by definition
大学英语综合教程3
英语复习资料短语unit 1（be）free of摆脱，免于draw the line（at）划清最后界限get away from it all远离这一切；have a point和情理；是明智的live with容忍off the grid 没有联网save for除……之外serve up sth.提供sniff at对……嗤之以鼻unit 2a host of一大群;许多buck the tread抵制某种趋势；反潮流by definition依据定义;当然地center on以……为中心check off清点get out of the way使某人或某物不碍事in terms of根据，就……而言kick in开始生效unit 3act out把……付诸行动be on one's way to 正要成为；正要做connect the dots 理清头绪for fear of 以防；生怕have no awareness of 不知道in service 在使用中；可运用keep sth。
in perspective 适当处理；摆正位置play out 把戏演完；让戏上演seek out 追寻到；找到throw sb。
off balance 使某人心神不安to that end 为了实现这个目标unit 4at the height of 在。
....。
的顶峰或鼎盛时期brim with 充满bring to mind 使想起conjure up 使呈现于脑际;使想起contrast with 与.。
...形成对照；和。
.。
..相对照draw attention to 吸引人注意..。
in great demand 需求量大的；受欢迎的refer to 提及unit 5after the manner of 仿效in company with 和...一起in miniature 小规模地jump about 跳来跳去make love to 向..。
新目标大学英语系列教材：综合教程第三册课后答案主编刘正光
新⽬标⼤学英语系列教材：综合教程第三册课后答案主编刘正光第⼀单元Text AReading Comprehension1.1) (1) sniffed at, smug(2) proud2) (1) the few remaining holes, quite soon(2) disheartened3) (1) impossible to be truly alone, more and more endangered, staring, even(2) critical4) (1) love the wilderness, can’t wait for my next trip, walk for miles, drink deeply from a mountain stream, stretch out under the open sky, gaze up at the stars, use my phone(2) optimistic2.1) F The author admitted that his colleague kind of had a point because he did use GPS. That is to say, to some degree he agreed with his colleague.2) NG It is not mentioned in the text.3) F Waldeinsamkeit becomes more and more endangered with everycell tower.4) T Technology can enhance your wilderness experience, for example the Night Sky mobile app, an app concerning birding, or a map app.5) F The phone isn’t the problem. The problem is us — our inability to step away from email and games and inessential data, our inability to look up, be it at an alpine lake or at family members.Language in Use4.A.1) urge, urgent2) delete, deletions3) enforced, enforcement 4) identification, identified 5) persistence, persistent6) civilization, civilize 7) populated, populous8) migrate, migration5.1) draw the line2) off the grid3) had a point4) get away from it all5) (Being) free of6) serve up7) save for8) live with6.1) sniffed at2) murmuring at3) rejoice at4) grasp at5) Glancing at6) marveling at7) aim at8) barked at7.1) packed with2) consisting with3) endowed with4) quivering with5) combined with6) gossiping with7) compromise with8) paled with8.Reference translation1) 我们⾛了200多英⾥却没有踏⾜任何公路；更爽的是，这期间我们没有回复任何电话、电⼦邮件、推特或其他⽇常⽹络通信。
大学英语(B)阅读理解练习题与答案
----Passage1ManypeoplewhoworkinLondonprefertoliveoutsideit,andtogointotheirofficesors choolseverydaybytrain,carorbus,eventhoughthismeanstheyhavetogetupearlyinthemorningandreachhomelateintheevening.OneadvantageoflivingoutsideLondonisthathousesarecheaper.EvenasmallflatinLondonw ithoutagardencostsquitealottorent.Withthesamemoney,onecangetalittlehouseinthecountrywithagardenofone‘sown.Then,inthecountryonecanreallygetawayfromthenoiseandhurryofbusyworkinglives.Eventhoughonehastogetupearlierandspendmoretimeintrainsorbuses,onecansleepbetteratnightandduringweekendsandonsummerevenings,onecanenjoythefresh,cleanairofthecountry.Ifonelikesgarden,onecanspendone‘sfreetimedigging,planting,wateringanddoingthehundredandoneotherjobswhich areneededinagarden.Then,whentheflowersandvegetablescomeup,onehasgottherewardtogetherwiththosewhohavesharedthesecretofNature.Somepeople,however,takenointerestincountrythings:forthem,happinessliesinthetown, withitscinemasandtheatres,beautifulshopsandbusystreets,dance-hallsandrestaurants.Such peoplewouldfeelthattheirlifewasnotworthlivingiftheyhadtoliveitoutside London.Anoccasionalwalkinoneoftheparksandafortnight‘s(twoweeks)visittotheseaeverysummerisallthecountrytheywant:theresttheyarequitepreparedtoleavetothosewhoaregladtogetawayfromLondoneverynight.1.WhichofthefollowingstatementsisNOTtrue?A.PeoplewholoveNatureprefertoliveoutsidethecity.B.AllthepeoplewhoworkinLondonprefertoliveinthecountry.C.SomepeopleenjoyingcitylifeprefertoworkandliveinsideLondon.D.Manynaturelovers,thoughworkinginLondon,prefertoliveoutside.2.Withthesamemoneyneededfor________,onecanbuyalittlehousewithagardeninthecountry.A.gettingasmallflatwithagardenB.havingasmallflatwithagardenC.rentingasmallflatwithoutagardenD.buyingasmallflatwithoutagarden3.Whenthegardenisinblossom,theone________hasbeenrewarded.A.livinginthecountryB.havingspenttimeworkinginthegarden.C.havingagardenofhisown.D.havingbeendigging,plantingandwatering4.P