河南省郑州市2021届高三上学期第一次质量预测(1月)英语试题含答案
郑州市2021年高中毕业年级第一次质量预测英语试题卷本试卷分四部分，考试时间120分钟，满分150分（听力成绩算作参考分）o 考生应首先阅读答题卡上的文字信息，然后在答题卡上作答，在试题卷上作答无效。
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，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 woman talking about?A. A place to live.B. A place to park.C. A place to visit.2. Where are the flowers now?A. In the sitting room.B. In the bedroom.C. In the kitchen.3. When can the woman fetch her computer?A. This Friday.B. Next Monday.C. Next Tuesday.4. Where does the conversation probably take place?A. At a school.B. At a hospital.C. At a restaurant.5. What is the man going to do in France?A. Study art.B. Travel around.C. Meet customers.第二节（共15小题;每小题1.5分，满分22.5分）听下面5段对话或独白。
每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟;听完后,各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料，回答第6、7题。
6. What did the woman ask to do at first?A. Try the gloves.B. Change the gloves.C. Return the gloves.7. How much will the woman pay to get the gloves she likes?A. $5.B. $15.C. $20.听第7段材料，回答第8至10题。
8. What happened to Mr. Yang?A. He won the marathonB. He lost weight successfully.C. He became a professional runner.9. How many hours does Mr. Yang train every week?A. About 10 hours.B. About 12 hours.C. About 14 hours.10. Which sport does Mr. Yang think is cheap and relaxing?A. Cycling.B. Boxing.C. Swimming.听第8段材料，回答第11至13题。
11. What is the possible relationship between the two speakers?A. Husband and wife.B. Reporter and actress.C. Director and actress.12. What does the woman do in the play?A. Writes the play.B. Acts a young lady.C. Directs the play.13. What does the woman want to be after this play?A. A director.B. A singer.C. A film star.听第9段材料，回答第14至16题。
14. What is the course tutor in charge of about the paper?A. The process.B. The topic.C. The research methods.15. What should the girl start her paper with?A. The plan.B. The research.C. The book list.16. When should the paper be handed in?A. Mid-January.B. Early March.C. Late May.听第10段材料，回答第17至20题。
17. What kind of novel by James Harman is a bestseller?A. Hons.B. Love.C. History.18. How do most people know Anna Collins?A. From a movie,B. From a novel.C. From a report.19» Whose ten books achieved large sales?A. Anna Collins's.B. Sylvia Daniels's.C. Ian Cheriton's.20. What can be known about Sylvia Daniels?A. She used to work in a restaurant.B. She has got a best actress award.C. She seldom comes back to Tanbridge.第二部分阅读理解（共两节，满分40分）第一节（共15小题; 每小題2分，满分30分）阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。
AWe have a wide variety of small group training programs. Check out what we offer below.•Reformer Pilates （普拉提）Description: Reformer Pilates will improve your balance and stability. You are guaranteed achallenging full-body workout. We will get your heart rate up through exercises that have a low effect on your joints. Reformer Pilates is for everyone.Session: Tuesday 4：15 p. m. / Thursday 1：30 p. m. / Friday 5：30 p. m.All classes are 45 minutes in our Mind Body Studio.Price：$130 （6 weeks）•Self DefenseDescription: This is a women-only program that covers the basics of self- defense . Self-defense classes can offer exercise benefits such as muscle finning and strengthening, and improved balance and coordination (协调).Such classes also help you improve your physical condition in every part of your body, your mental approach to health and fitness and your chances of escaping from an attack.Session: Monday 6 - 30 p.m.---8：30 p. m.Price；$79 (4 weeks)•BoxfitDescription: Boxfit is a fitness class that uses the training principles from a number of martial arts disciplines. Punching bag (沙袋)exercises and focused pad work create a time — effective and dynamic workout. No body contact, perfect for both males and females of all fitness levels.Session: Monday, Wednesday and Friday 6-45 a. m.---7：45 a. m.Price：$140 (8 weeks)•Women’s FitnessDescription: We are here to provide you with a unique 4-week program to help refresh your energy and encourage a deeper understanding for setting and achieving health and fitness goals. Different from other fitness programs, this program is given online.Session: Monday and Wednesday l：00 p. m. ---2:00 p. m.Price：$125 (4 weeks)21. What is the benefit of Reformer Pilates?A. It trains people to lose weight.B. It improves people's mental health.C. It helps people with heart problems.D. It develops people's balance and stability.22. Which program will suit Lily if she wants to protect herself from an attack?A. Boxfit.B. Self Defense.C. Reformer Pilates.D. Women's Fitness.23. What is special about Women's Fitness?A. The training principle it uses.B. The workout it creates.C. The health and fitness goals it sets.D. The way the class is given.BI like to believe that some things in life never change. A constant, ever since I could hold a pen, has。
2021届安徽省合肥市高三上学期第一次教学质量检测英语试题(word版)
