9B综合练习
9B练习1
( ) 1. Christopher Columbus was ______ explorer from ______ European country.
A. a; an
B. an; an
C. a; a
D. an; a
( ) 2. —What are you going to do next Sunday,Jane?
—It’s my birthday next Sunday. I hope _______ to my birthday party.
A. your come
B. you to come
C. you can came
D. you came
( ) 3. —There are several restaurants on _____ side of the street. Which restaurant would you like to go, Mr. White?
—The one next to the supermarkets over there.
A. either
B. both
C. all
D. every
( ) 4. Because of the ________ white light source(白光光源), three Japanese scientists ________ the 2014 Nobel Prize in Physics last year.
A. discover; won
B. discovery; won
C. discover; presented
D. discovery; presented
( ) 5. V olunteers team mostly _______ university and middle school students. They will mainly provide language voluntary services.
A. consists of
B. belongs to
C. thinks of
D. leads to
( ) 6. —Did you find your English dictionary yesterday?
—No, I didn’t find ________, but I’ve borrowed ______ from the school library.
A. it; it
B. it; one
C. one; it
D. one; one
( ) 7. —What can I do for you, Madam?
—I’m looking for a table for eight, but i find they have all been _________.
A. made up
B. kept up
C. taken up
D. put up
( ) 8. —Have you had your dinner yet, Mary?
—Yes, I have. My father _______ it for me.
A. was cooking
B. have cooked
C. will cook
D. cooked
( ) 9. When you talk to people, you’d better _____ to show that you are friendly to them.
A. look at them in the eyes
B. put hands on the sides
C. put your hands in your pockets
D. hold down your head
( ) 10. He _____ all his money _____ to charity after he died, and was respected by the people who know him.
A. gave; up
B. gave; in
C. gave; away
D. gave; out
( ) 11. —I want to keep in touch with Lily, but I don’t know ________.
—Sorry. Neither do I.
A. what her name is
B. what her job is
C. what her number is
D. when she left
( ) 12. —I wonder ________ without water on the earth.
—About a week.
A. how long man can live
B. how can man live
C. how soon man can live
D. how often can man love
Cling…Clang…Clank. From inside my flat, I winced (皱起眉头) at the noise my parents were making as they sorted (分
类) bottles and cans out on the balcony. I called to my 13 in Chinese, “How many
do you have this time?” “Eight hundred and six pieces, that’s $40.30!” she answered.
I’d been living in my Los A ngeles flat for over four years when my parents came for a
six-month visit from China. I’d 14 n oticed that the bottles and cans they’d
collected on the road were worth 5 cents (美分) each. When their stay with us ended, I
felt free, though I was a supporter of environmental 15 in fact.
By the time my daughter began school, I was expected to raise money for the school. I felt very stressed. How could I work out the problem? 16 , a good idea came across my mind: how about uniting (结合) the two — environmental
education and raise money? I joined an organization called LACES. It had 17 1,600 students, parents and teachers. If my two elderly parents could 18 $300 in six months from recycling (回收), why couldn’t we multiply (乘以) that number by at least 800? My team organized a day for students and parents to 19 bottles and cans directly to school. We called it the Green for Green program. The first one raised only $145. But we planned more programs. With each one, the numbers started to look 20 : $145…$400 …$481. The more success we had, the more people joined our team.
Today, LACES teachers keep boxes in their classrooms for bottles and cans. Students collect recyclables and 21 them in boxes. Parents collect at their offices. LACES parents have told me that where they used to see litter, they see 22 . Since the LACES Green for Green program started in 2011, we have raised $15,500 for the school and recycled about 75,000 pounds of waste.
I believe that our effort (努力) is followed by the others in the community, and that the result is multiplied. I used to
23 my parents’ recycling project during their visit here. Now I laugh at myself for getting the benefit (益处) from their clever ideas. They may never 24 anyone beyond their family. However, their small effort has led to big change, one that inspires (激励) family, friends, children, and even strangers.
( ) 13. A. wife B. father C. daughter D. mother
( ) 14. A. seldom B. often C. usually D. always
( ) 15. A. projectB. education C. subject D. plan
( ) 16. A. Strongly B. Unluckily C. Suddenly D. Sadly
( ) 17. A. more than B. less than C. better than D. worse than
( ) 18. A. accept B. find C. receive D. raise
( ) 19. A. give B. Bring C. save D. collect
( ) 20. A. brighter B. higher C. stronger D. wider
( ) 21. A. send B. move C. throw D. store (存放)
( ) 22. A. waste B. bottles C. money D. cans
( ) 23. A. agree with B. argue with C. laugh at D. cry at
( ) 24. A. influence B. help C. educate D. love
(A)
To me, the concept(概念) of home changes along with my age all the time.
In my childhood, home was a number of calls. It seems that I had more free time than today’s children. I didn’t have to show up in front of my parents right after school, instead I would go to play with my classmates who lived in the neighborhood. We played like mad u ntil dinner was ready and our parents called “Come back! Come home for supper!” Days passed by as I grew up in the company of those calls which are still echoing(回响) in my ears even now.
In a short while, my childhood was gone. When a thin layer of hair(胡须) began to grow around the corners of my mouth, home became a place I tried to run away from.
As I read more and more, my world opened up, larger than before me. The bed I used to sleep in became too small, and words of care from my parents began to sound meaningless. How I wished I could have a space of my own someday! Later I was joined the army and put on the green uniform. During my service days, home was the series of letters I received one after another. My most homesick moments were when I read those letters from my family.
When I got a job, I began to get “hurt”, to rise and fall in a sea of people, and to understand that you can’t share all your pains with other people, even with your best friends. So again, another wave of homesickness came over me. When I was badly hurt, I imagined myself flying home on wings. Pushing open the door, I let tears flow down my face. At that moment I felt that as large as the world was, what I needed was only the familiar smell of home and the unchanged view outside the window of my old house…
……
Although I already have much life experience behind me, I know there is still a long way ahead and my concept of home will go on developing. But already I have come to see that home is where we can find the true meaning of all the busy rush life. What makes the concept different is that sometimes it refers to a person’s home and sometimes to the home of many, many people.
( ) 25. What does the underlined word “company” mean in Chinese in Paragraph 2?
A. 公司
B. 陪伴
C. 友情
D. 氛围
( ) 26. From the passage, which of the following statements is TRUE?
A. He misses his life in his childhood.
B. He lives a happy when he studies at school.
C. He enjoys himself during his service days in the army.
D. He can share his feelings--happiness and sadness-- with his buddies.
( ) 27. From the whole passage, what will talk about in the following passage?
A.His marriage
B. Being a parent
C. His job
D. The last years of his life
( ) 28. What is the best title for the passage?
