衡水市2019届高三上学期第一次月考英语试题+含答案
高三英语试题第一部分听力（共两节，满分30分）第一节（共5小题，每小题1.5分，满分7.5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.Why does the man want to stay in a motel?A.It’s expensive.B.It’s cheap.C.It’s free.2.What are the two speakers going to do?A.Fix a bike.B.Buy a bike.C.Take a bike ride.3.Where should the woman tern left?A.At the first set of traffic lights.B.At the first stop.C.At the first turning.4.What does the woman mean?A.Beijing is a good place to live.B.The two cities have much in common.C.She prefers to live in WashingtonD.C.5.Where is the man from?A.Australia.B.New Zealand.C.Canada.第二节（共１５小题：每小题1.5分,满分22.5分）听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A.B.C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独白前，你将有时间。
阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料，回答第6至7题。
6.What is the woman buying something for?A.For breakfast.B.For lunch.C.For supper.7.How much will the woman pay in total?A.$ 3.00.B.$ 3.50.C.$ 4.00.听第7段材料，回答第8至10题。
8.How old is the woman’s son?A.15.B.16.C.17.9.What does the woman’s son like?A.Playing football.B.Playing basketball.C.Playing baseball.10.What’s the relationship between the woman and the man with brown hair?A.Mother and son.B.Wife and husband.C.Sister and brother.听第8段材料，回答第11至13题。
11.Where does the man to go?A.The railway station.B.The airport.C.The Red Hotel.12.How will the man get to his destination?A.By busB.By car.C.By train.13.How far will the man have to go back to the traffic lights?A.Two miles.B.Three miles.C.Four miles.听第9段材料，回答第14至17题。
14.Why is the man calling the police station?A.His car was stolen.B.He found a stolen car.C.He wanted to buy a new car.15.What’s the number of the car?A.BWE4856.B.BWE5486.C.BWE4586.16.What does the car look like?A.Yellow and old.B.Blue and nearly new.C.Yellow and nearly new.17.Where does the man live?A.At Eaton Road.B.At London Road.C.At Baxter Company.听第10段材料，回答第18至20题。
18.Who will set the table?A.Suzy.B.Peggy.C.Billy.19.When will the woman speaker get home?A.At6:30p.m.B.At9:15p.m.C.At10:30p.m.20.How many children does the woman speaker have?A.Four.B.Five.C.Six.第二部分阅读理解（共两节，满分40分）第一节（共15小题;每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在题卡上将该项涂黑。
AWorlds of FunLocation:Worlds of Fun is located off Highway435in Kansas City,Missouri.History:Worlds of Fun was opened on May26,1973,at a cost of25million dollars. Loosely themed around the Jules Verne book,Around the World in Eighty Days,the parkwas founded by Hunt Midwest Company.In1982,Hunt Midwest bought a nearby waterpark, Oceans of Fun.In2013,Worlds of Fun and Oceans of Fun were combined to a one ticket admission,providing all guests with access to235acres of amusement and water rides.Hours:Worlds of Fun is open from April through Halloween.Tickets:Buy and print online.Always try to buy your tickets in advance,to save time when you get to the park.Reservations:Worlds of Fun sells“Fast Lane”cards that save riders’time by allowing them to bypass the majority of wait for most of rides and attractions including Mamba,Prowler,and Patriot.Ride as many times as you want all day long.Strategy:Most visitors tend to begin the day with Prowler,the hottest attraction in the e that tendency to your advantage and head to the Patriot first.After that,try the Dragons.Then work your way back to the Prowler.After riding the Prowler,there is only one coaster left,Mamba.Hit it next.If the park is not very crowded,you can ride Boomerang on the way to Mamba.After riding Mamba, head back for a ride on the Wolf.By then you will have tried most of the popular rides and attractions in the shortest possible time.News:In2017,Worlds of Fun is adding Steel Hawk,a ride that will take guests up301feet in the air and spin them at a45-degree angle for a60-second flight. Wait to have a try!21.When did Hunt Midwest’s two parks start to share one ticket?A.In1937B.In2013C.In1982D.In201422.With a“Fast Lane”card,the visitor can_________.A.save some moneyB.buy tickets onlineC.avoid lining up for longD.enjoy all the rides for free23.What is talked about in the part of Strategy?A.The hottest attractions in the park.B.The highest ride in the park.C.The most popular tour season.D.The best visiting route.24.According to the passage,by beginning with______a visitor can try most of thepopular rides and attractions in the shortest possible time.A.ProwlerB.DragonsC.PatriotD.WolfBFor only the second time in her life,actress Olivia Holt,15,traveled to NewYork—this time to catch the award-winning Disney Broadway show Newises.Adriana Palmieri,the reporter from Time for Kids（TFK）,was there with Olivia and interviewed Olivia about the experience and her career.“I think the show is inspiring other people to make a big influence on the world today,”Olivia told TFK.Olivia is no stranger to the stage.This young star started acting at age three, and progressed from a small stage to a hit TV show,Disney XD’s Kickin’It.But even today she gets pre-show jitters（紧张）.She conquers her nervousness by staying, positive.“I end up just keeping my head up and seeing where it takes me and usually, it takes me to a good place where I’m not so nervous,”Olivia said.Olivia grew up in Mississippi but moved to Los Angeles recently to pursue her career.“It was a big transition for me because I grew up in a small town,”Olivia said.But now,she’s living her dream as an actress.When asked about advice for other aspiring actors,the young performer said,“Just stay positive and stay confident.If you know that you’re powerful enough to conquer your fears and stay happy,that will lead you in the right way.”Olivia regularly stars on a Disney XD show called Kickin’It.She plays the fearless black belt Kim.