合肥市2021年高三第一次教学质量检测英语试题（考试时间：120分钟满分：150分）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.I8.C.£9.15.答案是C.1. Where are the speakers?A. In a library.B. In a bookstore.C. In a classroom.2. What does the man mean?A. Great minds think alike.B. Talent is a high priority.C. Practice makes perfect.3. What can we say about the woman?A. She is optimistic.B. She is silent.C. She is sensitive.4. What arc the speakers talking about?A. Developing a healthy habit.B. Adopting a green lifestyle.C. Using public transportation.5. What is the man doing?A. Giving a speech.B. Chairing a meeting.C. Conducting an interview.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,听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟：听完后，各小题将给出5秒钟的作答时间。
浙江省绍兴市2021届高三4月适应性考试(二模)英语试题(含答案)
浙江省高考科目考试绍兴市适应性试卷（2021 年4 月）英语试题第Ⅰ卷注意事项：1.答第Ⅰ卷前，考生务必将自己的姓名、准考证号填写在答题卡上。
2.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。
不能答在本试卷上，否则无效。
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，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.Where does the dialogue probably happen?A. In the ticket office.B. On the platform. C．In the waiting room.2.What are the speakers mainly talking about?A.Customs in Rome. B．Driving rules in the US. C．Traffic rules in Hongkong.3.What does the man intend to do tomorrow?A. Have a good sleep. B．Go to see the dentist. C．Watch a soccer match.4.What is the woman’s suggestion for the man?A. Put off his travel to New Zealand.B.Try various means of payment.C.Carry enough cash on him.5.How does Tom feel about his hair?A. He feels worried about it.B.He feels it out of styleC.He feels confused about it.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。
河南省郑州市第四十七中学2015届高三上学期第一次月考英语试题 Word版含答案
APhil White has just returned from an 18,000-mile, around-the-world bicycle trip. White had two reasons for making this epic journey. First of all, he wanted to use the trip to raise money for charity, which he did．He raised ￡70,000 for the British charity, Oxfam. White's second reason for making the trip was to break the world record and become the fastest person to cycle around the world. He is still waiting to find out if he has broken the record or not.White set off from Trafalgar Square, in London, on 19th June 2004 and was back 299 days later. He spent more than l,300 hours in the saddle（车座）and destroyed four sets of tyres and three bike chains. He had the adventure of his life crossing Europe, the Middle East, India, Asia, Australia, New Zealand and the Americas. Amazingly, he did all of this with absolutely no support team. No jeep carrying food, water and medicine. No doctor. Nothing! Just a bike and a very, very long road.The journey was lonely and desperate at times. He also had to fight his way across deserts, through jungles and over mountains. He cycled through heavy rains and temperatures of up to 45 degrees, all to help people in need. There were other dangers along the road. In Iran, he was chased by armed robbers and was lucky to escape with his life and the little money he had．The worst thing that happened to him was having to cycle into a headwind on a road that crosses the south of Australia. For l,000 kilometres he battled against the wind that was constantly pushing him. This part of the trip was slow, hard work and depressing, but he made it in the end. Now Mr. White is back and intends to write a book about his adventures.21. When Phil White returned from his trip, he __________.A. broke the world recordB. collected money for OxfamC. destroyed several bikesD. travelled about l,300 hours22. What does the underlined word "epic" in Paragraph l most probably mean? ________A. Very slow but exciting.B. Very long and difficult.C. Very smooth but tiring．D. Very lonely and depressing.23. During his journey around the world, Phil White __________.A. fought heroically against robbers in IranB. experienced the extremes of heat and coldC. managed to ride against the wind in AustraliaD. had a team of people who travelled with him24. Which of the following words can best describe Phil White? _______A. Imaginative．B. Patriotic.C. Modest．D. Determined.BThe evidence for harmony may not be obvious in some families. But it seems that four out of five young people now get on well with their parents, which is the opposite of the popularly-held image of unhappy teenagers locked in their room after endless family quarrels.An important new study into teenage attitudes surprisingly shows that their family life is more harmonious than it had ever been in the past. “We were surprised by just how positive today’s young people seem to be about their families,” said one number of the resear ch team. “They’re expected to be rebellious and selfish but actually they have other things on their minds: they want a car and material goods, and they worry about whether school is serving them well. There’s more negotiation and discussion between parent s and children, and children expect to take part in