2017届河北省唐山市高三第二次模拟考试(二模)试卷 英语
好教育云平台 二模测试卷 第1页（共16页） 好教育云平台 二模测试卷 第2页（共16页） 2017届河北唐山市高三年级第二次模拟测试卷 英 语
注意事项： 1. 答题前，务必在试题卷、答题卡规定的地方填写自己的姓名、座位号。 2. 答第Ⅰ卷时，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。 3. 答第Ⅱ卷时，请在答题卷上．．．．书写，要求认真审题、仔细作答、字体工整、笔迹清晰。
第Ⅰ卷 第一部分 听力 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。 例：How much is the shirt? A. £19.15. B. £9.18. C £9.15. 答案是B。 1. What are the speakers talking about? A. A friend’s invitation. B. A weekend plan. C. A family party. 2. What time will the man probably go to see the doctor? A. At 9:00 am. B. At 11:00 am. C. At 1:00 pm. 3. How is the weather now? A. Fine. B. Rainy. C. Cold. 4. What does the woman think of the vegetable prices here? A. Expensive. B. Cheap. C. Fair. C. His fax machine. 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。 5. What is the man having trouble with? A. His printer. B. His computer. C. His fax machine. 6. Where will the man go? A. The railway station. B. The post office. C. The Pine Street. 7. How will the man probably go there? A. By bus. B. By taxi. C. On foot. 听第7段材料，回答第8至9题。 8. What is the probable relationship between the speakers? A. Mother and son. B. Husband and wife. C. Fellow workers. 9. Why does the man apologize? A. He can’t go home for dinner. B. He has to work on the weekend. C. He doesn’t mean what he said. 听第8段材料，回答第10至12题。 10. What happened to the man? A. He was badly burnt. B. He was trapped in a house. C. He took in much smoke. 11. Who was saved by the man? A. A little boy. B. A little girl. C. An old lady. 12. Where is the man now? A. At home. B. In his office. C. In a hospital. 听第9段材料，回答第13至16题。 13. Which month is it now? A. April. B. June. C. August. 14. Where has Aron been many times? 好教育云平台 二模测试卷 第3页（共16页） 好教育云平台 二模测试卷 第4页（共16页）
A. The science museum. B. The Forest Preserve. C. The Pine Street. 15. What will Aron probably do? A. Take the mid-term examination. B. Have a talk with his parents. C. Go to the zoo with his mother. 16. Who is Alice? A. Aron’s mother. B. Aron’s classmate. C. Aron’s sister. 听第10段独白，回答第17至20题。 17. What is the speaker mainly talking about? A. The exact date of the Festival. B. The celebrations of the Festival. C. The traditional food of the Festival. 18. Why did people beat the drums? A. To prevent diseases. B. To cheer the fishermen. C. To drive the fish off. 19. Which is the most exciting part of the festival? A. Drinking Xiong Huang Wine. B. Enjoying the Dragon Boat Races. C. Throwing Zong zi into the water. 20. Who is considered to be lucky for the rest of the year? A. The one who balances a raw egg. B. The one who wears fragrant bags. C. The one who seizes the flag. 第二部分 阅读理解（共两节，满分40分） 第一节 （共15小题；每小题2分，满分30分） 阅读下列短文，从每题所给的四个选项（A、B、C、和D）中，选出最佳选项，并在答题卡上将该项涂黑。 A Are you looking for ideas for what to do in London for weekends? Check out our pick of the best musicals. Mamma Mia! Novello Theatre, London Writer Catherine Johnson’s sunny, funny tale unfolds on a Greek island paradise On the eve of her wedding, a daughter, request to discover the identity of her father brings 3 men from her mother’s past back to the island. Call us at + 44 (0) 8701403300 for show tickets or visit http://www.mammamiatheatretickets.com/ The price ranges from £ 19.50 to £ 28.80. Wicked Apollo Victoria, London WICKED is an award-winning musical that tells the amazing untold story of the Witches of Oz Rachel Tucker’s remarkable performance has won her both a WhatsOnStage Award and a Broadway.com Audience Choice Award. Call us at + 44 (0) 8473688420 for show tickets or visit http://www.wickedthemusical.co.uk/ The price ranges from £ 21.00 to £ 29.60. The Girls Phoenix Theatre, London THE GIRLS is a true story in Yorkshire — a group of ordinary ladies achieved something extraordinary. This new musical comedy has brought together the writing talents of Gary Barlow and Tim Firth who grew up in the same village in the North of England and have been friends for 25 years. Order the tickets online: http://www.phoenixtheatrelondon.co.uk/ The price ranges from £17.50 to £26.30. The Lion King Lyceum Theatre, London Brilliantly re-imagined by distinguished director Julie Taymor, Disney’s beloved film has been transformed into an impressive stage production that explodes with glorious colours and amazing music. At its heart is the powerful and moving story of Simba - the adventure of his journey to his destined role as King of the Pridelands. Order the tickets online: http://wwwJyceumtheatrelondon.com/ The price ranges from £19.00 to £ 28.20.
2020年河北唐山市第二中学高三英语二模试题及答案解析
2020年河北唐山市第二中学高三英语二模试题及答案解析第一部分阅读（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、D四个选项中选出最佳选项ATop Music Festivals in 2021CoachellaSelling out fast every year, the Indio desert becomes a fashionable place where the coolest bands are watched by trendy people and celebrities. Near the top of everyone's bucket list of festivals, Coachella is a constant source of annual expectation and a hotbed for musical discussion.When &. where: April 9-11 &. 16-18, 2021; IndioUltra Music FestivalSeen as the ultimate gathering for electronic music fans across the nation and globe, the streets of Miami turn into a and bumping party with popular DJs playing what will be the sounds of summer.When & where: March 26-28, 2021; MiamiSouth By South WestRegarded as the ultimate trend-setter and launcher of careers, SXSW is an annual showcase of music, films and interactive highlights enjoyed through performances, showcases, talks, screenings and more. Virtually taking over the city of Austin, everyone in the world of music from fans to media flock here to discover the next big thing.When &, where: March 16-20, 2021; AustinThe Governors Ball Music FestivalAnother event which proves the music loving potential of Randall's Island Park is Governors Ball, an exciting and infectious mix of rock, hip-hop, electronic, pop and folk. Providing a variety of music and food tastes, whether you look to kick back and relax or dance to the beats, Governors Ball has what you want.When & where: June 11-14, 2021; New York1.Which music festival lasts the most days?A.CoachellaB.Ultra Music Festival.C.South By South WestD.The Governors Ball Music Festival.2.What is special about Ultra Music Festival?A.It's held in a park.B.It features electronic musicC.It's a gathering of popular