深圳外国语学校高一期中考试试卷(2013-5)

深圳外国语学校2009—2010 初一数学期中考试卷考试时间:90分钟Ⅰ卷一、选择题（每小题只有一个正确选项，每题2分，共20分）1. 43-的倒数是( ) (A) 43 (B) 43- (C)34 (D) 34- 2.用代数式表示：“a 的3倍与5的差”，其中正确的是：( )（A ）53-a （B ）()53-a （C ）()a53- （D ）a 35- 3. 在%,,,,,.38232053---+中负分数有…………………（ ） (A) 1个 (B) 2个 (C) 3个 (D) 4个 4.下列代数式中，去括号后结果等于c b a --的是： （A ）()a b c -++ （B ）()b c a --- （C ）()a b c -- （D ）()c b a -+-5. 下列各组数中，相等的是（ ）(A) 2222）与（-- (B) 2332与 (C) 3333）与（--(D) ()223434⨯-⨯-与 6.下列图形中，不能折成正方体的是（ ）7.下列各题运算正确的是（ ）（A ）xy y x 633=+ （B ）2x x x =+（C ）716922=+-y y （D ）09922=-b a b a8. 用一个平面去截一个长方体，截面的形状不可能是（ ） （A ）四边形 （B ）五边形 （C ）六边形 （D ）七边形 9.下列结论正确的个数有（ ）⑴非负整数就是正整数。

⑵自然数就是正整数。

⑶带有正号的数是正数，带有负号的数是负数。

⑷有最小的正整数，但没有最小的正有理数。

⑸零大于一切负数，而小于一切正数。

(A) 1个 (B) 2个 (C) 3个 (D) 4个 10.下列计算中正确的个数是（ ）（1）()()497772=-⋅-=- （2）123-=-- （3）932239=⨯÷（4）()()()()211221138467822372-=+-=-÷-+-=-÷---⨯+-（5）943232322=⎪⎭⎫ ⎝⎛-⋅⎪⎭⎫⎝⎛-=-(A) 1个 (B) 3个 (C) 0个 (D) 5个二、填空题（每空2分，共20分）11.532yx -的系数是__________ ； π-3的相反数是__________.平方等于16的数是__________ ， 立方等于278-的数是__________.12. 绝对值大于1.5而小于4.5的负整数是__________.13. 若4311y x m -和n y x 235是同类项，则=+n m 32__________；加上12+-x 等于1432+--x x 的代数式是__________.14.已知732=-n m ，那么=+-n m 648__________.15.已知a 是两位数，b 是一位数，把a 接写在b 的后面，就成为一个三位数。

深圳外国语学校2012～2013学年度高一第一学期学段（一）考试英语试卷第I卷（三部分，共65分）第一部分听力（共20小题；每小题1分，满分20分）第一节听力理解（共15小题；每小题1分，满分15分）每段播放两遍。

各段后有几个小题，各段播放前每小题有5秒钟的阅题时间。

请根据各段播放内容及其相关小题，在5秒钟内从题中所给的A，B，C项中，选出最佳选项，并在答题卡上将该项涂黑。

听第一段材料，回答第1-3题。

1．Why does the man want to make an appointment?A. To have one of his teeth pulled out.B. To have his yearly physical examination.C. To have his neck operated on.2．How much time is the man given for his appointment?A. An afternoon.B. Half an hour.C. Two hours.3．What can we infer from the conversation?A. The man is known to the doctor.B. David lives in 1864 Elm Street.C. The woman is an operator.听第二段材料，回答第4－6三个小题。

4．What are they talking about?A. News about a friend and their own business.B. Information they read in the newspaper.C. A classroom lecture.5．What kind of business does the man probably own?A. A hotel.B. A shop.C. A factory.6．What‟s the man‟s opinion of Paul?A. He is lucky.B. He is a good businessman.C. He shouldn‟t have mov ed.听第三段材料，回答第7－9三个小题。

南京外国语学校2012-2013学年第一学期期中考试高一英语试卷第二部分英语知识运用（共两节，满分45分）第一节单项填空（共15小题；每小题1分，满分15分）从A、B、C、D四个选项中，选出可以填入空白处的最佳选项。

21. George, as well as his children________ fond of the peaceful lifestyle in the countryside.A. isB. areC. have beenD. has been22. Tom_______ in the library every night over the last three months.A. worksB. workedC. has been workingD. had been working23. Ladies and gentlemen, please fasten your seat beat. the plane ________. A takes off B is taking offA. takes offB. is taking offC. has taken offD. took off24. New media, including blogs and social networking sites, are increasing their reach to people________traditional media like newspapers are becoming less popular.A. whileB. howeverC. whenD. before25. The face of our famous American presidents on Mount Rushmore can be seen from a ________of 60 mulesA. lengthB. wayC. distanceD. space26. we have to get our classroom_______before others come back as it is now in such a mess.A. clean upB. cleaning upC.to clean upD. cleaned up27. Yi Siling’s hometown boiled_______the news came that she was the first to win a gold medal in London Olympic Games.A. at the momentB. for a momentC. the momentD. in a moment28.-Lu cy doesn’t mind lending you her dictionary.- She________.I’ve already borrowed one.A. can’tB. mustn’tC. needn’tD. shouldn’t29. After hearing that their favorite singer will come, the fans are_______ to meet him.A. keenB. confidentC.helpfulD. calm30.I couldn’t do my homework with all the noise_______A. going onB. goes onC. went onD. to go on31. The villagers have already known_______we’ll do is to rebuild the bridge.A. thisB. thatC.whatD. which32. _______impressive the record is, it fades next to the story of Armstrong’s struggle against disease.A. forB.fromC.toD. against33. Jack wasn’t saying anything, but the teacher smiled at him _______he had done something very cleverA. even ifB.as ifC. in caseD. so that34. His comments brought great________to the artist’s reputation, which made the public angry.A. injuryB. woundC. hurtD.harm35. —I’m going to get married, David.—oh,good________.A. That’s brilliant! When’s the big day?B. Well don’t!It’s brilliantC. You lucky thing!D. I am sorry to hear that.第二节完形填空（共20小题；每小题1分，满分20分）阅读下面短文，掌握其大意。

()13f x =x深圳市福田区外国语高级中学2021-2022学年度第一学期高一年级 期中考试 数学学科试题答题注意事项：1.本试卷满分150分；考试用时120分钟；2.本试卷分二卷,不按要求答卷不得分。

