, comb and car keys would always occupy the same spot on the table every time.Dad’s comb was bought when he married Mum. Every evening, he would smile, hand me the comb and say: “Be a good girl and help Daddy clean it, OK?” I was more than happy to do it. This seems amundanetask, but itbrought me such joy at that time. I would excitedly turn the tap on, then brush the comb with a used toothbrush as hard as I could. Satisfied that I’d done a good job, I would proudly return the comb to Dad. He would smile at me, and place the comb on top of his wallet.About two years later, Dad started his own business. I started primary school. That was when things started to change. Dad’s business wasn’t doing so well, and he didn’t come home as much as he used to. Over the years, I stopped waiting for him to come home.Today, I’ve graduated from college and Dad’s business are better now. Yet the uncomfortable silence between Dad and me continued. Two days before my birthday last year, Dad came home early and said to me, “Hey, would you like to help me clean my comb?” I looked at him a while, then took the comb and headed to the sink. It’s a new comb. I hadn’t noticed that he’d changed it. I brushed the comb, and it hit me then: why, as a child, helping my dad clean his comb was such a joy.I passed the clean comb back to Dad. This time, I noticed my day has aged. But his smile is still as heartwarming as before. Dad carefully places his comb on top of his wallet. After so many years, I guess some things never change. And for that, I’m glad.12. As a child, the author helped her dad clean his comb happily because ________.A. she was good at cleaning the combB. she thought that she should do that as a good girlC. her dad was home early to spend the evening with herD. the comb was important for her father and her mother13. Which of the following words can best replace the underlined wordmundanein paragraph two?A. importantB. excitingC. unnecessaryD. uninteresting14. When the author said, “It’s a new comb. I hadn’t noticed that he’d changed it.”, she felt ________.A. disappointedB. impatientC. tiredD. sorry15. What’s the best title of the passage?A. Evenings With Dad.B. How to Clean the Comb.C. My Memory with My Dad.D. I Love My Family Members.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。

2020-2021学年深圳南山外国语学校高三英语下学期期末试卷及参考答案

2020-2021学年深圳南山外国语学校高三英语下学期期末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ASome colleges have started offering their own gap year programs to support students who want to take a year off in a meaningful way. Below, we’ll look at four of these programs.American University Gap ProgramWhen to apply: By July 15 or November 15Is there funding available? No.In American University Gap Program, students spend three days per week with a government or business organization in the city. Students go on field trips, listen to guest speakers, take part in hands-on lessons and work on service projects as a group. Students who complete the program can earn seven credits.Duke University Gap Year ProgramWhen to apply: By early May of each yearIs there funding available? Yes, $5,000 to $15,000.Though Duke University has no course of study or experience for its gap year program, it encourages students to have an independent plan for their year off, particularly one that promotes personal growth. Independent experiences may include community service, personalized experiential learning opportunities and others.Florida State University Gap YearWhen to apply: By February 24Is there funding available? Yes, up to $5,000.Florida State University offers gap year funding to students wishing to work or volunteer before starting college. In order to get the momey, students must explain their plans for their gap year. The experience must last over one year.St Norbert College Bridge Year ExperienceWhen to apply: not specifiedIs there funding available? Not specified.Students taking part in the Bridge Year Experience can travel to locations such as New Mexico, Wisconsin andGuatemala during the fall term, where they learn about the local cultures, take courses and get service opportunities.1.What does Duke University advise students to do during their gap year?A.Focus on their personal growth.B.Be independent of their parents.C.Apply before the end of November.D.Contact some off-campus organization.2.How can students get gap year funding from Florida State University?A.By having extra credits.B.By organizing several projects.C.By showing their gap plans.D.By doing volunteer work.3.If you are interested in travelling, you can choose ________.A.Florida State University Gap YearB.American University Gap ProgramC.Duke University Gap Year ProgramD.St. Norbert College Bridge Year ExperienceBANew Zealandcouncil has announced a month-long road closure in order to allow a sea lion and her pup to reach the ocean safely.John Wilson Ocean Drive in Dunedin will be closed after the New Zealand sea lions made their home at a nearby golf course and started "regularly crossing the road to get to the beach," according to a Facebook post from Dunedin City Council."You can still visit the area on foot or by bicycle, but please give the sea lions lots of space," continued the post.Locals applauded the decision, and one even called for the closure to be made permanent."No dogs should be on the beach, either," wrote Gaylene Smith. "We need to protect our beautiful sea life."Dogs are known to attack sea lions, and Chisholm Links Golf Course, where the sea lions have made their home, also posted advice to dog walkers in a Facebook update."We're lucky to have sea lions on our coastline and we need to share the space with them,as this is what makes our coastline so unique!" wrote the course on Facebook.The council went on to explain thatNew Zealandsea lions are endangered, and are one of the world's rarest species of sea lion.There are an estimated 12,000New Zealandsea lions left, according to the Department of Conservation.Under local law, anyone who kills a sea lion could face up to two years in prison or a fine of up to NZ$250,000(US$178,000).4. What decision has the Dunedin City Council made?A. Closing an ocean drive for a month.B. Forbidding entry into a golf course.C. Forbidding walking dogs outside.D. Closing the nearby beach temporarily.5. How did the City Council announce the decision?A. By informing on TV.B. By sending out notices.C. By posting on Facebook.D. By advertising in a newspaper.6. What is the attitude of the local people toward the closure?A. Doubtful.B. Supportive.C. Uncaring.D. Critical.7. What can we learn aboutNew Zealandsea lions from the text?A. They are afraid of humans.B. They are a common species.C. They are being killed by dogs.D. They are under legal protection.CFirst