湖南雅礼中学2011届高三月考七数学文
长沙市雅礼中学2011年高三第一次月考试卷
2011届高三第一次月考PART TWO: LANGUAGE KNOWLEDGESECTION ADirections : Beneath each of the following sentences there are 4 choices marked A,B,C and D.Choose one answer that best completes the sentence .21．What do you mean _________ saying that I’m lucky?A．at B．on C．by D．of22．I told them not everybody could do it , _________?A．could they B．couldn’t they C．did I D．didn’t I.23．--Where did you see him for the first time?-- It was in the factory _________ we worked.A．that B．where C．which D．when24．_________ is known to us all is that the 2012 Olympic Games will take place in London.A．As B．What C．That D．It25．–It’s really a pity that I didn’t see you in Shanghai.-- I _________ to see you in the hotel, but I was too busy.A．hope B．had hoped C．hoped D．am hoping26．More than one student in our class _________ to Shanghai Expo.A．has been B．have been C．is D．are27．All things _________, her suggestion is of greater value than yours.A．consideration B．considering C．considered D．are considered28．-- _________ you called yesterday?-- Tom．Why?A．Who it is that B．Who is it that C．Who was it that D．Who it was that29．-- I’m so sorry for breaking the plate, Mom.-- It doesn’t matter．_________ careful next time.A．Being B．Do be C．Do D．To be30．It was unwise of him to _________ the unreliable data in his speech.A．refer to B．add to C．belong to D．point to31．_________ it rain, the crops would be saved.A．Will B．Should C．Would D．Could32．--Which of the two films do you prefer?-- To tel l you the truth,, I don’t like _________.A．neither of them B．both of themC．either of them D．none of them33．Tom has been absent for two days．Do you know what _________ to him?A．has happened B．would happen C．was happened D．had happened34．Rose _________ tell her mother that she didn’t pass the exam.A．dare not to B．doesn’t dare to C．ddoesn’t dare D．dares not35．_________ the extremely hot weather, we continued having classes．A．Thanks to B．In addition to C．In defence of D．Regardless ofSECTION B (18 points)Directions: For each blank in the following passage there are four words or phrases marked A, B, C and DThis year’s Cannes Film Festival threw actress Fan Bingbing int o the international spotlight–thanks to her performance on the red carpet, not on the big screen．36 a string of fancy dresses may have impressed many, the film featuring her -–director Wang Xiaoshuai’s Chongqing Blues–failed to take home an award．Chongqing Blues, based on a real story, is about a captain and 37 (Wang Xueqi) who has been 38 with work __39___ neglects his family．When he learns that his son was killed by police because of a kidnapping, he goes 40 from Rizhao to Chongqing to discover the truth, while reflecting on his own faults during the trip．In the judges’ eyes, 41 , the film was just not artsy enough．In an interview with after the award presentation, Wang Xiaoshuai admitted that the main reason why the film 42 was because it was a bit too commercial for the judges．―Yes, it’s a pity．But a film can’t just fulfill a director’s ambition．It should also 43 a market, and keep the investors’ needs 44 , ‖ Wang said．―So, we had to add some commercial elements into this film.‖Wang Xiaoshuai and the main actors 45 Wang Xueqi and Fan Bingbing in this film, have got a modest attitude．―We didn’t 46 too much when we came,‖ said Fan in a press conference．―This time we’ve 47 great communication with filmmakers around the world–that’s what we came here for.‖ 36．A．While B．When C．Because D．For37．A．father B．mother C．teacher D．doctor38．A．angry B．busy C．familiar D．popular39．A．and B．then C．so D．or40．A．in no way B．by the way C．all the way D．in the way 41．A．meanwhile B．fortunately C．therefore D．however42．A．lost B．succeeded C．won D．missed43．A．take to B．take on C．appeal to D．apply for44．A．out of mind B．in mind C．never mind D．to mind45．A．as B．like C．such that D．so that46．A．expect B．think C．hope D．wish47．A．made B．founded C．built D．establishedSECTION C (12 points)Directions: Complete the following passage by filling in each blank with one word that best fitsthe context.On the first day of classes at a Los Angeles high school, several American boys came up to a Chinese boy and said: ―Hi, what’s up?‖ 48 hearing their greeting, the boy, 49 had just moved to the US with his parents, raised his head and looked at the sky.This is a story told by David Chen, 50 31-year-old actor in Taiwan who recently launched a Sinamini-blog, on which he teaches easy English expressions.― 51 me, the mini-blog is like a mirror．When I read the comments, I see myself more clearly.‖Chen made a breakthrough last year 52 he had a double-eyelid surgery．―I like making changes and I think it’s necessary,‖ he said．―I know many fans like my pretty boy image．But now I’m growing up, I want to look rougher and 53 mature.‖―When you have a new haircut, you do not need to explain it．__54___ is just like changing your mood to do so–if you feel happy, that’s great,‖ said Chen．―Young people should realiz ethat sometimes you can just do what you want to do．You will eventually get support from others if you dare to be 55 .‖PART THREE READING COMPREHENSIONstatements．For each of them there are four choices marked with A, B, C and D．choose the one that fits best according to the information given in the passage.ATayka Hotel De SalWhere: Tahua, BoliviaHow much: About $95 a nightWhy it’s cool: You’ve stayed at hotels made of brick or wood, but salt? That’s something few can claim．Tayka Hotel de Sal is made totally of salt—including the beds (though you’ll sleep on regular mattresses (床垫) and blankets)．The hotel sits on the Salar de Uyuni, a prehistoric dried-up lake that’s the world’s biggest salt flat．Builders use the salt from the 4,633-square-mile flat to make the bricks, and glue them together with a paste of wet salt that hardens when it dries．When rain starts to dissolve the hotel, the owners just mix up more salt paste to strengthen the bricks.Green Magic Nature ResortWhere: Vythiri, IndiaHow much: About $240 a nightWhy it’s cool: Ridding a pulley(滑轮)-operated lift 86 feet to your treetop room is just the start of your adventure．As you look out of your open window—there is no glass!—you watch monkeys and birds in the rain forest canopy．Later you might test your fear of heights by crossing the handmade rope bridge to the main part of the hotel, or just sit on your bamboo bed and read．You don’t even have to come down for breakfast—the hotel will send it up on the pulley-drawn ―elevator‖.Dog Bark Park Inn B&BWhere: Cottonwood, IdahoHow much: $92 a nightWhy it’s cool: This doghouse isn’t just for the family pet．Sweet Willy is a 30-foot-tall dog with guest rooms in his belly．Climb the wooden stairs beside his hind leg to enter the door in his side．You can relax in the main bedroom, go up a ffew steps ot the loft in Willy’s head, or hang out inside his nose．Cotta ―go‖(想要方便一下)? Although you have a full private bathroom in your quarters, there is also a toilet in the 12-foot-tall fire hydrant outside.Gamirasu Cave HotelWhere: Ayvali, TurkeyHow much: Between $130 and $475 a night.Why it’s cool: This is caveman cool! Experience what it wa s like 5,000 years ago, when people lived in these mountain caves formed by volcanic ash．