一、单项选择题：本题共8小题，每小题5分，共40分．在每小题给出的四个选项中，只有一项是符合题目要求的． 1.命题“，”的否定为A. ，B. ，C. ，D.， 2.设集合，，则A. B.C.D.3.设：，：，则是的A. 必要不充分条件B. 充分不必要条件C. 充要条件D. 既不充分也不必要条件4.下列函数中，在其定义域内既为奇函数又为增函数的是A.B. C. +1D.()x-xf x =2+25.已知是定义在上的偶函数，那么b a+a 的值是 A.B.C.D.6.已知，则三者的大小关系是A. B. C. D.7.定义在R 上的偶函数()x f ，对任意的[)1212,0, x x x x ∈+∞≠且，有()()02121<--x x x f x f ，则A.()()()123f f f <-<B.()()()321f f f <-<C.()()()312f f f <<-D.()()()213-<<f f f 8.已知函数，当时，取得最小值，则函数的图象是A. B.C. D.二、多项选择题：本题共4小题，每小题5分，共20分. 在每小题给出的四个选项中，有多项符合题目要求，全部选对的得5分，有选错的得0分，部分选对的得2分． 9.下列各组表示不同函数的是A. ，B. ，C.，D.，10.若,则下列结论正确的是 A.B.C.D.11.以下命题正确的是A.()x -0∃∈∞，，使B.()(x2a +2x 2f x =x x 2⎧≤⎪⎤⎨⎦>⎪⎩，若函数在R 上单调递增，则正实数a 的取值范围是1,2， C. 若函数(21)y f x =+的定义域为[2,3]，则函数()y f x =的定义域为[0.5,1] D. 函数()2x -x1f x =2⎛⎫⎪⎝⎭单调递增区间为12.当一个非空数集满足条件“若，，则，，，且当时，”时，称 为一个数域，以下说法正确的是 A. 是任何数域的元素 B. 若数域有非零元素，则C. 集合为数域D. 有理数集为数域三、 填空题：本题共4小题，每小题5分，共20分． 13.函数的定义域是______．14.已知，则的最小值为______．15.已知函数是幂函数，且在上是减函数，则实数的值为______． 16.已知是定义在上的奇函数，当时，，若函数在区间上的值域为，则实数的取值范围是 ．四、 解答题：本题共2小题，每小题10分共20分．解答应写出文字说明、证明过程或演算步骤． 17.（本小题10分）已知集合，，．求；若B C φ=,求实数的取值范围．18.（本小题12分）已知函数x 2 02()1-x -2032x f x x x ⎧≤≤⎪=≤<⎨⎪<-⎩，，， .（1）()f f -⎡⎤⎣⎦求1的值； （2）在坐标系中画出的草图；（3）写出函数()f x 的单调区间和值域.19.（本小题满分12分）函数()21ax b f x x +=+是定义在R 上的奇函数，且()112f =.（1）求实数a b 、的值；（2）判断函数()f x 在()1,+∞上的单调性，并用单调性的定义证明你的结论； （3）求该函数()f x 在区间[]2,4上的最大值与最小值。