grader Gavin Clampett was diagnosed(诊断) with Tourette’s Syndrome at the age of five. Due to the neurological(神经的) disorder, he always experiences a variety of sudden uncontrolled movements and sounds.The uncontrollable actions mean that he often gets dirty looks from strangers in public and kids make cruel comments on the school bus and in class. In an effort to prevent the unkind comments, Gavin’s mother, 32yearold Rebecca Clampett helped him make a video with his sister Brynn, nine, and played it to pupils at his school to help them understand the condition.In the video, which Rebecca also shared on YouTube, Gavin’s sister Brynn starts by answering the question “What is Tourette’s Syndrome?” She explains, “It is a neurological disorder, which means it affects the brain so that a person makes unwanted movements. These are called tics(抽搐), but not like a tic that is found outside. These tics can be very noticeable or not very noticeable, quiet or loud.”School can be hard for all kids. That canbe even harder for children like Gavin because they have to face people who laugh at them every single day. “I feel like my brother and every other kid who has Tourette’s Syndrome are brave. So be kind to them and don’t treat them differently because they are just like you”, Brynn says in the video.Gavin concludes, “Everyone could play with someone. Some people think I can’t because I’m different but actually I can. Some are afraid that I will say dirty words, but actually I won’t. The disease bothers me a little, butI’m OK.”8. What can we know about Tourette’s Syndrome?A. It can be treated with drugs.B. It is usually found at an early age.C. People with it will say dirty words.D. People with it can make uncontrolled sounds.9. Because of the disease, others often _________.A. take pity on GavinB. give a hand to GavinC. keep away from GavinD. look down upon Gavin10. In the video, Gavin’s sister __________.A. explains her brother’s diseaseB. expresses her love for her brotherC. complains about unkind commentsD. encourages others to donate money11. What can be used to best describe Gavin?A. Lucky.B. Helpless.C. Optimistic.D. Stubborn.D“One person’s trash is another person’s treasure.” That’s a common expression, but the next time you throw something away, think about a twist on the old saying. What if your trash could become your own treasure? Many creative, thrifty, and environmentally minded people have come up with a way to makethathappen. It’s called upcycling. Our world would be a better place if everyone would begin upcycling.Upcycling is the practice of taking an unwanted item and turning it into something useful. For example, how about that pair of jeans with a hole in one knee? It could become a new pillow for your bedroom.Upcycling is not the same as recycling. Upcycling is actually much better for the environment. Recycling takes an item made of glass, paper, metal, or plastic, breaks it down to its base material, and then uses that material to make another product. This requires a great deal of energy. On the other hand, when you choose to upcycle, the only energy you use is your own. And upcycling not only reduces the amount of trash that goes into our landfills, but it also protects natural resources, such as oil and gas. Recycling is good for the environment, but upcycling is even better.Upcycling also makes a family’s budget stretch further. Of course, the idea of reusing items to save money is not new. During the Great Depression in the 1930s, many families lived on a tight budget. People had to use what they already had in order to meet their needs.As responsible citizens, we should all be concerned with protecting our environment and budgeting our resources. Upcycling is a fun and creative way to help. The next time you go to toss something into the trash can, stop and think about what it could become. Chances are, there’s a brand-new item in your hand just waiting to be upcycled.12. Why does the author mention an old saying in the first paragraph?A. To arise reader’s awareness of upcycling.B. To stress the importance of upcycling.C. To lead in the topic of upcycling.D. To show the idea of upcycling.13. Which one below belongs to upcycling?A. An old ladder is transformed into a bookshelf.B. Old tin cans are transported to landfill.C. A broken wooden door is chopped up.D. Old cloth is made into a paper bed.14. What is the difference between recycling and upcycling?A. Upcycling is much more creative.B. Recycling is much easier to achieve.C. Recycling is much more cost-saving.D. Upcycling is much more energy-efficient.15. What can be inferred from the text?A. Upcycling is popular at present.B. Upcycling is replacing recycling.C. Upcycling is worth recommending.D. Upcycling is a tradition in daily life.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。

2020年深圳南山外国语学校高三英语下学期期末考试试题及答案解析

2020年深圳南山外国语学校高三英语下学期期末考试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AFour Online EventsThe handshake：an anthropologist’s guideWhat is its biological purpose？What are the best and worst handshakes？In this talk，scientist Ella Al-Shamahi examines the power of touch and argues the handshake is at least 7 million years old．This event will start at 18:00 pm on 25 March and will last one hour．Standard ticket price：£15(A 20％discount for those who buy the ticket before March 20.)A rescue plan for natureWhat do we need to do to restore the planet 's biodiversity and preventthe next pandemic (疫情)？Join scientist Cristian Samper as he talks about how our ignoring nature caused the pandemic-and how we can seize a unique opportunity to build back better．This free event will start at 18:00 pm on 15 April．Origins of lifeWhy is the planet the way it is？How did we get here？Does everything happen for a reason or are some things left to chance？Research shows we live in a world driven by chance．In this talk，biologist Sean B Carroll will tell the stories of the mother of all accidents，and the surprising power of chance in our lives and the world．This event will start at 19:30 pm on 22 April and will last two hours．Standard ticket price：£18(A 10％discount for those who buy the ticket before April 17.)The truth about exerciseShould we all be hitting the gym three times a week？Should we worry about sitting to omuch？If you are strong and fit，can you get away with being inactive？In this talk，specialist Jason Gill introduces what science can really tell us about how much we need to move to live a healthy life．This event will start at 19:00 pm on May 13 and will last one hour，Standard ticket price：£12(A 15％discount for those who buy the ticket before May 8.)1.How much should you at least spend on the event about the handshake？A.£10.2．B.£12．C.£13．D.£16.2．2.From whom can you learn about the origins of life？