北京101中学2020-2021学年上学期初中七年级9月月考英语试卷
北京101中学2020-2021学年上学期初中七年级9月月考英语试卷试卷共7道大题,满分100分。
考试时间90分钟。
一、选择填空:(15分,每题1. 5分)1. Miss Smith is very kind. We all like ____________.A. itB. herC. himD. them2. We usually have the first class ____________ 8:00 a. m..A. ofB. inC. onD. at3. There is ____________ orange hat on the desk.A. theB. aC. anD. /4. —Lily, ____________ you finish the letter in ten minutes?—Yes, I can.A. mustB. shouldC. needD. can5. I was late for school, ____________ there’s something wrong with my bike.A. butB. becauseC. orD. and6. Listen, the baby ____________ in the bedroom. He must be hungry.A. is cryingB. criesC. was cryingD. cried7. Middle school students come back to school in ____________ for a new school year in China.A. AugustB. JulyC. OctoberD. September8. Mary writes ____________ than her twin sister Kate.A. goodB. wellC. betterD. best9. Tom ____________ his classmate with his math yesterday.A. helpsB. helpedC. has helpedD. was helping10. You can say “____________” when you meet your English teacher at school in the morning,.A. How are you?B. Good night.C. See you.D. Good-bye.二、完形填空(15分,每小题1. 5分)阅读下面的短文,掌握其大意,然后从短文后各题所给的A、B、C、D四个选项中,选择最佳选项。
Life Is a Cup of CoffeeA group of graduates (毕业生) got together to visit their old university professor (教授).The 11 soon turned into complaints(抱怨) about stress (压力) in work and life. To offer his guests coffee, the professor went to the 12 and returned with a large pot of coffee and cups of different 13 -paper, plastic, glass, crystal, some plain-looking, some expensive, some cheap-telling them to help themselves to the coffee.When all the students had a cup of coffee 14 , the professor said, "You see, all the nice-looking 15 cups have been taken up, leaving behind the plain and cheap ones. 16 it is normal for you to want only the best for yourselves, that is the source (源头) of your problems and stress.""What all of you really want is 17 , not the cup, but you consciously (有意识地) went for the best cups... And then you began 18 each other's cups.""Now think about this. Life is the coffee; the jobs, money and position in society are the cups. They are just tools to hold and contain (装) life, and the kind of cup we have does not decide, or change the quality (质量) of life we live. Sometimes, by concentrating (集中注意力) only on the cup, we 19 to enjoy the coffee. Don't let the cups 20 you. Enjoy the coffee instead."11. A. conversation B. lesson C. group D. room12. A. study B. garden C. bedroom D. kitchen13. A. kinds B. sizes C. colors D. designs14. A. in mind B. on back C. in hand D. on foot15. A. cheap B. ordinary C. expensive D. common16. A. When B. Although C. If D. Since17. A. coffee B. stress C. work D. money18. A. buying B. borrowing C. eyeing D. smelling19. A. fail B. try C. dislike D. manage20. A. improve B. interest C. drive D. harm三、阅读理解(32分,每题2分)阅读下面的4篇短文,掌握其大意,然后从短文后各题所给的A、B、C、D四个选项中,选择最佳选项。
(A)Advertisements21. If you want a musician to teach your kid guitar, which number will you call?A. 5201318.B. 6963749.C. 6695325.D. 3133696.22. What can't you buy in the second advertisement?A. Color TV.B. IPad.C. Radio.D. MP3 player.23. The secretary they want should have experience on _________.A. computersB. artsC. gardeningD. writing24. What's in the lost yellow bag?A. A mobile phone and a wallet.B. A mobile phone and some books.C. Some books and an ID card.D. Some books and a wallet.\(B)I am a school girl. My brother and I are twins. We are both at school. We like school. My parents are both teachers. They work hard. My brother and I study at No. 1 Middle School. There are twenty-five boys and eighteen girls in our class.We go to school from Monday to Friday. We have no classes on Saturdays and Sundays. We usually get up at six, and have breakfast at 6:30 a.m.. We come to school at 7:00 a.m.. Classes begin at eight. We have four lessons in the morning and two in the afternoon. We have lunch at 12:15 p.m.. At three fifty we have sports.We study Chinese, maths, English, geography, physics, history, politics and other lessons. We like Chinese. We like English, too. Some of us are good at it. We go home at 5:00 p.m.. We have supper at 6:00 p.m.. We do our homework at seven every evening and go to bed at half past nine, but sometimes we go to sleep at about ten.We work hard, we study for the people.25. My brother is __________ and I am __________.A. a worker, a studentB. a student, a workerC. a student, a teacherD. a student, a student26. We have __________ at fifteen past twelve.A. breakfastB. lunchC. supperD. dinner27. We begin to do our homework from __________ to __________ every evening.A. Monday, FridayB. seven, nineC. school, homeD. six, eight28. Do we often have sports in the morning or in the afternoon?A. Yes. we do.B. No, we don't.C. In the morning.D. In the afternoon.