DJs.D.It's the most popular in the country.3.Which city could you go if you love both music and movies?A.Indio.B.Miami.C.AustinD.New York.BMy first week working in a restaurant, one of the servers said something that stuck with me: Everyone should work in a restaurant for at least a year. At the time, I didn't get it, but I took the advice to heart and worked in restaurants on and off for the next eight years. Before realizing it, I mastered many important skills, one of which is communication skill.When I was little, I was so shy that I used to hide behind my mom whenever someone spoke to me. And when I first started in restaurants, I had two personalities: Restaurant Lizzy and Home Lizzy. It was easier to pretend to be a different person while at work, since it was so different from who I actually was. But gradually, the skills I learned working in restaurants helped Home Lizzy come out of her shell in the real world.When you work in a restaurant, you don't have the luxury of hiding behind your parents to avoid talking to people. I'm still 110% an introvert, but restaurant work helped me communicate. Working in a restaurant not only helped me speak clearly, deliberately and directly but also taught me how to talk about almost everything. Some guests don't want their servers to interact too much with them, and that's fine. But some sit at the bar simply to chat with you. You learn how to judge your guests' level of interest in communicating with you, and how to exit a conversation at the appropriate time.My restaurant work is something that I'm most proud of and I know I wouldn't be the person I am today without those eight years of experience. If you're still on the fence about working in a restaurant for that long, start with one year. I doubt that you'll look back.4. What did the writer think of the server's words?A. Impressive.B. Ridiculous.C. Amusing.D. Logical.5. What do we infer from Paragraph 2?A. The writer tried different jobs.B. The writer became more sociable.C. The writer used an invented name.D. The writer had a hard time at work.6. Which of the following best describes the writer's restaurant work?A. Boring.B. Relaxing.C. Worthwhile.D. Unchallenging.7. What message does the writer try to convey in this passage?A. A strong-willed soul can reach his goal.B. Things are difficult before they are easy.C. Communication skills advance your career.D. Restaurantwork helps to achieve a better self.CMy sister Alice and I have been trying to get people tostop dropping cigarette（香烟）butts（烟头）for seven years. One day, we were walking in our hometown and saw hundreds of cigarette butts on the ground. They made the town look so ugly that we decided to start a group to make people dropping butts. We called it “No Butts About It”.At first, we drew pictures with “The Earth is not your ashtray（烟灰缸）”written on them. We put the pictures around our hometown—in parks, by beaches, and along roads. We wanted to make people understand that dropping butts hurts the environment. Most smokers don’t think that dropping butts hurts the Earth. But it does, and all rubbish does!Later, we wrote to companies and asked them for money to help us. We used the money to buy ashtrays to give to smokers. We wanted smokers to carry the ashtrays with them so they didn’t have to drop butts.At the moment, we are trying to get cigarette companies to put an ashtray in each pack of cigarettes. Some companies want to do it. Many people have started to join our group since it began. Today there are 45 other “No Butts About It” groups inAmerica.Now there even groups inEngland,Australia, andIndia! Many newspapers have written about my sister and me over the last seven years. And we have won many prizes for what we do. But we are not interested in prizes. We just want to make the Earth a better and cleaner place for animals, plants and people.One day, it will be.8. What did the writer think about the cigarette butts in the first place?A. They made the town smelly.B. They made the town unhealthy.C. They made the town dirty.D. They made the town poor.9. What does the writer do with the cigarette butts?A. Give ashtrays to the smokers.B. Stop people buying cigarettes.C. Pick up the cigarette butts.D. Win prizes for starting groups.10. From the passage we can know that _____.A. no companies wanted to give money to themB. The writer believes that the Earth will be a better and cleaner placeC. There are only 45”No Butts About It”D. The writer likes to be on newspapers and win prizes211. Which is the best tittle for the passage?A. Save our Town From Cigarette Butts.B. Buy Yourself An Ashtray.C. Cigarette Butts Also Destroy Other Countries.D. No Butts Prize.DSleep problems in early childhood may be linked to the development of certain mental health disorders in adolescence, according to a new research.A study of 7,155 children in theUnited Kingdomfound that waking up frequently during the night and irregular sleep routines as babies and toddlers was linked to psychotic experiences in children aged 12 and 13. Also, children who slept for shorter periods at night were more likely to be associated with borderline personality disorder at ages 11 and 12.The research, published in the journalJAMA Psychiatry, was the first time possible links between early childhood sleep problems and adolescent psychotic experiences and borderline personality disorder (BPD) symptoms have been examined.“We know from previous research that persistent nightmares in children have been associated with both psychosis and borderline personality disorder,” said lead author Isabel at theInstituteofMental Healthat theUniversityofBirmingham.