But your stay will be much more modern．Bathrooms and electricity provide what you expect from a modern hotel, and the white volcanic ash, called tufa, keeps the rooms cool, about 65℉in summer．(Don’t worry—there is heat in winter.)56．Which of the following about Tayka Hotel de Sal is true?A．The hotel is the cheapest among the four mentioned.B．Everything in the hotel is made of salt.C．It is on an island in the Pacific Ocean.D．It is located on a prehistoric lake.57．What is the similarity of the four hotels?A．Being expensive. B．Being beautiful. C．Being natural. D．Being unique.58．What does the underline part ―Sweet Willy‖ refer to?A．The building of Dog Bark Park Inn B&B. B．The name of a pet dog of the hotel owner.59．Which of the hotel makes you have a feeling of living in the far past?A．Tayka Hotel De Sal B．Green Magic Nature ResortC．Dog Bark Park Inn B&B D．Gamirasu Cave Hotel60．What may be the purpose of the writer writing the passage?A．To show his wide knowledge. B．To introduce some interesting hotels.C．To develop business in tourism. D．To attract attention from the readers.BSwedish master medical photographer Lennart Nilsson is a pioneer in medical photography．In association with researchers and with the help of advanced, specially designed equipment, he has documented the inside of man down to the level of a cell with his camera.Born in Strängnäs, a satellite city of Stockholm, in 1922, Nilsson got his first camera from his father when he was 11 years old．From the early stage, he has been interested in looking at ants and taking photos of them.Throughout the years, he has devoted special attention to capturing the creation of a human being, from conception to birth.In 2006 when his photo book Life was published in both Swedish and English, he was invited to give a lecture at the Stockholm bookstore．He vividly described to the public how he took the photos so that the development process of the embryo can be understood better．Finally when he was signing his name in the book, I asked him what made him so passionate about working on this, he stopped writing and thought for a second, ―I think it is the respect for life,‖ Nilsson sa id.Nilsson began his career as a photographic journalist in the middle of the 1940s and published a number of photo-essays in Swedish and foreign magazines, including "Polar Bear Hunting in Spitzbergen" (1947) and Midwife.―When I went to the professor t o take the embryo photo, I was looking around and then I saw something which was unbelievable, it was a tiny human embryo lies in a very special place, a 10-20 millimeter embryo with hands, arms and eyes, and I got a shock,‖ Nilsson said.Nilsson began experimenting with new photographic techniques in the mid-1950s to report on the world of ants and life in the sea．His revealing macro-studies were published in his book on ants, Myror (1959), and in the Life in the Sea (1959), and in Close to Nature (1984)．In the 1960s special designed, very slim endoscopes (内窥镜))made it possible for him to photograph the blood vessels and the cavities (空洞) of the body with the necessary depth of field and, in 1970, he used a scanning electron microscope for the first time, he was also considered the pioneer for three dimension digital pictures of the body organs.After his photographs of human embryo were published, he was encouraged to continue photographing the origins of human being.Nilsson is very modest and sincere．At age of nearly 88, he is still cooperating with colleagues in Karolinska Institute where the Nobel Prize in Physiology or Medicine is selected every year.―He can forget all the other things when he is working and he is still working diligently,‖ Mrs Nilsson told People’s Daily Online.61．Why does Nilsson want to document the creation of a human being?A．Because he is a pioneer in medical photography.B．Because he has been interested in taking photos.C．Because he thinks it a way to show respect for life.D．Because he wished to win a Nobel Prize.62．What can we learn from the passage?A．Nilsson was the only expert in medical photography. B．Nilsson’s camera is specially designed.D．Nilsson has always been working alone．63．How many books written by Nilsson are mentioned in this passage?A．3．B．4. C．5. D．6.64．Which of the following word can Not be used to describe Nilsson?A．Passionate. B．Devoted. C．Forgetful. D．Dillgent.65．What can be the title for the passage?A．Nilsson, a pioneer medical photographer B．Nilsson, a pioneer medical publisherC．Nilsson, a person of rich experience D．Nilsson, a talented photographerCSHANGHAI - Health experts in Shanghai are calling for more protection for young children as the latest research shows about half of the youngsters are suffering from secondhand smoke.About 45 percent of children suffer passive smoking in families, 50 percent in public places, and almost 6 percent on public transportation, shows a research released by the Shanghai Children's Medical Center on Tuesday."Not only adults but also children and newborn babies are at risk for the adverse effects of passive smoking," said Tang Jingyan, a doctor at the Shanghai Children's Medical Center."Actually, those young children whose bodies are still growing and developing are more sensitive to the effects of secondhand smoke."Research has shown that children who are exposed to secondhand smoke will suffer from more colds, coughs and sore throats, and they are more likely to suffer from bronchitis, pneumonia and will have a higher risk of developing cancer.Doctors even suggested that children suffering passive smoking are more likely to have behavioral problems and may not develop mentally as quickly as their peers．Other research by the Shanghai Children's Medical Center has found that more than 80 percent of child patients in the center live in a smoke-filled household, where one or both parents smoke．"Though doctors have stressed the harm of passive smoking over and over, it is still hard to reach a totally 'smoke free' home," said a pediatrician named Zhang Yiwen, noting that parents are often tempted to smoke even though they have learned the harmful effects of secondhand smoke.China has 540 million people suffering from passive smoke, 180 million of them younger than 15．The age of smokers is also getting lower, earlier reports said."There are more young smokers than before．You can see young people wearing a school uniform and carrying a schoolbag light a cigarette on the street．Some of them are even female students," said Jing Xingming, a professor of children's developmental behavior at the center."Children like to imitate adults, especially their parents．If parents often smoke at home, it is very likely children will develop a smoking habit, which can cause a vicious circle," Jin said.Reports from the Ministry of Health said China has about 350 million smokers, of whom 15 million are underage smokers．Also, around 40 million of the country's 130 million children aged between 13 and 18 had tried smoking, and 15 million had become addicted to tobacco.66．