(C)The greatest saleswoman in the world today doesn't mind if you call her a girl. That's because Markita Andrews has got more than eight thousand dollars selling Girl Scout (童子军) cookies since she was seven years old.Going door-to-door after school, the terribly shy Markita changed herself into the cookie-selling dynamo(高手).It starts with great wish.For Markita and her mother, whose husband left them when Markita was eight years old, their dream was to travel the world. "I'll work hard to make enough money to send you to college," her mother said one day. "When you leave college, you'll make enough money to take you and me around the world. Okay?"So at the age of 13 when Markita read in her Girl Scout magazine that the Scout who sold the most cookies would win a free trip for two around the world, she decided to sell all the Girl Scout cookies she could-more Girl Scout cookies than anyone in the world, ever.Wish, however, alone is not enough. To make her dream come true, Markita knew she needed a plan."When you are doing business, wear your Girl Scout clothes when you go up to people in their building," her aunt told her. "Always smile, whether they buy something or not and always be nice."Lots of other Scouts may have wanted that trip around the world, but only Markita went off in her own uniform each day after school, ready to ask-and keep asking-people to help in her dream.Markita sold 3,526 boxes of Girl Scout cookies that year and won her trip around the world. Since then, she has sold more than 42,000 boxes of Girl Scout cookies.Markita is no cleverer than thousands of other people, with dreams of their own. The difference is that many people fail before they even begin. They fear (恐惧) that they will be refused (拒绝). This fear leads many of us to refuse ourselves and prevents us from getting where we have set off for long before anyone else ever has the chance-no matter what we are selling."It takes courage (勇气) to ask for what you want," she said. "Courage is not that you don't have fear. It means doing what it takes although you have a fear of it" .29. From the story we learn that ________.A. a good planning is the most important in the job of sellingB. Markita took the free trip around the world herselfC. Markita has a full-time selling job nowD. to do something successfully, we should do what is needed30. Markita ________.A. started to sell Girl Scout cookies when she was 13 years oldB. has only one parentC. whose parents are rich, went to collegeD. sold cookies in different shops31. Which of the following is the best title (标题)?A. The Greatest Saleswoman in the World.B. A Successful Girl in Selling.C. The Secret of Selling.D. Girl Scout Cookies.32. The main reason for Markita's success is that ________.A. she asks for what she wants before she is refusedB. she isn't afraid to be refusedC. her aunt has told her how to sell thingsD. she has a good wish(D)The technology is great. Without it we wouldn't have been able to put a man on the moon, explore the ocean's depths or eat microwave sausages. Computers have changed our lives and they have the power to educate and pass on knowledge. But sometimes this power can create more problems than it solves.Every doctor has had to try their best to calm down patients who've come into their surgery waving an Internet print-out, convinced (确信) that they have some rare incurable (难以治愈的) disease, say, throat cancer. The truth is usually far more ordinary, though: they don't have throat cancer, and it's just that their throats are swollen (肿胀的). Being a graduate of the Internet "school" of medicine does not guarantee (保证) accurate self-health-checks.One day Mrs. Almond came to my hospital after feeling faint at work. While I took her blood sample and tried to find out what was wrong, she said calmly, "I know what's wrong; I've got throat cancer. I know there's nothing you doctors can do about it and I've just got to wait until the day comes."As a matter of routine I ordered a chest X-ray. I looked at it and the blood results an hour later. Something wasn't right. "Did your local doctor do an X-ray?" I asked. "Oh, I haven't been to the doctor for years," she replied. "I read about it on a website and the symptoms (症状) fitted, so I knew that's what I had."However, some of her symptoms, like the severe cough and weight loss, didn't fit with it-but she'd just ignored this.I looked at the X-ray again, and more tests confirmed (确认) it wasn't the cancer but tuberculosis (肺结核)-something that most certainly did need treating, and could be deadly. She was lucky we caught it when we did.Mrs. Almond went pale when I explained she would have to be on treatment for the next six months to ensure that she was fully recovered. It was certainly a lesson for her. "I'm so embarrassed," she said, shaking her head, as I explained that all the people she had come into close contact with would have to be found out and tested. She listed up to about 