A.Missing my parents and home
B. His home he tries to run away from
C. A changing concept of home
D. A developing home
(B)
The sun has begun to set and I hang up the smile I’ve worn all day, though I will make sure it is the first thing I put bac k on the next morning just in case (以防) it is “that day.” I want her to see me at my very best.
As usual, I eat dinner, clean the house, write—the usual daily things. And then I lay down hoping to fall asleep quickly, so my new day will hurry up and arrive. A new day with a completely new sun. But as I lay there and wait for the world to turn half way around, I think about her. And sometimes I smile, and sometimes that smile will turn into a snicker(窃笑), and then often that snicker will turn into a burst of laughter.
And then there are times I get that lump(肿块) in my throat and that tight feeling in my chest, and sometimes that I can’t stand that feeling and begins to turn into a tear, and often that tear increases greatly itself and I can no longer fight the feeling and I lose the battle. Then somehow through either the joy or the sadness I drift and find myself asleep. Then the dreams begin and keep me company until my new day arrives.
When I am awake it’s with such excitement because I tell myself this cou ld be the day that every other day has led up to and the first day of the rest of my life. I quickly wear my smile because I really want her to see me at my very best. Then I look out the window because, even though I know it’s dawn, I still have to confirm I’ve been given another chance to find her.
And there it is…the sun, even when it’s cloudy; somehow I still see it. And it smiles at me and I say, “Thank you,” and I smile back.
Thank you for the sun, which began my new day. Thank you for feeling confident when I got up this morning that I would find her in this new day. But most of all, thank you for me not having to ever wait on another sunrise because whenever I want to see it, I will look at her and there it shall always be, in her eyes; she will forever hold it for me.
She is my sunrise, my dawn, my new day.
( ) 29. The first thing the writer should do is to ________________ the next morning.
A. wear a smile once again
B. forget what happened the day before
C. eat dinner and clean up the house
D. thank his life for the new day
( ) 30. From the passage, the writer wishes her angel to see him ____________.
A. when he sleeps
B. when he is dreaming
C. when he is at his best
D. when he is greatly excited
( ) 31. When the writer is awake the next morning, he is always _____________.
A. sad
B. disappointed
C. happy
D. excited
( ) 32. Why does the writer say “thank you for the sun” in the last paragraph?
A. Because the sun brings him happiness.
B. Because the sun begins his new day.
C. Because he feels confident about everything.
D. Because he can see his angel in a new day.
33. Last year, I took my first direct _______ (fly) from Shanghai to London.
34. Please devote your more time to ________ (read) English more novels, or you will fail to really improve your English.
35. Though it is very _______ (tire) to climb the Great Wall step by step, we still want to have a try and enjoy its magnificence and spectacular(宏伟与壮观).
36. Please take down the two _______ (invent) names so that we can get touch with them as soon as possible.
37. The hotels in the tourist areas are __________ (comfort), but they are quite expensive.
B）根据句意及汉语提示，写出各单词的正确形式，每空填一词。
38. Peter got his driving _________ (执照）when graduated from university last summer.
39. She told me many ___________ (优势) of living in the city, but the living cost is quite high, as we know.
40. There are many kinds of __________ (实验室) in the new building for the students.
41. There are two ________ (章节) about how to travel in Beijing, an ancient city in China, in this book.
42. As an old red army man, he _________ (经历) several fierce and brutal battles.
43. —Jane, I can’t find Mike in the playground.
—Oh. He ______ (play) the piano in the music room.
44. But at least now, I ________ (dig) deep enough to have a direction for further research.
45. Frog _______ (write) by the Chinese writer Mo Yan is popular among children.
9B练习2
( )1. Life without a dream is like a car without a . And it can’t move a singl e metre.
A. light
B. chest
C. wing
D. wheel
( )2. Many hundreds years ago, women used some metal a mirror when they dressed up.
A. for
B. with
C. as
D. of
( )3. —Weibo has become an important part of many people’s life.
— Yes. My father and my mother spend a lot of time on it .
A. everyday; every day
B. everyday; everyday
C. every day; every day
D. every day; everyday
( )4. The walking street is the busiest place in our town. There are plenty of shops on
side of it.
A. every
B. all
C. both
D. either
( )5. — Did you watch the snooker game yesterday?
— Yes, I did. Xiao Guodong is really a dark horse. Nobody him to go so far.
A. wanted
B. encouraged
C. expected
D. hoped
( )6. — What was the noise just now?
—Sorry, I didn’t see the chair beside the desk and it .
A. knocked; out
B. knocked; off
C. knocked; away
D. knocked; over
( )7. you say, I’m not interested in it.
A. However
B. Whatever
C. Wherever
D. Whenever
( )8. Look at the rubbish on the floor. The room needs right now.
A. clean
B. to clean
C. be cleaned
D. cleaning
( )9. You should spend a few minutes looking through all the new words make any spelling mistakes.
A. in order d on’t
B. not in order to
C. in order not to
D. in order not
( )10. I was caught in the rain yesterday. , I have a running nose now.
A. So that
B. As a result
C. Since then
D. Even though
( )11. When I got to the store, iPhone 6 had b een sold out. The salesmen didn’t know .
A. when were they available
B. when will they be available
C. when they would be available
D. when would they be available
( )12. — What of high school students go to college?
— About 70%.
A. percentage
B. number
C. population
D. temperature
( )13. — Shall we camp by the river for the night?
—OK. Let’s take out our tent and .
A. space suits
B. air tanks
C. sleeping bags
D. power packs
( )14. — Is y our father ______ the date of the parents’ meeting?
— I am afraid not. He is sometimes forgetful.
A. crazy about
B. surprised at
C. aware of
D. interested in
( )15. — What do you think of working in that company?
—, of course. I have to face so much competition.
A. Interesting
B. Relaxing
C. Boring
D. Challenging
( )16. The plan sounds good. But we still have some difficulty in .
A. carrying it out
B. carrying it away
C. carrying it off
D. carrying it up
( )17. Our Earth is one of planets in the solar system (太阳系).
A. the third; the eight
B. a third; the eighth
C. a third; eight
D. the third; eighth
( )18. The conditions and climate on Mars are very different from on the Earth. It is difficult for people to get used to them.
A. that
B. those
C. ones
D. which
( )19. The more you practise using the language, the you will make progress in learning it.
A. rapider
B. more rapidly
C. rapidest
D. most rapidly
( )20. Mars as well as its two moons (卫星) around the Sun once every 687 days.
A. circles
B. circle
C. has circled
D. have circled
( )21. — Would you like to take part in the cross-country race?
—I’m no t sure if I can finish the long running race. .