A.Ella Al-Shamahi．B.Cristian Samper．C.Sean B Carroll．D.Jason Gill．3.What does the four online talks have in common？A.They are science-based．B.They are about cultures．C.They are related to nature．D.They are intended for the young．BDragon boating is a team sport that has its root in ancient China. The boats are decorated with a dragon head and tail. In recent years cancer survivor groups have got involved in the sport to help make friends and help rebuild their lives.On a recent Saturday morning, a group of 20 women were on a boat in the Anacostia River in Washington DC. They moved their paddles(船桨)in rhythm to the call of a coach. The women belong to the dragon boat team GoPink! DC, which trains weekly. It also races against other breast cancer survivor teams in dragon boat festivals. As a result, GoPink! DC won medals in this Washington dragon boat festival.Lydia Collins joined five years ago after finding out she had breast cancer. “I was diagnosed with breast cancer.I was demoralized because of my illness - I lost all interest in life and wouldn't even get out of bed to eat. But now I love the team spirit. I just love everything about it. It is like a floating support group on the water.”The paddles are breast cancer survivors and their supporters. Annette Rothemel helped establish(建立)the group in 2006. She is a researcher with the National Institutes of Health as well as a breast cancer survivor. “It is sort of an easy entry sport because on the same boat people at different levels can be doing the same sport.” But Ms Rothemel saysdragon boating can be physically demanding, especially for someone who is sick and getting treatment for cancer.“It’s hard but I think you have to challenge yourself in life. This is something I look forward to. I get to be out here with my sisters and supporters that understand what I’m going through and help motivate me. So it makes me stronger and it makes me feel better,” another cancer survivor Rhonda Hartzel said.Annette Rothemel says the cancer survivors feel a sense of sisterhood and share good times when they paddle together. She says both feelings are treasured by the team.4. What do the underline wordsdemoralizedIn para.3 probably mean?A. depressedB. anxiousC. astonishedD. awkward5. What can we know about Lydia Collims from the text?A. she helps establish Go Pink !DCB. she tries to find a cure for the cancerC. she benefits from the dragon boat raceD. she gives up hope because of her illness6. How can the dragon boat race help the cancer survivorsA. forget their tough experiencesB. recover physically and mentallyC. get rid of the pains of their cancerD. enjoy their rest life without sufferings7. What does the text tell us about Annette Rothemel?A. she is an expert in studying the cause of the cancerB. she helps the cancer survivors in financial difficultiesC. she believes there is a healthful result from the dragon boat raceD. she thinks it unwise for the patient to join in the dragon boat raceCMark Bertram lost the tips of two fingers at work in 2018 when his hand became trapped in a fan belt. “It’s life-changing but it’s not life-ending,”he says.After two surgeries and occupational therapy, Bertram decided to ask Eric Catalano, a tattoo artist, to create fingernail tattoos. The idea made everyone in the studio laugh—until they saw the final result. “The mood changed,” Catalano recalls from his Eternal Ink Tattoo Studio in Hecker, Illinois. “Everything turned from funny to wow.”Catalano posted a photo of the tattoos, and it eventually was viewed by millions of people around the world. The viral photo pushed Catalano, 40, further into the world of paramedical tattooing. Now people who want to cover their life-altering scars come from as far away as Ireland to visit his shop.Leslie Pollan, a dog breeder, was bitten on the face by a puppy. She underwent countless surgeries but those gave her no hope. She ultimately traveled six hours for a session with Catalano. HecamouflagedPollan’s lip scar, giving her back confidence.Though he is now known for his talent with intricate fingernail, Catalano uses the techniques he picked up years ago while helping breast cancer survivors. Those tattoos are among the most common paramedical requests. His grandmother had breast cancer, and her battle with the disease is one reason Catalano is so dedicated to helping those with the diagnosis.Catalano performs up to eight reconstructive tattoos each “Wellness Wednesday”. While he charges $100 perregular tattoo, he doesn’t charge for paramedical tattoos: A GoFundMe page established last year brought in more than $16,000, allowing Catalano to donate his work.“Financially, it doesn’t make sense,” Catalano says. “But every time I see emotions from my customers, I am 100 percent sure this is something that I can’t stop doing.”8. How did people in the studio react to Bertram’s idea at first?A. They took it lightly.B. They found it creative.C. They were confused.D. They were impressed.9. What does the underlined word “camouflaged” in Paragraph 4 probably mean?A. Exposed.B. Hid.C. Ignored.D. Removed.10. What does Catalano say about his work with paramedical tattoos?A. It is flexible.B. It is demanding.C. It is profitable.D. It is rewarding.11. Which of the following can best describe Catalano?A. Humorous and experienced.B. Devoted and generous.C. Cooperative and grateful.D. Professional and tolerant.DThe first patient who died on my watch was an older man with a faulty heart. We tried to slow it down with treatment, but it suddenly stopped beating completely. Later, whenever I would have a case like that one, I found myself second-guessing my clinical management. However, it turns out that thinking twice may actually cause more harm than good.In a working paper, Emory University researchers found that when doctors delivering a baby have a bad result, they are more likely to switch to a different delivery method with the next patient, often unnecessarily and sometimes with worse results.Because doctors make so many decisions that have serious consequences, thefalloutfrom second-guessing appears especially large for us. A 2006 study found that if a patient had a bleed after being prescribed (开药) warfarin, the physician was about 20% less likely to prescribe later patients the blood thinner that prevents strokes (中风). However, if a patient was not on warfarin and had a stroke physicians were still no more likely to prescribe warfarin to their other patients.These findings highlight interesting behavioral patterns in doctors. In the blood-thinner study, doctors were more affected by the act of doing harm (prescribing a blood thinner that ended up hurting doctors were moreaffected by the act of doing harm(prescribing a