eoplewhothinkhappinessliesinthecitylifewouldfeelthat________iftheyhadtoliveoutsideLondon.A.theirlifewasmeaninglessB.theirlifewasinvaluableC.theydidn deserve‘tahappylifeD.theywerenotworthyoftheirhappylife5.Theunderlinedphrase―getawayfrom‖inthe3rdparagraphrefers.to_______A.dealwithB.doawaywithC.escapefromD.preventfrom很多在伦敦工作的人喜欢住在伦敦郊外，这也就意味着他们不得不早出晚归。
定义的英语短语
定义的英语短语不要随便给一个人下定义，如果你根本就没有深入了解它的心路历程。
下面是店铺给大家整理的定义的英语短语，供大家参阅!定义的英语短语篇11. It all depends on your definition of punk, doesn'tit?“这全视乎你对朋克摇滚乐的定义，不是吗?”2. The legal definition of "know" often presumes mental control.“知晓”的法律定义通常假定存在思维控制能力。
3. Louis Armstrong defined jazz pithily as "what I play for a living".路易斯·阿姆斯特朗把爵士乐简明扼要地定义为“我一门糊口的手艺”。
4. There is no generally accepted definition of life.关于生活的定义不一而足。
5. Can you give a more precise definition of the word?你能给这个词下个更确切的定义吗?6. A clinic for women would, by definition, deal with pregnancy and childbirth.根据定义, 妇科诊所处理妊娠和分娩事宜.7. The advent of the Euro will redefine Europe.欧元的出现将重新定义欧洲.8. I made a definition for this word.我给这个字下了定义.9. It is ill to be defined.很难下定义.10. We define education very broadly and students can study any aspect of its consequences for society.我们对教育的定义非常宽泛，学生们可以就其给社会带来的影响的任一方面进行研究。
《高级英语》课文逐句翻译（2）
青年⼈的四种选择 Lesson 2 Four Choices for Young People 在毕业前不久，斯坦福⼤学四年级主席吉姆？宾司给我写了⼀封信，信中谈及他的⼀些不安。
Shortly before his graduation， Jim Binns， president of the senior class at Stanford University， wrote me about some of his misgivings. 他写道：“与其他任何⼀代⼈相⽐，我们这⼀代⼈在看待成⼈世界时抱有更⼤的疑虑……同时越来越倾向于全盘否定成⼈世界。
” “More than any other generation，” he said， “our generation views the adult world with great skepticism… there is also an increased tendency to reject completely that world.” 很明显，他的话代表了许多同龄⼈的看法。
Apparently he speaks for a lot of his contemporaries. 在过去的⼏年⾥，我倾听过许多年轻⼈的谈话，他们有的还在⼤学读书，有的已经毕业，他们对于成⼈的世界同样感到不安。
During the last few years， I have listened to scores of young people， in college and out， who were just as nervous about the grown world. ⼤致来说，他们的态度可归纳如下：“这个世界乱糟糟的，到处充满了不平等、贫困和战争。
对此该负责的⼤概应是那些管理这个世界的成年⼈吧。
如果他们不能做得⽐这些更好，他们⼜能拿什么来教育我们呢？这样的教导，我们根本不需要。
C12T5P3What’s the purpose of gaining knowledge
C12Test 05-Passage 3:What’s the purpose of gaining knowledge?A'I would found an institution where any person can find instruction in any subject.' That was the founder’s motto for Cornell University, and it seems an apt characterization of the different university, also in the USA, where I currently teach philosophy. A student can prepare for a career in resort management, engineering, interior design, accounting, music, law enforcement, you name it. But what would the founders of these two institutions have thought of a course called 'Arson for Profit'? I kid you not: we have it on the books. Any undergraduates who have met the academic requirements can sign up for the course in our program in 'fire science'.生词：institution n. 制度；建立；（社会或宗教等）公共机构；习俗motto ['mɒtəʊ] n. 座右铭，格言；箴言apt [æpt]adj. 恰当的；有…倾向的；灵敏的be apt to do sth 1. to have a natural tendency to do something倾向于做某事，易于做某事2. exactly right for a particular situation or purpose适当的，恰当的‘Love at first sight’ is a very apt description of how he felt when he saw her. 用“一见钟情”来形容他见到她时的感觉再恰当不过。
新标准大学英语综合教程UNITTEST答案
1. For me, television is just a(n) manual,but some people consider it a full-timeactivity.? ? Your answer Correct answer ? manual diversion2. S norkeling and scuba diving are greatpastimes, but they also have excitement risks that make them dangerous.? ? Your answer Correct answer ? excitement inherent3. W hen I move to a new house, I think I'll needa(n) additional room for all of my hobbies.? ? Your answer Correct answer ? additional additional4. J ohn plays team sports in his free time becausehe appreciates the outlook with otherpeople.? ? Your answer Correct answer ? outlook interaction5. My current job involves a lot of diversionlabor, so I'd prefer that my next job be at a desk.? diversion