the family decision-making process. They don’t want to rock the boat.”So it seems that this generation of parents is much more likely than parents of 30 years ago to treat their children as friends. “My parents are happy to discuss things with me and willing to listen to me,” says 17-year-old Daniel Lazall. “I always tell them when I’m going out clubbing. As long as they know what I’m doing, they’re fine with me.” Susan Crome, who is now 21, agrees. “Look ing back on the last 10 years, there was a lot of what you could call negotiation. For example, as long as I’d done all my homework, I could go out on a Saturday night. But I think my grandparents were a lot stricter with my parents than that.”Maybe this positive view of family life should not be unexpected. It is possible that the idea of teenage rebellion is not rooted in real facts. A researcher comments, “Our surprise that teenagers say they get along well with their parents comes because of a brief period in our social history when teenagers were regarded as different beings. But that idea of rebelling and breaking away from their parents really only happened during that one time in the 1960s when everyone rebelled. The normal situation throughout history has been a smooth change from helping out with the family business to taking it over. ”25. What is the popular image of the teenagers today? _________.A. They worry about school.B. They dislike living with their parents.C. They have to be locked in to avoid troubles.D. They quarrel a lot with other family members.26. Compared with parents of 30 years ago, today’s parents ____________.A. go to clubs more often with their childrenB. are much stricter with their childrenC. car e less about their children’s lifeD. give their children more freedom27. According to the writer, teenage rebellion __________.A. may be a false beliefB. is common nowadaysC. existed only in the 1960sD. resulted from changes in families28. What is the passage mainly about? _________A. Negotiation in family.B. Education in family.C. Harmony in family.D. Teenage trouble in family.CWhy do human beings still risk their lives under ground and doing one of the dirtiest and most dangerous jobs in the world? It is an increasingly urgent question, given the recent mining accidents in Sago, W. Va and Huntington, Utah. A small group of engineers and robotics experts look forward to a day in the not-too-distant future when robots and other technology do most of the dangerous mining work.Robotic technology, in particular, holds much promise, McAteer says, especially when it comes to mapping mines and rescuing trapped miners --- the special operations of the mining industry.One of the first mining robots was developed five years ago at Carnegie Mellon University’s Robotics Institute. It was called Groundhog. It used lasers(激光器) to “see” in dark tunnels and map abandoned mines—some of the most dangerous work in the business.The latest design is called Cave Crawler. It’s a bit smaller than Groundhog，and even more advanced. It can take photos and videos and has more sensors that can detect the presence of dangerous gases. Incredibly，the robot has a real sense of logic. If it comes across an obstacle it gets momentarily confused. It has to think about what to do and where to go next. Sometimes it throws a fit just like a real person.The greatest problem, though, is cost. The money of the earliest research project was provided by the government, but that money had dried up, and it’s not clear where future money will come from. Partly for that reason, and partly because of advances in safety, mining is not nearly as dangerous as it was in the past. Since 1990, fatalities(致命性) have declined by 67% and injuries by 51% , according to the National Mining Association.Some experts predict that robots in mines will serve much of the same function that they do in the automotive industry. The robots do the most boring and dangerous jobs，but won’t get rid of the need for human workers.29. The latest robot is more advanced than Groundhog, mainly because ____.A. it can map abandoned minesB. it can see in the dark tunnelsC. it’s smaller than GroundhogD. it has a real sense of logic30. The underlined phrase “throws a fit” in paragraph 4 probably means“______”A. gets angryB. gets sickC. becomes hungryD. becomes cheerful31. We can infer from the text that ______.A. the mining robots do most of the mining work at presentB. groundhog can discover the presence of dangerous gasesC. experts are trying to make robots help miners with dangerous workD. robots cannot do dangerous work in dark areas32. What can be the best title for the text? ________A. Mining Accidents in AmericaB. Robots in MinesC. Cave crawler, the Latest RobotD. The Future of RobotsDNews that Microsoft made a $44.6 billion bid to buy Yahoo resulted in heated discussions made by many Internet users. Here are some responses:Diane