“But nightmares don’t tell the whole story. We’ve found that, in fact, a number of behavioral sleep problems in childhood can point towards these problems in adolescence,” she said.Adolescence, typically defined as the ages between 10 and 19, is a key period in human development because of brain and hormonal changes, anditis now thought to be when many mental health problems start.Prior research inAustraliafound that babies with persistent severe sleep problems in their first year were at greater risk for anxiety and emotional issues in later childhood. Sleep problems in children and adolescents have been shown to predict the development of various emotional and behavioral problems, including depression, anxiety, attention-deficit hyperactivity disorder, risk-taking and aggression. However, findings have been inconsistent, especially when based on objective measurements of sleep, rather than parental reports.Sleep and mental health are closely connected in adults, with sleep problems increasing the risk fordeveloping particular mental illnesses as well as resulting in mental health issues.12. What can we know from paragraph 3?A. Childhood sleep problems probably cause youth mental health problems.B. Severe sleep problems in childhood lead to emotional issues.C. Persistent nightmares in children are closely related to psychosis.D. The research has not been known to the public.13. What does “it” refer to in paragraph 6?A. Adolescence.B. Key period.C. Human developmentD. Hormonal change.14. According to the Australian research, older children who had long-term serious sleep issues at one year old are more likely to ________.A. grow slowlyB. develop attention-deficit hyperactivity disorderC. do badly in lessonsD. suffer from anxiety15. Which of the following can be the best title for the text?A. A Study About Childhood Sleep Problems Is Under ProgressB. Pay Attention to Children Who Lack SleepC. Childhood Sleep Issues Linked to Adolescent Mental Health ProblemsD. How to Help Children Develop a Good Sleep Habit第二节（共5小题；每小题2分，满分10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。
河北省唐山市2021届高三下学期4月学业水平选择性考试第二次模拟演练(二模)英语答案
唐山市2021年普通高等学校招生统一考试第二次模拟演练英语试题参考答案第一部分听力1. B2. A3. A4. C5. B6. A7. B8. C9. A 10. C11. B 12. A 13. C 14. C 15. B 16. A 17. A 18. C 19. B 20. B第二部分阅读理解21. C 22. D 23. A 24. B 25. A 26. C 27. D 28. B 29. A 30. B31. D 32. A 33. C 34. B 35. C 36. E 37. A 38. G 39. C 40. D第三部分语言知识运用第一节41. A 42. B 43. B 44. C 45. A 46. C 47. D 48. D 49. B 50. A51. B 52. C 53. C 54. D 55. A第二节56. sitting 57. that 58. to 59. better 60. written61. them 62. an 63. generally 64. response/responding 65. are第四部分写作第一节Possible VersionNoticeThe English Drama Club is putting on a performance in the school hall at 2:00 next Friday afternoon. The play is a heart-warming story–The Gift of the Magi. All those who are interested are welcome. While watching the play, you should put your masks on just on the safe side. Do not leave your seats in the middle of the performance unless it is an emergency. You are also expected to respect the hall by leaving it in the same condition as when you arrived.The English Drama ClubApril 4th,2021第二节：读后续写评分原则1. 本题总分为25分，按5个档次给分。
2020-2021学年唐山市第二中学高三英语第二次联考试卷及答案解析
2020-2021学年唐山市第二中学高三英语第二次联考试卷及答案解析 第一部分 阅读（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、D四个选项中选出最佳选项 A
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Duolingo The app doesn't restrict how many languages you can try to learn at the same time. I use Duolingo to practice Spanish and German. In the app, you can access resources such as Duolingo Stories, which can allow you to check your comprehension skills as you go. I also subscribe to Premium for $10 per month which includes an ad-free experience and downloadable lessons. Memrise One of my favorite parts of Memrise is its short videos about how real locals express different phrases in conversation. A few lessons are available for free daily, but the full program is accessible if you subscribe to Memrise Pro. There are three plans—one month for $9, a year for $30 or three months for $19. Busuu When you sign up for Busuu, you select the language you want to learn, and the app helps you determine how advanced you are with it and why you want to learn it, and to what level. From there, you set a daily study goal. Premium costs about $6 per month for a year. Lirica If you listen to any song enough, you'll learn all the words through repetition, even if they're in a different language. But how do you figure out what they mean? This is where Lirica comes in. This app is unique in how it approaches teaching Spanish. Instead of traditional teaching methods for learning a language, Lirica uses popular music by Latin artists to help you learn the Spanish language and grammar. Lirica has a one-week free trial and then it's about $4 per month. 1. Which app is best for learning multiple languages at a time? A. Lirica. B. Busuu. C. Memrise. D. Duolingo. 2. How much should you pay for a quarterly subscription to Memrise Pro? A. $9. B. $19. C. $28. D. $30. 3. What is special about Lirica? A. It offers a one-month free trial. B. It helps users set a daily study goal. C. It hires Latin artists to teach Spanish. D. It enables users to learn Spanish through music. B "Sorry, but I don't agree with you..."This is usually followed by unbearable silence and angry tears. I've always
2017~2018唐山市高三第二次模拟考试数学(理)试卷及答案
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14．曲线 y＝x3 与直线 y＝x 所围成的封闭图形的面积为_____． 15．在四棱锥 S-ABCD 中，SD⊥底面 ABCD，底面 ABCD 是正方形，SD＝AD＝2．三棱 柱 MNP-M1N1P1 的顶点都位于四棱锥 S-ABCD 的棱上，已知 M，N，P 分别是棱 AB， AD，AS 的中点，则三棱柱 MNP-M1N1P1 的体积为_____． 16．数列{an}满足an+1＝3an－2n，若n∈N*时，an+1＞an，则a1的取值范围是_____． 三、解答题：共 70 分．解答应写出文字说明、证明过程或演算步骤．第 17~21 题为必 考题，每个试题考生都必须作答．第(22)、(23)题为选考题，考生根据要求作答． （一）必考题：共 60 分． 17． （12 分） AC＝2， 如图， 在平面四边形 ABCD 中， AB＝2 3， ∠ADC＝∠CAB＝90° ，设∠DAC＝θ． （1）若 θ＝60° ，求 BD 的长度； （2）若∠ADB＝30° ，求 tan θ．
试卷类型：
A
唐山市 2017—2018 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 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，再选涂其它答案标号。回答非选择题时，将答案写 在答题卡上，写在本试卷上无效。 3、考试结束后，将本试卷和答题卡一并交回。 一、选择题：本题共 12 小题，每小题 5 分，共 60 分．在每小题给出的四个选项中，只 有一项是符合题目要求的． 1．设全集 U＝R，A＝{x|x＋1＜0}，集合 B＝{x|log2x＜1}，则集合(CUA)∩B＝ A．[－1，2) B．(0，2) C．[－1，＋∞) D．[－1，1) 1＋i 2．若复数 z＝ （i 是虚数单位，a∈R）是纯虚数，则 z 的虚部为 a－i A．1 B．i C．2 D．2i 3．设 m∈R，则“m＝1”是“函数 f (x)＝m·2x＋2 x 为偶函数”的 A．充分而不必要条件 B．必要而不充分条件 C．充要条件 D．既不充分也不必要条件 4．若 x∈[0，]，则函数 f (x)＝cos x－sin x 的增区间为 A． 0， B． ， 4 4 3 3 C． 0， D． ， 4 4
东北育才学校2016-2017年高三二模英语试题及答案含听力
2016-2017 学年度上学期高中学段高三联合考试高三年级英语科试卷答题时间：120 分钟满分：150 命题人：黄玉娇校对人：姜巨慧第 I 卷第一部分听力(共两节，满分 20 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 秒钟的时向来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.When will the man most probably meet Dr. Jones?A.At 8:00.B. At 8:30.C. At 9:00.2.What was the original price of the skirt?A.24B.12C.6.3.What does the woman mean?A.She's learned a lot from the literature class.B.She's written some books on the world classics.C.She's met some of the world's best writers.4.How does the woman feel about driving to work?A.She is tired of driving in the heavy traffic.B.She doesn't mind as the road conditions are good.C.She is unhappy to drive such a long way every day.5.What will probably happen to the woman?A.Miss her train.B. Catch her train.C. Cancel her train.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。