manual6. A ny hobby can take over your life if you spend? ? Your answer Correct answer ? leisure excessive7. I have to write an essay about what I like to? ? Your answer Correct answer ? peculiar leisure8.great; more and more people are trying to stay healthy through sports.? ? Your answer Correct answer ? interaction outlook9. Most people don't see stampcollecting, but I really enjoy it.? ? Your answer Correct answer ? inherent excitement10.hobby, but I find it interesting and it makes me happy.? excessive peculiarSection B: Choose the best way to complete the sentences.11. M y little sister has an _______ spirit—shelikes to explore everyplace she goes.A. adventurousB. advantageousC. adventureD. advantage12. C live would often get into trouble because he_______ expressed his thoughts and opinions.A. swiftlyB. franticallyC. badlyD. perfectly13. F or many people, learning to speak Chinese isa _______ effort because it is so difficult.A. futileB. rewardingC. peculiarD. worthwhile14. T he _______ of the large tree from our backyardfreed up space where we could play football.A. removeB. removalC. removingD. removes15. D on't _______ me! Of course I know how to playchess!A. insultB. rudeC. offenseD. abuse16. E njoyable activities such as painting,photography, and light exercise help olderpeople maintain a _______ on the real world.A. gripsB. grippingC. gripperD. grip17. C ompleting crossword puzzles usually _______ mesince many of the words are so uncommon.A. aggravateB. aggravatesC. aggravatingD. aggravation18. S ome games, like chess, have an _______ set ofrules, while others are relatively simple.A. excellentB. expensiveC. exactD. extensive19. M any young people practically live in the_______ world of video games.A. genuineB. virtualC. trueD. false20. B y definition, a hobby is something you do forfun and for which don't receive any _______.A. excitementB. leisureC. compensationD. gratificationSection C: Complete each sentence with a suitable word.21. Please sit down and watch this short filmbefore the meeting.? ? Your answer Correct answer? down down22. Stephen has taken an interest in poetry, soI bought him a book of famous poems.? ? Your answer Correct answer? in in23. When she got older, Sally took upphotography as a full-time hobby.? ? Your answer Correct answer ? up up24. Once I catch hold of an idea, I have tofollow through until it's complete.? ? Your answer Correct answer ? of of25. Not many paintings are worthy of the wordmasterpiece, but the Louvre Museum in Paris is full of paintings that are!? ? Your answer Correct answer ? of of26. As for the younger generation, I thinkthey're more interested in video games than books.? ? Your answer Correct answer ? for for27. A painter must have every color of paint athand and available at all times.? ? Your answer Correct answer ? at at28. After reading that book, Charlie found itdifficult to move on and read more about thesame subject.? ? Your answer Correct answer? on on29. When the weekend comes around, I'm usually sotired out from the week that I just want tosleep.? ? Your answer Correct answer? out out30. She just got back started so she hasn'thad time to finish her homework yet.? ? Your answer Correct answer? started fromPart II: Banked ClozeQuestions 31 to 40 are based on the following passage. Doris spends almost all of her free time in her backyard garden. Her hobby is (31)gardeningbecause Doris loves working with the earth and making things grow. Many people think gardening is (32)pointless because it takes so much timeand you can easily buy fruits and vegetables at thestore. I suppose this point of view is (33)such ideas. Shebecause she appreciates the feeling of creating life, not because she can't afford tomatoes and peppers at the market.Doris knows that most people don't have the patienceorunderstands that it takes a lot of hard work to seeresults, so she doesn't hold aagainst people who think gardening is a waste of time. To Doris, gardening is like an (37)picture, growing vegetables well requires a lot of experience, skill, patience, and (38)Yesterday, Doris spent a perfect afternoon outside, beneath the sun, and crouched in the dirt of hergarden. She wore herT-shirt