blood thinner that ended up hurting a patient) and less affected by letting harm happen (not prescribing a blood thinner and the patient having a stroke). Yet a stroke is often more permanent and damaging than a bleed.But this phenomenon is not unique to medicine. ''Overreaction to Fearsome Risks'' holds true for broader society.For instance, sensational headlines about shark attacks on humans in Florida in 2001 caused a panic and led the state to prohibit shark-feeding expeditions. Yet shark attacks had actually fallen that year and, according to the study, such a change was probably unnecessary given the extremely small risk of such an attack happening.Humans are likely to be influenced by emotional and often irrational (不理性的) thinking when processing information, bad events and mistakes. As much as we don't want to cause an unfortunate event to happen again, we need to be aware that a worst situation that can be imagined doesn't necessarily mean we did anything wrong. When we overthink, we fail to rely on thinking based on what we know or have experienced. Instead, we may involuntarily overanalyze and come to the wrong conclusion.I have treated dozens of patients who presented with the same illnesses as my first patient, who died more than a year ago. Instead of second-guessing myself, I trusted my clinical instinct (本能) and stayed the course. Every one of those patients survived. You should trust your instinct in your life, too.12. The first two paragraphs suggest that________.A. bad medical outcomes affect doctorsB delivering babies can be difficult workC. some doctors are not very experiencedD. doctors sometimes make silly mistakes13. In the blood-thinner study, doctors________.A. tend to prescribe less effective medicineB. are more concerned about the patients' safetyC. become less confident in writing a prescriptionD. believe a stroke is more treatable than a bleeding14. What does the underlined word ''fallout'' in Paragraph 3 probably mean?A. ResultB. BenefitC. DifferenceD. Absence15. The author will probably agree that________.A. we should not doubt our own decisionsB. our experience will pave way for our futureC. humans are emotional and irrational on the wholeD. instincts don't necessarily lead to wrong directions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。

2020-2021深圳南山文武学校高三数学下期末模拟试卷(附答案)

2020-2021深圳南山文武学校高三数学下期末模拟试卷(附答案)一、选择题1．已知向量a v ，b v 满足2a =v，||1b =v ，且2b a +=v v ，则向量a v 与b v 的夹角的余弦值为（） A ．22B ．23C ．2 D ．242．某同学有同样的画册2本，同样的集邮册3本，从中取出4本赠送给4为朋友，每位朋友1本，则不同的赠送方法共有 A ．4种 B ．10种 C ．18种 D ．20种 3．数列2,5,11,20，x ，47...中的x 等于（）A ．28B ．32C ．33D ．274．在“近似替代”中，函数()f x 在区间1[,]i i x x +上的近似值（） A ．只能是左端点的函数值()i f x B ．只能是右端点的函数值1()i f x +C ．可以是该区间内的任一函数值()(i i fξξ∈1[,]i i x x +）D ．以上答案均正确5．甲、乙、丙，丁四位同学一起去问老师询问成语竞赛的成绩。

老师说：你们四人中有两位优秀，两位良好，我现在给甲看乙、丙的成绩，给乙看丙的成绩，给丁看甲的成绩．看后甲对大家说：我还是不知道我的成绩，根据以上信息，则（） A ．乙、丁可以知道自己的成绩 B ．乙可以知道四人的成绩 C ．乙、丁可以知道对方的成绩D ．丁可以知道四人的成绩6．在ABC V 中，若 13,3,120AB BC C ==∠=o ，则AC =（） A ．1B ．2C ．3D ．47．水平放置的ABC V 的斜二测直观图如图所示,已知4B C ''=,3AC ''=,//'''B C y 轴,则ABC V 中AB 边上的中线的长度为( )A ．732B 73C ．5D ．528．如图是一个正方体的平面展开图，则在正方体中直线AB 与CD 的位置关系为( )A ．相交B ．平行C ．异面而且垂直D ．异面但不垂直9．若双曲线22221x y a b-=3，则其渐近线方程为（）A ．y=±2xB ．y=2xC ．12y x =±D ．22y x =±10．已知非零向量AB u u u v 与AC u u uv 满足0AB AC BC AB AC ⎛⎫⎪+⋅= ⎪⎝⎭u u u v u u u v u u uv u u u v u u u v 且12AB AC AB AC ⋅=u u u v u u u v u u u v u u u v ，则ABC V 的形状是（） A ．三边均不相等的三角形 B ．等腰直角三角形 C ．等边三角形D ．以上均有可能11．抛掷一枚骰子，记事件A 为“落地时向上的点数是奇数”，事件B 为“落地时向上的点数是偶数”，事件C 为“落地时向上的点数是3的倍数”，事件D 为“落地时向上的点数是6或4”，则下列每对事件是互斥事件但不是对立事件的是（） A ．A 与BB ．B 与CC ．A 与DD ．C 与D12．已知,m n 是两条不同的直线，α，β是两个不同的平面，给出下列命题： ①若m αP ，m n ⊥，则n α⊥； ②若m α⊥，n αP ，则m n ⊥；③若,m n 是异面直线，m α⊂，m βP ，n β⊂，n αP ，则αβ∥； ④若,m n 不平行，则m 与n 不可能垂直于同一平面. 其中为真命题的是（） A ．②③④B ．①②③C ．①③④D ．①②④二、填空题13．事件,,A B C 为独立事件，若()()()111,,688P A B P B C P A B C ⋅=⋅=⋅⋅=，则()P B =_____．14．已知函数21,1()()1a x x f x x a x ⎧-+≤=⎨->⎩，函数()2()g x f x =-，若函数()()y f x g x =-恰有4个不同的零点，则实数a 的取值范围为______．15．如图所示，平面BCC 1B 1⊥平面ABC ，∠ABC ＝120︒，四边形BCC 1B 1为正方形，且AB ＝BC＝2，则异面直线BC 1与AC 所成角的余弦值为_____．16．已知sin cos 1αβ+=，cos sin 0αβ+=，则()sin αβ+__________． 17．在平行四边形ABCD 中，3A π∠=，边AB ，AD 的长分别为2和1，若M ，N 分别是边BC ，CD 上的点,且满足CN CDBM BC =u u u u v u u u v u u u v u u u v ，则AM AN ⋅u u u u v u u u v 的取值范围是_________． 18．学校里有一棵树，甲同学在A 地测得树尖D 的仰角为45︒，乙同学在B 地测得树尖D 的仰角为30°，量得10AB AC m ==，树根部为C （,,A B C 在同一水平面上），则ACB =∠______________.19．34331654+log log 8145-⎛⎫+= ⎪⎝⎭________. 20．函数()lg 12sin y x =-的定义域是________．三、解答题21．已知直线352:{132x tl y t=+=+（t 为参数），以坐标原点为极点，x 轴的正半轴为极轴建立极坐标系，曲线C 的极坐标方程为2cos ρθ=.（1）将曲线C 的极坐标方程化为直角坐标方程；（2）设点的直角坐标为(5,3)，直线l 与曲线C 的交点为A ，B ，求MA MB ⋅的值.22．我国是世界上严重缺水的国家，某市为了制定合理的节水方案，对居民用水情况进行调查，通过抽样，获得某年100为居民每人的月均用水量（单位：吨），将数据按照分成9组，制成了如图所示的频率分布直方图.（1）求直方图的的值；（2）设该市有30万居民，估计全市居民中月均用水量不低于3吨的人数，说明理由；（3）估计居民月用水量的中位数.23．如图，在直四棱柱1111ABCD A B C D -中，底面ABCD 是矩形，1A D 与1AD 交于点E .124AA AB AD ===.（1）证明：AE ⊥平面ECD ；（2）求直线1A C 与平面EAC 所成角的正弦值.24．在平面直角坐标系xOy 中,已知直线l 的参数方程为12312x t y t ⎧=⎪⎪⎨⎪=-⎪⎩（t 为参数）.在以坐标原点O 为极点,x 轴的正半轴为极轴,且与直角坐标系长度单位相同的极坐标系中,曲线C 的极坐标方程是2sin 4πρθ⎛⎫=+⎪⎝⎭. （1）求直线l 的普通方程与曲线C 的直角坐标方程；（2）设点()0,1P -.若直l 与曲线C 相交于两点,A B ,求PA PB +的值. 25．△ABC 在内角A 、B 、C 的对边分别为a ，b ，c ，已知a=bcosC+csinB ．（Ⅰ）求B ；（Ⅱ）若b=2，求△ABC 面积的最大值.26．如图，在边长为4的正方形ABCD 中，点E,F 分别是AB,BC 的中点，点M 在AD 上，且14AM AD =，将AED,DCF V V 分别沿DE,DF 折叠，使A,C 点重合于点P ，如图所示2.()1试判断PB 与平面MEF 的位置关系，并给出证明； ()2求二面角M EF D --的余弦值.【参考答案】***试卷处理标记，请不要删除一、选择题 1．D 解析：D 【解析】【分析】根据平方运算可求得12a b ⋅=r r ，利用cos ,a b a b a b ⋅<>=r r r r r r 求得结果. 【详解】由题意可知：2222324b a b a b a a b +=+⋅+=+⋅=r r r r r r r r ，解得：12a b ⋅=r r2cos ,22a b a b a b ⋅∴<>===r r r rr r 本题正确选项：D 【点睛】本题考查向量夹角的求解问题，关键是能够通过平方运算求得向量的数量积.2．B解析：B 【解析】【分析】【详解】分两种情况：①选2本画册，2本集邮册送给4位朋友，有C 42＝6种方法；②选1本画册，3本集邮册送给4位朋友，有C 41＝4种方法．所以不同的赠送方法共有6＋4＝10(种)．解析：B 【解析】【分析】通过观察，得出该数列从第二项起，后一项与前一项的差分别是3的倍数，由此可求得x 的值. 【详解】因为数列的前几项为2,5,11,20,,47x ，其中5213,11523,201133-=⨯-=⨯-=⨯，可得2043x -=⨯，解得32x =，故选B. 【点睛】本题主要考查了数列的概念及其应用，其中解答中根据题意发现数列中数字的排布规律是解答的关键，着重考查了分析问题和解答问题的能力，属于基础题.4．C解析：C 【解析】【分析】【详解】根据近似替代的定义，近似值可以是该区间内的任一函数值()(i i f ξξ∈ []1,i i x x +），故选C ．5．A解析：A 【解析】【分析】根据甲的所说的话，可知乙、丙的成绩中一位优秀、一位良好，再结合简单的合情推理逐一分析可得出结果. 【详解】因为甲、乙、丙、丁四位同学中有两位优秀、两位良好，又甲看了乙、丙的成绩且还不知道自己的成立，即可推出乙、丙的成绩中一位优秀、一位良好，又乙看了丙的成绩，则乙由丙的成绩可以推出自己的成绩，又甲、丁的成绩中一位优秀、一位良好，则丁由甲的成绩可以推出自己的成绩. 因此，乙、丁知道自己的成绩，故选：A. 【点睛】本题考查简单的合情推理，解题时要根据已知的情况逐一分析，必要时可采用分类讨论的思想进行推理，考查逻辑推理能力，属于中等题.6．A解析：A余弦定理2222?cos AB BC AC BC AC C =+-将各值代入得2340AC AC +-=解得1AC =或4AC =-(舍去)选A.7．A解析：A 【解析】【分析】根据斜二测画法的规则还原图形的边角关系再求解即可. 【详解】由斜二测画法规则知AC BC ⊥,即ABC V 直角三角形,其中3AC =,8BC =,所以AB =所以AB. 故选：A . 【点睛】本题主要考查了斜二测画法前后的图形关系,属于基础题型.8．D解析：D 【解析】解：利用展开图可知，线段AB 与CD 是正方体中的相邻两个面的面对角线，仅仅异面，所成的角为600，因此选D9．B解析：B 【解析】=b y x a =±，计算得b a =方程为y =.【考点定位】本小题考查了离心率和渐近线等双曲线的性质.10．C解析：C 【解析】【分析】AB AB u u u v u u u v 和AC AC u u u vu u uv 分别表示向量AB u u u v 和向量AC u u u v 方向上的单位向量，0AB AC BC AB AC ⎛⎫⎪+⋅=⎪⎝⎭u u u v u u u v u u uv u u u v u u u v 表示A ∠平分线所在的直线与BC 垂直，可知ABC V 为等腰三角形，再由12AB AC AB AC ⋅=u u u v u u u v u u uv u u u v 可求出A ∠，即得三角形形状。