What is the main idea of the passage?A．About half of the youngsters are suffering from secondhand smoke.B．Experts are calling for more protection for youngsters from smoking.C．More and more youngsters are picking up the habit of smoking.D．Smoking does great harm to the health of the youngsters.67．What kind of the youngsters most possibly develop a habit of smoking?A．Children of non-smoking mothers B．Children of non-smoking fathers.68．Which of the following disease may not be connected with secondhand smoking?A．Cancer. B．Behavioral problemsC．Sore throats. D．Coughs.69．The underlined word ―vicious‖ in the last paragraph but one most probably means ___________.A．complete B．simple C．great D．bad70．What can be inferred from the passage?A．About 80% of the children in the Shanghai Children's Medical Center smoke heavily.B．About 45 percent of children suffer passive smoking in the Shanghai Children's Medical Center.C．About 540 million people are heavy smokers in China.D．Children aged between 13 to 18 are more likely addicted to smoking.PART FOUR WRITINGSection ADirections: Read the following passage．Complete the diagram by using the information for the passage．Write NO MORE THAN 3 WORDS for each answer.United Nations officials say now fewer people than they thought are infected with the AIDS virus.Last year, the agency known as UNAIDS thought that 39.5 million people were living with HIV．On Tuesday it reduced by 16% to a little more than 33 million.Agency officials say the low number reflects better information form more countries．The agency reduced the number for five African countries: Angola, Kenya, Mozambique, Nigeria and Zimbabwe.Also, UNAIDS says it now believes the number of new HIV cases per year reached a high in the late 1990s at more than three million．This year, it thinks that 2.5 million people became infected, and 2 million people died of AIDS.Luckily, better treatments are saving lives, and more people are getting the drugs.Yet even as the number of new infections has dropped, UN officials say AIDS is still one of the leading causes of the death worldwide, and the major cause in Africa．African death rates remain high, they say, because treatment needs are not being met．Sub-Saharan Africa had almost 70% of the new cases of HIV reported this year．UNAIDS officials say this is a sharp reduction since 2001, but there is a need to further improve research method.Billions of dollars are being spent preventing and treating HIV．Experts worry that the new number may lead to a drop in financial support．But UNAIDS officials say they do not change the need for immediate action and more money．They warn that in some countries, infection rates that were falling are rising again now．Title: A New Report on (71) Infections(72) Few people are infected with AIDS.(73) ◆The number has been (74) a little over 33 million. ◆HIV infected 2.5 million and (75) 2 million last year.◆The number of infections in five (76) has fallen.Measure To reduce new infections, the organization is supplying more people with better (77) .(78) ◆That treatment needs are not being met results in(79) in Africa.◆Because of the new number, some organizations mayprovide (80) to the program.◆In some countries, the infection rates are rising again.Section Bpassage and required words limit．Write your answers on your answer sheet.Richard Wagner was a German musician who lived in the mid-19th century．He gained fame by writing opera, a form of performance combining singing, music on instruments, and drama.Wagner’s life and work have been ve ry controversial(有争议的)．While he wrote excellent music, many people think his operas are too dark and serious, lacking tile fun common in operas written before his time.Wagner, on the other hand, thought the opera of his time was too simple．He wanted to make opera a serious form of art that combined drama and music to tell deep stories that would have a strong effect on the audience.Some people thought Wagner’s new kind of music was too different from the operas they were used to hearing．Wagner agreed with them．In fact, he didn’t call his works ―operas‖ at all, using instead a German word that means ―Musical Festival‖ or ―Musical play‖.While many people today still do not like Wagner’s operas, they cannot deny that Wagner had a lot of influence on opera as a form of art．Wagner invented the tradition of turning off the lights before starting a play．He also was the first person to make the whole audience sit down for an entire play．Today, almost all operas are performed in this manner.Wagner as a man was even more controversial than Wagner as a writer of music．He hated Jewish people, slept with his friends’ wives, and made many people angry, which we would today think of as evil．Some would say he was a good musician, while others would say that he was a bad musician．But it would be difficult to say he was not an important person in music and in the world.81．What is the best word that describes Wagner? (no more than one word)82．What does the underlined word ―deep‖ in Para．3 mean? (no more than 3 words)83．W hy does the author say ―Wagner as a man was even more controversial‖? (no more than 15 words) 84．List two things that showed Wagner had a lot of influence on opera? (no more than 30 words)Section C (25)Directions :Write an English composition according to the instructions given below in Chinese .近年来选秀类的电视节目吸引了很多人的注意力。
2024届湖南省长沙雅礼中学高三下学期月考(七)语文试题及答案
雅礼中学2024届高三月考试卷(七)语文注意事项：1.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。
2.回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑。
如需改动，用橡皮擦干净后，再选涂其他答案标号。
回答非选择题时，将答案写在答题卡上。
写在本试卷上无效。
3.考试结束后，将本试卷和答题卡一并交回。
一、现代文阅读(35分)(一)现代文阅读I(本题共5小题，19分)阅读下面的文字，完成1～5题。
乡土文学内涵丰富多彩，既可书写乡土历史，也可关注乡村现实，或写实，或象征，或抒情。
但无论如何，乡土小说在未来要有所突破，更具审美价值，能对中国乡村历史、现实与未来前景作出更具梯度与广度的思考，须摆脱传统叙事范式的限度，“接通”乡村现实的巨变，在多方面进行更新。
一是更新对乡土文明的价值认知。
也就是说，充分尊重乡村的本体地位与独立价值，重构乡土文明的正向价值。
长期以来，由于对现代性的某种迷思，乡土文明通常被预设、框定为传统、落后的文化形态，与现代化构成一种悖论与张力，总是遭到无情的批判与碾压，中国百年来的乡土文学基本上是在此方向上惯性地书写。
事实上，中华文明本质上是一种农耕文明，而乡村则是农耕文明的实体载体与存在空间。
可以说，乡村文化不仅是建构中华民族心理认同感的重要精神源泉，还滋育着中华文明的根脉。
“乡村文明是中华民族文明史的主体，村庄是这种文明的载体，耕读文明是我们的软实力。
”因此，悠久、灿烂的农耕文明支撑了古代中国的生存与繁荣，也为当代中国积淀了文化基因与根脉。
乡土文明有其独立存在的价值，并非仅仅是评判现代性的参照坐标，亦不是城市文明的附庸，它同样有着现代文明的价值指向。
因此现代化并非是完全要抛弃传统，现代化也可以说是植根于传统的一种转型与生长，与传统一脉相承。
未来的乡土小说不必再视乡村为一种话语批判的武器，实有必要以平视的姿态去看待农耕文化中那些悠远的传统元素，通过对乡村固有的风俗、风情、风景的展示，建构乡村自身之美，从而彰显乡村文化的丰盈，赋予乡土以中华民族的文化记忆功能。
湖南省雅礼中学2011届高三月考七(数学文)
湖南省雅礼中学2011届高三月考试卷（七）数 学 试 题（文）本试题卷包括选择题、填空题和解答题三部分，时量120分钟。
满分150分。
一、选择题：本大题共8小题，每小题5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．设{1,2,3,4},{2,3},()U U M C M N ==⋃则=（ ） A ．{1，2，3} B ．{2} C ．{1，3，4} D ．{4}2．已知复数z 满足43,i z i +=则复数z 的实部与虚部之和为 （ ）A ．-1B ．7C ．7iD ．-7i3．设条件:0p a >；条件2:0q a a +≥，那么p 是q 的什么条件（ ）A ．充分非必要条件B ．必要非充分条件C ．充分且不必要条件D ．非充分非必要条件4．如图给出的是计算111124620++++的值的一个框图，其中菱形判 断框内应填入的条件是 （ ）A ．8?i >B ．9?i >C ．10?i >D ．11?i >5 ）参考公式：独立性检测中，随机变量22()()()()()n ad bc K a b c d a c b d -=++++6．方程3log 30x x +-=的解所在的区间是（ ） A ．（0，1） B ．（1，2） C ．（2，3） D ．（3，4）7．若圆C 的半径为1，圆心在第一象限，且与直线430x y -=和x 轴相切，则该圆的标准方程是（ ）A ．22(2)(1)1x y -++=B ．22(2)(1)1x y -+-=C ．22(2)(1)1x y ++-=D ．22(3)(1)1x y -+-= 8．对任意的实数a ，b ，记()max{,}()a a b a b b a b ≥⎧=⎨<⎩若()max{(),()}()F x f x g x x R =∈，其中奇函数y=f(x)在x=1时有极小值-2，y=g(x)是正比例函数，()y f x =（0x ≥）与函数()y g x =的图象如图所示，则下列关于函数()y F x =的说法中，正确的是（ ）A ．()y F x =为奇函数B ．()y F x =有极大值(1)F 且有极小值(1)F -C ．()y F x =的最小值为-2且最大值为2D ．()y F x =在（-3，0）上不是单调函数二、填空题：本大题共8小题，每小题5分，满分35分，把答案填在答题卡中对应题号的横线上。