“I think she is such an incredible girl and I look up to her.”Olivia said about her character,“She is so powerful and confident.”25.Why did Olivia go to New York?A.To go on a holiday.B.To attend an interview.C.To enjoy a showD.To meet her friends26.Paragraph two mainly tells us that________.A.how Olivia does with nervousnessB.Olivia began to act at a young ageC.how Olivia became famousD.Olivia doesn’t appear on stage any more27.What may be important to Olivia in her acting career?A.patience and bravery.B.confidence and calmness.C.chances and cleverness.D.challenges and kindness.28.The underlined word“she”in the last paragraph refers to________.A.OliviaB.KimC.Kickin’ItD.Disney XDCMusic is magic!Music speaks louder than words and it is a“language”that the whole world can understand.A piece of music can produce a response in the heart andmind.Like feeling an electrical current or receiving a personal radio signal,music has a spiritual effect on a person.Different kinds of music influence people in different ways.I have listened to music all my life.When I was twelve years old,the Beatles came to America and my whole world opened up.Maybe young people today cannot understand the influence of the Beatles when they exploded across America.Their influence changed the way we dressed,looked,acted and spoke...even our culture. The Beatles arrived in America from the UK just under three months after the assassination(暗杀)of President John Kennedy,which had put America into a great depression.And the freshness and lively spirit of the Beatles was exactly what the country needed to refresh itself.Music links the heart of the hearer with that of the composer.This means that it mixes the spirit of the composer with your spirit when you listen to it.And the music can take your spirit out of your body and transport you into another world. Music has a great way of touching people.Music can make you laugh,cry or shout. It's also a great source of inspiration.Try this one day and notice what happens:make yourself a cup of tea,sit on your sofa and play one of your favorite songs.Close your eyes,and soon you'll find yourself creating vivid mental images—matching the music that you are listening to. 29．Music has magical power because it________.A.is a kind of languageB.can be played much louder than wordsC.receives a personal radio signalD.can influence a person's spirit30．One can learn from the second paragraph that the Beatles________．A.were the biggest band in American historyB.are not accepted by modern American peopleC.appeared at a special time in American politicsD.represented the roots of American culture31．One will do all of the following while listening to music EXCEPT________．A.feeling very refreshedB.having emotional changesC.painting some vivid picturesD.feeling inspired by the composer32．It can be inferred from the passage that the author________．A.has been influenced by the BeatlesB.enjoys drinking tea in his spare timeC.admires President John Kennedy very muchD.likes to match his own feeling with that of the composerDAmerica is a mobile society.Friendships between Americans can be close and real, yet disappear soon if situations change.Neither side feels hurt by this.Both may exchange Christmas greetings for a year or two,perhaps a few letters for a while—then no more.If the same two people meet again by chance,even years later, they pick up the friendship.This can be quite difficult for us Chinese to understand, because friendships between us flower more slowly but then may become lifelong feelings,extending sometimes deeply into both families.Americans are ready to receive us foreigners at their homes,share their holidays, and their home life.They will enjoy welcoming us and be pleased if we accept their hospitality easily.Another difficult point for us Chinese to understand Americans is that although they include us warmly in their personal everyday lives,they don’t show their politeness to us if it requires a great deal of time.This is usually the opposite of the practice in our country where we may be generous with our time.Sometimes, we,as hosts,will appear at airports even in the middle of the night to meet a friend. We may take days off to act as guides to our foreign friends.The Americans,however, express their welcome usually at homes,but truly can not manage the time to do a great deal with a visitor outside their daily routine.They will probably expect us to get ourselves from the airport to our own hotel by bus.And they expect that we will phone them from there.Once we arrive at their homes,the welcome will be full, warm and real.We will find ourselves treated hospitably.For the Americans,it is often considered more friendly to invite a friend to their homes than to go to restaurants,except for purely business matters.So accept their hospitality at home!33．The writer of this passage must be______.A.an AmericanB.a ChineseC.a professorD.a student34．Which of the following statements is TRUE according to the passage?A.Friendships between Americans usually extend deeply into their families.B.Friendships between Americans usually last for all their lives.C.Americans will continue their friendships again even after a long break.D.Americans always show their warmth even if they are very busy.35．A suitable title for this passage would probably be“______”.A.Friendships between ChineseB.Friendships between AmericansC.Americans’hospitalityD.Americans’and Chinese’s views of friendships第二节（共5小题；每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
重庆市渝高中学2019届高三上学期第一次月考理科综合化学---精校Word版含答案