广东省深圳市宝安第一外国语中学2023-2024学年高一上学期期中考试英语试题学校:___________姓名：___________班级：___________考号：___________一、单项选择1．Linda always ______ to the library at the center of the town.A．goes B．go C．went D．will go2．He has written more than 100 novels, ______ are intended for children.A．most of them B．some of which C．all of them D．some3．We will be exploring different approaches to ______ information in next forum held in our college.A．gathering B．gathered C．be gathered D．gather 4．The reason is that Britain’s supermarkets ______ huge changes in the past decades.A．experiences B．experienced C．was experiencing D．haveexperienced5．The boy ______ hair is yellow comes from America.A．who B．that C．whom D．whose 6．Father came over and asked me ______.A．what was the problem B．what the problem wasC．what is the problem D．what the matter is7．The year of 2021 is coming to ________ end.A．a B．the C．/D．an8．—I’m sure Andrew will win the first prize in the final.—I think so. He ______ for it for months.A．had been preparing B．is preparing C．has beenpreparing D．was preparing9．The next day people put up shelters in the open air made with anything ______ they could find.A．which B．that C．whom D．whose10．I can’t understand the reason ______ he left without saying goodbye.A．why B．that C．which D．what 11．Alice decides to take a day off in order to have her eyes ______ tomorrow.A．examined B．examining C．to examine D．examine 12．According to the survey conducted by a group of students, most high school students prefer watching TV to ______.A．to be read B．reading C．to read D．read13．The reference book is worth ______ , because it is a great help for your study.A．to buy B．bought C．buy D．buying 14．—She was hurt by what you said.—I’m sorry, but I didn’t do it ______.A．on time B．by accident C．after all D．on purpose 15．There is no doubt that December 13th is the day ______ every Chinese will never forget.A．on which B．when C．which D．about which 16．Look! The house is the same one ______ we saw last week.A．that B．who C．which D．as 17．Thanks to advances in technology, the way we make friends and communicate with them has changed ________.A．currently B．regularly C．significantly D．typically 18．This is the first time I ______ to Chengdu and I am truly impressed by the lifestyle of people here.A．come B．came C．have come D．will come 19．“Is this the young man ______ saved several people trapped under buildings?” she asked.A．who B．whom C．whose D．which20．I _____ to Huizhou when I suddenly found that I was on the wrong road.A．drove B．have driven C．was driving D．would drive二、阅读理解Artificial intelligence (Al) is practically everywhere today. There are so many products out there which use Al. Some are being developed, some are already in use, and some failed and are being improved, so it’s very difficult to name a few of them and regard them as the best.ViIt is an Al personal trainer which is mainly concerned with fitness and coaching. It, however, requires the use of bio-sensing earphones and other fitness tracking equipment! Itcan play your favourite music while you work out and all you have to worry about is the exercise you're doing.Deep TextDo you ever wonder how an ad appears suddenly just when you are looking for something similar? This is because of Deep Text. It uses real-time consumer information to produce data which in turn is used to target consumers. Thus, if you search online for flight tickets from Bangalore to Delhi, it is very likely that an ad relating to hotels in Delhi will soon follow.Hello EggIf you live alone and miss your mother because you always miss your breakfast or don’t know what to eat for dinner, then Hello Egg is exactly what you are looking for. A very healthy choice of the 2-minute noodles and oats, Hello Egg provides you with a detailed weekly meal plan about the needs of your body. It is truly a modern AI-powered home cooking tool for the young.WordsmithYou can put Mr. Smith into your Microsoft Excel using their free API, and let it write up detailed analysis of the stories behind your numbers. It can produce detailed reports on thousands of pages of spreadsheets in seconds.21．What can we learn about Vi from the text?A．It is an AI music player.B．It is a bio-sensing earphone.C．It doesn't work without bio-sensing earphones.D．It can make you more energetic while you work out.22．Which can help you improve cooking skill?A．Deep Text.B．Vi.C．Wordsmith.D．Hello Egg.23．What can Wordsmith do for us?A．Produce a detailed report.B．Provide us with a detailed meal plan.C．Book a ticket ahead of time.D．Offer us information on hotels fortraveling.In a world where acts of kindness often go unnoticed, a good story that has beendiscovered reminds us of the power of care and the effect it can have on someone’s life.It all started with a “Kindness Week Challenge” given to Brennan by his 8th-grade teacher, Ms. Watkins. Little did he know that this challenge would lead to a wonderful friendship with 84-year-old Ms. Ann.Brennan’s promise to send his little attractive things every day for a week developed a habit of checking up on Ms. Ann and sending gifts regularly(定期地), long after the challenge was over.Their friendship has now lasted for over five years, and Brennan still visits Ms. Ann every month with flowers, cakes, chocolates, cards and more.They talk about everything from his high school life to his college goals. The pair has found that they share a common love of chocolates. Ms. Ann always hopes to hear about what he’s doing and loves to share her own stories from a different time. They have become the best friends, with Brennan treating her as his great-grandmother.Brennan’s mom, Traci, takes pride in her son. She said, “The best thing a teenager can do is to take care of the elderly. I’m so glad my son has added more sunshine to Ms. Ann’s life. I hope he always remembers the joy he’s brought her, and his fun talks with her, keeps his kind heart, and thinks of others.”Ms. Ann’s daughter Emma, with her husband Gould, has a 2-year-old son. They are thankful for Brennan’s friendship as they cannot always be with Ms. Ann. Brennan’s kind heart has brought more sunshine into Ms. Ann’s life, and her encouraging words have helped to inspire(启发)him in return.24．How did the task “Kindness Week Challenge” affect Brennan?A．He discovered his love of chocolates.B．He became a good friend of Ms. Ann.C．He developed a habit of receiving gifts.D．He learned how to choose attractive things.25．What do Brennan and Ms. Ann both like?A．Flowers.B．Cakes.C．Chocolates.D．Cards. 26．What makes Traci feel proud of Brennan?A．His kindness to others.B．His talent for telling stories.C．His good performances at school.D．His ability to earn money for the gifts.27．How do Ms. Ann’s family feel about Brennan?A．Worried.B．Sorry.C．Thankful.D．Surprised.Foreign visitors to the UK might be disappointed when they learn that not everyone there speaks like Harry Potter and his friends. Usually, there’s an assumption by many non-Brits that everyone in Britain speaks with an accent known as Received Pronunciation (RP, 标准发音), also called the “Queen’s English”. However, while many people do talk this way, most Britons speak with their own regional accents.Scouse, Glaswegian and Black Country dialect—from Liverpool, Glasgow and the West Midlands—are just three of the countless non-RP accents that British people speak with. There are even differences in accents between towns or cities just 30 kilometers apart. What is even more disappointing is that not speaking with the RP accent may mean a British person is judged and even treated differently in their everyday life.In a 2015 study by the University of South Wales, videos of a group of people reading a passage with three different UK accents were shown to a second group of people. The second group then rated how intelligent they thought the readers sounded. The lowest-rated accent was Brummie, spoken by people in Birmingham, a city whose accent is considered working-class.However, there is no need to be disappointed though you are not speaking with the RP accent. In fact, doing the opposite may even give you strengths.Kong Seong-jae is an Internet celebrity from Seoul. After studying in the UK, he picked up several regional accents. He’s now famous for his online videos, where he shows off the various accents he’s learnt. “British people usually get really excited when I use some of their local dialect words, and they become much friendlier. I think it makes a bond(联系)between local people and foreigners to speak with their local accent,” he said.So if you’re working on perfecting your British accent, try to speak like someone from Liverpool, Glasgow or Birmingham. You may not sound like Harry Potter, but you are likely to make more friends.28．What can we know from Paragraph 1?A．Non-Brits usually hold that all Britons speak with an accent called RP.B．Only the ”Queen’s English“ is accepted in the UK.C．Foreign visitors are disappointed at their own spoken English.D．All Britons speak with regional accents29．What do people think of the Brummie accent?A．It is favoured by foreign visitors to the UK.B．It is the closest to RPC．It sounds smart and is easy to understand.D．It is spoken by working class people.30．What does the underlined phrase “doing the opposite” in Paragraph 4 refer to?A．Speaking with the RP accent.B．Speaking with regional accents.C．Speaking with Brummie accent.D．Speaking like Harry Potter.31．What is the passage mainly about?A．A study of the most intelligent accent in Britain.B．A comparison between different British accents.C．How much British people value the RP accent.D．There are many regional accents in the UK besides RP.The thought of low material need and being unwilling to work, marry and have children, is described as a “lying down” lifestyle recently. It creates an emotional reaction among many young Chinese who are eager to take pause to breathe in this fast-paced and highly competitive society.Many young people complained to the Global Times that duties, including work stress, family argument and financial pressure, have pushed them “against the wall”. They said they hate the “involution (内卷)”, joking that they would rather give up some of what they have than get stuck in an endless competition against peers(同龄人).“Instead of always following the ‘good quality’ of struggle and sacrifice to bear the stresses, they prefer a temporary(暂时的) lying down as release and adjustment,” said an expert. “It is no wonder that some young people, under the growing pressures from child-raising to paying the mortgage (按揭) today, would try to live in a simple way and leave the worries behind.”Interestingly, the majority of young people, who claim to be big fans of the lying downphilosophy, admit that they only accept a temporary lying down as a short rest. It is true that with the great improvement of living conditions, some Chinese youth have partially lost the spirit of hardship and are not willing to bear too much hard work. But in fact, lying down is not entirely comfortable. Young people who lie down always feel ashamed about their constant loss of morale (士气).“Young people have both ambition and confusion about their future, but most of us have refused to waste opportunities and challenges,” a postgraduate student told the Global Times. “It’s no use running away. I have to ‘stand up’ and face the reality sooner or later.”32．Which of the following is NOT a “lying down” lifestyle according to the passage?A．Being uninterested in material enjoyment and refusing to shoulder duties.B．Being involved in various social activities.C．Stopping to breathe in a stressful life.D．Giving up struggle and sacrifice.33．What might have caused the “lying down” lifestyle among the young?A．Poor health from working so hard.B．Increasing material wealth from families.C．Growing pressure from family and social life.D．Temporary adjustment to failure in competitions.34．What’s the expert’s attitude toward the “lying down” group?A．Understanding.B．opposed C．Supportive.D．Unclear. 35．What can be inferred about the young generation from the text?A．They would rather escape than take challenges.B．They really enjoy the “lying down” lifestyle.C．They find their dreams far beyond their reach.D．They never really drop theirresponsibilities.三、七选五Stepping out of your comfort zone (区域) helps you to improve yourself and become a happy and fun person. You’ll experience greater enjoyment as you try out new experiences.uncomfortable at first, but you will know that is just part of the process to let you know better about yourself.Go to another countryYou will experience new cultures, different customs, unique landscapes and another language from travel. 38 . Additionally, the excitement of exploring different scenery and experiencing different cultures are lifelong treasure.39Try diving, skydiving or a roller coaster ride. If those are too frightening, try giving a speech or taking a dance class. Once you overcome your inner fear, you will have a sense of satisfaction that comes from overcoming it.Talk with someone newThis doesn’t have to be a complete stranger. Start a conversation with someone new at work, the barista (咖啡师) in your local coffee shop, a neighbour or someone in the queue.40 . By focusing on other people rather than your own internal thoughts, you can improve your own mental health.A．Do something that is fearful for youB．Become uncomfortable with the InternetC．You can end your conversation with your friends anytimeD．Leave your phone at home, turn off the TV and the InternetE．Here are some ways that can probably lead you to a new lifeF．See if you can continue the conversation for 30 seconds or longerG．Besides, using cash from different countries is also good for your brain四、完形填空writing?One day, it was too noisy and my thoughts were entirely disturbed. I had my husband go to 47 her about the matter. Minutes later, he returned. “That girl is only 17,” he48 with a sad look, “but she has bone cancer.” My mind suddenly went 49 . “Her mother said that the more hurtful it is, the louder her daughter sings. It helps her 50 the pain. The poor mother begs our pardon for interrupting us.” In a flash, I felt guilty about my thoughtless 51 .From that day on, I no longer felt anything wrong, and even got used to her singing—I felt as if 52 by the smell of flowers. Afterwards I was on business and happened to know the girl had been admitted into a hospital. When I returned home in late summer, I somehow felt that something was 53 . I couldn’t hear the girl next door sing anymore.“However hard the winds blow, you will stray ( 走失) no more from my 54 … You shall believe that I am brave only with you…” Her singing always 55 in my mind. I hope the voice is everlasting for you, me, and everyone.41．A．appetite B．condition C．mood D．location 42．A．bored B．inspired C．safe D．afraid 43．A．out of place B．out of fashion C．out of order D．out of tune 44．A．Gradually B．Suddenly C．Surprisingly D．Particularly 45．A．understand B．explain C．tolerate D．follow 46．A．interests B．head C．hope D．spirits 47．A．indicate B．approach C．apologize D．blame 48．A．cried B．yelled C．sighed D．declared 49．A．cold B．silent C．calm D．blank 50．A．accelerate B．gather C．release D．cover 51．A．style B．step C．movement D．behaviour 52．A．blown B．absorbed C．greeted D．moved 53．A．familiar B．abstract C．complex D．missing 54．A．company B．distinction C．attention D．reputation 55．A．develops B．rises C．reflects D．changes五、用单词的适当形式完成短文阅读下面材料，在空白处填入适当的内容（1个单词）或括号内单词的正确形式。