A. It worries me
B. I’m confident
C. It sounds cool
D. It doesn’t matter
22. The shop received over 2,000 (订单) on November 11.
23. Daniel, can you help me (寄) the letter on your way to school?
24. Every (硬币) has two sides. You ought to accept what you can’t change.
25. How (光滑的) the girl’s hair is! It looks like silk.
26. Would you please have my shirt (dry) in ten minutes? I need it for a meeting.
27. Mother needs (iron) her dress now.
28. This mobile phone has two (battery).
29. Tom (sweep) the floor alone yesterday.
30. Mr. Smith couldn’t agree with us more. He kept(nod) with a smile.
31. This type of phone (design) for the elderly. It is simple with a big screen.
32. The floor needs (sweep) twice a week.
33. The news that Wang Fei and Li Yapeng got divorced has (spread) quickly in China.
34. All the (乘客) on the plane were frightened when they heard that a bird had flown into the engine.
35. A mother is willing to take the (危险) of her own life to protect her child.
36. To make the city less (被污染的), the government (政府) has decided to close the paper factory.
37. My father works in Lenovo as a(n) (电子的) engineer.
38. What’s the (距离) from Tianjing to Beijing?
39. Pierre Curie was not only Marie Curie’s husband, but also a great (help).
40. We are certain about the result of the problem, but what caused the problem is still (known).
41. The great swimmer Sun Yang is the (proud) of not only China, but also Asia.
42. Not all of us (true) understand the importance of team work.
43. Zhai Zhigang became the first Chinese (walk) in space on September 27, 2008.
44. The children were warned (stay) away from the burning house.
45. Mission Control sent the team a message which (order) them to stop moving on.
46. Neil Armstrong (be) interested in flying for many years before he took flying lessons.
阅读对于每个人的成长都有着很大的影响，广泛的阅读有利于开拓视野，调节身心。著名作家Francis Bacon曾说过“Reading makes a full man.”。请你根据以下提示，结合自己的观点，以“Reading Makes a Full Man” 为题写一篇短文，谈谈你对阅读的看法和你的阅读计划。
注意：1．词数：90词左右，开头已经写好，不计入总词数。
2．句子结构准确，要点齐全，内容合理，篇章结构连贯。
3．表达中不得出现真实的地名、校名和人名。
Reading makes a full man
Reading is very important in our life.______________________________________ _____ ___________________________________________________________________ _ ____ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ ___________________________________________________________________ _____ ____________________________________________________________ ____________
【数学】数学圆的综合的专项培优练习题(含答案)及答案
一、圆的综合真题与模拟题分类汇编（难题易错题） 1．如图，已知△ABC中，AB=AC，∠A=30°，AB=16，以AB为直径的⊙O与BC边相交于点D，与AC交于点F，过点D作DE⊥AC于点E． （1）求证：DE是⊙O的切线； （2）求CE的长； （3）过点B作BG∥DF，交⊙O于点G，求弧BG的长． 【答案】（1）证明见解析（2）33）4π 【解析】 【分析】 （1）如图1，连接AD，OD，由AB为⊙O的直径，可得AD⊥BC，再根据AB=AC，可得BD=DC，再根据OA=OB，则可得OD∥AC，继而可得DE⊥OD，问题得证； （2）如图2，连接BF，根据已知可推导得出DE=1 2 BF，CE=EF，根据∠A=30°，AB=16，可 得BF=8，继而得DE=4，由DE为⊙O的切线，可得ED2=EF?AE，即42=CE?（16﹣CE），继而可求得CE长； （3）如图3，连接OG，连接AD，由BG∥DF，可得∠CBG=∠CDF=30°，再根据AB=AC，可推导得出∠OBG=45°，由OG=OB，可得∠OGB=45°，从而可得∠BOG=90°，根据弧长公式即可求得BG的长度. 【详解】 （1）如图1，连接AD，OD； ∵AB为⊙O的直径， ∴∠ADB=90°，即AD⊥BC， ∵AB=AC， ∴BD=DC， ∵OA=OB， ∴OD∥AC， ∵DE⊥AC， ∴DE⊥OD， ∴∠ODE=∠DEA=90°， ∴DE为⊙O的切线； （2）如图2，连接BF， ∵AB为⊙O的直径，
∴∠AFB=90°， ∴BF ∥DE ， ∵CD=BD ， ∴DE= 1 2 BF ，CE=EF ， ∵∠A=30°，AB=16， ∴BF=8， ∴DE=4， ∵DE 为⊙O 的切线， ∴ED 2=EF?AE ， ∴42=CE?（16﹣CE ）， ∴CE=8﹣43，CE=8+43（不合题意舍去）； （3）如图3，连接OG ，连接AD ， ∵BG ∥DF ， ∴∠CBG=∠CDF=30°， ∵AB=AC ， ∴∠ABC=∠C=75°， ∴∠OBG=75°﹣30°=45°， ∵OG=OB ， ∴∠OGB=∠OBG=45°， ∴∠BOG=90°， ∴BG 的长度= 908 180 π??=4π． 【点睛】 本题考查了圆的综合题，涉及了切线的判定、三角形中位线定理、圆周角定理、弧长公式等，正确添加辅助线、熟练掌握相关的性质与定理是解题的关键. 2．如图，已知AB 是⊙O 的直径，点C 为圆上一点，点D 在OC 的延长线上，连接DA ， 交BC 的延长线于点E ，使得∠DAC=∠B ． （1）求证：DA 是⊙O 切线； （2）求证：△CED ∽△ACD ； （3）若OA=1，sinD= 1 3 ，求AE 的长．
