江苏省扬州中学教育集团树人学校2020届九年级英语上学期第一次月考试题(无答案) 牛津译林版
扬州中学教育集团树人学校2020–2020学年第一学期阶段练习九年级英语(满分:140分;时间:110分钟)(友情提醒:请将第I卷答案填涂在答题卡上,第II卷答案写在答题卡上,否则无效)第Ⅰ卷(80分)一、听力部分(共20小题;每小题1分,计20分)I . 听下面10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(听两遍)。
1.Where is Kate going to travel this year?A B C2. What does the woman suggest?A B C3. Which picture are they talking about?A B C4. What programme are they watching?A B C5. How long did Mike stay in Canada?A. A week.B. Three days.C. A month.6. What time does the woman get up now?A. At 6 o’clock.B. At 6:15.C. At 5:45.7. How about the girl’s homework?A. Too difficult.B. It hasn’t been finished yet.C. It has beenfinished already.8. What does the girl think of the new teacher?A. He is kind.B. He is friendly.C. He is a little noisy.9. What do we learn from the dialogue?A. Amy finished the exam in an hour.B. The test has one page.C. The exam was difficult.10. What’s the children’s mothe r doing now?A. She is having lunch.B. She is cleaning the living room.C. She is coming home.II. 听下面一段对话,回答第11~12题(听两遍)。
11. Who packed the camera?A. Jim himself.B. Jim’s father.C. Jim’s mother.12. What’s the relationship(关系) between the two speakers?A. Father and son.B. Brother and sister.C. Mother and son.III. 听下面一段独白。
回答第13~15题,从题中所给的A、B、C三个选项中选出最佳选项,完成信息记录表(听两遍)。
My plan To improve 13 .To call on people to 14 something to the poor.To work harder at 15 .14. A. say B. donate C. send15. A. hobbies B. sports C. lessonsIV. 听下面一篇短文,根据短文内容选择正确答案(听两遍)。
16. Why was Mr. Lee afraid of taking a plane?A. He had an accident before.B. He read a lot about accidents.C. His last trip by plane wasn’t good.17. Who wanted to take Mr. Lee for a ride?A. His father.B. His boss.C. His friend.18. How was the weather when Mr. Lee got on the plane?A. It was sunny.B. It was cloudy.C. It was cold.19. How did Mr. Lee feel when the plane started to move?A. He was excited.B. He was relaxed.C. He was scared.20. What did Mr. Lee see out of the window?A. Some trees.B. Some ants.C. Some people.二、单项选择(共15小题;每小题1分,计15分)在下列各题A、B、C、D四个选项中选择一个能填入题干空白处的最佳答案.21. — Do you enjoy Han Lei’s songs?—Yes. He is _____ winner of I’m singer II.I can’t think of anyone with _____ better voice.A. the; aB. the; theC. a; theD. a; a22. — I find it hard to ______ Tom.—I don’t think so. He is sometimes impatient but he’s kind.A. go on withB. get along withC. go up withD. catch up with23. — Tim, how do your parents like pop music?— _____ my dad ____ my mom likes it. They both prefer classical music.A. Either; orB. Neither; norC. Not only; but alsoD. Both; and24. — Some children can’t afford ______ necessary stationery.— Let’s donate some pocket money to them.A. buyB. to buyingC. to be boughtD. to buy25. —I think drinking milk every morning is good ______ our health.— Yes. I agree ______ you.A. to; toB. with; toC. at; withD. for;with26. —What a heavy rain!.—So it is. I prefer _______ rather than ______ on such a rainy day.A. to go out; stay at homeB. to stay at home; go outC. going out; stay at homeD. staying at home; go out27. —Dear, you need to ________ by next week, to go to university at home or abroad.You are going to be eighteen.—OK, Mom. I am considering it.A. make an appointmentB. make a suggestionC. make a decisionD. make a advice28. — Will it be sunny this afternoon?— It _______ fine. Who knows? The weather always changes quickly.A. must beB. will beC. may beD. maybe29. — The documentary A Bite of China II is quite popular around China recently.How do you like it?— ______________.A. I think soB. Pretty goodC. It’s my pleasureD. All right30. — Bad luck! On my way home, I had my watch _______.—I’m sorry to hear that. Maybe you will have no choice but _______ another one.A. stolen; to buyB. stolen; buyC. stole; to buyD. stole; buy31. —There’s nothing wrong with your sister, _________?— ________, she just had a cold.A. isn’t it; NoB. is it; YesC. is there; NoD.is there; Yes32. — What do you think of the TV show Running Man?—Wonderful! I think it is ______ an interesting TV show that______ many people like watching it.A. so; soB. such; soC. so; suchD.such; such33. —I have great _______ in learning English and I am so worried. Could you helpme?— Sure, I’ll be glad to.A. interestB. funC. questionD.trouble34. — Walking more is good for our health.—You’re right. So I’d rather_______ an hour’s walk to work than consider________ a car.A. take; drivingB. take; driveC. to take; to driveD.to take; driving35. — Excuse me, could you please tell me _________?— Yes, there’s a history museum.A. if there are any good museums in YangzhouB. how often do you go to the history museumC. are there any good museums in YangzhouD. how long it takes to get to the history museum三、完形填空(共15小题;每小题1分,计15分)阅读下列短文,从文后各题所给的四个选项中选出一个最佳答案.I came to study in the US last fall. My life was quite simple when I arrivedat Andover. Although I had quite a few after-class activities, I didn’t take any official leadership position.This 36 changed when I received an email from Ms Griffith, my cluster dean (宿舍楼主任), 37 that a new female DC Rep was needed. DC Rep 38 Discipline Committee Rep resentative. 39 students living in school break serious rules, like taking drugs, getting drunk or cheating in their studies. Such students must be punished(惩罚). The punishments are 40 by a DC Rep, two student representatives(代表) and the cluster dean. I was really interested in becoming DC Rep for my cluster, Pine Knoll, 41 so were five other students. We had to hold an election and Ms Griffith asked us to write 42 to be sent to everyone in Pine Knoll.I thought hard about what to 43 . I didn’t want to make any promises, because they are difficult to keep. I did n’t want to say I was experienced, because I was not. So I started my speech by explaining 44 I wanted to become DC Rep. “I want to serve Pine Knoll.” I wrote 45 .I made three posters that said “Vote For Teresa” and put them on every exit of my cluster so that people would 46 my name when they went to vote.Although I tried hard, I didn’t win the election(选举). I was disappointed, but my positive nature did not allow me to 47 for very long. I actually 48 when my friends trie d to comfort me. “Teresa, I am sorry that you didn’t win the election,” they would say.