(3)X的结构简式为；反应④的产物 有多种同分异构体，其中既属于芳香醇类又属于酚类，且核磁共振氢谱有7个峰，峰面积之比为2：1：1：1：1：1：1的结构简式为(填一种)。
Ⅱ
一定条件下
反应
(5)
(6)
a
c
(7)
试用平衡移动原理解释该曲线的变化规律
28．（14分）某学生研究小组欲探究CuSO4溶液与Na2CO3溶液混合产生的蓝绿色沉淀组成，小组进行下列实验探究。
【提出假设】
假设1：沉淀为Cu(OH)2
假设2：沉淀为________
假设3：沉淀为碱式碳酸铜[化学式可表示为nCuCO3•mCu(OH)2]
35
卤族元素的单质和化合物在生产生活中有重要的用途。
（
（
（
（
（
（
①原子坐标参数：表示晶胞内部各微粒的相对位置。下图是
②晶胞参数：描述晶胞的大小和形状。已知
Ca
36．【化学——选修5：有机化学基础】(15分)
以苯和乙烯为原料最终可以合成香料——香兰素。其合成路线如下：
(1)香兰素中含有的官能团名称为醚键、、。
⑧HCl、H2SO4、HNO3均具有氧化性，都是氧化性酸
A.全部正确B.①②⑤⑧C.②③⑥D.④⑥⑦
9.
A.NF3的电子式为
B．NH4F分子中仅含离子键
C．在制备NF3的反应中，NH3表现出还原性
D．在制备NF3的反应中，各物质均为共价化合物
10.NA表示阿伏加德罗常数。下列说法中正确的是
A．Cu和足量的稀硝酸反应产生4．48L气体时，转移的电子数为0．6NA
①氯水、氨水、水玻璃、水银、福尔马林、淀粉均为混合物
江西省南昌市第十中学2021届高三下学期第一次月考英语试题 Word版含答案
南昌十中2020－2021学年下学期第一次月考高三英语试题说明：本试卷分第I卷(选择题)和第Ⅱ卷(非选择题)两部分，全卷满分150分。
考试用时120分钟，注意事项：考生在答题前请认真阅读本注意事项及各题答题要求。
1．答题前，请您务必将自己的姓名、准考证号或IS号用书写黑色字迹的0．5毫米签字笔填写在答题卡和答题纸上。
2．作答非选择题必须用书写黑色字迹的0．5毫米签字笔写在答题纸上的指定位置，在其它位置作答一律无效。
作答选择题必须用2B铅笔把答题卡上对应题目的答案标号涂黑。
如需改动，请用橡皮擦干净后，再选涂其它答案，请保持卡面清洁和答题纸清洁，不折叠、不破损。
3．考试结束后，请将答题纸交回。
第Ⅰ卷（选择题）第一部分听力（共两节，满分30分）第一节（共5小题；每小题1.5分，满分7.5分）听下面5段对话。
每段对话仅读一遍。
例：How much is the shirt?A. £ 19. 15.B. £ 9. 18.C. £ 9. 15.1. What do we know about the man?A. He is a smoker.B. He hates smoking.C. He likes the manager.2. How far is it from Beijing to Handan?A. About 200 km.B. About 300 km.C. About 500 km.3. What will the speakers do next?A. Go shopping.B. Go walking.C. Go swimming.4. How does the woman think of making cakes?A. Difficult.B. Easy.C. Interesting.5. What is the probable relationship of the speakers?A. Husband and wife.B. Colleagues.C. Doctor and patient.第二节（共15小题；每小题1.5分，满分22.5分）听第6段材料，回答第6、7题。
2019高考英语三轮冲刺大题提分大题精做15书面表达开放类 含答案解析
书面表达开放类精选大题1.【2019届黑龙江省牡丹江市第一高级中学高三上学期开学摸底考试】假如你是李华，你的父母最近计划生第二胎。
给你校的外籍老师Lucy写信谈谈你的看法。
要求：字数120左右；参考词汇：sibling 兄弟姐妹。
Dear Lucy,I can’t wait to tell you the decision my parents have just made._____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ______________________________________________________________________Yours,Li Hua 【答案】Dear Lucy,I can’t wait to tell you the decision my parents have just made. They plan to give birth to a second child. How exciting it is!Being the only child in the family, most teenagers like me grow up lonely, which will do harm to our psychological health. However, things will change from now on. I am going to have a sibling to play with and share everything with. I will help my parents look after my sibling when he/she is born, ensuring that he/she grows up happily with love and affection all around.However, I am afraid that I know little about how to take good care of a baby and how to set a good example to my future sibling. Could you give me some advice? I am looking forward to your early reply.Yours,Li Hua 【解析】本篇书面表达属于应用文，要求写一封书信。
2019届高三英语二轮复习书面表达专项练习10应用文写作_道歉信与投诉信(含答案)
应用文写作-道歉信与投诉信1、假设你叫李华,你的一个朋友Joe刚从美国归来,邀请你参加本周日在他家举办的生日聚会,但你不能参加,请你根据以下要点给他写一封道歉信:1. 表达想参加的意愿;2. 忙于准备遵义四中的第一次月考(Zunyi No.4 High School’s Monthly Exam 1);3. 由于感冒,身体不适;4. 表示歉意并另约时间。
注意:可适当添加细节以使行文连贯;词数100左右,开头和结尾已给,不计入总字数。
Dear Joe,I’m extr emely sorry to tell you that____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ Best wishes.Yours,Li Hua2、假如你是张莹,上周在外教Mr.John的口语课上使用手机被老师发现,手机被没收。
河北省衡水市2012届高三第一次质量检测英语试题
河北衡水市普通高中2011—2012学年度高三年级教学质量监测英语试题第一卷(115分)第一部分：听力（共两节，满分30分）做题时，先将答案划在试卷上。
录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节（共5小题；每小题1.5分，满分7.5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1．Who will be absent from the party?A．Jessica. B．Linda. C．Rose.2．What do we know about the woman?A．She is very busy.B．She has more free time than the man.C．She will study English 4 hours a day.3．When do Londoners usually start work?A．At 7:30 in the morning.B．At 8:30 in the morning.C．At 6:30 in the morning.4．Where will the woman go first?A．T o her house. B．T o a bank. C．To a telephone booth. 5．What does the woman suggest the man do?A．Join the meeting B．Wait for the bar to open C．Buy a drink somewhere else．第二节（共15小题；每题1．5分，满分22．5分）听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A，B，C三个选项中选出最佳选项，并标在试卷的相应位置。
重庆市第八中学校2024届高三上学期高考适应性月考(三)英语试卷(含答案)
重庆市第八中学校2024届高三上学期高考适应性月考（三）英语试卷学校：___________姓名：___________班级：___________考号：___________ 一、阅读理解One-to-one English tutoring personalised to youEnglish Score Tutors is the British Council’s one-to-one tutoring platform for 13-to 17-year-olds.●Build your confidence with fun sessions where you can learn at your own pace.●Find the perfect . tutor for you ——choose from our list of qualified tutors.●Study when you want, with sessions available 24/7.●Improve with personalised sessions designed around you and your goals.Learn at your own paceWe understand everyone has their own ways of learning. Sessions on English Score Tutors are personalised to your level, needs and goals. Together with your chosen tutor, you will create a learning plan that focuses on the areas important to you.Our tutors will get the best from you because each session is tailored to you as an individual. Your sessions will be enjoyable and give you plenty of time to practise speaking.Flexible learningChoose sessions at times that suit you. Fit them in around school, weekend activities and holidays, so that you can learn when you want to. You will get access to a personalised dashboard to keep track of your progress any time.$1 introduction sessionWe offer a 30-minute introduction session where you can choose a tutor and get a feel for how sessions will work. After this introductory session, you can decide if you would like to purchase a pack of lessons to continue learning. Try your first session for just $1.●Choose a tutor that you would like to study with.●Understand your current language level and areas where you can improve.