七年级语文周末练习题
2014—2015学年度第二学期末学科质量测评 七年级语文试卷 一、积累和运用（17分） 1.下列加点字的注音完全正确的一项是( )(2分) A.宿．儒（sù）剽．悍(biāo) 可．汗(kè) 悲怆．(chuàng) B.蓦．然（mù）炽．痛（chì）泯．然（mǐn）日曛．(xūn ) C.解．数（jiě）遒劲．(jìn) 凫．水(fú) 迥．异(jiǒng) D.羁．绊(jī) 狡黠．（xiá）讪．笑(shàn) 亢．奋（kàng） 2.下面词语中没有错别字的一项是（）（2分） A.人声鼎沸挺而走险力挽狂澜满目疮痍 B.妇儒皆知锲而不舍鞠躬尽瘁叱咤风云 C.进退维谷迫不急待坚如磐石来势汹汹 D.怏怏不乐仰之弥高义愤填膺相得益张 3.下列关于文学常识的表述，不正确的一项是( )(2分) 页脚内容1
A.《社戏》选自鲁迅散文集《呐喊》，文中的“社”原指土地神或土地庙。在绍兴，“社”是一种区域名称，“社戏”就是社中每年所演的“年规戏”。 B.《共工怒触不周山》选自《淮南子》，该书是西汉淮南王刘安及其门客集体撰写的。 C.《福楼拜家的星期天》的作者是法国作家莫泊桑，被称为短篇小说巨匠。代表作有《项链》、《羊脂球》等。 D.《资治通鉴》是北宋政治家、史学家司马光主持编撰的一部编年体通史，记载了从战国到五代之间的史事。 4.下列语句中没有语病的一项是（）（2分） A.《斑羚飞渡》一文塑造了一群斑羚用牺牲一半拯救另一半的方法保全种羊的事迹。 B.他背着老师和班长去了网吧。 C.征文稿件的字数不要超过1000字左右。 D.一个人虽然在同不可战胜的厄运的搏斗中毁灭了自己，但他的心灵却因此变得无比高尚。 5.经典古诗文默写。(5分) （1），相信吧，快乐的日子将会来临。(普希金《假如生活欺骗了你》)（1分） （2）有约不来过夜半, 。（赵师秀《约客》）（1分） （3）成语“扑朔迷离”出自于《木兰诗》，其原句是“， ____________________________。”（2分） （4）“春潮带雨晚来急，。”两句以飞转流动之势衬托闲淡宁静之景，被誉为“诗中有画，景中寓情”。（韦应物《滁洲西涧》）（1分） 6.走进名著。(4分) 页脚内容2
圆的综合练习题及答案
圆的综合练习题及答案公司内部编号：（GOOD-TMMT-MMUT-UUPTY-UUYY-DTTI-
圆的综合练习题答案 1.如图，已知AB 为⊙O 的弦，C 为⊙O 上一点，∠C =∠BAD ，且BD ⊥AB 于B . （1）求证：AD 是⊙O 的切线； （2）若⊙O 的半径为3，AB =4，求AD 的长. （1）证明: 如图, 连接AO 并延长交⊙O 于点E , 连接BE , 则∠ABE =90°. ∴ ∠EAB +∠E =90°. ∵ ∠E =∠C , ∠C =∠BAD ， ∴ ∠EAB +∠BAD =90°. ∴ AD 是⊙O 的切线. ……………………2分 （2）解：由（1）可知∠ABE =90°. ∵ AE =2AO =6, AB =4, ∴ 5222=-=AB AE BE . …………………………………………………3分 ∵ ∠E=∠C =∠BAD , BD ⊥AB , ∴ .cos cos E BAD ∠=∠ …………………………………………………4分 ∴ . AE BE AD AB = ∴ 5 5 12=AD . (5) 分 2.已知：在⊙O 中，AB 是直径，AC 是弦，OE⊥AC 于点E ，过点C 作直线FC ，使∠FCA＝∠AOE，交 AB 的延长线于点D. （1）求证：FD 是⊙O 的切线； （2）设OC 与BE 相交于点G ，若OG ＝2，求⊙O
半径的长； 证明：（1）连接OC （如图①）， ∵O A ＝OC ，∴∠1＝∠A. ∵OE ⊥AC ，∴∠A ＋∠AOE ＝90°. ∴∠1＋∠AOE ＝90°. 又∠FCA ＝∠AOE ， 图① ∴∠1＋∠FCA ＝90°. 即∠OCF ＝90°. ∴FD 是⊙O 的切 线. ……………………………………………………2分 （2）连接BC （如图②）， ∵OE ⊥AC ，∴AE ＝EC. 又AO ＝OB ， ∴OE ∥B C 且BC OE 2 1=.……………3分 ∴△OEG ∽△CBG. 图② ∴ 2 1 ==CB OE CG OG . ∵OG ＝2，∴CG ＝4. ∴OC ＝ 6. ………………………………………………………………5分 即⊙O 半径是6. 3.如图，以等腰ABC ?中的腰AB 为直径作⊙O ， 交底边 BC 于 点D ．过点D 作DE AC ⊥，垂足为E ． F 1 B D E O A C F G B D E O A C
海洋地理周末练习(含答案)
2019-2019第一学期高二地理（选修）第一次 周末作业 2019.10 一.综合题（本大题共5小题，共100分） 1.读大洋板块俯冲示意图（图1），回答下列问题： （1）图中板块A 是 ，B 是 。图中海底地形C 是 ，D 是 。 （2）由C 处到D 处，海底岩石年龄越来越 。 （3）大洋板块与大陆板块相撞， 板块向下俯冲而形成 ，大陆板块受挤上拱而形成 或 。图中板块的俯冲带E 又是 带。 答案：（1）大陆板块 大洋板块 洋中脊 海沟 （2）老 （4）大洋 海沟 海岸山脉 岛弧 消亡 2.分析海洋表面平均盐度、温度、蒸发量和降水量按纬度分布的曲线图，回答下列问题。 （1）图中表示海洋表层平均盐度的分布曲线的数码是 。世界海洋表面盐度分布规律是： （2）海洋表层海水的盐度、温度高低还受到洋流的影响。日本东海岸的洋流又称为“黑潮”，“黑潮”流经海区的盐度比邻近海区 （高,低）,温度比邻近海区 （高,低）。 （3）图中A 附近，线①呈峰值的原因 是 ； ②呈峰值的原因是 。A 处附近线①②相交处，线①的值为 。 （4）图中B 处附近，线③呈峰值的原因 是 ； ④呈峰值的原因 是 。 答案：(1) ① 从南北半球的副热带海区分别向两侧的高低纬度递减 (2) 高 高 (3) 地处副热带高气压带，蒸发量大于降水量 ； 纬度较低，气温较高 ，晴天多； 36.5‰ （36.4‰--36.8‰）(4) 纬度低，太阳高度角大，太阳辐射强 受赤道低压控制，多对流雨 3.读下面“部分海域洋底地层年龄分布示意图”，回答问题。 (1)请解释A 、B 附近多火山的原因。 (2)将图中的火山①～④按年龄由老到新排列。 (3)解释B 处的海底地形的成因。 (4)地形A ～D 中，在成因上具有关联性的是 。 解析：该题以部分洋底地层年龄分布图为载体综合考查了海底地形的形成。第(1)题，从洋底地层的年龄看，A 处最年轻，B 处最古老，按照海底扩张学说理论和A 、B 的轮廓特征可知，A 为洋中脊、B 为海沟，它们均位于板块的交接处，地壳比较活跃。第(2)题，按照海底扩张学说理论，新的洋壳在洋中脊形成，并向两侧推移，最后在海沟处消失，因此洋壳地层的年龄随距洋中脊的距离的增加而增加，这四个火山的新老关系可以根据它们距离洋中脊的远近来判断。第(3)题，B 处地层年龄最大，为海沟地形，它的形成可以用板块构造学说或海底扩张学说的理论解释。第(4)题，大洋中脊新洋壳不断生长，海底扩张形成宽广的洋盆，所以说洋盆(C)与洋中脊(A)形成具有关联性；海沟(B)和岛弧(D)往往相伴产生。 答案：(1)A 、B 分别位于洋中脊和海沟附近，为板块交界处，地壳比较活跃。 (2)④、③、②、①。 (3)B 处地层年龄最大，根据海底扩张学说可知，此处为洋壳消失的地方，为海沟；根据板块构造学说可知，此处为大陆板块和大洋板块的交接处，大洋板块因密度较大、位置较低而向大陆板块下面俯冲，并带动洋底下倾、陷落，形成海沟。 (4)A 和C B 和D 4.读“六大板块示意图”，回答下列问题。 (1)戊、己两地中，位于消亡边界上的是 ，甲位于 板块。 (2)试用板块构造学说解释丁山脉的成因。[来源:学_科_网Z_X_X_K] 学校 班级 姓名 学号 座位号 …………………………………………………….密 线 内 请 不 要 答 题……………………………………..