浙江省杭州外国语学校2013-2014学年（第一学期）高一期中考试数学试卷一、选择题（本大题共10小题，每小题3分，共30分，在每小题给出的四个选项中，只有一项是符合题目要求的，把答案填在答卷．．相应空格中） 1．已知集合|0,1x M x x R x ⎧⎫=≥∈⎨⎬-⎩⎭，{}2|31,N y y x x R ==+∈，则M N ⋂等于( )A ．φB ．{}|1x x ≥C ．{}|1x x >D ．{}|10x x x ≥<或 2．给出下列命题：①第二象限角大于第一象限角；②三角形的内角是第一象限角或第二象限角；③不论用角度制还是用弧度制度量一个角，它们与扇形所在圆的半径的大小无关； ④若sin sin αβ=，则α与β的终边相同； ⑤若cos 0θ<，则θ是第二或第三象限的角． 其中正确．．命题的个数是( )A ．1B ．2C ．3D ．43．若()f x =，则()f x 的定义域为 ( )A ．1,02⎛⎫-⎪⎝⎭ B ．1,02⎛⎤- ⎥⎝⎦ C ．1,2⎛⎫-+∞ ⎪⎝⎭D ．()0,+∞ 4．下列函数()y f x =中满足“对任意12,(0,)x x ∈+∞，当12x x <时，都有()12()f x f x <”的是 ( ) A ．1()f x x= B ．()2()1f x x =- C ．2()f x e = D ．()ln(1)f x x =+ 5．454sincos tan 363πππ⎛⎫⋅⋅- ⎪⎝⎭的值是( )A．4-B．4 C．4- D．46．定义在R 上的函数()y f x =是奇函数，且满足(1)(1)f x f x +=-．当[]1,1x ∈-时，3()f x x =，则(2013)f 的值是 ( )A ．1B ．2C ．0D ．1-7．若cos2sinαα+=tanα等于 ( ) A．12B．2 C．12-D．2-8．函数x xx xe eye e--+=-的图象大致为 ( ) 9．已知()y f x=为R上的减函数，则满足1(1)f fx⎛⎫<⎪⎝⎭的实数x的取值范围是 ( ) A．()1,1- B．()0,1 C．()()1,00,1-⋃ D．()(),11,-∞-⋃+∞10．已知函数lg,010()13,105x xf xx x⎧<≤⎪=⎨-+>⎪⎩，若,,a b c互不相等，且()()()f a f b f c==，则abc 的取值范围是 ( ) A．()1,10B．()5,10 C．()10,15D．()15,30二、填空题（本大题共7小题，每小题4分，共28分，把答案填在答卷中相应横线上）11．化简1603[(2)](1)---的值为____▲____.12．函数()f x=的单调增区间为____▲____.13．函数()2()log31xf x=+的值域为____▲____.14．已知cos63πα⎛⎫+=⎪⎝⎭，则5cos6πα⎛⎫-⎪⎝⎭的值为____ ▲____.15．已知函数()ln2f x x x=-+有一个零点所在的区间为(),1k k+ (*k N∈)，则k的值为____▲____.16．已知函数())f x x=，若实数,a b满足(1)()0f a f b-+=，则a b+等于▲ .17．已知不等式2log 0a x x -<，当10,2x ⎛⎫∈ ⎪⎝⎭时恒成立，则实数a 的取值范围是▲ .三、解答题（本大题共4小题，共42分，解答应写出文字说明，证明过程或演算步骤）18．(本小题满分10分）已知集合2{310}M x x x =-≤，{121}N x a x a =+≤≤+．(Ⅰ)若2a =，求M (R N ð)；(Ⅱ)若MN M =，求实数a 的取值范围．19．（本小题满分10分）已知()()sin cos 2ππαπααπ⎛⎫--+=<< ⎪⎝⎭，求下列各式的值： (Ⅰ)sin cos αα-； (Ⅱ) 33sin cos 22ππαα⎛⎫⎛⎫--+⎪ ⎪⎝⎭⎝⎭．20．(本小题满分10分）设a 为实数，函数()2()2f x x x a x a =+--.(Ⅰ)若(0)4f ≥，求a 的取值范围； (Ⅱ)求函数()f x 的最小值.21．(本小题满分12分）已知定义在D 上的函数()f x ，如果满足：对任意D x ∈，存在常数0M >， 使得|()|f x M ≤成立， 则称()f x 是D 上的有界函数， 其中M 称为函数()f x 的上界.下面我们来考虑两个函数：()421xxf x p --=+⋅+， 12()12xxq g x q -⋅=+⋅.（Ⅰ）当1p =时， 求函数()f x 在(),0-∞上的值域， 并判断函数()f x 在(),0-∞上是否为有界函数， 请说明理由；（Ⅱ）若1,22q ⎛∈⎝⎦， 函数()g x 在[]0,1上的上界是()H q ， 求()H q 的取值范围；（Ⅲ）若函数()f x 在[)0,+∞上是以3为上界的有界函数， 求实数p 的取值范围．杭州外国语学校2013-1高一年级期中考试数学答题卷一、选择题：(本大题有10小题，每小题3分，共30分)二、填空题：(本大题有7小题，每小题4分，共28分)11. 3 12.[)2,+∞ 13. ()0,+∞14.1,116⎡⎫⎪⎢⎣⎭三、解答题：(本大题有4小题，共42分，请写出必要的解答过程) 18. (1) 因为a ＝2，所以N ＝{x |3≤x ≤5}，∁R N ＝{x |x ＜3或x ＞5}． 又M ＝{x |－2≤x ≤5}， 所以M ∩ (∁R N )＝{x |x ＜3或x ＞5}∩{x |－2≤x ≤5}＝{x |－2≤x ＜3}．(2)若M ≠φ，由M N M =，得N ⊆M ，所以⎩⎪⎨⎪⎧a ＋1≥－22a ＋1≤52a ＋1≥a ＋1.解得0≤a ≤2； 当N ＝φ，即2a ＋1＜a ＋1时，a ＜0，此时有N ⊆M ，所以a ＜0为所求．综上，实数a 的取值范围是(－∞，2]．____________________________________________________________________________________19.（1）sin cos 3αα+=，所以平方可得：212sin cos 9αα+=，即：7sin cos 18αα=-所以4sin cos 3αα-===（2）原式=3322cossin (sin cos )(sin sin cos cos )αααααααα+=+-+7(1)18=+=_______________________ 姓名_____________ 试场号______________ 考号_______________…………密○………………………………………封○………………………………………○线………………………○20. （1）(0)4f ≥，即：4a a -≥，所以0a <，得到：24a ≤，所以2a ≤-（2）()()22222,()2,x x a x a f x x x a x a⎧+-≥⎪=⎨--<⎪⎩令222212()323,33g x x ax a x a a x a ⎛⎫=-+=-+≥ ⎪⎝⎭；()2222()22,h x x ax a x a a x a =+-=+-<当0a ≥时，2min ()2g g a a ==，2min ()2h h a a =-=-，所以2min 2f a =- 当0a <时，2min 1233g g a a ⎛⎫==⎪⎝⎭，2min ()2h h a a ==，所以2min 23f a =综上：2min22,02,03a a f a a ⎧-≥⎪=⎨<⎪⎩ ____________________________________________________________________________________21. （1）当p=1时，()421xx f x --=++因为)(x f 在(),0-∞上递减，所以()(0)3f x f >=，即)(x f 在(),1-∞的值域为()3,+∞故不存在常数0M >，使|()|f x M ≤成立, 所以函数()f x 在(),1-∞上不是有界函数（2）2()112xg x q =-+⋅，∵ q>0 ，[]1,0∈x ∴ ()g x 在[]0,1上递减，∴)0()()1(g x g g ≤≤ 即121()121q qg x q q--≤≤++∵1(2q ∈，∴112112q q q q --≥-++，∴1()1q g x q -≤+， ∴1()1q H q q-≥+ ，即 1[,)1qq -+∞+ （3）由题意知，3)(≤x f 在[)1,+∞上恒成立.3)(3≤≤-x f ， ∴1142()22()22x x x x p -⋅-≤≤⋅- 在[)0,+∞上恒成立∴ max min 11[42()][22()]22xx x x p -⋅-≤≤⋅-设t x=2，t t t h 14)(--=，tt t p 12)(-=， 由x ∈[)0,+∞得 t ≥1，设121t t ≤<，()()2112121241()()0t t t t h t h t t t ---=>, 所以)(t h 在[)1,+∞上递减，)(t h 在[)1,+∞上的最大值为(1)5h =-， 又()()012)()(21212121<+-=-t t t t t t t p t p ，所以)(t p 在[)1,+∞上递增， )(t p 在[)1,+∞上的最小值为(1)1p =所以实数p 的取值范围为[]5,1-。