●Get a personalised learning plan.1、Who might attend English Score Tutors classes?A. A preschool child.B. A university student.C. A middle-school student.D. A working woman.2、What can you do to understand how the sessions work?A. Call the information centre.B. Write a letter of inquiry.C. Send an email to ask.D. Buy an introduction session.3、Which column of a website is this text probably taken from?A. Take an Exam.B. UK-China Youth Exchange Program.C. Learn English Online.D. Our Work in Arts.Between flights, as I sat in the Denver airport, a young man approached me. He tilted (倾斜) his head toward the chair next to mine, then toward my suitcase blocking the chair. There were many open seats. Why this one? I thought. When he sat, I noticed the markings on his bag and his faded uniform. I asked. He nodded. I bowed my head slightly. Then he asked where I was headed.“Home.”Hands on his knees, he told me he was on vacation and was going home to surprise his mother. I asked how long it had been since he’d seen her (five years). I asked what he was looking forward to at home(a shower). He scanned the room cautiously as he talked. When he looked at me, his eyes kept no distance. He seemed to want something from me. I could not tell what it was.He said it was hard to stop scanning for danger. Yesterday, he’d been in the desert. Fellow soldiers had been blown into pieces around him. Today, he was in an airport trying to understand anger over flight delays and the rush for coffee. He didn’t know how to be, here in this place.I thought maybe I understood. One evening after spending hours with a friend who just lost her son, I went to my daughter’s performance. In the crowded lobby, mothers complainedfelt disoriented, distant. I told the soldier about this. He breathed deeply and showed a small smile.He’d seen the raw and unbearable. But he did not know how to tell us. This was what he needed from me, I realized. He did not want the seat beside mine. He wanted to sit with me.I did not know his name, how his surprise would turn out, how long his tour of duty would last. We sat together until our flights were called and then said goodbye, two strangers heading home.4、How did the author feel when the soldier approached him?A. Angry.B. Confused.C. Respectful.D. Joyful.5、Why did the man keep scanning the room?A. He attempted to find a coffee shop.B. He formed the habit of staying alert.C. He was distractedD. He was checking6、What does the word “bemoaned” mean in paragraph 5?A. Showed respect for.B. Added fuel to.C. Expressed dissatisfaction with.D. Took pride in.7、What did the soldier really want?A. My support for the soldiers.B. My knowledge of the cruelty of war.C. A chance to get away from the battlefield.D. A brief sense of securitySince 2001, robotic tools have revolutionized the practice of surgery. They have greatly reduced the stress and physical demands normally placed on surgeons and have made certain procedures possible.One example is “keyhole surgery”, or minimally invasive (微创) surgery, which normally requires surgeons to stand at awkward angles and make difficult movements with their hands to make a cut inside the patient. But in June 2022, surgeon James Ansell used 3D glasses and two sticks to control four robotic arms to perform a procedure to remove a cancerous tumor. “My colleague said... that this feels like cheating,” Ansell said to The Guardian.Another area of surgery that has had major technological breakthroughs in recent years is telesurgery. Normally, telesurgery relies on a wired connection due to concerns of harming the patient should a wireless connection drop during surgery, but China made several advancements in wireless telesurgery based on 5G technology.China achieved the first 5G-based remote operation in March 2019 involving a brain surgery procedure between a surgeon in Sanya and a patient in Beijing, a distance totaling nearly 3,000 kilometers. More recently, a team of surgeons successfully completed remote micron-level eye surgery on rabbits located in a different city. The rabbits were at the Sun Yat-sen University in Guangzhbù, Guangdon g province, whereas the surgical team who operated on them via a 5G robot were at the Hainan Eye Hospital in Haikou, Hainan province.Looking to the future, people hope that remote surgery could become commonplace to help heal injured soldiers on the battlefield while keeping surgeons at a safe distance. Some even believe that robotic systems, combined with AI, could one day exceed human surgeons.But, given current technological limitations and the high costs of these robots which can cost millions of dollars, the complete robot takeover of surgery may still be a while off.8、What does the “keyhole surgery” example intend to show?A. Great complexity of robotic surgery.B. Physical challenges surgeons face.C. Surgical progress enabled by robotic tools.D. Urgent need for advanced 3D technology.9、What significant achievement did China make in the field of telesurgery?A. Achieving remote surgery using a wired connection.B. Completing successfully remote eye surgery on humans.C. Conducting a 5G-based remote operation on rabbits overseas.D. Performing the first wireless brain surgery with 5G technology.10、What can be inferred from the text about robots in the medical field?A. They are quite affordable.B. They are currently in high demand.C. They have not been widely used.D. They have gone beyond human capabilities.11、What is a suitable title for the text?A. Robotic Surgery Uses 5G TechnologyB. Keyhole Surgery Benefits Human BeingsC. Autonomous Robot Achieves Great ProgressD. Medical Robotics Revolutionizes Surgery