人教版五年级上册数学周末练习卷(第8周)
五年级上册数学周末练习卷（第8周） 班级姓名座号 一、计算 1.直接写得数。 2.5+1.75= 1.8÷6 = 1.73-2.07 = 109－0.9 = 400÷4 = 3.6÷0.3= 101×8= 1.25+7.5= 0.25÷5= 0.72÷8= 2.笔算并验算 18÷40 0.972÷0.27 40.5 ÷45 57.6÷48 3.怎样算简便就怎样算 0.78×99+0.78 4.36×6.5 + 4.36×4.5—4.36 5.1 +78.4÷16 4.列式计算。 1、被除数是10.8，商是2.4，除数是多少？ 2、一个数的4.1倍是24.6，这个数是多少？ 二、填空 1.小数除法的意义与整数除法的意义（），是已知（）的积与其中一个（），求另一个（）的运算。 2. 4 3.5是5的（）倍。 3.两个因数的积是57.6，其中一个因数是9，另一个因数是（）。 4.、=”。 5.4÷9 1 3.2÷2 1 42÷84 15÷15 19.5÷÷÷÷
5.一个三位小数保留两位小数的近似值是 5.86，这个小数最小是（），最大是（）。 6.甲数除以乙数，商是0.8，若把两数分别扩大到原来的10倍，商是（）。 7.把下面的算式转化成除数是整数的除法算式。 ①0.56÷0.25=（）÷25 ③1÷0.04=（）÷（） ②6.24÷0.3=（）÷3 ④5.67÷0.0012=（）÷（） 三、解决问题 1.小汽车8分钟行1 2.8千米，公共汽车12分钟行14.4千米，谁的速度较快？快多少？ 2.田露：三峡永久船闸的闸门共24扇，其中最大的一扇高38.5米。田亮：我的身高是1.4米，最大的一扇闸门的高度是我身高的多少倍？ 3.甲乙两地相距105.6km,一艘船从甲地到乙地去时用了6小时，回来时用了10小时。这艘船行驶一个来回的平均速度是多少？ 4.王姨从批发部买回两箱雪糕。批发价：奶油雪糕20根，22.4元/箱；水果雪糕30根，28.8元/箱。零售价：奶油雪糕1.5元/根，水果雪糕每根1.2元/根。（1）按批发价，每根奶油雪糕多少钱？每根水果雪糕多少钱？ （2）按零售价卖完这两箱雪糕，王姨一共赚了多少钱？ 5.水果店里，小严买3kg梨和3kg苹果共付了33元，小陆买3kg同样的梨和5kg同样的苹果共付了45.4元，每千克梨多少钱？
圆综合练习题一
圆综合练习题一。 一.填空。 1.用圆规画一个周长是25.12com 的圆，圆规两脚间叉开的距离是（ ）。 2.在一个边长是8分米的正方形里，画一个最大的圆，这个圆的半径是（ ）。 3.一个圆的半径增加a 米，它的直径增加（ ）米，周长增加（ ）。 4.在一张长是16cm,宽是10cm 的长方形硬纸板上剪下一个最大的半圆，剩余部分的面积是（ ）。 5.大圆半径是小圆直径的 3 2，小圆和大圆的周长比是（ ），面积比是（ ）。 6.圆的半径增加51倍，圆的周长增加（ ），圆的面积增加（ ）。 7．将一个圆平均分成1000个完全相同的小扇形，割拼成近似的长方形的周长比原来圆周长长12厘米，这个长方形的面积是（ ）平方厘米。 8.一个半圆的周长是30.84分米，这个半圆的面积是（ ）平方分米。 9．大圆半径是小圆半径的4倍，大圆周长是小圆周长的（ ）倍，小圆面积是大圆面积的（ ）。 10．在一个面积是28平方厘米的正方形内画一个最大的圆，这个圆的面积是（ ）平方厘米；再在这个圆内画一个最大的正方形，正方形的面积是（ ）平方厘米。 11．大圆直径是小圆直径的2倍，大圆面积是50.24平方厘米，则小圆面积为（ ）平方厘米。 12．大圆半径是小圆半径的3倍，大圆面积比小圆面积多40平方厘米，小圆面积是（ ）平方厘米。 二.判断 1.面积相等的两个圆，周长一定相等。（ ） 2.半圆的面积是整圆的一半，则半圆的周长也是整圆周长的一半。（ ） 3.在一个圆内画一个最大的正方形，则圆的面积与正方形的面积比是π：2。（ ） 4.一个圆的周长扩大45倍，则面积增加4 1。（ ） 5.直径相同的两个圆成轴对称。（ ） 三.选择 1.在 一个长9厘米，宽6厘米的长方形硬纸上画一个最大的圆，该圆的面积是（ ）平方厘米。 A.28.26 B.63.585 C.18.84 D.25.74 2.如图AB 之间有两条路线可走， 3.周长相等的正方形和圆的面积比是（ ）。 两条路线相比（ ） A.1:2 B.2:1 C.1:1 D.π：4 A .①条路线长 B.②条路线长 C.同样长 4.在一个正方形中做一个最大的圆，正方形的面积与圆的面积比是（ ）。 Ａ．π：４ Ｂ．４：π Ｃ．２：π Ｄ．π：２ ５．在面积相等的情况下，用铁丝制作（ ）最省材料。 Ａ．长方形 Ｂ．正方形 Ｃ．平行四边形 Ｄ．圆 四．解决问题。 １．一辆自行车轮胎的外直径约70ｃｍ，如果每分钟转120周，小明骑车从家到学校的距离为5.2752千米，大约需要多少分钟？ ２．一个半圆形的花坛，它的面积是56.52平方米，求这个花坛的周长是多少？ ３．一个半圆形花坛的周长是35.98ｍ，它的面积是多少？ ４．街心有一个周长是40.82ｍ的圆形花坛，在其周围修一条２ｍ宽的小路，小路的面积是多少ｍ2？ ５．如果圆的半径增加5 1，那么它的面积就增加８８平方分米。求原来圆的面积是多少ｄｍ2？ ６．有一块边长是８ｍ的草地的一组对角顶点上各系有一只羊，绳长８ｍ，两只羊均能吃到的草地面积是多少ｍ2 ？ ７．一个石英钟的分针长10ｃｍ，分针旋转过的面积是78.5cm 2，你能求出分针走了多少分钟吗？ ８．求出下列图形的周长（单位：厘米）。 ８．求下图中阴影部分的面积（单位：厘米）。 50 80 ２ ３ 12 (三角形面积都是10cm 2)
2021高三语文周末综合小练习附答案
2021高三语文周末综合小练习附答案 古代诗歌阅读＋名句名篇默写＋文学类文本阅读 一、古代诗歌阅读(9分) 阅读下面这首唐诗，完成1～2题。 秋雨夜眠① 白居易 凉冷三秋夜，安闲一老翁。 卧迟灯灭后，睡美雨声中。 灰宿温瓶②火，香添暖被笼。 晓晴寒未起，霜叶满阶红。 [注] ①这首诗大约创作于大和六年(832)秋，是白居易任河南尹时所作。诗人已六十多岁，体衰多病，官务清闲，亲密的诗友元稹已经谢世。②瓶：烤火用的烘瓶。 1．下列对这首诗的赏析，不恰当的一项是(3分)( ) A．诗歌首句，诗人用气候环境给予人的“凉冷”感觉来形容深秋之夜，未见风雨，就已觉寒意袭人，这就给整首诗抹上了深秋的色彩。 B．颔联的“卧迟”体现了老翁的特性，睡眠少，宁可闲坐养神而不喜早睡，免得夜间睡不着；颈联写老翁三秋之夜就要烤火，正说明他怕冷、体衰。 C．尾联与首句遥相呼应，风雨过后，深秋的气候更加寒冷，一个“寒”字交代了老翁“未起”的原因，只是反映出了老年人年纪大而怕冷的特性。 D．诗中虽然没有正面写仕途、境遇，但景与人关合，尤其“霜叶满阶红”一句表现了大自然的冷酷，从树木想到人，从自然想到社会，令诗人深有感触。 2．这首诗塑造了一个怎样的老翁形象？请结合全诗做简要分析。(6分) 答：____________________________________________________ _______________________________________________________ 二、名句名篇默写(6分) 3．补写出下列句子中的空缺部分。(6分) (1)欧阳修在《醉翁亭记》中用对偶句“__________________，__________________”描绘出两幅对比鲜明的图画，准确而生动地写出了琅琊山有晦有明、交替变化的朝暮景象。 (2)杜甫《登高》中“__________________，__________________”两句描写了树叶落下、长江汹涌之状。 (3)《诗经·氓》中，女子先是诉说自己婚后的劳苦，“__________________，__________________”，接着指斥氓达到目的后就变得凶暴起来。