河北省唐山2017年高三二模理科数学试题及答案
河北省唐山市2017届高三第二次模拟考试数学（理）试题第Ⅰ卷（共60分）一、选择题：本大题共12个小题,每小题5分,共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1.已知集合|3A x N x ，|,,Bx x a b aA b A ，则AB（）A ．1,2B ．2,1,1,2C ．1D ．0,1,22.设复数z 满足1132z i z，则||z （）A ．5B ．5C ．2D ．23.如图是八位同学400米测试成绩的茎叶图（单位：秒），则（）A ．平均数为64B ．众数为7C ．极差为17D ．中位数为64.54.“2560xx ”是“2x ”的（）A ．充分不必要条件B ．必要不充分条件C ．充要条件D ．既不充分也不必要条件5.一个几何体的三视图如图所示，该几何体的表面积为（）A．24B．243C．24D．2426.已知双曲线过点(2,3)，渐进线方程为3y x，则双曲线的标准方程是（）A．22711612x yB．22132y xC．2213yx D．22312323y x7.函数21xyx，(,]x m n的最小值为0，则m的取值范围是（）A．(1,2)B．(1,2)C．[1,2)D．[1,2) 8.执行如图所示的程序框图，若输入的5n，则输出的结果为（）A．4 B．5 C．6 D．79.已知，均为锐角，且sin 22sin 2，则（）A ．tan()3tan()B ．tan()2tan()C ．3tan()tan()D ．3tan()2tan()10.已知函数()cos(2)3sin(2)f x xx （||2）的图象向右平移12个单位后关于y 轴对称，则()f x 在区间,02上的最小值为（）A ．1B ．3C ．3D ．211.正方体1111ABCDA BC D 棱长为6，O 点在棱BC 上，且2BOOC ，过O 点的直线l与直线1AA ，11C D 分别交于M ，N 两点，则MN （）A ．313B ．95C ．14D ．2112.已知()f x 是定义在R 上的可导函数，且满足(2)()'()0x f x xf x ，则（）A ．()0f x B ．()0f x C ．()f x 为减函数D ．()f x 为增函数第Ⅱ卷（共90分）二、填空题（每题5分，满分20分，将答案填在答题纸上）13.7(2)()xy x y 展开式中，含35x y 项的系数是．14.平行四边形ABCD 中，M 为BC 的中点，若ABAMDB ，则．15.已知椭圆：22221(0)x y a bab的右焦点为(3,0)F ，上、下顶点分别为A ，B ，直线AF 交于另一点M ，若直线BM 交x 轴于点(12,0)N ，则的离心率是．16.在ABC 中，3A，3BC，D 是BC 的一个三等分点，则AD 的最大值是．三、解答题（本大题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤.）17.数列n a 的前n 项和为n S ，(21)nnn S a ，且11a ．（Ⅰ）求数列n a 的通项公式；（Ⅱ）若nn b na ，求数列n b 的前n 项和n T ．18.某仪器经过检验合格才能出厂，初检合格率为34：若初检不合格，则需要进行调试，经调试后再次对其进行检验；若仍不合格，作为废品处理，再检合格率为45.每台仪器各项费用如表：项目生产成本检验费/次调试费出厂价金额（元）10001002003000（Ⅰ）求每台仪器能出厂的概率；（Ⅱ）求生产一台仪器所获得的利润为1600元的概率（注：利润出厂价生产成本检验费调试费）；（Ⅲ）假设每台仪器是否合格相互独立，记X 为生产两台仪器所获得的利润，求X 的分布列和数学期望．19.在四棱锥PABCD 中，底面ABCD 为平行四边形，3AB，22AD ，45ABC ，P 点在底面ABCD 内的射影E 在线段AB 上，且2PE，2BEEA ，F为AD 的中点，M 在线段CD 上，且CMCD ．（Ⅰ）当23时，证明：平面PFM 平面PAB ；（Ⅱ）当平面PAM 与平面ABCD 所成的二面角的正弦值为255时，求四棱锥P ABCM的体积．20.已知ABC 的顶点(1,0)A ，点B 在x 轴上移动，||||AB AC ，且BC 的中点在y 轴上.（Ⅰ）求C 点的轨迹的方程；（Ⅱ）已知轨迹上的不同两点M ，N 与(1,2)P 的连线的斜率之和为2，求证：直线MN过定点．21.已知函数1()(ln 1)f x a x x的图象与x 轴相切，21()(1)log 2b xg x b x．（Ⅰ）求证：2(1)()x f x x；（Ⅱ）若1x b ，求证：2(1)0()2b g x 请考生在22、23两题中任选一题作答，如果多做，则按所做的第一题记分.22.选修4-4：坐标系与参数方程在直角坐标系xOy 中，直线1C 的参数方程为11232xt yt （t 为参数），以坐标原点为极点，x 轴的正半轴为极轴建立极坐标系，曲线2C 的极坐标方程为22(12sin)3．（Ⅰ）写出1C 的普通方程和2C 的直角坐标方程；（Ⅱ）直线1C 与曲线2C 相交于A ，B 两点，点(1,0)M ，求||||||MA MB ．23.选修4-5：不等式选讲已知函数()|1||1|f x x x ，P 为不等式()4f x 的解集.（Ⅰ）求P ；（Ⅱ）证明：当m ，nP 时，|4|2||mn m n .唐山市2016-2017学年度高三年级第二次模拟考试理科数学答案一、选择题1-5:DBDBA 6-10:CDBAC11、12：DA二、填空题13.49 14.2915.1216.31三、解答题17.解：（Ⅰ）由(21)nnn S a ，可得111(21)n n n S a （2n），两式相减，得111(21)(21)nn n nnn S S a a ，11(22)(21)nn n n a a ，即11(2)2n na na ，故n a 是一个以1为首项，12为公比的等比数列，所以11()2n n a ．（Ⅱ）11()2n nnb na n ．123n nT b b b b 012111111()2()3()()2222n n …，①12nT 12111111()2()(1)()()2222n nn n …，②①②，得1211111121()()()()2222222n nn nn T n …，所以1242n n n T ．18.解：（Ⅰ）记每台仪器不能出厂为事件A ，则341()(1)(1)4520P A ，所以每台仪器能出厂的概率119()12020P A ．（Ⅱ）生产一台仪器利润为1600的概率341(1)455P．（Ⅲ）X 可取3800，3500，3200，500，200，2800．339(3800)4416P X ，12133(3500)5410P X C，211(3200)()525P X ，123113(500)()44540P X C，121111(200)()54550P XC，2111(2800)()45400P X．X 的分布列为：X 3800350032005002002800P9163101253401501400931311()380035003200500200(2800)33501610254050400E X ．19.（Ⅰ）证明：连接EC ，作//AN EC 交CD 于点N ，则四边形AECN 为平行四边形，1CN AE，在B C E 中，2BE，22BC ，45ABC，由余弦定理得2EC ．所以222BE ECBC ，从而有BE EC .在AND 中，F ，M 分别是AD ，DN 的中点，则//FM AN ，//FM EC ，因为AB EC ，所以FMAB .由PE 平面ABCD ，FM平面ABCD ，得PE FM ，又FM AB ，PE AB E ，得FM平面PAB ，又FM平面PFM ，所以平面PFM平面PAB .（Ⅱ）以E 为坐标原点，EB ，EC ，EP 所在直线分别为x 轴，y 轴，z 轴建立如图所示的空间直角坐标系，则(1,0,0)A ，(0,0,2)P ，(0,2,0)C ，(3,2,0)D ，(1,0,2)AP ，(13,2,0)AM AC CD .平面ABCD 的一个法向量为(0,0,1)m.设平面PAM 的法向量为(,,)n x y z ，由0AP n ，0AM n ，得20,(13)20,x z x y令2x，得(2,31,1)n .由题意可得，|||cos ,|||||m n m n m n 21555(31)，解得13，所以四棱锥PABCM 的体积1833PABCMABCMV S PE梯形.20.解：（Ⅰ）设(,)C x y （0y ），因为B 在x 轴上且BC 中点在y 轴上，所以(,0)B x ，由||||AB AC ，得222(1)(1)x x y ，化简得24yx ，所以C 点的轨迹的方程为24yx （0y ）．（Ⅱ）设直线MN 的方程为xmyn ，11(,)M x y ，22(,)N x y ，由24,,y x xmyn 得2440ymy n ，所以124y y n ，1121112241214MPy y k yx y ，同理242NPk y ，所以1244222y y ，化简得124y y ，又因为124y y n ，所以1n ，所以直线MN 过定点(1,0). 21.解：（Ⅰ）21'()a f x xx，设()f x 的图象与x 轴相交于点0(,0)x ，则00()0,'()0,f x f x 即21(ln 1)0,10,a x x a x x 解得1ax ．所以1()ln 1f x x x，2(1)()x f x x 等价于ln 1x x ．设()ln 1h x xx ，则1'()1h x x ，当01x 时，'()0h x ，()h x 单调递增；当1x时，'()0h x ，()h x 单调递减，所以()(1)0h x h ，即ln 1x x ，（*），所以2(1)()x f x x．（Ⅱ）设1()(1)ln x h x xx ，则21ln 1'()ln x x h x x，由（Ⅰ）可知，当1x时，1ln 10xx ，从而有'()0h x ，所以()h x 单调递增，又1x b ，所以21xb ，从而有2()()h x h b ，即2211ln ln xb xb，所以21(1)ln (1)log 2ln b x b x b x b，即()0g x ，21()(1)log 2b xg x b x2(1)ln 1ln 2b x x b22ln 1(1)2ln 2x x b b 2211(1)2ln 2x x b b 211(1)2ln xb b，又1ln 1b b，所以1ln b b b，又21xb ，所以22(1)(1)(1)()22xb b g x ．综上可知，2(1)0()2b g x ．22.解：（Ⅰ）曲线1C 的普通方程为330xy ，曲线2C 的直角坐标方程为2213xy ．（Ⅱ）将直线1C 的参数方程代入2C 的直角坐标方程整理得：25240t t ，1225t t ，由t 的几何意义可知：122||||||||5MA MB t t .23.解：（Ⅰ）2,1,()|1||1|2,11,2, 1.x xf x x x x x x由()f x 的单调性及()4f x 得，2x 或2x．所以不等式()4f x 的解集为|22P x x x 或.（Ⅱ）由（Ⅰ）可知||2m ，||2n ，所以24m ，24n，2222(4)4()(4)(4)0mn m n mn，所以22(4)4()mn m n ，mn m n．从而有|4|2||。
2017年广东惠州高三二模英语试卷-学生用卷
2017年广东惠州高三二模英语试卷-学生用卷一、阅读理解1、【来源】 2017年广东惠州高三二模（A篇）第21~23题6分2019~2020学年广东深圳南山区深圳市南头中学高一上学期期中第1~3题6分(每题2分) Are you looking forward to watching some great films in this summer？Here are four films you won't miss.Wonder WomanWonder Woman is this summer's most exciting film. Though being a superhero film, it is the most unique: you will see the first female superhero starred by Gal Gadot. On general release from 1 June.The MummyTom Cruise awakens an ancient princess who has now become a mummy. Cruise jumps from the sky, runs around a lot and wakes up naked in a sleeping bag – but it's Sofia Boutella as the Mummy who draws the most attention. Director Alex Kurtzman speaks highly of Sofia Boutella as the Mummy: "If you look at her eyes, there's a whole performance going on here. Even not saying anything, she can convey something very emotional to me." On general release from 8 June.Baby DriverAnsel Elgort is a getaway driver, who is forced to work for a crime boss. This is a comedy-action-romance from British writer-director Edgar Wright. The sound in the film is as great as the visuals, which makes it much like a musical, but it is quite different from La La Land. Baby Driver isn't just a series of song pieces. Instead, it finds its form in the elegant, rapid-fire combination of movement and sound. Released 28 June in Canada and the US.A Man Called OveThis film has become one of Sweden's most popular comedies. In the film a lonely retiree who has given up on life, was trying to kill himself, but all his attempts failed. Meanwhile, he developed an unlikely friendship with his Persian neighbor. It is really a tearjerker（赚人热泪的）film, which is funny, tragic, and heartwarming as well. Released 25 May in Hong Kong, 30 June in the UK.