20, and then I went to my office to type up my notes. Unexpectedly, the computer was not working, so I had to wait until someone from the IT department came to fix it. Typical. Maybe I should have a microwave sausage while I waited?33. Mrs. Almond talked about her illness calmly because _________.A. she thought she knew it wellB. she had bought medicine onlineC. she graduated from a medical schoolD. she had been treated by local doctors34. It was lucky for Mrs. Almond _________.A. to have contacted many friendsB. to have her disease identified in timeC. not to go to the doctor for yearsD. to have become well in a short time35. Mrs. Almond said "I'm so embarrassed" (Para. 7) because _________.A. she had distrusted her close friendsB. she had to refuse the doctor's adviceC. she had caused unnecessary troubleD. she had to tell the truth to the doctor36. By telling "the computer was not working"(the last paragraph), the writer probably wants to show _________.A. it's a must to take a break at workB. it's important to believe in IT professionalsC. it's a danger to work long hours on computersD. it's unwise to simply depend on technology四、音标写词(8分,每题1分)识别以下单词音标,写出正确单词拼写。
2020北京市101中学初三英语三模试卷,
2020届初三年级中考三模试卷英语 2020.7.7知识运用(共14分)一、单项填空(共6分,每小题0.5分)从下面各题所给的A、B、C、D四个选项中,选择可以填入空白处的最佳选项。
()1. We all like ______city because it is clean and beautiful.A. usB. oursC. ourD. we()2. --- Do you know your mother's birthday?---Yes,it's ______May 1st.A. inB. onC. atD. to()3.I tried to pass the driving test,_______ I failed.A. soB. forC. orD. but()4. ---_____do you have dinner with your family at restaurants?--- Hardly ever.A. How oftenB. How longC. How manyD. How much()5. --- ______I go out for fun, mum?--- I'm afraid you can't. You must finish your homework first.A. MustB. NeedC. ShouldD. Can()6. I don't think physics is ______ of the subjects we have learned.A. the most difficultB. most difficultC. more difficultD. the more difficult()7.--- Where is mum?--- She _______in the kitchen.A. cooksB. is cookingC. will cookD. cooked()8. Our teacher told us _________carefully in class.A. listenB. to listenC. listenedD. listens()9.Lily will send me a message as soon as she ______ in England.A. arrivesB. will arriveC. arriveD. arrived()10. John speaks Chinese very well because he_______ in China for many years.A. livesB. has livedC. livedD. is living()11. The students ______many chances to take part in after-class activities every term.A. giveB. gaveC. are givenD. were given()12.---Could you tell me_______ at eight tomorrow morning?---At the school gate.A. where we metB. where did we meetC. where we will meetD. where will we meet二、完形填空(共8分,每小题1分)阅读下面的短文,掌握其大意,然后从短文后各题所给的A、B、C、D四个选项中,选择最佳选项。
北京101中学2020-2021学年九年级上学期9月月考数学试题(Word学生考试版)
北京101中学2021届上学期初中九年级9月月考数学试卷(考试时间:120分钟 满分:100分)一、选择题:本大题共16分,每题2分.1. 中国国家航天局2020年4月24日在“中国航天日”之际宣布,将中国行星探测任务命名为“天问”,将中国首次火星探测任务命名为“天问一号”.火星具有与地球十分相近的环境,与地球最近的时候距离约5500万千米,将5500用科学记数法表示为( )A. 40.5510⨯B. 35.510⨯C. 25.510⨯D. 25510⨯ 2. 若一个多边形的内角和等于720°,则这个多边形的边数是( )A. 5B. 6C. 7D. 83. 实数a ,b ,c 在数轴上的对应点的位置如图所示,则下列结论正确的是( )A. a b c >>B. ||||b a >C. 0b c +<D. 0ab > 4. 如图,直线a ∥b ,直线l 与a ,b 分别交于A ,B 两点,过点B 作BC ⊥AB 交直线a 于点C ,若∠1=65°,则∠2的度数为( )A. 115°B. 65°C. 35°D. 25° 5. 如果2a b +=,那么a b a b b a +--22值是( )A. 2B. 4C. -2D. -46. 把直线1:32l y x =-向右平移2个单位可以得到直线2l ,要得到直线2l ,也可以把直线1l ( )A. 向上平移2个单位B. 向下平移2个单位C. 向上平移6个单位D. 向下平移6个单位7. 在平面直角坐标系xOy 中,点P 在由直线y=-x+3,直线y=4和直线x=1所围成的区域内或其边界上,点Q 在x 轴上,若点R 的坐标为R (2,2),则QP+QR 的最小值为( ) 17 5 C. 5 D. 48. “实际平均续航里程”是指电动汽车的行驶总里程与充电次数的比值,是反映电动汽车性能的重要指标.某汽车生产厂家为了解某型号电动汽车的“实际平均续航里程”,收集了使用该型号电动汽车1年以上的部分客户的相关数据,按年龄不超过40岁和年龄在40岁以上将客户分为,A B两组,从,A B组各抽取10位客户的电动汽车的“实际平均续航里程”数据整理成下图,其中“⊙”表示A组的客户,“*”表示B组的客户.下列推断不正确的是()A. A组客户的电动汽车的“实际平均续航里程”的最大值低于B组B. A组客户的电动汽车的“实际平均续航里程”的方差低于B组C. A组客户的电动汽车的“实际平均续航里程”的平均值低于B组D. 这20位客户的电动汽车的“实际平均续航里程”的中位数落在B组二、填空题:本大题共16分,每题2分.9. 若代数式1x-有意义,则实数x的取值范围是_________.10. 分解因式:34x x-=______.11. 一次函数y=-x+2的图像不经过第_______________象限.12. 如图,1,2,3∠∠∠均是五边形ABCDE的外角,//AE BC,则123∠+∠+∠=_____________°.13. 如图,在△ABC中,∠ACB=50°,点D,E分别是AB,AC的中点,若点F在线段DE上,且∠AFC =90°,则∠FAE的度数为___________°.14. 手工课上,老师将同学们分成A,B两个小组制作两个汽车模型,每个模型先由A组同学完成打磨工作,再由B组同学进行组装完成制作,两个模型每道工序所需时间如下:工序时间模型打磨(A组)组装(B组)模型1 9分钟5分钟模型2 6分钟11分钟则这两个模型都制作完成所需的最短时间为__________分钟.15. 正方形ABCD的边长为4,点,M N在对角线AC上(可与点,A C重合),2MN=,点,P Q在正方形的边上.下面四个结论中,①存在无数个四边形PMQN是平行四边形;②存在无数个四边形PMQN是菱形;③存在无数个四边形PMQN是矩形;④至少存在一个四边形PMQN是正方形.所有正确结论的序号是_______.16. 如图所示,一副含30°和45°角的三角板ABC和EDF拼合在一个平面上,边AC与EF重合,AC=12cm,当点E从点A出发沿AC方向滑动时,点F同时从点C出发沿射线BC方向滑动,当点E从点A滑动到点C时,点D运动的路径长为____________cm.三、解答题:本题共68分,第17—20题,每小题5分,21题6分,22题5分,第23—26题,每小题6分,第27题7分,28题6分17.1318227-⎛⎫----⎪⎝⎭18. 解分式方程:22x1x4x2+=--.19. 下面是小星同学设计的“过直线外一点作已知直线的平行线”的尺规作图过程:已知:如图,直线l和直线l外一点A求作:直线AP,使得AP∥l作法:如图①在直线l上任取一点B(AB与l不垂直),以点A为圆心,AB为半径作圆,与直线l交于点C.②连接AC,AB,延长BA到点D;③作∠DAC的平分线AP.所以直线AP就是所求作的直线根据小星同学设计的尺规作图过程,(1)使用直尺和圆规,补全图形(保留作图痕迹)(2)完成下面的证明证明:∵AB=AC,∴∠ABC=∠ACB(填推理的依据)∵∠DAC是△ABC的外角,∴∠DAC=∠ABC+∠ACB(填推理的依据)∴∠DAC=2∠ABC∵AP平分∠DAC,∴∠DAC=2∠DAP∴∠DAP=∠ABC∴AP∥l(填推理的依据)20. 