苏教版五年级上册数学第八周周末练习(三)
五数周末作业 姓名______________ 一、填空。 1. 3个十、8个百分之一、8个千分之一组成的数是（ ） 2．51 2.405左边的5表示（ ），右边的5表示（ ）。 3．8个十分之一与32个百分之一的和是（ ），差是（ ）。 4．1.34的计数单位是（ ），它有（ ）个这样的计数单位，去掉（ ）个这样的计数单位得到一个整数。 5．7.9459四舍五入保留一位小数是（ ），精确到百分位是（ ），保留三位小数是（ ）。 6．在○里填上“>”“<”或“=” 10.03○9.87 7.12○7.120 0.789亿○789万 8900○0.89万 5米7厘米○5.7米 7千米50米○7.5千米 7. 3.68﹤3.□9 方框内可以填（ ） 9.63﹥9.5 □ 方框内可以填 （ ） 要使4.9□≈5.0,□里最小填（ ）。 8. 3.4与0.25的和比8少（ ），列式是（ ）。 9．将156784000吨改写成用“万”作单位是（ ）吨，改成用“亿”作单位的数是（ ）吨，改成用亿作单位并精确到十分位是（ ）吨，省略亿位后面的尾数是（ ）吨。 10．用3、4、5和小数点可以组成（ ）个不同的一位小数， 最大是（ ），最小是（ ），相差（ ）。 11．48560米=( )千米 298007000米=( )万米 1595000000吨=( )亿吨 12．一个三位小数，用四舍五入法取近似值后是3.20，这个三位小数最小是( )，最大是( )。 13．两个数的差是13.8，如果被减数减少1.2，减数增加2.6，差是( )。 14. 明明在计算1.5-a+2.5时，错算成15-a+25，这样算得的结果比正确结果大（ ）。 15. 8.23-2.1-3.9=8.23-（ + ）运用了（ ）3.4+3.45+4.6=3.45+（ + ）运用了（ ） 16．小马虎在计算5.3加一个小数时，把加号看成了减号，结果得3.28，那正确的结果应该是（ ）。 17．找规律，写出得数。 0.9+0.99=1.89 0.9+0.99+0.999=2.889 0.9+0.99+0.999+0.9999=3.8889 0.9+0.99+0.999+0.9999……9=( ) 共有100个9 二、判断（对的在括号里打“√”，错的打“×”）。 1．笔算小数加、减时，一般要把末位对齐。 （ ） 2．5.9+0.3-5.9+0.3=0 （ ） 3．3.20和3.2大小相等，但计数单位和精确程度不一样。（ ） 4．一位小数加一个两位小数，和一定是两位小数。 （ ） 5．整数加法的运算定律对于小数加法同样适用。 （ ） 二、选择题。（将正确答案的序号填在括号里）。 1．计算器在关闭的状态下计算0.80+10.05，得到结果至少要按（ ）次键。 A 、 8 B 、9 C 、10 2．根据小数的性质，在5.8的末尾添上一个0，这个数的计数单位（ ）。A 、变大 B 、变小 C 、不变 3．甲数是7.8，比乙数多0.2，则甲、乙两数的和是( )。 A 、7.6 B 、15.8 C 、15.4 D 、14.4 4．一个加数增加4.2，要使和增加2.4，另一个加数（ ） A 、增加1.8 B 、减少1.8 C 、增加6.6 D 、减少6.6 5．小红在计算一道小数减法时，把被减数十分位上的3看成了5，把减数百分位上8的看成了4，算出的错误答案与正确答案相差（ ）。 A 、0.24 B 、0.16 C 、0.49 三、计算。1。直接写出得数 7.5－0.5= 0.45＋0.6= 6+3.4= 2.3+0.07= 3.62－1.6= 0.37+0.3= 6.2＋0.1—6.2＋0.1＝ 2．列竖式计算（第一题要验算；第二题得数保留一位小数） 12.7+8.79= 3.6-0.748 3．脱式计算（能简则简） 3.65+1.29-4.18 6.63-1.56+2.44 15.47-8.38-3.62 5.54+（2.97-2.54） 13.92-（4.5-1.08） 6.4-(3.4+1.9) 12.34+9.9 6.55+3.76-2.76+3.45 8.5-（2.2+1.5）+2.2 四、解决问题 1.小明身高1.5米，比小红高0.14米，小红比小华矮0.2米，小华身高多少米？ 2.一袋面粉，用去12.42千克，比剩下的多 3.84千克，这袋面粉原来有多少千克？ 3.一瓶油连瓶重3.5千克，用去一半后，连瓶还重1.9千克，这瓶油的净含量是多少千克？ 瓶子重多少千克？ 4．李大叔把两根长度都是2.14米的绳子接在一起，接头处用 去38厘米，接好后的绳子长多少米？ 5.妈妈最多可以买几种商品?这时还剩多少钱？ 6.*小明在计算一道小数加法时把一个加数6看成了3，把另一个加数十分位上的4看成了9，结果得到了10.2，正确的结果是多少？
圆的综合练习
圆的综合练习 一、选择题 1.如图1，A 、B 、C 是⊙O 上的三点，且∠ABC ＝70°，则∠AOC 的度数是( ) A.35° B.140° C.70° D.70°或140° 图1 图2 图3 图4 2．如图3，AB 、AC 分别切⊙O 于B 、C ，D 是⊙O 上一点，∠D=400，则∠A 的度数等于（ ） （A ）1400. （B ）1200. （C ）1000. （D ）800. 3．如图4，小明同学设计了一个测量圆直径的工具，标有刻度的尺子OA 、OB 在O 点钉在一起，并使它们保持垂直，在测直径时，把O 点靠在圆周上，读得刻度OE=8个单位，OF=6个单位，则圆的直径为（ ） A ．12个单位 B ．10个单位 C ．1个单位 D ．15个单位 4、如图，四边形ABCD 内接于⊙O ，若它的一个外角∠DCE=70°，则∠BOD=( ) A ．35° B.70° C ．110° D.140° 5.已知⊙O 是等边三角形ABC 的外接圆，⊙O 的半径为2，则等边三角形ABC 的边长为（ ） A ． 3 B ． 5 C ．2 3 D ．2 5 5.在Rt △ABC 中，∠C=90°，AC=12，BC=5，将△ABC 绕边AC 所在直线旋转一周得到圆锥，则该圆锥的侧面积是( ) A.25π B.65π C.90π D.130π 6.已知圆锥的母线长是5cm ，侧面积是15πcm 2 ，则这个圆锥底面圆的半径是（ ） A ．1.5cm B ．3cm C ．4cm D ．6cm 7.如图，Rt △AB ′C ′是Rt △ABC 以点A 为中心逆时针旋转90°而得到的， 其中AB=1，BC=2，则旋转过程中弧CC ′的长为( ) A.π B.π C.5π D.π 二、填空题 9.在⊙O 中，已知半径长为3，弦AB 长为4，那么圆心O 到AB 的距离为_____ 10.如图，点A 、B 、C 、D 分别是⊙O 上四点，∠ABD=20°，BD 是直径，则∠ACB=_____ 11.如图，水平放置的圆柱形排水管道的截面直径是1 m ，其中水面的宽AB 为0.8 m ，则排水 管内水的深度为_____ 12.在Rt △ABC 中，∠C=90°，∠A=60°，BC=4 cm ，以点C 为圆心，以3 cm 长为半径作圆，则⊙C 与AB 的位置关系是_____ 2 52 5 5
译林牛津版八年级英语下册Unit 5 周末综合练习(包含答案)