2020-2021深圳市南山外国语学校高三数学下期末模拟试题及答案

2020-2021深圳市南山外国语学校高三数学下期末模拟试题及答案一、选择题1．已知变量x 与y 正相关，且由观测数据算得样本平均数3x =， 3.5y =，则由该观测的数据算得的线性回归方程可能是( ) A ．$0.4 2.3y x =+ B ．$2 2.4y x =- C ．$29.5y x =-+D ．$0.3 4.4y x =-+2．在空间直角坐标系中，点P(3,4,5)与Q(3，－4，－5)两点的位置关系是( ) A ．关于x 轴对称 B ．关于xOy 平面对称 C ．关于坐标原点对称 D ．以上都不对 3．函数()()2ln 1f x x x=+-的一个零点所在的区间是( ) A ．()0,1B ．()1,2C ．()2,3D ．()3,44．甲、乙、丙3位志愿者安排在周一至周五的5天中参加某项志愿者活动，要求每人参加一天且每天至多安排一人，并要求甲安排在另外两位前面，不同的安排方法共有（） A ．20种B ．30种C ．40种D ．60种5．已知非零向量a b r r ，满足2a b r r =，且ba b ⊥r r r （–），则a r 与b r 的夹角为 A ．π6B ．π3C ．2π3D ．5π66．函数()sin(2)2f x x π=-的图象与函数()g x 的图象关于直线8x π=对称，则关于函数()y g x =以下说法正确的是（）A ．最大值为1，图象关于直线2x π=对称B ．在0,4π⎛⎫⎪⎝⎭上单调递减，为奇函数C ．在3,88ππ⎛⎫-⎪⎝⎭上单调递增，为偶函数 D ．周期为π，图象关于点3,08π⎛⎫⎪⎝⎭对称 7．函数y ()y ()f x f x ==，的导函数的图像如图所示，则函数y ()f x =的图像可能是A ．B ．C ．D ．8．已知某几何体的三视图（单位：cm ）如图所示，则该几何体的体积是（）A ．108cm 3B ．100cm 3C ．92cm 3D ．84cm 39．下列说法正确的是( ) A ．22a b ac bc >⇒> B ．22a b a b >⇒> C ．33a b a b >⇒>D ．22a b a b >⇒>10．已知,a b ∈R ，函数32,0()11(1),032x x f x x a x ax x <⎧⎪=⎨-++≥⎪⎩，若函数()y f x ax b =--恰有三个零点，则（）A ．1,0a b <-<B ．1,0a b <->C ．1,0a b >-<D ．1,0a b >->11．若0,0ab >>，则“4a b +≤”是 “4ab ≤”的（）A ．充分不必要条件B ．必要不充分条件C ．充分必要条件D ．既不充分也不必要条件12．已知抛物线22(0)y px p =>交双曲线22221(0,0)x y a b a b-=>>的渐近线于A ，B 两点（异于坐标原点O 5AOB ∆的面积为32，则抛物线的焦点为（） A ．(2,0)B ．(4,0)C ．(6,0)D ．(8,0)二、填空题13．已知曲线ln y x x =+在点()1,1处的切线与曲线()221y ax a x =+++相切,则a= ．14．某工厂生产甲、乙、丙、丁四种不同型号的产品，产量分别为200,400,300,100件，为检验产品的质量，现用分层抽样的方法从以上所有的产品中抽取60件进行检验，则应从丙种型号的产品中抽取________ 件.15．已知函数21,1()()1a x x f x x a x ⎧-+≤=⎨->⎩，函数()2()g x f x =-，若函数()()y f x g x =-恰有4个不同的零点，则实数a 的取值范围为______．16．函数log (1)1(01)a y x a a =-+>≠且的图象恒过定点A ，若点A 在一次函数y mx n =+的图象上，其中,0,m n >则12m n+的最小值为 17．已知圆台的上、下底面都是球O 的截面，若圆台的高为6，上、下底面的半径分别为2，4，则球O 的表面积为__________．18．一个算法的伪代码如图所示，执行此算法，最后输出的S 的值为________．19．设复数1(z i i =--虚数单位),z 的共轭复数为z ，则()1z z -⋅=________. 20．三个数成等差数列，其比为3:4:5，又最小数加上1后，三个数成等比数列，那么原三个数是三、解答题21．已知2256x ≤且21log 2x ≥，求函数22()log log 22x xf x =⋅的最大值和最小值． 22．已知椭圆C 的中心在坐标原点，焦点在x 轴上，它的一个顶点恰好是抛物线214y x =的焦点，离心率为25. （Ⅰ）求椭圆C 的标准方程；（Ⅱ）过椭圆C 的右焦点F 作直线l 交椭圆C 于A 、B 两点，交y 轴于M 点，若1MA AF λ=u u u r u u u r ，2MB BF λ=u u u r u u u r，求12λλ+的值.23．已知圆O 1和圆O 2的极坐标方程分别为ρ=2,ρ2-2ρcos(θ-)=2.(1)把圆O 1和圆O 2的极坐标方程化为直角坐标方程. (2)求经过两圆交点的直线的极坐标方程.24．设函数22()ln (0)f x a x x ax a =-+>（Ⅰ）求()f x 单调区间（Ⅱ）求所有实数a ，使21()e f x e -≤≤对[1,e]x ∈恒成立注：e 为自然对数的底数25．已知函数()()2f x x 2a 1x 2alnx(a 0)=-++>．()1求()f x 的单调区间；()2若()f x 0≤在区间[]1,e 上恒成立，求实数a 的取值范围．26．如图，在四面体ABCD 中，△ABC 是等边三角形，平面ABC ⊥平面ABD ，点M 为棱AB 的中点，AB =2，AD =23，∠BAD =90°．（Ⅰ）求证：AD ⊥BC ；（Ⅱ）求异面直线BC 与MD 所成角的余弦值；（Ⅲ）求直线CD 与平面ABD 所成角的正弦值．【参考答案】***试卷处理标记，请不要删除一、选择题 1．A 解析：A 【解析】试题分析：因为与正相关，排除选项C 、D ，又因为线性回归方程恒过样本点的中心，故排除选项B ；故选A ．考点：线性回归直线.2．A解析：A【解析】点P(3,4,5)与Q(3，－4，－5)两点的x 坐标相同，而y 、z 坐标互为相反数，所以两点关于x 轴对称．考点：空间两点间的距离.3．B解析：B 【解析】【分析】先求出(1)(2)0,f f <根据零点存在性定理得解. 【详解】由题得()21ln 2=ln 2201f =--<， ()22ln3=ln3102f =-->，所以(1)(2)0,f f <所以函数()()2ln 1f x x x=+-的一个零点所在的区间是()1,2. 故选B 【点睛】本题主要考查零点存在性定理，意在考查学生对该知识的理解掌握水平，属于基础题.4．A解析：A 【解析】【分析】【详解】根据题意，分析可得，甲可以被分配在星期一、二、三；据此分3种情况讨论，计算可得其情况数目，进而由加法原理，计算可得答案．解：根据题意，要求甲安排在另外两位前面，则甲有3种分配方法，即甲在星期一、二、三；分3种情况讨论可得，甲在星期一有A 42=12种安排方法，甲在星期二有A 32=6种安排方法，甲在星期三有A 22=2种安排方法，总共有12+6+2=20种；故选A ．5．B解析：B 【解析】【分析】本题主要考查利用平面向量数量积计算向量长度、夹角与垂直问题，渗透了转化与化归、数学计算等数学素养．先由()a b b -⊥r r r 得出向量,a b r r的数量积与其模的关系，再利用向量夹角公式即可计算出向量夹角．【详解】因为()a b b -⊥r r r ，所以2()a b b a b b -⋅=⋅-r r r r r r =0，所以2a b b ⋅=r r r ，所以cos θ=22||122||a b b b a b ⋅==⋅r r r r r r ，所以a r 与b r 的夹角为3π，故选B ．【点睛】对向量夹角的计算，先计算出向量的数量积及各个向量的摸，在利用向量夹角公式求出夹角的余弦值，再求出夹角，注意向量夹角范围为[0,]π．6．B解析：B 【解析】【分析】先求出函数y=g(x)的解析式，再利用三角函数的图像和性质对每一个选项逐一分析判断. 【详解】设点P(x,y)是函数()y g x =图像上的任意一点，则点Q (x ,)4y π-+在函数y=f(x)的图像上，sin[2(-x+)]sin 2()42y x g x ππ=-=-=，对于选项A,函数y=g(x)的最大值为1，但是()012g π=≠±，所以图象不关于直线2x π=对称，所以该选项是错误的；对于选项B,()()g x g x -=-，所以函数g(x)是奇函数，解222+22k x k ππππ-≤≤得+44k x k ππππ-≤≤，)k Z ∈（,所以函数在0,4π⎛⎫⎪⎝⎭上单调递减，所以该选项是正确的；对于选项C,由前面分析得函数y=g(x)的增区间为3[+,]()44k k k Z ππππ+∈,且函数y=g(x)不是偶函数，故该选项是错误；对于选项D,函数的周期为π，解2,,2k x k x ππ=∴=所以函数图像的对称中心为,0)(k Z)2k π∈（,所以该选项是错误的. 故选：B 【点睛】本题主要三角函数的解析式的求法，考查三角函数的图像和性质，意在考查学生对这些知识的理解掌握水平和分析推理能力.7．D解析：D 【解析】原函数先减再增，再减再增，且0x =位于增区间内，因此选D ．【名师点睛】本题主要考查导数图象与原函数图象的关系：若导函数图象与x 轴的交点为0x ，且图象在0x 两侧附近连续分布于x 轴上下方，则0x 为原函数单调性的拐点，运用导数知识来讨论函数单调性时，由导函数'()f x 的正负，得出原函数()f x 的单调区间．8．B【解析】试题分析：由三视图可知：该几何体是一个棱长分别为6，6，3，砍去一个三条侧棱长分别为4，4，3的一个三棱锥（长方体的一个角）．据此即可得出体积．解：由三视图可知：该几何体是一个棱长分别为6，6，3，砍去一个三条侧棱长分别为4，4，3的一个三棱锥（长方体的一个角）． ∴该几何体的体积V=6×6×3﹣=100．故选B ．考点：由三视图求面积、体积．9．C解析：C 【解析】【分析】由不等式的性质，对各个选项逐一验证即可得，其中错误的可举反例．【详解】选项A ，当c ＝0时，由a ＞b ，不能推出ac 2＞bc 2，故错误；选项B ，当a ＝﹣1，b ＝﹣2时，显然有a ＞b ，但a 2＜b 2，故错误；选项C ，当a ＞b 时，必有a 3＞b 3，故正确；选项D ，当a ＝﹣2，b ＝﹣1时，显然有a 2＞b 2，但却有a ＜b ，故错误．故选：C ．【点睛】本题考查命题真假的判断，涉及不等式的性质，属基础题．10．C解析：C 【解析】【分析】当0x <时，()(1)y f x ax b x ax b a x b =--=--=--最多一个零点；当0x …时，32321111()(1)(1)3232y f x ax b x a x ax ax b x a x b =--=-++--=-+-，利用导数研究函数的单调性，根据单调性画函数草图，根据草图可得．当0x <时，()(1)0y f x ax b x ax b a x b =--=--=--=，得1b x a=-；()y f x ax b =--最多一个零点；当0x …时，32321111()(1)(1)3232y f x ax b x a x ax ax b x a x b =--=-++--=-+-， 2(1)y x a x =+-'，当10a +…，即1a -…时，0y '…，()y f x ax b =--在[0，)+∞上递增，()y f x ax b =--最多一个零点．不合题意；当10a +>，即1a >-时，令0y '>得[1x a ∈+，)+∞，函数递增，令0y '<得[0x ∈，1)a +，函数递减；函数最多有2个零点；根据题意函数()y f x ax b =--恰有3个零点⇔函数()y f x ax b =--在(,0)-∞上有一个零点，在[0，)+∞上有2个零点，如图：∴01b a <-且3211(1)(1)(1)032b a a a b ->⎧⎪⎨+-++-<⎪⎩，解得0b <，10a ->，310(116,)b a a >>-+∴>-．故选C ．【点睛】遇到此类问题，不少考生会一筹莫展.由于方程中涉及,a b 两个参数，故按“一元化”想法，逐步分类讨论，这一过程中有可能分类不全面、不彻底.11．A解析：A 【解析】【分析】本题根据基本不等式，结合选项，判断得出充分性成立，利用“特殊值法”，通过特取,a b 的值，推出矛盾，确定必要性不成立.题目有一定难度，注重重要知识、基础知识、逻辑推理能力的考查. 【详解】当0, 0a >b >时，2a b ab +≥，则当4a b +≤时，有24ab a b ≤+≤，解得4ab ≤，充分性成立；当=1, =4a b 时，满足4ab ≤，但此时=5>4a+b ，必要性不成立，综上所述，“4a b +≤”是“4ab ≤”的充分不必要条件. 【点睛】易出现的错误有，一是基本不等式掌握不熟，导致判断失误；二是不能灵活的应用“赋值法”，通过特取,a b 的值，从假设情况下推出合理结果或矛盾结果.12．B解析：B 【解析】【分析】由题意可得2ba=，设点A 位于第一象限，且(),A m n ，结合图形的对称性列出方程组确定p 的值即可确定焦点坐标. 【详解】2222222215c a b b e a a a+===+=，∴2b a =，设点A 位于第一象限，且(),A m n ，结合图形的对称性可得：22322nm mn n pm ⎧=⎪⎪=⎨⎪=⎪⎩，解得：8p =，∴抛物线的焦点为()4,0，故选B . 【点睛】本题主要考查圆锥曲线的对称性，双曲线的渐近线，抛物线焦点坐标的求解等知识，意在考查学生的转化能力和计算求解能力.二、填空题13．8【解析】试题分析：函数在处的导数为所以切线方程为；曲线的导函数的为因与该曲线相切可令当时曲线为直线与直线平行不符合题意；当时代入曲线方程可求得切点代入切线方程即可求得考点：导函数的运用【方法点睛】解析：8 【解析】试题分析：函数ln y x x =+在(1,1)处的导数为111|1|2x x y x===+='，所以切线方程为；曲线2(2)1y ax a x =+++的导函数的为，因与该曲线相切，可令，当时，曲线为直线，与直线平行，不符合题意；当时，代入曲线方程可求得切点，代入切线方程即可求得.考点：导函数的运用.【方法点睛】求曲线在某一点的切线，可先求得曲线在该点的导函数值，也即该点切线的斜率值，再由点斜式得到切线的方程，当已知切线方程而求函数中的参数时，可先求得函数的导函数，令导函数的值等于切线的斜率，这样便能确定切点的横坐标，再将横坐标代入曲线（切线）得到纵坐标得到切点坐标，并代入切线（曲线）方程便可求得参数．14．18【解析】应从丙种型号的产品中抽取件故答案为18点睛:在分层抽样的过程中为了保证每个个体被抽到的可能性是相同的这就要求各层所抽取的个体数与该层所包含的个体数之比等于样本容量与总体的个体数之比即ni解析：18 【解析】应从丙种型号的产品中抽取30060181000⨯=件，故答案为18．点睛:在分层抽样的过程中，为了保证每个个体被抽到的可能性是相同的，这就要求各层所抽取的个体数与该层所包含的个体数之比等于样本容量与总体的个体数之比，即n i ∶N i ＝n ∶N ．15．【解析】【分析】由函数把函数恰有个不同的零点转化为恰有4个实数根列出相应的条件即可求解【详解】由题意函数且函数恰有个不同的零点即恰有4个实数根当时由即解得或所以解得；当时由解得或所以解得综上可得：实解析：(]2,3【解析】【分析】由函数()2()g x f x =-，把函数()()y f x g x =-恰有4个不同的零点，转化为()1f x =恰有4个实数根，列出相应的条件，即可求解. 