“No, don’t be sorry for me. I am very happy to have taken part in the election,”I said.It is true that the process is much more important than the 49 . I am surprised and happy to discover my hidden 50 .36.A.school B.situationC.time D.life37.A.explaining B.writingC.saying D.talking38.A.stands for B.asks for C.calls for D.looks for39.A.Usually B.SeldomC.Often D.Sometimes40.A.carried B.givenC.made D.decided41.A.or B.thoughC.but D.and42.A.speeches B.articlesC.compositions D.introductions43.A.write B.prepareC.answer D.give44.A.how B.whetherC.when D.why45.A.carefully B.easilyC.rudely D.honestly46.A.recognize B.rememberC.forget D.mind47.A.put down B.look down C.feel down D.lie down48.A.smiled B.criedC.laughed D.shouted49.A.result B.aimC.reason D.study50.A.strength B.courageC.way D.skill四、阅读理解(共15小题;每小题2分,计30分)阅读下列内容,从每小题所给的四个选项中选出一个最佳答案.AHORSE RACING ALL YEAR ROUND Races Start at 3 p.m. Every Sunday City Sports CenterLots of Free Parking SpaceFree presentsNo children allowed100 YEARS OF PICTURESTHEN AND NOW(Photo Show)See the Tianjin History From 1900-2000February 1--- April 30City Art Museum, 750 High StreetTuesday to Sunday 10 a.m. – 5 p.m.WEEKEND SALESThis Saturday 2-6 p.m. EVERYTHING 20%-40% OFFVisit Us at Block Grandview Mall Realize Your DreamsSave Time and MoneyFall in Love with Prices We OfferDANCE PARTYCELEBRATE A SPECIAL DATEBringing Your Sweet HeartSUNDAY NIGHT, COUNTRY CLUBLive Band(乐队) from 9 p.m. – 1 a.m.$ 25 A Couple(夫妇)$ 15 A Single(单个的) PersonA. Go shoppingB. Go to see a photo showC. Go to the dance party with your sweet heartD. Go to watch the horse racing52. How much will Mr. and Mrs. Smith pay if they want to go to the dance party?A. 15 dollarsB.25 dollarsC.30 dollarsD.For free53. Where can you see the article above?A. In a fashion magazineB. In a tour guideC. In a newspaperD. In a sports adBOn the way back from work every evening, more often than not(往往) there would be a homeless man standing at the exit of the freeway (快车道). He looked to be in his late 40s but was probably a lot younger. He had shoulder length straight black hair and a short beard.Every day after work I would remember to gather any spare change, and put it aside to give him if I saw him. A feeling of joy would come over me every time I saw him, while coming off the ramp(坡道). So did he. Sometimes the red light would be on for a minute and we would ask each other about our day. His answer would always be the same, “I’m blessed!”Then one day I was called into my boss’s office and was told that I was being laid off(解雇). For the rest of that day all I could think of was “how am I going to provide for my kids as a mother, how am I going to pay rent?”It is clear that on my way home that day I was very sad and upset. I didn’t remember to look for my spare change and keep it ready like I usually did. Yet there he was as always, as I turned the ramp. He set his eyes on me, while still smiling and waving at others as usual.While I was waiting for the red light to turn, he strolled (闲逛) over to my car. He had a big smile. He looked at me straight in the eyes and said, “Today I will give you a dollar.” He then reached into his pocket an d pulled out a dollar bill.You see that day he taught me a valuable lesson more than a dollar bill. No matter what material things are taken from you, no one can take away your choice to be joyful. Every time I’m faced with challenges, I think of the homeless man’s valuable lesson and remember that I am blessed.54. Why did the writer feel sad and upset after out of the boss’s office?A. Because she was criticized by the boss.B. Because a new job was offered to her.C. Because she was laid off by the boss.D. Because there was something wrong with her job.55. What is NOT true about the homeless man from the passage?A. He would be seen at the exit of the freeway.B. He usually smiled and waved at others.C. He had a deep impression on the writer.D. He felt joyful only when money was offered to him.56. The homeless man gave the writer a dollar because .A. he had collected a lot of moneyB. he wanted to pay her backC. he knew what she experiencedD. he wanted her to be happy57. The writer learned from the story that .A. a dollar bill will be enough to make you happyB. each of us has been blessed all the timeC. whenever it is, we should choose to help othersD. it is more than material things that bring us happinessCWhen Christie Andrews was born, she weighed less that half of one kilogram. Her heart was the size of a large coin. Her mother said Christie was so small that she could hold her in the palm of one hand.Christie couldn’t breathe without a machine to give her oxygen. If she had been born 20 years earlier, she would probably have died at once. She needed two operations, but she survived without serious damage.Twenty years ago , 90% of all premature(早产) babies died. Today, doctors manage to save four out of every five, because they have better machines for breathing and better ways to feed the babies.But saving Christie’s life cost more than $ 400,000. In some cases, doctors spend 1 million dollars saving a single child. The parents usually don’t have enough money to pay. The government, an insurance company or the hospital picks up the bill. Even after a baby goes home from the hospital, it may require medical care. Some people think it makes more sense to spend mo ney saving 10 adults who have cancer or other diseases than saving one small baby. But nobody wants to be the doctor who has to tell parents to their faces, “Sorry, I won’t save your new child.”58. Parents don’t pay their babies’ hospital bills because .A. they don’t have enough moneyB. they would rather save cancer patientsC. doctors don’t care if the babies dieD. it makes more sense to havea bigger baby59. The true cost of saving a baby may be even more than 1 million because .A. oxygen machine are expensiveB. the baby may require medical care after it leaves the hospitalC. doctors always charge more than they shouldD. four out of five premature babies can now be saved60. From the story we know that saving a cancer patient .A. is easier than saving a babyB. is harder than saving a babyC. is cheaper than saving a babyD. is more common than saving ababy61. The main idea of the article is .A. doctors must never decide whether to save babies or cancer patientsB. doctors are able to save premature babies, but the cost is very highC. having a premature baby was cheaper and safer 20 years agoD. Christie survived because the hospital paid her billsDScientists are placing robotic dogs in the homes of lonely old people to test whethe r they can improve the quality of life for humans. Alan Beck, an expert(专家) in human-animal relationship, and Nancy Edwards, a professor of nursing, are leading the animal-assisted study on the effect of robotic dogs on old people’s depression (沮丧) , physical activity, and life satisfaction.In the study, the robot, called AIBO, is placed for six weeks in the houses of some old people who live alone. Before placing AIBO in the home, scientists will collect baseline data(数据) for six weeks. These old people will keep a diary to note their feelings and activity before and after AIBO. Then, the scientists will review the data to test if it has produced any changes in the life of its owner.