Unit 5 周末学情了解 分值：100 时间：60分 一．单项选择（共15小题；每小题1分，共15题） ( ) 1.-- You made friends with Roman yesterday , didn’t you ? --- Yes, that’s true. I met him on my way to school quite by accident. A. the; / B.the; a C a; the D. a; / ( ) 2.My teacher as well as his parents in London for two weeks last year. A. have been B. has been C. were D. was ( ) 3.--Didn’t you see people were waiting in line ? Don’t __________. -- Sorry , ________ , sir. A. cut in; I will B. push in; I won’t C. push past; I won’t D.pull in; I will ( ) 4. Mr Wu often spends as much time as he can difficult problems us. A. to explain;for B. explaining ;for C. explain;to D.explaining;to ( ) 5 . ---Can you hear me? ---No,I can’t. Would you please speak_______? A.clearly enough B.clear enough C .enough clear D. enough clearly ( ) 6. ---I can't believe you have finished the work. ---My friends hel ped me out. Just as the saying goes, “ . ” A. Practice make perfect B. Put all your eggs in one basket C. Burn the candle at both ends D. Many hands make light work ( ) 7. We should be careful enough________ ourselves from danger. A.to stop B. to keep C .protecting D.preventing ( ) 8. ---Where is your mother? ---She_______ Shanghai. She _____ come back until next week. A. has gone to; will B. has been to; won't C. has been to; doesn't D. has gone to; won't ( ) 9.There used to be a small pretty river _______. Now it has turned into tall buildings. A. at a time B. all the time C. at one time D. from time to time ( ) 10.My uncle John_______ Shanghai during May Day holiday last year. A.returned to B. has returned to C. returned back to D .has been back to ( ) 11. Tom's mother is too busy_______ housework_______ him with his homework. A. doing; to help B. to do; to help C. doing; helping D. to do; helping ( ) 12. — Sir, please put out your cigarette (香烟). — Sorry. I _____ the sign. A. don’t notice B. didn’t notice C. haven’t noticed D. won’t notice ( )13. --- We should give the elderly there as much help as we can. --- I agree. ______ , we should keep in touch with them as often as we can. A. After all B. Above all C. In all D. All above ( ) 14.The problem is_______ difficult_______ we can't solve it in such a short time. A. such;that B. enough; that C. too; to D.so; that ( ) 15. ---Mrs Green. Do you think I can get an “A” in the final exam if I start working hard now? ---Of course.________ A. Better late than never B. Many hands make light work C. You cannot burn the candle at both sides D. Actions speak louder than words 二、完型填空（共15小题；每小题1分，共15题） Table manners are very different in every country. For example, when you are in England you must not 16 your soup plate to your mouth. This is very 17 . But when you are in Japan this is completely 18 . Lifting your plate to your mouth in Japan is a 19 way of drinking your soup. And also in Japan you 20 worry about making a noise when you drink it. It just shows that you 21 like the food! But it is not the same in Britain , so you shoul dn’t make a noise when 22 there. In Britain, people don’t put their hands or arms on the table 23 the meal. But in Mexico, guests keep their hands on the table 24 . In fact, you should watch what your hands do very carefully. In Arab countries, it is impolite when you eat with your 25 , so don’t use you left hands! In all the cultures it is impolite to 26 when you are eating. So don’t speak when you are eating. In Ukraine you should not start eating 27 ; you should wait for all the others to start eating with you. You also have to say “please” and “thank you” every time you 28 and get something. If you don’t like some food, don’t 29and don’t say, “Yuk! I hate that!”