(1) If you are a big fan of Batman and Superman, which film will you like best?A. Wonder WomanB. The MummyC. Baby DriverD. A Man Called Ove(2) Alex Kurtzman speaks highly of Sofia Boutella because.A. her eyes are very beautifulB. she doesn't say anything as the mummy in the filmC. she gives an excellent performanceD. she is a woman with strong emotions(3) Which of the following statements is right according to the text?A. Wonder woman is the first female superhero.B. Sofia Boutella performs as well as Tom Cruise.C. Baby Driver is a musical like La la Land.D. The audience of A Man Called Ove may experience different feelings.2、【来源】 2017年广东惠州高三二模（B篇）第24~27题8分When I was a boy there were no smart phones, and our television only got one channel clearly. Still, I was never bored. The fields, hills, and woodlands around my home were the perfect playground. I can remember once hiking to a nearby lake. At the backside of it I was amazed to find an old dirt road that I had never seen before. It was full of muddy tracks and deep woods bordered it on both sides, but exploring it still seemed like a fine adventure.I walked on and on for hours. I was sure my guardian angel was whispering in my ear "turn around and head back home" , but I was stubborn, so I walked on. There was still neither a car nor a house in sight.I noticed that the sun was starting to go down and I grew scared. I didn't want to end up trapped on this road, and I was worried that it would be dark before I could make my way back to the lake again.I continued to walk on with TAL#NBSP something growing inside of me. My heart was pounding and my legs were aching. I was almost in tears when I turned one last curve and saw something in the distance. It was a house that I recognized. I jumped up and down and laughed out loud. It was still over a mile away but my legs felt like feathers and I hurried back to my house in no time. I walked in with a big smile on my face just in time for dinner.I remembered this recently when I saw a sign that said: "All roads lead home." It is true. In this life,all roads, no matter how they twist and turn, can lead us home again. What is important, though, is how we travel them. Are we going to go forth in fear or are we going to go forth in faith? Are we going to make this life a terrible trip or are we going to make this life a joyful journey? The choice is ours.(1) Why did the author hardly feel bored when he was young?A. Because he could have fun in nature.B. Because he could watch TV all day.C. Because he had many friends.D. Because he used to explore the old dirt road.(2) How did the author feel when he was exploring the dirt road?A. He thought he would be scolded by his parents.B. He felt contradictory in mind.C. He thought he would be trapped in the woods.D. He was unconscious.(3) What does "something"probably mean in paragraph 3?A. DoubtB. HopeC. CourageD. Fear(4) What does the author ainly intend to tell us?A. Always make choices on our own.B. All roads lead home.C. It's our attitude that matters in our life.D. Every effort is worthwhile.3、【来源】 2017年广东惠州高三二模（C篇）第28~31题8分In many ways, Providence Mount St. Vincent in Seattle is a typical senior living community. It is home to about 400 elderly residents and provides them with different types of assistance. However, it is also the Inter-generational Learning Center—a preschool where children and seniors have the chance to bond.Established in 1991, the ILC's purpose is to allow kids to learn about acceptance while also being nurtured. It also aims to help seniors develop a greater sense of self-worth and strengthen social interactions. Babies to prekindergarten-aged children are placed into six different classes at the ILC. The kids attend art and music classes, as well as story time and exercise time with the seniors. Marie Hoover,ILC director, said that interacting with the seniors has proven beneficial for the young ones, making them more open-minded."For the ILC children, interacting with the residents is simply part of their day-to-day life here and the way aging is 'normalized' , which may be the most important benefit they receive , " Hoover said. " I've had parents call me years after their children have graduated from our program to let me know about some incidents when their child was the first to warmly greet someone who happened to be in a wheelchair."As for the seniors, they're delighted by the companionship the children provide. The children bring so much energy and joy to our residents. Many of residents are widows or widowers and can become lonely. Their adult children may still be working, so they may not get to see them as often as they would like. Having the children stay with the old makes our residents feel they are still part of a community. The young and the old connect and learn from one another at TAL#NBSP this unique facility.