Burke of Weeks bury, KentuckyI think it would definitely be an interesting combination. Everyone recognizes the names Yahoo and Microsoft, but everyone also says, “Did you Google it?” Such a catchphrase (时髦话) is going to be hard to beat.Shaun Carney of Laurelville, OhioI think the merger (合并) will provide more competitions for Google. I don’t think the merger will allow Microsoft to develop faster than Google, though. I believe the increased competitionthis merger brings will force Google to stay on top of its game by offering more fresh and original Internet tools and expanding on the tools it already offers.Toni Suarez of Hacienda Heights, CaliforniaI view the merger as a necessary element in preventing a monopolization (垄断). Perhaps it would bring better high technology innovations to e-mail and help in researching and developing a better Internet!Rick R. of Edgewater, FloridaIt sounds like a disaster to me. If this were to happen, I would stop using my Yahoo e-mail ac count because I don’t like the feeling of Microsoft spying upon my business. I will sign up for Google.Antonio Glosser of Kansas City, MissouriRight now, Yahoo offers a lot of features and tools at no cost for all different levels of Internet users. Micr osoft seeks nothing but profit. Undoubtedly, they’ll do nothing other than find ways to start removing Yahoo’s formerly non-priced features. Microsoft’s greed will ruin the great thing that Yahoo currently is.33. How many companies are mentioned in the passage?A. One.B. Two.C. Three.D. Four.34. Which of the following statements is NOT true according to the passage?A. Shaun’s attitude towards Google is passive.B. Toni believes the Internet will have a promising future.C. Rick will support Google after the merger.D. Antonio is afraid that the merger will cost Yahoo’s free features.35. The passage is mainly about ______.A. opinions on the merger of Yahoo and MicrosoftB. the strengths of Yahoo and MicrosoftC. the strengths and weaknesses of large companiesD. the future of Yahoo and Microsoft第二节（共5小题；每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
高三试卷英语-浙江省名校新高考研究联盟(Z20名校联盟)2021届高三第一次联考英语试卷及参考答案
0608 Z20名校联盟2021届高三第一次联考英语试题选择题部分第一部分听力（共两节，满分30分）第一节（共5小题：每小题1．5分，满分7．5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置听完每段对话后．你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.What time is it now?A.9:35B:9:20.C:9:052.What will the woman have?A.Tea.B.Coffee.k.3.What does the man want to buy?A.A car.B.An apartment.C.A necklace.4.What does the man mean?A.I he woman can try cooking this term.B.Cooking is time-consuming.C.Next term's schedule is lighter than this term’s5.What does the man think of the new drug?A.Ineffectiveeful.C.Successful第二节（共15小题；每小、题1.5分，满分22.5分）听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料．回答第6、7题。
6.Why won’t the man see The Dark Night?A.He can’t get the ticket.B.He is not interested in it.C.He thinks it too horrible.7.Where will the speakers go to see a movie?A.To the Central TheaterB.To the Red Star CinemaC.To the Sunshine Movie House听第7段材料，回答第8至9题。
2021届河南省九师联盟全国高三2月阶段性测试英语检测卷(二)(含答案 无听力试题)
2021届全国高三单元定向检测卷.英语（二）必修1阶段性测试一（60分钟100分）第一部分阅读理解（共两节，满分20分）第一节（共4小题;每小题2. 5分，满分10分）阅读下面短文，从每题所给的A、B、C和D四个选项中，选出最佳选项。
I suppose it started when a message appeared in my Skype Messenger inbox. It began innocently enough, “Want to invite you to join my next challenge group一we'll be focusing on fitting in 30 minutes of exercise, balanced nutrition and motivation."I closed my browser（浏览器）but the meaning behind the message stuck with me all day. The more the day went on, the heavier her message weighed on me. The insecurity about my body was brought to life by one little Skype message. That got me thinking about social media and how it took up too much of my time.I had to step away from the mindless scrolling （滚屏）. The catching-up that drew me into social media broughta daily stream of annoyance: The streams of photos from a friend that left me questioning whether I did enough for my son. Vacation posts were fun but reminded me that we only took two vacations this year. Skype had become a bad habit that stole my happiness by magnifying（放大）every insecurity I had about myself and my life. In an effort to recreate the simplicity of life, I deleted my Skype account.I felt lost at first. I missed the mindless scrolling while waiting in lines. I'd been in the habit of checking Skype first in the morning and last at night. However♦ I overcame and started taking yoga classes and so on.Leaving Skype left my mind quiet enough to remember a few important things： My body is fine just the way it is, My close friends will text or call me if they are struggling and I will help them. I do my best to be a good mother. Our happy moments as a family are increased.After a few weeks, I returned to Skype. I looked in on a daily basis, but only once. Skype is not an addiction any more. I'm much happier for that.1.How did the author feel after she closed her browser?A.Excited.B. Happy.C. Uneasy.D. Surprised.2.Why did the author delete her Skype account?A. To live a simple life.B. To print out photos.C. To have enjoyable vacations.D. Tosave more money.3.How did the author spend her free time after deleting her Skype account?A. By scrolling mindlessly.B. By talking with her friends.C. By expecting important things.D. By developing some new hobbies.4.What can be a suitable title for the text?A. Disadvantages of SkypeB. Quitting Addiction to SkypeC. 1 houghts About Social MediaD. Enlarging the Social Circle第二节（共5小题;每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
