师范大学附属中学2018届高三英语第七次月考试题

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湖南省湖南师范大学附属中学2022-2023学年高三下学期月考卷(七)英语试题(无答案)

湖南师大附中2023届高三月考试卷（七）英语注意事项：1. 答卷前, 考生务必将自己的姓名、考生号、考场号、座位号填写在答题卡上。

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。

第一部分听力（共两节, 满分30分）做题时, 先将答案标在试卷上。

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。

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。

例：How much is the shirt?A. £19. 15.B. £ 9. 18.C. £ 9. 15.答案是C。

1. What will the woman do for the man?A. Teach him cleaning skills.B. Find him a new apartment.C. Help him clean his apartment.2. Why does the woman want the man to sign the form?A. To join a club.B. To organize a charity event.C. To go on a trip to the theater.3. When was the show due to start?A. At 8:00 p. m.B. At 9:00 p. m.C. At 11:00 p. m.4. How many courses did Helen take last term?A. Two.B. Four.C. Six.5. What makes the man in good shape?A. Regular exercise.B. A healthy eating habit.C. A strict plan for running.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。

四川大学附属中学新城分校(2018级)2021届高三上学期半期考试英语试题

川大附中高2021届2020-2021学年度上学期半期考试英语试卷（考试时间120分钟满分150分）第一部分听力（共20小题，每题1.5分，满分30分）第一节（共5小题；每小题1.5分，满分7.5分）请听下面５段对话，选出最佳选项。

1. What does the woman want to buy?A. A hat for herselfB. Shirts for herselfC. Shirts for her husband2. What does the man mean?A. He is on a diet these days.B. He doesn’t like steak at all.C. He doesn’t have enough money for steak.3.When will the man probably see Dr Lee?A. Early tomorrow morningB. Early tomorrow afternoonC. Late tomorrow afternoon4. What is the probable relationship between the speakers?A. StrangersB. SchoolmatesC. Colleagues5. Why is the man nervous?A. He’s got a bad stomach.B. He can’t remember lines well.C. He is afraid of going on stage.第二节（共15小题；每小题1.5分，满分22.5分）请听下面5段对话或独白，选出最佳选项。

请听第6段材料，回答第6、7题。

6. Where does the conversation probably take place?A. At a garageB. At a hospitalC. At the police station7. What’s the computer used for?A. Examining the man.B. Testing the wheelchairs.C. Checking the engine and wheels请听第7段材料，回答第8至10题。

上海师范大学附属中学2018届高三9月开学摸底考英语试题含答案

2018学年松江区上师大附中高三第一学期英语摸底考试卷I. Listening Comprehension (30%)II. Grammar and Vocabulary (26%)（A）We have two daughters: Kristen is seven years old and Kelly is four. Last Sunday evening,we invited some people home for dinner. Both of them (25)__________(dress) them nicely for the party, and told them that their job was (26)__________(join) Mommy in answering the door whenthe bell rang.The guests arrived. I introduced my two daughters to each of guests. Each of the (27)__________ made a particular fuss over Kelly, the younger one, admiring her dress, her hairand her smile. I thought to myself that we adults usually make a big "to do" over the younger one because she's the one (28)__________ seems more easily hurt. We do it with the best of intentions. But it is we parents (29)__________ seldom think of how it might affect the other child.I was a little worried that Kristen would feel she was being outshined. I was about to servedinner (30)__________ I realized that she had been missing for twenty minutes. I ran upstairs and found her in the bedroom,(31)__________(cry). I said, "What are you doing, my dear?" She turned to me with a sad expression and said, "Mommy, why don't people like me the way theylike my sister? Is it because I'm not pretty? Is that (32)_________ they don't say nice things aboutme as much?" I tried to explain to her, kissing and hugging her to make her feel (33)__________(good). Now, (34)__________ I visit a friend's home, I make it a point to speak tothe elder child first.（B）Increasing dependence on iPads, computers and smartphones has left many young people with an eye problem that usually affects those much older.Millions are developing ‘dry eye’, a condition that results in gritty, itchy, inflamed(发炎的) eyes, (35) __________ __________ hours staring at a screen.When we use such devices, the mind focuses so strongly on the screen we(36)__________can ‘forget’ to blink, according to dry eye specialist Dr Christine Purslow. This can affect the eye lubrication system, she said.We normally blink 12-15 times a minute, but using a computer screen (37)__________ cutthis to seven or eight a minute. This leaves the tear film – the lubricating substance that protects the surface of the eye – not working properly.About 30 per cent of those over 50 have dry eye but numbers are rising, with many more young people (38)__________(affect).Younger people (39)__________(experience) problem nowadays because of the modern office, with computers and air-conditioners making it worse,aswell as home use of display screens.‘As (40)__________ nation we are getting older, which means the proportion sufferingage-related dry eye is increasing,’ Dr Purslow said.Section BA. cultivationB. farmedC. constantD. machinery AB. plunged AC. lightning AD. envy BC. precious BC. uncomfortable CD. aircrafts ABC. consequenceModern inventions have speeded up people’s loves amazing. Motor-cars cover a hundred miles in little more than an hour, __41__cross the world inside a day, while computers operate at__42__ speed. Indeed, this love of speed seems never-ending. Every year motor-cars are produced which go even faster and each new computer boasts of saving __43__ seconds in handling tasks.All this saves time, but at a price. When we lose or gain half a day in speeding across theworld in an airplane, our bodies tell us so. We get the __44__ feeling known as jet-lag; our bodies feel that they have been left behind on another time zone. Again, speeding too long at computers results in painful wrists and fingers. Mobile phones also have their dangers, according to some scientists; too much use may send harmful radiation into our brains, a __45__ we do not like tothink about.However , what do we do with the time we have saved? Certainly not relax, or so it seems.We are so accustomed to __46__ activities that we find it difficulty to sit and do nothing or evenjust one thing at a time. Perhaps the days are long gone when we might listen quietly to a story on the radio, letting imagination take us into another world.There was a time when some people’s lives were devoted simply to the __47__ of the land or the care of cattle. No multi-tasking there; their lives went on at a much gentler pace, and in a familiar pattern. There is much that we might __48__ a way of life like this. Yet before we do so,we must think of the hard tasks our ancestor faced: they __49__ with bare hands, often lived closeto hunger, and had to fashion tools from wood and stone. Modern __50__ has freed people from that primitive(原古的)existence.III. Reading ComprehensionSection ADirections: 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.believed that intelligent people are better at learning languages. Most language learning s It’ｓkills, __51__, are habits, which can be formed through a bit of discipline and self-awareness. But, some of them are not good enough. Here are the three most common __52__ language learners ma ke and how to correct them.Not listening enougha school of language-teaching experts that believe language learning __53__ a ―sileThere’ｓnt period‖．Just as babies learn to produce language by hearing and parroting sounds, language lear ners need to practise listening in order to learn. This can develop learned vocabulary and structures, and help learners see patterns in language.Listening is the communicative skill we use most in daily life, but it can be __54__ to practise unless you live in a foreign country or attend language classes. The solution? Find music, podcas ts, TV shows and movies in the __55__ language, and listen, listen, listen, as often as possible.A single methodSome learners are most comfortable with the listen-and-repeat drills of a language lab. Somea need a grammar textbook to __56__ a foreign tongue. Each of these approaches is fine, but it’ｓmistake to rely on only one. Language learners who use __57__ methods get to practise different smore, the __58__ can keep them from kills and see concepts explained in different ways. What’ｓworking in a situation that never changes. When choosing a class, learners should seek a course that __59__ the four language skills (reading, writing, listening and speaking). For self-study, try a __60__ of textbooks, audio lessons, and language learning apps.__61__It doesn’t matter how well a person can write in foreign script, or finish a vocabulary test. To learn, improve, and truly use our language, we need to speak. This is the stage when language students should calm down, and feelings of __62__ or insecurity hinder（阻碍）all their hard work. In Eastern cultures where saving face is a strong social value, EFL teachers often complain that students, despite years of studying English, simply will not speak it. They’re too __63__ making mistakes of the grammar or mispronouncing words in a way that would __64__ them.The key is that those mistakes help language learners by showing them the limits of language, and correcting errors __65__ they become deep-rooted. The more learners speak and practise, the more quickly they improve.51. A. however B. moreover C. furthermore D. therefore52. A. successes B. wonders C. mistakes D. contributions53. A. picks up B. begins with C. takes up D. meets with54. A. efficient B. difficult C. easy D. ideal55. A. national B. official C. sign D. target56. A. make sense of B. make use of C. make profit of D. make fun of57. A. common B. educational C. permanent D. multiple58. A. variety B. change C. improvement D. alternative59. A. postpones B. lacks C. assesses D. practises60. A. selection B. preference C. combination D. replacement61. A. Complaints B. Fear C. Secure D. Diligence62. A. humor B. shyness C. achievements D. laughter63. A. confident in B. comfortable with C. keen on D. afraid of64. A. amuse B. inform C. remind D. embarrass65. A. if B. before C. in case D. so thatSection BDirections: Read the following two passages. Each passage is followed by several questions orfurnished statements. For each of them there are four choices marked A,B,C and D. Choose theone that fits best according to the information given in the passage you have just read.(A)Winter is a great time to experiment with new sports. The key is to find one that matchesyour interests and natural abilities. If you like to walk, keep walking-on snowshoes. If you want totry an endurance sport, go for cross-country skiing. Besides, snowboarding is just great fun.Not satisfied with these? Try downhill skiing, then. Downhill skiing is not as hard as it usedto be ― shorter, lightweight, curved skis make any beginner feel like an Olympic winner. Thesenewer skis ― along with another type of equipment called skiboards, which are even shorter thanskis ― help you control your speed and body movements.Consider testing the latest high-tech skis or snowboards？Check with your local sports shopsor the rental places at the ski mountains about sample programs.You could also try sledding. Use a wood-framed sled with steel runners or a plastic sled tohead down a snowy hill. If you prefer ice to snow, think hockey or figure skating.Runners can also train during the winter in spite of wet or slippery roads. One of the easiestsports around, snowshoeing can be excellent cold-weather cross-training for runners andcyclists ― or anyone wanting to take a wintry walk in the woods. Snowshoes are smaller, lighter,and better than ever. If you want to try them out, you may be able to rent a pair for a day at manyof the larger outdoor or sporting goods stores.Whatever sport you choose, don’t rely on a friend for instruction. You wouldn’t let an inexperienced doctor perform a brain operation on you, but why let one teach you to ski orskate? That’s what instructors are for ― to help newcomers start out right. Instructors can give you advice about equipment, techniques, safety, and dealing with injuries if they do happen toyou.Above all, if you want to progress, invest your time in learning the basic skills thoroughly.Everything else you do as a skier, boarder, or skater will be built on these first skills.66. How many different types of sports are mentioned in the first two paragraphs?A. Six.B. Five.C. Four.D. Three.68. What can we learn from the passage?A. Runners and cyclists cannot train because of the wet or slippery roads in winter.B. Downhill skiing used to be more difficult to learn because of the old-fashioned skis.C. People can rent snowshoes for a day at their local sports shops or the rental places.D. In general, first skills are more important in skiing than in snowboarding or skating.69. What does the sentence “You wouldn’t let an inexperienced doctor perform a brainimply?operation on you, but why let one teach you to ski or skate?”A. Don’t let an inexperienced doctor perform an operation on you when injured.B. You may have a brain operation if you ski or skate with a newcomer.C. Instructors can give better advice on skiing and skating than your friends do.D. It’s dangerous to have an inexpert person teach you to ski or skate.70.Who are the most likely readers of the passage?A. High school students.B. Physical educators.C. Winter sports lovers.D. Professional athletes(B)New Zealand Education~ Compulsory EducationCompulsory education starts at age and ends at age 16.The day children turn 5,they are expected to start school. They can leave school as soon as they reach 16.~ Class SizeThe maximum number of students in a class is 30 students.~ ClassroomsStudents from year 0—8 stay in the same classroom for most subjects and move to other classrooms only for specific subjects. Even when they move from one classroom to another, they mostly stay together as a class. In year 9, students take some courses with their homeroom class and some optional classes with students from different classes. Starting from year 10, students no longer stay in the same classroom most of the time nor do they move around with their classes. They go to different classes based on their own choice and abilities.~ Term DatesA school year starts in January and ends in December. There are four terms in a year. Each term is about 10 weeks.~ Class ScheduleSchool starts at around 8:30 and ends at 15:15. There are only five periods a day and a period is about an hour long. In the morning, around 10:30, there will be a 20—30 minute interval when students and staff have morning tea. Students usually have some snacks during this time, and staff gathers in the staff room to drink coffee and eat some snacks. There is a lunch period at around 12:40 for about an hour.~ TeachersIn New Zealand, teachers have to teach students of different year level at the same time. Most teachers teach students from at least three to four different year levels. In addition, quite a numberof teachers teach more than one subject. This is mainly due to the fact that many courses are optional.70. This passage is most probably taken from _____.A. an educational bookletB. a school websiteC. a traveling guideD.an academic report71. When you are in your 10th school year, you may _____.。