湖南省长沙市雅礼中学高三下学期第七次月考生物试题()
雅礼中学2022届高三月考试卷（七）生物注意事项：1.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。
2.回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑。
如需改动，用橡皮擦干净后，再选涂其他答案标号。
回答非选择题时，将答案写在答题卡上。
写在本试卷上无效。
3.考试结束后，将本试卷和答题卡一并交回。
一、选择题：本题共12小题，每小题2分，共24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.水和矿质元素对植物的生命活动影响非常巨大。
民间有句谚语“有收无收在于水，收多收少在于肥”。
下列说法正确的是C.冬季，植物体内的自由水相对含量升高，以增强植物的抗寒能力D.少数矿质元素以化合物的形式存在，如Mg存在于叶绿体的各种色素中2.细胞作为生命系统中最基本的层次，可以完成多项生命活动。
下列有关细胞结构和功能的叙述，正确的是A.蛋白质是生命活动的主要承担者，都是由内质网上附着的核糖体合成的B.黑藻和蓝藻都是自养生物，其光合色素都分布在叶绿体的类囊体薄膜上C.真核细胞的生物膜系统保证细胞内能够同时进行多种反应且互不干扰D.内质网膜可与核膜、高尔基体膜、细胞膜直接相连，有利于物质的运输3.细胞可运用不同的方式跨膜转运物质，下列相关叙述错误的是A.物质自由扩散进出细胞的速度与浓度梯度有关，与分子大小无关+的通道蛋白和运出Na+的载体蛋白都具有特异性A.组织细胞的更新涉及细胞分裂、分化等过程D.细胞癌变和细胞凋亡都是基因选择性表达的结果，前者是异常表达，后者是正常表达5.如图为某哺乳动物体内细胞连续进行两次分裂的示意图，有关叙述正确的是A.若细胞甲为卵原细胞，则细胞丙一定是卵细胞B.若两次分裂均出现着丝点分裂，则甲、乙、丙染色体数相同C.若细胞甲为基因型为Mm的精原细胞，M与m的分离一定发生在第一次分裂过程中D.在细胞分裂的过程中，核DNA分子数和染色体数始终保持一致A、IB、i共同决定，其中I A I A、I A i为A型血，I B I B、I B i为B型血，I A I B为AB型血，ii为O型血。
2024-2025学年湖南省长沙市雅礼中学高三(上)月考数学试卷(9月份)(含答案)
2024-2025学年湖南省长沙市雅礼中学高三（上）月考数学试卷（9月份）一、单选题：本题共8小题，每小题5分，共40分。
在每小题给出的选项中，只有一项是符合题目要求的。
1.设集合A ={x|(x +1)(x−4)<0}，B ={x|2x +a <0}，且A ∩B ={x|−1<x <3}，则a =( )A. 6B. 4C. −4D. −62.已知z 1+i =1−1i ，则|−z |=( )A.2B.22C. 2D. 13.已知f(x)=sin (ωx−π3)(ω∈N)的图象与直线y =a 在区间[0,π]上存在两个交点，则当ω最大时，曲线y =f(x)的对称轴为( )A. x =π24+kπ4，k ∈Z B. x =π30+kπ5，k ∈Z C. x =5π24+kπ4，k ∈Z D. x =π6+kπ5，k ∈Z4.函数f(x)=2x +2−xln( x 2+1−x)的图象大致为( )A. B.C. D.5.若平面单位向量a ，b ，c 满足〈a ,b〉=π6，b ⋅c =0，a ⋅c <0，则|b 2c ||a +c |( )A.5B.3C.153D.536.石雕、木雕、砖雕被称为建筑三雕.源远流长的砖雕，由东周瓦当、汉代画像砖等发展而来，明清时代进入巅峰，形成北京、天津、山西、徽州、广东、临夏以及苏派砖雕七大主要流派.苏派砖雕被称为“南方之秀”，是南方地区砖雕艺术的典型代表，被广泛运用到墙壁、门窗、檐廊、栏槛等建筑中.图(1)是一个梅花砖雕，其正面是一个扇环ABCD ，如图(2)，砖雕厚度为6cm ，AD =80cm ，CD =3AB ，CD 所对的圆心角为直角，则该梅花砖雕的表面积为(单位：cm 2)( )A. 3200πB. 480π+960C. 6880π+960D. 3680π+9607.已知过抛物线C ：y 2=2px(p >0)的焦点F 的直线与C 交于A ，B 两点，线段AB 的中点为M(x 0,y 0)，且|AB|=2x 0+1，Q(t,−2−t)，若点P 在抛物线C 上，则|PQ|的最小值为( )A.3 24B.3 22C.3 34D.328.已知数列{a n }满足a 1=3,a n +1−a n =2,4b n =(−1)n +1(1a n +1a n +1)，若数列{b n }的前n 项和为T n ，不等式3T n <λ(3−5λ)(n ∈N ∗)恒成立，则λ的取值范围为( )A. (110,+∞)B. (15,+∞)C. (110,12)D. (15,25)二、多选题：本题共3小题，共18分。
2024-2025学年湖南省长沙市雅礼中学高三(上)月考数学试卷(一)(含答案)
2024-2025学年湖南省长沙市雅礼中学高三（上）月考数学试卷（一）一、单选题：本题共8小题，每小题5分，共40分。
在每小题给出的选项中，只有一项是符合题目要求的。
1.已知集合A ={x |log 2x >1}，B ={x |0<x <4}，则A ∩B =( )A. {x |2<x <4}B. {x |2⩽x <4}C. {x |0<x⩽2}D. {x |x⩽2}2.已知复数z 满足(1―i )z =2i ，且z +ai (a ∈R )为实数，则a =( )A. 1B. 2C. ―1D. ―23.设向量a =(1,0)，b =(12,12)，则下列结论中正确的是( )A. |a |=|b | B. a ⋅b = 22 C. a ―b 与b 垂直 D. a //b4.已知a 是函数f (x )=2x ―log 12x 的零点，若0<x 0<a ，则f (x 0)的值满足( )A. f (x 0)=0B. f (x 0)>0C. f (x 0)<0D. f (x 0)的符号不确定5.若sinx +cosx =13，x ∈(0,π)，则sinx ―cosx 的值为( )A. ± 173 B. ― 173 C. 13 D. 1736.用数字1，2，3，4，5组成的无重复数字的四位偶数的个数为( )A. 8B. 24C. 48D. 1207.函数y =f (x )的图象如图①所示，则如图②所示的函数图象所对应的函数解析式可能为( )A. y =f (1―12x )B. y =―f (1―12x )C. y =f (4―2x )D. y =―f (4―2x )8.刍曹是我国传统建筑造型之一，蕴含着丰富的数学元素.安装灯带可以勾勒出建筑轮廓，展现造型之美.如图，某屋顶可视为五面体ABCDEF ，四边形ABFE 和CDEF 是全等的等腰梯形，△ADE 和△BCF 是全等的等腰三角形.若AB =25m ，BC =AD =10m ，且等腰梯形所在的面、等腰三角形所在的面与底面夹角的正切值均为145.为这个模型的轮廓安装灯带(不计损耗)，则所需灯带的长度为( )A. 102mB. 112mC. 117mD. 125m二、多选题：本题共3小题，共18分。
湖南省长沙市一中2011届高三月考(七)数学文
湖南省长沙市一中2011届高三月考（七）2011 届 高 三 月 考（七）数 学 试 题（文）（考试范围：高考文科内容（不含优选法应用））本试题卷包括选择题、填空题和解答题三部分，共6页。
时量120分钟。
满分150分。
一、选择题：本大题共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．复数z ＝11＋2i （i 为虚数单位）所对应的点在（ ）A ．第一象限B ．第二象限C ．第三象限D ．第四象限 2．设集合A ＝⎩⎨⎧⎭⎬⎫x ⎪⎪x ≤12，m ＝sin20°，则下列关系中正确的是（ ）A ．m ⊆AB ．m ∉AC ．{}m ∈AD ． {}A m ⊂≠3．设命题p ：∀x ∈R ，|x |≥x ；q ：∃x ∈R ，1x＝0．则下列判断正确的是（ ）A ．p 假q 真B ．p 真q 假C ．p 真q 真D ．p 假q 假4．下列函数中，既是周期为π的周期函数又是偶函数的是 （ ） A ．y ＝10x B ．y ＝tan x C ．y ＝sin2x D ．y ＝|cosx|5．某公司2005～2010年的年利润x （单位：百万元）与年广告支出y （单位：百万元）的统计资料如下表所示：（ ）A ．利润中位数是16，x 与y 有正线性相关关系B ．利润中位数是18，x 与y 有负线性相关关系C ．利润中位数是17，x 与y 有正线性相关关系D ．利润中位数是17，x 与y 有负线性相关关系6．双曲线x 2a 2－y 2b 2＝1（a ，b>0）的渐近线与圆（x －3）2＋y 2＝3相切，则双曲线的离心率为（ ）A ．62B ． 3C ．2 3D ．67．设函数()221log ()x f x a x+=-在区间()0，＋∞内有零点，则实数a 的取值范围是（ ）A ．（0，＋∞）B ．（－∞，1]C ．[1，＋∞）D ．[2，＋∞）8．定义{},,min ,,.b a b a b a a b ≥⎧=⎨<⎩设实数x ，y 满足约束条件2211x y ⎧≤⎪⎨≤⎪⎩，则{}min 2,-z x y x y =+的取值范围为（ ）A ．[－2，12]B ．[－52，－12]C ．[－2,3]D ．[－3，32]二、填空题：本大题共7小题，每小题5分，共35分，把答案填在答题卡中对应题号后的横线上． 9．在极坐标系中，A （1，π6）、B （2，π2）两点的距离为 ．10．设平面向量a ＝（1,2），b ＝（－2，y ），若a ∥b ，则||3a ＋b 等于 ．11．一空间几何体的三视图（单位：cm ）如图所示，则此几何体的体积是cm 3．12．若{a n }为等差数列，S n 是其前n 项和．且S 11＝22π3，则tan a 6的值为 ．13．直线l ：x －y ＝0与椭圆x 22＋y 2＝1相交A 、B 两点，点C 是椭圆上的动点，则△ABC 面积最大值为 ．14．直线l ：x －3y ＝0与曲线⎪⎩⎪⎨⎧ϕ=ϕ+=sin 2cos 2:y a x C （φ为参数，a >0）有两个公共点A ，B ，且||AB ＝2，则实数a 的值为 ；在此条件下，以直角坐标系的原点为极点，x轴正方向为极轴建立极坐标系，则曲线C 的极坐标方程为 ．15．对于三次函数f （x ）＝ax 3＋bx 2＋cx ＋d （a ≠0），定义：设f ″（x ）是函数y ＝f （x ）的导数y ＝f ′（x ）的导数，若方程f ″（x ）＝0有实数解x 0，则称点()x 0，f (x 0)为函数y ＝f （x ）的“拐点”．有同学发现“任何一个三次函数都有“拐点”；任何一个三次函数都有对称中心；且“拐点”就是对称中心．”请你根据这一发现，求： （1）函数f （x ）＝x 3－3x 2＋3x 对称中心为 ；（2）若函数g （x ）＝13x 3－12x 2＋3x －512＋1x －12，则g （12011）＋g （22011）＋g （32011）＋g （42011）＋…＋g （20102011）＝ ．三、解答题：本大题共6小题，共75分．解答应写出文字说明，证明过程或演算步骤．16．（本小题满分12分）已知函数f （x ）＝a sin x ＋b cos （x －π3）的图象经过点（π3，12），（7π6，0）．（1）求实数a ，b 的值；（2）求函数f （x ）在[0，π]上的单调递增区间．17．（本小题满分12分）如图：在矩形ABCD 中，AB ＝5，BC ＝3，沿对角线BD 把△ABD 折起，使A 移到A1点，过点A 1作A 1O ⊥平面BCD ，垂足O 恰好落在CD 上． （1）求证：BC ⊥A 1D ；（2）求直线A 1B 与平面BCD 所成角的正弦值． 18．（本小题满分12分）某校高一某班的一次数学测试成绩的茎叶图和频率分布直方图都受到不同程度的破坏，但可见部分如下，据此解答如下问题：（1）求分数在[50,60）的频率及全班人数；（2）求分数在[80,90）之间的频数，并计算频率分布直方图中[80,90）间的矩形的高； （3）若要从分数在[80,100]之间的试卷中任取两份分析学生失分情况，在抽取的试卷中，求至少有一份分数在[90,100]之间的概率． 19．（本小题满分13分）工厂生产某种产品，次品率p 与日产量x （万件）间的关系为⎪⎪⎩⎪⎪⎨⎧>≤<-=c x c x x p ,320,61，（c 为常数，且0<c <6）．已知每生产1件合格产品盈利3元，每出现1件次品亏损1．5元．（1）将日盈利额y （万元）表示为日产量（万件）的函数；（2）为使日盈利额最大，日产量应为多少万件？（注：次品率＝次品数产品总数×100%）20．（本小题满分13分）已知f （x ）＝m x （m 为常数，m >0且m ≠1）． 设f （a 1），f （a 2），…，f （a n ）…（n ∈N ）是首项为m 2，公比为m 的等比数列． （1）求证：数列{a n }是等差数列； （2）若b n ＝a n ·f （a n ），且数列{b n }的前n 项和为S n ，当m ＝2时，求S n ； （3）若c n ＝f （a n ）lg f （a n ），问是否存在m ，使得数列{c n }中每一项恒小于它后面的项？若存在，求出m 的范围；若不存在，请说明理由．21．（本小题满分13分）已知动圆G 过点F （32，0），且与直线l ：x ＝－32相切，动圆圆心G 的轨迹为曲线E ．曲线E 上的两个动点A （x 1，y 1）和B （x 2，y 2）．（1）求曲线E 的方程；（2）已知OA ·OB ＝－9（O 为坐标原点），探究直线AB 是否恒过定点，若过定点，求出定点坐标；若不过，请说明理由．（3）已知线段AB 的垂直平分线交x 轴于点C ，其中x 1≠x 2且x 1＋x 2＝4．求△ABC 面积的最大值．参考答案一、选择题：本大题共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—5 DDBDC 6—8 ACD二、填空题：本大题共7小题，每小题5分，共35分，把答案填在答题卡中对应题号后的横线上． 9．在极坐标系中，A （1，π6）、B （2，π2）两点的距离为．10．设平面向量a ＝（1,2），b ＝（－2，y ），若a ∥b ，则||3a ＋b 等于5． 11．一空间几何体的三视图（单位：cm ）如图所示，则此几何体的体积是4πcm 3． 12．若{a n }为等差数列，S n 是其前n 项和．且S 11＝22π3，则tan a 6的值为13．直线l ：x －y ＝0与椭圆x 22＋y 2＝1相交A 、B 两点，点C 是椭圆上的动点，则△ABC 面14．直线l ：x －3y ＝0与曲线⎪⎩⎪⎨⎧ϕ=ϕ+=sin 2cos 2:y a x C （φ为参数，a >0）有两个公共点A ，B ，且||AB ＝2，则实数a 的值为 2 ；在此条件下，以直角坐标系的原点为极点，x 轴正方向为极轴建立极坐标系，则曲线C 的极坐标方程为 ρ2－4ρcos θ＋2＝0 ． 15．（1）函数f （x ）＝x 3－3x 2＋3x 对称中心为 （1,1） ；（2）若函数g （x ）＝13x 3－12x 2＋3x －512＋1x －12，则g （12011）＋g （22011）＋g （32011）＋g （42011）＋…＋g （20102011）＝ 2010 ．三、解答题：本大题共6小题，共75分．解答应写出文字说明，证明过程或演算步骤． 16．解：（1）∵函数f （x ）＝a sin x ＋b cos （x －π3）的图象经过点（π3，12），（7π6，0）．∴12102b a +=⎨⎪-=⎪⎩，（4分） 解得：a ＝3，b ＝－1．（5分）（2）由（1）知：f （x ）＝3sin x －cos （x －π3）＝32sin x －12cos x ＝sin （x －π6）．（9分）由2k π－π2≤x －π6≤2k π＋π2，解得2k π－π3≤x ≤2k π＋2π3k ∈Z ．