Method2500 years ago, Socrates (苏格拉底) complained that writing would harm students.Today a different heated debate is ongoing about the dangers of another technology —computers — and the typing people do on them. As primary-school pupils and PhD hopefuls return for a new school year in the northern hemisphere, many will do so with a greater-than-ever reliance on computers to take notes and write papers. Some parents of younger students are frustrated that their children are not just encouraged but required to carry laptops to class. Lot s of teachers complain of uncontrolled distraction in classrooms, with students reading and messaging instead of listening to lectures.A line of research shows the benefits of an “innovation” prior to computers: hand-writing. Studies have found that writing on paper can improve everything from recalling a random series of words to facilitating a better conceptual grasp of complicated ideas. For learning material by rote, from the shapes of letters to the quirks of English spelling, the benefits of using a pen or pencil lie in how the motor and sensory memory of putting words on paper reinforces that material. The arrangement of squiggles (不规则的曲线) on a page feeds into visual memory: people might remember a word they wrote down in French class as being at the bottom-left on a page, for example.Another one of the best-demonstrated advantages of writing by hand seems to be in superior note-taking. In a study from 2014 by Pam Mueller and Danny Oppenheimer, students typing wrote down almost twice as many words and more passages word for word from lectures, suggesting they were not understanding so much as rapidly copying the material. Hand-writing, which takes longer for nearly all university-level students, forces note-takers to synthesize ideas into their own words. This aids conceptual understanding at the moment of writing. Besides, those taking notes by hand also perform better on tests when students are later able to study from their notes.Socrates may or may not have had a point about the downsides of writing. But no one would remember, or much less care, if his student Plato had not noted his teachings down for the benefit of later generations.12、Why do teachers complain?A. Because students carry laptops to class.B. Because students cause distraction in class.C. Because students are not focused in class.D. Because students are suffering from sight loss.13、How does hand-writing benefit students?A. It makes students understand concepts better.B. It helps students develop better imagination.C. It improves students’ writing ability.D. It saves students’ note-taking time.14、What is the author’s attitude to hand-writing?A. Supportive.B. Disapproving.C. Neutral.D. Indifferent.15、What is the main idea of the passage?A. In an age of typing handwriting still mattersB. Handwriting helps studentsC. Handwriting has big advantages over typingD. Making the handwriting二、七选五16、How to Remember the FutureOne of the trickiest recall tasks is called prospective memory: remembering what you want or need to do, in time to do it. ①______ A thought occurs, we resolve to act on it “soon” and then, when the time comes, the idea’s gone.Diaries and alarms help, but your imagination plays a vital role in holding onto brief thoughts and keeping you in control of your future plans. For example, don’t just have an idea about going to the bank. ②______ Perhaps you’re leaving the bank loaded with shiny gold bars.But that’s only the beginning. This process allows you to do much more than just reminding yourself to do things. ③______ Then, create a vivid “memory” of how you’d like it to go, and crucially, how you’d like to feel. Creating “memories” like this gives you time to think about practical arrangements and spot any problems before they arise. A part of your brain will still be processing the details even when you’re thinking about other things.Here are some tips:●Experiment to see if you prefer viewing this “mental movie” through your own eyes, or by watching yourself from someone else’s point of view.●④______ Fast forward any parts you find easy, and go in slow motion for the bits that need extra work.●Use your full range of senses. ⑤______A. Control the time frame.B. Minimize all the feelings.C. You can use it to do them better so try it now.D. Engaging them all will create a rich, multi-dimensional memory.E. Paint a mental picture of yourself there and actively make it memorable.F. Pick an important event around the corner: a driving test or a public speech.G. The reason it often fails is that we have an idea in mind but don’t make it into a memory.三、完形填空（15空）Scott Macaulay has been cooking Thanksgiving dinner in his hometown, Melrose, Massachusetts, for the past 33 years in a row. “One year, a man who’d just lost his wife puton her apron.” Macaulay said. “That’s what this is all about. It’s not about the food. It’s aboutThanksgiving alone.”