深圳外国语学校2019-2020学年度高一第一学期期中考试物理试卷一、选择题1.对于体育比赛的论述，下列说法正确的是A. 运动员铅球成绩为4.50 m，指的是位移大小为4.50 mB. 运动员跑完800 m比赛，指的是路程大小为800 mC. 某场篮球比赛打了两个加时赛，共需10 min，指的是时刻D. 足球比赛挑边时，上抛的硬币落回地面猜测正反面，该硬币可以看作质点【答案】B【解析】【分析】在时间轴上，时间间隔用一段线段表示，而时刻用一个点表示；位移是初位置到末位置的有效线段，而路程是运动轨迹的实际长度．如果物体的大小和形状可以忽略时，物体即可以看作质点．【详解】运动员铅球成绩为4.50 m，4.50 m指的是位移的水平分量的大小，不是位移，故A错误；运动员跑完800 m比赛，轨迹是曲线，故800 m指的是路程大小，故B正确；某场篮球比赛打了二个加时赛，共需10 min，10 min指的是一段时间，是时间间隔，故C错误；足球比赛挑边时，上抛的硬币落回地面猜测正反面，该硬币的大小和形状不能忽略，故不能看作质点，故D错误．所以B正确，ACD错误．2.下列说法正确的是（）A. 物体在自由下落时所受的重力小于物体静止时所受到的重力B. 硬度大的物体如果受到的外力较小，则不会发生形变C. 没有施力物体和受力物体，是不会有力的D. 由胡克定律Fkx可知，弹簧的劲度系数与弹力F成正比，与弹簧形变量x成反比【答案】C【解析】【详解】A. 物体的重力与物体的质量和当地的重力加速度有关，与其运动状态无关，故A错误．B. 硬度大的物体如果受到的外力较小，也会发生形变，只是很微小，不易观察到，故B错误．C. 没有施力物体和受力物体，是不会有力，力不能脱离物体而独立存在，故C正确．D.弹簧劲度系数由弹簧本身决定，故D错误．3.下列说法正确的是 （ ） A 有压力一定有摩擦力B. 两个物体有相对运动，它们之间一定有摩擦力C. 摩擦力大小与压力大小成正比D. 有静摩擦力一定有压力 【答案】D 【解析】【详解】A. 只有压力，若接触面光滑或者没有相对运动或运动的趋势；则不一定有摩擦力；故A 错误； B. 根据滑动摩擦力产生原理，可知，当两个接触面粗糙的物体，发生弹性形变，且发生相对运动时，它们之间才一定会产生滑动摩擦力，故B 错误． C.静摩擦力大小与压力无关，故C 错误．D.根据摩擦力产生条件可知，有静摩擦力一定有压力，故D 正确． 4. 关于弹力，下列说法中错误的是( )A. 物体受到的弹力是由于施力物体的形变而产生的B. 弹力产生在直接接触而发生弹性形变的物体之间C. 相互挤压的物体间弹力方向总是跟接触面相垂直D. 相互接触的物体间一定存在弹力 【答案】D 【解析】物体受到的弹力是由于施力物体发生形变而要恢复形变产生的，A 正确，产生弹力的条件是接触的物体间发生形变，所以B 正确，弹力总是垂直物体间接触面的，C 正确，相互接触的物体如果没有发生形变则他们之间没有弹力的作用，D 错误．5.物体做自由落体运动，下落高度为19.6m ，所用时间为（ ） A. 1s B. 2sC. 3sD. 4s【答案】B 【解析】 【详解】根据212h gt可知 .2s t == A. 1s 与分析不符，故A 错误． B. 2s 与分析相符，故B 正确． C. 3s 与分析不符，故C 错误． D. 4s 与分析不符，故D 错误．6. 从静止开始做匀加速直线运动的物体，其在第1s 内、第2s 内、第3s 内的平均速度之比为（ ） A. 1:3:5 B. 1:4:9C. 1:2:3D. 1：√2：√3【答案】A 【解析】试题分析：初速度为零，所以第一秒内的平均速度为：10122a v a +== 第二秒内的初速度为a ，末速度为2a ，所以第二秒内的平均速度为：22322a a v a +== 第三秒内的初速度为2a ，末速度为3a ，所以第三秒内的平均速度为：332522a a v a +== 故123::1:3:5v v v =，故选A考点：考查了匀变速直线运动平均公式的应用 点评：基础题，关键是对公式02v v v +=的正确掌握 7.甲、乙两物体由同一位置出发沿一直线运动，其速度—时间图象如图所示，下列说法正确的是（ ）A. 甲做匀速直线运动，乙做匀变速直线运动B. 两物体两次相遇的时刻分别是在2 s 末和4 s 末C. 乙在头2 s 内做匀加速直线运动，2 s 后做匀减速直线运动D. 2 s 后，甲、乙两物体的速度方向相反 【答案】C 【解析】【详解】A.图像的斜率表示加速度，根据图像可知，乙物体的斜率变化，加速度方向改变，故不是匀变速直线运动，故A 错误．B. 在v -t 图中图象与横坐标围成的面积大小等于物体发生的位移大小，由图可知当t =2s 和t =6s 时，两图象与横坐标围成面积相等，说明发生的位移相等，由于两物体同时从同一地点沿同一方向做直线运动，因此两物体两次相遇的时刻是2s 和6s ，故B 错误．C. 乙在头2 s 内做匀加速直线运动，2 s 后做匀减速直线运动，故C 正确．D.两物体速度始终为正值，方向始终为正方向，速度方向不变，故D 错误．8.如图，篮球架下的运动员原地垂直起跳扣篮，离地后重心上升的最大高度为H ．上升第一个4H所用的时间为t 1，第四个4H所用的时间为t 2．不计空气阻力，则21t t 满足A. 1<21t t <2B. 2<21t t <3C. 3<21t t <4D. 4<21t t <5【答案】C 【解析】【详解】运动员起跳到达最高点的瞬间速度为零，又不计空气阻力，故可逆向处理为自由落体运动．则根据初速度为零匀加速运动，相等相邻位移时间关系)()1:1::2:2....，可知212t t ==+2134t t <<，故本题选C ． 9.如图所示，将一张A4纸（质量可忽略不计）夹在物理书内，书对A4纸的压力为2N ，A4纸与书之间的动摩擦因数为0.3，要把A4纸从书中拉出，拉力至少应为（ ）A. 0.6NB. 1.2NC. 2ND. 2.4N【答案】B 【解析】【详解】A4纸与书上下两个接触面都有滑动摩擦力，则有：f =2μF N =2×0.3×2N=1.2N当拉力等于摩擦力时，拉力最小，所以F =1.2NA. 0.6N 与分析不符，故A 错误．B. 1.2N 与分析相符，故B 正确．C. 2N 与分析不符，故C 错误．D. 2.4N 与分析不符，故D 错误．10.一质点以某初速度沿足够长的光滑斜面向上滑动，其运动情况经仪器监控扫描，输入计算机后得到该运动质点位移方程为x ＝12t －2t 2(m)．则该质点在时间t 从0～4 s 内经过的路程为( ) A. 16 m B. 18 mC. 20 mD. 22 m【答案】C 【解析】试题分析：对比公式2012x v t at =+可得质点的初速度012/v m s =，加速度24/a m s =-，所以质点在1234t s s ==，速度为零，之后反向加速，物体在前3s 内的位移为201182v x m a==，物体在3-4s 内的位移为214122x m m =⨯⨯=，所以该质点在时间t 从0～4 s 内经过的路程为18220s m =+= 考点：考查了匀变速直线运动规律应用【名师点睛】本题属于汽车刹车的变形，汽车刹车问题是一个容易出错的问题，容易出错在不去考虑汽车实际停止时间，一味的带公式计算，所以做汽车刹车，首先先计算出汽车停止时间，然后对比题目上给出的时间，判断在给出的时间内车是不是停止运动了 11.关于摩擦力，下列说法中正确的是（ ）A. 只有静止的物体才受到摩擦力B. 只有运动的物体才受到摩擦力C. 物体受到摩擦力时，一定受到弹力D. 滑动的物体受到的摩擦力可能是静摩擦力 【答案】CD 【解析】【详解】AB. 摩擦力产生的条件是：相互接触、接触面粗糙、有正压力和有相对运动或相对运动趋势，所以相对静止的物体间有可能受到静摩擦力作用，相对运动的物体间有可能受到滑动摩擦力作用，故AB 错误． C. 正压力（弹力）是摩擦力产生的一个必要条件，所以有摩擦力时，一定要有正压力（弹力），有弹力时不一定有摩擦力，故C 正确．D.根据A 选项分析可知：滑动的物体受到的摩擦力可能是静摩擦力，故D 正确．12.某物体由静止开始，做加速度大小为a 1的匀加速直线运动，运动时间为t 1，接着物体又做加速度大小为a 2的匀减速直线运动，经过时间t 2，其速度变为零，则物体在全部时间内的平均速度为 ( )A. 112a tB. 112()2a t t +C. 221122122()a t a t t t ++D.222a t 【答案】ACD 【解析】【详解】物体先做匀速度为零的加速运动后做末速度为零的匀减速运动，作出v -t 图象如图所示：则可知，全程中的最大速度v =a 1t 1，因前后均为匀变速直线运动，则平均速度11220+222a t a t v v ===，故AD 正确；全程的总位移2211221122x a t a t =+，对全程由平均速度公式有()221122122a t a t x v t t t +==+，故C 正确，B错误．所以ACD 正确，B 错误．13.中国书法是一种艺术．在楷书笔画中，长横的写法要领如下：起笔时一顿，然后向右行笔，收笔时略向右按，再向左上回带，该同学在水平桌面上平铺一张白纸，为防止打滑，他在白纸的左侧靠近边缘处用镇纸压住．