如图,在△ABC中,BD平分∠ABC交AC于点D,DE∥AB交BC于点E,F是BD中点.求证:EF平分∠BED.21. 已知关于x 的方程24310x x a -+-=有两个实数根.(1)求实数a 的取值范围;(2)若a 为正整数,求方程的根.22. 在平面直角坐标系xOy 中,直线l 1:y =k 1x +b 过A (0,﹣3),B (5,2),直线l 2:y =k 2x +2.(1)求直线l 1的表达式;(2)当x ≥4时,不等式k 1x +b >k 2x +2恒成立,请写出一个满足题意的k 2的值.23. 如图,在△ABC 中,AB AC =,AD 平分∠BAC ,CE ∥AD 且CE AD =.(1)求证:四边形ADCE 是矩形;(2)若△ABC 是边长为4的等边三角形,对角线AC ,DE 相交于点O ,在CE 上截取CF =CO ,连接OF ,求四边形AOFE 的面积.24. 我国的传统佳节端午节,历来有吃“粽子”的习俗,某食品加工厂拥有A 、B 两条不同的粽子生产线,原计划A 生产线每小时加工粽子400个,B 生产线每小时加工粽子500个.(1)若生产线A,B一共加工12小时,且生产粽子总数量不少于5500个,则B生产线至少加工多少小时?(2)原计划A,B生产线每天均工作8小时,由于受其它原因影响,在实际生产过程中,A生产线每小时比原计划少生产100a个(a>0),B生产线每小时比原计划少生产100个,为了尽快将粽子投放到市场,A 生产线每天比原计划多工作2a小时,B生产线每天比原计划多工作a小时,这样一天恰好生产粽子6400个,求a的值.25. 如图,点P是AB上一动点,连接AP,作∠APC=45°,交弦AB于点C.已知AB=6cm,设A,P两点间的距离为x cm,P,C两点间的距离为y1cm,A,C两点间的距离为y2cm.(当点P与点A重合时,y1,y2的值为0;当点P与点B重合时,y1的值为0,y2的值为6).小智根据学习函数的经验,分别对函数y随自变量x的变化而变化的规律进行了探究.下面是小智的探究过程,请补充完整:(1)按照下表中自变量x的值进行取点、画图、测量,分别得到了y与x的几组对应值;x/cm 0 1 2 3 4 5 6y1/cm 0 1.21 2.09 m 2.99 2.82 0y2/cm 0 0.87 1.57 2.20 2.83 3.61 6经测量m 的值是 (保留一位小数).(2)在同一平面直角坐标系xOy 中,描出补全后的表中各组数值所对应的点(x ,y 1),(x ,y 2),并画出函数y 1,y 2的图象;(3)结合函数图象,解决问题:当△ACP 为等腰三角形时,AP 的长度约为 cm (保留一位小数).26. 阅读与理解在平面直角坐标系xoy 中,点(,)P x y 经过 τ变换得到点(,)P x y ''',该变换记为 ()(),','x y x y τ=,其中''x ax by y ax by =+⎧⎨=-⎩(,a b 为常数). 例如,当1a =,且 1b =时,()()()()()2,31213,12131,5τ-=⨯-+⨯⨯--⨯=-.(1) 当1a =,且 2b =-时,(0,1)τ= ;(2) 若(1,2)(0,2)τ=-,则 a = ,b = ;(3) 设点(,)P x y 是直线 2y x =上的任意一点,点P 经过变换τ得到点(,)P x y '''.若点 P 与点P ' 关于原点对称,求a 和 b 的值.27. 已知:在△ABC 中,∠ABC =90°,AB =BC ,点D 为线段BC 上一动点(点D 不与点B 、C 重合),点B 关于直线AD 的对称点为E ,作射线DE ,过点C 作BC 的垂线,交射线DE 于点F ,连接AE . (1)依题意补全图形;(2)AE 与DF 位置关系是_____________;(3)连接AF ,点D 在运动变化的过程中,∠DAF 的度数是否始终保持不变,如果不变请求出其度数,如果变化请说明理由.28. 在平面直角坐标系xOy 中,对任意两点111222(,),(,)P x y P x y ,如果1212x x y y -+-=d ,则称1P 与2P 互为“d -距点”.例如:点12(3,6),(1,7)P P ,由31d =-+673-=,可得1P 与2P 互为“3-距点”.(1)在点D (-2,-2),E (5,-1),F (0,4)中,原点O 的“4-距点”是__________(填字母); (2)已知点A (2,1),点B (0,b ),过点B 平行于x 轴的直线l .①当b =3时,直线l 上的点A 的“2-距点”的坐标为_____________________;②若直线l 上存在点A 的“2-距点”,在坐标系中画出这些A 的“2-距点”组成的图形,并写出b 的取值范围.。
北京101中学度下学期初中七年级期末考试英语试卷
北京101中学2022-2022学年度下学期初中七年级期末考试英语试卷听力理解〔共26分〕一、听对话,选择与对话内容相符的图片。
每段对话读两遍。
〔共4分,每题 1分〕1.A B C2.A B C3.A B C4.A B C二、听对话或独白,选择最正确选项。
每段对话或独白读两遍。
〔共12分,每题1分〕请听一段对话,完成第5至第6小题。
5. Where did Carol goA. She went to a factory.B. She went to a park.C. She went to a farm.6. What did she do thereA. She rode a horse.B. She milked a cow.C. She fed some chickens.请听一段对话,完成第7至第8小题。
7. What does Johnny Dean look likeA. He is tall and fat.B. He is short and thin.C. He is tall and thin.8. Who is Tina BrownA. The actress who is of medium build.B. The actress with black hair.C. Theactress who is of medium height.请听一段对话,完成第9至第10小题。
9. Where does the conversation take placeA. At a college.B. At a TV studio.C. At a hospital.10. What’re the speakers m ainly talking aboutA.Safest places at home.B.Most accidents at home.C.Children’s safety at home.请听一段对话,完成第11至第13小题。
北京101中学2021届下学期初中九年级3月月考英语试卷
北京101中学2021届下学期初中九年级3月月考英语试卷 知识运用(共33分) 一、单项填空。(共15分,每小题1分) 从下面各题所给的A、B、C、D四个选项中,选择可以填入空白处的最佳选项。 1 My mother was very busy during the Sfortable B difficult C
e an artist After come famous worldwide For Sic striic stries” She adds that the more serious the breathing es comfortable, and mend it to everyone” 37 The word “swae to e in with a little girl in a wheelchair(轮椅) As I looed closer at this girl, I realied she had no arms __52__ legs, just a head, nec and body She was wearing a little white dress When the old e from a e into her world, a world of smiles and love I’m a successful business e
六、文段表达。(15分) 57 从下面两个题目中任选一题,根据中文和英文提示,完成一篇不少于50词的文段写作。 文中已给出内容不计入总词数。所给提示词语仅供选用。请不要写出你的校名和姓名。 题目① 假如你是李华,你的澳大利亚朋友ain very glad to now that you’re interested in Chinese medicine _______________ ____________________________________________________________________ ____________________________________________________________________ 题目② 俗话说:“人无完人。”但每个人都有自己的独特之处,人生就是一次自我完善、自我超越的旅程。正如法国作家雨果所说:“进步,才是人应该有的现象。” 回首三年的初中时光,你在学习和生活中一定取得了不少的进步,比如知识累积、生活技能、人际交往、体育锻炼、良好习惯等方面。请你以自己的经历为例,讲讲自己取得进步的故事和感想。 提示词语:used to do/be, try one’s best to, mae ent No one is ination and the heledia and other oment/time/point 55 what 56 Taught 六、略
北京101中学初中英语七年级上册Starter Unit 1测试题(课后培优)
一、选择题1.—What's this in English?—It's an ________.A.pen B.orange C.black B解析:B【详解】句意:——这个用英语怎么说?——它是一个橙子。
A.pen钢笔;B. orange橙子;C. black黑色的,根据所给空前面的an可知,应该用的是可数名词单数且是以元音音素开头的单词,orange符合语境,故答案选B。
【点睛】不定冠词a/an用在可数名词前,当名词或名词前面的修饰词是以元音音素开头的单词时,用an,当名词或名词前面的修饰词是以辅音音素开头的单词时,用a。
例如题目中,根据所给空前面的an可知,应该用的是可数名词单数且是以元音音素开头的单词,orange符合语境,故答案选B。
2.-What’s this _______English? -It’s _______apple.A.with; an B.in; a C.in;an C解析:C【解析】句意:这个用英语怎么说?——它是一个苹果。
in English用英语,首先排除A;apple [ˈæpl]以元音音素开头,前面应该用不定冠词an,故答案为C。
点睛:不定冠词a用于辅音音素开头的单词前,不定冠词an用于元音音素开头的单词前。
单数可数名词前用不定冠词a还是an取决于首字母的发音,是看音素而不是首字母。
如:an hour,虽然h是辅音字母,但h不发音,单词仍以元音音素开头,故前面用an。