潍坊市2021届高三上学期1月份期末考试英语试题含标准答案
mountain areas—to underprivileged children in backward rural of Sri Lanka．
Having witnessed the hardships faced by children whose villages have no library facilities，
imagination，”he said．
Apart from giving away books，Dasanayaka also speaks to the children for a few minutes，usually
under a roadside tree，highlighting the value of reading，books and authors．He then conducts a
B．To advocate cooking skills．
C．To enhance the importance of economy．
D．To honor mules for their role in agriculture．
3．Which festival falls on November 11th?
to rural villages and distributes the reading material to children free of charge．
He began the program in 2017 with 150 books—some of his own and others donated by friends，
A．With a large sum of money．
B．With a used motorbike and 150 books．
第四关 以立体几何为背景的新颖问题为背景的填空题-(原卷版)
压轴填空题第四关 以立体几何为背景的新颖问题为背景的填空题【名师综述】以立体几何为背景的新颖问题常见的有折叠问题，与函数图象相结合问题、最值问题，探索性问题等. 对探索、开放、存在型问题的考查，探索性试题使问题具有不确定性、探究性和开放性，对学生的能力要求较高，有利于考查学生的探究能力以及思维的创造性，是新课程下高考命题改革的重要方向之一；开放性问题，一般将平面几何问题类比推广到立体几何的中，不过并非所有平面几何中的性质都可以类比推广到立体几何中，这需要具有较好的基础知识和敏锐的洞察力;对折叠、展开问题的考查，图形的折叠与展开问题（三视图问题可看作是特殊的图形变换）蕴涵了“二维——三维——二维” 的维数升降变化，求解时须对变化前后的图形作“同中求异、异中求同”的思辩，考查空间想象能力和分析辨别能力，是立几解答题的重要题型.类型一 几何体在变化过程中体积的最值问题典例1．如图，等腰直角三角形ABE 的斜边AB 为正四面体A BCD -的侧棱，2AB =，直角边AE 绕斜边AB 旋转一周，在旋转的过程中，三棱锥E BCD -体积的取值范围是___________.【来源】山东省菏泽市2021-2022学年高三上学期期末数学试题【举一反三】如果一个棱锥底面为正多边形，且顶点在底面的射影是底面的中心，这样的棱锥称为正棱锥.已知正四棱锥P ABCD -内接于半径为1的球，则当此正四棱锥的体积最大时，其高为_____类型二 几何体的外接球或者内切球问题典例2．已知正三棱锥S ABC -的底面边长为32P ，Q ，R 分别是棱SA ，AB ，AC 的中点，若PQR 是等腰直角三角形，则该三棱锥的外接球的表面积为______．【来源】陕西省宝鸡市2022届高三上学期高考模拟检测（一）文科数学试题【举一反三】已知菱形ABCD 中，对角线23BD =，将ABD △沿着BD 折叠，使得二面角A BD C --为120°，AC 33= ，则三棱锥A BCD -的外接球的表面积为________. 【来源】江西宜春市2021届高三上学期数学（理）期末试题类型三 立体几何与函数的结合典例3. 已知正方体1111ABCD A B C D -的棱长为1，E 为线段11A D 上的点，过点E 作垂直于1B D 的平面截正方体，其截面图形为M ，下列命题中正确的是______． ①M 在平面ABCD 上投影的面积取值范围是17,28⎡⎤⎢⎥⎣⎦；②M 的面积最大值为334； ③M 的周长为定值．【来源】江西省九江市2022届高三第一次高考模拟统一考试数学（理）试题【举一反三】如图，点C 在以AB 为直径的圆周上运动（C 点与A ，B 不重合)，P 是平面ABC 外一点，且PA ⊥平面ABC ，2PA AB ==，过C 点分别作直线AB ，PB 的垂线，垂足分别为M ，N ，则三棱锥B CMN -体积的最大值为______．【来源】百校联盟2020-2021学年高三教育教学质量监测考试12月全国卷（新高考）数学试题类型四 立体几何中的轨迹问题典例4. 已知P 为正方体1111ABCD A B C D -表面上的一动点，且满足2,2PA PB AB ==，则动点P 运动轨迹的周长为__________.【来源】福建省莆田市2022届高三第一次教学质量检测数学试题【举一反三】在棱长为2的正方体1111ABCD A B C D -中，棱1BB ，11B C 的中点分别为E ，F ，点P 在平面11BCC B 内，作PQ ⊥平面1ACD ，垂足为Q ．当点P 在1EFB △内（包含边界）运动时，点Q 的轨迹所组成的图形的面积等于_____________．【来源】浙江省杭州市2020-2021学年高三上学期期末教学质量检测数学试题【精选名校模拟】1．已知在圆柱12O O 内有一个球O ，该球与圆柱的上､下底面及母线均相切.过直线12O O 的平面截圆柱得到四边形ABCD ，其面积为8.若P 为圆柱底面圆弧CD 的中点，则平面PAB 与球O 的交线长为___________. 【来源】江苏省南通市2020-2021高三下学期一模试卷2．已知二面角PAB C 的大小为120°，且90PAB ABC ∠=∠=︒，AB AP =，6AB BC +=.若点P 、A 、B 、C 都在同一个球面上，则该球的表面积的最小值为______.【来源】山东省枣庄市滕州市2020-2021学年高三上学期期中数学试题3．四面体A BCD -中，AB BC ⊥，CD BC ⊥，2BC =，且异面直线AB 和CD 所成的角为60︒，若四面体ABCD 的外接球半径为5，则四面体A BCD -的体积的最大值为_________. 【来源】浙江省宁波市镇海中学2020-2021学年高三上学期11月期中数学试题4．我国古代《九章算术》中将上，下两面为平行矩形的六面体称为刍童，如图的刍童ABCD EFGH -有外接球，且43,4,26,62AB AD EH EF ====，点E 到平面ABCD 距离为4，则该刍童外接球的表面积为__________.【来源】江苏省苏州市张家港市2020-2021学年高三上学期12月阶段性调研测试数学试题5．已知正三棱柱111ABC A B C -的外接球表面积为40π，则正三棱柱111ABC A B C -的所有棱长之和的最大值为______．【来源】河南省中原名校2020-2021学年高三第一学期数学理科质量考评二6．已知体积为72的长方体1111ABCD A B C D -的底面ABCD 为正方形，且13BC BB =，点M 是线段BC 的中点，点N 在矩形11DCC D 内运动（含边界），且满足AND CNM ∠=∠，则点N 的轨迹的长度为______. 【来源】百校联盟2021届普通高中教育教学质量监测考试（全国卷11月）文科数学试卷7．矩形ABCD 中，3,1AB BC ==，现将ACD △沿对角线AC 向上翻折，得到四面体D ABC -，则该四面体外接球的表面积为______；若翻折过程中BD 的长度在710,22⎡⎤⎢⎥⎣⎦范围内变化，则点D 的运动轨迹的长度是______．【来源】江苏省无锡市江阴市青阳中学2020-2021学年高三上学期1月阶段检测数学试题8．如图，在四面体ABCD 中，AB ⊥BC ，CD ⊥BC ，BC =2，AB =CD =23，且异面直线AB 与CD 所成的角为60，则四面体ABCD 的外接球的表面积为_________.【来源】山东省新高考2020-2021学年高三上学期联考数学试题9．已知三棱锥P ABC -外接球的表面积为100π，PB ⊥平面ABC ，8PB =，120BAC ∠=︒，则三棱锥体积的最大值为________.【来源】江苏省徐州市三校联考2020-2021学年高三上学期期末数学试题10．已知直三棱柱111ABC A B C -的底面为直角三角形，且内接于球O ，若此三棱柱111ABC A B C -的高为2，体积是1，则球O 的半径的最小值为___________.【来源】广西普通高中2021届高三高考精准备考原创模拟卷（一）数学（理）试题11．如图，已知长方体1111ABCD A B C D -的底面ABCD 为正方形，P 为棱11A D 的中点，且6PA AB ==，则四棱锥P ABCD -的外接球的体积为______.【来源】2021年届国著名重点中学新高考冲刺数学试题（7）12．如图所示，在三棱锥B ACD -中，3ABC ABD DBC π∠=∠=∠=，3AB =，2BC BD ==，则三棱锥B ACD -的外接球的表面积为______.【来源】江西省南昌市八一中学、洪都中学、十七中三校2021届高三上学期期末联考数学（理）试题13．在三棱锥P ABC -中，平面PAB 垂直平面ABC ，23PA PB AB AC ====120BAC ∠=︒，则三棱锥P ABC -外接球的表面积为_________.【来源】福建省福州市八县（市）一中2021届高三上学期期中联考数学试题14．已知A ，B ，C ，D 205的球体表面上四点，若4AB =，2AC =，23BC =且三棱维A BCD -的体积为23CD 长度的最大值为________．