(1) ILC is intended to.A. build a typical senior living communityB. take good care of the childrenC. benefit both the children and the seniorsD. rid the seniors of loneliness(2) From what Hoover said in Para. 3, we can learn that the ILC children.A. keep in touch with the seniors even if they have left ILCB. come to realize that aging is a normal part of lifeC. take different attitudes to the elderly after graduationD. think it easy to interact with the elderly residents in ILC(3) From what Hoover said in Para. 3, we can learn that the ILC children.A. keep in touch with the seniors even if they have left ILCB. come to realize that aging is a normal part of lifeC. take different attitudes to the elderly after graduationD. think it easy to interact with the elderly residents in ILC(4) The underlined words this unique facility may refer to.A. a special buildingB. a typical familyC. a typical teaching programD. a special learning cente4、【来源】 2017年广东惠州高三二模第32~35题8分DAre you content with the shape of your nose? If not, the climate may be to blame, not your parents.This is according to a recent study carried out by scientists from Pennsylvania State University, US. They found that climate played a key role in shaping our noses. The findings were based on an examination of the size and shape of noses of 476 people from four regions---West Africa, East Asia, South Asia and Northern Europe, using 3-D facial imaging technology."People have thought for a long time the difference in nose shape among humans across the world may have arisen as a result of natural selection because of climate," Arslan Zaidi, one of the lead authors of the study, told The Guardian. But while previous studies were based on measurements from human skulls, Zaidi and his team looked at nose shape itself.The result showed that wider noses are more common in warm and humid climates, while narrower noses are more common in cold and dry climates. That, Zaidi said, could be because narrower nasal passages help to increase the moisture（潮湿）content of air and warm it，which is easier on our lungs. This, in turn, led to a gradual decrease in nose width in populations living far away from the equator.More study is still needed to test the link between climate and nose shape, but Zaidi believes the current findings are valuable in understanding potential health issue. "As we become more of a global community, we are going to come across climates that we are not adapt to," he told the Guardian. This means moving to a very different climate might increase the risk of breathing problems.However, he added, "This may not be necessarily true for various reasons such as of modern medicine and the fact that our current climate is very different from what it used to be."(1) From the passage we know most people from Singapore have noses.A. widerB. narrowerC. smallerD. larger(2) Narrower noses are helpful to.A. cool the airB. warm the airC. take in more oxygenD. dry the air(3) What can be learned about the study?A. Zaidi's team measured human skull using 3-D technology.B. Shapes of our noses are determined by our parents.C. Nose shape helps people adapt to the environment.D. It's certain that people will suffer from more breathing problems.(4) Which of the following can be the best title of the passage?A. What factors shape noses?B. How to make your nose attractive?C. Nose shapes cause breathing problemsD. Climate shapes noses二、七选五5、【来源】 2017年广东惠州高三二模第36~40题10分2017~2018学年四川成都青羊区成都石室中学（文庙校区）高二下学期期中第36~40题10分(每题2分)By 2025, water shortage will be a big problem for about 1.8 billion people. In a world where water resource is increasingly short, nations cannot afford to waste it.1After we use water in our homes and businesses, it is washed away, and takes many valuable resources with it.Waste water is rich in carbon and nutrients. 2 A number of nations and major cities have already built waste water treatment plants. They can effectively recover nutrients and bioenergy, and produce "new water" that can be reused. But more than 80% of all waste water still currently flows into natural ecosystems, polluting the environment and taking valuable nutrients and other recoverable materials with it.3 This is still better than the situation in smaller cities. In Latin American countries, those living in small and medium-sized cities at most treat in the form of septic tanks（化粪池） that lack regular and proper maintenance.Imagine that outside one of these small cities lies a lovely piece of land: on the surface it is pleasingly built and provides habitats for local wildlife. Beneath the surface is a wetland that treats waste water and produces energy. The energy produced saves families from having to use firewood collected in the wild. This is not a dream project. 4 A team of scientists have been looking into the potential of constructed wetland environments. Having analyzed 800 examples of biomass in more than 20 countries, they found that, depending on climate and the type of plant used in the construction of this type of wetland, up to 45 hectares of land could be irrigated using waste water. 5A. But that is exactly what we do.B. This can provide ready access to clean water.C. There is no longer any good reason to waste any type of water.D. A "constructed wetland environment" is already in practice on a small scale .E. This would reduce the need for fresh water for irrigation and energy for pumping.F. If collected and treated properly, it could provide new water, fertilizer, and energy.G. Although waste-water systems in large cities are effective , the whole procedure usually costs much.三、完形填空6、【来源】 2017年广东惠州高三二模第41~60题30分2017年广东惠州高三二模第41~60题30分As older students at your school, do you sometimes feel a kind of responsibility? I was lucky enough to be named one of our prefects （监督生）. My1 has so far meant that I've had to help with school meetings, events, and many 2 across the school.One of the events was a soccer tournament for 7th and 8th year prefects in September. We hadto 3 a soccer team made up of several prefects for the tournament.4 at the soccer field on the day of the tournament, we were fullof 5 that our 6 and age would be enough for us towin. 