云南省云南师范大学附属中学2025届高三英语适应性月考卷六

云南省云南师范高校附属中学2025届高三英语适应性月考卷（六）留意事项：1.答题前，考生务必用黑色碳素笔将自己的姓名、准考证号、考场号、座位号在答题卡上填写清晰。

2.每小题选出答案后，用2B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。

在试题卷上作答无效。

3.考试结束后，请将本试卷和答题卡一并交回。

满分150分，考试用时120分钟。

第一部分听力（共两节，满分30分）留意，听力部分答题时请先将答案标在试卷上，听力部分结束前你将有两分钟的时间将答案转涂到答题卡上。

第一节（共5小题；每题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. What is the probable relationship between the speakers?A. Conductor and passenger.B. Ticket seller and customer.C. Husband and wife.2. What will the man do this weekend?A. Perform a dance in the street.B. Take a dance class of popping.C. Give a locking dance lesson.3. What do we know about Tesla’s new car?A. Its body is made of glass.B. Its top speed is 248 miles per hour.C. It is a kind of electric car.4. Why does Hong Ying live along life?A. She enjoys healthy local food.B. She is well attended by her family.C. She has a. good personality.5. What is the conversation mainly about?A. Trusting food producers.B. Paying attention to food labels.C. Shopping with parents.其次节（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。

2023届湖南省湖南师范大学附属中学高三下学期月考物理试题(七)试题含答案

湖南师大附中2023届高三月考试卷（七）物理注意事项：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，将本试题卷和答题卡一并交回。

第I 卷一、单项选择题（本题共6小题，每小题4分，共24分。

每小题给出的四个选项中，只有一个选项是符合题目要求的）1.下列叙述中符合物理学史的有（）A.汤姆孙通过研究阴极射线实验，发现了电子和质子的存在B.普朗克为了解释黑体辐射现象，第一次提出了能量量子化理论C.法拉第发现了电磁感应现象，并得出了法拉第电磁感应定律D.玻尔提出的原子模型，彻底否定了卢瑟福的原子核式结构学说2.a 、b 两车在平直公路上行驶，a 车以2v 0的初速度做匀减速运动，b 车做初速度为零的匀加速运动。

在t =0时，两车间距为0且a 车在b 车后方。

在t =t 1时两车速度相同，均为v 0，且在0～t 1时间内，a 车的位移大小为s 。

下列说法正确的是（）A.0～t 1时间内a 、b 两车相向而行B.0～t 1时间内a 车平均速度大小是b 车平均速度大小的2倍C.若a 、b 在t 1时刻相遇，则s 0=23s D.若a 、b 在12t 时刻相遇，则下次相遇时刻为2t 13.如图，斜面体放置在水平地面上，粗糙的小物块放在斜面上。

甲图中给小物块施加一个沿斜面向上的力1F ，使它沿斜面向上匀速运动；乙图中给小物块施加一水平向右的力2F ，小物块静止在斜面上。

甲、乙图中斜面体始终保持静止。

下列判断正确的是（）A.1F 增大，斜面对小物块的摩擦力一定增大B.1F 增大，地面对斜面体的摩擦力不变C.2F 增大，斜面对物块的摩擦力一定增大D.2F 增大，物块最终一定能沿斜面向上滑动4.如图所示，某电动工具置于水平地面上。

炎德英才大联考湖南师范大学附属中学2025届高三上学期月考地理试卷(二) Word版含解析

炎德·英才大联考湖南师大附中2025届高三月考试卷（二）地理本试题卷分选择题和非选择题两部分，共8页。

时量75分钟，满分100分。

第I 卷选择题（共48分）一、选择题（本大题共16小题，每小题3分，共48分。

在每小题给出的四个选项中，只有一项是符合题目要求）宁夏西海固是国家重点扶贫区域，该区域生态环境差，贫困人口多，扶贫措施以生态移民为主，北部闽宁镇成为移民首选地。

通过生态移民，西海固成功实现脱贫，闽宁产业也实现了多元化，主要以菌类、葡萄酒、光伏、电子装配等为主。

下图是西海固、闽宁镇区位略图。

据此完成下面小题。

1. 生态移民对西海固的积极意义是（）A. 优化居住条件B. 改善人口结构C. 减轻生态压力D. 增加劳务收入2. 闽宁成为移民首选地的自然因素是（）A 地形和水源 B. 地形和降水 C. 气温和水源 D. 气温和降水3. 闽宁实现产业多元化的有利条件是（）①自然环境优美②劳动力数量多③产业协作基础好④银川辐射作用强A. ①③B. ①④C. ②③D. ②④【答案】1. C2. A3. D 【解析】【1题详解】生态移民是将生态环境严重破坏地区的部分人口迁出，从而减轻生态压力，C 项正确；生态移民可以改善迁移者的居住条件，但不是能改善西海固的居住条件，A错误；生态移民为整体搬迁，对人口结构影响较.小，B错误；不会增加西海固的劳务收入，D错误。

所以选C。

【2题详解】闽宁地形平坦，有黄河经过，因此闽宁成为移民首选地的自然因素是地形和水源，A正确；该地降水较少，B错误；区域气温差异较小，气温不是影响移民的主要因素，CD错误。

所以选A。

【3题详解】自然环境不是影响产业多元化的主要因素，①错误；闽宁接收生态移民，获得大量劳动力，②正确；闽宁经济发展水平较低，产业协作基础较差，③错误；距离银川较近，受银川的辐射作用较强，④正确。

所以选D。

【点睛】生态移民亦称环境移民系指原居住在自然保护区、生态环境严重破坏地区、生态脆弱区以及自然环境条件恶劣、基本不具备人类生存条件的地区的人口，搬离原来的居住地，在另外的地方定居并重建家园的人口迁移。

江西省师范大学附属中学2018届高三物理最后一卷试题(含解析)

江西师范大学附属中学2018届高三年级测试（最后一卷）理科综合物理试卷二、选择题（本大题共8小题，每小题6分，共48分在每小题给出的四个选项中，第14～18题只有一项符合题目要求，第19～21题有多项符合题目要求。

全部选对的得6分，选对但不全的得3分，有选错的得0分）1. 下列说法中错误的是（）A. 若氢原子从n=6能级向n=1能级跃迁时辐射出的光不能使某金属发生光电效应，则氢原子从n=6能级向n=2能级跃迁时辐射出的光也不能使该金属发生光电效应B. 核泄漏事故污染物能够产生对人体有害的辐射，其核反应方程式为，可以判断x为电子C. 卢露福通过对α粒子散射实验结果的分析，提出了原子核内有中子存在D. 质子、中子、α拉子的质量分别是m1、m2、m3，质子和中子结合成一个α拉子，释放的能量是（2m1+2m2-m3）c2【答案】C【解析】A、根据玻尔理论可知，氢原子从n=6能级向n=1能级跃迁时辐射出的光的能量大于氢原子从n=6能级向n=2能级跃迁时辐射出的光的能量，结合光电效应发生的条件可知，若氢原子从n=6能级向n=1能级跃迁时辐射出的光不能使某金属发生光电效应，则氢原子从n=6能级向n=2能级跃迁时辐射出的光也不能使该金属发生光电效应。

故A正确；B、根据质量数守恒与电荷数守恒可知，衰变后的产物x的质量数为0，电荷数为-1，衰变方程为：，所以x是电子。

故B正确；C、卢瑟福通过对α粒子散射实验结果的分析，提出了原子核式结构理论。

故C错误；D、质子、中子、α粒子的质量分别是m1、m2、m3，质子和中子结合成一个α粒子的过程中亏损的质量为(2m1+2m2-m3)，根据爱因斯坦质能方程可知释放的能量是（2m1+2m2-m3）c2．故D正确。

本题选择错误的，故选C.【点睛】该题考查原子物理学的多个知识点的内容，其中玻尔理论与质能方程为这一部分的重点，要准确理解其内容．2. 如图所示为一简易起重装置，AC是上端带有滑轮的固定支架BC为质量不计的轻杆，杆的一端C用较链固定在支架上，另一端B悬挂一个质量为m的重物，并用钢丝绳跨过滑轮A连接在卷扬机上.开始时，杆BC 与AC的夹角∠BCA>90°，现使∠BCA缓缓变小，直到∠BCA=30°.在此过程中，杆BC所受的力（不计一切阻力）（）A. 逐渐增大B. 先减小后增大C. 大小不变D. 先增大后减小【答案】C【解析】以结点B为研究对象，分析受力情况，作出力的合成图如图，根据平衡条件则知，F、N的合力F合与G大小相等、方向相反。

2024-2025学年湖南师范大学附属中学高三上学期月考(一)物理试题及答案

湖南师大附中2025届高三月考试卷(一)物理本试题卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分，共8页。

时量75分钟,满分100分。

第Ⅰ卷一、单项选择题(本题共6小题，每小题4分，共24分。

每小题给出的四个选项中，只有一个选项是符合题目要求的)1.物理学的发展离不开物理学家的研究发现，在物理学的发展中出现了多位里程碑式的科学家，下列关于物理学史描述符合事实的是A.爱因斯坦提出光子的概念，成功解释光电效应现象B.牛顿总结得到了万有引力定律，并通过扭秤实验测出了引力常量C.伽利略被称为“运动学之父”，他认为重的物体比轻的物体下落得快D.卢瑟福通过α粒子散射实验研究，提出了原子具有“枣糕模型”2.如图所示，a、b、c、d为光滑斜面上的四个点。

一小滑块自a点由静止开始下滑，通过 ab、bc、cd各段所用时间均为T。

现让该滑块自. b点由静止开始下滑，则该滑块A.通过 bc、cd段的时间均等于TB.通过c、d点的速度之比为3:5C.通过 bc、cd段的时间之比为1 1:3D.通过c点的速度大于通过段的平均速度3 如图所示，轻质弹簧一端系在质量为m=1kg的小物块上，另一端固定在墙上。

物块在斜面上静止时，弹簧与竖直方向的夹角为37°，已知斜面倾角θ=37°，斜面与小物块间的动摩擦因数μ=0.5，斜面固定不动。

设物块与斜面间的最大静摩擦力与滑动摩擦力大小相等，已知sin37°=0.6,cos37°=0.8,g=10m/s²,下列说法正确的是A.弹簧一定处于压缩状态B.小物块可能只受三个力C.弹簧弹力大小可能等于 3 ND.斜面对物块支持力可能为零4.如图所示，阳光垂直照射到斜面草坪上，在斜面顶端把一高尔夫球水平击出让其在与斜面垂直的面内运动，小球刚好落在斜面底端。

B点是运动过程中距离斜面的最远处，A点是在阳光照射下小球经过B 点的投影点，不计空气阻力，则A.小球在斜面上的投影做匀速运动B. OA 与AC长度之比为1:3C.若斜面内D点在B 点的正下方，则OD与DC长度不等D.小球在B点的速度与整个段平均速度大小相等5.如图所示，半球形容器固定在地面上，容器内黝光滑；开始时，质量分布均匀的光滑球A 和同种材质构成的质量分布均匀的光滑球B 放在容器内处于平衡状态，位置关系如图中所示，已知容器、A、B半径之比为6：2：1。