【来源】福建省四地市2022届高三第一次质量检测数学试题15．如图，在四棱锥P ABCD -中，PA ⊥平面ABCD ，底面ABCD 是直角梯形，//AB CD ，AB ⊥AD ，22CD AD AB ===，3PA =，若动点Q 在PAD △内及边上运动，使得CQD BQA ∠=∠，则三棱锥Q ABC -的体积最大值为______.【来源】八省市2021届高三新高考统一适应性考试江苏省无锡市天一中学考前热身模拟数学试题16．已知正三棱锥A BCD -的底面是边长为23其内切球的表面积为π，且和各侧面分别相切于点F 、M 、N 三点，则FMN 的周长为______．【来源】湖南省常德市2021-2022学年高三上学期期末数学试题17．在三棱锥P ABC -中，PA ⊥平面ABC ，AC CB ⊥，4===PA AC BC ．以A 为球心，表面积为36π的球面与侧面PBC 的交线长为______．【来源】山东省威海市2021-2022学年高三上学期期末数学试题18．在棱长为1的正方体1111ABCD A B C D -中，过点A 的平面α分别与棱1BB ，1CC ，1DD 交于点E ，F ，G ，记四边形AEFG 在平面11BCC B 上的正投影的面积为1S ，四边形AEFG 在平面11ABB A 上的正投影的面积为2S .给出下面四个结论：①四边形AEFG 是平行四边形； ②12S S +的最大值为2； ③12S S 的最大值为14；④四边形AEFG 6则其中所有正确结论的序号是___________.【来源】北京西城区2022届高三上学期期末数学试题196，在该圆柱内放置一个棱长为a 的正四面体，并且正四面体在该圆柱内可以任意转动，则a 的最大值为__________．【来源】河南省郑州市2021-2022学年高三上学期高中毕业班第一次质量预测数学（文）试题20．在三棱锥P －ABC 中，P A ＝PB ＝PC ＝2，二面角A －PB －C 为直二面角，∠APB ＝2∠BPC (∠BPC <4π)，M ，N 分别为侧棱P A ，PC 上的动点，设直线MN 与平面P AB 所成的角为α.当tan α的最大值为2532时，则三棱锥P －ABC 的体积为__________.【来源】湖南省长沙市长郡中学2020-2021学年高三上学期入学摸底考试数学试题21．体积为8的四棱锥P ABCD -的底面是边长为22底面ABCD 的中心为1O ，四棱锥P ABCD -的外接球球心O 到底面ABCD 的距离为1，则点P 的轨迹长度为_______________________．22．如图，在ABC 中，2BC AC =，120ACB ∠=︒，CD 是ACB ∠的角平分线，沿CD 将ACD △折起到A CD'△的位置，使得平面A CD '⊥平面BCD ．若63A B '=，则三棱锥A BCD '-外接球的表面积是________．【来源】河南省2021-2022学年高三下学期开学考试数学理科试题23．在三棱锥P ABC -中，4AB BC ==，8PC =，异面直线P A ，BC 所成角为π3，AB PA ⊥，AB BC ⊥，则该三棱锥外接球的表面积为______．【来源】辽宁省营口市2021-2022学年高三上学期期末数学试题24．在棱长为2的正方体1111ABCD A B C D -中，E 是CD 的中点，F 是1CC 上的动点，则三棱锥A DEF -外接球表面积的最小值为_______.【来源】安徽省淮北市2020-2021学年高三上学期第一次模拟考试理科数学试题25．如图，在正方体1111ABCD A B C D -中，点M ，N 分别为棱11,B C CD 上的动点(包含端点)，则下列说法正确的是___________．①当M 为棱11B C 的中点时，则在棱CD 上存在点N 使得MN AC ⊥；②当M ，N 分别为棱11,B C CD 的中点时，则在正方体中存在棱与平面1A MN 平行；③当M ，N 分别为棱11,B C CD 的中点时，则过1A ，M ，N 三点作正方体的截面，所得截面为五边形； ④直线MN 与平面ABCD 2；⑤若正方体的棱长为2，点1D 到平面1A MN 2．【来源】四川省成都市第七中学2021-2022学年高三上学期1月阶段性考试理科数学试题11。
吉林省长春市东北师范大学附中2021届高三英语上学期第一次摸底考试试题(含解析).doc
吉林省长春市东北师范大学附中2021届高三英语上学期第一次摸底考试试题（含解析）一、听力选择题1. 听下面 1 段对话。
从题中所给的 A、B、C 三个选项中选出最佳选项。
How is the weather in the mountains?A. Rainy.B. Sunny.C. Snowy.2. 听下面 1 段对话。
从题中所给的 A、B、C 三个选项中选出最佳选项。
What are the speakers mainly talking about?A. Cooking.B. Traditions.C. Experiments.3. 听下面 1 段对话。
从题中所给的 A、B、C 三个选项中选出最佳选项。
Why does the man read in weak light?A. He is afraid of light.B. His brother is sleeping.C. He doesn’t care about his eyes.4. 听下面 1 段对话。
从题中所给的 A、B、C 三个选项中选出最佳选项。
How much money did the man lend the woman?A. $70.B. $80.C. $100.5. 听下面 1 段对话。
从题中所给的 A、B、C 三个选项中选出最佳选项。
What is the man’s opinion about sleep?A. Four hours is plenty for him.B. Eight hours is too much for the woman.C. Six hours is the least for most people.听下面 1 段材料, 回答下列题。
6.Where does the conversation take place?A. In the kitchen.B. In the bedroom.C. In the study.7.When does the man plan to go to sleep?A. At 11 p.m.B. At 3 a.m.C. At 4 a.m.听下面 1 段材料, 回答下列题。
河北省石家庄市2021届高三上学期质量检测(一)英语试题 含答案
河北省石家庄市2021届高中毕业班教学质量检测（一）英语注意事项：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。
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，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来同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. How does the girl usually go to school?A. By bike.B. By car.C. On foot.2. What will the woman send to her aunt?A. A letter.B. A postcard.C. An e-mail.3. Where did the girl work during the holidays?A. In a school.B. In a clothes shop.C. In a hairdresser's.4. What are the speakers mainly talking about?A. Their homework.B. History classes.C. Some reports..5. What did the man do when the rain started?A. He was watching the lightning.B. He went home immediately.C. He returned to the sports center.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。
河南省郑州市2023届高三下学期第二次质量预测试题 英语 Word版含答案
郑州市2023 年高中毕业年级第二次质量预测英语试题卷本试卷分四部分，考试时间120 分钟，满分150 分（听力成绩算作参考分）。
考生应首先阅读答题卡上的文字信息，然后在答题卡上作答，在试题卷上作答无效。
第二部分阅读理解（共两节，满分40 分）第一节（共15 小题；每小题2 分，满分30 分）阅读下列短文，从每题所给的A、B、C 和D 四个选项中，选出最佳选项，并在答题卡上将该项涂黑。
AHigh school programs at the National Gallery of Art value depth over breadth, exploring original works of art through a single specific question or theme.Studio WorkshopsSingle museum visit, 2.5 hoursGrades 9-12These half-day art workshops include an in-depth examination and discussion of works of art in the galleries, followed by behind-the-scenes access to the Education Studio, where students create a related art project.National Gallery of Art educators will encourage students to look carefully at works of art and then share their responses and come up with theories based on their observations.Students will have the chance to create a work of art in the studio inspired by what they have seen in the galleries.Museum MakersExploring Art and MuseumsGrades 11-12The Museum Makers program explains how museums operate and what they have to offer. It gives upper-level high school students the tools to experience, understandand interpret art. Participants will gain an insider's view of how an art museum works.Students