7, we had underestimated （低估） the situation. The younger students quickly started dominating us, and 8 beat us. Wewere 9 of the competition after the first game!Having been 10, we realized that our size and age reallydidn't 11, as the younger students were not intimidated （威吓）. However, although we were defeated, we were able to talk to the 12 students afterwards, which was quite 13.After our pitiful attempt at 14 soccer, we had to help referee （裁判） the final few 15. Refereeing was a difficult task, as abad 16 could cost a team the game. 17 for me, there were no extremely difficult decisions.After refereeing, we were all given dinner and the student leaders and the younger kidsall 18together. At that moment I 19 the true job of a prefect—we are here to 20 the school.A. jobB. cureC. enquiryD. opportunityA. activitiesB. teachersC. librariesD. professorsA. suspectB. formC. quarrelD. challengeA. AttendingB. AimingC. GuidingD. ArrivingA. curiosityB. possibilityC. pityD. confidenceA. maskB. strengthC. speedD. sizeA. BesidesB. ThereforeC. AlthoughD. HoweverA. previouslyB. hardlyC. eventuallyD. firstlyA. knocked outB. knocked atC. knocked onD. knocked offA. scoldedB. defeatedC. blamedD. praisedA. riseB. clarifyC. matterD. goA. seniorB. youngerC. clevererD. smarterA. anxiousB. pleasantC. upsetD. delightedA. playingB. givingC. offeringD. helpingA. soccerB. activityC. footballD. gamesA. movementB. signalC. decisionD. suspectA. SadlyB. CalmlyC. PrivatelyD. LuckilyA. satB. seatedC. jumpedD. leapedA. neglectedB. realizedC. toleratedD. dreamedA. adjustB. reformC. uniteD. change四、语法填空7、【来源】 2017年广东惠州高三二模第61~70题15分2018~2019学年广东深圳南山区深圳市南头中学高二下学期期中第51~60题10分(每题1分)A woman suddenly1（go） blind in one eye after playing a mobile phone game for a whole week in Guangdong province last month. The unnamed woman admittedto 2（regular） playing the game for seven or eight hours without moving and finally lost 3（she） right eyesight.The game, Arena of Valor, 4（know） as Honour of Kings, has become hugely popular in China and is due to be limited across the US andEurope. Being 5world's most popular online battle game, it already has over 200 million players in China.The battle game 6（put） together a team of five players who have to fight others in a fantasy land filled7 characters, and players can buy extra features while playing. The eye injury follows series of 8（incident）. In June, a child in Shenzhen stole 30, 000 yuan （£3, 450） from his parents to buy add-ons, and a 13-year-old in Hangzhou, severely injured his legs after jumping from a five-storey building to escape from hisfather 9 was trying to stop him playing.In a country in which 60 percent of the population has a smart-phone, the game has beenhighly 10（success）, partly because it is free to play.五、短文改错8、【来源】 2017年广东惠州高三二模第71~80题10分假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。
【英语】2020-2019学年度河北省唐山市高三第二次模拟考试
2020-2019学年度河北省唐山市高三第二次模拟考试英语试卷第一部分英语知识运用（共两节，满分30分）第一节语音知识（共5小题；每小题1分，满分5分）从A、B、C、D四个选项中，找出其划线部分与所给单词的划线部分读音相同的选项，并在答题卡上将该项涂黑。
例：have A．gave B．save C．hat D．made答案是C。
1．fever A．experiment B．frequent C．telephone D．excellent 2．pleasure A．usually B．university C．opposite D．musical 3．operate A．fortunate B．surface C．persuade D．necklace 4．town A．bowl B．crowd C．shown D．thrown 5．wealth A．southern B．smooth C．breathe D．worth第二节语法和词汇知识（共15小题；每小题1分，满分15分）从A、B、C、D四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。
例：We last night, but we went to the concert instead.A．must have studied B．might studyC．should have studied D．would study答案是C。
6．—Can I help you with the heavy box?—.A．Thank you for your help. B．You can, please.C．That’s very nice of you. D．With pleasure.7．Surely you can find it, for the museum is within easy of your hotel.A．reach B．walk C．space D．distance8．They have done much of the work, when will be finished?A．the other B．the rest C．another D．the others9．It’s not surprising you are tired. , you stayed up reading until eleven last night.A．Above all B．After all C．At all D．In all10．Share some of yours with those in great need and you a difference.A．have made B．make C．made D．will make11．On Sunday of September, 2020 Turners made a great decision—travel to China!A．the；the B．the；不填C．不填；the D．a；the12．The global warming, if not properly , might lead to more natural disasters.A．was controlled B．controlled C．to control D．being controlled 13．The first two services are free the third costs$3500.A．when B．as C．while D．because 14．During the Olympic Games many people served as volunteers, were young college students.A．most of whom B．most of which C．most of them D．most of what 15．—Let’s stop running, I’m afraid we can’t make it.—But isn’t your hope that we can get to the station in time?A．one B．the one C．there D．it16．—You didn’t answer me when I phoned you last night.—Oh, I off a friend from England at the airport.A．saw B．was seeing C．had seen D．have seen17．The manager tried to explain the problem, but what he said didn’t to the players.A．get about B．get across C．get down D．get over18．He have attended the concert, for he knew nothing about it.A．couldn’t B．mustn’t C．shouldn’t D．needn’t19．We have to be . There is no point in looking at a house we can’t afford to buy.A．valuable B．attractive C．actual D．practical 20．Many people have telephoned the travel agency, for further information about a tour to Taiwan.A．asked B．to ask C．asking D．having asked第三节单项填空（共20小题；每小题1.5分，满分30分）阅读下面短文，从短文后所给各题的四个选项（A、B、C和D）中，选出可以填入空白处的最佳选项。
计数原理(解析版)
专题13 计数原理1．【2019年高考全国Ⅲ卷理数】（1+2x 2 ）（1+x ）4的展开式中x 3的系数为 A ．12 B ．16 C ．20 D ．24【答案】A【解析】由题意得x 3的系数为3144C 2C 4812+=+=，故选A ．【名师点睛】本题主要考查二项式定理，利用展开式通项公式求展开式指定项的系数．2．【2019年高考浙江卷理数】在二项式9)x 的展开式中，常数项是__________；系数为有理数的项的个数是__________．【答案】 5【解析】由题意，9)x 的通项为919C (0,1,29)rr r r T x r -+==L ，当0r =时，可得常数项为0919C T ==；若展开式的系数为有理数，则1,3,5,7,9r =，有246810T , T , T , T , T 共5个项．故答案为：5．【名师点睛】此类问题解法比较明确，首要的是要准确记忆通项公式，特别是“幂指数”不能记混，其次，计算要细心，确保结果正确．3．【2019年高考江苏卷理数】设2*012(1),4,n n n x a a x a x a x n n +=++++≥∈N L ．已知23242a a a =．（1）求n 的值；（2）设(1na +=+*,ab ∈N ，求223a b -的值．【答案】（1）5n =；（2）32-．【解析】（1）因为0122(1)C C C C 4n n nn n n n x x x x n +=++++≥L ，，所以2323(1)(1)(2)C ,C 26n nn n n n n a a ---====， 44(1)(2)(3)C 24nn n n n a ---==． 因为23242a a a =，所以2(1)(2)(1)(1)(2)(3)[]26224n n n n n n n n n ------=⨯⨯，解得5n =．（2）由（1）知，5n =．5(1(1n +=02233445555555C C C C C C =++++a =+解法一：因为*,a b ∈N ，所以024*********C 3C 9C 76,C 3C 9C 44a b =++==++=，从而222237634432a b -=-⨯=-． 解法二：50122334455555555(1C C (C (C (C (C (=+++++02233445555555C C C C C C =--+-．因为*,a b ∈N ，所以5(1a -=-．因此225553((1(1(2)32a b a a -=+-=⨯-=-=-．【名师点睛】本题主要考查二项式定理、组合数等基础知识，考查分析问题能力与运算求解能力．4．【山东省郓城一中等学校2019届高三第三次模拟考试】已知二项式2(*)nx n⎛∈ ⎝N 的展开式中第2项与第3项的二项式系数之比是2︰5，则3x 的系数为 A ．14 B ．14-C ．240D ．240-【答案】C【解析】二项展开式的第1r +项的通项公式为()1C 2rn rrr n T x -+⎛= ⎝，由展开式中第2项与第3项的二项式系数之比是2︰5，可得：12C :C 2:5n n =．即22(1)5n n n =-，解得6n =或0n =（舍去）．所以()366216C 21rrr rr T x--+=-，令3632r -=，解得2r =，所以3x 的系数为()22626C 21240--=．故选C ． 【点睛】本题主要考查了二项式定理及其展开式，考查了方程思想及计算能力，还考查了分析能力，属于中档题．5．【广东省深圳市高级中学2019届高三适应性考试（6月）】已知51(1)(2)a x x x+-的展开式中各项系数的和为2，则该展开式中常数项为 A ．80- B ．40- C ．40 D ．