【详解】由题意，函数()2()g x f x =-，且函数()()y f x g x =-恰有4个不同的零点，即()1f x =恰有4个实数根，当1x ≤时，由11a x -+=，即110x a +=-≥，解得2=-x a 或x a =-，所以2112a a a a -≤⎧⎪-≤⎨⎪-≠-⎩，解得13a <?；当1x >时，由2()1x a -=，解得1x a =-或1x a =+，所以1111a a ->⎧⎨+>⎩，解得2a >，综上可得：实数a 的取值范围为(]2,3.【点睛】本题主要考查了函数与方程的应用，其中解答中利用条件转化为()1f x =，绝对值的定义，以及二次函数的性质求解是解答的关键，着重考查了数形结合思想，以及推理与计算能力，属于中档试题. 16．8【解析】∵函数（且）的图象恒过定点A ∴当时∴又点A 在一次函数的图象上其中∴又∴∴（当且仅当时取）故答案为8点睛：本题主要考查了基本不等式基本不等式求最值应注意的问题(1)使用基本不等式求最值其失误解析：8【解析】∵函数log 11a y x =-+（）（0a ＞，且1a ≠）的图象恒过定点A ， ∴当2x =时，1y =，∴()21A ，，又点A 在一次函数y mx n =+的图象上，其中0mn >，∴21m n +=，又0mn >，∴0m >，0n >，∴()12124 248n m m n m n m n m n+=+⋅+=++≥（），（当且仅当122n m ==时取“=”），故答案为8. 点睛：本题主要考查了基本不等式.基本不等式求最值应注意的问题(1)使用基本不等式求最值，其失误的真正原因是对其前提“一正、二定、三相等”的忽视．要利用基本不等式求最值，这三个条件缺一不可．(2)在运用基本不等式时，要特别注意“拆”“拼”“凑”等技巧，使其满足基本不等式中“正”“定”“等”的条件．17．【解析】【分析】本道题结合半径这一条件利用勾股定理建立等式计算半径即可【详解】设球半径为R 球心O 到上表面距离为x 则球心到下表面距离为6-x 结合勾股定理建立等式解得所以半径因而表面积【点睛】本道题考查解析：80π【解析】【分析】本道题结合半径这一条件，利用勾股定理，建立等式，计算半径，即可。

2020-2021学年深圳南山外国语学校高三英语下学期期末试卷及答案

2020-2021学年深圳南山外国语学校高三英语下学期期末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AI started working with my hands at a young age. The youngest of five brothers, I took on the role as a “maintenance (维修) man” at an early age for our family’s small grocery store. Often my dad wouldn’t give me a clear idea of how something shouldbe done, so I just had to figure it out by researching or through trial and error.Fast forward to 2016 and those problem-solving skills would become the focus of Tippecanoe High School’s Homebuilding class. I knew I wanted to teach the students skills that went beyond just being able to hammer nails or cut pieces of two-by-fours. The problem was that we didn’t have the resources at the time to do much else. The idea of attracting some type of funding seemed very important. Designing, building and selling a tiny house on wheels seemed like the perfect project to accomplishthe task. I reached out to a number of local businesses and most of them responded with the greatest support for what x k w we were doing.This year we added a new element to the program. Through one of our partners, we were able to connect with the nonprofit Veteran’s Ananda Incorporated. Students in the Homebuilding class are leading the design and production of micro houses to be donated to this organization. The new partnership gives the students another focus to consider when designing and building the houses.There has been no shortage of students since our first year. Three years ago we had 41 students, the next 191, and this year it was limited to just over 160 students so we could have a safe and manageable classroom environment. The number of girls taking the class has risen steadily over the last few years as well. This class offers something for everyone and the skills are universal.1. How can we describe the young author?A. He opened a small grocery store.B. He did a lot of research in the lab.C. He enjoyed doing hands-on activities.D. He learnt about maintenance from his father.2. What do the underlined words “the task” in paragraph 2 refer to?A. Getting some financial support.B. Selling a tiny house on wheels.C. Reaching out to many local businesses.D. Offering the students some problem-solving skills.3. What can be inferred about the Homebuilding class from the last paragraph?A. Its size needs increasing.B. Itis popular with the students.C. It has caused some safety concerns.D. Its classroom environment is hard to manage.BWhen Alex Linwas 11 years old, he read an alarming article in the newspaper, which said that people were burying old computers in backyards, throwing TVs into streams, and dumping (丢弃) cell phones in the garbage. This was dangerous because e-waste contains harmful chemicals that can leak into the environment, getting into crops, animals, water supplies and people.Alex was really worried and decided to make it next project for WIN-the Westerly Innovations Network. Alex and six of his friends had formed this organization to help solve community problems two years before.But what could they do about this project with e-waste? The team spent several weeks gathering information about the harmful chemicals in e-waste and their effects on humans. They learned how to dispose(处置) of e-waste properly and how it could be recycled. Then, they sent out a Survey and found only one in eight know what e-waste was, let alone how to properly dispose of it.Alex and his friends went into action. They advertised in the local newspaper and distributed notices to students, asking residents to bring their unwanted electronics to the school parking lot. The drive lasted two days, and they collected over 9, 500 kilograms of e-waste. The next step was to set up a long-term e-waste drop-off center for the town. After some research, they’d learned that reusing is the best way to deal with electronic devices and it is seven times more efficient than recycling. So, they began learning to retrofit (翻新) computers themselves and distributed them to students who didn’t have their own. In this way, they could help students in the area and protect the environment at the same time.For a lasting solution to e-waste, the drop-off center wasn’t enough. Lawswould have to be passed. In 2016, WIN helped push for an e-waste bill in their town, which required companies that manufactured or sold electronics to take back e-waste. The bill clearly forbids the dumping of e-waste. Because of the work of WIN, more and more people, like Alex and his team, are getting the message about safe disposal of e-waste. As Alex says, “Today’s technology should not become tomorrow’s harmful garbage.”4. What was Alex’s worry after he read the article?A. The littering of e-waste.B. The recycling of plastic.C. The change of environment.D. At 11 p.m. on Monday.5. What did Alex do to start the project?A. Set up WIN.B. Collect information.C. Ask friends for help.D. The overuse of old computer.6. Which can best describe the way Alex and his team did their work?A. Traditional.B. Competitive.C. Scientific.D. Convenient.7. What message does the story convey?A. There is no end to perfection.B. success comes through failure.C. Every positive attitude has a reward.D. young people can make a big difference.CMy 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.8. 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.9. When did the writer visit the Great Wall?A. In spring.B. In summer.C. In autumn.D. In winter.10. What did the writer think of his tour?A. Adventurous.B. Disappointing.C. Satisfactory.D. Improvable.11. 