湖南省湖南师范大学附属中学2023-2024学年高三上学期月考物理试题(二)及参考答案

炎德·英才大联考湖南师大附中2024届高三月考试卷（二）物理得分：________本试题卷分第I 卷（选择题）和第II 卷（非选择题）两部分，共10页。

时量75分钟，满分100分。

第I 卷一、单项选择题（本题共6小题，每小题4分，共24分。

每小题给出的四个选项中，只有一个选项是符合题目要求的）1．在力学发展的过程中，许多物理学家的科学发现推动了物理学的进步。

对以下几位物理学家所作科学贡献的表述中，与事实不相符的是（）A ．伽利略首先建立平均速度、瞬时速度和加速度等描述运动的概念B ．胡克提出如果行星的轨道是圆形，太阳与行星间的引力与距离的平方成反比C ．卡文迪什是测量地球质量的第一人D ．伽利略根据理想斜面实验，直接得出自由落体运动是匀变速直线运动2．甲、乙两个物体初始时刻在同一位置，运动图像分别为图中实线和虚线，两个图像均为14圆弧，圆弧的半径均为a ，横纵坐标表示的物理意义未知，下列说法正确的是（）A ．若实线和虚线分别为甲、乙的运动轨迹，则甲、乙的速率相同B ．若y 表示速度，x 表示时间，则x a =时甲、乙间的距离为22a πC ．若y 表示加速度，x 表示时间，则x a =时甲、乙间的距离为22a πD ．若y 表示位移，x 表示时间，则甲、乙的平均速度相同 3．如图所示，质量为m 、长为L 的均匀杆AB 一端靠在墙上，用细绳CD 拴杆于D 点，图中AD 等于13L ，37DCA α∠==°，53CAD β∠==°，此时杆处于平衡状态，sin 370.6°=，cos370.8°=。

那么以下说法正确的是（）A ．在图中杆A 端所受摩擦力的方向可能沿墙面向下B ．在图中杆与墙壁间的最小动摩擦因数min 118µ= C ．在图中杆A 端所受墙壁对杆的力一定沿杆方向D ．如果改变细线的位置而不改变夹角α和β，杆A 端所受的摩擦力不可能为零4．如图所示，在粗糙的斜面上用一个滑块将轻质弹簧压缩后由静止释放，滑块沿斜面上滑的距离为1x 时脱离弹簧，上滑的距离为2x 时速度变为0且不再下滑，用k E 表示滑块的动能，1p E 表示滑块的重力势能（以斜面底端为零势能参考面），2p E 表示弹簧的弹性势能，E 表示滑块的机械能，则以上各种能量随滑块上滑的距离x 的图像中，可能正确的是（）A ．B ．C ．D ．5．在信息技术迅猛发展的今天，光盘是存储信息的一种重要媒介。

湖南省湖南师范大学附属中学2023-2024学年高三上学期月考(二)英语试题

湖南省湖南师范大学附属中学2023-2024学年高三上学期月考（二）英语试题学校:___________姓名：___________班级：___________考号：___________一、阅读理解Top Chinese Restaurants in the Greater Seattle AreaDumpling GenerationAs the name implies, baskets of steamed dumplings are the move here. The wrappers are hand-rolled—not too thin or thick—and the fillings are savory and juicy. Ifyou prefer a strong taste, get the dumplings that include Chinese chives (韭菜), which have large, flat leaves that aren’t afraid to announce their presence.Xi’an NoodlesBiang biang noodles take their name from the satisfying sound you hear when chefs slap dough (面团) on the counter. The impact creates the specialty noodles of the northwest Chinese city of Xi’an. These chewy, hand-ripped noodles center in most dishes on the menu. Order them as a soup,or as a bowl tossed with spicy cumin (孜然) lamb or just some chili hot oil.Friendship BBQThe Northeastern-Chinese-style grilled baroque restaurant is actually the Seattle branch of a New York-based chain. Meats and seafood come coated in a cumin-forward seasoning with your choice of spice level. Don’t miss the side dishes, including the garlic eggplant, which is roasted until the flesh is covered with a garlic sauce. Despite its authentic taste, you’ll constantly be wowed by its cool new recipes. That’s probably what sets it apart in the Chinese food scene.Imperial GardenThe dim sum menu contains all the favorites and any extras make great takeaway. But Imperial Garden’s star remains the Peking Roast Duck—shaved pieces of meat topped with long narrow pieces of shiny duck skin,served with steamed pancakes. While the restaurant uses white tablecloths and is spacious enough to accommodate large banquets, the vibe (氛围) isn’t formal.1．What do Dumpling Generation and Xi’an Noodles have in common?A．Steamed foods.B．Plain taste.C．Handmade dishes.D．Northwestern origin.2．How is Friendship BBQ different from other Chinese restaurants?A．It’s not locally owned.B．It has innovative spirit.C．It features roasted dishes.D．It has casual atmosphere.3．If you plan to organize a grand family gathering, which is the most suitable place?A．Imperial Garden.B．Dumpling Generation.C．Friendship BBQ.D．Xi’an Noodles.Located among the forests where eagles fly overhead, Jabal Sawda has long been one of Saudi Arabia’s best places for mountaineers. At 2,999m, Jabal Sawda had been considered the kingdom’s highest peak until twin mountaineers, Matthew and Eric Gilbertson, climbed it in 2018, finding it to be about three meters shy of Jabal Ferwa.For more than a decade, the twins have traveled to one country after another around the world, rewriting the mountain record books about places across the Middle East and West Africa. So far they have reached the peaks of more than 100 countries and newly identified the highest points in Togo, Guinea-Bissau and Ivory Coast.Matthew, a research scientist at Lockheed Martin in Palo Alto, California, and Eric, an instructor in mechanical engineering at Seattle University, said their work was motivated by a love for mountaineering. “If we’re going to go through all the effort to visit a country and visit the highest mountain, we want to be sure that we have indeed visited the highest mountain,” Matthew said. “We consider it assistance to future mountaineers to have an accurate survey done so that they can focus their efforts on getting to whichever peak they want to get to.”The twins’ love of mountaineering began when they were children with family trips to the Great Smoky Mountains in the southeastern United States. When they were students at the Massachusetts Institute of Technology(MIT), they started climbing as many mountains as possible. In 2012, after achieving their goal of reaching the highest point of each US state, they turned their attention to the rest of the world.4．What can we learn about Jabal Sawda?A．It’s Saudi Arabia’s best scenic spot.B．It’s lower than Jabal Ferwa.C．It’s Saudi Arabia’s highest peak.D．It’s better-known than Jabal Ferwa. 5．Why have the twins traveled to different countries in the past decade?A．To write books about mountains.B．To rename the peaks of mountains.C．To identify the highest mountains.D．To challenge other mountaineers. 6．What do Matthew’s words concerning their work imply in paragraph 3?A．It satisfies their curiosity.B．It strengthens their motivation.C．It attracts more mountaineers.D．It guarantees informed choices. 7．Which of the following best describes the twins?A．Ambitious but impractical.B．Determined and adventurous.C．Intelligent and unselfish.D．Peace-loving and eco-friendly.There seems to be a lot of talk these days about what is fair, and what is not. Most people tend to believe life should be fair. Some of the 99% seem to believe life has somehow treated them unfairly, and some of the 1% feel life hasn’t treated them fairly enough. My questions are these: What is fairness? Is life fair? Should life be fair?We clearly have no choice about how we come into this world. We have little choice early in life. But as we grow older, choices abound. I have long believed that while we have no control over the beginning of our life, the majority of us have the ability to influence the outcomes we attain. Fairness is a state of mind, and most often, an unhealthy state of mind. Our state in life cannot, or at least should not, be blamed on our parents, our teachers, or our society—it’s largely based on the choices we make, and the attitudes we adopt.Life is full of examples of the uneducated, the mentally and physically challenged people born into war-torn areas, who could have complained about life being unfair, but who instead chose a different path. Regardless of the challenges they faced, they had the character to choose contribution over complaint.I agree that challenges exist. I agree that many have an uphill battle due to these verity of the challenges they face. What I disagree with is the attempt to use fairness to solve all problems in the world. Rules and orders don’t create fairness, but people’s desire and determination can work around most life challenges.It doesn’t matter whether you are born with a silver spoon, plastic spoon, or no spoon at all. A friend of mine came to this country from Africa in his late teens, barely spoke the language, drove a cab while working his way through college, and is now the president of a technology services firm. Stories such as this are all around us—they are not miracles, nor are they the rare exception. They do, however, demonstrate blindness to the mindset of thefairness.8．What is the primary purpose of the text?A．To promote “efforts over complaint”.B．To stress the importance of fairness.C．To share an inspiring story of a friend.D．To prove that fairness is a state of mind.9．What does the underlined word “abound” in paragraph 2 mean?A．Change fully.B．Remain the same.C．Exist in numbers.D．Disappear completely.10．What opinion may the writer agree with?A．Most of us can affect the results we achieve.B．Our background determines our choices.C．People’s desire and determination create unfairness.D．We should depend on fairness to solve all problems.11．Which of the following can be the best title for the text?A．Fairness Is JusticeB．Life Is Not Fair—Deal with ItC．Fairness Comes FirstD．Cry for FairnessThe 2010s brought no shortage of miraculous technologies, from tablet computers to4G mobile internet. But these had surprisingly little effect on the economy. During that decade productivity growth in the developed countries averaged a miserable (少得可怜的) 1% a year, holding down average wages. Innovative firms embraced new tech, but many less adventurous ones did not bother. The experience showed that technological breakthroughs and improvements in average living standards do not always go hand in hand.Generative AI, its developers say, will be different. Not since the invention of the internet has a new technology so captured the public imagination. The technology is consumer-friendly: within days of its release to the public, Chat GPT, the most famous AI chat bot, had millions of users. It is easy to see how this innovation could improve all types ofwork at all types of firms, from increasing the accuracy of doctors’ diagnoses to helping programmers write software code more efficiently.With that said, for AI to truly spread out in the economy, it needs to make its mark beyond the most innovative companies. And this will take time. Although the internet began to be used by some companies in the early 1990s, it was not until the late 2000s that two-thirds of American businesses had a website. About 70 world’s largest firms still show no interest in AI, according to our analysis. Some evidence even suggests that usage of Chat GPT and its competitors is falling — perhaps as people have tried it out, and then decided it is not for them.Indeed, even the most powerful technologies take time to be adopted, because companies tend to use a mix of software and services, some of which may be years or even decades old. Replacing outdated systems can be costly and complicated. Moreover, in the many industries either run or heavily regulated by the government, such as healthcare, education and construction, bosses and trade unions often resist the application of new technology, worried that it will lead to job losses. In time AI could well transform how people live their lives and do their jobs. But the road to widespread usage, and any resulting productivity boom, will be a long one.12．What is paragraph 1 mainly about?A．How productivity affects average wages.B．Why the 2010s is a productive decade.C．Whether economic growth follows new technologies.D．What innovative companies care for.13．What does the author want to indicate by mentioning Chat GPT in paragraph 2?A．AI’s public imagination.B．Consumers’ enthusiasm.C．AI’s healthy profits.D．AI’s huge potential.14．What can be inferred from paragraph 3?A．Big firms are less motivated to adopt new tech.B．More efforts are needed to advocate AI.C．Chat GPT is falling behind its competitors.D．Websites were uncommon in the early 2000s.15．Which word best describes the author’s attitude towards the future of AI?A．Hopeful.B．Worried.C．Cautious.D．Pessimistic.二、七选五Perseverance isn’t easy. But before you blame your lack of willpower, consider this: Building mental strength is similar to building physical strength. In just a few minutes each day, you can train your brain to think differently, manage your emotions, and behave productively. 1617 Think about three things you are grateful for in your life. It could be as simple as the clean water that you drink. Write in a gratitude journal, list the things you feel grateful for over dinner, or make it a habit to find what you’re thankful for before you go to bed. Over time, being grateful becomes a second nature.It’s impossible to stay strong when you’re thinking about something that happened last week or horrible things going to happen tomorrow. 18 It’s therefore of great significance to be able to concentrate on the present. With regular practice, you’ll increase the ability to focus.It can be tempting to wait until you feel ready to make a change. But waiting until you feel good about yourself before you take action could backfire. Instead, when you change your behavior, your thoughts and your emotions will follow. So when you’re sad, put your shoulders back and smile, and you’ll feel better. 19Every day is a chance to develop some mental strength. Simple, short exercises performed over time will help you build mental strength. 20 Feeling sorry for yourself and giving up after your first failure are just a few of the bad habits that could discourage you from building your mental strength.A．The only time you can make changes is right now.B．With regular exercise, you’ll build your mental strength.C．You can stay away from the bad habits by regular training.D．Mental strength has a lot in common with physical strength.E．You can physically change your brain by making gratitude a habit.F．Pay attention to the bad habits that keep you out of mental strength.G．Always remember feelings of confidence won’t come out of nowhere.三、完形填空Back in the days when I was just a young student, I was always absent from schoolgradually accept the challenges thrown at me.One rainy afternoon, while walking home from school, an accident happened. A speeding car 24 me, leaving me with a broken leg. Lying on my hospital bed,pain aching through my body, the reality of my situation 25 . This unforeseen incident had set me back academically, and I needed to figure out how to achieve my previous 26 .With the help of my parents and teachers, who 27 accompanied me through the healing process, I managed to transform my 28 into a stepping stone. I began to acquire the will to push myself beyond my limits. After several months, I returned to school. My teachers had made accommodations for me, which included access to 29 classes to catch up on the lessons I missed. Fueled by a newfound 30 , I made every effort to engage in all activities and strived to stay active in both the academic and extracurricular fields.In the end, my actions 31 fruit. Not only did my academic performance improve, but I also developed an ability to adapt to unexpected situations. I realized the importance of being able to 32 my fears and overcome them. The incident that I 33 viewed as a major discouragement was, in fact, a turning point in my life. It was an opportunity to adjust my perspective and learn to admire the strength within myself.The 34 did not happen overnight. It was a gradual process, just like adding a new piece to a puzzle every day. But with each piece, I moved one step closer to the bigger 35 .21．A．camps B．days C．facilities D．events 22．A．minimum B．maximum C．average D．majority 23．A．absorb B．forget C．teach D．avoid 24．A．approached B．hit C．lifted D．followed 25．A．gave in B．sank in C．fit in D．cut in 26．A．standing B．playing C．suffering D．finding 27．A．occasionally B．casually C．constantly D．scarcely 28．A．shyness B．setback C．strength D．performance29．A．practical B．optional C．basic D．extra 30．A．drive B．concept C．version D．skill 31．A．planted B．distributed C．sold D．bore 32．A．assess B．address C．monitor D．hide 33．A．initially B．actually C．suddenly D．eventually 34．A．inspiration B．assumption C．transformation D．exploration 35．A．space B．ambition C．picture D．capacity四、用单词的适当形式完成短文阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。