that says "Doris: Master Gardener," and she harvested a basket full of beautiful fruits andvegetables. Why would anyone choose a different(40)pastime to fill the days? ? Your answer Correct answer? (31) gardening gardening? (32) Pointless Pointless? (33) understandable understandable? (34) toils toils? (35) attention span attention span? (36) grudge grudge? (37) art form art form? (38) dedication dedication? (39) specially specially? (40) Pastime PastimePart III: Reading ComprehensionQuestions 41 to 45 are based on the following passage.Music is almost a universal pastime. People around the world listen to it, play it, and appreciate it.However, world music is a subject that receives little attention in the West. Unfortunately, it's common forpeople in the United States and Great Britain to be completely unfamiliar with the many styles of music found in countries around the world. One of the most different, yet nonetheless beautiful, styles of music is found in Mongolia.Traditional Mongolian music uses a range of instruments, many of which are unique variations of instruments familiar to other cultures, such as the horse head fiddle, lute, trumpet, flute, zither, and drums. The most unique and well-known components of traditional Mongolian music, however, are the solo singing styles known as khuumii and urtiin duu.Khuumii, or throat singing, is performed without instrumental accompaniment, comes from deep in the throat, and produces the effect of two distinct notes at the same time. Khuumii developed in western Mongolia and the present-day Russian Republic of Tuva. The open expanse of the landscape in these regions was favorable for this type of singing, which allowed voices to travel long distances with minimal effort. Today, throat singing has becomeinternationally known. However, many of the actsrecording music and traveling the world are fromRussia. Though many Mongolians still enjoy listening to and singing traditional music, young people (like those in many countries) tend to prefer modern popmusic.Urtiin duu dates back to the 13th century, when the style was practised as a professional art. Urtiin duu relates intricate stories about the naturalbeauty of the land and the rituals of daily life. The vocal style is similar to khuumii in that it takes a talented, practised singer in order to perform well.The sounds are drawn-out and require extreme control of the singer's breath. Some examples of this style have been recorded to have as many as 20,000 verses, thus earning the name "long songs."41. "Music is almost a universal pastime." Which ofthe following statements has the same meaningas thisA. Music is a leisure activity found around the world.B. Music is a required activity foundaround the world.C. Music is a leisure activity found ina few places around the world.D. Music is a required activity found ina few places around the world.42. W ith which of the following statements would theauthor of this passage probably agreeA. World music is an art form thatreceives much recognition in the West.B. Young people always appreciate thetraditional music of their country.C. Most people in London are unfamiliarwith Asian music.D. Traditional Mongolian music is knownthroughout the world.43. W hich paragraph describes a style of singingthat some might consider to be excessivelylengthyA. Paragraph 1.B. Paragraph 2.C. Paragraph 3.D. Paragraph 4.44. W hich of the following sentences from thepassage indicates the author's opinionA. However, world music is a subject thatreceives little attention in the West.B. One of the most different, yetnonetheless beautiful, styles of musicis found in Mongolia.C. Today, throat singing has becomeinternationally known.D. The sounds are drawn-out and requireextreme control of the singer's breath.45. T he author of this passage is _______.A. telling a storyB. presenting informationC. making an argumentD. persuading the reader。
guess the meaning新视野第一册第一单元
The door was so low that I hit my head on the
BOOK1
Unit1
5. By sentences before or after the sentence
e.g.
a. I am a resolute man. Once I set up a goal, I won’t give it up easily. b. After spending three weeks in the woods, Henry was tired of solitude.