3.—Hello,Jim! —________A.Hello, Gina! B.Thank you. C.I'm Bob.A解析:A【解析】句意:----你好,吉姆----_________。
考查情景交际。
A. Hello, Gina! 你好,吉娜!B. Thank you.谢谢你;C. I'm Bob.我叫鲍勃。
当别人说Hello,对方应说Hello,或Hi。
2019—2020学年度北京市101中学第一学期初一期中考试初中英语
2019—2020学年度北京市101中学第一学期初一期中考试初中英语英语试卷第I 卷 〔共70分〕 听力部分 〔共14分〕一、听对话,选择与对话内容相符的图片。
每段对话读两遍。
〔共6分,每题1分〕请听第一段对话,完成第1小题。
1.请听第二段对话,完成第2小题。
2.请听第三段对话,完成第3小题。
3.请听第四段对话,完成第4小题。
4.A.B.C .A .B.C.A .B .C.A. B. C.请听第五段对话,完成第5小题。
5.A. B C.请听第六段对话,完成第6小题。
6.A. B. C.二、听对话,依照其内容,从以下各题所给的A,B, C 三个选项中,选择最正确选项。
每段对话读两遍。
〔共8分,每题1分〕听第一段对话,回答7—8题。
7.How many people are there in Sally’s family?A.Two. B.Three. C.Four.8.Where is her sister?A.She is behind the sofa. B.She is in the sofa. C.She is near the dresser.听第二段对话,回答第9—11小题。
9.What is the man’s last name?A.Nick. B.Smith. C.Jack.10.Where does Nick come from?A.China. B.USA. C.German. 11.What’s the woman’s favorite color?A.Pink. B.Green. C.Red.听第三段对话,回答12—14 小题。
12.Where are the speakers talking?A.At school. B.In Linda’s home. C.On the phone. 13.What are they going to do?A.Play basketball. B.Watch TV. C.Play soccer ball. 14.What does Linda think of playing soccer ball?A.Interesting. B.Funny. C.Difficult. 请打开第二卷,看第一大题听力试题。
2020-2021学年北京九中初中部高三英语月考试题及答案解析
2020-2021学年北京九中初中部高三英语月考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AThe following 4 famous paintings, from Jan van Eyck’s portrait to Pablo Picasso’s masterpiece, have stood the test of time.The Arnolfini PortraitJan van Eyck’s Arnolfini Portrait, an oil painting on wood produced in 1434, is undoubtedly one of the masterpieces in the National Gallery,London. This painting is as visually interesting as it is famed. It is also an informative document on fifteenth-century society, through van Eyck’s heavy use of symbolism-while husbands went out to engage in business, wives concerned themselves with domestic duties.The Starry NightVincent van Gogh painted The Starry Night, oil on canvas, a moderately abstract landscape painting of an expressive night sky over a small hillside village, during his 12-month stay at the mental hospital nearSaint-Remy-de-Provence,Francebetween 1889 and 1890. When theMuseumofModern ArtinNew York Citypurchased the painting from a private collector in 1941, it was not well known, but it has since become one of van Gogh's most famous works.The HarvestersThe Harvesters is an oil painting on wood completed by Pieter Bruegel the Elder in 1565. It depicts the harvest time which most commonly occurred within the months of August and September. Nicolaes Jonghelinck, a merchant banker and art collector fromAntwerp, commissioned this painting. The painting has been at the Metropolitan Museum of Art inNew York Citysince 1919.GuernicaGuernica,a large black-and-white oil painting, was painted by the Cubist Spanish painter, Pablo Picasso in 1937. The title ‘Guernica’ refers to the city that was bombed by Nazi planes during the Spanish Civil War. The painting depicts the horrors of war and as a result, has come to be an anti-war symbol and a reminder of the tragedies of war. Today, the painting is housed at the Museo National Centro de Arte ReinaSofiainMadrid.1. What do the four paintings have in common?A. They are oil paintings.B. They are kept inNew York.C. They show different people’s lives.D. They are created during 10th century to 19th century.2. What do we know about The Starry Night?A. It shows the scenery of a small hillside village.B. Van Gogh produced it when living in his home.C. A private collector gave it away to the museum.D. It was not famous before 1941.3. Whose painting shows the destruction of war?A. Jan van Eyck.B. Vincent van Gogh.C. Pieter Bruegel.D. Pablo Picasso.BSaroo Brierley, a 4-year-old boy, livedin ruralIndia. One day, he played with his brother along the rail line and fell asleep. When he woke up, he found himself alone. So he got on the train in front of him to search for his brother.That train took him a thousand miles across the country to a totally strange city. He lived on the streets, and then in an orphanage (孤儿院), where he was adopted by an Australian family and taken to Tasmania.Brierley is a famous writer now, and in his new book,A Long Way Home, he wrote he couldn’t help but wonder about his hometown back inIndia. He remembered landmarks, but since he didn’t know his town’s name, finding a small neighborhood in a vast country seemed impossible.Then he found a digital mapping program. He spent years searching for his hometown in the program’s satellite pictures. In 2011, he came across something familiar. He studied it and realized he was looking at a town’s central business district from a bird’s-eye view. He thought, “On the right-hand side you should see the three-platform train station”—and there it was. “And on the left-hand side you should see a big fountain”—and there it was. Everything matched!Standing in front of the house where he