80【答案】D【解析】令x =1，得展开式的各项系数和为51(1)(2)11a +-=1a +，12a ∴+=，1a \=，551111212a x x x x x x ⎛⎫⎛⎫⎛⎫⎛⎫∴+-=+- ⎪⎪ ⎪⎪⎝⎭⎝⎭⎝⎭⎝⎭5511122x x x x x ⎛⎫⎛⎫=-+- ⎪ ⎪⎝⎭⎝⎭，所求展开式中常数项为512x x ⎛⎫- ⎪⎝⎭的展开式的常数项与x 项的系数和，512x x ⎛⎫- ⎪⎝⎭展开式的通项为55521551C )(1)()(1)2(2C r r r r r r r r r T x x x ---+-==-⋅， 令521r -=得2r =；令520r -=，无整数解，∴展开式中常数项为258C 80=，故选D ．【点睛】本题主要考查二项展开式定理的通项与各项系数和，属于中档题． 二项展开式定理的问题也是高考命题热点之一，关于二项式定理的命题方向比较明确，主要从以下几个方面命题：（1）考查二项展开式的通项公式1C r n r rr n T a b -+=；（可以考查某一项，也可考查某一项的系数）（2）考查各项系数和和各项的二项式系数和；（3）二项展开式定理的应用．6．【山东省淄博市2019届部分学校高三阶段性诊断考试试题数学】8x ⎛⎝展开式的常数项为 A ．56- B ．28- C ．56 D ．28【答案】D【解析】8x ⎛ ⎝展开式的通项公式为4883188C (C (1)r r r r r rr T x x --+=⋅⋅=⋅-⋅， 令4803r -=，得6r =，∴所求常数项为：668C (1)28⋅-=，故选D ． 【点睛】本题考查二项式定理中求解指定项系数的问题，属于基础题．7．【河南省濮阳市2019届高三5月模拟考试】安排A ，B ，C ，D ，E ，F ，共6名义工照顾甲，乙，丙三位老人，每两位义工照顾一位老人，考虑到义工与老人住址距离问题，义工A 不安排照顾老人甲，义工B 不安排照顾老人乙，则安排方法共有 A ．30种 B ．40种 C ．42种 D ．48种【答案】C【解析】6名义工照顾三位老人，每两位义工照顾一位老人共有：2264C C 90=种安排方法， 其中A 照顾老人甲的情况有：1254C C 30=种， B 照顾老人乙的情况有：1254C C 30=种，A 照顾老人甲，同时B 照顾老人乙的情况有：1143C C 12=种，∴符合题意的安排方法有：9030301242--+=种，故选C ．【点睛】本题考查利用排列组合解决实际问题，对于限制条件较多的问题，通常采用间接法来进行求解． 8．【上海市浦东新区2019届高三下学期期中教学质量检测（二模）数学试题】二项式61(2)2x x-展开式的常数项为第_________项． 【答案】4【解析】由二项式展开式的通项公式得：T r +16C r=（2x ）6–r （12x-）r ＝6C r（–1）r 26–2r x 6–2r ， 令6–2r ＝0，得r ＝3，∴T 4为常数项，即二项式61(2)2x x-展开式的常数项为第4项，故答案为：4． 【点睛】本题考查了二项式展开式的通项，属基础题．9．【河北省唐山市2019届高三第二次模拟考试】将六名教师分配到甲、乙、丙、丁四所学校任教，其中甲校至少分配两名教师，其它三所学校至少分配一名教师，则不同的分配方案共有_________种．（用．数字作答．．．．） 【答案】660【解析】若甲校2人，乙、丙、丁其中一校2人，共有223643C C A 种，若甲校3人，乙、丙、丁每校1人，共有3363C A 种，则不同的分配方案共有223643C C A +3363C A 660=种，故答案为：660．【点睛】本题考查排列组合，分类讨论思想，对每个学校人数讨论是关键，是基础题． 10．【上海市交大附中2019届高三高考一模试卷数学试题】已知232*0121111n nn x x x x a a x a x a x n ++++++⋯++=+++⋯+∈N （）（）（）（）（），且012126n a a a a +++⋯+=，那么n的展开式中的常数项为_________． 【答案】–20【解析】∵232*0121111n nn x x x x a a x a x a x n ++++++⋯++=+++⋯+∈N （）（）（）（）（）， 令1x =，可得210122122222212n nn n a a a a +-+++⋯+=++⋯+==--（），∴122126n +-=，∴6n =，那么n，即6的展开式的通项公式为316C 1r rr r T x -+=⋅-⋅（）， 令30r -=，求得3r =，可得展开式中的常数项为36C 20-=-，故答案为：–20．【点睛】本题主要考查二项式定理的应用，赋值法，求展开式的系数和，项的系数，准确计算是关键，属于基础题．11．【江西省南昌市南昌外国语学校2019届高三高考适应性测试数学试卷】设m 为正整数，()2mx y + 展开式的二项式系数的最大值为()21m a x y ++，展开式的二项式系数的最大值为b ，若158a b =，则m =_________． 【答案】7【解析】()2m x y + 展开式中二项式系数的最大值为2C m ma =， ()21m x y ++展开式中二项式系数的最大值为121C m m b ++=，因为158a b =，所以122115C 8C m m m m ++=，即(2)!(21)!158!!!(1)!m m m m m m +=+，解得7m =． 【点睛】本题考查了二项式定理及二项式系数最大值的问题，解题的关键是要能准确计算出二项式系数的最大值．12．【北京市首都师范大学附属中学2019届高三一模数学试题】若21nx x+（）展开式中的二项式系数和为64，则n 等于_________，该展开式中的常数项为_________． 【答案】6 15【解析】由21nx x ⎛⎫+ ⎪⎝⎭展开式中的二项式系数和为64，可得264n =，解得6n =，62211n x x x x ⎛⎫⎛⎫+=+ ⎪ ⎪⎝⎭⎝⎭的展开式的通项公式为122123166C C r r r rr r T xx x ---+=⋅⋅=⋅， 令1230r -=，解得4r =，故该展开式中的常数项为4266C C 15==，本题正确结果为：6，15．【点睛】本题主要考查二项式定理的应用，二项展开式的通项公式，求展开式中某项的系数，二项式系数的性质，属于中档题．13．【广东省2019届高三六校第一次联考数学试题】若02sin c (s )o a x x dx π=-⎰，则6a x-（的展开式中常数项为_________． 【答案】240 【解析】Q 002sin cos (2cos sin )(|()20)(20)4a x x dx x x ππ=-=--=----=⎰，∴64x （展开式的通项公式为(636621664C 41C rr rr r rrr T xx ---+⎛⎫==- ⎪⎝⎭（），令3-602r=，即4r =．∴64x（的展开式中，常数项是6444641C =240--（），故答案为240． 【点睛】本题考查定积分的计算和二项式定理的应用，利用二项展开式的通项公式求展开式中某项的系数是解题关键．14．【河北衡水金卷2019届高三12月第三次联合质量测评】二项式()00nb ax a b x ⎛⎫+>> ⎪⎝⎭，的展开式中，设“所有二项式系数和”为A ，“所有项的系数和”为B ，“常数项”值为C ，若25670A B C ===，，则含6x 的项为_________． 【答案】68x【解析】依题得2256n=，所以n =8，在nb ax x ⎛⎫+ ⎪⎝⎭的展开式中令x =1，则有()8256a b +=，所以a+b =2，又因为n b ax x ⎛⎫+ ⎪⎝⎭展开式的通项公式为()()8882188C C rr r r r r r r b T ax a b x x ---+⎛⎫== ⎪⎝⎭，令8204r r -=⇒=．所以得到4448C 7011a b ab ab =⇒==-，（舍），当1ab =时，由2a b +=得1a b ==．所以令8261r r -=⇒=，所以16628C 8T x x ==，故答案为：68x ．【点睛】求二项展开式有关问题的常见类型及解题策略：（1）求展开式中的特定项．可依据条件写出第r ＋1项，再由特定项的特点求出r 值即可．（2）已知展开式的某项，求特定项的系数．可由某项得出参数项，再由通项写出第r ＋1项，由特定项得出r 值，最后求出其参数．15．【山东省烟台市2019届高三5月适应性练习（二）】设20|sin |n x dx π=⎰在，则12(1)nx x ⎛⎫-+ ⎪⎝⎭展开式中2x 的系数为_________． 【答案】8- 【解析】由题意，22020|sin ||sin ||sin |sin (sin )n x dx x dx x dx xdx x dx πππππππ==+=+-=⎰⎰⎰⎰⎰20cos cos 4x xπππ-+=，4(1)x +的通项公式为4144C 1C r r r r rr T x x -+=⨯⋅=，当2r =时，22234C 6T x x ==，当3r =时，33344C 4T x x ==，故12(1)n x x ⎛⎫-+ ⎪⎝⎭展开式中2x 的系数为4(2)68+-⨯=-．故答案为：8-． 【点睛】本题考查了定积分的计算、二项式定理，正确求出n 值，是解题的关键．16．【湖南省师范大学附属中学2019届高三考前演练（五）】总书记在湖南省湘西州十八洞村考察时首次提出“精准扶贫”概念，精准扶贫成为我国脱贫攻坚的基本方略．为配合精准扶贫战略，某省示范性高中安排6名高级教师（不同姓）到基础教育薄弱的甲、乙、丙三所中学进行扶贫支教，每所学校至少1人，因工作需要，其中李老师不去甲校，则分配方案种数为_________． 【答案】360【解析】方法1：根据甲、乙、丙三所中学进行扶贫支教，每所学校至少1人，可分四种情况：（1）甲校安排1名教师，分配方案种数有11422325542532C C C A C C A 150+=（）； （2）甲校安排2名教师，分配方案种数有213222543242C C C A C C 140+=（）； （3）甲校安排3名教师，分配方案种数有31225322C C C A 60=； （4）甲校安排4名教师，分配方案种数有411521C C C 10=；由分类计数原理，可得共有1501406010360+++=（种）分配方案．方法2：由6名教师到三所学校，每所学校至少一人，可能的分组情况为4，1，1；3，2，1；2，2，2， （1）对于第一种情况，由于李老师不去甲校，李老师自己去一个学校有12C 种，其余5名分成一人组和四人组有4252C A 种，共421522C A C 20=（种）；李老师分配到四人组且该组不去甲校有312522C C A 40=（种），则第一种情况共有204060+=（种）；（2）对于第二种情况，李老师分配到一人组有32215222C C A C 40=（种），李老师分配到三人组有22125222C C C A 120=（种），李老师分配到两人组有11325242C C C C 80=（种），所以第二种情况共有4080120240++=（种）；（3）对于第三种情况，共有11225242C C C C 60=（种）；综上所述，共有6024060360++=（种）分配方案．【点睛】本题主要考查了分类计数原理，以及排列、组合的综合应用，其中解答中认真审题，合理分类讨论是解答的关键，着重考查了分析问题和解答问题的能力，属于基础题．17．【上海市复旦大学附属中学2019届高三高考4月模拟试卷数学试题】袋中装有5只大小相同的球，编号分别为1，2，3，4，5，若从该袋中随机地取出3只，则被取出的球的编号之和为奇数的概率是_________（结果用最简分数表示）． 【答案】25【解析】从5只球中随机取出3只，共35C 10=种情况， 而取出的3只球的编号之和为奇数，有2偶1奇和3只全为奇数两种情况，若取出3只球中有2只偶数1只是奇数，则有1232C C 3=种情况， 若取出的3只球中有3只是奇数则有33C 1=种情况，所以取出的球的编号之和为奇数的概率为12332335C C C 42C 105+==．故答案为：25． 【点睛】本题考查概率的求法，是基础题，解题时要认真审题，注意等可能事件概率计算公式的合理运用．18．【河北省衡水市2019届高三四月大联考数学试题】现有一圆桌，周边有标号为1，2，3，4的四个座位，甲、乙、丙、丁四位同学坐在一起探讨一个数学课题，每人只能坐一个座位，甲先选座位，且甲、乙不能相邻，则所有选座方法有_________种．（用数字作答） 【答案】8【解析】先按排甲，其选座方法有14C 种，由于甲、乙不能相邻， 所以乙只能坐甲对面，而丙、丁两位同学坐另两个位置的坐法有22A 种，所以共有坐法种数为1242C A 428⋅=⨯=种．故答案为：8．【点睛】排列、组合问题由于其思想方法独特、计算量大，对结果的检验困难，所以在解决这类问题时就要遵循一定的解题原则，如特殊元素、位置优先原则，先取后排原则，先分组后分配原则，正难则反原则等，只有这样我们才能有明确的解题方向．同时解答组合问题时必须考虑周全，做到不重不漏，正确解题．。
河北唐山市2022届高三下学期4月学业水平选择性考试第二次模拟演练(二模)语文试题及答案 人教版高
河北唐山市2022届高三下学期4月学业水平选择性考试第二次模拟演练（二模）语文试题及答案人教版高三总复习唐山市2022年普通高等学校招生统一考试第二次模拟演练语文注意事项：1.答卷前，考生务必将自己的姓名和座位号填写在答题卡上。
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一、现代文阅读（35分）（一）现代文阅读I(本题共5小题，19分）阅读下面的文字，完成1~5题。
材料一：“科幻小说”是一个新兴独立的小说文类。
“科学”与“幻想”是构成科幻小说特色的美学要素，而且两者应是统一整体。
但是人们却一直争论科幻小说姓“科”还是姓“文”的问题。
“姓科说”认为，科幻小说主要是艺术地表达一种“科学”的幻想，“科学”是科幻小说的灵魂，“小说”不过是手段或者外壳。
“姓文说”则认为，科幻小说既然是文艺，中心任务当然是塑造人物、反映社会、宣扬哲学，“科学”不过是一种表达方式而已。
这场争论实质上是两种创作价值观念的较量，也是文学批评一元论的表现。
深受中国文化熏陶的知识分子具有忧患意识。
直面现实的入世态度，要求知识分子懂得务实，要“兼及天下”，不作无谓的幻想。
所以，国人头脑中的“幻想”并不是一个多么美好的字眼，它的延伸义就是痴心妄想、不切实际。
人们即使看到科学幻想小说中的“幻想”二字，也会与不着边际的“空想”联系起来，自觉或不自觉地产生一种抵制情绪。
这种“务实”意识体现在作品里，就是联系“当下”的“教化”文学。
科幻小说中的“想象”是应该有限制的，要“科学”地想象。
而科幻小说中的“科学”，虽然有学理依据，但它是科学的艺术化想象，它体现的是一种精神，一种面对未来世界的探索勇气和对现实的人文关怀。
深受中国文化熏陶的知识分子有历史承担意识。
历史意识投射在文学上是一种“回望”历史的审美心理。