“I talk to him all the time, and he responds to my voice,” says a seventy-year-old lady. “When I’m watching TV, he’ll stay in my arms until he wants down. He has his own mind.”The AIBOs respond to certain orders. The scientists say they have some advantages over live dogs, especially for old people. Often the elderly are disabled and cannot care for an animal by walking it or playing with it. A robotic dog removes exercise and feeding concerns.“At the beginning, it was believed that no one would relate(与……相关) to the robotic dog, because it was metal and not furry.” Beck says. “Hopefully, down the road, these robotic pets could become a more-valuable health helper. They will record their masters’ blood pressure, oxygen levels or heart rhythms(心律). AIBOs may even one day have games that can help stimulate(刺激) older people’s minds.”62. The purpose of Beck and Edwards’ study is to _____________.A. understand human-animal relationshipB. make lonely old people’s life betterC. find the causes of old people’s lonelinessD. improve the animal-assisted research63. In the research, the old people are asked to _____________.A. note the activities of AIBOsB. keep AIBOs at home for 12 weeksC. record their feelings and activityD. study the collected information64. What does the underlined word “removes” mean?A. moves againB. is movableC. doesn’t needD. need65. The writer seems to suggest that the future robotic dogs may__________.A. cure certain d iseasesB. keep old people activeC. change people’s ideasD. look more like real dogs第Ⅱ卷(60分)五、词汇运用(共10小题;每小题1分,计10分根据句子意思,用括号中所给汉语提示或英语单词的适当形式填空,在答案卡标有题号的横线上,写出空缺处所填单词的正确形式。
2020届九年级《新题速递·数学》5月第01期(考点10-12)
2020届九年级《新题速递·数学》考点10-12考点10四边形 P1 考点11圆 P13 考点12图形的变化 P33考点10 四边形 1.【2020年陕西省西安市益新中学中考数学二模试题】如图,矩形ABCD 中,AB 3=,BC 4=,EB//DF 且BE 与DF 之间的距离为3,则AE 的长是( )B. 38C. 78D. 58【答案】C【解析】【分析】 如图,过点D 作DG BE ⊥,垂足为G ,则GD 3=,首先证明AEB V ≌GED V,由全等三角形的性质可得到AE EG =,设AE EG x ==,则ED 4x =-,在Rt DEG V 中依据勾股定理列方程求解即可.【详解】如图所示:过点D 作DG BE ⊥,垂足为G ,则GD 3=,A G ∠∠=Q ,AEB GED ∠∠=,AB GD 3==,AEB ∴V ≌GED V,AE EG ∴=,设AE EG x ==,则ED 4x =-,在Rt DEG V 中,222ED GE GD =+,222x 3(4x)+=-,解得:7x 8=, 故选C .【点睛】本题考查了矩形的性质、勾股定理的应用、全等三角形的判定与性质,依据题意列出关于x 的方程是解题的关键.2.【四川省巴中市2020届九年级5月模拟考试数学试题】【答案】33.【福建省漳州市双十学校2019_2020学年九年级线上教学阶段考试数学测试题】如图,平行四边形ABCD 的周长是22,△ABC 的周长是17,则AC 的长为___________.【答案】2【解析】【分析】根据平行四边形的性质,得出AD+DC=11,然后根据题意,即可得出AC 的长.【详解】解:∵平行四边形ABCD 的周长是22,∴AD+DC=11,∵△ABC 的周长是17,∴AC=17-11=6,故答案为:6.【点睛】本题主要考查了平行四边形的性质,关键是根据平行四边形的周长正确求出AD+DC 的长度.4.【2020年陕西省西安市益新中学中考数学二模试题】如图,已知正方形ABCD 的边长为8,点E 是正方形内部一点,连接BE ,CE ,且∠ABE =∠BCE ,点P是AB边上一动点,连接PD,PE,则PD+PE的长度最小值为_____.【答案】4.【解析】【分析】根据正方形的性质得到∠ABC=90°,推出∠BEC=90°,得到点E在以BC为直径的半圆上移动,如图,设BC的中点为O,作正方形ABCD关于直线AB对称的正方形AFGB,则点D的对应点是F,连接FO交AB于P,交⊙O于E,则线段EF的长即为PD+PE的长度最小值,根据勾股定理即可得到结论.【详解】解:∵四边形ABCD是正方形,∴∠ABC=90°,∴∠ABE+∠CBE=90°,∵∠ABE=∠BCE,∴∠BCE+∠CBE=90°,∴∠BEC=90°,∴点E在以BC为直径的半圆上移动,如图,设BC的中点为O,作正方形ABCD关于直线AB对称的正方形AFGB,则点D的对应点是F,连接FO交AB于P,交半圆O于E,则线段EF的长即为PD+PE的长度最小值,OE=4,∵∠G=90°,FG=BG=AB=8,∴OG=12,∴OF∴EF=4,∴PD+PE的长度最小值为4,故答案为:4.【点睛】本题考查了正方形的性质和勾股定理,构直角三角形是解题的关键.5.【2020年陕西省西安市碑林区西北工业大学附属中学中考数学四模试题】如图,在正方形ABCD中,AB=4,E是BC边的中点,F是CD边上的一点,且DF=1.若M、N 分别是线段AD、AE上的动点,则MN+MF的最小值为________.【解析】【分析】作点F关于AD的对称点G,过点G作GN⊥AE于点N,交AD于点M,可证得MG=MF,△MDG ≌△MDF,DF=DG=1 ,可推出MN+MF=NG,根据垂线段最短,可知此时MN+MF的最小值就是NG的长;利用正方形的性质,可求出BE的长,同时可以推出∠B=∠ANM=∠FDM,∠AMN=∠BAE=∠FMD,再利用有两组对应角相等的三角形相似,可证得△ABE∽△MNA∽△FMD,然后利用相似三角形的性质及勾股定理就可求出MN,MG的长,由此看求出NG的长.【详解】作点F关于AD的对称点G,过点G作GN⊥AE于点N,交AD于点M,∴MG=MF ,△MDG ≌△MDF ,DF=DG=1∴∠GMD=∠DMF∴MN+MF=MN+MG=NG根据垂线段最短,可知此时MN+MF 的最小值就是NG 的长.∵正方形BCD ,点E 是BC 的中点∴BE=12BC=12AB=2 ∴∠B=∠ANM=∠FDM=90°,∠BAE+∠MAN=90°,∵∠AMN+∠MAN=90°,∴∠AMN=∠BAE ,∵∠AMN=∠DMG∴∠AMN=∠BAE=∠FMD∴△ABE ∽△MNA ∽△FMD ∴AB MD BE DF =即421MD = 解之:MD=2,∴AM=AD -MD=4-2=2 ∴2AB MN BE AN== 设AN=x ,则MN=2x∴AN 2+MN 2=AM 2,∴x 2+4x 2=4解之:∴;在Rt △MDG 中,=∴=故答案为:5. 【点睛】本题考查了轴对称−最短距离问题,相似三角形的判定和性质,正确的确定M ,N 的位置是解题的关键.6.【四川省巴中市2020届九年级5月模拟考试数学试题】【答案】7.【2020年河南省新乡市中考数学评价测试题】如图,在正方形ABCD 中,AB =E ,F 分别为BC ,AD 上的点,过点E ,F 的直线将正方形ABCD 的面积分为相等的两部分,过点A 作AG EF ⊥于点G ,连接DG ,则线段DG 的最小值为______.【答案】2【解析】【分析】连接AC ,BD 交于O ,得到EF 过点O ,推出点G 在以AO 为直径的半圆弧上,设AO 的中点为M ,连接DM 交半圆弧于G ,则此时,DG 最小,根据正方形的性质得到AC 8=,AC BD ⊥,根据勾股定理即可得到结论.【详解】解:连接AC ,BD 交于O ,Q 过点E 、F 的直线将正方形ABCD 的面积分为相等的两部分,EF ∴过点O ,AG EF ⊥Q ,AGO 90∠∴=︒,∴点G 在以AO 为直径的半圆弧上,则AM OM GM 2===设AO 的中点为M ,连接DM 交半圆弧于G ,则此时,DG 最小,Q四边形ABCD 是正方形,AB =AC 8∴=,AC BD ⊥,1AO OD AC 42∴===, 1AM OM AO 22∴===,DM ∴==,∴DG DM GM 2=-=故答案为:2.【点睛】本题考查了正方形的性质,勾股定理,圆周角定理,正确地作出辅助线是解题的关键. 8.【2020年福建省福州市一中中考数学一模试卷(5月)】如图,点B 、E 、C 、F 在一条直线上,AB =DF ,AC =DE ,BE =FC .(1)求证:△ABC ≌△DFE ;(2)连接AF 、BD ,求证:四边形ABDF 是平行四边形.证明:(1)∵BE =FC ,∴BC =EF ,在△ABC 和△DFE 中,,∴△ABC≌△DFE(SSS);(2)解:如图所示:由(1)知△ABC≌△DFE,∴∠ABC=∠DFE,∴AB∥DF,∵AB=DF,∴四边形ABDF是平行四边形.9.【2020年陕西省西安市碑林区西北工业大学附属中学中考数学四模试题】如图,菱形ABCD中,点E是边AD上一点,延长AB至点F,使BF=AE,连结BE,CF.求证:BE=CF.【答案】证明见解析【解析】【分析】由菱形的性质得出AD∥BC,AB=BC,得出∠A=∠CBF,证明△ABE≌△BCF(SAS),即可得出BE=CF.【详解】解:∵四边形ABCD是菱形,∴AD∥BC,AB=BC,∴∠A=∠CBF.在△ABE和△BCF中,∵AE=BF,∠A=∠CBF,AB=BC,∴△ABE≌△BCF(SAS),∴BE=CF.点睛:本题考查了菱形的性质、平行线的性质、全等三角形的判定与性质;熟练掌握菱形的性质,证明三角形全等是解决问题的关键.10.【2020年陕西省西安市益新中学中考数学二模试题】如图,在Rt△ABC中,∠ACB=90°,CD是AB边上的中线,过点B作BE∥CD,过点C作CE∥AB,BE,CE相交于点E.求证:四边形BDCE是菱形.【答案】见解析【解析】【分析】先证四边形BDCE是平行四边形,再证CD=BD,即可证明是菱形.【详解】证明:∵BE∥CD,CE∥AB,∴四边形BDCE是平行四边形,∵∠ACB=90°,CD是AB边上的中线,∴CD=BD,∴平行四边形BDCE是菱形.【点睛】本题是对菱形判定的考查,熟练掌握菱形的判定是解决本题的关键.11.【江苏省扬州中学教育集团树人学校2020届九年级5月模拟数学试题】如图,矩形ABCD中,∠ABD、∠CDB的平分线BE、DF分别交边AD、BC于点E、F.(1)求证:(1)△AEB≌△CFD;(2)当∠ABE= 度时,四边形BEDF是菱形.【解析】(1)∵四边形ABCD是矩形,∴AB∥DC,∴∠ABD=∠CDB,∵BE平分∠ABD、DF平分∠BDC,∴∠EBD=12∠ABD,∠FDB=12∠BDC,∴∠EBA=∠FDC,又∵AD∥BC,∠A =∠C, AB=DC ∴△AEB≌△CFD;(2)当∠ABE=30°时,四边形BEDF是菱形. 12.【江苏省徐州市2020年中考模拟试卷数学试题A】【解析】13.【2020年陕西省西安市碑林区西北工业大学附属中学中考数学四模试题】问题提出(1)如图①,在△ABC中,BC=6,D为BC上一点,AD=4,则△ABC面积的最大值是.问题探究(2)如图②,已知矩形ABCD的周长为12,求矩形ABCD面积的最大值.问题解决(3)如图③,△ABC是葛叔叔家的菜地示意图,其中AB=30米,BC=40米,AC=50米,现在他想利用周边地的情况,把原来的三角形地拓展成符合条件的面积尽可能大、周长尽可能长的四边形地,用来建鱼塘.已知葛叔叔欲建的鱼塘是四边形ABCD,且满足∠ADC=60°.