grew up as a child, he saw a lady standing at the entrance. It took him a few seconds but he finally remembered what she used to look like.In an interview Brierley says, “My mother came forth and walked forward, and I walked forward, my eyes filled with tears and my brain blank. I just didn’t know what to say, because I never thought seeing my mother would ever come true. And here I am, standing in front of her.”4. Why did Brierley get on the train when he was a little boy?A. To go back to his home.B. To look for his brother.C. To travel toTasmania.D. To follow a stranger.5. What made it difficult for Brierley to find his hometown?A. The vast area ofIndia.B. The fact that he was nobody then.C. His not remembering the town’s name.D. The distance betweenAustraliaand his hometown.6. How did Brierley find his hometown?A. By studying digital maps.B. By analyzing old pictures.C. By travelling all aroundIndia.D. By spreading his story via his book.7. What’s the best title of the passage?A. Love for MotherB. Union with BrotherC. Memory of HometownD. Long Way back HomeCI dropped out of college after my first year. Three years later, I returned to college after having been stuck in a dead-end job, working at a department store. I saw school as my way out. But I quickly found myself up against the same problems that had caused me to give up before. I was in over my head with college-level algebra (代数) and a heavy workload of reading and writing homework. In addition, I was still unsure of my career (职业) direction。
2020-2021学年北京市101中学七年级(下)月考数学试卷(6月份)
2020-2021学年北京市101中学七年级(下)月考数学试卷(6月份)题号 一 二 三 四 总分 得分一、选择题(本大题共10小题,共20.0分) 1. 下列各式中,正确的是( )A. −√−83=2B. −√(−2)2=2C. 3√5−2√5=1D. √16=±42. 若a <b ,则下列结论不正确的是( )A. a +4<b +4B. a −3<b −3C. −2a >−2bD. 12a >12b3. 下列运算正确的是( )A. x 2+x 3=x 5B. (−2a 2)3=−8a 6C. x 2⋅x 3=x 6D. x 6÷x 2=x 34. 下列各组数值中,是方程2x −y =8的解的是( )A. {x =1y =−2B. {x =2y =0C. {x =0.5y =−7D. {x =5y =−25. 下列调查适合采用抽样调查的是( )A. 某公司招聘人员,对应聘人员进行面试B. 调查一批节能灯泡的使用寿命C. 为保证火箭的成功发射,对其零部件进行检查D. 对乘坐某次航班的乘客进行安全检查6. 不等式x +1<−1的解集在数轴上表示正确的是( )A. B. C. D.7. 对于①x −3xy =x(1−3y),②(x +3)(x −1)=x 2+2x −3,从左到右的变形,表述正确的是( )A. 都是因式分解B. 都是乘法运算C. ①是因式分解,②是乘法运算D. ①是乘法运算,②是因式分解8. 已知:(x +y)2=12,(x −y)2=4,则x 2+3xy +y 2的值为( )A. 8B. 10C. 12D. 149.如图,l1//l2,l3⊥l4,①∠1+∠3=90°,②∠3+∠4=90°,③∠2=∠4,下列说法中,正确的是()A. 只有①正确B. 只有②正确C. ①和②正确D. ①②③都正确10.不等式5−2x>−3的非负整数解的个数是()A. 5个B. 4个C. 3个D. 2个二、填空题(本大题共8小题,共24.0分)11.如图,在平面直角坐标系中,已知点A(1,1),B(−1,1),C(−1,−2),D(1,−2),把一根长为2019个单位长度且没有弹性的细线(线的粗细忽略不计)的一端固定在A处,并按A→B→C→D→A…的规律紧绕在四边形ABCD的边上,则细线的另一端所在位置的点的坐标是______.12.任意实数a,可用[a]表示不超过a的最大整数,如[4]=4,[√3]=1,现对72进行如下操作:72→[√72]=8→[√8]=2→[√2]=1,这样对72只需进行3次操作后变为1.类似地:对数字900进行了n次操作后变为1,那么n的值为______.13.如图所示,一只蚂蚁从平面直角坐标系的原点O点出发,沿向上、向右、向下、向右、向上的方向不断爬行,每次移动一个单位,依次经过点A1,A2,A3,A4,…,那么点A2022的坐标是________.14.如图,直线AB、CD相交于点O,OE⊥AB,垂足为点O,∠COE:∠BOD=2:3,则∠AOD=______.15.若(2x−5)2+√4y+1=0,则x+2y=______.16. 如果不等式组{x >nx +8<4x −1的解集是x >3,那么n 的取值范围是______ .17. 数学讲究记忆方法.如计算(a 5)2时若忘记了法则,可以借助(a 5)2=a 5×a 5=a 5+5=a 10,得到正确答案.你计算(a 2)5−a 3×a 7的结果是______.18. 某校公布了该校反映各年级学生体育达标情况的两张统计图,该校七、八、九三个年级共有学生800人,则九年级未达标的学生人数为______人.三、计算题(本大题共2小题,共10.0分) 19. 解方程组{x +3y =−53x −4y =−2.20. 先化简,再求值:(a +3)2−(a +1)(a −1)−2(2a +4),其中a =−12.四、解答题(本大题共8小题,共46.0分)21. 计算:−12020+√25−|1−√2|+√−83−√(−3)222. 分解因式:(1)−3a 2+6ab −3b 2; (2)9a 2(x −y)+4b 2(y −x).23. 解不等式组{x +5≤0,3x−12≥2x +1,并写出它的最大负整数解.24. 把下面的说理过程补充完整.已知:如图,∠1+∠2=180°,∠3=∠B.试判断∠AED 与∠4的关系,并说明理由. 结论:∠AED =∠4.理由:∵∠1+∠BDF =180°(______),∠1+∠2=180°(已知)∴∠2=∠BDF.(______) ∴EF//AB.(______)∴∠3=∠ADE.(______)∵∠3=∠B,(已知)∴∠B=______.∴DE//BC.(______)∴∠AED=∠ACB.(______)又∵∠ACB=∠4,(______)∴∠AED=∠4.25.今年史上最长的寒假结束后,学生复学,某学校为了增强学生体质,鼓励学生在不聚集的情况下加强体育锻炼,决定让各班购买跳绳和毽子作为活动器材.已知购买2根跳绳和5个毽子共需32元;购买4根跳绳和3个毽子共需36元.(1)求购买一根跳绳和一个毽子分别需要多少元?(2)某班需要购买跳绳和毽子的总数量是54,且购买的总费用不能超过260元;若要求购买跳绳的数量多于20根,通过计算说明共有哪几种购买跳绳的方案.26.为了解同学们的身体发育情况,学校体卫办公室对七年级全体学生进行了身高测量(精确到lcm),并从中抽取了部分数据进行统计,请根据尚未完成的频数分布表和频数分布直方图解答下列问题:频数分布表分组频数百分比144.5~149.524%149.5~154.536%154.5~159.5a16%159.5~164.51734%164.5~169.5b n%169.5~174.5510%174.5~179.536%(1)填空:a=______、b=______、n=______.(2)补全频数分布直方图;(3)学校准备从七年级学生中选拔护旗手,要求身高不低于170cm且低于175cm,如果七年级有学生350人,护旗手的候选人大概有多少?27.喜欢思考的小泽同学,设计了一种折叠纸条的游戏.如图1,纸条的一组对边PN//QM(纸条的长度视为可延伸),在PN,QM上分别找一点A,B,使得∠ABM=α.如图2,将纸条作第一次折叠,使BM′与BA在同一条直线上,折痕记为BR1.解决下面的问题:(1)聪明的小白想计算当α=90°时,∠BR1N′的度数,于是他将图2转化为下面的几何问题,请帮他补全问题并求解:如图3,PN//QM,A,B分别在PN,QM上,且∠ABM=90°,由折叠:BR1平分______,BM′//R1N′,求∠BR1N′的度数.(2)聪颖的小桐提出了一个问题:按图2折叠后,不展开纸条,再沿AR1折叠纸条(如图4),是否有可能使AM′′⊥BR1?如果能,请直接写出此时α的度数;如果不能,请说明理由.(3)笑笑看完此题后提出了一个问题:当0°<α≤90°时,将图2记为第一次折叠;将纸条展开,作第二次折叠,使BM′与BR1在同一条直线上,折痕记为BR2(如图5);将纸条展开,作第三次折叠,使BM′与BR2在同一条直线上,折痕记为BR3;…以此类推.①第二次折叠时,∠BR2N′=______(用α的式子表示);②第n 次折叠时,∠BR n N′=______(用α和n 的式子表示).28. 对于三个数a ,b ,c ,用M{a,b ,c}表示这三个数的平均数,用max{a,b ,c}表示这个三个数中最大的数.例如:M{−1,2,3}=−1+2+33=43,max{−1,2,3}=3,max{−1,2,a}={a(a ≥2)2(a <2),解决下列问题:(1)①max{−(−2),−|−2|,1(−2)2}=______.②如果max{2,2x +2,−2x}=2,则x 的取值范围为______. (2)①如果M{3,x +1,32x}=max{3,x +1,32x},则x =______.