“I purchased all the stuff and made everything myself at my church,” he said. “And itcalling his office phone number that’s printed in the local paper.strangers, to year 33 as family. He organizes, pays for, cooks, and serves, almost all of it17、A. tiredness B. openness C. togetherness D. mindfulness18、A. grew B. worked C. began D. ran19、A. deprived of B. opposed to C. accustomed to D. faced with20、A. activities B. circumstances C. areas D. categories21、A. advertisement B. sign C. list D. notice22、A. invitations B. details C. donations D. suggestions23、A. observe B. plan C. host D. witness24、A. sorry B. sad C. rich D. right25、A. real B. delicious C. traditional D. great26、A. keep it up B. do it up C. pack it up D. tidy it up27、A. walked B. gathered C. lived D. looked28、A. affordable B. annual C. international D. upcoming29、A. teaching B. encouraging C. persuading D. warning30、A. finds B. follows C. feeds D. represents31、A. secretly B. randomly C. independently D. indirectly四、短文填空32、A video series named Escape from the British Museum was released on Wednesday, sparking a lot of discussion in China’s social media recently. ①______(direct) by two Chinese vloggers, the three-episode series tells the story of ②______ a Chinese cultural relic escapes from the British Museum and finds ③______ (it) way back to China.In ④______ video series, a female vlogger plays the role of an ancient Chinese jade teapot, while her male partner is a journalist ⑤______ helps the artifact return to China.The videos ⑥______ (inspire) by a netizen who suggested making a video about Chinese cultural relics returning home from the UK. The duo went to the UK in June andspent three months ⑦______ (shoot) the video. They said the story is based on documented⑧______ (fact) and aims to draw attention to the Chinese cultural relics held abroad.⑨______ (current), the museum has a total of 23,000 Chinese relics, while about 2,000 Chinese relics are ⑩______ display. It appears to have struck a chord in China after first being released by independent vloggers on Douyin, China’s equivalent to TikTok.五、书面表达33、假定你是国际学校广播站英语栏目“Nature is speaking”负责人李华。
江西省吉安市遂川中学2019—2020学年高一上学期第一次月考英语试卷含答案
- 1 - 遂川中学2022届课改班第一次考试英语试题 命题人： 第一部分 听力（共两节，满分 30 分） 第一节 听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。 1. What time is it now? A. 11:30 am. B. 11:00 am. C. 10:30 am. 2. How did the woman get home yesterday? A. By bike. B. By bus. C. By subway. 3. What does the man like doing in his free time? A. Swimming. B. Reading. C. Fishing. 4. What does the man want to buy? A. A white hat B. A green hat. C. A grey hat. 5. What is the probable relationship between the speakers? A. Boyfriend and girlfriend. B. Customer and waiter. C. Boss and employee. 第二节 听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读两遍。 听下面一段对话，回答第6和第7两个小题。 6. What did the man think of the lecture? A. It was boring. B. It was interesting. C. It was useful. 7. What is the woman interested in? A. Business. B. War history. C. American history. 听下面一段对话，回答第8和第10三个小题。 8. Why does Steve look pale?(苍白) A. He was fired by his boss. B. He can't get along with his boss. C. He didn't sleep last night. 9. What do we know about Steve? A. His boss is very kind. B. He is a lazy employee. C. He hasn' t finished his projects yet. 听下面一段对话，回答第10至第12三个小题 10. What will the woman do during the holiday? A. Stay at home. B. Visit her uncle. C. Attend a party. 11. When will the sports meeting be held? - 2 -
城区第一高级中学2018-2019学年高三上学期11月月考数学试卷含答案
城区第一高级中学2018-2019学年高三上学期11月月考数学试卷含答案一、选择题1． 设公差不为零的等差数列{}n a 的前n 项和为n S ，若4232()a a a =+，则74S a =（ ） A ．74 B ．145C ．7D ．14 【命题意图】本题考查等差数列的通项公式及其前n 项和，意在考查运算求解能力.2． 在正方体ABCD ﹣A 1B 1C 1D 1中，点E ，F 分别是棱AB ，BB 1的中点，则异面直线EF 和BC 1所成的角是（ ）A ．60°B ．45°C ．90°D ．120°3． 设{}n a 是递增等差数列，前三项的和为12，前三项的积为48，则它的首项是（ ）A ．1B ．2C ．4D ．6 4． 下列函数中，在区间（0，+∞）上为增函数的是（ ） A ．y=x ﹣1B ．y=（）x C ．y=x+D ．y=ln （x+1）5． 若方程x 2﹣mx+3=0的两根满足一根大于1，一根小于1，则m 的取值范围是（ ）A ．（2，+∞）B ．（0，2）C ．（4，+∞）D ．（0，4）6． 甲、乙两所学校高三年级分别有1 200人，1 000人，为了了解两所学校全体高三年级学生在该地区六校联考的数学成绩情况，采用分层抽样方法从两所学校一共抽取了110名学生的数学成绩，并作出了频数分布统计表如下： 甲校：乙校：则x ，y A 、12,7 B 、 10,7 C 、 10，8 D 、 11,97． 曲线y=e x 在点（2，e 2）处的切线与坐标轴所围三角形的面积为（ ） A ． e 2 B ．2e 2 C ．e 2D ． e 2班级_______________ 座号______ 姓名_______________ 分数__________________________________________________________________________________________________________________8． 若复数z=2﹣i （ i 为虚数单位），则=（ ）A ．4+2iB ．20+10iC ．4﹣2iD ．9． 在正方体1111ABCD A B C D -中，M 是线段11AC 的中点，若四面体M ABD -的外接球体积为36p ， 则正方体棱长为（ ）A ．2B ．3C ．4D ．5【命题意图】本题考查以正方体为载体考查四面体的外接球半径问题，意在考查空间想象能力和基本运算能力． 10．在数列{}n a 中，115a =，*1332()n n a a n N +=-∈，则该数列中相邻两项的乘积为负数的项是 （ ）A ．21a 和22aB ．22a 和23aC ．23a 和24aD ．24a 和25a11．（2011辽宁）设sin （+θ）=，则sin2θ=（ ）A ．﹣B ．﹣C ．D ．12．已知f （x ）=，则f （2016）等于（ ）A ．﹣1B ．0C ．1D ．2二、填空题13．将一个半径为3和两个半径为1的球完全装入底面边长为6的正四棱柱容器中，则正四棱柱容器的高的最小值为 ．14．向区域内随机投点，则该点与坐标原点连线的斜率大于1的概率为 ．15．直线ax ﹣2y+2=0与直线x+（a ﹣3）y+1=0平行，则实数a 的值为 ．16．【启东中学2018届高三上学期第一次月考（10月）】已知函数()f x xlnx ax ＝－＋在()0e ，上是增函数，函数()22xa g x e a ＝－＋，当[]03x ln ∈，时，函数g （x ）的最大值M 与最小值m 的差为32，则a 的值为______.17．在极坐标系中，点（2，）到直线ρ（cos θ+sin θ）=6的距离为 ．18．在ABC ∆中，已知sin :sin :sin 3:5:7A B C =，则此三角形的最大内角的度数等 于__________.三、解答题19．在△ABC 中，cos2A ﹣3cos （B+C ）﹣1=0． （1）求角A 的大小；（2）若△ABC的外接圆半径为1，试求该三角形面积的最大值．20．已知函数f（x）=cos（ωx+），（ω＞0，0＜φ＜π），其中x∈R且图象相邻两对称轴之间的距离为；（1）求f（x）的对称轴方程和单调递增区间；（2）求f（x）的最大值、最小值，并指出f（x）取得最大值、最小值时所对应的x的集合．21．某校高一年级学生全部参加了体育科目的达标测试，现从中随机抽取40名学生的测试成绩，整理数据并按分数段，，，，，进行分组，假设同一组中的每个数据可用该组区间的中点值代替，则得到体育成绩的折线图（如下）．（Ⅰ）体育成绩大于或等于70分的学生常被称为“体育良好”．已知该校高一年级有1000名学生，试估计高一年级中“体育良好”的学生人数；（Ⅱ）为分析学生平时的体育活动情况，现从体育成绩在和的样本学生中随机抽取2人，求在抽取的2名学生中，至少有1人体育成绩在的概率；（Ⅲ）假设甲、乙、丙三人的体育成绩分别为，且分别在，，三组中，其中．当数据的方差最大时，写出的值．（结论不要求证明）（注：，其中为数据的平均数）22．已知a，b，c分别是△ABC内角A，B，C的对边，sin2B=2sinAsinC．（Ⅰ）若a=b，求cosB；（Ⅱ）设B=90°，且a=，求△ABC的面积．23．已知P（m，n）是函授f（x）=e x﹣1图象上任一于点（Ⅰ）若点P关于直线y=x﹣1的对称点为Q（x，y），求Q点坐标满足的函数关系式（Ⅱ）已知点M（x0，y0）到直线l：Ax+By+C=0的距离d=，当点M在函数y=h（x）图象上时，公式变为，请参考该公式求出函数ω（s，t）=|s﹣e x﹣1﹣1|+|t﹣ln（t﹣1）|，（s∈R，t＞0）的最小值．24．已知平面直角坐标系xoy中的一个椭圆，它的中心在原点，左焦点为，右顶点为D（2，0），设点A（1，）．（1）求该椭圆的标准方程；（2）若P是椭圆上的动点，求线段PA的中点M的轨迹方程；（3）过原点O的直线交椭圆于B，C两点，求△ABC面积的最大值，并求此时直线BC的方程．城区第一高级中学2018-2019学年高三上学期11月月考数学试卷含答案（参考答案） 一、选择题1． 【答案】C.【解析】根据等差数列的性质，4231112()32(2)a a a a d a d a d=+⇒+=+++，化简得1a d =-，∴1741767142732a dS d a a d d⋅+===+，故选C.2． 【答案】A【解析】解：如图所示，设AB=2，则A （2，0，0），B （2，2，0），B 1（2，2，2），C 1（0，2，2），E （2，1，0），F （2，2，1）． ∴=（﹣2，0，2），=（0，1，1），∴===，∴=60°．∴异面直线EF 和BC 1所成的角是60°． 故选：A ．