你认为葛叔叔的想法能否实现?若能,求出这个四边形鱼塘周长的最大值;若不能,请说明理由.【答案】(1)12;(2)9;(3)能实现;170(米).【解析】【分析】(1)当AD⊥BC时,△ABC的面积最大.(2)由题意矩形邻边之和为6,设矩形的一边为m,另一边为6﹣m,可得S=m(6﹣m)=﹣(m ﹣3)2+9,利用二次函数的性质解决问题即可.(3)由题意,AC=100,∠ADC=60°,即点D在优弧ADC上运动,当点D运动到优弧ADC的中点时,四边形鱼塘面积和周长达到最大值,此时△ACD为等边三角形,计算出△ADC的面积和AD 的长即可得出这个四边形鱼塘面积和周长的最大值.【详解】(1)如图①中,∵BC=6,AD=4,∴当AD⊥BC时,△ABC的面积最大,最大值=12×6×4=12.故答案为12.(2)∵矩形的周长为12,∴邻边之和为6,设矩形的一边为m,另一边为6﹣m,∴S=m(6﹣m)=﹣(m﹣3)2+9,∵﹣1<0,∴m=3时,S有最大值,最大值为9.(3)如图③中,∵AC=50米,AB=40米,BC=30米,∴AC2=AB2+BC2∴∠ABC=90°,作△AOC,使得∠AOC=120°,OA=OC,以O为圆心,OA长为半径画⊙O,∵∠ADC=60°,∴点D在优弧ADC上运动,当点D是优弧ADC的中点时,四边形ABCD面积取得最大值,设D′是优弧ADC上任意一点,连接AD′,CD′,延长CD′到F,使得D′F=D′A,连接AF,则∠AFC=30°=12∠ADC,∴点F在D为圆心DA为半径的圆上,∴DF=DA,∵DF+DC≥CF,∴DA+DC≥D′A+D′C,∴DA+DC+AC≥D′A+D′C+AC,∴此时四边形ADCB的周长最大,最大值=40+30+50+50=170(米).答:这个四边形鱼塘周长的最大值为170(米).【点睛】本题主要是最大值的考查,求最大值,常用方法为:(1)利用平方为非负的性质求解;(2)利用三角形两边之和大于第三边求解,在求解过程中,关键在与将要求解的线段集中到一个三角形中.考点11圆1.【2020年福建省福州市一中中考数学一模试卷(5月)】如图,△ABC内接于⊙O,∠BAC=120°,AB=AC=4,BD为⊙O的直径,则BD等于()A .4B .6C .8D .12解:∵∠BAC=120°,AB=AC=4∴∠C=∠ABC=30°∴∠D=30°∵BD 是直径∴∠BAD=90°∴BD=2AB=8.故选:C .2.【2020年陕西省西安交通大学附属中学中考数学四模试题】如图,半径为5的⊙O 中,CD 是⊙O 的直径,弦AB ⊥CD 于E ,AB =8,F 是»BD上一点,连接AF ,DF ,则tan ∠F 的值为( )A. 58B. 45C.D. 2【答案】D【解析】【分析】连接OB 、BD ,如图,根据垂径定理得到AE=BE=4,则利用勾股定理可计算出OE=3,接着在Rt△BDE 中根据正切的定义得到tan ∠DBE=2,然后根据圆周角定理即可得到tan ∠F 的值.【详解】连接OB 、BD ,如图,△CD 是△O 的直径,弦AB △CD ,△AE =BE =12AB =4,在Rt△OBE 中,OE 3,在Rt△BDE 中,tan△DBE =DE BE =354+=2, △△F =△ABD ,△tan△F =2.故选:D .【点睛】本题考查了圆周角定理:在同圆或等圆中,同弧或等弧所对的圆周角相等,都等于这条弧所对的圆心角的一半.也考查了垂径定理和勾股定理.3.【2020年河南省新乡市中考数学评价测试题】如图,AC BC ⊥,8AC BC ==,以BC 为直径作半圆,圆心为点O ;以点C 为圆心,BC 为半径作»AB ,过点O 作AC 的平行线交两弧于点D 、E ,则图中阴影部分的面积是( )A. 203π-B. 203π+C. 203πD. 203π 【答案】A【解析】【分析】如图,连接CE .图中S 阴影=S 扇形BCE −S 扇形BOD −S △OCE .根据已知条件易求得OB =OC =OD =4,BC=CE =8,∠ECB =60°,OE =,所以由扇形面积公式、三角形面积公式进行解答即可. 详解】解:如图,连接CE .∵AC ⊥BC ,AC =BC =8,以BC 为直径作半圆,圆心为点O ;以点C 为圆心,BC 为半径作弧AB , ∴∠ACB =90°,OB =OC =OD =4,BC =CE =8.又∵OE ∥AC ,∴∠ACB =∠COE =90°.∴在Rt △OEC 中,OC =4,CE =8,∴∠CEO =30°,∠ECB =60°,OE =∴S 阴影=S 扇形BCE −S 扇形BOD −S △OCE=2260811-4-436042ππ⨯⨯⨯⨯=203π故选:A .【点睛】本题考查了扇形面积的计算.不规则图形的面积一定要注意分割成规则图形的面积进行计算.4.【四川省巴中市2020届九年级5月模拟考试数学试题】【答案】D5.【2020年陕西省西安市碑林区西北工业大学附属中学中考数学四模试题】如图,在⊙O 中,弦AB 垂直平分半径OC ,垂足为D .若点P 是⊙O 上异于点A ,B 的任意一点,则∠APB=( )A. 30°或60°B. 60°或150°C. 30°或150°D. 60°或120°【答案】D【解析】【分析】利用垂径定理及已知可得到∠OAD=30°,再求出∠AOB的度数,再分情况讨论:当点P在优弧AB 上时,利用圆周角定理就可取出∠P的度数;当点P在劣弧上时,利用圆内接四边形的对角互补,就可求出∠AP1B的度数.【详解】连接OA,OB,∵弦AB垂直平分半径OC∴OD=12 OA,∴∠OAD=30°,∵OA=OB∴∠OAB=∠OBA=30°,∴∠AOB=180°-∠OAB-∠OBA=180°-30°-30°=120°;当点P在优弧AB上时∠APB=12∠AOB=12×120°=60°;当点P在劣弧上时,∠APB+∠AP1B=180°∴∠AP 1B=180°-60°=120°.∴∠APB=120°或60°.故答案为:D .【点睛】此题考查了垂径定理,以及圆周角定理,熟练掌握垂径定理是解本题的关键.6.【2020年陕西省西安市益新中学中考数学二模试题】如图,已知o OBA 20∠=,且OC=AC 则∠BOC 的度数是( )A. 70°B. 80°C. 40°D. 60°【答案】B【解析】【分析】 先根据等腰三角形得出OAB ∠的度数,再证的AOC ∆是等边三角形,最后根据圆周角定理求解即可.【详解】连接OA ,∵o OBA 20∠=,OB OA =∴o OAB=OBA 20∠∠=∵AC OC =且OC OA =∴AOC ∆是等边三角形∴6OA 0C ∠=︒∴BA OA OAB 60204=0C C =-︒-∠︒=∠∠︒∴=2=80BOC BAC ∠∠︒故选B.【点睛】本题主要考查了等腰三角形的性质,等边三角形的判定及性质,圆周角定理,正确作出辅∆是等边三角形是解本题的关键.助线证出AOC7.【四川省巴中市2020届九年级5月模拟考试数学试题】【答案】8.【江苏省扬州中学教育集团树人学校2020届九年级5月模拟数学试题】如图,圆锥的底面半径r为6cm,高h为8cm,则圆锥的侧面积为__________.60【答案】π9.【2020年江苏省常州市中考数学5月模拟试题】如图,AB与⊙O相切于点B,AO的延长线交⊙O于点C,连结BC.若∠A=36°,则∠C=______.【答案】27o【解析】【详解】解:设AC与⊙O的另一交点为D,连接BD,则∠DBC=90°,设∠C=x,则∠ABD=x,∠BDC=∠A+∠DBA=36°+x;∵∠CDB+∠C=90°,∴36°+x+x=90°,解得x=27°10.【2020年福建省福州市一中中考数学一模试卷(5月)】如图,在半径为2,圆心角为90°的扇形ACB内,以BC为直径作半圆,交弦AB于点D,连接CD,则阴影部分的面积为(结果保留π).解:在Rt△ACB中,∵AC=BC=2,∴AB==2,∵BC是半圆的直径,∴∠CDB=90°,在等腰Rt△ACB中,∵CD垂直平分AB,CD=BD=,∴D为半圆的中点,S阴影部分=S扇形ACB﹣S△ADC=π×22﹣×()2=π﹣1.故答案为:π﹣1.11.【2020年吉林省长春市中考第一次(5月)模拟数学试题】解:(1)如图,连结OD.∵⊙O 与边BC 相切于点D ,∴OD ⊥BC ,∴∠ODB =90°.∵∠C =90°,∴∠C =∠ODB =90°.∴OD ∥AC .∴∠CAD =∠ODA .∵OA =OD ,∴∠OAD =∠ODA .∴∠OAD =∠CAD . ∴AD 平分∠BAC .(2)如图,连结OF .∵AD 平分∠BAC ,且∠CAD =25°,∴50CAB ∠=︒∴∠EOF =100°.∴»EF 的长为10051809⨯π=π.12.【四川省巴中市2020届九年级5月模拟考试数学试题】【解析】13.【江苏省扬州中学教育集团树人学校2020届九年级5月模拟数学试题】如图,四边形ABCD中,AD∥BC,AE⊥BC于E,∠ADC的平分线交AE于点O,以点O为圆心, OA为半径的圆经过点B,交BC于另一点F.(1)求证:CD与⊙O相切;(2)若BF=24,OE=5,求tan∠ABC的值.【解析】(1)过点O作OG⊥DC垂足为G ∴AD∥BC, AE⊥BC于E ∴AO⊥AD,∴∠OAD=∠OGD=90O, △AOD和△ODG中, DF平分∠BDC,∠OAD=∠OGD, ∠ADO=∠GDO, OD=OD,∴△AEB≌△CFD,∴OA=OG, ∴CD与Oe相切.(2)如图所示:连接OF.∵OA⊥BC,∴BE=EF=12BF=12.在Rt△OEF中,OE=5,EF=12,∴.∴AE=OA+OE=13+5=18.∴tan∠ABC=AEBE=32.14.【福建省漳州市双十学校2019_2020学年九年级线上教学阶段考试数学测试题】如图,AB是⊙O的直径,C是⊙O上一点,D是»AC的中点,E为OD延长线上一点,且∠CAE=2∠C,AC与BD交于点H,与OE交于点F.(1)求证:AE是⊙O的切线;(2)若DH=9,tan C=34,求直径AB的长.【答案】(1)AE是e O的切线.(2)AB=20.【解析】【分析】(1)根据题意可知OA=OC,然后根据三线合一,可得OE⊥AC,最后根据圆周角定理,进而作出证明即可.(2)根据锐角三角函数,求出HF的长,然后根据相似三角形的判定,证明△DFH∽△CFD,接着根据相似三角形的性质,可求出AF、CF的长,进而用勾股定理即可求解.【详解】(1)连接OC∵D是»AC的中点,∴∠AOD=∠COD∵OA=OC∴OE⊥AC∴∠AFE=90°∴∠E+∠EAF=90°∵∠AOE=2∠C,∠CAE=2∠C ∴∠CAE=∠AOE∴∠E+∠AOE=90°∴∠EAO=90°∴AE是e O的切线. (2)∵∠C=∠B∵OD=OB∴∠B=∠ODB∴∠ODB=∠C∴sinC=sin∠ODB=HF HF3== DH95∴HF=27 5由勾股定理得:DF=36 5∵∠C=∠FDH,∠DFH=∠CFD ∴△DFH∽△CFD∴DF FH= CF DF∴CF=48 5∴AF=CF=48 5设OA=OD=x∴OF=x-36 5∵AF2+OF2=OA2∴222 4836x=x 55⎛⎫⎛⎫+-⎪ ⎪⎝⎭⎝⎭解得x=10∴OA=10∴AB=20.【点睛】本题主要考查了相似三角形的判定和性质以及锐角三角函数、圆的切线和基本性质,熟练掌握相关性质是解题的关键.15.【2020年陕西省西安市碑林区西北工业大学附属中学中考数学四模试题】如图,已知⊙O的半径为5,△ABC是⊙O的内接三角形,AB=8,.过点B作⊙O的切线BD,过点A作AD⊥BD,垂足为D.(1)求证:∠BAD+∠C=90°(2)求线段AD的长.【答案】(1)证明见解析;(2)325.【解析】【分析】(1)由弦切角等于同弧所对的圆周角得:∠C=∠ABD,再根据直角三角形两锐角互余得出结论;(2)作弦心距,由勾股定理得:OE=3,再证明△OEB∽△BDA,列比例式可以求AD的长.【详解】:(1)∵BD为⊙O的切线,∴∠C=∠ABD,∵AD⊥BD,∴∠ADB=90°,∴∠BAD+∠ABD=90°,∴∠C+∠BAD=90°,(2)连接OB,过O作OE⊥AB于E,∴AE=BE=12AB=4,由勾股定理得:OE3,∵BD为⊙O的切线,∴OB⊥BD,∴∠OBD=90°,∵∠ADB=90°,∴AD∥OB,∴∠DAB=∠ABO,∵∠D=∠OEB=90°,∴△OEB∽△BDA,∴BE OB AD AB=,∴458 AD=,∴AD=325;则线段AD的长为325.【点睛】本题考查了切线的性质和垂径定理、以及三角形的外接圆,是常考题型,熟练掌握切线的性质和垂径定理:圆的切线垂直于经过切点的半径.16.【2020年陕西省西安市益新中学中考数学二模试题】如图,AB是⊙O的直径,点C、E在⊙O上,∠B=2∠ACE,在BA的延长线上有一点P,使得∠P=∠BAC,弦CE交AB于点F,连接AE.(1)求证:PE是⊙O的切线;(2)若AF=2,AE=EF,求OA的长.【答案】(1)见解析;(2)OA=5【解析】【分析】(1)连接OE,根据圆周角定理得到∠AOE=∠B,根据圆周角定理得到∠ACB=90°,求得∠OEP=90°,于是得到结论;(2)根据等腰三角形的性质得到∠OAE=∠OEA,∠EAF=∠AFE,再根据相似三角形的性质即可得到结论.【详解】解:(1)连接OE,∴∠AOE=2∠ACE,∵∠B=2∠ACE,∴∠AOE=∠B,∵∠P=∠BAC,∴∠ACB=∠OEP,∵AB是⊙O的直径,∴∠ACB=90°,∴∠OEP=90°,∴PE是⊙O的切线;(2)∵OA=OE,∴∠OAE=∠OEA,∵AE=EF,∴∠EAF=∠AFE,∴∠OAE=∠OEA=∠EAF=∠AFE,∴△AEF∽△AOE,∴AE AF OA AE,∵AF=2,AE=EF,∴OA=5.【点睛】本题考查了相似三角形的判定和性质,等腰三角形的判定,切线的判定,正确的作出辅助线是解题的关键.17.【2020年福建省福州市一中中考数学一模试卷(5月)】如图,在△ABC中,AB=AC,AE是BC边上的高线,BM平分∠ABC交AE于点M,经过B,M两点的⊙O交BC于点G,交AB于点F,FB为⊙O的直径.(1)求证:AM是⊙O的切线;(2)当BE=3,cos C=时,求⊙O的半径.解:(1)连结OM.∵BM平分∠ABC∴∠1=∠2 又OM=OB∴∠2=∠3∴OM∥BC∵AE是BC边上的高线∴AE⊥BC,∴AM⊥OM∴AM是⊙O的切线(2)∵AB=AC∴∠ABC=∠C,AE⊥BC,∴E是BC中点∴EC=BE=3∵cos C==∴AC=EC=∵OM∥BC,∠AOM=∠ABE ∴△AOM∽△ABE∴又∵∠ABC=∠C∴∠AOM=∠C在Rt△AOM中cos∠AOM=cos C=,∴∴AO=AB=+OB=而AB=AC=∴=∴OM=∴⊙O的半径是18.【2020年陕西省西安交通大学附属中学中考数学四模试题】如图,AB是⊙O直径,点C在⊙O上,AD平分∠CAB,BD是⊙O的切线,AD与BC相交于点E,与⊙O相交于点F,连接BF.(1)求证:BD=BE;(2)若DE=2,BD=AE的长.【答案】(1)见解析;(2)AE=18.