meet for seven Saturday sessions from 10:00 a.m. to 3:00 p.m. Completion of the program requires attendance of all seven sessions.Creative WritingGrades 7-12, 90 minutesStudents will provide a voice for their personal responses to art through creative writing while they are looking at a selection of artworks in the galleries. Using close observation, group discussion and personal reflection, they will be guided through exercises that use different writing forms, including free-form poetry.A maximum of 30 students ( minimum of 15) will be accepted at each session.21.What can students do at Studio Workshops?A.Get basic training as an artist.B.Put forward their own art theories.C.Discuss with artists about their works.D.Learn about artists, inspiration for their works.22.What can students get from Museum Makers?A.Methods of how artworks are created.B.Experience in running an art museum.C.Knowledge about how an art museum works.D.Academic credits for completing the program.23.Which group can attend Creative Writing at a session?A.15 college students.B. 10 Grade 9 students.C. 25 Grade 10 students.D. 40 high school students.BI never imagined that someone telling me I looked skinny would anger me. And yet, I was made very angry when a colleague pinched （捏）my waist and screamed, “Rosa, you've lost weight. You look great In The truth is that I was tired and not taking care of myself. I decided to start a proper weight-loss program.The first to go would be road rage （路怒）.I am in far less control of this weight than any other. Every time something gets in my path, I fly off the handle. I need to lose the road rage, and fast! No, no more speed. Instead, I now repeat the words："I am not in a hurry. " This year, I will drive safely, allowing "stupid" to happen all aroundme. From that, I hope to gain patience.Next is guilt. When guilt drives my conscience to do better, it's functional. But when it presents itself as an internal dialogue that goes nowhere, it's useless. This year, I want to stop feeling guilty for not keeping a cleaner house, for spending time away from my children to be with friends, for not attending every party because I’d rather be at home, or for watching TV when I should be reading. My image and performance are not at the front of anyone else’s mind but my own. From this, I hope to gain freedom to be myself.The last is fear. Fear has held me back. Fear of failure has prevented me from being a writer. Fear of embarrassment has prevented me from giving an opinion. Fear of rejection has stopped me from aiming higher in my life. Fear of regret has led me into situations that made me uncomfortable. If I can lose any one of these fears, I stand to gain experience.So, if I can lose the rage, shake off some guilt, and take fear off my plate, I stand to gain patience, freedom, and experience. Pound for pound I have not lost a thing but I will be much lighter. Next time, I hope my colleague looks me in the eye to see my glow instead of pinching part of me that has nothing to do with how great I really look.24.What does the underlined part “fly off the handle” in paragraph 2 probably mean?A.Pick up speed.B. Drive off.C. Feel quite nervous.D. Become very angry.25.What has made the author feel guilty before?A.Attending too many parties.B.Reading much with her children.C.Wasting her time in watching TV.D.Spending little time with her friends.26.How has fear affected the author?A.It has prevented her achieving her goals.B.It has stopped her furthering her education.C.It has made it difficult for her to make friends.D.It has caused her to quit her dream of being a teacher.27.What does the author expect to gain from her weight-loss program?A.Respect.B. Independence.C. Optimism.D. Tolerance.CSix months before she died, my grandmother moved into an old people's home and I visited her there. The room was clean and warm, and the care assistants were kind and cheerful. A general knowledge quiz show was on the television, and the only other sound was snoring （打呼噜）.People moved only when they needed to be helped to the bathroom. It was disappointing. Grandmother talked a lot about how much she missed seeing her grandchildren, but I knew from my sister that they hated going to visit her there.So I was interested to read a newspaper article about a new concept in old people's homes in France. The idea is simple, but revolutionary - combining a residential home for the elderly with a nursery school in the same building. The children and the residents eat lunch together and share activities. In the afternoons, the residents enjoy reading or telling stories to the children, and if a child is feeling sad or tired, there is always a kind lap to sit on.The advantages are huge for everyone concerned. The children are happy, because they get a lot more individual attention. The residents are happy because they feel useful and needed. And the staff are happy