【点评】本题考查了利用向量的夹角公式求异面直线所成的夹角，考查了推理能力与计算能力，属于中档题．3． 【答案】B 【解析】试题分析：设{}n a 的前三项为123,,a a a ，则由等差数列的性质，可得1322a a a +=，所以12323a a a a ++=， 解得24a =，由题意得1313812a a a a +=⎧⎨=⎩，解得1326a a =⎧⎨=⎩或1362a a =⎧⎨=⎩，因为{}n a 是递增的等差数列，所以132,6a a ==，故选B ．考点：等差数列的性质． 4． 【答案】 D【解析】解：①y=x ﹣1在区间（0，+∞）上为减函数，②y=（）x是减函数，③y=x+，在（0，1）是减函数，（1，+∞）上为，增函数，④y=lnx在区间（0，+∞）上为增函数，∴A，B，C不正确，D正确，故选：D【点评】本题考查了基本的函数的单调区间，属于基本题目，关键掌握好常见的函数的单调区间．5．【答案】C【解析】解：令f（x）=x2﹣mx+3，若方程x2﹣mx+3=0的两根满足一根大于1，一根小于1，则f（1）=1﹣m+3＜0，解得：m∈（4，+∞），故选：C．【点评】本题考查的知识点是方程的根与函数零点的关系，二次函数的图象和性质，难度中档．6．【答案】B【解析】1从甲校抽取110× 1 200＝60人，1 200＋1 000＝50人，故x＝10，y＝7.从乙校抽取110× 1 0001 200＋1 0007．【答案】D【解析】解析：依题意得y′=e x，因此曲线y=e x在点A（2，e2）处的切线的斜率等于e2，相应的切线方程是y﹣e2=e2（x﹣2），当x=0时，y=﹣e2即y=0时，x=1，∴切线与坐标轴所围成的三角形的面积为：S=×e2×1=．故选D．8．【答案】A【解析】解：∵z=2﹣i，∴====，∴=10•=4+2i，故选：A．【点评】本题考查复数的运算，注意解题方法的积累，属于基础题．9．【答案】C10．【答案】C【解析】考点：等差数列的通项公式．11．【答案】A【解析】解：由sin（+θ）=sin cosθ+cos sinθ=（sinθ+cosθ）=，两边平方得：1+2sinθcosθ=，即2sinθcosθ=﹣，则sin2θ=2sinθcosθ=﹣．故选A【点评】此题考查学生灵活运用二倍角的正弦函数公式、两角和与差的正弦函数公式及特殊角的三角函数值化简求值，是一道基础题．12．【答案】D【解析】解：∵f（x）=，∴f（2016）=f（2011）=f（2006）=…=f（1）=f（﹣4）=log24=2，故选：D．【点评】本题考查的知识点是分段函数的应用，函数求值，难度不大，属于基础题．二、填空题13．【答案】4+．【解析】解：作出正四棱柱的对角面如图，∵底面边长为6，∴BC=，球O的半径为3，球O1的半径为1，则，在Rt△OMO1中，OO1=4，，∴=，∴正四棱柱容器的高的最小值为4+．故答案为：4+．【点评】本题考查球的体积和表面积，考查空间想象能力和思维能力，是中档题．14．【答案】．【解析】解：不等式组的可行域为：由题意，A（1，1），∴区域的面积为=（x3）=，由，可得可行域的面积为：1=，∴坐标原点与点（1，1）的连线的斜率大于1，坐标原点与与坐标原点连线的斜率大于1的概率为：=故答案为：．【点评】本题考查线性规划的应用，几何概型，考查定积分知识的运用，解题的关键是利用定积分求面积．15．【答案】1【解析】 【分析】利用两直线平行的条件，一次项系数之比相等，但不等于常数项之比，求得实数a 的值． 【解答】解：直线ax ﹣2y+2=0与直线x+（a ﹣3）y+1=0平行， ∴，解得 a=1．故答案为 1． 16．【答案】52【解析】()1ln f x x a =--+'，因为()f x 在()0e ，上是增函数，即()0f x '≥在()0e ，上恒成立，ln 1a x ∴≥+，则()max ln 1a x ≥+，当x e =时，2a ≥，又()22xa g x e a =-+，令xt e =，则()[]2,1,32a g t t a t =-+∈， （1）当23a ≤≤时，()()2max 112a g t g a ==-+，()()2min 2a g t g a ==，则()()max min 312g t g t a -=-=，则52a =，（2）当3a >时，()()2max 112a g t g a ==-+，()()2min 332a g t g a ==-+，则()()max min 2g t g t -=，舍。
备战新高考英语抢分秘籍：状语从句 (原卷版)(全国通用)
法宝07 状语从句距离高考还有一段时间，不少有经验的老师都会提醒考生，愈是临近高考，能否咬紧牙关、学会自我调节，态度是否主动积极，安排是否科学合理，能不能保持良好的心态、以饱满的情绪迎接挑战，其效果往往大不一样。
以下是本人从事10多年教学经验总结出的以下学习资料，希望可以帮助大家提高答题的正确率，希望对你有所帮助，有志者事竟成！养成良好的答题习惯，是决定高考英语成败的决定性因素之一。
做题前，要认真阅读题目要求、题干和选项，并对答案内容作出合理预测;答题时，切忌跟着感觉走，最好按照题目序号来做，不会的或存在疑问的，要做好标记，要善于发现，找到题目的题眼所在，规范答题，书写工整;答题完毕时，要认真检查，查漏补缺，纠正错误。
总之，在最后的复习阶段，学生们不要加大练习量。
在这个时候，学生要尽快找到适合自己的答题方式，最重要的是以平常心去面对考试。
英语最后的复习要树立信心，考试的时候遇到难题要想“别人也难”，遇到容易的则要想“细心审题”。
越到最后，考生越要回归基础，单词最好再梳理一遍，这样有利于提高阅读理解的效率。
另附高考复习方法和考前30天冲刺复习方法。
目录一............... 知识梳理二............... 真题回顾三............... 名校模拟练状语是谓语的另一个附加成分，主要用于修饰动词的状态，如时间、地点、方式等。
状语从句即为句子中充当状语的从句。
和定语从句不同，状语从句“套路”比较单一，主要掌握不同类型下的引导词，并注意少数特殊情况即可。
01时间状语从句- When I arrived home, my mom was sleeping.- 当我回到家时，我母亲正在睡觉。
- As soon as I arrived home, Tom closed TV.- 我一回到家，汤姆就关了电视。
- By the time you arrived home, I had done my housework.- 当你回到家时，我已经做完了家务。
湖南师范大学附属中学2019届高三上学期月考(五)数学(文)试题(含答案)
炎德·英才大联考湖南师大附中2019届高三月考试卷(五)数 学(文科)本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分，共8页。
时量120分钟。
满分150分。
第Ⅰ卷一、选择题：本大题共12个小题，每小题5分，共60分，在每小题给出的四个选项中，只有一项是符合题目要求的．1．在复平面内，复数65i -，23i -+对应的点分别为A 、B ，若C 为线段AB 的中点，则点C 对应的复数是(C)A ．48i +B ．82i +C ．2i -D ．4i +【解析】复数65i -i 对应的点为(6,5)A -，复数23i -+对应的点为(2,3)B -．利用中点坐标公式得线段AB 的中点(2,1)C -，故点C 对应的复数为2i -，选C.2．设命题:6m 6p -≤≤，命题q ：函数2()9()f x x mx m R =++∈没有零点，则p 是q 的(B) A ．充分不必要条件 B ．必要不充分条件 C ．充要条件 D ．既不充分也不必要条件【解析】函数2()9()f x x mx m R =++∈没有零点，则2360m ∆=-<，即66m -<<，显然，q 可以推出p ，而p 不能推出q ，故选B.3．点(,3)P a )到直线4310x y -+=的距离等于4，且在230x y +-<表示的平面区域内，则a 的值为(C) A ．3 B ．7 C ．－3 D ．－7【解析】由题意|4331|452330a a -⨯+⎧=⎪⎨⎪+-<⎩解得3a =-.选C. 4．已知函数()f x 是偶函数，当0x >时，1()3f x x =∙，则在(2,0)-上，下列函数中与()f x 的单调性相同的是(C)A ．21y x =-+ B ．|1|y x =+ C ．||x y e = D ．321,01,0x x y x x -≥⎧=⎨+<⎩【解析】由已知得()f x 在(2,0)-上单调递减，所以答案为C.5．如图所示是某几何体的三视图，则该几何体的表面积为(D) A ．57＋24π B ．57＋15π C ．48＋15π D ．48＋24π【解析】本题为圆锥与直四棱柱的组合体．注意表面积分为三部分，圆锥侧面展开图，即扇形面积65155ππ⨯=；圆锥底面圆，29S r ππ==；直四棱柱侧面积，34448⨯⨯=，总面积为4824π+. 6．已知双曲线22221(0,0)x y a b a b-=>>的两条渐近线均与圆22:650C x y x +-+=相切，则该双曲线离心率等于(A)A.355 B. 62 C.32D. 55【解析】圆22:650C x y x +-+=圆心为C (3，0)，半径为2，由已知C 到直线by x a=的距离为2，可得2295a c =，可得355e =.故选A.7．将参加夏令营的400名学生编号为：001，002，…，400，采用系统抽样的方法抽取一个容量为40的样本，且随机抽得的号码为003，这400名学生分住在三个营区，从001到180在第一营区，从181到295在第二营区，从296到400在第三营区，三个营区被抽中的人数分别为(A)A ．18，12，10B ．20，12，8C ．17，13，10D ．18，11，11 【解析】根据系统抽样特点，抽样间隔为4001040=，被抽到号码103l k =+， k N ∈.由题意可知，第一营区可分为18个小组，每组抽取1人，共抽取18人，由第二营区的编号为181到295，可知181103295k ≤+≤，k N ∈，可得11829k ≤≤，因此第二营区应有12人，第三营区有10人，所以三个营区被抽中的人数分别为18，12，10.8．已知△ABC 中， 30A ∠=︒，AB 、BC 分别是32+， 32-的等差中项与等比中项，则△ABC 的面积等于(D)A.32 B.34 C. 32或3 D. 32或34【解析】由条件3AB =， 1BC =，由31sin sin 30C =︒，得3sin 2C =.∴60C =︒或120°，∴90B =︒或30°，∴133sin sin 222ABC S AB BC B B ∆=∙∙==或34.故选D.9．右图中，1x ，2x ，3x 为某次考试三个评阅人对同一道题的独立评分，p 为该题的最终得分，当16x =，29x =，8.5p =时，3x 等于(C)A ．11B ．10C ．8D ．7【解析】16x =，29x =， 12||32x x -=≤不成立，即为“否”，所以再输入x 3；由绝对值的意义(一个点到另一个点的距离)和不等式3132||||x x x x -<-知，点3x 到点1x 的距离小于点3x 到2x 的距离，所以当37.5x <时，3132||||x x x x -<-成立，即为“是”，此时23x x =，所以132x x p +=，即368.52x +=，解得3117.5x =>，不合题意；当37.5x ≥时，3132||||x x x x -<-不成立，即为“否”，此时13x x =，所以322x x p +=，即398.52x +=，解得387.5x =>，符合题意，故选C.10．A (a ，1)，B (2，b )，C (4，5)为坐标平面内三点，O 为坐标原点，若OA 与OB 在OC 方向上的投影相同，则a ，b 满足的关系式为(A)A ．453a b -=B ．543a b -=C ．4514a b +=D ．5414a b +=【解析】由OA 与OB 在OC 方向上的投影相同可知：||||OA OC OB OCOC OC ∙∙=4585a b +=+453a b -=.故选A.11．已知直线y mx =x 与函数212(),03()11,02x x f x x x ⎧-≤⎪⎪=⎨⎪+>⎪⎩的图象恰好有3个不同的公共点，则实数m 的取值范围为(B)A ． (3,4)B ． (2,)+∞C ． (2,5)D ．(3,22)【解析】做出()f x 的图象，可知0m ≤时，直线y mx =与()f x 只有一个交点，不符题意；当0m >时y mx =与12()(0)3x y x =-≤总有一个交点，故y mx =与211(0)2y x x =+>必有两个交点，即方程211(0)2x mx x +=>必有两不等正实根，即方程2220x mx -+=必有212124802020m x x m x x ⎧∆=->⎪+=>⎨⎪=>⎩解得(2,)m ∈+∞，选B.12．已知方程320x ax bx c +++=的三个实根可分别作为一椭圆、一双曲线、一抛物线的离心率，则22a b +的取值范围是(D)A ．(5,)+∞B ．[5,)+∞C ．[5,)+∞D ．