【解析】【分析】(1)利用圆周角定理得到∠ACB=90°,再根据切线的性质得∠ABD=90°,则∠BAD+∠D=90°,然后利用等量代换证明∠BED=∠D,从而判断BD=BE;(2)利用圆周角定理得到∠AFB=90°,则根据等腰三角形的性质DF=EF=12DE=1,再证明△DFB∽△DBA,利用相似比求出AD的长,然后计算AD-DE即可.【详解】(1)证明:△AB是△O的直径,△△ACB=90°,△△CAE+△CEA=90°,而△BED=△CEA,△△CAE+△BED=90°,△BD是△O切线,△BD△AB,△△ABD=90°,△△BAD+△D=90°,又△AF平分△CAB,△△CAE=△BAD,△△BED=△D,△BD=BE;(2)解:△AB为直径,△△AFB=90°,且BE=BD,△DF=EF=12DE=1,△△FDB=△BDA,△△DFB△△DBA,△BDDA=DFBD,△DA=20,△AE=AD﹣DE=20﹣2=18.【点睛】本题考查了切线的性质:圆的切线垂直于经过切点的半径.也考查了圆周角定理、等腰三角形的判定与性质、相似三角形的判定与性质,熟练掌握切线的性质、相似三角形的判定与性质是解答本题的关键.19.【2020年河南省新乡市中考数学评价测试题】已知,如图,AB是⊙O的直径,点C为⊙O上一点,OF⊥BD于点F,交⊙O于点D,AC与BD交于点G,点E为OC的延长线上一点,且∠OEB=∠ACD.(1)求证:BE是⊙O的切线;(2)求证:CD2=CG•CA;(3)若⊙O的半径为52,BG的长为154,求tan∠CAB.【答案】(1)见解析;(2)见解析;(3)tan∠CAB=34.【解析】【分析】(1)由∠OEB=∠ACD,∠ACD=∠ABD知∠OEB=∠ABD,由OF⊥BD知∠BFE=90°,即∠OEB +∠EBF=90°,从而得∠ABD+∠EBF=90°,据此即可得证;(2)连接AD,证△DCG∽△ACD即可得;(3)先证△CDF∽△GCF得GF CGCF CD=,再证△DCG∽△ABG得CG BGCD AB=,据此知GF BGCF AB=,由r=52,BG=154知AB=2r=5,根据tan∠CAB=tan∠ACO=GF BGCF AB=可得答案.【详解】(1)∵∠OEB=∠ACD,∠ACD=∠ABD,∴∠OEB=∠ABD,∵OF⊥BD,∴∠BFE=90°,∴∠OEB+∠EBF=90°,∴∠ABD+∠EBF=90°,即∠OBE=90°,∴BE⊥OB,∴BE是⊙O的切线;(2)连接AD,∵OF⊥BD,∴»»CD BC=,∴∠DAC=∠CDB,∵∠DCG=∠ACD,∴△DCG∽△ACD,∴CD CG AC CD=,∴CD2=AC•CG;(3)∵OA=OB,∴∠CAO=∠ACO,∵∠CDB=∠CAO,∴∠ACO=∠CDB,而∠CFD=∠GFC,∴△CDF∽△GCF,∴GF CG CF CD=,又∵∠CDB=∠CAB,∠DCA=∠DBA,∴△DCG∽△ABG,∴CG BG CD AB=,∴GF BG CF AB=,∵r=52,BG=154,∴AB=2r=5,∴tan∠CAB=tan∠ACO=GF BGCF AB==34.【点睛】本题是圆的综合问题,解题的关键是掌握圆的有关性质、相似三角形的判定与性质、圆的切线的判定等知识点.考点12 图形的变化1.【2020年陕西省西安交通大学附属中学中考数学四模试题】如图是某个几何体的表面展开图,则这个几何体是( )A. 长方体B. 三棱柱C. 三棱锥D. 四棱锥【答案】B【解析】【分析】 侧面为三个长方形,底边为三角形,故原几何体为三棱柱.【详解】观察图形可知,展开图是由三个全等的矩形,和两个全等的三角形构成,符合三棱柱的展开图特征,△这个几何体三棱柱.故选:B .【点睛】本题考查的是三棱柱的展开图,从实物出发,结合具体的问题,辨析几何体的展开图,通过结合立体图形与平面图形的转化,建立空间观念,是解决此类问题的关键.2.【2020年福建省福州市一中中考数学一模试卷(5月)】如图是由七个相同的小正方体堆成的物体,这个物体的俯视图是( )A .B .C .D .解:从上面看,下面一行第1列只有1个正方形,上面一行横排3个正方形.是故选:C.3.【四川省巴中市2020届九年级5月模拟考试数学试题】【答案】C4.【江苏省扬州中学教育集团树人学校2020届九年级5月模拟数学试题】下列图形中,既是轴对称图形又是中心对称图形的是()A.等边三角形 B.平行四边形 C.等腰直角三角形 D.正六边形【答案】D5.【2020年江苏省常州市中考数学5月模拟试题】下列汽车标志中,既是轴对称图形,又是中心对称图形的是()A. B. C. D.【答案】C【解析】【详解】A、是轴对称图形,不是中心对称图形.故错误;B、不是轴对称图形,是中心对称图形.故错误;C、是轴对称图形,也是中心对称图形.故正确;D、是轴对称图形,不是中心对称图形.故错误.故选C.考点:中心对称图形;轴对称图形.6.【2020年吉林省长春市中考第一次(5月)模拟数学试题】【答案】D7.【2020年河南省新乡市中考数学评价测试题】如图是某几何体的三视图,则该几何体的全面积等于()A. 112B. 136C. 124D. 84【答案】B【解析】试题解析:该几何体是三棱柱.如图:3=,326⨯=,全面积为:164257267247042136.2⨯⨯⨯+⨯⨯+⨯=++=故该几何体的全面积等于136.故选B.8.【2020年河南省新乡市中考数学评价测试题】如图,在▱ABCO中,A(1,2),B(5,2),将▱ABCO绕O点逆时针方向旋转90°到▱A′B′C′O的位置,则点B′的坐标是()A. (﹣2,4)B. (﹣2,5)C. (﹣1,5)D. (﹣1,4)【答案】B【解析】【分析】根据旋转的性质证明△BOD≌△B’OD’得到OD=OD’,BD=B’D’即可求出B’坐标.【详解】∵将▱ABCO绕O点逆时针方向旋转90°到▱A′B′C′O的位置,∴∠BOB’=90°∴∠BOD’+∠B’OD’=90°又∠BOD’+∠BOD=90°∴∠BOD=∠B’OD’作BD⊥x轴,B’D’⊥y轴,∴∠BDO=∠B’ D’O=90°又BO=B’O∴△BOD≌△B’OD’∴OD=OD’=5,BD=B’D’=2∴点B′的坐标是:(﹣2,5).故选:B.【点睛】此题主要考查了旋转的性质,正确掌握平全等三角形的判定是解题关键.9.【四川省巴中市2020届九年级5月模拟考试数学试题】【答案】A10.【江苏省徐州市2020年中考模拟试卷数学试题A】【答案】11.【江苏省盐城市建湖县2020届九年级第一次模拟考试数学试题】【答案】12.【2020年江苏省常州市中考数学5月模拟试题】如图,在ABC V 中,5,6AB AC BC ===,将ABC V 绕点B 逆时针旋转60︒得到',A BC 'V 连接'A C ,则'A C 的长为_______.【答案】4+【解析】【分析】连结CC′,A′C 交BC 于O 点,如图,利用旋转的性质得BC=BC′=6,∠CBC′=60°,A′B=AB=AC=A′C′=5,则可判断△BCC′为等边三角形,接着利用线段垂直平分线定理的逆定理说明A′C 垂直平分BC',则1'32BO BC ==,然后利用勾股定理计算出A′O ,CO ,即可求解. 【详解】解:连结','CC A C 交BC 于点,如图ABC ∆Q 绕点B 逆时针旋转60︒得到'''A B C ∆'6BC BC ∴==,'60CBC ︒∠=,''5,A B AB AC A C ===='BCC ∴∆为等边三角形,'CB CB ∴=而''',A B A C ='A C ∴垂直平分',B C1'32BO BC ∴== 在'Rt A OB ∆中,'4A O ==在Rt OBC ∆中,sin sin 60OC t CBO BC ︒∠==Q62OC ∴=⨯=''4A C A O OC ∴=+=+故答案为:4+【点睛】此题考查旋转的性质,等边三角形的性质,解题的关键是证明△BCC′为等边三角形和A′C ⊥BC′.13.【2020年陕西省西安交通大学附属中学中考数学四模试题】如图,将矩形ABCD 的四个角向内折起,恰好拼成一个既无缝隙又不重叠的四边形EFGH ,若EH =4,EF =5,那么线段AD 与AB 的比等于_____.【答案】4140. 【解析】【分析】先根据图形翻折的性质可得到四边形EFGH是矩形,由“AAS”可证Rt△AHE≌Rt△CFG,可得AH=CF=FN,再由勾股定理及直角三角形的面积公式求出AD,AB的长,即可求解.【详解】如图:由折叠的性质可得:△1=△2,△3=△4,AE=EM=BE,DH=HN,CF=FN,△△2+△3=90°,△△HEF=90°,同理四边形EFGH的其它内角都是90°,△四边形EFGH是矩形.△EH=FG;又△△1+△4=90°,△4+△5=90°,△△1=△5,同理△5=△7=△8,△△1=△8,△Rt△AHE△Rt△CFG(AAS),△AH=CF=FN,又△HD=HN,△AD=HF,在Rt△HEF中,EH=4,EF=5,根据勾股定理得HF AD,△S△EFH=12×EF×EH=12×HF×EM,△EM=41,△AB=2AE=2EM=41,△AD:AB=41:40=41 40,故答案为:41 40.【点睛】本题考查的是图形的翻折变换,解题过程中应注意折叠是一种对称变换,它属于轴对称,根据轴对称的性质,折叠前后图形的形状和大小不变,折叠以后的图形与原图形全等.14.【2020年江苏省常州市中考数学5月模拟试题】图l、图2分别是7×6的网格,网格中的每个小正方形的边长均为1,点A、B在小正方形的顶点上.请在网格中按照下列要求画出图形:(1)在图1中以AB为边作四边形ABCD (点C、D在小正方形的顶点上),使得四边形ABCD是中心对称图形,且△ABD为轴对称图形(画出一个即可);(2)在图2中以AB为边作四边形ABEF (点E、F在小正方形的顶点上),使得四边形ABEF中心对称图形但不是轴对称图形,且tan∠FAB=3【答案】(1)见解析;(2)见解析.【解析】【分析】(1)根据中心对称图形和轴对称图形的性质画出即可;(2)tan∠FAB=3只需把∠FAB放到直角三角形中,再根据中心对称图形的性质画出即可.【详解】(1)如图1所示:(2)如图2所示:考点:中心对称图形、轴对称图形、三角函数.。
江苏省扬州中学教育集团树人学校2013届九年级3月月考数学试卷
扬州中学教育集团树人学校九年级下学期3月月考数学试卷一.选择题(本题共8个小题,每小题3分,共24分)A .336a a a +=B .2()2a b a b +=+C .22()ab ab --=D .624a a a ÷= 2.在如图1的几何体中,它的左视图是( )3.如果a >b ,c <0,那么下列不等式成立的是() A .a +c >b +c ; B .c -a >c -b ; C . ac >bc ; D .a b c c> . 4.在下列四组点中,可以在同一个正比例函数图象上的一组点是( )A .(﹣2,﹣3),(4,﹣6)B .(﹣2,3),(4,6)C .(2,﹣3),(﹣4,6)D .(2,3),(﹣4,6)5.在数学活动课上,老师和同学们判断一个四边形门框是否为矩形,下面是某合作学习小组的4位同学拟定的方案,其中正确的是( )A .测量对角线是否相互平分B .测量两组对边是否分别相等C .测量对角线是否相等D .测量其中三个角是否都为直角6.小明在九年级进行的六次数学测验成绩如下(单位:分):76、82、91、85、84、85,则这次数学测验成绩的众数和中位数分别为( )A .91,88B .85,88C .85,85D .85,84.57.已知两圆的直径分别是4和10,圆心距为7,则这两圆的位置关系是( )A .相交B .外切C .外离D .内含8.如图2,∠MON=900,矩形ABCD 的顶点A ,B 分别在OM 、ON 上,当B 在边ON 上运动时,A 随之在边OM 上运动,矩形ABCD 的形状保持不变,其中AB=2,BC=1。
运动过程中,点D 到点O 的最大距离为( ) A . B . C . D .图1A 1B .5D .52二、填空题(本题共10个小题,每小题3分,共30分)9. ,π,﹣4,0这四个数中,最大的数是 .10.9的算术平方根是 .11.如图3,AB ∥CD ,∠ABE =66°,∠D =54°,则∠E 的度数为__________.12.若关于x 的方程220x x m --=有两个相等的实数根,则m 的值是 .13. 若甲,乙两个芭蕾舞团参加演出的女演员人数相同,平均身高相同,身高的方差分别为2S 甲=1.5,2S 乙=2.5,则 芭蕾舞团参加演出的女演员身高更整齐(填“甲”或“乙”).14.写出一个你喜欢的实数k 的值 ,使得反比例函数y = k -2 x的图象在每一个象限内,y 随x 的增大而增大.15.如图4,在四边形ABCD中,E、F分别是AB、AD的中点。
2013-2014学年江苏省扬州中学教育集团树人学校七年级下期中考试英语试卷及答案【译林牛津版】
扬州中学教育集团树人学校2013–2014学年第二学期期中考试七年级英语试卷2014.4(满分:140分;时间:110分钟)第I卷(共计80分)一、听力(共20小题;每小题1分,满分20分)第一部分听对话回答问题(计10分,每小题1分)本部分共有10道小题,每小题你将听到一段对话,选出你认为最合适的答案,每段对话听两遍。
1. How’s the weather today?2. How did David come to school this morning?.3. What is your mother?A B C4. Where did your father go last month?A. B . C.5. Where is the nearest bookshop?A. It’s next to the cinema.B. It’s behind the hospitalC. It’s behind the post office6. What will the boy do tomorrow?A. He’ll do his homework.B. He’ll go to work.C. He’ll do his housework.7. What does the man mean?A. Tom is not in.B. The woman has got a wrong number.C. He will look for Tom for her.8. What does the man want to do?A. Climb hills.B. Go fishing.C. Go shopping.9. What are they talking about?A. Buying a birthday present.B. Learning English.C. Having a birthday party.10.When is the man’s birthday?A. On April 30thB. On May 1stC. On May 2nd第二部分听对话和短文回答问题。