沪教版四年级语文(下册)第八周周末练习卷
四年级（下）语文第八周周末练习卷 班级家长签字： 一、圈出下列加点字的正确读音 出没．（ méi mò）兴．奋（ xīng xìng ）掩映．（ yìng yīng ）凝．视（ nín níng ）首都．（ dōu dū）苍翠．（ cuì chuì）二、给下面的手选择正确的解释。（填序号） 手：①人的上肢前端。②拿着。③亲自动手。④技能、本领。⑤有某种特长的人。⑥小巧易拿的。⑦量词 一手绝活（）人手一册（）手册（） 留着一手（）能手（） 三、按要求改写句子。 1、妈妈笑得合不拢嘴。（缩写句子） 2、我去看望王伯伯。（扩写句子） 3、自然常识对我特别感兴趣。（修改病句） 4、蔺相如声色俱厉地对王说：“你我现在相距只有五步。再不答应，我就跟你拼了。”（间接引语） 5、树叶在哗啦啦地响。（拟人句） 四、填空 1、在第四单元的课文容学习中，我们游览了许多世界名胜：来到（）的音乐之都维也纳，（）的颐和园、（）的坦桑尼亚天然动物园、（）的（）。 2、世界是一本（），从不旅行的人（）。 3、（），落花时节又逢君。 五、阅读：
（一）吃西瓜 前几天，爸爸买了两个又大又圆的西瓜。晚上，天气闷热，爸爸招呼我和弟弟一起吃西瓜。 我和弟弟看着这两个西瓜，就仿佛看到里面鲜红的瓜瓤。爸爸切开了第一个瓜。啊！是个生的，黄里微微泛有白色。瓜籽也是白嫩的，我和弟弟好失望。可是，爸爸一声不吭，若无其事地切开第二个，啊！鲜红的瓜瓤，黑又饱满的瓜籽，诱人的瓜汁往外渗着，渗着。 “吃吧！吃吧。”爸爸把两片推到我和弟弟面前笑着说。弟弟大口大口地吃起来。我也刚要吃，突然发现爸爸拿起一个生西瓜。咬了一口,嚼了几下，眉头一皱，硬咽下去了。这时，他发现我正盯着他。爸爸脸上立刻露出了笑容：“你吃你的吧，这生瓜也很好吃呀！”这时，我心里真不是滋味，手中小小的一片西瓜突然变重了许多。我又低头咬了一口，可怎么也咽不下去。于是，我放下手中的熟瓜，拿起一片生瓜咬了一大口，清淡无味。我还是把它吃下去了。 这件事过去很多天了，但我的心甜甜的。我觉得在这件小事中，我得到了一种宝贵的东西。 1、给下面词语中带点的字选择正确的读音用“√”画出来。 闷热(men men) 瓜瓤(yang rang) 诱人(you xiu) 硬咽(yan yan ye) 2、判断四个自然段的小标题哪个对，在括号画“√”。 第一自然段：买瓜。（）第二自然段：切瓜。（） 第三自然段：让瓜。（）第四自然段：难忘。（） 3、用直线画出第三自然段中描写“我”心理活动的句子。 4、填空：描写爸爸吃瓜动作的词有（）（） 5、“我得到了一种宝贵的东西。”是指什么？ （一）士别三日刮目相看 三国时，吴国有一员大将，名叫吕蒙。吕蒙从小炼就了一身武艺，十几岁就开始在军队中服役了。打仗时，他冲锋陷阵，十分勇敢，往往会手提大刀，第一个杀入敌阵，为吴国立下了汗马功劳。因此，只要提道“吴国阿蒙”，没有人不知道的。
圆的综合练习题及答案
圆的综合练习题答案 1.如图，已知AB 为⊙O 的弦，C 为⊙O 上一点，∠C =∠BAD ，且BD ⊥AB 于B . （1）求证：AD 是⊙O 的切线； （2）若⊙O 的半径为3，AB =4，求AD 的长. （1）证明: 如图, 连接AO 并延长交⊙O 于点E , 连接BE , 则∠ABE =90°. ∴ ∠EAB +∠E =90°. ……………………1分 ∵ ∠E =∠C , ∠C =∠BAD ， ∴ ∠EAB +∠BAD =90°. ∴ AD 是⊙O 的切线. ……………………2分 （2）解：由（1）可知∠ABE =90°. ∵ AE =2AO =6, AB =4, ∴ 5222=-= AB AE BE . …………………………………………………3分 ∵ ∠E=∠C =∠BAD , BD ⊥AB , ∴ .cos cos E BAD ∠=∠ …………………………………………………4分 ∴ .AE BE AD AB = .6 524=AD 即 ∴ 5 5 12= AD . …………………………………………………5分 2.已知：在⊙O 中，AB 是直径，AC 是弦，OE ⊥AC 于点E ，过点C 作直线FC ，使∠FCA ＝∠AOE ，交 AB 的延长线于点D. （1）求证：FD 是⊙O 的切线； （2）设OC 与BE 相交于点G ，若OG ＝2，求⊙O 半径的长； 证明：（1）连接OC （如图①）， ∵OA ＝OC ，∴∠1＝∠A. ∵OE ⊥AC ，∴∠A ＋∠AOE ＝90°. ∴∠1＋∠AOE ＝90°. 又∠FCA ＝∠AOE ， 图① ∴∠1＋∠FCA ＝90°. 即∠OCF ＝90°. ∴FD 是⊙O 的切线. ……………………………………………………2分 （2）连接BC （如图②）， ∵OE ⊥AC ，∴AE ＝EC. 又AO ＝OB ， ∴OE ∥BC 且BC OE 2 1 = .……………3分 ∴△OEG ∽△CBG. 图②
英汉翻译中的增词法和减词法
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周末英语综合练习(6)
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