(5,)+∞【解析】设2()32f x x ax b =++，由抛物线的离心率为1，知(1)10f a b c =+++=故1c a b =---，所以2()(1)[(1)1]f x x x a x a b =-+++++．另外两根分别是一椭圆、一双曲线的离心率，故2()(1)1g x x a x a b =+++++有两个分别属于(0,1)和(1,)+∞的零点．故有(0)0g >且(1)0g <，即10a b ++>且230a b ++<.运用线性规划知识可求得22(5,)a b +∈+∞．故选D.选择题答题卡题 号 1 2 3 4 5 6 7 8 9 10 11 12 答 案CBCCDAADCABD第Ⅱ卷本卷包括必考题和选考题两部分．第13～21题为必考题，每个试题考生都必须作答．第22～23题为选考题，考生根据要求作答．二、填空题：本大题共4个小题，每小题5分，满分20分．请把答案填在答题卷对应题号后的横线上． 13．设直线:(1)(21)30()l m x m y m m R -++==∈与圆22(1)8x y -+=交于A 、B 两点，C 为圆心，且△ABC 面积等于4，则实数12m =-或72-．【解析】设CA ，CB 的夹角为θ，∴21sin 4sin 42ABC S r θθ∆===，∴2πθ=，此时圆心C 到直线l 的距离为2，∴22|41|2(1)(21)m m m -=-++，12m =-或72m =-.14．已知0x >，0y >，且211x y+=，若222x y m m +>+恒成立，则实数m 的取值范围是__42m -<<__．【解析】因为2144(2)()4()428y x y x x y x y x y x y++=++≥+=，所以228m m +<， 解得42m -<<.15．如图，在矩形ABCD 中，3AB =，过点A 向BAD ∠所在区域等可能任作一条射线AP ，已知事件“射线AP 与线段BC 有公共点”发生的概率为13，则BC 边的长为__3__． 【解析】因为13BAC P BAD ∠==∠，90BAD ∠=︒，则30BAC ∠=︒，所以3tan 303BC AB ==.因为3AB =，则3BC =.16．函数()y f x =图象上不同两点11(,)A x y ，22(,)B x y 处的切线的斜率分别是,A B k k ，规定2||(,)||A B k k A B AB ϕ-=叫做曲线()y f x =在点A 、B 之间的“平方弯曲度”．设曲线xy e x =+上不同两点11(,)A x y ，22(,)B x y ，且121x x -=，则(,)A B ϕ的取值范围是__21(0,]2-__． 【解析】x y e x=+的导数为'1x y e =+，11A k ex =+，21B k ex =+，2||(,)||A B k k A B AB ϕ-==1222121212||()()ex ex x x ex ex x x -=-+-+-12212||1(1)ex ex ex ex -+-+，121x x -=，可得12x x >，12ex ex >，可令12t ex ex =-，可设2()1(1)tf t t =++，0t >，2222221(1)2(1)2()(1(1))(1(1))t t t t f t t t ++-+-==++++，当02t <<时，()0f t >，()f t 递增；当2t >时， ()0f t <，()f t 递减．则当2t =处()f t 取得极大值，且为最大值222121(21)-=++.则21(,)(0,]2A B ϕ-∈. 三、解答题：解答应写出文字说明，证明过程或演算步骤． 17．(本题满分12分)越接近高考学生焦虑程度越强，四个高三学生中大约有一个有焦虑症，经有关机构调查，得出距离高考周数与焦虑程度对应的正常值变化情况如下表：周数x 6 5 4 3 2 1 正常值y556372809099(1)作出散点图：(2)根据上表数据用最小二乘法求出y 关于x 的线性回归方程y ^＝b ^x ＋a ^(精确到0.01)；(3)根据经验，观测值为正常值的0.85～1.06为正常，若1.06～1.12为轻度焦虑，1.12～1.20为中度焦虑，1.20及其以上为重度焦虑，若为中度焦虑及其以上，则要进行心理疏导，若一个学生在距高考第二周时观测值为100，则该学生是否需要进行心理疏导？其中b ^＝错误!错误!＝91，错误!＝错误!－错误!错误!. 【解析】(1)4分(2) 1(654321) 3.56x =+++++=， 1(556372809099)76.56y =+++++=，267.75x y =，214526267.758.83916 3.5b -⨯=≈--⨯，a ^76.58.83 3.5107.41=+⨯≈， 所以线性回归方程为8.83107.418y x =-+分 (3) 2x =时，8.832107.4189.74y =-⨯+≈，∵1001.11 1.1289.74≈<，为轻度焦虑，故该学生不需要进行心理疏导.12分18．(本题满分12分)如图，在四棱锥P －ABCD 中，底面ABCD 是矩形，P A ⊥平面ABCD ，P A ＝AD ，AB ＝2AD ，E 是线段PD 上的点，F 是线段AB 上的点，且(0)PE BFED FAλλ==>． (1)证明：EF ∥平面PBC ；(2)是否存在实数λ，使得异面直线EF 与CD 所成角为60°？若存在，试求出λ的值，若不存在，请说明理由．【解析】(1)作EH ∥AD 交P A 于点H ，连接HF ， ∵EH ∥AD ，∴PE PHED HA=.1分 又∵PE BF ED FA λ==，∴PH PFHA FA=，∴FH ∥PB .2分 又∵EH ∥AD ，FH ∩HE ＝H ， ∴平面EFH ∥平面PBC .4分∵EF 平面EFH ，∴EF ∥平面PBC .6分(2)存在实数5λ=，使得异面直线EF 与CD 所成角为60°.7分其理由如下：假设存在实数λ，使得异面直线EF 与CD 所成角为60°， ∵AB ∥CD ，∴∠AFE 为异面直线EF 与CD 所成角，∴60AFE ∠=︒.8分 过点E 作EQ ⊥AD 交AD 于点Q ，连接FQ ， ∵P A ＝AD ，AB ＝2AD ， ∴设AD ＝1，又∵(0)PE BFED FAλλ==>，21AF DE λ==+，1AQ λλ=+，1EQ λλ=+，10分 ∵222222222()()11(1)Q AF AQ λλλλλ+=+=+=+++， ∵222222223()()11(1)EF EQ FQ λλλλλ+=+=+=+++， ∴Rt FAE ∆中，cos cos60AF AFE EF ∠=︒=，∴21243λ=+，∴5λ=. ∴存在实数5λ=，使得异面直线EF 与CD 所成角为60°.12分19．(本题满分12分)在等差数列{}n a 中，34584a a a ++=，973a =. (1)求数列{}n a 的通项公式；(2)对任意*m N ∈，将数列{}n a 中落入区间2(9,9)mm内的项的个数记为m b ，求数列{}m b 的前m 项和m S .【解析】(1)因为{}n a 是一个等差数列，34584a a a ++=， 所以3454384a a a a ++==，即428a =，设数列{}n a 的公差为d ，则945732845d a a =-=-=，故9.2d =分 由413a a d =+，得12839a =+⨯，即1 1.4a =分 所以1(1)19(1)98n a a n d n n =+-=+-=-，*n N ∈.6分(2)对*m N ∈，若299m mn a <<，则298998m m n +<<+，7分因此121889999m m n --+≤≤+,8分 故得21199m m m b --=-，9分 于是321112(999)(199)m m m m S b b b --=+++=+++-+++219(181)1(19)910911811980m m m m +⨯-⨯--⨯+=-=--.12分20．(本题满分12分)已知椭圆22221(0)x y a b a b+=>>的左、右焦点是12F F 、，左右顶点是12A A 、，离心率是22，过2F 的直线与椭圆交于两点P 、Q (不是左、右顶点)，且1F PQ ∆的周长是42，直线1A P 与2A Q 交于点M . (1)求椭圆的方程；(2)(ⅰ)求证直线1A P 与2A Q 交点M 在一条定直线l 上； (ⅱ)N 是定直线l 上的一点，且PN 平行于x 轴，证明：2||||PF PN 是定值． 【解析】(1)设椭圆的焦距是2c ，据题意有：22442c a a ⎧=⎪⎨⎪=⎩2a =，1c =，则1b =，所以椭圆的方程是2212x y +=.3分 (2)(ⅰ)由(1)知1(2,0)A -，2(2,0)A ，2(1,0)F ，设直线PQ 的方程是1x my =+， 代入椭圆方程得：(22(2)210m y my ++-=，易知22244(2)880m m m ∆=++=+>，设11(,)P x y ，22(,)Q x y ，12y y >，则1221222211m y y m y y m ⎧+=-⎪⎪+⎨⎪=-⎪+⎩222112122222()42m y y y y y y m +-=-+-=-+，5分 直线A 1P 的方程是：()1122y y x x =++ ①，直线A 2Q 的方程是：()2222y y x x =-- ②，7分设(),M x y ，既满足①也满足②， 则()()()()()()21122112122112212112212222222x y x y y y my y y y y y x x y x y y y y y y y ++-+++-=⋅=⋅-++++-22222222222222242222222222222222222222m m m m m m m m m m m m m m +---+⋅++++=⋅=⋅=+++--++，故直线A 1P 与A 2Q 交点M 在一条定直线l ：x ＝2上.10分 (ⅱ)设()2,N t ，()11,P x y ，()12,2x ∈-，则12PN x =-，∴()()()2222211112111111212222222x x x x y PF PN x x x -+---+====---.12分21．(本题满分12分)已知函数()()2ln 0f x x a x x a =--≠．(1)求函数()f x 的单调区间；(2)若a >0，设()()1122,,,A x y B x y 是函数()f x 图象上的任意两点()12x x <，记直线AB 的斜率为k ，求证：122'3x x f k +⎛⎫> ⎪⎝⎭.【解析】(1)()()22'210a x x a f x x x x x--=--=>，1分①当18a ≤-时，220x x a --≥恒成立，即()'0f x ≥恒成立， 故函数()f x 的单增区间为()0,+∞，无单减区间.2分 ②当108a -<<时，()'0f x >220x x a -->，解得：1184a x -+<或1184ax ++>，∵x >0， ∴函数()f x 的单增区间为1180,4a ⎛⎫-+ ⎪ ⎪⎝⎭，118,4a ⎛⎫+++∞ ⎪ ⎪⎝⎭， 单减区间为118118,44a a ⎛⎫-+++⎪ ⎪⎝⎭.4分 ③当a >0时，由()'0f x >解得：1184a x ++>或1184ax -+<. ∵x >0，而此时11804a-+≤， ∴函数()f x 的单增区间为118,4a ⎛⎫+++∞⎪ ⎪⎝⎭，单减区间为1180,4a ⎛⎫-+ ⎪ ⎪⎝⎭.6分 (2)证明：∵()'21a f x x x =--，∴()1212122223'1332x x x x a f x x ++⎛⎫=-- ⎪+⎝⎭， 由题，()()()()12212121212212121212lnln ln 1x a x x a x x x x y y x k x x x x x x x x ------===+-----，则()()112122121212ln2223'332x a x x x x x a f k x x x x x x ++⎛⎫-=-+-+ ⎪+-⎝⎭12121212ln333x a x x x ax x x x -=-++-，8分注意到2103x x ->，故欲证122'3x x f k +⎛⎫> ⎪⎝⎭，只须证明121212ln32x a x a x x x x >-+. 因为a >0，故即证121212ln 32x x x x x x >-+()1212123ln2x x x x x x -<+12112231ln 2x x x x x x ⎛⎫- ⎪⎝⎭<+9分 令()120,1x t x =∈，()()31ln 2t g t t t -=-+， 则()()()()()221419'022t t g t t t t t --=-=>++，故()g t 在()0,1上单调递增． 所以()()10g t g <=，即()31ln 2t t t -<+，即：12112231ln 2x x x x x x ⎛⎫- ⎪⎝⎭<+，所以122'3x x f k +⎛⎫> ⎪⎝⎭.12分 请考生在第22～23两题中任选一题作答，如果多做，则按所做的第一题计分。