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 GuideDA cheap printed sensor could transmit wildfire warnings. Wildfires have recently destroyed regions across the world, and theirgravityis increasing. Hoping to reduce harm, researchersled by Yapei Wang, a Chinese chemist ofRenminUniversity, say they have developed an inexpensive sensor to detect such fires earlier with less effort.Current detection methods rely heavily on human watchfulness, which can delay an effective response. Most wildfires are reported by the general public, and other alerts come from routine foot patrols and watchtower observers. Passing planes and satellites also occasionally spot something, but “the fire first appears on the ground," Wang says. “ When you see the fire from the sky, it is too late. ”The team says its new sensor can be placed near tree trunks' bases and send a wireless signal to a nearby receiver if there is a dramatic temperature increase. That heat also powers the sensor itself, without replacing batteries. The team printed the substances onto ordinary paper to create a sensor for just $ 0.40.But improving coordination among the different agencies involved in firefighting is even more crucial to address, says Graham Kent, an earthquake expert at theUniversityofNevada,Reno, who was not part of the study.Kentis director of ALERTWildfire, a network that uses cameras and crowd sourcing to watch for fires inCalifornia,NevadaandOregon. “The whole way that you respond to a fire until it's put out is like a ballet," he says. “You'd have to choreograph (设计) it just so, with resources precisely used at the right time and place and in the right order from detection to confirmation to assignment to extinguishment (熄灭).Fire detection is just step one.Wang says his team's next steps are to extend the device'ssignal range beyond the current 100 meters, which can limit practical use, and to develop a protective shield for it. The transmitter's effectiveness, he notes, will also need to be examined in the field ahead.12. What does the underlined word “gravity” in paragraph 1 probably mean?A. Pull.B. Extinction.C. Popularity.D. Severity.13. What do we know about the sensor?A. Its price remains high.B. Its batteries are replaceable.C. It can detect fires earlier and easier.D. It can reduce firefighters' pain.14. What doesKentmean in paragraph 4?A. Firefighting is easy but crucial.B. Fire detection resources are rich.C. Putting out a fire is an orderly activity.D. Technology is the key to extinguishing a fire.15. What's the plan for the new sensor according to Wang?A. Improving and testing it.B. Limiting its use and transmission.C. Examing and reducing its signal range.D. Getting it on the market ahead of time.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。

2020年深圳南山外国语学校高三英语下学期期末试题及答案

2020年深圳南山外国语学校高三英语下学期期末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AOvernight French ToastWhat You’ll Need•16-ounce loaf of French bread•5 eggs•1 1 /2 cups milk•1/2 cup half-and-half•1/3 cup maple syrup（枫糖浆）•1/2 teaspoon salt•foil（锡箔纸）•2 tablespoons melted butter（for topping）•2 tablespoons maple syrup（for topping）What to Do•With an adult’s help, cut the bread into 1-inch slices.•Place the eggs, milk, half-and-half, maple syrup, and salt into a large bowl. Stir（揽拌）the mixture until blended（混合均匀）.•Place the sliced bread into a baking dish. Pour the mixtureover the bread and press the slices into it. Cover the dish with foil and refrigerate overnight.•Remove the dish from the refrigerator at least one hour before baking. Ask an adult for help to preheat the oven to 375°F. Bake the French toast for 35 minutes or until golden brown.•For the topping, combine the melted butter and 2 tablespoons of maple syrup. Pour it over the French toast before serving.1.How much salt will you need to make a French toast?A.1/3 cup.B.1/2 teaspoon.C.2 tablespoons.D.16 ounces.2.How will you use foil?A.Place the sliced breadB.Cover the dish.C.Remove the dish.D.Eat the French toast.3.Who is the passage written for?A.Teachers.B.Parents.C.Cooks.D.Kids.BIvy League schools are considered to be the most prestigious of all colleges in the United States. These schools are primarily located in the Northeastern part of the country. There are eight total colleges that are considered to be Ivy League. These schools are Brown, Harvard, Cornell, Princeton, Dartmouth, Yale, and Columbia universities and the University of Pennsylvania. Of all institutions of higher learning, these elite schools are considered to be the most outstanding and the most sought-after in terms of acceptance and graduation.The term “Ivy League” came about in 1954 when the NCAA athletic conference for Division I was formed. At the time, the elitism of these schools was really due to their prestige in the realm of sports like basketball. Although the term “Ivy League” was not created until the 1950s, many of these schools were in existence as far back as 1636, when John Harvard became the first benefactor of Harvard University.Although this group of elite schools is considered to be part of one big league of the elite, there have been plenty of internal rivalries over the years. The sports that these colleges play were so popular that some teams began playing games in New York City so spectators could come from far away and watch the games. The popularity of both the athletes who played and the college team rivalries brought in a good deal of attention to the schools as well as revenue from ticket sales. There have also been academic rivalries between schools. Mostly, these rivalries are a matter of opinion in terms of which school has the most honor graduates, which schools offer the most prestigious scholarships, and what famous graduates have come from each school.Each Ivy League college has its own unique accomplishments that make it important. All carry a certain reputation with them, and each school has programs that excel primarily in the medical and law fields, making them some of the most sought-after schools in the world. Their admission process is very selective, which helps the schools ensure that they only accept the best and brightest. Many famous people have graduated from Ivy League schools, including recent presidents George W. Bush, Bill Clinton, and Barack Obama. This prestige leads many to believe that these colleges are only for the wealthy and elite. Often, companies look for Ivy League graduates as potential employees, usually preferred by law firms, medical facilities, and large corporations. It has long beencovetedto have earned a degree from an Ivy League school. Today, the Ivy League schools are still excellent in both academia and in sports, and they have left a legacy of higher education with an exceptional track record and reputation to go along with them.4. Which of the following statements is true according to the passage?A. Ivy League schools were initially