②根据①,你发现了结论“如果M{a,b ,c}=max{a ,b ,c},那么______(填a ,b ,c 的大小关系)”. ③运用②的结论,填空: 若M{x+y 5,y+z 9,z+x 8}=max{x+y 5,y+z 9,z+x 8},并且x +6y +5z =150,则x +y +z =______.答案和解析1.【答案】A【解析】解:A、−√−83=2,正确;B、−√(−2)2=−2,故此选项错误;C、3√5−2√5=√5,故此选项错误;D、√16=4,故此选项错误;故选:A.直接利用算术平方根和立方根的定义分别化简得出答案.此题主要考查了算数平方根,立方根,根据定义正确化简各数是解题关键.2.【答案】D【解析】解:A、∵a<b,∴a+4<b+4,故本选项不符合题意;B、∵a<b,∴a−3<b−3,故本选项不符合题意;C、∵a<b,∴−2a>−2b,故本选项不符合题意;D、∵a<b,∴12a<12b,故本选项符合题意;故选:D.由不等式的性质解答即可.本题考查了不等式的基本性质,不等式的变形:①两边都加、减同一个数,具体体现为“移项”,此时不等号方向不变,但移项要变号;②两边都乘、除同一个数,要注意只有乘、除负数时,不等号方向才改变.3.【答案】B【解析】【分析】本题考查的是同底数幂的除法,熟知同底数幂的除法及乘方法则、合并同类项的法则、幂的乘方与积的乘方法则是解答此题的关键.解答此题根据法则计算出结果判断即可.【解答】解:A.x 2与x 3不是同类项,不能合并,故错误; B .(−2a 2)3=−8a 6,正确; C .x 2⋅x 3=x 5≠x 6,故错误; D .x 6÷x 2=x 4≠x 3,故错误. 故选B .4.【答案】C【解析】解:A 、把{x =1y =−2代入方程左边得:2+2=4,右边=8,左边≠右边,故不是方程的解;B 、把{x =2y =0代入方程左边得:4−0=4,右边=8,左边≠右边,故不是方程的解;C 、把{x =0.5y =−7代入方程左边得:1+7=8,右边=8,左边=右边,是方程的解;D 、把{x =5y =−2代入方程左边得:10+2=12,右边=8,左边≠右边,故不是方程的解,故选:C .把各项中x 与y 的值代入方程检验即可.此题考查了二元一次方程的解,方程的解即为能使方程左右两边相等的未知数的值.5.【答案】B【解析】解:A 、某公司招聘人员,对应聘人员进行面试适合采用全面调查; B 、调查一批节能灯泡的使用寿命适合采用抽样调查;C 、为保证火箭的成功发射,对其零部件进行检查适合采用全面调查;D 、对乘坐某次航班的乘客进行安全检查适合采用全面调查; 故选:B .根据普查得到的调查结果比较准确,但所费人力、物力和时间较多,而抽样调查得到的调查结果比较近似解答.本题考查的是抽样调查和全面调查,选择普查还是抽样调查要根据所要考查的对象的特征灵活选用,一般来说,对于具有破坏性的调查、无法进行普查、普查的意义或价值不大,应选择抽样调查,对于精确度要求高的调查,事关重大的调查往往选用普查.6.【答案】A【解析】解:∵x+1<−1,∴x<−2,故选:A.根据解一元一次不等式基本步骤:移项、合并同类项可得.本题主要考查解一元一次不等式的基本能力,严格遵循解不等式的基本步骤是关键,尤其需要注意不等式两边都乘以或除以同一个负数不等号方向要改变.7.【答案】C【解析】解:①x−3xy=x(1−3y),从左到右的变形是因式分解;②(x+3)(x−1)=x2+2x−3,从左到右的变形是整式的乘法,不是因式分解;所以①是因式分解,②是乘法运算.故选:C.根据因式分解的定义(把一个多项式化成几个整式积的形式,叫因式分解,也叫分解因式)判断即可.此题考查了因式分解.解题的关键是掌握因式分解的定义:把一个多项式化为几个整式的积的形式,这种变形叫做把这个多项式因式分解.8.【答案】D【解析】解:∵(x+y)2=12①,(x−y)2=4②,∴①+②得2(x2+y2)=16,解得x2+y2=8,①−②得4xy=8,解得xy=2,∴x2+3xy+y2=8+3×2=14.故选:D.由于(x+y)2=12,(x−y)2=4,两式相加可得x2+y2的值,两式相减可得xy的值,再整体代入计算即可求解.考查了完全平方公式.关键是根据已知条件两式相加求得x2+y2的值,两式相减得xy 的值.9.【答案】C【解析】解:∵l1//l2,∴∠2=∠3,∠1=∠4,∵l3⊥l4,∴∠1+∠2=90°,∠3+∠4=90°,∴∠1+∠3=90°,∴选项①和②正确,故选:C.利用两直线平行,同位角相等与垂直的定义,对选项一一分析,排除错误答案.本题考查了平行线的性质和垂直的定义,熟记平行线的性质是解题的关键.10.【答案】B【解析】解:移项得,−2x>−3−5,合并同类项得,−2x>−8,系数化为1得,x<4.故其非负整数解为:0,1,2,3一共4个.故选:B.先求出不等式5−2x>−3的解集,再求其非负整数解.本题考查一元一次不等式的解法及非负整数的定义.解答时尤其要注意,系数为负数时,要根据不等式的性质3,将不等号的方向改变.根据不等式的性质,正确地解出不等式的解集是解答本题的关键.11.【答案】(1,0)【解析】解:∵A(1,1),B(−1,1),C(−1,−2),D(1,−2),∴AB=2,AD=3,四边形ABCD为矩形,=(3+2)×2=10.∴C矩形ABCD∵2019=202×10−1,∴细线的另一端在线段AD上,且距A点1个单位长度,∴细线的另一端所在位置的点的坐标是(1,1−1),即(1,0).故答案为:(1,0).由点A,B,C,D的坐标可得出四边形ABCD为矩形及AB,AD的长,由矩形的周长公式可求出矩形ABCD的周长,结合2019=202×10−1可得出细线的另一端在线段AD 上且距A点1个单位长度,结合点A的坐标即可得出结论.本题考查了规律型:点的坐标,由四边形ABCD的周长找出细线另一端点所在的位置是解题的关键.12.【答案】4【解析】解:900→第一次[√900]=30→第二次[√30]=5→第三次[√5]=2→第四次[√2]=1,即对数字900进行了4次操作后变为1,即n的值为4.故答案为4.根据[a]表示不超过a的最大整数计算,可得答案.本题考查了估算无理数的大小的应用,主要考查学生的阅读能力和逆推思维能力.13.【答案】(1011,1)【解析】【分析】本题主要考查学生找规律能力和数形结合的能力,解题的思路:结合图形找出坐标的移动规律,从移动规律中计算其纵坐标和横坐标的变化,从而计算点A 2022的坐标.动点A在平面直角坐标系中按向上、向右、向下、向右的方向依次不断地移动,只要求出前几个坐标,然后根据坐标找规律.【解答】解:根据题意和图的坐标可知:每次都移动一个单位长度,按向上、向右、向下、向右的方向依次不断地移动A 1(0,1)、A 2(1,1)、A 3(1,0)、A 4(2,0),A 5(2,1)、A 6(3,1)、A 7(3,0)…∴坐标变化的规律:每移动4次,它的纵坐标都为1,而横坐标向右移动了2个单位长度,也就是移动次数的一半,∴2022÷4=505…2,∴A 2022纵坐标是A 2的纵坐标1,∴A 2022横坐标是0+2×505+1=1011,那么点A 2022的坐标为(1011,1),故答案为(1011,1).14.【答案】126°【解析】【分析】此题主要考查了垂线,对顶角以及邻补角等知识,正确得出∠BOD的度数是解题关键.利用垂直的定义结合∠COE :∠BOD =2:3可求∠BOD ,再根据邻补角的定义得出答案.【解答】解:∵OE ⊥AB ,∴∠AOE =90°,∴∠COE +∠AOC =90°,∴∠COE +∠BOD =90°,∵∠COE :∠BOD =2:3,∴∠BOD =54°,∴∠AOD =126°.故答案为:126°.15.【答案】2【解析】【分析】本题考查了非负数的性质有关知识,根据非负数的性质列式求出x 、y 的值,然后代入代数式进行计算即可得解.【解答】解:根据题意得,2x −5=0,4y +1=0,解得x =52,y =−14,所以,x +2y =52+2×(−14)=52−12=2.故答案为2. 16.【答案】n ≤3【解析】【分析】本题考查不等式组的解集,一元一次不等式组的解法,已知不等式组的解集,求不等式中另一未知数的问题,可以先将另一未知数当作已知数处理,求出解集与已知解集比较,进而求得另一个未知数.先用含有n 的代数式把原不等式组的解集表示出来,然后和已知的解集比对,得到关于n 的不等式,从而解答即可.【解答】解:{x >n①x +8<4x −1②由①得,x >n ,由②得,x >3,根据已知条件,不等式组解集是x >3根据“同大取大”原则n ≤3.故答案为:n ≤3.17.【答案】0【解析】解:(a 2)5−a 3×a 7=a 10−a 10=0.故答案为:0.直接利用幂的乘方运算以及同底数幂的乘法运算计算得出答案.此题主要考查了幂的乘方运算法则以及同底数幂的乘法运算,正确掌握相关运算法则是解题关键.18.【答案】5【解析】解:800×30%−235=240−235=5人,故答案为:5.求出九年级人数减去达标人数即可,九年级占800人的30%,其中235人已经达标,求出未达标人数.考查条形统计图、扇形统计图的制作方法,理解统计图中各个数量之间的关系式解决问题的关键.19.【答案】解:{x +3y =−5 ①3x −4y =−2 ②, ①×3得:3x +9y =−15③,③−②,得13y =−13,∴y =−1,把y =−1代入①,得x =−2,∴{x =−2y =−1是原方程组的解.【解析】方程组整理后,利用代入消元法求出解即可.此题考查了解二元一次方程组,利用了消元的思想,消元的方法有:代入消元法与加减消元法.20.【答案】解:原式=a2+6a+9−(a2−1)−4a−8=2a+2将a=−12代入原式=2×(−12)+2=1【解析】注意到(a+3)2可以利用完全平方公式进行展开,(a+1)(a−1)利润平方差公式可化为(a2−1),则将各项合并即可化简,最后代入a=−12进行计算.本题主要考查整式的混合运算,灵活运用两条乘法公式:完全平方公式和平方差公式是解题的关键,同时,在去括号的过程中要注意括号前的符号,若为负号,去括号后,括号里面的符号要改变21.【答案】解:原式=−1+5−(√2−1)−2−3=−1+5−√2+1−2−3=−√2.【解析】直接利用二次根式的性质以及绝对值的性质、负整数指数幂的性质分别化简得出答案.此题主要考查了实数运算,正确化简各数是解题关键.22.【答案】解:(1)原式=−3(a2−2ab+b2)=−3(a−b)2;(2)原式=(x−y)(3a+2b)(3a−2b).【解析】(1)原式提取公因式,再利用完全平方公式分解即可;(2)原式提取公因式,再利用平方差公式分解即可.此题考查了提公因式法与公式法的综合运用,熟练掌握因式分解的方法是解本题的关键.23.【答案】解:解不等式x+5≤0,得x≤−5,解不等式3x−12≥2x+1,得:x≤−3,则不等式组的解集为x≤−5,所以不等式组的最大负整数解为−5.【解析】分别求出每一个不等式的解集,根据口诀:同小取小确定不等式组的解集,从而得出答案.本题考查的是解一元一次不等式组及其整数解,正确求出每一个不等式解集是基础,熟知“同大取大;同小取小;大小小大中间找;大大小小找不到”的原则是解答此题的关键.24.【答案】邻补角的定义 同角的补角相等 内错角相等,两直线平行 两直线平行,内错角相等 ∠ADE 同位角相等,两直线平行 两直线平行,同位角相等 对顶角相等【解析】解:∵∠1+∠BDF =180°(邻补角的定义),∠1+∠2=180°(已知) ∴∠2=∠BDF.