则下列关于行笔过程中各物体的受力情况( )A. 毛笔对纸的压力可能大于毛笔的重力B. 镇纸受到了向右的静摩擦力C. 白纸受到了3个摩擦力D. 桌面受到了向右的静摩擦力【答案】AD 【解析】【详解】A. 毛笔在书写的过程中受到重力、手的作用力以及纸的支持力处于平衡状态，因为手对毛笔的作用力是未知的，所以不能判断出毛笔对纸的压力与毛笔的重力的关系，可能大于毛笔的重力，故A 正确． B. 白纸始终处于静止状态，所以镇纸始终不受摩擦力镇纸的作用是增大纸与桌面之间的弹力与摩擦力．故B 错误；C. 白纸始终处于静止状态，可知白纸与镇纸之间没有摩擦力，则白纸在水平方向只受到毛笔对白纸的摩擦力以及桌面对白纸的摩擦力，故C 错误．D. 白纸始终处于静止状态，则白纸在水平方向受到毛笔对白纸的向右摩擦力与桌面对白纸的向左摩擦力处于平衡状态；根据牛顿第三定律可知，白纸对桌面的摩擦力的方向向右．故D 正确．14.如图所示，甲、乙、丙、丁是以时间为横轴的从静止开始运动的匀变速直线运动的图象．下列说法正确的是（ ）A. 甲是a －t 图象B. 乙是v －t 图象C. 丙是s －t 图象D. 丁是a －t 图象【答案】CD 【解析】【详解】A. 甲是v -t 图象，其斜率等于加速度，可知，甲的速度均匀减小，做匀减速直线运动，故A 错误． B.乙图像若是v －t 图象，物体并不是从静止开始运动，故B 错误．的C. 若物体做匀加速直线运动，则位移212x at =是一条抛物线，丙是s -t 图象，故C 正确．D. 因物体做匀变速直线运动，加速度a 不随时间变化，所以丁是a -t 图象，故D 正确．15.近来交警部门开展的“车让人”活动深入人心，不遵守“车让人”的驾驶员将受到罚款、扣分的严厉处罚．假设一辆以8 m/s 的速度匀速行驶的汽车即将通过路口，有一老人正在过人行横道，此时汽车的车头距离停车线8 m ．该车减速时的加速度大小为5 m/s 2．则下列说法中正确的是( ) A. 如果驾驶员立即刹车制动，则t ＝2 s 时，汽车离停车线的距离为1.6 m B. 如果在距停车线6 m 处开始刹车制动，汽车能在停车线处停车让人 C. 如果驾驶员反应时间为0.4 s ，汽车刚好能在停车线处停车让人D. 如果驾驶员的反应时间为0.2 s ，汽车刚好能在停车线处停车让人 【答案】AD 【解析】【详解】若汽车做匀减速运动，速度减为零的时间00081.625v t s s s a ---＝＝＝＜，所以刹车到停止的位移20264m 6.4m 210v x a -＝＝＝，汽车离停车线的距离为8m -6.4m=1.6m ，故A 正确；如果在距停车线6m 处开始刹车制动，刹车到停止的位移是6.4m ，所以汽车不能在停车线处刹住停车让人．故B 错误；刹车的位移是6.4m ，所以车匀速运动的位移是1.6m ，则驾驶员的反应时间： 1.6s 0.2s 8t ＝＝，故C 错误，D 正确． 二、实验题16.（1）在“用打点计时器测速度”试验中，电磁打点计时器和电火花计时器都使用________（填“直流”或“交流”）电源．只是电磁打点计时器由学生电源供电，工作电压较_________（填“高”或“低”）． （2）打点计时器接在50Hz 低压交流电源上，如图所示为物体做匀加速直线运动时打出的一条纸带，每打5个点取一个计数点．由图数据可求得：该物体的加速度为____________m/s 2； 打第3个点时该物体的速度为____________m/s ．【答案】 (1). 交流 (2). 低 (3). 0.74 (4). 0.473 【解析】的【详解】(1)[1][2] 电磁打点计时器和电火花计时器都使用交流电源．只是电磁打点计时器由学生电源供电，工作电压较低．(2)[3][4] 由匀变速直线运动的推论：△x =at 2可知，加速度：2225.84 5.10 4.36 3.62100.74m/s 40.1a -+--=⨯=⨯ 做匀变速直线运动的物体在某段时间内的平均速度等于中间时刻的瞬时速度，则2243 4.36 5.10100.473m/s 220.1x v T -+==⨯=⨯ 17.在“探究弹力和弹簧伸长的关系”时，某同学把两根弹簧如图连接起来进行探究．△1△某次测量如图所示，指针示数为___________cm△△2△在弹性限度内，将50g 的钩码逐个挂在弹簧下端，得到指针A△B 的示数L A 和L B 如表1．用表1数据计算弹簧1的劲度系数为_________N/m （重力加速度g=10m/s 2）．由 表1数据____________（填“能”或“不能”）计算出弹簧2的劲度系数．【答案】 (1). 15.96—16.05均可 (2). 12.20---12.80均可 (3). 能 【解析】试题分析：1）刻度尺读数需读到最小刻度的下一位，指针示数为16．00cm ．（2）由表格中的数据可知，当弹力的变化量△F=0．5N 时，弹簧形变量的变化量为△x=4．00cm ，根据胡克定律知：10.512.5/0.04F k N m x V V ＝＝＝．结合L 1和L 2示数的变化，可以得出弹簧Ⅱ形变量的变化量，结合弹力变化量，根据胡克定律能求出弹簧Ⅱ的劲度系数． 考点：探究弹力和弹簧伸长的关系【名师点睛】解决本题的关键掌握胡克定律，知道F=kx ，x 表示形变量，以及知道其变形式△F=k△x ，△x 为形变量的变化量．三、计算题18. 汽车以25 m/s 的速度匀速直线行驶，在它后面有一辆摩托车，当两车相距1000 m 时，摩托车从静止启动做匀加速运动追赶汽车，摩托车的最大速度可达30 m/s ，若使摩托车在4 min 时刚好追上汽车．求： （1）摩托车做匀加速运动的加速度a. （2）摩托车追上汽车前两车相距最大距离x. 【答案】（1）22.25/m s （2）1138m 【解析】试题分析：（1）设汽车位移为1x ，摩托车位移为2x摩托车的加速度为a ，摩托车达到最大速度所用时间为t ，则30/v m s at =＝，100252406000x v t m m =⨯＝＝22203030()30(240)22v v x v t a a a a=+-=+⨯-⨯恰好追上的条件为211000x x m ＝＋ 解得229a=?m/=2.25?m/4s s （2）摩托车与汽车速度相等时两车相距最远 设此时刻为T ，最大距离为max x 由运动学公式得025/v m s aT ＝=解得100T=?s 9． 所以2max 10250=1?000+25T-?m=1?138?m 29aT x = 考点：追及相遇【名师点睛】本题需要注意在追上前，摩托车是不是达到了最大速度，可以假设摩托车在追上之前还没达到最大速度，则由位移关系可得加速度，进而判定此时是否超过最大速度，再根据位移关系列式求解． 19. 一客运列车匀速行驶，其车轮在轨道间的接缝处会产生周期性的撞击．坐在该客车中的某旅客测得从第1次到第16次撞击声之间的时间间隔为10.0 s ．在相邻的平行车道上有一列货车，当该旅客经过货车车尾时，火车恰好从静止开始以恒定加速度沿客车行进方向运动．该旅客在此后的20.0 s 内，看到恰好有30节货车车厢被他连续超过．已知每根轨道的长度为25.0 m ，每节货车车厢的长度为16.0 m ，货车车厢间距忽略不计．求（1）客车运行的速度大小；（2）货车运行加速度的大小．【答案】（1）37.5?m/s v =（2）a ＝1.35 m/s 2【解析】试题分析：（1）设连续两次撞击轨道的时间间隔为Δt ，每根轨道的长度为l ，则客车的速度为l v t =∆ 其中25.0m l =，10.0161t s ∆=- 解得37.5/v m s =（2）设从货车开始运动后t ＝20．0s 内客车行驶的距离为s 1，货车行驶的距离为s 2，货车的加速度为a ，30节货车车厢的总长度为L ＝30×16．0m由运动学公式有1s vt = 2212s at = 由题意，有12L s s =-联立解得21.35m /s a =考点：考查了匀变速直线运动规律的应用【名师点睛】在分析匀变速直线运动问题时，由于这一块的公式较多，涉及的物理量较多，并且有时候涉及的过程也非常多，所以一定要注意对所研究的过程的运动性质清晰，对给出的物理量所表示的含义明确，然后选择正确的公式分析解题20.如图所示，在国庆阅兵式中，某直升机在地面上空某高度A 位置处于静止状态待命，接到上级命令，要求该机10时56分40秒由静止状态沿水平方向做匀加速直线运动．经过AB 段加速后，进入BC 段的匀速受阅区，11时准时通过C 位置，已知s AB =5km ，s BC =l0km ．问：（1）直升机在BC 段的速度大小是多少?（2）在AB 段做匀加速直线运动时的加速度大小是多少?【答案】(1).100m/s (2).1m/s 2【解析】【分析】由题中“要求该机10时56分40秒由静止状态沿水平方向做匀加速直线运动”可知，本题考查匀变速直线运动规律，根据匀变速直线运动公式和物体运动过程分析可解答本题．【详解】（1）设直升机在BC 段的速度大小为v ，则根据题意可得在AB 段时间为t 1 15000m 2v t = 在BC 段时间为t 2210000m vt =12200s t t +=解得100m/s v =（2）根据公式可得22v ax =解得21m/s a =。