江苏省扬州中学教育集团树人学校2023-2024学年八年级上学期期末数学试卷
分钟;命题人:审核人:)扬州树人学校2023-2024学年第一学期期末试卷八年级数学 2024.1(满分:150分;考试时间:120一、选择题(本大题共8小题,每小题3分,共24分)1.下列各数中,( )是无理数A .B .C .0.121221222D .π2.如图,已知AB =AD .下列条件中,不能作为判定△ABC ≌△ADC 条件的是( )A .BC =DCB .∠BAC =∠DAC C .∠B =∠D =90° D .∠ACB =∠ACD3.在△ABC 中,∠A ,∠B ,∠C 的对边分别是a 、b 、c .下列条件中,可以判定△ABC 为直角三角形的是( )A .a :b :c =5:12:13B .a+b =cC .∠A +∠B =2∠CD .∠A =2∠B =3∠C4.点P 1(﹣2,y 1),点P 2(1,y 2)是一次函数y =﹣3x +b 图象上的两个点,则y 1与y 2的大小关系是( )A .y 1>y 2B .y 1=y 2C .y 1<y 2D .不能确定5.如图,在△ABC 中,按以下步骤作图:①分别以点B 和C 为圆心,以大于BC 的长为半径作弧,两弧相交于点M 和N ②作直线MN 交AC 于点D ,连接BD .若AC =6,AD =2,则BD 的长为( )A .2B .3C .4D .66.已知点P 在第四象限,且到x 轴的距离为3,到y 轴的距离为2,则点P 的坐标是( )A .(﹣2,3)B .(2,3)C .(﹣3,2)D .(2,﹣3)7.如图,直角三角形纸片ABC 中,∠ACB =90°,∠A =50°,将其沿边AB 上的中线CE 折叠,使点A 落在点A '处,则∠A 'EB 的度数为( )A .10°B .15°C .20°D .40°8.如图1,四边形ABCD中,AB∥CD,∠ADC=90°,点P从点A出发,以每秒1个单位长度的速度,按A→B→C→D的顺序在边上匀速运动,设P点的运动时间为t s,△P AD的面积为S,S关于t的函数图象如图2所示.当点P运动到BC的中点时,△P AD的面积为()A.7B.7.5C.8D.8.6二、填空题(本大题共10小题,每小题3分,共30分)9.64=.10.比较大小:175.(填“>”、“=”、“<”)11.小亮的体重为54.85kg,精确到0.1kg得到的近似值为kg.12.等腰三角形的两边为a,b,若|a﹣4|+(8﹣b)2=0,则它的周长为.13.已知点A(m,n)在函数y=3x﹣2的图象上,则3m﹣n+2022=.14.如图,在△ABC中,DE是AC的垂直平分线,AE=3cm,△ABD的周长为12cm,则△ABC的周长为cm.15.将直线y=-2x+1沿y轴平移后经过点A(2,-1),则平移后的直线表达式为.16.如图,函数y=﹣3x和y=ax+4的图象相交于点A(m,3),则不等式0<ax+4<-3x的解集为.17.如图,四边形ABCD中,∠B=60°,AB=BC,将边DA绕点D逆时针旋转60°得到线段D E,过点E作EF⊥BC,垂足为F,若EF=2,BF=3,则线段CD的长是.18.如图,在平面直角坐标系中,一次函数y=2x+4的图象分别与x轴,y轴相交于A,B两点.将直线AB绕点A逆时针旋转45°后,与y轴交于点C,则点C的坐标为.三、解答题(本大题共10小题,共96分)19.(1)计算:1-2)21(-)2(2-3−+. (2)已知:(x ﹣1)2=4,求x 的值. 20.已知y +2与x +1成正比例,且x =3时y =4.(1)求y 与x 之间的函数关系式;(2)当y =1时,求x 的值.21.如图,在平面直角坐标系中,按下列要求作图.(1)画出△ABC 关于x 轴对称的图形△A 1B 1C 1(点A 、B 、C 分别对应A 1、B 1、C 1);(2)△A 1B 1C 1的面积= ;(3)请在y 轴上找出一点P ,满足线段AP +B 1P 的值最小,画出点P 并写出P 点坐标 .22.如图,在△ABC 中,AD 是BC 边上的中线,E 是AB 边上一点,过点C 作CF ∥AB 交ED 的延长线于点F .(1)求证:△BDE ≌△CDF .(2)当AD ⊥BC ,AE =2,CF =4时,求AC 的长.23.如图是一个滑梯示意图,左边是楼梯,右边是滑道,已知滑道AC 与AE 的长度一样,滑梯的高度BC =4m ,BE=1m .求滑道AC 的长度.24.在△ABC 中,AB =AC ,直线l 经过点A ,且与BC 平行.仅用圆规和无刻度的直尺完成下列画图.(保留画图痕迹,不写作法)(1)如图①,在直线l 上画出一点P ,使得∠APC =∠ABC ;(2)如图②,在直线l 上画出所有的点Q ,使得∠AQC =∠ABC .25.直线l:y=kx+b经过点(﹣1,2)与(0,4).(1)求一次函数的解析式;(2)若直线l与x轴、y轴分别交于A、B两点,点P在y轴上,且OP=2OB,求△ABP的面积.26.小丽与爸妈在公园里荡秋千.如图,小丽坐在秋千的起始位置A处,OA与地面垂直,两脚在地面上用力一蹬,妈妈在距地面1.2m的B处接住她后用力一推,爸爸在C处接住她.若妈妈与爸爸到OA的水平距离BD,CE分别为1.8m和2.4m,∠BOC=90°,BD⊥OA于点D,CE⊥OA于点E.(1)求证:△CEO≌△ODB;(2)求秋千的起始位置A距地面的高AM.27.某公司开发出一款新的节能产品,该产品的成本价为6元/件,该产品在正式投放市场前通过代销点进行了为期一个月(30天)的试营销,售价为8元/件,工作人员对销售情况进行了跟踪记录,并将记录情况绘成图象.图中的折线ODE表示日销售量y(件)与销售时间x(天)之间的函数关系,已知线段DE表示的函数关系中,时间每增加1天,日销售量减少5件.(1)第26天的日销售量是件,日销售利润是元.(2)求y与x之间的函数关系式,并写出x的取值范围;(3)日销售利润不低于600元的天数共有多少天?试销售期间,日销售最大利润是多少元?28.如图,在平面直角坐标系xOy中,直线y=﹣x+8分别交x、y轴于点A、B,将正比例函数y=2x的图象沿y轴向下平移3个单位长度得到直线l,直线l分别交x、y轴于点C、D,交直线AB于点E.(1)直线l对应的函数表达式是,点E的坐标是;(2)在直线AB上存在点F(不与点E重合),使BF=BE,求点F的坐标;(3)在x轴上是否存在点P,使∠PDO=2∠PBO?若存在,直接写出点P的坐标;若不存在,请说明理由.。
江苏省扬州中学教育集团树人学校2023-2024学年八年级上学期期末英语试题
江苏省扬州中学教育集团树人学校2023-2024学年八年级上学期期末英语试题一、听力选择1.What time is it now?A.B.C.2.How do Ben’s parents and Ben travel?A.B.C.3.What animal will the speakers go to see first?A.B.C.4.What’s the weather like tomorrow?A.B.C.5.How often does the girl go to the sports club?A.Once a week.B.Twice a week.C.Three times a week. 6.What can we know from the dialogue?A.Jim saw the accident.B.Jim hit a tall tree.C.The motorbike hit Jim. 7.Where’s the man going?A.To the post office.B.To the library.C.To the bank.8.Who is Lucy waiting for?A.Mr. Smith.B.Mrs. Smith.C.Mr. and Mrs. Smith. 9.What do we know about the bag?A.It is too heavy.B.There are many toys in it.C.Jane can carry it. 10.Why didn’t the boy go birdwatching with his classmates yesterday?A.Because he didn’t like it.B.Because he felt sick.C.Because he visited grandpa in hospital.听一段对话,回答下列小题。
江苏省扬州中学教育集团树人学校2024-2025学年八年级上学期9月月考物理试题
江苏省扬州中学教育集团树人学校2024-2025学年八年级上学期9月月考物理试题一、单选题1.妈妈新买了一部新款折叠屏手机,虽然是新手机但待机时间却比较短,这是为什么呢?经过思考,小明认为手机的待机时间可能与屏的大小有关。
从科学探究的角度分析,小明所作的判断是科学探究中的哪个步骤()A.提出问题B.猜想与假设C.设计实验D.合作交流2.小明想知道纸飞机飞行的时间与哪些因素有关,他用相同的纸张做了两个形状相同的纸飞机,然后从同一高度,以相同的速度、不同的角度抛掷纸飞机,分别记录纸飞机在空中的飞行时间t1、t2,加以比较。
他这样做是为了验证纸飞机飞行时间与下列哪个因素的关系?()A.飞机的形状B.抛出的角度C.抛出的初始速度D.抛出时的高度3.如图所示,在条形磁铁和回形针之间插入哪个物体,回形针会掉落A.玻璃板B.铝片C.铁片D.塑料板片4.在探究了装满水的杯子里还能放多少回形针后,同学们提出放入回形针的数量可能与水的温度有关的猜想,为了验证这个猜想,课外兴趣小组的同学提出了下列四种方案,其中正确的是()A.在形状不同的两个杯子中装相同的水,观察能放入的回形针的数量B.在材料不同的两个杯子中装相同的水,观察能放入的回形针的数量C.在两个相同的杯子中装温度不同其他都相同的水,观察能放入的回形针的数量D.只要水的温度不同,其他条件无所谓,观察能放入的回形针的数量5.“马寺钟声”是洛阳的八大景之一,每当月白风清之夜,晨曦初露之时,大殿的钟声悠扬飘荡,听之使人心旷神怡。
有同学发现,停止对大钟撞击后,大钟“余音未止”,其主要原因是()A.钟停止振动B.人的听觉发生“延长”C.钟还在振动D.声的回音6.明代《询刍录》中记载“于鸢首以竹为笛,使风入竹,声如筝鸣,故名风筝”。
“声如筝鸣”的发声体主要是()A.鸢B.竹C.风D.筝7.以下与声现象有关的几个实验中,实验目的相同的是()①放在钟罩内的闹钟正在响铃,在抽取钟罩内的空气的过程中,铃声逐渐减小;①将正在发声的音叉轻轻插入水里,看到水花飞溅;①向正在播放音乐的音响纸盆中放一些碎纸,观察到碎纸不停地上下跳动;①乒乓球被发声的音叉弹开。
江苏省扬州中学教育集团树人学校2021-2021学年七年级英语12月阶段测试试题(无答案) 牛津版
扬州中学教育集团树人学校2021–2021学年第一学期阶段性练习七年级英语第Ⅰ卷(选择题80分)一、听力测试(共20小题。
每小题1分,计20分)A.听下面10段对话。
每段对话后有1个小题, 从题中所给的A、B、C三个选项中选出最佳选项。
每段对话听两遍。
A B CA B CA B CA B CB) 听对话,根据所听对话及问题选择正确答案。
听两遍。
A. In the morning.B. In the afternoon.C. In the evening.A. To clean the yard.B. To clean the car.C. To clean the house.A. Over there.B. Just here.C. Anywhere.A. Interesting.B. Exciting.C. Terrible.A. Rose and John.B. John and Mike.C. Rose and Mike.A. 10:30B. 10:25C. 10:35C)听下面几段对话,选择正确答案。
听两遍。
听下面一段材料,回答第11-12题。
A. A school teacher.B. A social worker.C. A singer.A. To go shopping with friends.B. To sing in the school show next month.C. To travel around the world and sing.听一篇短文,回答第13-15小题。
请根据内容从A、B、C三个选项中选择正确的选项,完成信息记录表。
听( )14. A. receive B. buy C. Send( )15. A. do housework B. play cards C. do shoppingD)听短文,选择正确答案。
听两遍。
( )16. Mr. White was going to _____ .A. WashingtonB. New YorkC. Paris( )17. In the story, _____ got on the wrong train.A. the porterB. Mr. WhiteC. the writer( )18. The porter looked for _____ everywhere.A. the luggageB. the windowC. Mr. White( )19. Mr. White was _____ .A. cleverB. carelessC. as foolish as the luggage( )20. The wrong train Mr. White took was going to _____ .A. LondonB. New YorkC. Washington二、单项选择(共15小题;每小题1分,计15分)在下列各题A、B、C、D四个选项中选择一个能填入题干空白处的最佳答案。
江苏省扬州中学教育集团树人学校译林牛津版七年级英语上册:unit 4 单元检测题及解析