Key
a. having great determination or firmness 坚定的，果断的 b. being alone and away from other people 孤独
BOOK1
Unit1
6. By examples
e.g.
Select any of these periodicals: Times, Newsweek or Reader’s Digest.
e.g.
Jane is indecisive, that is, she can’t make up her mind.
Key q
Unable to make decisions or choices
优柔寡断
BOOK1
Unit1
3. By the opposite of the word
e.g.
Jane was talking with others while Eliza remained reticent all the time.
BOOK1
Unit1
Guess what I mean
A Real Hero 真正的英雄 英语作文
真正的英雄英语作文A Real HeroA movie hero is always thought of someone who is strong, smart, and good looking. A real hero is so much more than the usual clichés (n. 陈腔滥调). By definition, a hero is a person who is admired or idealized for courage, outstanding achievements, or noble qualities. Therefore, a hero is courageous (adj. 勇敢的;无畏的), brave, and unselfish.电影中的英雄总是被认为是一个坚强，聪明，好看的人。
一个真正的英雄远不止是这些陈腔滥调。
根据定义，英雄是因勇气、杰出成就或高贵品质而受到钦佩或理想化的人。
因此，英雄是无所畏惧的，勇敢且无私的。
A hero is a person who is courageous（有勇气的,勇敢的,有胆量的）. Courage is the strengths needed to face fears. Every one face difficulties such as loosing a loved one, getting something stolen, etc. But what sets courageous people apart from cowards（n. 懦夫，懦弱的人）is fortitude（n. 坚韧, 刚毅）. Having the will and drive to go and face those difficulties and eliminate（vt. 消除, 排除）them with passion and strength.Having such qualities is a hard thing to find. An example of courage would be Rosa Parks. Mrs. Parks was arrested and sent to jail for refusing to give her seat on a bus up for a white passenger. She went and made a statement because she was passionate about the Civil Rights Movement.英雄是一个充满勇气的人。
高中英语高考高频词固定搭配(介词中心类)(共十二大类)
高考英语高频词固定搭配（介词中心类）.与on相关的固定搭配on duty ［值班，上班］on shift［轮班］on holiday/ on leave ［在度假；在休假中］on business ［为了公事，出差］on purpose ［有目的地，故意地］on time［按时,准时;按时付款］on sale ［廉价出售］on show ［展览着，在公开展出］on board［在船（火车、飞机）上］on hand ［在手边；在场；即将发生］on record［记录在案的；公开发表的］on request ［应要求；承索（即寄等）］on earth ［究竟，到底］on principle［根据原则］1.与for相关的固定搭配for example / instance ［例如］for all ［尽管；虽然］for good［永久地；一劳永逸地］for nothing［免费;徒然］for convenience［为了方便起见］for short ［简称;缩写］for fear ［以免，唯恐；由于害怕］for sale［出售；待售］2.与by相关的固定搭配by weight（ volume size number〜〜）［按重量（体积大小数5）by profession［在职业上；就职业来说］by definition［按照定义；当然地；明显地］by rule［墨守成规地：按照规则地］by turn ［轮流］by chance/ accident［偶然；意外地］by mistake［错误地；由于差错］by hand ［adv.用手］by train （ bus ,taxi ,ship ,boat / air / landby force［强迫地；靠武力；凭藉暴力］by day［在白天；日间］by nature ［天生地；生性］by sight ［凭外貌,凭目视］.与at相关的固定搭配at most［至多］at least ［至少］at best［最多］at worst ［在最坏的情况下；作为最坏的可能性］at once ［马上，立刻］at first［首先］at last ［最后；终于］at home / schoolat will （ at will:任意）［随意；任意］at work［在工作；忙于；起作用］at night / midnight / daybreak / dawnat present［现在］at length［最后，终于；详细地］.与as相关的固定搭配as above［如上；同上］as below / fol lowing ［如下］asever ［一直，依旧］as usual ［往常一样；照例］as before ［依然，依旧，如以前］asa matter of fact ［事实上］3.与above相关的固定搭配aboveall ［首先；尤其是］above measure ［以上措施］above normal ［高于正常的；超额的］4.与before相关的固定搭配beforeall ［尤其,特别］before long［不久以后］before time［提前（等于ahead of time］before now［以前在此以前］before then［那时以前,在这之前］5.与after相关的固定搭配afterall ［毕竟；终究］after class ［下课后；课下］after school ［放学后］6.与out of相关的固定搭配out ofaction［损坏；不运转；失去作用］out of order ［发生故障；次序颠倒］out of condition ［健康状况不好］out of use ［废弃；不被使用］out of operation ［adj.不起作用的；不运转的］out of step ［不合拍；步调不一致］out of joint［脱臼；混乱；心情不好］out of repair［失修的；破损的］out ofgear［失常；齿轮脱开；不工作的］out of balance ［不平衡,失去平衡］out of range ［在射程外］out of doubt / question ［毫无疑问］out ofdate［过时的;过期的；废弃的］out of danger ［脱离危险］out of shape ［走样；身体状况不佳］out of hand［无法控制；脱手，告终；立即］out of place ［adj.不合适的；不相称的；不在适当的位置］out of stock ［adv.已脱销］.与with相关的固定搭配with caution ［adv.