深圳市福田区外国语高级中学2021-2022学年高一下学期期中考试地理试卷学校：___________姓名：___________班级：___________考号：___________一、单选题下图为巴西人口密度分布图。

据此完成下面小题。

1、巴西人口分布的特点有( )A.平原多、高原少B.内陆多、沿海少C.东南多、西北少D.北方多、南方少2、图中亚马孙河流域人口密度低,其主要原因是( )A.环境污染严重B.气候湿热C.植被稀疏D.对外交通不便2020年11月1日,中国第七次人口普查正式开启,和以往相比,普遍存在的“人户分离”现象仍然为人口普查带来困难(人户分离是指中华人民共和国境内公民的经常居住地和常住户口登记地二者不一致)。

据此完成下面小题。

3、造成广大务工人员“人户分离”的主要原因有( )①新农村的建设②地区经济发展不平衡③教育水平的区域差异④严格的户籍管理A.②③B.①②C.①③D.②④4、“人户分离”现象包括两种形式,是指“有户(籍)无人”和“有人无户(籍)”,下列地区中,“有户(籍)无人”现象相对普遍的是( )A.浙江省B.四川省C.北京市D.广东省近年来,随着乡村振兴战略的实施以及一系列惠农政策的推出,大批青年带着新的理念和技术回到农村创业,以新担当新作为展现乡村振兴新气象。

据此完成下面小题。

5、返乡创业现象产生的主要原因是( )A.城市就业压力大,收入水平低B.城市生活成本高,生存难度大C.乡村政策优惠大,经济形势好D.农村生活成本低,宜居程度高6、返乡创业的影响是( )A.城市人口回流乡村,城镇化水平降低B.劳动力回流乡村,城市出现“用工荒”C.乡村人口急速增加,人口老龄化加剧D.缓解乡村留守儿童、空巢老人等问题绿洲是沙漠中具有水草的绿地,其土壤肥沃、灌溉条件便利,是干旱地区农牧业发达、人口密集的地方。