2024-2025学年湖南师范大学附属中学高三上学期月考(一)数学试题及答案

大联考湖南师大附中2025届高三月考试卷（一）数学命题人：高三数学备课组审题人：高三数学备课组时量：120分钟满分：150分一､选择题：本题共8小题，每小题5分，共40分.在每小题给出的四个选项中，只有一项是符合题目要求的，1. 已知{}()260,{lg 10}A x x xB x x =+-≤=-<∣∣，则A B = （）A. {}32x x -≤≤∣ B. {32}xx -≤<∣C. {12}xx <≤∣ D. {12}xx <<∣2. 若复数z 满足()1i 3i z +=-+（i 是虚数单位），则z 等于（）A.B.54C.D.3. 已知平面向量()()5,0,2,1a b ==- ，则向量a b + 在向量b 上投影向量为（）A. ()6,3- B. ()4,2- C. ()2,1- D. ()5,04. 记n S 为等差数列{}n a 的前n 项和，若396714,63a a a a +==，则7S =（）A. 21B. 19C. 12D. 425. 某校高二年级下学期期末考试数学试卷满分为150分，90分以上（含90分）为及格．阅卷结果显示，全年级1200名学生的数学成绩近似服从正态分布，试卷的难度系数（难度系数=平均分/满分）为0.49，标准差为22，则该次数学考试及格的人数约为（）附：若()2,X Nμσ~，记()()p k P k X k μσμσ=-≤≤+，则()()0.750.547,10.683p p ≈≈．A 136人B. 272人C. 328人D. 820人6. 已知()π5,0,,cos ,tan tan 426αβαβαβ⎛⎫∈-=⋅= ⎪⎝⎭，则αβ+=（）A.π6 B.π4C.π3D.2π37. 已知12,F F 是双曲线22221(0)x y a b a b-=>>的左､右焦点，以2F 为圆心，a 为半径的圆与双曲线的一条的.渐近线交于,A B 两点，若123AB F F >，则双曲线的离心率的取值范围是（）A. ⎛ ⎝B. ⎛ ⎝C. (D. (8. 已知函数()220log 0x a x f x x x ⎧⋅≤=⎨>⎩，，，，若关于x 的方程()()0f f x =有且仅有两个实数根，则实数a 的取值范围是（）A. ()0,1 B. ()(),00,1-∞⋃ C. [)1,+∞ D. ()()0,11,+∞ 二､多选题：本题共3小题，每小题6分，共18分.在每小题给出的选项中，有多项符合题目要求.全部选对的得6分，部分选对的得部分分，有选错的得0分9. 如图，在正方体111ABCD A B C D -中，E F M N ，，，分别为棱111AA A D AB DC ，，，的中点，点P 是面1B C 的中心，则下列结论正确的是（）A. E F M P ，，，四点共面B. 平面PEF 被正方体截得的截面是等腰梯形C. //EF 平面PMND. 平面MEF ⊥平面PMN10. 已知函数()5π24f x x ⎛⎫=+ ⎪⎝⎭，则（）A. ()f x 的一个对称中心为3π,08⎛⎫ ⎪⎝⎭B. ()f x 的图象向右平移3π8个单位长度后得到的是奇函数的图象C. ()f x 在区间5π7π,88⎡⎤⎢⎥⎣⎦上单调递增D. 若()y f x =在区间()0,m 上与1y =有且只有6个交点，则5π13π,24m ⎛⎤∈⎥⎝⎦11. 已知定义在R 上的偶函数()f x 和奇函数()g x 满足()()21f x g x ++-=，则（）A. ()f x 的图象关于点()2,1对称B. ()f x 是以8为周期的周期函数C. ()20240g =D.20241(42)2025k f k =-=∑三､填空题：本题共3小题，每小题5分，共15分.12. 6(31)x y +-的展开式中2x y 的系数为______．13. 已知函数()f x 是定义域为R 的奇函数，当0x >时，()()2f x f x '->，且()10f =，则不等式()0f x >的解集为__________.14. 已知点C 为扇形AOB 弧AB 上任意一点，且60AOB ∠=，若(),R OC OA OB λμλμ=+∈，则λμ+的取值范围是__________.四､解答题：本题共5小题，共77分.解答应写出文字说明､证明过程或演算步骤.15. ABC V 的内角,,A B C 的对边分别为,,a b c ，已知22cos a b c B +=．（1）求角C ；（2）若角C 的平分线CD 交AB于点,D AD DB ==CD 的长．16. 已知1ex =为函数()ln af x x x =的极值点．（1）求a 的值；（2）设函数()ex kxg x =，若对()120,,x x ∀∈+∞∃∈R ，使得()()120f x g x -≥，求k 的取值范围．17. 已知四棱锥P ABCD -中，平面PAB ⊥底面,ABCD AD∥,,,2,BC AB BC PA PB AB AB BC AD E ⊥====为AB 的中点，F 为棱PC 上异于,P C 的点．的（1）证明：BD EF ⊥；（2）试确定点F 的位置，使EF 与平面PCD18. 在平面直角坐标系xOy 中，抛物线21:2(0)C y px p =>的焦点到准线的距离等于椭圆222:161C x y +=的短轴长，点P 在抛物线1C 上，圆222:(2)E x y r -+=（其中01r <<）.（1）若1,2r Q =为圆E 上的动点，求线段PQ 长度的最小值；（2）设()1,D t 是抛物线1C 上位于第一象限的一点，过D 作圆E 的两条切线，分别交抛物线1C 于点,M N .证明：直线MN 经过定点.19. 龙泉游泳馆为给顾客更好的体验，推出了A 和B 两个套餐服务，顾客可选择A 和B 两个套餐之一，并在App 平台上推出了优惠券活动，下表是该游泳馆在App 平台10天销售优惠券情况．销售量千张经计算可得：10101021111 2.2,118.73,38510i i i i i i i y y t y t =======∑∑∑（1）因为优惠券购买火爆，App 平台在第10天时系统出现异常，导致当天顾客购买优惠券数量大幅减少，已知销售量y 和日期t 呈线性关系，现剔除第10天数据，求y 关于t 的经验回归方程结果中的数值用分数表示；（2）若购买优惠券的顾客选择A 套餐的概率为14，选择B 套餐的概率为34，并且A 套餐可以用一张优惠券，B 套餐可以用两张优惠券，记App 平台累计销售优惠券为n 张的概率为n P ，求n P ；（3）记（2）中所得概率n P 的值构成数列{}()N n P n *∈.①求n P 的最值；②数列收敛的定义：已知数列{}n a ，若对于任意给定的正数ε，总存在正整数0N ，使得当0n N >时，n a a ε-<，（a 是一个确定的实数），则称数列{}n a 收敛于a .根据数列收敛的定义证明数列{}n P 收敛．.参考公式：()()()1122211ˆˆ,n ni i i ii in ni ii ix x y y x y nx ya y bxx x x nx====---==---∑∑∑∑.大联考湖南师大附中2025届高三月考试卷（一）数学命题人：高三数学备课组审题人：高三数学备课组时量：120分钟满分：150分一､选择题：本题共8小题，每小题5分，共40分.在每小题给出的四个选项中，只有一项是符合题目要求的，1. 已知{}()260,{lg 10}A x x xB x x =+-≤=-<∣∣，则A B = （）A. {}32x x -≤≤∣ B. {32}xx -≤<∣C. {12}xx <≤∣ D. {12}xx <<∣【答案】D 【解析】【分析】通过解一元二次不等式和对数函数的定义域，求出集合,A B ，再求交集．【详解】集合{}()32,{lg 10}{12}A x x B x x x x =-≤≤=-<=<<∣∣∣，则{12}A B xx ⋂=<<∣，故选：D ．2. 若复数z 满足()1i 3i z +=-+（i 是虚数单位），则z 等于（）A.B.54C.D.【答案】C 【解析】【分析】由复数的除法运算计算可得12i z =-+，再由模长公式即可得出结果.【详解】依题意()1i 3i z +=-+可得()()()()3i 1i 3i 24i12i 1i 1i 1i 2z -+--+-+====-+++-，所以z ==.故选：C3. 已知平面向量()()5,0,2,1a b ==- ，则向量a b +在向量b 上的投影向量为（）A. ()6,3- B. ()4,2- C. ()2,1- D. ()5,0【答案】A 【解析】【分析】根据投影向量的计算公式即可求解.【详解】()()7,1,15,a b a b b b +=-+⋅=== 所以向量a b +在向量b 上的投影向量为()()236,3||a b b b b b +⋅==- .故选：A4. 记n S 为等差数列{}n a 的前n 项和，若396714,63a a a a +==，则7S =（）A. 21 B. 19C. 12D. 42【答案】A 【解析】【分析】根据等差数列的性质，即可求解公差和首项，进而由求和公式求解.【详解】{}n a 是等差数列，396214a a a ∴+==，即67a =，所以67769,a a a a ==故公差76162,53d a a a a d =-=∴=-=-，()767732212S ⨯∴=⨯-+⨯=，故选：A5. 某校高二年级下学期期末考试数学试卷满分为150分，90分以上（含90分）为及格．阅卷结果显示，全年级1200名学生的数学成绩近似服从正态分布，试卷的难度系数（难度系数=平均分/满分）为0.49，标准差为22，则该次数学考试及格的人数约为（）附：若()2,X Nμσ~，记()()p k P k X k μσμσ=-≤≤+，则()()0.750.547,10.683p p ≈≈．A. 136人B. 272人C. 328人D. 820人【答案】B 【解析】【分析】首先求出平均数，即可得到学生的数学成绩2~(73.5,22)X N ，再根据所给条件求出(5790)P X ≤≤，即可求出(90)P X ≥，即可估计人数．【详解】由题得0.4915073.5,22μσ=⨯==，()()(),0.750.547p k P k X k p μσμσ=-≤≤+≈ ，()5790P X ∴≤≤()0.750.547p =≈，()()900.510.5470.2265P X ≥=⨯-=，∴该校及格人数为0.22651200272⨯≈（人），故选：B ．6. 已知()π5,0,,cos ,tan tan 426αβαβαβ⎛⎫∈-=⋅= ⎪⎝⎭，则αβ+=（）A.π6 B.π4C.π3D.2π3【答案】D 【解析】【分析】利用两角差的余弦定理和同角三角函数的基本关系建立等式求解，再由两角和的余弦公式求解即可．【详解】由已知可得5cos cos sin sin 6sin sin 4cos cos αβαβαβαβ⎧⋅+⋅=⎪⎪⎨⋅⎪=⋅⎪⎩，解得1cos cos 62sin sin 3αβαβ⎧⋅=⎪⎪⎨⎪⋅=⎪⎩，，()1cos cos cos sin sin 2αβαβαβ∴+=⋅-⋅=-，π,0,2αβ⎛⎫∈ ⎪⎝⎭，()0,παβ∴+∈，2π,3αβ∴+=，故选：D ．7. 已知12,F F 是双曲线22221(0)x y a b a b-=>>的左､右焦点，以2F 为圆心，a 为半径的圆与双曲线的一条渐近线交于,A B 两点，若123AB F F >，则双曲线的离心率的取值范围是（）A. ⎛ ⎝B. ⎛ ⎝C. (D. (【答案】B 【解析】【分析】根据双曲线以及圆的方程可求得弦长AB =，再根据不等式123AB F F >整理可得2259c a <，即可求得双曲线的离心率的取值范围.【详解】设以()2,0F c 为圆心，a 为半径的圆与双曲线的一条渐近线0bx ay -=交于,A B 两点，则2F 到渐近线0bx ay -=的距离d b ==，所以AB =，因为123AB F F >，所以32c ⨯>，可得2222299a b c a b ->=+，即22224555a b c a >=-，可得2259c a <，所以2295c a <，所以e <，又1e >，所以双曲线的离心率的取值范围是⎛ ⎝.故选：B8. 已知函数()220log 0x a x f x x x ⎧⋅≤=⎨>⎩，，，，若关于x 的方程()()0f f x =有且仅有两个实数根，则实数a 的取值范围是（）A. ()0,1 B. ()(),00,1-∞⋃ C. [)1,+∞ D. ()()0,11,+∞ 【答案】C 【解析】【分析】利用换元法设()u f x =，则方程等价为()0f u =，根据指数函数和对数函数图象和性质求出1u =，利用数形结合进行求解即可．