慎重；留心］with interest ［有兴趣地；付利息地］with difficulty［困难地；吃力地］with ease［熟练地;不费力地］with confidence［满怀信心地］with advantage / effect［有利地,有效地］with reason ［合理；有道理］with reserve［有保留地,有条件地］with success［成功地］with vigor ［生机勃勃］work with vigor［精力充沛］a face with vigor［面色苍白］grow with vigor ［生机勃勃地生长］axis with vigor ［活力轴线］Energy with Vigor ［精力充沛］With New Vigor ［带着新希望］With Renewed Vigor ［重新焕发活力］Dotted With Green Vigor ［点缀着绿色活力］trumpet with great vigor ［大肆宣扬］with success［成功地］meet with success ［成功获得成功/胜利］be crowned with success ［事情将近成功取得成效功成业就大功告成］bloat get dizzy with success ［得意忘形得意洋洋］Flushed with success ［春风得意］.与beyond相关的固定搭配beyond comprehension / conception ［不可思议，无法理解］bcyondcxprcssion / doubt ［无容置疑，确实地］beyond control ［无法控制］beyond power ［在能力范围之外］beyond description［无法形容，难以形容］beyond reach ［够不着;找不到；消失］beyond measure ［无可估量，极度］beyond grasp ［鞭长莫及,意为“力量达不到”］beyond compare adv.［非常好；无以伦比］beyond controversy / dispute［无可争议］beyond hope ［没希望的；绝望的］beyond example［没有先例，超越示例，空前］.与under相关的固定搭配under age ［adj.未成年的;未到法定年龄的］under discussion［正在讨论中］under way［进行中；航行中;在行进］under lesl［处于试验阶段］under repair［修理中］。
圆的数学定义 英语
圆的数学定义英语Title: The Mathematical Definition of a Circle: A Journey into Geometric PerfectionIn the realm of mathematical geometry, circles hold a unique and captivating place, their elegance and simplicity defying the boundaries of Euclidean space. A circle, by definition, is a two-dimensional shape that forms when all points equidistant from a central point are connected, creating a continuous, circular boundary. This fundamental concept has been studied and revered for centuries, its influence permeating various aspects of mathematics, physics, and art.The circle's mathematical definition begins with its radius, a line segment that connects the center to any point on its circumference. The radius, denoted by 'r,' defines its size and determines the curvature of the circle. The center, often represented by the symbol 'O,' is the point from which all radii emanate. The distance from the center to any point on the circle is the same, a fundamental property that sets it apart from other shapes.The radius is not the only measure in a circle's definition.Circumference, denoted by 'C,' is the total length of the boundary, calculated using the formula 2πr, where π (pi) is a mathematical constant approximately equal to 3.14159. This circumference is the path that a point would take if it were to travel once around the circle. The area, denoted by 'A,' is the region enclosed by the circle, calculated using the formula πr². This area is a measure of the space occupied by the circle.The circle's relationship with other geometric shapes is also crucial. It is the only shape that is both a regular polygon (all sides and angles are equal) and a polygon with the highest number of sides (infinitely many). It is also the parent shape for other shapes like ellipses and ovals, which can be obtained by stretching or compressing a circle.In the realm of algebra, circles play a significant role in equations. The equation of a circle with center (h, k) and radius r is given by (x - h)² + (y - k)² = r². This equation, kn own as the circle's equation in standard form, allows us to find the points that lie on the circle's circumference or determine if a given point lies within it.The circle's symmetries are another fascinating aspect. It is a perfect shape, with every point being equidistant from its center, resulting in 180-degree rotational symmetry. This property is reflected in its reflection across any diameter, which bisects the circle and creates another identical circle.In the context of calculus, circles are central to the study of limits and derivatives. The derivative of the circumference with respect to the radius, for instance, is 2π, reflecting the constant rate of change in the circle's circumference