because they see an improvement in the physical and psychological health of the residents and have an army of assistants to help with the children.Nowadays there is less and less contact between the old and the young in an increasing number of countries. There are many reasons for this, including the breakdown of the extended family, working parents with no time to care for ageing relations, families that have moved away, and smaller flats with no room for grandparents. But the result is the same - increasing numbers of children without grandparents and old people who have no contact with children, and more old people who are lonely and feel useless, along with more and more families with young children who desperately need more support. Ifs a major problem in many societies.That's why intergenerational programs, designed to bring the old and the young together, are growing in popularity all over the world.28.What does the underlined word "residents" in paragraph 2 probably refer to?A.Old people.B. School teachers.C. Assistants.D. Staff.29.How were the old people at the home the author's grandmother was in?A.They felt lonely and useless.B.They weren't allowed to be visited.C.They weren't looked after properly.D.They lived in a dirty and uncomfortable room.30.What does the author think is a major problem in many societies today?A.The extended family is broken down.B.There isn't much room for grandparents.C.Working parents have no time to care for their children.D.There isn't much contact between the old and the young.31.What will be probably talked about later in the passage?A.Advice on how to communicate with children.B.Plans for setting up more homes for old people,C.Examples of successful intergenerational programs.D.Ways of teaching entertainment skills to old people.DMicroplastic pollution is increasing greatly around the globe, according to a study of plastic particles （微粒）carried in the air.People are already known to breathe, drink and eat microplastics, and research suggests that pollution levels will continue to rise rapidly. The researchers said that breathing in these particles can be harmful to lung tissue and lead to serious diseases.Professor Natalie Mahowald, at Cornell University in the US and part of the research team, said, " But maybe we could solve this before it becomes a huge problem, if we manage our plastics better, before they accumulate in the environment and move around everywhere."The research, published in the journal Proceedings of the National Acadenry of Sciences, examined airborne （空气传播的）microplastics, which have been far less studied than plastics in oceans and rivers.The team gathered more than 300 samples of airborne microplastics from 11 s ites across the western US. These were the basis for atmospheric modeling that estimated the contribution from different sources （来源）,and it was the first such study to do so.They found that roads were the main factor （因素）in the western US, linked to about 85% of the microplastics in the air. These are likely to include particles from tiresand brake pads on vehicles, and plastics from litter that had been broken down.The researchers extended their modeling work to a global level and this suggested that while roads are also likely to be the major driver of airborne plastics in Europe, South America and Australia, plastic particles blown up from fields may be a much bigger factor in Africa and Asia.Professor Andreas Stohl of the University of Vienna's Faculty of Earth Sciences said, “The study confirms the global-scale （全球规模的）nature of microplastic transport in the atmosphere and does a good job in highlighting highly relevant and concerning possibilities, but more measurement data is needed to get a better idea of the sources.”32.What can be known about microplastic pollution from this text?A.The particles can do great harm to our lungs.B.Airborne microplastics have been widely studied.C.It has become the most pressing environmental problem.D.There is less plastic in the air than in oceans and rivers.33.What did the researchers find out about microplastic pollution?A.Its results differ across many continents.B.Africa and Asia are suffering most from it.C.Roads and fields are largely to blame for it.D.It spreads fast from one continent to another.34.What should the researchers do next according to Professor Andreas Stohl?A.To predict the potential damage of microplastics.B.To understand the nature of microplastic pollution.C.To improve the method of collecting samples of microplastics.D.To collect more data to understand the sources of microplastics.35.What can be the best title for this text?A.Effects of microplastics on human healthB.Microplastic pollution on the global scaleC.Possible solutions to microplastic pollutionD.Microplastic pollution rising quickly in the air第二节（共5 小题；每小题2 分，满分10 分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项,并在答题卡上将该项涂黑。