∵x ∈[0，π]，∴x ∈[0，2π3]，∴函数f （x ）在[0，π]上的单调递增区间为[0，2π3]．（12分）17．解：（1）因为A 1O ⊥平面BCD ，BC ⊂平面BCD ，∴BC ⊥A 1O ，因为BC ⊥CD ，A 1O ∩CD ＝O ，∴BC ⊥面A 1C D ． 因为A 1D ⊂面A 1CD ，∴BC ⊥A 1 D ．（6分）（2）连结BO ，则∠A 1BO 是直线A 1B 与平面BCD 所成的角． 因为A 1D ⊥BC ，A 1D ⊥A 1B ，A 1B ∩BC ＝B ，∴A 1D ⊥面A 1B C ．A 1C ⊂面A 1BC ，∴A 1D ⊥A 1 C ．在Rt △DA 1C 中，A 1D ＝3，CD ＝5，∴A 1C ＝4．根据S △A 1CD ＝12A 1D ·A 1C ＝12A 1O ·CD ，得到A 1O ＝125，在Rt △A 1OB 中，sin ∠A 1BO ＝A 1O A 1B ＝1255＝1225．所以直线A 1B 与平面BCD 所成角的正弦值为1225．（12分）18．解：（1）分数在[50,60）的频率为0．008×10＝0．08，（2分）由茎叶图知：分数在[50,60）之间的频数为2，所以全班人数为20.08＝25，（4分） （2）分数在[80,90）之间的频数为25－2－7－10－2＝4；（6分） 频率分布直方图中[80,90）间的矩形的高为425÷10＝0．016．（8分）（3）将[80,90）之间的4个分数编号为1,2,3,4，[90,100]之间的2个分数编号为5,6， 在[80,100]之间的试卷中任取两份的基本事件为： （1,2），（1,3），（1,4），（1,5），（1,6）， （2,3），（2,4），（2,5），（2,6）， （3,4），（3,5），（3,6）， （4,5），（4,6）， （5,6）共15个，（10分）其中，至少有一个在[90,100]之间的基本事件有9个， 故至少有一份分数在[90,100]之间的概率是915＝0．6．（12分）19．解：（1）当x >c 时，p ＝23，y ＝13·x ·3－23·x ·32＝0；（2分）当0<x ≤c 时，p ＝16－x，∴y ＝（1－16－x ）·x ·3－16－x ·x ·32＝32·9x －2x26－x ．（4分）∴日盈利额y （万元）与日产量x （万件）的函数关系为23(92)02(6)0 x x x c y x x c ⎧-<≤⎪=-⎨⎪>⎩．（5分）（2）由（1）知，当x >c 时，日盈利额为0． 当0<x ≤c 时，∵y ＝3(9x －2x 2)2(6－x )，∴y ′＝32·(9－4x )(6－x )＋(9x －2x 2)(6－x )2＝3(x －3)(x －9)(6－x )2，令y ′＝0，得x ＝3或x ＝9（舍去）．∴①当0<c <3时，∵y ′>0，∴y 在区间（0，c ]上单调递增， ∴y 最大值＝f （c ）＝3(9c －2c 2)2(6－c )，此时x ＝c ；②当3≤c <6时，在（0,3）上，y ′>0，在（3，c ）上y ′<0， ∴y 在（0,3）上单调递增，在（3，c ）上单调递减． ∴y 最大值＝f （3）＝92．综上，若0<c <3，则当日产量为c 万件时，日盈利额最大； 若3≤c <6，则当日产量为3万件时，日盈利额最大．（13分）20．解：（1）由题意f （a n ）＝m 2·m n ＋1，即ma n ，＝m n ＋1．∴a n ＝n ＋1，（2分） ∴a n ＋1－a n ＝1，∴数列{a n }是以2为首项，1为公差的等差数列．（4分）（2）由题意b n ＝a n f （a n ）＝（n ＋1）·m n ＋1，当m ＝2时，b n ＝（n ＋1）·2n ＋1∴S n ＝2·22＋3·23＋4·24＋…＋（n ＋1）·2n ＋1 ①（6分） ①式两端同乘以2，得2S n ＝2·23＋3·24＋4·25＋…＋n ·2n ＋1＋（n ＋1）·2n ＋2 ② ②－①并整理，得S n ＝－2·22－23－24－25－…－2n ＋1＋（n ＋1）·2n ＋2＝－22－（22＋23＋24＋…＋2n ＋1）＋（n ＋1）·2n ＋2＝－22－22(1－2n )1－2＋（n ＋1）·2n ＋2＝－22＋22（1－2n ）＋（n ＋1）·2n ＋2＝2n ＋2·n ．（9分）（3）由题意c n ＝f （a n ）·lg f （a n ）＝m n ＋1·lg m n ＋1＝（n ＋1）·m n ＋1·lg m ，要使c n <c n ＋1对一切n ∈N *成立，即（n ＋1）·m n ＋1·lg m <（n ＋2）·m n ＋2·lg m ，对一切n ∈N *成立， ①当m >1时，lg m >0，所以n ＋1<m （n ＋2）对一切n ∈N *恒成立；（11分） ②当0<m <1时，lg m <0，所以等价使得n ＋1n ＋2>m 对一切n ∈N *成立，因为n ＋1n ＋2＝1－1n ＋2的最小值为23，所以0<m <23．综上，当0<m <23或m >1时，数列{c n }中每一项恒小于它后面的项．（13分）21．解：（1）依题意，圆心G 到定点F （32，0）的距离与到直线l ：x ＝－32的距离相等，∴曲线E 是以F （32，0）为焦点，直线l ：x ＝－32为准线的抛物线．∴曲线E 的方程为y 2＝6x ．（3分）（2）当直线AB 不垂直x 轴时，设直线AB 方程为y ＝kx ＋b （k ≠0）． 由26y kx b y x=+⎧⎨=⎩消去x 得ky 2－6y ＋6b ＝0，Δ＝36－24kb >0． y 1y 2＝6b k ，x 1x 2＝y 216·y 226＝(y 1y 2)236＝b 2k2．OA ·OB ＝x 1x 2＋y 1y 2＝b 2k 2＋6bk＝－9，∴b 2＋6kb ＋9k 2＝0，（b ＋3k ）2＝0，b ＝－3k ，满足Δ>0．∴直线AB 方程为y ＝kx －3k ，即y ＝k （x －3）， ∴直线AB 恒过定点（3,0）．（7分）当直线AB 垂直x 轴时，可推得直线AB 方程为x ＝3，也过点（3,0）． 综上，直线AB 恒过定点（3,0）．（8分） （3）设线段AB 的中点为M （x 0，y 0），则 x 0＝x 1＋x 22＝2，y 0＝y 1＋y 22，k AB ＝y 1－y 2x 1－x 2＝y 1－y 2y 216－y 226＝6y 1＋y 2＝3y 0． ∴线段AB 的垂直平分线的方程为y －y 0＝－y 03（x －2）．令y ＝0，得x ＝5，故C （5,0）为定点．又直线AB 的方程为y －y 0＝3y 0（x －2），与y 2＝6x 联立，消去x 得y 2－2y 0y ＋2y 20－12＝0． 由韦达定理得y 1＋y 2＝2y 0，y 1y 2＝2y 20－12． ∴|AB |＝1＋1k 2AB ·|y 1－y 2|＝(1＋y 209)[(y 1＋y 2)2－4y 1y 2]＝(1＋y 209)[4y 20－4(2y 20－12)]＝23(9＋y 20)(12－y 20)． 又点C 到直线AB 的距离为h ＝|CM |＝9＋y 20，∴S △ABC ＝12|AB |·h ＝13(9＋y 20)2(12－y 20) 令t ＝9＋y 20（t >9），则12－y 20＝21－t ．设f （t ）＝（9＋y 20）2（12－y 20）＝t 2（21－t ）＝－t 3＋21t 2， 则f ′（t ）＝－3t 2＋42t ＝－3t （t －14）．当9<t <14时，f ′（t ）>0；当t >14时，f ′（t ）<0．∴f （t ）在（9,14）上单调递增，在（14，＋∞）上单调递减．∴当t ＝14时，[f （t ）]max ＝142×7．故△ABC 面积的最大值为1437．（13分）注：第（3）问也可由AB 直线方程y ＝kx ＋b 及x 1＋x 2＝4，推出b ＝3k －2k ，然后转化为求关于k 的函数的最值问题．。
雅礼中学2011届高三第七次月考英语试题及答案
湖南省雅礼中学2011届高三月考试卷（七）英语试题本试卷分为四个部分，包括听力、语言知识运用、阅读和书面表达。
时量120分钟。
满分150分。
Part ⅠListening Comprehension（30 marks）Seetion A (22.5 marks)Directions: In this section, you will hear six conversations between two speakers. For each conversation, there are several questions and each question is followed by three choices marked A, B and C. Listen carefully and then choose the best answer for each question.You will hear each conversation TWICE.Conversation 11．Where are Betty and Tom talking?A．Over telephone. B．At home. C．In the office. 2．When will Betty drive over to Tom’s place?A．At six. B．A seven. C．At eight. Conversation 23．Where does the conversation probably take place?A．In a lab building. B．In a chemistry lab. C．In the library. 4．Which of the following is not mentioned in this dialogue?A．Wash hands. B．Read the instructions aloud. C．Turn off the electricity. Conversation 35．What can we learn from the conversation?A．One of the man’s friends was just married.B．The woman doesn’t want to get up early.C．The party had been going on for three hours.6．Why will the woman get up early tomorrow morning?A．To catch a train. B．To go to work. C．The dialogue doesn’t tell us.Conversation 47．Why does Anne consider changing her job?A．She will get more money.B．She doesn’t like her present job.C．Her present job is not interesting.8．What does Robert want to do?A．He wants to give Anne a hand.B．He also wants to get that job.C．He wants to give Anne a job.9．Why hasn’t Anne made her decision?A．Because the work is interesting.B．Because she is afraid not to fit for that job.C．Because her friend is not willing to help her.Conversation 510．What are the speakers talking about?A．How to help Jane with her study.B．What college Jane should enter.C．What major Jane should choose.11．What does the man think of Jane’s present concern?A．It’s terrible. B．It’s normal. C．It’s unbelievable. 12．What doesn’t the man suggest the woman do?A．Have a serious talk with Jane.B．Ask Jane to put the college off for a while.C．Ask Jane to get the scholarship.Conversation 613．Where is the woman now?A．At a hotel. B．At a party. C．At home.14．What does the man suggest the woman do first?A．Report the handbag to the Lost ＆Found Desk.B．Look for the handbag under all the tables.C．Buy another handbag to Lisa.15．What is the woman going to do next?A．Buy Lisa a new handbag.B．Call Lisa and tell her she lost the handbag.C．Wait until Lisa talks to her about the handbag.Section B (7.5 marks)Directions: In this section, you will hear a short passage. Listen carefully and then fill in the numbered blanks with the information you have heard. Fill in each blank with NO MORE THAN THREE WORDS.Section A (15 marks)Directions: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence.Example:The wild flowers looked like a soft orange blanket the desert.A．covering B．covered C．cover D．to coverThe answer is A.21．—How did it come that you damaged your car so badly?—I into a tree on the roadside the other day.A．ran B．had run C．was running D．run22．By no means to go hiking this weekend. She has too much homework to do.A．will Jane agree B．Jane will agreeC．Jane will disagree D．will Jane disagree23．David applied for the position three times he finally got it.A．until B．when C．before D．after 24．This is the time—I’m at the reception hall. The guests arrive at any moment.A．must B．need C．should D．can 25．with designing the bridge, the engineer has no time to take care of his sick mother.A．Occupied B．Having occupied C．Occupying D．To occupy 26．—Say less about yourself, and more about your teammates have done.—I will.A．which B．why C．that D．what 27．Don’t tell him the good news until the match . Otherwise he’ll be too excited to concentrate on the match.A．