as its radius changes.Lastly, circles have profound implications in physics, particularly in the study of motion. In circular motion, an object moves along a circle with a constant speed, its path described by the equation of a circle. This motion is a fundamental part of understanding circular orbits in celestial mechanics.In conclusion, the mathematical definition of a circle is not just a geometric construct, but a fundamental concept that underpins the understanding of the universe. Its simplicity and elegance have inspired countless mathematical discoveries and applications, from the elegant equations of algebra to the principles of physics. As we delve deeper into the realm of mathematics, the circle remains a constant reminder of the harmony and balance inherent in nature's designs.。
计量经济学导论伍德里奇课后答案中文
2.10(iii) From (2.57), Var(1ˆβ) = σ2/21()n i i x x =⎛⎫- ⎪⎝⎭∑. 由提示：： 21n ii x =∑ ≥ 21()n i i x x =-∑, and so Var(1β) ≤ Var(1ˆβ). A more direct way to see this is to write(一个更直接的方式看到这是编写) 21()ni i x x =-∑ = 221()n i i x n x =-∑, which is less than21n i i x=∑unless x = 0.(iv)给定的c 2i x 但随着x 的增加， 1ˆβ的方差与Var(1β)的相关性也增加.0β小时1β的偏差也小.因此, 在均方误差的基础上不管我们选择0β还是1β要取决于0β,x ,和n 的大小 (除了 21n i i x=∑的大小).3.7We can use Table 3.2. By definition, 2β > 0, and by assumption, Corr(x 1,x 2) < 0. Therefore, there is a negative bias in 1β: E(1β) < 1β. This means that, on average across different random samples, the simpleregression estimator underestimates the effect of the training program. It is even possible that E(1β) isnegative even though 1β > 0. 我们可以使用表3.2。
根据定义，> 0，由假设，科尔（X1，X2）<0。
因此，有一个负偏压为：E （）<。
这意味着，平均在不同的随机抽样，简单的回归估计低估的培训计划的效果。
新风尚大学实用英语第三册课后练习答案for Unit 3
Unit Three Language and CulturePassage A Mother Tongue1.I cannot give you much more than personal opinions on the English language and its variations in this country or others. (Para. 1)(much) more…than: used when comparing two different amounts, numbers etc to introduce the second amount or number 比……多（用于数量等的比较）e.g.Most of the men are not much more than four feet tall．其中大多数的男人身高不足四尺。
However, leadership is much more than courage and daring. 然而，领导不只是勇气及胆识而已。
2. And by that definition, I am someone who has always loved language. (Para. 2)by definition:if something has a particular quality by definition, it must have that quality because all things of that type have it: 按照定义地；当然地；明显地e.g.Adolescents, by definition, are still maturing. 根据定义来说，青春期少年仍未成熟。
3. …the way it can evoke an emotion, a visual image, a complex idea, or a simple truth. (Para. 2)Here, four phrases introduced by ―evoke‖ create a structure of para llelism.In grammar, parallelism is a balance of two or more similar words, phrases, or clauses. The application of parallelism in sentence construction improves writing style and readability.Parallelism is also one of the most useful and flexible rhetorical devices. It refers to any structure which brings together parallel elements, be these nouns, adjectives, verbs, adverbs, or larger structures. Done well, parallelism imparts grace and power to a passage.e.g.She reads the Forbes report, listens to Wall Street Week, converses daily with her stockbroker, reads all of Shirley Maclaine’s books with ease…(Para. 4) 她读《财富福布斯》杂志，听《华尔街周报》广播，每天与股票经纪人对话，所有雪莉·麦克雷恩的书都读得十分顺手。
definition音节划分
definition音节划分definition音节划分为def'i'ni'tion。
definition解析如下：
一、单词读音
英式发音：/ˌdefɪˈnɪʃ(ə)n/
美式发音：/ˌdɛfəˈnɪʃ(ə)n/
二、单词释义
n. 定义，释义，解释
v. 给...下定义，解释，阐明
三、词形变化
动词现在分词：defining
名词复数形式：definitions
动词过去式：defined
动词过去分词：defined
四、词语搭配
dictionary definition 词典上给的定义
synonym definition 同义词释义
by a definition 根据定义,就定义来看
definition of…的定义
五、单词用法
definition 可以作为一个动词，表示解释或阐明某个概念或词语的含义。
六、双语例句
1、I made a definition for this word.