下图为新疆地区略图。

据此完成下面小题。

7、制约新疆环境人口容量的最主要因素是( )A.矿产资源B.淡水资源C.经济水平D.科技水平8、可能导致该区域人口容量减小的是( )A.改善交通条件,增加对外联系B.改善生产条件,增加就业机会C.改善生活条件,提高消费水平D.加强教育投入,提高科技水平大阪站站北地区位于大阪市中心,面积0.24km2,曾经为铁路货运站场。

广东省深圳市深圳外国语学校2024—2025学年八年级上学期期中考试数学试卷一、单选题1．如果电影票上的“3排1号”记作()3,1，那么()4,3表示（）A ．3排5号B ．5排3号C ．4排3号D ．3排4号2．一个三角形，其中有两个角分别是50︒和70︒，第三个角是（）A ．60︒B ．70︒C ．80︒D ．90︒3．若32x y =⎧⎨=-⎩是关于x 、y 的方程14mx y -=的一个解，则m 的值是（）A ．4B ．4-C ．8D ．8-4．如图，小手盖住的点的坐标可能是（）A ．()4,1-B ．()1,4--C ．2,3D ．()2,2-5．下列命题中是假命题的是（）A ．平行于同一条直线的两直线互相平行B ．对顶角相等C ．同角的补角相等D ．两条直线被第三条直线所截，同位角相等6．光从空气斜射入水中，传播方向会发生变化．如图，表示水面的直线AB 与表示水底的直线CD 平行，光线EF 从空气射入水中，改变方向后射到水底G 处，FH 是EF 的延长线，若142∠=︒，216∠=︒，则CGF ∠的度数是（）．A ．58︒B ．48︒C ．26︒D ．32︒7．关于一次函数32y x =-+，下列说法正确的是（）A ．图象过点()1,1B ．其图象可由3y x =的图象向下平移2个单位长度得到C ．y 随着x 的增大而增大D ．图象经过第一、二、四象限8．“五一节”期间，数学老师一家自驾游去了离家170千米的某地，下面是他们离家的距离y （千米）与汽车行驶时间x （小时）之间的函数图象．他们出发2.2小时时，离目的地还有（）千米．A ．12B ．24C ．146D ．164二、填空题9．如图，点D 在ABC V 的边BC 的延长线上，若45B ∠=︒，150ACD ∠=︒，则A ∠的大小为．10．若函数25m y x -=+是关于x 的一次函数，则m =．11．已知一次函数21y x =+与y kx =（k 是常数0k ≠）的图像的交点坐标是()1,3，则方程组210x y kx y -=-⎧⎨-=⎩的解是．12．用四张形状、大小完全相同的小长方形纸片在平面直角坐标系中摆成如图所示图案，若点()3,7A ，则点B 的坐标是．13．定义：在平面直角坐标系中，如果直线()0y kx b k =+≠上的点(),M m n 经过一次变换后得到点1,22M n m ⎛⎫ ⎪⎝⎭'，那么称这次变换为“逆倍分变换”．直线24y x =-+与x 轴、y 轴分别相交于点()2,0A ，()0,4B ，点Q 为该直线上一点，若经过一次“逆倍分变换”后，得到的对应点Q '使得ABQ ' 和ABO 的面积相等，则点Q 的坐标为．三、解答题14．解下列方程（组）：(1)8521y x x y -=⎧⎨-=⎩（用代入消元法解）；(2)422237x y x y -=⎧⎨+=-⎩（用加减消元法解）．15．在下面的正方形网格图中，标明了学校附近的一些地方，其中每一个小正方形网格的边长代表1个单位长度．在图中以正东和正北方向分别为x 轴，y 轴正方向，建立平面直角坐标系xOy ．若学校的坐标为()3,1--，体育馆的坐标为()6,1．(1)坐标原点所在的位置为___________；(2)请在图中画出这个平面直角坐标系；(3)超市所在位置的坐标为___________．16．如图，ABC V 中，D 是AC 上一点，过D 作DE BC ∥交AB 于E 点，F 是BC 上一点，连接DF ．若1AED ∠=∠．(1)求证：DF AB ∥．(2)若150∠=︒，DF 平分CDE ∠，求C ∠的度数．17．为打造集休闲娱乐、健身运动、观光旅游、体验自然等于一体的多功能活动区域．深圳湾公园海滨步道现有一段长350米的河边道路需整治，任务由A ，B 两个工程队先后接力完成，A 工程队每天整治15米，B 工程队每天整治10米，共用时30天．根据题意，甲、乙两位同学分别列出了如下不完整的方程组：甲：1510x y x y +=⎧⎨+=⎩ 乙：1510x y x y +=⎧⎪⎨+=⎪⎩ 从甲、乙两位同学所列方程组中任选一组，补全以下解题过程，并利用此方程组求出A ，B 两个工程队分别整治河边道路多少米．解：选择的方程组为____________（填“甲”或“乙”）设x 为_______________________；y 为_________________________．18．综合与实践生活中的数学：古代计时器“漏壶”问题情境某小组同学根据“漏壶”的原理制作了如图1所示的液体漏壶，该漏壶是由一个圆锥和一个圆柱组成的，中间连通，液体可以从圆锥容器中匀速漏到圆柱容器中，实验开始时圆柱容器中已有一部分液体．实验观察下表是实验记录的圆柱容器液面高度()cm y 与时间()h x 的数据根据上述的实践活动，解决以下问题：(1)【探索发现】请你根据表中的数据在图2中描点、连线，用所学过的一次函数的知识求出y 与x 之间的函数表达式；(2)【结论应用】如果本次实验记录开始时间是上午7：00，当时间为下午13：00时，圆柱容器液面高度达到了多少厘米？19．对于实数a ，b 定义两种新运算“※”和“*”：a b a kb =+※，*a b ka b =+（其中k 为常数，且0k ≠），若对于平面直角坐标系xOy 中的点(),P a b ，有点P '的坐标(),*a b a b ※与之对应，则称点P 的“k 衍生点”为点P '．例如：()1,3P 的“2衍生点”为()123,213P '+⨯⨯+，即()7,5P '．(1)点()1,5P -的“3衍生点”的坐标为_______________；(2)若点P 的“5的衍生点”P '的坐标为()18,6-，求点P 的坐标；(3)若点P 的“k 的衍生点”为点P '，且直线PP '平行于y 轴，线段PP '的长度与线段OP 长度相等，求k 的值．20．材料：如图所示，B 、C 、E 三点在同一条直线上，AC CD =，90B E ∠=∠=︒，AC CD ⊥，则有ABC CED △≌△．(1)【小试牛刀】如图1，在平面直角坐标系中，OC BC ⊥且OC BC =，()1,4C ，点C 、B 按顺时针顺序排列，则B 点坐标为_____________；(2)【深入探究】如图2，点M ，E 分别在x 轴、y 轴上，OM OE =，点A 在x 轴负半轴上，连接AE ，作EF AE ⊥且EF AE =，连MF 交y 轴于N ，请猜想线段ON 与线段AM 的数量关系并进行证明；(3)【拓展提升】如图3，)1,0A ，AM x ⊥轴，在直线AM 上有一动点N ，连接ON 并在x 轴上方作OQ ON ⊥且OQ ON =，连接点)1D +与点Q 的线段平行于x 轴，连接QN 交坐标轴于点E ，当2OE =时，直接写出Q 点的坐标．。