will be finished B．has finished C．is finished D．finished 28．I wonder why Jack always gets good marks when he does only the others.A．half as much as B．as much as half C．half as many as D．as many as half29．The farm we learned to feed cattle two years ago has changed a lot.A．when B．which C．that D．where 30．to use last month, the new machine has been solving the problems easily.A．Put B．Putting C．Having put D．Being put 31．The short man stood on a wooden box what was happening inside the house more clearly.A．seeing B．seen C．see D．to see 32．For Tom this was the beginning of a new life, he thought he would never have.A．what B．that C．one D．it33．She the exam, but she didn’t work hard.A．must have passed B．has passedC．had passed D．could have passed34．I heard that you really had a wonderful time at John’s birthday party, ?A．didn’t I B．didn’t you C．hadn’t you D．will you 35．What I want to say that we can go to either of the countries.A．were B．are C．was D．isSection B(18 marks)Diections: For each blank in the following passage there are four words or phrases marked A,B,C and D. Fill in each blank with the word or phrase that best fits the context.Ficture a piece of cake filled with cream and decorated with fruit and nuts. Hungry? 36as it sounds, showing weight-conscious women pictures of attractive, sweet foods 37 their resolution to eat healthily, rather than encouraging them to eat the unhealthy foods.Advertisers firmly believe images of tasty foods persuade people to buy the goods 38 psychologist Floor Kroese thought that temptation(诱惑) might in fact heighten self-control. To prove this theory, Kroese and her colleagues, 39 a memory test, asked fifty-four 40 students to look at a picture of either a slice of chocolate cake or a flower. The researchers then questioned the students about their diets and offered them a choice between 41 and the oatmeal cookie.Women shown the cake picture gave a higher priority to their healthy eating 42 than those shown the flower. They were also significantly more likely to pick the oatmeal cookie –which was generally considered as the healthier choice.“It seems that seeing a food temptation reminded people of their goals of watching their weight, and thus 43 them to act in an appropriate manner,” says Kroese.44 studies suggested that smelling tasty, unhealthy foods made people rate healthy eating as highly important, but this is the first research to look at how seeing unhealthy foods 45 snacking behavior.Kroese suggests that sticking pictures of tempting foods on the refrigerator door may help bring weight-watching goals to mind. But she 46 that the results can only be applied to women wanting to lose weight; it is unclear whether they would be so to the general 47 .The findings suggest that while very tempting images seem to remind people of their weight-loss goals, weekly attractive images perhaps could then be more dangerous. 36．A．Actually B．Obviously C．Usually D．Unlikely 37．A．tests B．strengthens C．reflects D．weakens 38．A．so B．because C．but D．though 39．A．in charge of B．in the name ofC．in preparation for D．in comparison with40．A．smart B．young C．slim D．female 41．A．chocolate B．milk C．flowers D．eggs 42．A．menus B．advice C．intentions D．secrets 43．A．enabled B．required C．forced D．persuaded 44．A．Medical B．Professional C．Similar D．Previous 45．A．causes B．corrects C．affects D．speeds 46．A．realizes B．cautions C．predicts D．suspects 47．A．population B．research C．opinion D．situation Section C (12 marks)Directions: Complete the following passage by filling in each blank with one word that best fits the context.All countries have a different business culture. Singapore is considered to be one of the best place in the world to work because of 48. particular work culture.Generally speaking, the work culture of Singapore is a mix of Asian and Western influences. The government of Singapore allows various cultures to grow together 49. harmony.Like in many other countries, in Singapore, the “face”plays an important role. People wouldn’t do anything 50. would make them or their families or friends disrespected in the society. Keeping a good image in all aspects of 51. is important to one’s success. It’sassociated with having a good character and good personal qualities. This is 52. people don’t say “no” or “I can’t” directly, but reply that “I’ll try” or “I’ll let you know”.Work culture in Singapore is quite flexible as to white-collar jobs. They work 8 to 9 hours a day, 5 days a week. Professional jobs don’t require you to work overtime, 53. if it is so, you’re paid 1.5 times the basic hourly rate.If you love being in an advanced country 54. different nationalities and learning new cultures, then Singapore is 55. place to work and live in!Part III Reading comprehension (30 marks)Directions: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage.ABIG DAY: New Canadian citizen Pemelika Fiaui poses with his son Tyler, 4, outside of The Playhouse on Tuesday.The ceremony marked the end of a five-year journey for Pemelika Fiaui of Western Samoa.Fiaui, a 6'4", 240-pound member of local rugby team Black Spruce, said the day was emotional."I was really happy to get my citizenship today; it was a long process," he said. "I couldn't have done this without the support of my wife, my in-laws and my two kids, who have been so supportive of me."Fiaui, a firefighter by trade, arrived in New Brunswick in 2003 and found work with the parks and trails department with the City of Fredericton. He became involved with the local rugby scene, and for the past three years is back in his chosen field as a relief firefighter with the Fredericton Fire Department."I've met so many great people since I've been in Fredericton, and this is a very special day for me and my family. I'm happy to be a Canadian, but I'm also glad that I still hold dual citizenship in Western Samoa as well."The citizenship ceremony was overseen by a number of dignitaries(政府要员), including Lt.-Gov. Hermenegilde Chiasson, MP Andy Scott, Mayor Brad Woodside and John Barrett, director of operations for Citizenship and Immigration Canada.Chiasson joked by welcoming the new Canadians "to the country that invented ice skates, maple syrup and the case of beer with the built-in handle."The day was also special for Jean-Jacques Tshimenga, his wife Sarah, and their three children, formerly of the Democratic Republic of Congo."Canada Day is the day to celebrate the independence and freedom that we have in this country," he said.56．Most probably, Finaui’s son Tyler was born in .A．Western Samoa B．the Democratic Republic of CongoC．Canada D．Black Spruce57．It was an emotional day for Fiaui, because .A．he became a member of the local rugby team Black SpruceB．he could get away from Western SamoaC．he became a CanadianD．he was chosen as a relief firefighter58．What can we infer from the passage?A．Fiaui has been a firefighter for 5 years.B．Fiaui is still a citizen in Western Samoa.C．Fiaui is rugby player.D．Only the Fiaui family attended the ceremony.59．The country that invented ice skates, maple syrup and the case of beer with the built-in handle refers to .A．New Brunswick B．Western SamoaC．