【详解】令()u f x =，则()0f u =．①当0a =时，若()0,0u f u ≤=；若0u >，由()2log 0f u u ==，得1u =．所以由()()0ff x =可得()0f x ≤或()1f x =．如图所示，满足()0f x ≤的x 有无数个，方程()1f x =只有一个解，不满足题意；②当0a ≠时，若0≤u ，则()20uf u a =⋅≠；若0u >，由()2log 0f u u ==，得1u =．所以由()()0ff x =可得()1f x =，当0x >时，由()2log 1f x x ==，可得2x =，因为关于x 的方程()()0f f x =有且仅有两个实数根，则方程()1f x =在(,0∞-]上有且仅有一个实数根，若0a >且()(]0,20,xx f x a a ≤=⋅∈，故1a ≥；若0a <且()0,20xx f x a ≤=⋅<，不满足题意．综上所述，实数a 的取值范围是[)1,+∞，故选：C ．二､多选题：本题共36分，共18分.在每小题给出的选项中，有多项符合题目要求.全部选对的得6分，部分选对的得部分分，有选错的得0分9. 如图，在正方体111ABCD A B C D -中，E F M N ，，，分别为棱111AA A D AB DC ，，，的中点，点P 是面1B C 的中心，则下列结论正确的是（）A. E F M P ，，，四点共面B. 平面PEF 被正方体截得的截面是等腰梯形C. //EF 平面PMND. 平面MEF ⊥平面PMN【答案】BD 【解析】【分析】可得过,,E F M 三点的平面为一个正六边形，判断A ；分别连接,E F 和1,B C ，截面1C BEF 是等腰梯形，判断B ；分别取11,BB CC 的中点,G Q ，易证EF 显然不平行平面QGMN ，可判断C ；EM ⊥平面PMN ，可判断D.【详解】对于A ：如图经过,,E F M 三点的平面为一个正六边形EFMHQK ，点P 在平面外，,,,E F M P ∴四点不共面，∴选项A 错误；对于B ：分别连接,E F 和1,B C ，则平面PEF 即平面1C BEF ，截面1C BEF 是等腰梯形，∴选项B 正确；对于C ：分别取11,BB CC 的中点,G Q ，则平面PMN 即为平面QGMN ，由正六边形EFMHQK ，可知HQ EF ，所以MQ 不平行于EF ，又,EF MQ ⊂平面EFMHQK ，所以EF MQ W = ，所以EF I 平面QGMN W =，所以EF 不平行于平面PMN ，故选项C 错误；对于D ：因为,AEM BMG 是等腰三角形，45AME BMG ∴∠=∠=︒，90EMG ∴∠=︒，EMMG ∴⊥，,M N 是,AB CD 的中点，易证MN AD ∥，由正方体可得AD ⊥平面11ABB A ，MN ∴⊥平面11ABB A ，又ME ⊂平面11ABB A ，EM MN ∴⊥，,MG MN ⊂ 平面PMN ，EM ∴⊥平面GMN ，EM ⊂ 平面MEF ，∴平面MEF ⊥平面,PMN 故选项D 正确．故选：BD ．10. 已知函数()5π24f x x ⎛⎫=+ ⎪⎝⎭，则（）A. ()f x 的一个对称中心为3π,08⎛⎫ ⎪⎝⎭B. ()f x 的图象向右平移3π8个单位长度后得到的是奇函数的图象C. ()f x 在区间5π7π,88⎡⎤⎢⎥⎣⎦上单调递增D. 若()y f x =在区间()0,m 上与1y =有且只有6个交点，则5π13π,24m ⎛⎤∈ ⎥⎝⎦【答案】BD 【解析】【分析】代入即可验证A ，根据平移可得函数图象，即可由正弦型函数的奇偶性求解B ，利用整体法即可判断C ，由5πcos 24x ⎛⎫+= ⎪⎝⎭求解所以根，即可求解D.【详解】对于A ，由35π3π2π0848f ⎛⎫⎛⎫=+⨯=≠⎪ ⎪⎝⎭⎝⎭，故A 错误；对于B ，()f x 的图象向右平移3π8个单位长度后得：3π3π5ππ228842y f x x x x ⎡⎤⎛⎫⎛⎫⎛⎫=-=-+=+= ⎪ ⎪ ⎪⎢⎥⎝⎭⎝⎭⎝⎭⎣⎦，为奇函数，故B 正确；对于C ，当5π7π,88x ⎡⎤∈⎢⎥⎣⎦时，则5π5π2,3π42x ⎡⎤+∈⎢⎥⎣⎦，由余弦函数单调性知，()f x 在区间5π7π,88⎡⎤⎢⎥⎣⎦上单调递减，故C 错误；对于D ，由()1f x =，得5πcos 24x ⎛⎫+= ⎪⎝⎭ππ4x k =+或ππ,2k k +∈Z ，()y f x =在区间()0,m 上与1y =有且只有6个交点，其横坐标从小到大依次为：ππ5π3π9π5π,,,,,424242，而第7个交点的横坐标为13π4，5π13π24m ∴<≤，故D 正确.故选：BD11. 已知定义在R 上的偶函数()f x 和奇函数()g x 满足()()21f x g x ++-=，则（）A. ()f x 的图象关于点()2,1对称B. ()f x 是以8为周期的周期函数C. ()20240g =D.20241(42)2025k f k =-=∑【答案】ABC 【解析】【分析】根据函数奇偶性以及所满足的表达式构造方程组可得()()222f x f x ++-=，即可判断A 正确；利用对称中心表达式进行化简计算可得B 正确，可判断()g x 也是以8为周期的周期函数，即C 正确；根据周期性以及()()42f x f x ++=计算可得20241(42)2024k f k =-=∑，可得D 错误.【详解】由题意()()()(),f x f x g x g x -=-=-，且()()()00,21g f x g x =++-=，即()()21f x g x +-=①，用x -替换()()21f x g x ++-=中的x ，得()()21f x g x -+=②，由①+②得()()222f x f x ++-=所以()f x 的图象关于点(2,1)对称，且()21f =，故A 正确；由()()222f x f x ++-=，可得()()()()()42,422f x f x f x f x f x ++-=+=--=-，所以()()()()82422f x f x f x f x ⎡⎤+=-+=--=⎣⎦，所以()f x 是以8为周期的周期函数，故B 正确；由①知()()21g x f x =+-，则()()()()882121g x f x f x g x +=++-=+-=，故()()8g x g x +=，因此()g x 也是以8为周期的周期函数，所以()()202400g g ==，C 正确；又因为()()42f x f x ++-=，所以()()42f x f x ++=，令2x =，则有()()262f f +=，令10x =，则有()()10142,f f +=…，令8090x =，则有()()809080942f f +=，所以1012(2)(6)(10)(14)(8090)(8094)2222024f f f f f f ++++++=+++=个所以20241(42)(2)(6)(10)(14)(8090)(8094)2024k f k f f f f f f =-=++++++=∑ ，故D 错误.故选：ABC【点睛】方法点睛：求解函数奇偶性、对称性、周期性等函数性质综合问题时，经常利用其中两个性质推得第三个性质特征，再进行相关计算.三､填空题：本题共3小题，每小题5分，共15分.12. 6(31)x y +-的展开式中2x y 的系数为______．【答案】180-【解析】【分析】根据题意，由条件可得展开式中2x y 的系数为213643C C (1)⋅-，化简即可得到结果．【详解】在6(31)x y +-的展开式中，由()2213264C C 3(1)180x y x y ⋅⋅-=-，得2x y 的系数为180-.故答案为：180-．13. 已知函数()f x 是定义域为R 的奇函数，当0x >时，()()2f x f x '->，且()10f =，则不等式()0f x >的解集为__________.【答案】()()1,01,-⋃+∞【解析】【分析】根据函数奇偶性并求导可得()()f x f x ''-=，因此可得()()2f x f x '>，可构造函数()()2xf x h x =e并求得其单调性即可得()f x 在()1,+∞上大于零，在()0,1上小于零，即可得出结论.【详解】因为()f x 为奇函数，定义域为R ，所以()()f x f x -=-，两边同时求导可得()()f x f x ''--=-，即()()f x f x ''-=且()00f =，又因为当0x >时，()()2f x f x '->，所以()()2f x f x '>.构造函数()()2x f x h x =e ，则()()()22xf x f x h x '-'=e，所以当0x >时，()()0,h x h x '>在()0,∞+上单调递增，又因为()10f =，所以()()10,h h x =在()1,+∞上大于零，在()0,1上小于零，又因为2e 0x >，所以()f x 在()1,+∞上大于零，在()0,1上小于零，因为()f x 为奇函数，所以()f x 在(),1∞--上小于零，在()1,0-上大于零，综上所述，()0f x >的解集为()()1,01,-⋃+∞.故答案为：()()1,01,-⋃+∞14. 已知点C 为扇形AOB 的弧AB 上任意一点，且60AOB ∠=，若(),R OC OA OB λμλμ=+∈，则λμ+的取值范围是__________.【答案】⎡⎢⎣【解析】【分析】建系设点的坐标，再结合向量关系表示λμ+，最后应用三角恒等变换及三角函数值域求范围即可.【详解】方法一：设圆O 的半径为1，由已知可设OB 为x 轴的正半轴，O 为坐标原点，过O 点作x 轴垂线为y 轴建立直角坐标系，其中()()1,1,0,cos ,sin 2A B C θθ⎛ ⎝，其中π,0,3BOC θθ⎡⎤∠=∈⎢⎥⎣⎦，由(),R OC OA OB λμλμ=+∈，即()()1cos ,sin 1,02θθλμ⎛=+⎝，整理得1cos sin 2λμθθ+==，解得cos λμθ==，则ππcos cos ,0,33λμθθθθθ⎛⎫⎡⎤+==+=+∈ ⎪⎢⎥⎝⎭⎣⎦，ππ2ππ,,sin 3333θθ⎤⎡⎤⎛⎫+∈+∈⎥⎪⎢⎥⎣⎦⎝⎭⎦所以λμ⎡+∈⎢⎣.方法二：设k λμ+=，如图，当C 位于点A 或点B 时，,,A B C 三点共线，所以1k λμ=+=；当点C 运动到AB的中点时，k λμ=+==，所以λμ⎡+∈⎢⎣故答案为：⎡⎢⎣四､解答题：本题共5小题，共77分.解答应写出文字说明､证明过程或演算步骤.15. ABC V 的内角,,A B C 的对边分别为,,a b c ，已知22cos a b c B +=．（1）求角C ；（2）若角C 的平分线CD 交AB于点,D AD DB ==CD 的长．【答案】（1）2π3C = （2）3CD =【解析】【分析】（1）利用正弦定理及两角和的正弦定理整理得到()2cos 1sin 0C B +=，再利用三角形的内角及正弦函数的性质即可求解；（2）利用正弦定理得出3b a =，再由余弦定理求出4a =，12b =，再根据三角形的面积建立等式求解．【小问1详解】由22cos a b c B +=，根据正弦定理可得2sin sin 2sin cos A B C B +=，则()2sin sin 2sin cos B C B C B ++=，所以2sin cos 2cos sin sin 2sin cos B C B C B C B ++=，整理得()2cos 1sin 0C B +=，因为,B C 均为三角形内角，所以(),0,π,sin 0B C B ∈≠，因此1cos 2C =-，所以2π3C =．【小问2详解】因为CD 是角C的平分线，AD DB ==所以在ACD 和BCD △中，由正弦定理可得，,ππsin sin sin sin 33AD CD BD CDA B ==，因此sin 3sin B ADA BD==，即sin 3sin B A =，所以3b a =，又由余弦定理可得2222cos c a b ab C =+-，即222293a a a =++，解得4a =，所以12b =．又ABC ACD BCD S S S =+△△△，即111sin sin sin 222ab ACB b CD ACD a CD BCD ∠∠∠=⋅⋅+⋅⋅，即4816CD =，所以3CD =．