(同角的补角相等)∴EF//AB.(内错角相等,两直线平行)∴∠3=∠ADE.(两直线平行,内错角相等)∵∠3=∠B ,(已知)∴∠B =∠ADE .∴DE//BC.(同位角相等,两直线平行)∴∠AED =∠ACB.(两直线平行,同位角相等)又∵∠ACB =∠4,(对顶角相等)∴∠AED =∠4.故答案为:邻补角的定义;同角的补角相等;内错角相等,两直线平行;两直线平行,内错角相等;∠ADE ;同位角相等,两直线平行;两直线平行,同位角相等;对顶角相等.依据内错角相等,两直线平行,即可判定EF//AB ,再根据平行线的性质,即可得到∠B =∠ADE ,进而得出DE//BC ,再根据平行线的性质以及对顶角的性质,即可得到∠AED =∠4.本题主要考查了平行线的性质与判定,平行线的判定是由角的数量关系判断两直线的位置关系,平行线的性质是由平行关系来寻找角的数量关系.25.【答案】解:(1)设购买一根跳绳需要x 元,购买一个毽子需要y 元,依题意,得:{2x +5y =324x +3y =36, 解得:{x =6y =4. 答:购买一根跳绳需要6元,购买一个毽子需要4元.(2)设购买m 根跳绳,则购买(54−m)个毽子,依题意,得:{6m +4(54−m)≤260m >20, 解得:20<m ≤22.又∵m 为正整数,∴m可以为21,22.∴共有2种购买方案,方案1:购买21根跳绳,33个毽子;方案2:购买22根跳绳,32个毽子.【解析】本题考查了二元一次方程组的应用以及一元一次不等式组的应用,解题的关键是:(1)找准等量关系,正确列出二元一次方程组;(2)根据各数量之间的关系,正确列出一元一次不等式组.(1)设购买一根跳绳需要x元,购买一个毽子需要y元,根据“购买2根跳绳和5个毽子共需32元;购买4根跳绳和3个毽子共需36元”,即可得出关于x,y的二元一次方程组,解之即可得出结论;(2)设购买m根跳绳,则购买(54−m)个毽子,根据购买的总费用不能超过260元且购买跳绳的数量多于20根,即可得出关于m的一元一次不等式组,解之即可得出m的取值范围,结合m为正整数即可得出各购买方案.26.【答案】8 12 24【解析】解:(1)本次抽取的学生有:2÷4%=50(人),a=50×16%=8,b=50−2−3−8−17−5−3=12,n%=12×100%=24%,50故答案为:8,12,24;(2)由(1)知a=8,b=12,补全的频数分布直方图如右图所示;(3)350×10%=35(人),答:护旗手的候选人大概有35人.(1)根据144.5~149.5这一组的频数和百分比可以求得本次调查的学生数,从而可以求得a、b、n的值;(2)根据(1)中a、b的值可以将频数分布直方图补充完整;(3)根据直方图中的数据可以计算出护旗手的候选人大概有多少.本题考查频数分布直方图、频数分布表、用样本估计总体,解答本题的关键是明确题意,利用数形结合的思想解答.27.【答案】(1)∠ABM;(2)α=60°;由折叠可得,∠PAB=α=60°,∠ABR1=30°,∠R1AM″=60°,∴∠BAM″=180°−60°−60°=60°,∴∠ABR1+∠BAM″=30°+60°=90°,∴AM′′⊥BR1;(3)①180°−α4;②180°−α2n;【解析】【分析】本题考查平行线的性质,折叠轴对称的性质以及找规律,根据平行线的性质、折叠得到各个角之间的关系是解决问题的关键.(1)根据折叠的性质可得,BR1平分∠ABM,由折叠得出对应角相等,再根据四边形的内角和为360°可求出答案;(2)求证当α=60°时,使AM′′⊥BR1,由折叠对应角相等,再根据三角形的内角和得出结论;(3)①根据折叠得出∠R1BR2=12×12α=α4,进而利用四边形的内角和求出结果,②折叠n次可得∠R n BR n+1=12×12×…××12α=α2n,再根据四边形的内角和求出结果.【解答】解:(1)根据折叠的性质可得,∠MBR1=∠M′BR1,即,BR1平分∠ABM,故答案为:∠ABM,∵∠ABM=90°,∴∠MBR1=∠M′BR1=12∠ABM=45°,在四边形M′BR1N′中,∠M′=∠N′=∠M=∠N=90°,∴∠BR1N′=360°−90°−90°−45°=135°;(2)见答案;(3)①由折叠可得∠R1BR2=12×12α=α4,在四边形M′BR2N′中,∠M′=∠N′=∠M=∠N=90°,∴∠BR2N′=360°−90°−90°−α4=180°−α4;故答案为:180°−α4;②折叠n次可得∠R n BR n+1=12×12×…××12α=α2n,在四边形中有内角和可得,∠BR n N′=360°−90°−90°−α2n =180°−α2n,故答案为:180°−α2n.28.【答案】2 −1≤x≤0 2 a=b=c33【解析】解:(1)①−(−2)=2,−|−2|=−2,1(−2)2=14,∵2>14>−2,∴max{−(−2),−|−2|,1(−2)2}=2,故答案为:2;②由max{2,2x+2,−2x}=2可得,{2≥2x+22≥−2x,解得,−1≤x≤0,故答案为:−1≤x≤0;(2)①由题意得,3=x+1=32x,解得,x=2,故答案为:2;②由三个数的平均数等于这三个数中的最大数,所以这三个数相等,即a=b=c;故答案为:a=b=c;③由题意得,x+y5=y+z9=x+z8,且x+6y+5z=150,解得,x=6,y=9,z=18,所以x+y+z=6+9+18=33,故答案为:33.(1)①比较−(−2),−|−2|,1的大小即可得出答案;②根据意义列不等式组求解即(−2)2可;(2)①由题意可得这三个数相等,求出x的值即可;②三个数的平均数与这三个数的最大值相等,因此这三个数相等,即a=b=c;③根据②的结论,列方程组求解即可.本题考查绝对值、平均数、一元一次方程的应用,理解题意,列出相应的方程组求解是正确解答的关键.第21页,共21页。
精品解析:北京101中学2020-2021学年七年级上学期9月月考数学试题(解析版)
3.14×52=3.14×25=78.5(平方厘米). 故答案为:78.5. 【点睛】本题考查了圆的周长和面积的计算以及有理数的乘除,正确理解题意、列出相应的算式是解题的 关键.
16. 用 8 个棱长 3 厘米的立方体拼成一个长方体,其中表面积最小的长方体的面积为______平方厘米.
【答案】216 【解析】 【分析】 用 8 个棱长 3 厘米的立方体拼成一个长方体,有 3 种不同的拼组方法:(1)1×8 排列;(2)2×4 排列;(3) 2×2×2 排列,由此利用长方体的表面积公式分别求出它们的表面积即可解决问题. 【详解】(1)1×8 排列,表面积为: (3×24+3×24+3×3)×2, =153×2, =306(平方厘米); (2)2×4 排列,表面积为: (3×12+6×12+3×6)×2, =126×2, =252(平方厘米); (3)2×2×2 排列,表面积是: 6×6×6=216(平方厘米), 答:表面积最小的是 216 平方厘米. 故答案为:216. 【点睛】本题考查了长方体的表面积公式的计算应用,抓住 8 个小正方体拼组长方体的特点,得出 3 种不 同的拼组方法是解决本题的关键.
【详解】解: 1100% 1 20% 1100% 40% .
故答案为:40. 【点睛】本题考查了有理数除法的应用,正确列出算式、熟练掌握运算法则是解题关键.
13. 小王、小李和小张,同时各做 120 个同样的机器零件,当小王做完时,小李做了 100 个,小张做了 80 个,照这样计算,小李做完时,小张还差________个没做. 【答案】24 【解析】 【分析】 根据题意可以不用管小王做的,根据小李与小张所完成的数量比,设未知数用比例的方法解答即可. 【详解】解:设小李做完时小张做了 x 个,根据题意,得: 100:80=120:x, 100x=9600, x=96, 所以小张还差 120-96=24(个).
2020年7月北京市101中学中考三模英语试卷(word版,无答案)
2020 届初三年级中考三模试卷英语2020.7.7知识运用(共14 分)一、单项填空(共6 分,每小题0.5 分)从下面各题所给的A、B、C、D 四个选项中,选择可以填入空白处的最佳选项。
()1. We all like city because it is clean and beautiful.A. usB. oursC. ourD. we()2. --- Do you know your mother's birthday?---Yes,it's May 1st.A. inB. onC. atD. to()3.I tried to pass the driving test,I failed.A. soB. forC. orD. but()4 --- do you have dinner with your family at restaurants?--- Hardly ever.A. How oftenB. How longC. How manyD. How much()5 ---- I go out for fun, mum?--- I'm afraid you can't. You must finish your homework first.A. MustB. NeedC. ShouldD. Can()6. I don't think physics is of the subjects we have learned.A. the most difficultB. most difficultC. more difficultD. the more difficult()7 -- Where is mum?--- She in the kitchen.A. cooksB. is cookingC. will cookD. cooked()8. Our teacher told us carefully in class.A. listenB. to listenC. listenedD. listens()9.Lily will send me a message as soon as she in England.A. arrivesB. will arriveC. arriveD. arrived()10. John speaks Chinese very well because he in China for many years.A. livesB. has livedC. livedD. is living()11. The students many chances to take part in after-class activities every term.A. giveB. gaveC. are givenD. were given()12.---Could you tell me at eight tomorrow morning?---At the school gate.A. where we metB. where did we meetC. where we will meetD. where will we meet二、完形填空(共8 分,每小题 1 分)阅读下面的短文,掌握其大意,然后从短文后各题所给的A、B、C、D 四个选项中,选择最佳选项。