the Democratic Republic of Congo D．Canada60．Which of the following might be the best title?A．Big day for Fiaui—a new CanadianB．The story of Fiaui, a firefighterC．Canada Day—the day to celebrate independence and freedomD．A five-year journey of FiauiBWe’ve all been there, finishing a whole bag of chips out of boredom or downing cookie after cookie while cramming for a big test. But when done a lot—especially without realizing it—emotional eating can affect weight, health, and overall well-being.Not many of us make the connection between eating and our feelings. But understanding what drives emotional eating can help people take steps to change it.One of the biggest myths about emotional eating is that it's prompted by negative feelings. Yes, people often turn to food when they're stressed out, lonely, sad, anxious, or bored. But emotional eating can be linked to positive feelings too, like the romance of sharing dessert on Valentine's Day or the celebration of a holiday feast.Sometimes emotional eating is tied to major life events, like a death or a divorce. More often, though, it's the countless little daily stresses that cause someone to seek comfort or distraction in food.Emotional eating patterns can be learned: A child who is given candy after a big achievement may grow up using candy as a reward for a job well done. A kid who is given cookies as a way to stop crying may learn to link cookies with comfort. It's not easy to "unlearn" patterns of emotional eating. But it is possible. And it starts with an awareness of what's going on.We’re all emotional eaters to some extent (who hasn’t suddenly found room for dessert after a filling dinner?). But for some people, emotional eating can be a real problem, causing serious weight gain.The trouble with emotional eating (aside from the health issues) is that once the pleasure of eating is gone, the feelings that cause it remain. And you often may feel worse about eating the amount or type of food you did. That’s why it helps to know the differences between physical hunger and emotional hunger.Next time you reach for a snack, check in and see which type of hunger is driving it. 61．People turn to emotional eating because .A．they are preparing for the testB．they enjoy the pleasure of eatingC．they feel better after eatingD．they want to seek comfort or distraction62．By saying “We’ve all been t here”, the author means .A．finishing a whole bag of chips out of boredom is badB．we are all emotional eaters to some extentC．our health will be affected by emotional eatingD．people eat more without realizing it63．According to the passage, what is the cause of emotional eating?A．Candies and cookies.B．Countless daily stresses.C．Negative feelings as well as positive feelings.D．Boredom and the test.64．If you want to break away from the patterns of emotional eating, the first thing you should do is to .A．tell physical hunger from mental hunger B．realize what is happeningC．stop seeking comfort from food D．relax and try to lose weight 65．Which of the followings is NOT true?A．The romance of sharing dessert on Valentine’s Day is good for our health.B．Major life events, like a death or a divorce contribute to emotional eating.C．We learn emotional eating when we are children.D．We may feel worse after emotional eating.CResearchers combing the rainforests of Brazil have uncovered four new species of fungi that turns ants into zombies(僵尸). Although it is not the first time the first time the has been seen affecting ants, the discovery of four distinct species highlights the level of biodiversity in the Amazon.The study, led by Assistant Professor David Hughes of the University of Pennsylvania, appears online in the journal PLoS One.Ants become infected when they come into contact with spores(孢子) released by the fungus. Within a week the ant enters a “zombie-like”state. “This so-called zombie fungus changes the behaviors of the ant, causing it to die in an exposed position,”the study authors write. The fungus then grows outof the head of the ant, releasing spores into the air, which rain down onto unsuspecting ants and the forest floor.In 2009, Hughes led a team of researchers studying “zombie-ants” in Indonesia. They found the infected ants consistently attached to leaves 25 centimeters (9.8 inches) above the ground in an environment with 95 percent humidity(湿度)—perfect conditions for the fungus to grow.In the current study, Hughes and colleagues found each species of fungus was different in size and shape, and adapted to live only in one particular species. Two of the species of fungus have also adapted to grow secondary spores, doubling their chances of finding a new host.Steve Shattuck, an ecologist with CSIRO Ecosystem Sciences says there are records of thefungus existing in Australia, but its range is limited to tropical(热带的) regions of Australia.“It’s hard to find. Exactly how common it is, who knows? But obviously if it was too common it would kill all the ants and then go away,” says Shattuck.And despite the fungus’ability at destroying a whole colony of ants, Shattuck says its potential for use in pest control is very limited.“What the paper found was that the fungi were species specific,” he sys. “So unless one of ants was your pest it doesn’t do you any good.”It also means the possibility that the fungi will turn our 2000 species of Australian ant into a zombie army is highly remote.66．Fungus can turn ants into zombies by .A．getting into their headsB．making the ants infected with sporesC．adapting to the environmentD．changing themselves into spores67．In which of the following are you most likely to find the fungus?A．America.B．The tropical regions of Australia.C．England.D．Egypt.68．According to the passage, which of the followings is a host?A．The fungus.B．The spores.C．The ants.D．The leaves.69．From what Steve Shattuck has said, we can infer that .A．the 2000 species of Australian ant are in great dangerB．fungus can be used in pest controlC．it is common to see zombie armies in AustraliaD．we needn’t worry about that the fungus will kill all the ants in Australia70．What is the main idea of the passage?A．How ants are turned into zombies.B．The discovery of four new species of fungi that turns into zombies.C．The discovery of four distinct species highlights the level of biodiversity in the Amazon.D．