江苏省扬州中学教育集团树人学校译林牛津版七年级英语上册:unit 4 单元检测题注意事项:1.答题前填写好自己的姓名、班级、考号等信息2.请将答案正确填写在答题卡上第I卷(选择题)一、单选题Is there hospital nearby?— No. The hospital is far. You have to go to hospital by bus.A. the; the; theB. the; the; /C. a; the; /D. a; the; the2.-_______ will you go to the zoo? -By underground.A. WhenB. WhatC. WhichD. How3.— There is a bridge _____the river. —Be careful when you ______it.A. across; overB. cross; overC. over; acrossD. over; cross4.Walk_______ this street, turn left______ the second crossing and you'll find the bank.A. past; atB. along; atC. cross; toD. to ; at5.Jim was so busy the answers from Lily’s paper that he didn’t remember her name into his.A. to copy; to changeB. to copy; changingC. copying; to changeD. copying; changing6.I know the way_________.A. to get to thereB. get to thereC. to get thereD. get there7.One of the twin brothers ___________to Shanghai next month.A. shall flyB. is going to flyC. are flyingD. are going to fly8.Shanghai is _______ the east of China and ____ the west of Japan.A. in, inB. to, toC. in, toD. to, in9.There are many buildings on one side of the road, on_____of it, there are some trees.A. another sideB. other sideC. the other sideD. the others side10.I can see a big swimming pool____________.A. on the basketball court rightB. on the right of the basketball courtC. at the basketball court rightD. at the right of the basketball court11.Who’s that man walking _________ the house?A. passedB. passC. pastD. pasted12.She never tells a lie, ________?A. does sheB. doesn’t sheC. does not sheD. isn’t it13.As the final exam is coming, the teachers are busy ___________ the test papers.A. preparingB. preparing forC. doingD. finding14.________does it take them to travel from the park to the museum?A. How oftenB. How muchC. How farD. How long15.-Excuse me, can you show me the way to the Summer Palace? -Sorry, _______.A. I have a mapB. I don't go thereC. I am new hereD. there is no bus stop here二、完型填空the other frogs saw how _____the hole was, they told the two frogs that they were as good as dead. The two frogs didn’t _____ them and tried to jump out of the hole with all their might. The other frogs kept telling them to ______. Finally, one of the frogs believed what the other frogs were saying and_____. He fell down and died. The other frog continued to jump as______ as he could. Once again, the crowd of frogs shouted at him to stop the pain and just die. He jumped even harder and _____made it out. When he got out, the other frogs said,” Didn’t you ______us?” The frog explained to them that he was____. He thought that they were______ him all the time.This story teaches us two____:1)There is power of life and death in _____. An encouraging word to someone who is_____ can lift him /her up and help him/her make it______ the day.2)A destructive(破坏性的) word to someone who is unhappy can be what it takes to _____ them. Be careful of what you say. Speak life to these who cross your path . It is sometimes _____ to understand that an encouraging word can go such a long way. Remember, anyone can say words that can encourage another person to continued his/her way in difficult times.16.A. wet B. round C. far D. deep17.A. listen to B. look forward to C. move to D. turn to18.A. leave B. jump C. try D. stop19.A. broke up B. showed up C. gave up D. looked up20.A. fast B. far C. gladly D. hard21.A. quickly B. finally C. slowly D. possibly22.A. hear B. see C. need D. know23.A. cheerful B. great C. deaf D. surprised24.A. laughing B. greeting C. frightening D. encouraging25.A. example B. lessons C. sayings D. ways26.A. lies B. stories C. words D. books27.A. down B. relaxed C. bored D. angry28.A. on B. around C. into D. through29.A. help B. kill C. surprise D. hurthard D. surprising三、阅读理解31.Sunshine Rock Band needs ______ .A. a violin playerB. a reporterC. a swimming coach(教练)D. a table tennis coach32.If you can swim very well and like children very much,you will be more interestedin the ______ advertisement(广告)A. firstB. secondC. thirdD. fourth33.If you like writing,you can call ______ for a job.A. 8472-9999B. 8665-7868C. 5561-8823D. 5487-659834.Your classmate wants to learn table tennis,so you can advise(建议) her to call ______ .A. JoeB. Mr ZhangC. KarenD. Mike35.The above ads(广告)are probably(可能)from ______ .A. a newspaperB. a story bookC. a science bookD. a history book.A man from a big city with a new cart(马车)and a beautiful pair of horses was driving along a country road . He did not give much attention to where he was going. Very soon he knew he lost his way, but he kept on driving hoping he would meet someone or find his way back.It was a long way. For many hours he kept on driving. When it was almost dark he saw a farmer who was working in a field. He stopped and shouted, “Hello, farmer!”“Hello,yourself!” the farmer answered, still working.“Where does this road go?”“I have never seen it go anywhere. It always stays where it is.”said the farmer, without stopping his work.“How far is it to the next town?”said the stranger, with a little louder voice.“I don’t know. I’ve never measured (测量) it .” Answered the farmer.By the time the city man was getting angry. “What do you know? You’re the biggest fool I’ve seen.”The farmer stopped and turned and looked for a while at the man. Then he said, “Maybe I do not know much, perhaps I’m a fool. But at least I’m not lost.”36.The city man said “Hello, farmer” because ______.A. he was friendly to everyoneB.he saw an old man in the countryC. he lost his way and he wished the farmer who would show him the wayD.he was very happy37.Did the farmer say anything to the city man?A. Yes, he did.B. We don’t know.C. No, he didn’t.D. The city man didn’t find his way.38. The farmer didn’t tell the city man the way to the next town because _____ .A. the farmer didn’t know the way, eitherB. the farmer is busy working in the fieldC. The city man asked the question rudelyD. the farmer can’t speak clearly39.Was the farmer the biggest fool?A. Yes, he was.B. No, he wasn’t.C. Yes, he is.D. We don’t know.40.. “I’m not lost” means “______”.A. I’m not a fool.B. I haven’t lost my way.C. I haven’t lost anything.D. I haven’t lost myself(题文)For years and years people have been saying that railways are dead. “We can do without railways,” people say—as if cars and planes have made railways unnecessary. We all keep hearing that trains are slow, lose money and are dying. But this is far from the truth. In these days of expensive oil, railways have become highlycompetitivewith cars and planes. If you want to carry people or goods from place to place, they’re cheaper than planes. And they have much in common with planes. A plane goes in a straight line and so does a railway. What is more, a railway takes you from the heart of a city center. It doesn’t stop you as a car does on crowded roads. And no plane or car can ever carry as many goods as one train does.Far from being dead, railways are much alive. Modern railway lines give you a comfortable journey. Where else can you eat well, sleep comfortably, feel safe and enjoy the scene while you are traveling at the same time? And we are only the beginning, for we have just entered the age of super-fast trains, which are traveling 150 miles an hour and more. Soon we will be wondering why we spent so much on highways and planes we can’t fly in because we don’t have enough money to buy the oil.41.