16. 已知1ex =为函数()ln af x x x =的极值点．（1）求a 的值；（2）设函数()ex kxg x =，若对()120,,x x ∀∈+∞∃∈R ，使得()()120f x g x -≥，求k 的取值范围．【答案】（1）1a = （2）(]()10,-∞-+∞ ,【解析】【分析】（1）直接根据极值点求出a 的值；（2）先由（1）求出()f x 的最小值，由题意可得是求()g x 的最小值，小于等于()f x 的最小值，对()g x 求导，判断由最小值时的k 的范围，再求出最小值与()f x 最小值的关系式，进而求出k 的范围．【小问1详解】()()111ln ln 1a a f x ax x x x a x xα--=='+⋅+，由1111ln 10e e e a f a -⎛⎫⎛⎫⎛⎫=+= ⎪ ⎪⎪⎝⎭⎝⎭'⎭⎝，得1a =，当1a =时，()ln 1f x x ='+，函数()f x 在10,e ⎛⎫ ⎪⎝⎭上单调递减，在1,e∞⎛⎫+ ⎪⎝⎭上单调递增，所以1ex =为函数()ln af x x x =的极小值点，所以1a =．【小问2详解】由（1）知min 11()e e f x f ⎛⎫==- ⎪⎝⎭．函数()g x 的导函数()()1exg x k x -=-'①若0k >，对()1210,,x x k ∞∀∈+∃=-，使得()()12111e 1e k g x g f x k ⎛⎫=-=-<-<-≤ ⎪⎝⎭，即()()120f x g x -≥，符合题意．②若()0,0k g x ==，取11ex =，对2x ∀∈R ，有()()120f x g x -<，不符合题意．③若0k <，当1x <时，()()0,g x g x '<在(),1∞-上单调递减；当1x >时，()()0,g x g x '>在(1,+∞)上单调递增，所以()min ()1ek g x g ==，若对()120,,x x ∞∀∈+∃∈R ，使得()()120f x g x -≥，只需min min ()()g x f x ≤，即1e ek ≤-，解得1k ≤-．综上所述，k 的取值范围为(](),10,∞∞--⋃+．17. 已知四棱锥P ABCD -中，平面PAB ⊥底面,ABCD AD ∥,,,2,BC AB BC PA PB AB AB BC AD E ⊥====为AB 的中点，F 为棱PC 上异于,P C 的点．（1）证明：BD EF ⊥；（2）试确定点F 的位置，使EF 与平面PCD【答案】（1）证明见解析（2）F 位于棱PC 靠近P 的三等分点【解析】【分析】（1）连接,,PE EC EC 交BD 于点G ，利用面面垂直的性质定理和三角形全等，即可得证；（2）取DC 的中点H ，以E 为坐标原点，分别以,,EB EH EP 所在直线为,,x y z 轴建立，利用线面角公式代入即可求解．小问1详解】如图，连接,,PE EC EC 交BD 于点G ．因为E 为AB 的中点，PA PB =，所以PE AB ⊥．因为平面PAB ⊥平面ABCD ，平面PAB ⋂平面,ABCD AB PE =⊂平面PAB ，所以PE ⊥平面ABCD ，因为BD ⊂平面ABCD ，所以BD ⊥．因为ABD BCE ≅ ，所以CEB BDA ∠∠=，所以90CEB ABD ∠∠+= ，所以BD EC ⊥，因为,,PE EC E PE EC ⋂=⊂平面PEC ，所以BD ⊥平面PEC ．因为EF ⊂平面PEC ，所以BD EF ⊥．【小问2详解】如图，取DC 的中点H ，以E 为坐标原点，分别以,,EB EH EP 所在直线为,,x y z 轴建立空间直角坐标系，【设2AB =，则2,1,BC AD PA PB ====则()()()()0,0,1,1,2,0,1,1,0,0,0,0P C D E -，设(),,,(01)F x y z PF PC λλ=<<，所以()(),,11,2,1x y z λ-=-，所以,2,1x y z λλλ===-，即(),2,1F λλλ-．则()()()2,1,0,1,2,1,,2,1DC PC EF λλλ==-=-，设平面PCD 的法向量为(),,m a b c =，则00DC m PC m ⎧⋅=⎪⎨⋅=⎪⎩，，即2020a b a b c +=⎧⎨+-=⎩，，取()1,2,3m =--，设EF 与平面PCD 所成的角为θ，由cos θ=sin θ=．所以sin cos ,m EF m EF m EF θ⋅====整理得2620λλ-=，因为01λ<<，所以13λ=，即13PF PC = ，故当F 位于棱PC 靠近P 的三等分点时，EF 与平面PCD18. 在平面直角坐标系xOy 中，抛物线21:2(0)C y px p =>的焦点到准线的距离等于椭圆222:161C x y +=的短轴长，点P 在抛物线1C 上，圆222:(2)E x y r -+=（其中01r <<）.（1）若1,2r Q =为圆E 上的动点，求线段PQ长度的最小值；（2）设()1,D t 是抛物线1C 上位于第一象限的一点，过D 作圆E 的两条切线，分别交抛物线1C 于点,M N .证明：直线MN 经过定点.【答案】（1（2）证明见解析【解析】【分析】（1）根据椭圆的短轴可得抛物线方程2y x =，进而根据两点斜率公式，结合三角形的三边关系，即可由二次函数的性质求解，（2）根据两点坐标可得直线,MN DM 的直线方程，由直线与圆相切可得,a b 是方程()()()2222124240r x r x r -+-+-=的两个解，即可利用韦达定理代入化简求解定点.【小问1详解】由题意得椭圆的方程：221116y x +=，所以短半轴14b =所以112242p b ==⨯=，所以抛物线1C 的方程是2y x =.设点()2,P t t ，则111222PQ PE ≥-=-=≥，所以当232ι=时，线段PQ.【小问2详解】()1,D t 是抛物线1C 上位于第一象限的点，21t ∴=，且()0,1,1t D >∴设()()22,,,M a a N b b ，则：直线()222:b a MN y a x a b a --=--，即()21y a x a a b-=-+，即()0x a b y ab -++=.直线()21:111a DM y x a --=--，即()10x a y a -++=.由直线DMr =，即()()()2222124240r a r a r -+-+-=..同理，由直线DN 与圆相切得()()()2222124240r b r b r -+-+-=.所以,a b 是方程()()()2222124240r x r x r -+-+-=的两个解，22224224,11r r a b ab r r --∴+==--代入方程()0x a b y ab -++=得()()222440x y r x y +++---=，220,440,x y x y ++=⎧∴⎨++=⎩解得0,1.x y =⎧⎨=-⎩∴直线MN 恒过定点()0,1-.【点睛】圆锥曲线中定点问题的两种解法（1）引进参数法：先引进动点的坐标或动线中系数为参数表示变化量，再研究变化的量与参数何时没有关系，找到定点.（2）特殊到一般法：先根据动点或动线的特殊情况探索出定点，再证明该定点与变量无关.技巧：若直线方程为()00y y k x x -=-,则直线过定点()00,x y ;若直线方程为y kx b =+ (b 为定值),则直线过定点()0,.b 19. 龙泉游泳馆为给顾客更好的体验，推出了A 和B 两个套餐服务，顾客可选择A 和B 两个套餐之一，并在App 平台上推出了优惠券活动，下表是该游泳馆在App 平台10天销售优惠券情况．日期t 12345678910销售量千张 1.9 1.98 2.2 2.36 2.43259 2.682.76 2.70.4经计算可得：10101021111 2.2,118.73,38510i i i i i i i y y t y t =======∑∑∑.（1）因为优惠券购买火爆，App 平台在第10天时系统出现异常，导致当天顾客购买优惠券数量大幅减少，已知销售量y 和日期t 呈线性关系，现剔除第10天数据，求y 关于t 的经验回归方程结果中的数值用分数表示；..（2）若购买优惠券的顾客选择A 套餐的概率为14，选择B 套餐的概率为34，并且A 套餐可以用一张优惠券，B 套餐可以用两张优惠券，记App 平台累计销售优惠券为n 张的概率为n P ，求n P ；（3）记（2）中所得概率n P 的值构成数列{}()Nn P n *∈.①求n P 的最值；②数列收敛的定义：已知数列{}n a ，若对于任意给定的正数ε，总存在正整数0N ，使得当0n N >时，n a a ε-<，（a 是一个确定的实数），则称数列{}n a 收敛于a .根据数列收敛的定义证明数列{}n P 收敛．参考公式： ()()()1122211ˆˆ,n ni i i i i i n n ii i i x x y y x y nx y ay bx x x x nx ====---==---∑∑∑∑.【答案】（1）673220710001200y t =+ （2）433774n n P ⎛⎫=+⋅- ⎪⎝⎭（3）①最大值为1316，最小值为14；②证明见解析【解析】【分析】（1）计算出新数据的相关数值，代入公式求出 ,ab 的值，进而得到y 关于t 的回归方程；（2）由题意可知1213,(3)44n n n P P P n --=+≥，其中12113,416P P ==，构造等比数列，再利用等比数列的通项公式求解；（3）①分n 为偶数和n 为奇数两种情况讨论，结合指数函数的单调性求解；②利用数列收敛的定义，准确推理、运算，即可得证．【小问1详解】解：剔除第10天的数据，可得 2.2100.4 2.49y ⨯-==新，12345678959t ++++++++==新，则9922111119.73100.4114,73,38510285i i i i t y t ==⎛⎫⎛⎫=-⨯==-= ⎪ ⎪⎝⎭⎝⎭∑∑新新，所以912922119114,7395 2.4673ˆ2859560009i i i i t y t y b t t ==⎛⎫- ⎪-⨯⨯⎝⎭===-⨯⎛⎫- ⎪⎝⎭∑∑新新新新新，可得6732207ˆ 2.4560001200a =-⨯=，所以6732207ˆ60001200y t =+.【小问2详解】解：由题意知1213,(3)44n n n P P P n --=+≥，其中12111313,444416P P ==⨯+=，所以11233,(3)44n n n n P P P P n ---+=+≥，又由2131331141644P P +=+⨯=，所以134n n P P -⎧⎫+⎨⎬⎩⎭是首项为1的常数列，所以131,(2)4n n P P n -+=≥所以1434(2)747n n P P n --=--≥，又因为1414974728P -=-=-，所以数列47n P ⎧⎫-⎨⎬⎩⎭是首项为928-，公比为34-的等比数列，故143)74n n P --=-，所以1934433(()2847774n n n P -=--+=+-.【小问3详解】解：①当n 为偶数时，19344334()(28477747n n n P -=--+=+⋅>单调递减，最大值为21316P =；当n 为奇数时，19344334()(28477747n n n P -=--+=-⋅<单调递增，最小值为114P =，综上可得，数列{}n P 的最大值为1316，最小值为14.②证明：对任意0ε>总存在正整数0347[log ()]13N ε=+，其中 []x 表示取整函数，当 347[log ()]13n ε>+时，347log ()34333333()()()7747474n n n P εε-=⋅-=⋅<⋅=，所以数列{}n P 收敛.【点睛】知识方法点拨：与新定义有关的问题的求解策略：1、通过给出一个新的定义，或约定一种新的运算，或给出几个新模型来创设新问题的情景，要求在阅读理解的基础上，依据题目提供的信息，联系所学的知识和方法，实心信息的迁移，达到灵活解题的目的；2、遇到新定义问题，应耐心读题，分析新定义的特点，弄清新定义的性质，按新定义的要求，“照章办事”，逐条分析、运算、验证，使得问题得以解决.方法点拨：与数列有关的问题的求解策略：3、若新定义与数列有关，可得利用数列的递推关系式，结合数列的相关知识进行求解，多通过构造的分法转化为等差、等比数列问题求解，求解过程灵活运用数列的性质，准确应用相关的数列知识.。