How fungus develop and kill zombies.Part IV Writing (45 marks)Section A (10 marks)Directions: Read the following passage. Fill in the numbered blanks by using the information from the passage.Write NO MORE THAN THREE WORDS for each answer.While the debate over school uniforms is complicated, the pros of wearing school uniforms are obvious.Most teachers and school officials feel that school uniforms make a better student. They believe that the uniforms reduce distractions(分心) and discipline problems. Some students have turned school into an unending fashion show. This distracts from learning as some kids spendmore time focused on their clothes than on homework. Some say that a child in a school uniform is more likely to take school seriously. Putting on the school uniform signals he or she is going to school just like dad dresses up to go to work. Schools report that when students dress in “work clothes”rather than “play clothes”they take a more serious approach to their studies. Some teachers feel wearing a school uniform helps build school spirit. Schools report an increase in school pride after introducing a uniform policy.To many parents, uniforms are a less-expensive alternative to shopping at specialty and department stores. They are becoming far less expensive than many other clothes. They argue that school uniforms are economical, especially compared to designer clothing. Therefore, in these parents’ eye, students don’t have to worry about whether what they wear looks good or not when they are dressed uniformly. They suggest that if students wore uniforms, their self-image would be based on academic achievement instead of on a wardrobe. They also say school uniforms last longer because they are made for repeated wash and wear. What’s more, school uniforms decrease fighting and violence that arises out of arguments over fashionable clothes. Children invariably tease those who do not have trendy clothes. Those who can’t afford name brand clothes are often sensitive about their clothing. Schools struggling with gang(一帮) problems report that school uniforms help ease tensions.The school uniform actually becomes a means of control by the school to fulfill its functions.Section B (10 marks)Directions: Read the following passage. Answer the questions according to the information given in the passage.Many people are nervous before they take a test. But some people are so consumed by anxiety that they actually defeat themselves, performing poorly on the exam even when they know the material they are being tested on. Recently some researchers say they’ve developed a way to help people with extreme test-taking anxiety to relax before their exams. The technique involves having test-takers write down their fears, and that simple exercise results in a dramaticimprovement in test scores.Why students become so nervous that they are unable to perform in a test-taking situation? Before a test, they start worrying about the consequences. They might even start worrying about whether the exam is going to prevent them from getting into the college they want. And when people worry, it actually uses up attention and memory resources that could otherwise be used to focus on the exam.In a series of laboratory experiments, a group of 20 anxious college students was given a short math test and told to do their best. Afterwards, the students were either asked to sit quietly before taking the test again or to write about their thoughts and fears regarding the upcoming re-test. Researchers created a stressful testing environment, telling the students they would receive money if they did well on the second test. The group of students who sat quietly before retaking the second math test scored worse, their accuracy dropping by 12 percent on the second test. But students who wrote about their fears immediately before the re-test showed an average five percent improvement in accuracy on the second math test.What the researchers showed is that for students who are highly test-anxious, who’d done the writing intervention(干预), all of a sudden there was no relationship between test anxiety and performance. These students who most tended to worry were performing just as well as their classmates who don’t normally get nervous in these testing situations.It is suggested that even if a professor doesn’t allow students to write about their worst fears immediately before an exam or presentation, students should try it themselves at home or in the library and still improve their performance.81．How do the researchers relax people with test-taking anxiety?(No more than 7 words) (2 marks)82．Why do students become nervous when taking an exam? (No more than 6 words) (2 marks) 83．What do the experiments show? (No more than 11 words) (3 marks)84．What is the best title of the passage? (No more than 5 words) (3 marks)SECTION C(25 marks)据报道某市一女子名字很特别，别“张E”。
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湖南省雅礼中学 2011届高三月考试卷（七）
数 学 试 题（文）
本试题卷包括选择题、填空题和解答题三部分，时量120分钟。
满分150分。
一、选择题：本大题共8小题，每小题5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．设{1,2,3,4},{2,3},()U U M C M N ==⋃则= （ ）
A ．{1，2，3}
B ．{2}
C ．{1，3，4}
D ．{4}
2．已知复数z 满足43,i
z i
+=则复数z 的实部与虚部之和为
（ ）
A ．-1
B ．7
C ．7i
D ．-7i
3．设条件:0p a >；条件2:0q a a +≥，那么p 是q 的什么条件 （ ）
A ．充分非必要条件
B ．必要非充分条件
C ．充分且不必要条件
D ．非充分非必要条件
4．如图给出的是计算
111124620
++++
的值的一个框图，其中菱形判
断框内应填入的条件是
（ ）
A ．8?i >
B ．9?i >
C ．10?i >
D ．11?i >
5 ）
独立性检测中，随机变量2
2
()
()()()()
n ad bc K a b c d a c b d -=
++++
A ．0.1%
B ．99.9%
C ．97.5%
D ．0.25%
6．方程3log 30x x +-=的解所在的区间是
（ ）
A ．（0，1）
B ．（1，2）
C ．（2，3）
D ．（3，4）
7．若圆C 的半径为1，圆心在第一象限，且与直线430x y -=和x 轴相切，则该圆的标准方程是
（ ）
A ．22(2)(1)1x y -++=
B ．22(2)(1)1x y -+-=
C ．22(2)(1)1x y ++-=
D ．22(3)(1)1x y -+-=
8．对任意的实数a ，b ，记()m ax{,}()
a a
b a b b a b ≥⎧=⎨
<⎩若()max{(),()}()F x f x g x x R =∈，其
中奇函数y=f(x)在x=1时有极小值-2，y=g(x)是正比例函数，()y f x =（0x ≥）与函数
()y g x =的图象如图所示，则下列关于函数()y F x =的说法中，正确的是
（ ）
A ．()y F x =为奇函数
B ．()y F x =有极大值(1)F 且有极小值(1)F -
C ．()y F x =的最小值为-2且最大值为2
D ．()y F x =在（-3，0）上不是单调函数
二、填空题：本大题共8小题，每小题5分，满分35分，把答案填在答题卡中对应题号的横线上。
（一）必做题（9~14题） 9．若1sin(),(,0),tan 2
2
a π
παα+=
∈-
则= 。
10．抛物线2
2x y =的焦点坐标是 。
11．两根相距9m 的电线杆扯一根电线，并在电线上挂一盏灯，则灯与两端距离均大于3m 的概率为。
12．已知某个几何体的三视图如下，根据图中标出的尺寸（单位：cm ），可得这个几何体的体积是。
13．已知0,0,m n >>向量a=(m,1),b(1-n,1),且a//b ，则
12m n
+的最小值是 。
14．在平面斜坐标系,60xOy xOy ∠=︒中，平面上任一点P 关于斜坐标系的斜坐标是这样
定义的；若12OP xe ye =+
，其中12,e e 分别为与x 轴、y 轴同方向的单位向量，则P
点的坐标为(,).x y
（1）若点P 的斜坐标为（2，-2），则点P 到点O 的距离||O P =
；
（2）以O 为圆心，1为半径的圆在斜坐标系xOy 中的方程为 。
（二）选做题（15~16题，考生只能从中选做一题） 15．（坐标系与参数方程选做题）在极坐标系中，已知两点A 、B 的极坐标分别为
(3,),(4,)3
6
ππ
，则A O B ∆（其中O 为极点）的面积为 。
16．（优选法与实验设计初步选做题）在调试某设备的线路设计中，要选一个电阻，调试者
手中只有阻值分别为0.8,1.2,1.8,3,3.5,4,5k k k k k k k ΩΩΩΩΩΩΩ等七种阻值不等的定值电阻，他用分数法进行优试验时，依次将电阻从小到大安排序号，则第2个试点值
的电阻是 k Ω。
三、解答题：本大题共6小题，共75分，解答应写出文字说明、证明过程或演算步骤。
17．（本小题满分12分） 已知：A B C ∆的三个内角A ，B ，C 所对的边分别为a ，b ，c ，m=（1，1），
(sin sin cos cos )2
n B C B C =-
，且m//n 。
（1）求A 的大小；
（2）若1,a b ==，求.A B C S ∆
18．（本小题满分12分）
某校90名专职教师的年龄状况如下表：
（1）求从表中三个年龄段中分别抽取的人数；
（2）若从抽取的6个教师中再随机抽取2名到相对更加边远的乡村支教，计算这两名教
师至少有一个年龄是35~50岁的教师的概率。
19．（本小题满分12分）
如图所示，在四棱锥P —ABCD 中，平面PAD ⊥平面ABCD ，AB//DC ，PAD ∆是
等边三角形，已知BD=2AD=4，2AB D C == （1）求证：BD ⊥平面PAD ； （2）求三棱锥A —PCD 的体积。
20．（本小题满分13分）
已知等差数列{}n a 的公差为-1，且2712 6.a a a ++=- （1）求数列{}n a 的通项公式n a 与前n 项和;n S
（2）求数列{}n a 的前4项抽去其中一项后，剩下的三项按原来的顺序恰为等比数列{}
n b 的前3项，记{}n b 的前n 项和为.n T 若存在*m N ∈，使对任意*n N ∈总有
λ
+〈m n T S 恒成立，求实数λ的取值范围。
21．（本小题满分13分）
设椭圆
2
2
11
x
y m +=+的两个焦点是12(,0),(,0)(0).F c F c c ->
（1）设E 是直线2y x =+与椭圆的一个公共点，求使得12||||EF EF +取最小值时椭圆的方程；
（2）已知N （0，-1），设斜率为(0)k k ≠的直线l 与条件（1）下的椭圆交不同的两点A ，
B ，点Q 满足
,0AQ Q B N Q AB =⋅=
且，求直线l 在y 轴上截距的取值范围。
22．（本小题满分13分）
已知函数2()ln ().f x ax x a R =+∈ （1）当12
a =
时,求f(x)在区间[1，e]上的最大值和最小值；
（2）如果函数12(),(),()g x f x f x ，在公共定义域D 上，满足12()()()f x g x f x <<，那
么
就
称
()
g x 为“
活动函
数”，已知函数
2
2
2
1211()()2(1)ln ,()2.2
2
f x a x ax a x f x x ax =-++-=
+若在区间(1,)+∞上，函
数12()(),()f x f x f x 是的“活动函数”，求实数a 的取值范围。
参考答案
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