(小题1)Some people think railways are dying because______.A. planes and cars are expensiveB. oil is expensive todayC. trains are slowD. railways look ugly42.(小题2)The writer thinks that railways are much alive because___________.A. they are cheaper and more convenientB. the re aren’t any planes or carsC. we can have a comfortable journeyD. we feel dangerous on highways43.(小题3)According to the writer, which of the following is NOT true?A. It is cheaper to travel by train than by planeB. The railway station is usually at the center of the city.C. When you get off a plane you will find yourself right in the city center.D. No car or plane can carry as many goods as a train.44.(小题4)What does the underline wordcompetitiveprefer to?A. 参与性的B. 性价比高的C. 竞争性的D. 对比性的45.(小题5)The best title for this passage may be __________.A. Which is the Best, Train, Car or Plane?B. Railways, not the End, but the BeginningC. Trains are More Competitive than Cars or PlanesD. Oh, Super-fast Trains第II卷(非选择题)四、单词拼写46.My hometown is in the _______________(南方) part of China.47.The ground is covered with the yellow _______________(树叶).48.Don’t sit on the _______________(长椅). They are not clean.49.Nobody knows where the _______________ (宝藏) was hidden.50.How many bones are there in a _______________(长颈鹿) neck?51.The girl with long _______________(直的) hair is my good friend, Kitty.52._______________(bamboo) are light because they are hollow(空心的).53.It’s very _______________(danger) to play with fire.54.Jack always makes us laugh. He is much _______________(fun) than his brothers.55.The _______________(follow) questions are too hard. I can’t answer them.五、任务型阅读Do you know who is the president of the USA now? Your answer is ‘Obama, right?’ Next, let’s have a look at his growing experience. Ten-year-old Obama was one of the only three black students at his school in Honolulu, Hawaii. The young boy didn’t look the same as most otherstudents. White girls wanted to touch his hair. A white boy asked him whether his father ate people. “I lied to them that my father was a Kenyan prince, but I kept asking myself who I was,” said Obama.However, 37 years later, the boy made history. Barack Obama became the first black president in U.S. history. Obama was born on August 4, 1961. His father is an African(非洲人) and his mother is a white American. This unusual background made him want to know who he was. With the help of his friends, Obama finally went to college. His hard work made him a star at HarvardUniversity, a famous university in Cambridge, Massachusetts. Later, he became the third black senator(议员) in U.S. history.During his competition for U.S. president, Obama talked about his background. He called for a United States of America, rathe r than a white America or a black America. Obama’s success is a historic victory(胜利). It made Martin Luther King’s dream come true. That is: A man should not be judged by the colour of his skin, but by the content of his character.六、短文填空缺词填空Elizabeth lived with her six children in a small house. One winter, there was a big flood and quite a f66.houses were washed away, but Elizabeth’s house was high e67.to escape it. Elizabeth took in one of the families which had lost everything. She s68. her home until the family could build a new house. Elizabeth’s friends could not understand w69.she wanted to give so much when she already had so many children to support.“Well,” Elizabeth e70.to her friends, “at the end of World War I, there was a poor woman in a town in Germany. Her husband had been killed in the war and she had a lot of children, just l71. me now.” “The day before Christmas, this woman said to her children, ‘We won’t be able to have much for Christmas. I’m going to get just one p72.for us all. Now I’ll go and get it.’ She came back w73.a little girl who had no parents. ‘Here’s our present, ’she said to her own children." The children were more than excited to get such a present. They w74. the little girl warmly, and sheg75.up as their sister. I was that Christmas present.”七、翻译题76.那个警察让我径直往前走。
2024年江苏省扬州市树人学校中考一模物理试题(原卷版)
扬州树人学校九年级第一次模拟考试物理试卷2024.04(总分:100分;考试时间:100分钟)一、选择题(每题2分,共24分。
)1. 关于中学生以及中学生体育运动的相关数据,下列估算符合实际的是( )A. 中学生跑完800米后体温可达到38.6℃B. 体育老师随身携带的扩音器声音约10dBC. 升国旗时,同学们完整唱完国歌的时间约为2.5分钟D. 中学生跑步的速度能达到20km/h2. 下列四幅图片与其对应的说法,正确的是( )A. 图甲摩托车的消音器是在传播过程中减弱噪声B. 图乙蝙蝠的超声导航系统已经应用在神舟系列飞船的测距、定位工作中了C. 图丙正在发声的音叉把小球反复弹开,说明发声的音叉在振动D. 图丁自制橡皮筋吉他的橡皮筋绷紧程度相同时,细的橡皮筋是低音弦3. 如图所示电路中,电源电压不变,R1为定值电阻,R2为滑动变阻器。
闭合开关S,当滑片P向左移动时下列说法正确的是( )A. 电压表示数变大B. 电流表示数变小C. 电阻R1的电功率变小D. 电压表与电流表示数的比值变小4. 关于家庭电路和安全用电,下列说法正确的是( )A. 图甲的连接方式符合安全用电的原则B. 图乙中使用试电笔时,手触碰笔尖试电笔才能正常工作C. 图丙空气开关跳闸,可能是家庭电路出现短路造成的D. 图丁接在该电能表上的用电器同时工作时总功率不能超过5. 信息、能源和材料并列为现代文明的三大支柱,以下相关说法正确的是( )A. 5G 网络即第五代无线通信技术,是通过电磁波传递信息的B. 光纤通信是依靠激光在光导纤维中多次发生折射来传递信息的C. 煤、石油、天然气都属于可再生能源D. 条形码扫描器中光敏二极管使用的材料是超导材料6. 下列与冰箱有关的热现象,解释正确的是( )A. 冰箱内壁附着的霜是水蒸气凝固形成的B. 打开冰箱冒出的“白气”是水蒸发形成的C. 冷藏室内盘中的馒头变干、变硬是水蒸气凝华导致的D. 冷藏室取出的易拉罐上的小水珠是水蒸气液化形成的7. 我国自行研制的第三艘航空母舰福建号采用了最先进的电磁弹射器。
江苏省扬州中学教育集团树人学校2021-2022学年八年级下学期期中英语试题
江苏省扬州中学教育集团树人学校2021-2022学年八年级下学期期中英语试题一、听录音选图片1.Which kind of Chinese culture is the man’s favourite?A.B.C.2.Where does Bob’s father work now?A.B.C.3.How does Jim usually go to school?A.B.C.4.How much is the blue T-shirt?A.B.C.二、听短对话选答案5.Where are the two speakers?A.At the bus stop. B.On the bus. C.In Xihui Park. 6.What can we learn about the young lady?A.She hasn’t got married.B.She has a sense of humour. C.She is very busy. 7.Why doesn’t Peter want to have pizza?A.He doesn’t like the taste of pizza.B.He likes sandwiches better. C.He thinks it’s expensive.8.What will Kate do at 3:00 this afternoon?A.Have a piano lesson. B.Play volleyball with friends. C.Have a music lesson. 9.What has the man done many times before?A.He has jumped over the gate. B.He has swum across the river. C.He has climbed the tree.10.What has happened in the woman’s hometown?A.There has been an earthquake. B.There has been a fire.C.There has been a flood.三、听长对话选答案听一段对话,回答小题。