山东师范大学附属中学2021届高三第七次模拟考试语文试题 Word版含答案

绝密★启用前试卷类型A山东师大附中高三第七次模拟考试语文模拟试卷本试卷分第Ⅰ卷和第Ⅱ卷两部分，共7页，满分为150分，考试用时150分钟，考试结束后将答题卡交回。

留意事项：1．答卷前，考生务必用0.5毫米黑色签字笔将自己的姓名、准考证号、考试科目填写在规定的位置上。

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不按以上要求作答的答案无效。

第Ⅰ卷（选择题，共36分）一、（15分，每小题3分）1．下列词语中加点的字，读音全都正确的一组是（）A．处．理（chù）打烊．（yàng）入场券．（quàn）弄巧成拙．（zhuō）B．应．届（yīng）卡．壳（kǎ）佝偻．病（lóu）廉价．．行事（biàn）C．临时．．（zàn）由于（wèi）一服．药（fú）混．水摸鱼（hún）D．针灸．（jiǔ）憎．恶（zēng）明晃．晃（huǎng）退避三舍．（shè）2．下列各句中，没有错别字的一项是（）A．目前，出口疲软，消费低迷，种种手段难以有效促进经济增长，而固定资产投资却可以产生立杆见影的效果，因而成为各方关注的焦点。

B．邀请企业家对高校生创业项目进行梳理和把脉，有助于订正高校生的一些偏面生疏，弥补他们阅历匮乏的缺陷，对其日后成功创业大有裨益。

C．横滨世乒赛落下帷幕，中国队囊括了单项金银牌，国人兴奋之余心生感慨：我们的表现当然可以赢得世界鄙视，却易导致球赛精彩不再。

D．合肥新机场建设如火如荼，它的建成将使本省交通枢纽地位更加凸显，有助于安徽在中部地区的新一轮竞争中夺得头酬。

江苏省南京师范大学附属中学江宁分校等2校2023届高三下学期一模英语试卷及答案

高三英语第二部分阅读（共两节，满分50分)第一节（共15小题:每小题2.5分，满分37.5分)阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项。

ARoadside OdditiesThere are many different types of roadside oddities,from giant museums to a person's garage. The one thing they have in common is that they all spark people's interest and cause them to stop. Do you want to know more about those odd roadside attractions?You'll just have to pull off the road to find out!What Is The Thing?Driving between Texas and Arizona,you can't miss the signs for The Thing.Giant billboards at the side of the road ask,"The Thing?What is it?"They call it the"Mystery of the Desert." Whatever else it is,The Thing is one of thousands of roadside attractions around the world. Roadside attractions are weird and wonderful.They invite people to stop and check them out.Boll Weevil MonumentYou've probably heard of monuments for presidents,but have you ever seen one for a bug? The Boll Weevil Monument in Enterprise,Alabama,is one of the only statues in the world dedicated to a pest.In1915,the bug destroyed the city's cotton crops,forcing farmers to grow different types of plants,such as peanuts.In the end,growing crops other than cotton helped the people of Enterprise.So they built a monument to honor the weevil.Lucy the ElephantIn1881,James fferty built the world's largest elephant to attract people to the land he was selling.The six-story building in Margate City,New Jersey,is covered with12,000square feet(3,658sq m)of metal.Today,Lucy the Elephant is one of America's oldest roadside attractions. You can still climb inside her.World's Largest BasketWhen you're going on a picnic,you often pack a picnic basket,but not one that's seven stories tall!Employees at the Longaberger Basket Company in Newark,Ohio,get to work inside the world's largest basket.The building is a replica of Longaberger's Medium Market Basket. When it was first built,a local pilot flew his small plane through the handles!21.What is Roadside Oddities mostly about?A.How to plan a trip to see roadside attractions.B.How wonderful and odd roadside attractions are.C.How roadside attractions are built.D.Where to buy roadside attractions.22.What caused the farmers to build the monument to the boll weevil?A.The boll weevil helped farmers decide to grow new plants.B.The boll weevil ate all the bugs harmful to plants.C.The boll weevil helped all the cotton to grow.D.The boll weevil was a roadside attraction.23.What do the world's largest elephant and the world's largest picnic basket have in common?A.Both are built the way people can go inside.B.Both are located in the State of Ohio.C.Both are no longer open to visitors.D.Both were built by the same person.BOne cold winter day,a dog walked to the edge of an icy river in Poland.Nobody know for sure where the dog came from or what he was doing there.But he was about to have a big adventure.Without warning,the ice that the dog was standing on the broke away from the land.The dog was swept down down the river on the sheet of ice half the size of football field.The frightened dog looked for a way to get back to the shore,but he was trapped on the ice.the river was too cold for him to swim to safety.Some firefighters saw the dog drifting down the river as he passed through their city.They tried to help him,but they couldn't reach him.The firefighters could only watched as the ice carried the dog farther down the river.On the fourth day,the dog passed the mouth of the river and was swept out into the Baltic Sea.he had traveled more than75miles(120km)from where he began.he was moving farther away from land and any hope of rescue.The piece of ice he was standing on shrunk to the size of picnic table.The dog was facing a deadly end to his an adventure，but his luck was about to change.some scientists and sailors aboard a research ship named the Baltica were passing through the area.They saw an animal moving on the ice in the distance and decide to ascertain.At first,people on the ship thought the animal was a seal.they were amazing when they got closer and saw that the"seal"had four legs,floppy ears,and a tail.they had found a dog floating on the ice15Miles(24km)from land.The Baltica's sailors were able to bring their ship close to the dog.They lowered a net next to the dog.but he was too scared to climb into it.the dog even slipped and fell into the cold water while they were trying to help him.Luckily,he was able to climb back onto the slippery ice.Fearing that the dog would drown,the crew lowered a raft.Adam,the ship's mechanic,used the raft to get close to the dog.Adam grabbed the dog by the back of the neck and pulled him into the raft.Now,Baltic is the mascot of the research ship that found him and travels with the crew everywhere.He has many fans around the world who learned about his incredible journey and rescue.The president of Poland even wrote a letter to the crew of the ship,praising them for savingBaltic's life.Baltic started out cold,wet,and alone on the ice but ended up warm,dry,and surrounded by new friends.24.What is the main problem in this story?A.Tho dog slipped into the water.B.The dog was trapped on a piece of floating ice.C.The dog had nothing to eat for daysD.The river was too cold for the dog to swim in.25.How do you understand the underlined word in paragraph5?A.Do some researchB.Solve a problemC.Rescue someoneD.Try to find out more about it26.What can best describe the dog?A.Adventurous and LuckyB.Brave and PersistentC.Homeless and BraveD.Scared and Fortunate27.What can be the best title of the article?A.A15-mile Icy Adventure.B.Baltic RescueC.An Adventurous DogD.An Incredible JourneyCA comic called Finnish Nightmares has come under the spotlight on Chinese social media and generated a new term"jingfen",referring to being“spiritually Finnish".Matti,the main character in the comic,is a typical Finn who fears small talk and doesn't like people entering his personal space.“Matti tries his best to do to others as he wishes to be done to him:to give space,be polite and not bother with unnecessary conversations,"Chen Si,26,who studied in Finland said,“In Finland,you don't expect someone to sit beside you if there are other seats available.”Why has this seemingly awkward social conduct struck a chord with so many young Chinese people?This may be because today's young people need more privacy and space than any previous generations.“It has inspired many of them to silently rebel against unwanted socialization,which makes them feel uncomfortable,”reported website Culture Trip.The phenomenon has also been attributed to the one-child policy.Most modern young Chinese have grown up without siblings and with very few cousins.“I believe that there are many more cases of'ijingfen'in our generation compared to our parents'generation.…they find they can live alone happily,”Chen said.“Chinese people do have a shy and introverted side,like the Finnish.Moreover,modern technology has changed our ways of communication.It distances us from each other,especially young people.They might become a little anthropophobic(人群恐怖症),just like Matti.”said Yang Xinyi,a professor of Finnish language and culture at Beijing Foreign Studies University.But living alone and avoiding unnecessary human contact doesn't necessarily have to be abad thing.For many people,“jingfen”doesn't actually mean refusing to socialize.Instead,livingin a busy society that places great pressure on their shoulders,many people just want to keep some personal space for themselves.Indeed,if a person seems as introverted and unapproachable as Matti,they could still be warm and friendly on the inside28.What are the Finnish famous for?A.Being social animals.B.Being self-centered and distant.C.Producing popular comics.D.Respecting private space.29.Why do young Chinese like Matti?A.They're fond of chasing trendy things.B.They're anthropophobic like Matti.C.Matti bears ideal characters they lack.D.Matti is successfully marketed by its company.30.Which of the following may Chen Si agree with?A.Young Chinese rebel against socialization.B.One-child policy contributes to solo life of the young.munication styles distance people from each other.D.The Finnish always keep a far conversation distance.31.What's the last paragraph mainly about?A.Jingfen has its own merits.B.Jingfen doesn't mean avoiding socializing.C.Modern people are under huge social pressure.D.A warm heart lies behind a shy face.DBecoming a grown up means something very different than it used to.In1975,there was one dominant adult milestone—family formation—that people largely experienced during their20s.Today,while the milestones have remained the same,the pathways are more diverse.An adult today is educated and employed,though not necessarily married or a parent.A majority of Americans view education and employment as extremely important milestones of adulthood, while more than half of young Americans believe that marrying and having children are not very important in order to become an adult.Most still marry,eventually,but singleness lasts longer.In the1970s,80percent of Americans married by age30.Now that same percentagewill be married by45.A majority of Americans believe individuals should finish school and be employed full-time by a median age of22,but when asked when individuals should become financially independent, a majority of Americans responded with a median age of21.Clearly,most Americans believe young people should accomplish economic milestones before starting a family.More young people are employed full-time overall,but women have been the“driving force”behind that growth.In1975,just under50percent of young women were employed.Now that share is above two-thirds.Further,forty years ago essentially all of the women out of the labor force were occupied as homemakers,and now that percentage is less than half.Over the same period,women's fortunes have increased while men's have declined,though the genders haven'treached parity(平等).About a third of those between the ages of18and34rely on their parents for financial assistance,and that share may actually be larger,as“financial independence”means different things to different people.Young people may omit(略去)the financial help from their parents such as a down payment for a mortgage or help paying the rent or other bills,when reporting their income.This kind of help should not be underestimated.32.What do modern young Americans think of family formation?A.It limits personal freedom.B.It shouldn't be a sign of adulthood.C.It should be finished at an early age.D.It is easier than achieving financial independence.33.The comparison of Americans'marriage age today with that in the1970s indicates________.A.Today's Americans are less willing to marryB.Most Americans now prefer an early marriageC.The marriage rate in the American society has droppedte marriage is increasingly popular among Americans34.Which of the following sentences can best summarize Paragraph4?A.Males lag behind females in finding an employment.B.Young women drive the growth in the U.S.workforce.C.Workers of both genders earn equal salaries and respect today.D.Success means different things to different groups of young people.35.What can we infer from the last paragraph?A.Women gain financial independence earlier than men.B.Young people cannot lead a decent life with their income.C.Many young people suffer from poor housing conditions.D.More than1/3of young people are still financially dependent.第二节（共5小题:每小题2.5分，满分12.5分）阅读下面短文,从短文后的选项中选出可以填入空白处的最佳选项。