famous for their reputation in sports.B. Ivy League schools didn’t come into existence until the 1950s.C. Ivy League schools do not compete with each other within the league.D. Ivy League schools are most popular for their excellence in the medical and law fields.5. Which of the following aspects is NOT mentioned in the passage?A. The history of the Ivy LeagueB. The rivalry of the Ivy LeagueC. The accomplishments and cultural impacts of the Ivy LeagueD. The future development of the Ivy League6. Why do many people believe that Ivy League colleges are only for the wealthy and elite?A. Because they are the most sought-after schools in the world.B. Because they have selective admission process to help ensure the quality of their students.C. Because many famous people have graduated from Ivy League schools.D. Because manycompanies look for Ivy League graduates as potential employees.7. What does the underlined word “coveted” in the last paragraph probably mean?A. advocatedB.DesiredC. restrictedD. sponsoredCThe idea of growing food in a desert would make most people laugh but this is quickly becoming a reality. There are currently two desert farms in the world where quality vegetables are being planted cheaply and easily.Sundrop Farms, based in South Australia, uses experimental greenhouses to grow tomatoes, peppers and cucumbers. The biggest challenge of growing food in a desert, obviously, is the lack of available water. The researchers at Sundrop Farms have gotten aroundthis problemby using the sun to desalinate (淡化) sea water. It can also be used to control the temperature of the greenhouses.Without depending on limited resources such as land and fresh water Sundrop Farms has made farming a practice. This can increase the world’s food supplies. Another benefit ofthis kind of farming is that it can be done anywhere, thus reducing the costs of transporting food to distant locations. Yet another benefit is that it reduces the need for pesticides (杀虫剂).Another experimental desert farm is the Sahara Forest Project, which began in Qatar in December 2012.Greenhouses in the farm are cooled by saltwater. Solar power and other technologies are used together to help make vegetation (植被) grow in the desert environment. As deserts have expanded over recent years around the world due to global warming, this project could solve the problem.The result form the Qatar project were better than expected and in June of 2014, Jordan agreed to host another one. This will be much bigger than the Qatar project and the project members will have even more opportunities to test their experiments on a much larger scale. It is not clear yet that desert farming resents the future of farming but these projects have shown some success in the field.8. What does “this problem” in paragraph 2 refer to?A. Sea water is bard to purify.B. The desert is short of water.C. The temperature is high in the desert.D. Desert farms aren’t fit to plant vegetables.9. What is one of the characters of desert farming?A. It needs more pesticides.B. It saves delivery costs.C. It has a location limit.D. It solves food waste problems10. What can we know about the Sabara Forest Project?A. It lives up to expectationsB. It can help produce more foodC. It is started to prevent global warmingD. It uses technology to produce saltwater11. What can be inferred about desert farming from the last paragraph?A. It still has problems to solve.B. It represents the future of farming.C. Its early success has aroused interest in it.D. Its aim is to create more job opportunities.DOne billion people in the world are short of water. How can this problem be solved. Some suggestions have been to desalinate ocean water or to build enormous water pipelines from areas where water is abundant. (Suggestions such as these prove extremely expensive when they are actually used.) One possibility that scientists are considering is pulling icebergs from either the North Pole or the South Pole to parts of the world with a watershortage. Although many questions must be answered before such a project could be tried, moving icebergs seems a reasonable possibility in the future.Engineers, mathematicians, and glaciologists from a dozen countries have been considering the iceberg as a future source of water. Saudi Arabia is particularly interested in this project because it has a great water shortage. Scientists estimate that it would take 128 days to transport a large iceberg (about 1/2 square mile) to Saudi Arabia. Yet the iceberg would be completely melted by the 104th day. Therefore, insulation would be essential, but how to insulate the iceberg remains an unsolved problem.The problems in transporting an iceberg are numerous. The first problem is choosing the iceberg to pull. The icebergs that form in the North Pole are quite difficult to handle because of their shape. Only a small portion extends above the water — most of the iceberg is below the surface, which would make it difficult to pull. South Pole icebergs, on the other hand, are flat and float like table tops. Thus they would be much easier to move.How can a 200-million-ton iceberg be moved. No ship is strong enough to pull such enormous weight through the water. Perhaps several ships could be used. Attaching ropes to an iceberg this size is also an enormous problem. Engineers think that large nails or long metal rods could be driven into the ice. What would happen if the iceberg splits into several pieces during the pulling. Even if an iceberg with very few cracks were chosen, how could it be pulled through stormy waters. Furthermore, once the iceberg reached its destination, very few ports would be deep enough to store it.All of these problems must be solved before icebergs can become a reasonable source of water. Yet scientists estimate that it will be possible to transport them in the near future. Each year, enough icebergs form to supply the whole world with fresh water for a full year. In addition, icebergs are free and nonpolluting. As a solution to the world’s water problems, icebergs may be a workable possibility.12. What is a problem in transporting iceberg?A. The size of the iceberg.B. The colour of the iceberg.C. The salt in the iceberg.D. The movement of air and water.13. What is the author’ attitude towards transporting iceberg?A. Pessimistic.B. Objective.C. Optimistic.D. Unconcerned.14. What does the last paragraph mainly tell us?A. It is hard to use iceberg.B. Iceberg are a good choice.C. There are problems with iceberg.D. Man finds no other ways to solve water shortage.15. What can be a suitable title for the text?A. Shortage of water.B. Icebergs for water.C. Scientists and icebergs.D. Iceberg—scientists headache.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。