西南大学附属中学2025届高三英语第一学期期末质量检测模拟试题含解析

西南大学附属中学2025届高三英语第一学期期末质量检测模拟试题考生须知：1．全卷分选择题和非选择题两部分，全部在答题纸上作答。

选择题必须用2B铅笔填涂；非选择题的答案必须用黑色字迹的钢笔或答字笔写在“答题纸”相应位置上。

2．请用黑色字迹的钢笔或答字笔在“答题纸”上先填写姓名和准考证号。

3．保持卡面清洁，不要折叠，不要弄破、弄皱，在草稿纸、试题卷上答题无效。

第一部分（共20小题，每小题1.5分，满分30分）1．The book is now out of print, ______ it can easily be borrowed from libraries. A．and B．forC．so D．but2．—Why not buy a second-hand car first if you don’t have enough money for a new one?—That’s a good ________.A．saying B．questionC．account D．suggestion3．That preserved historic village connected to downtown by a highway is ________ many office workers spend their weekends.A．what B．howC．where D．why4．—Simon will listen to music every time he comes across a maths problem.—You know, music is the source of ______ in life.A．inspiration B．identificationC．reaction D．recreation5．— May I go out to play basketball, Mum?—________ Do what you like.A．Go ahead! B．You’ve got it.C．It’s your turn. D．Not at all!6．It's always a good idea to have a second key somewhere________ you lose the first one.A．in case B．now thatC．even though D．as long as7．Opening the door, Mrs．Summers found family of cats shut in the bathroom．A．a; 不填B．a; the C．the; 不填D．the; the8．I had hardly rung the bell ________ the door was opened suddenly, and my son rushed out to greet me.A．before B．untilC．as D．since9．Young couples will be happy to see their babies _______ with good health and intelligence when they are born.A．to bless B．blessingC．blessed D．being blessed10．-- Did Jim come?-- I don’t know. He _______ while I was out.A．might have come B．might comeC．must have come D．should have come11．The hall of the school can one thousand people.A．sit B．seat C．be sat D．be seated12．It seems late to say anything. We probably ______ it if we had made an offer sooner. A．would have got B．would getC．had got D．got13．—What’s the recent progress in Xiong’an New Area, first announced two years ago? —It _____ increasing attention from foreign companies given its huge development potential.A．has been attracting B．had attracted C．would be attracting D．was attracting 14．The new playground to be built next year will be ____________ the old one.A．as three times big as B．three times as big asC．as big as three times D．as big three times as15．---I’m sure Andrew will win the first prize in the final.---I think so. He _____ for it months.A．is preparing B．has been preparing C．was preparing D．had been preparing 16．Maybe some of you are curious about what my life was like on the streets because I’ve never really talked about it ______.A．in place B．in turn C．in force D．in depth17．This is the first time that we ________a film in the cinema together as a family . A．see B．had seenC．saw D．have seen18．The shocking news made me realize _____________ terrible problems we would face.A．that B．howC．why D．what19．Much to my ______, my vocabulary has expanded a great deal.A．delighting B．delighted C．delight20．—He is eager to try something he has never tried before.—Oh, I see. That’s _______ he’s differ ent from others.A．when B．where C．how D．what第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。

黑龙江省哈尔滨师范大学附属中学2020届高三英语9月月考试题

黑龙江省哈尔滨师范大学附属中学2020届高三英语9月月考试题本试卷分为第I卷（选择题）和第II卷（非选择题）两部分。

满分150分, 考试时间为120分钟。

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

AChina Small Group Tours◆Tour Route 1: 11 Days Private Beijing – Lhasa – X i’an – ShanghaiTour Highlights :Must-see sights in China－the Great Wall, Forbidden City, Terracotta WarriorsFollow us on a Buddhist pilgrimage to Tibet & appreciate the profound cultureHave a leisurely walk or an exciting bicycle ride on the time-honor ed City Wall of Xi’an View the soaring city skylines and feel the pulse of modern ShanghaiFrom $ 2, 459 per person◆Tour Route 2: 11 Days Private Bejing –Xi’an – Chonqing – Yangtze River Cruise –Yichang – ShanghaiTour Highlights:Must-see sights in China－the Great Wall, Forbidden City, Terracotta WarriorsTry biking on the Ming Dynasty City Wall of Xi' an, or tour by electric carEnjoy the Three Gorges scenery on Yangtze River & feel totally relaxedFrom $ 1, 879 per person◆Tour Route 3: 12 Days Private Beijing –Shanghai –Xi'an –Guilin –Yangshuo –Guilin – Hong KongTour Highlights:Must-see sights in China－the Great Wall, Forbidden City, Terracotta Warriors Experience the Bund, classical garden, modern and old in contrast in ShanghaiFeel the lively atmosphere & explore busy markets freely in Hong KongWalk into a local family, learn to cook Chinese food & dine with the hosts in their home From $ 2, 499 per person◆Tour Route 4: 12 Days Private Beijing –Xi’an – Chengdu – Guilin – Shanghai Tour Highlights:Must-see sights in China－the Great Wall, Forbidden City, Terracotta Warriors, Giant Pandas Come to Chengdu，the hometown of giant pandas to visit and observe the cute creature Cruise on the meandering Li River & admire Guilin landscapeWalk into a local Chinese family, interact & dine with the hosts in their homeFrom $2, 079 per person1. What do Tour Route 1 and Tour Route 2 have in common?A. They have cycling activities.B. They include a visit to Tibet.C. Visitors enjoy the Three Gorges scenery.D. Visitors pay the same amount of money.2. What is special about Tour Route 2?A. Tourists can travel by bike.B. Tourists can visit a huge dam.C. Tourists can dine with a family.D. It is the most expensive of the four.3. Where c an visitors enjoy China’s rare animals?A. Tour Route 1.B. Tour Route 2.C. Tour Route 3.D. Tour Route 4.BAlan Naiman was known for being very careful about how he spent his money. But even those closest to him had no knowledge of the fortune he quietly gathered and the last act he had planned.Naiman died of cancer at age 63 last January. The man from the American state of Washington gave most of his money to groups that help the poor, sick, disabled and abandoned children.He gave them $11 million. The large amount of his fortune shocked the groups that received his gifts and even his best friends. That is because Naiman had been known to repair his own shoes with duct tape. He had sought deals to buy food from grocery stores at closing time and taken friends out to lunch at low cost restaurants.Naiman died unmarried and childless. He loved children but also was intensely private. He saved, invested and worked extra jobs to gather money. He rarely spent the money on himself after seeing how unfair life could be for children who suffer most.Naiman was a former banker who worked for the past 20 years at the state Department of Social and Health Services. He earned $67,234 a year and also took on side jobs. Sometimes, he worked as many as three at a time. He saved and invested enough to make several millions of dollars. He also received millions more from his parents after they died.He left $2.5 million to the Pediatric Interim Care Center in Washington. The center is a private organization that cares for babies born to mothers who abused drugs and children with drug dependency. The center used the money to pay off its mortgage (按揭) and buy a new vehicle to transport the children.Naiman gave $900, 000 to the Treehouse, where children without parents can choose toys and necessities for free. Treehouse is using Naiman’s money to expand its college and career support services Statewide.4. Why were Naiman’s best friends shocked at his donation?A. He left nothing to his relatives.B. He was dishonest in his economic conditions.C. He received wealth from his parents secretly.D. He used to be very careful to spend money.5. Naiman was greatly concerned about _________.A. his moneyB. his careerC. children in troubleD. life after retirement6. What does Paragraph 5 mainly talk about?A. Why Naiman’s parents turned rich.B. Where Naiman’s fortune came from.C. How hard Naiman worked all his life.D. How clever Naiman was togather money.7. How did Naiman’s m oney benefit the Pediatric Interim Care Center?A. It improved its transport system.B. It offered more toys to children.C. It sent more children to college.D. It helped more women give up drugs.CGoldfish have pretty boring lives, so may be it’s a good thing they can only concentrate for nine seconds! But according to a new research, humans are becoming like goldfish. Our attention span (时长) is getting shorter ...and it’s all because of technology.“We move quickly from one site to another on the web,” said Doctor Ted Selker, a computer scientist from Massachusetts, “and we are losing the ability to concentrate.” With millions of websites to choose from, the attention span of the average internet user is just seconds. There are other digital distractions（分心）too: email, instant messaging and quickie movies on websites.Some people are worried about the effect on young people. “You need time to understand and think about what you read,” said Julia Wood, from London. “Young people search the net all the time and their brains become full of useless information but there is no time to make sense of it. I am trying to persuade my pupils to read more books, so that they concentrate on one subject for longer.”Other teachers are trying more unusual methods to improve students’concentration. Anne Savan, from Wales, was so worried about her students that she started playing Mozart during her science lessons. She says that it had an amazing effect: “The music made them calmer, and their concentration was much be tter.”But not everyone believes that there is a problem. Ray Cole, an educational psychologist says, “On the web, young people learn to make quick decisions about what is and isn’t worth reading. They might look at five unhelpful websites very quickly, befor estopping and reading a sixth useful website more carefully. In a world with so much information available, this is an important skill.”8. Why does the writer mention “goldfish”?A. To introduce background.B. To compare two species.C. To introduce a topic.D. To suggest a way out.9. What may cause a shorter attention span according to Dr. Ted Selker?A. Skipping around the internet.B. Time to digest information.C. Traditional methods of reading.D. Making decisions.10. What will help students overcome a short attention span?A. Composing music.B. Texting messagesC. Reading more books.D. Watching quickie movies.11. What is Ray Cole’s attitude towards looking thro ugh websites quickly?A. Cautious.B. Unfavorable.C. Skeptical.D. Supportive.DThe idea of progress started to flower in the 17th century. At that time, many wise thinkers believed that man liberated by reason would rise to ever greater heights of achievement. The many expressions of human nature would be the engines of progress: language, business, science, and moral sensibility （道德感）. Unfortunately, most of those engines have failed to bring the desired human progress.The modern age has belonged to material progress and its main source has been science. Science gives people huge power to change the world. But can people be trusted to use it always for good? Think of biotechnology and information technology. And it is not just that scientific progress does not deliver the emotional good. People also fear that mankind is failing to manage science properly. The forests are disappearing; the ice is melting; privacy is leaking; life is becoming a depressing march in an ugly world.The point is not that science is harmful, but that scientific progress needs to bemapped tidily onto human progress. That relies on moral sensibility in its widest sense. This liberal force offers hope for a better future. The very idea of moral sensibility probably sounds out-of-date. But researchers find that people desire a sense of moral purpose which would give life dignity. People want to determine how the world works, not always to be determined by it. Moral sensibility is why people will suffer for their beliefs，and why acts of noble self-sacrifice are so powerful．It is admitted that our moral ideals will never be realized completely. But sometimes, however imperfectly, we can make progress. Human dignity requires the love of ideals for their own sake, but nothing requires that the love be returned. Human progress is neither guaranteed nor hopeless. Instead, it is up to us.12. What do we know about human progress from Paragraph 1?A. Human beings were greatly liberated by the idea of progress.B. Language failed to serve as an expression of human progress.C. People began to think about human progress in the 17th century.D. Many thinkers in the 17th century were optimistic about human progress.13. Why does science fail to bring the desired human progress?A. Scientific progress does not give people dignity.B. Proper governing is not guaranteed in the use of science.C. Science is misunderstood because of improper management.D. The engine of progress is sensitive and unreliable.14. What does the underlined phrase in Paragraph 3 refer to?A. Depressing life.B. Harmful science.C. Human progress.D. Moral sensibility.15．What is the main purpose of the passage?A. To stress the function of the idea of progress.B. To express concern about the death of moral sensibility.C. To show the importance of moral sensibility in human progress.D. To blame the harm of material progress to human development.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填入空白处的最佳选项。