我给这个字下了定义。
2、This photograph lacks definition.
这张照片不清晰。
3、The club must give a clear definition of its goals.
俱乐部必须明确说明它的宗旨。
4、My duties require clearer definition.
我的职责需要更清楚的说明。
5、The photo lacks definition. 这张照片不够清晰。
2014电大英语B阅读理解-
阅读：（一）The French Revolution 。
to Napoleon Bonaparte. (190 words)6. What’s this passage about? C. The French Revolution. 法国大革命7. Which did not happen in 1789? B. The national economy was developing rapidly. 国家经济快速发展。
8. Where were the political prisoners kept? D. In Bastille. 巴士底狱9. What does the underlined word “abolished” mean? D. Ended. 废除。
10. What was NOT the effect of the Revolution? D. The king tried to control the national parliament.（二）A foreigner’s first impression 。
in this country. 。
talking business very quickly. (348 words)11. Which of the following statements is wrong? D. Americans are impolite to their business colleagues.12. In the fourth paragraph, “a high priority” means B. a first concern 要首要考虑的。
13. Americans evaluate a business colleague _ D. by learning about their past performance14. This passage mainly talks about ______ A. how Americans treasure their time 美国人是怎样珍惜时间的。
英语作文关于运动员的拼搏精神
英语作文关于运动员的拼搏精神Athletes, by definition, are individuals who push the boundaries of their physical capabilities, striving for excellence in their chosen sport. However, what truly defines an athlete is not just their physical prowess but their unyielding spirit, their determination to never give up, even in the face of seemingly insurmountable obstacles. The journey of an athlete is fraught with challenges. There are long hours of training, often in gruelling conditions, and the constant pressure to perform at their peak. Yet, it is this pressure and these challenges that bring out the true character of an athlete. It is in these moments of adversity that they show their resilience and determination, pushing themselves beyond their limits to achieve what they believe is possible.The unyielding spirit of athletes is evident not just during competitions but also in their daily training. They know that success is not achieved overnight; it requireshard work, dedication, and perseverance. They are willing to make the sacrifices necessary to reach their goals, whether it's sacrificing time with family, forgoing sleep, or enduring painful injuries.This spirit is not unique to professional athletes; it is something that can be found in athletes of all levels, from the recreational player to the Olympic medalist. It is the driving force that propels them to keep going, even when the odds are stacked against them. It is what makes them rise early in the morning to hit the gym, what keeps them running lap after lap, and what pushes them to give their all in every game, every practice, and every competition.The unyielding spirit of athletes is also evident in their ability to bounce back from failure. They know that setbacks are not permanent; they are merely temporary obstacles that they must overcome to reach their goals. They learn from their mistakes, they adjust their strategies, and they come back stronger, more determined, and more focused than before.The unyielding spirit of athletes serves as an inspiration to us all. It teaches us that with hard work, dedication, and perseverance, we can achieve anything we set our minds to. It reminds us that success is not final, and failure is not fatal; they are merely steps on the journey to achieving our dreams.In conclusion, the unyielding spirit of athletes is what truly defines them. It is their determination, resilience, and perseverance that set them apart from the rest. As we look towards the future, let us draw strength from the unyielding spirit of athletes and use it to pursue our own dreams and goals.**运动员的不屈精神**运动员，顾名思义，是那些不断突破自己身体极限、力求在所选运动项目中达到卓越表现的个体。
英语短语：by+名词短语
英语短语：by+名词短语英语短语：by+名词短语大全【导语】为了方便同学们进行复习，店铺整理了小学期间常用的英语短语如下，希望对大家有帮助。
1) by 表示“凭，靠”：by skill 凭技术pay by cash 凭现金支付by appointment 凭预约learn by rote 死记硬背teach by example 身教by invitation 凭请柬by air 乘坐飞机by hand 手工by intuition 凭直觉by analysis 凭分析by all means 用尽一切办法by no means 决不，根本不by means of 用，依靠by way of 通过…的方法by arrangement 通过安排by contrast 对比之下by force 用武力by road 乘坐汽车，由公路by plane/train/seaby one’s estimate 根据某人的估计2) by表示“ 就……而言，按”：by birth 按出身by profession 按职业来说by trade按职业来说by nature 生来by blood 按血统by origin 就来源而言by education 按所受教育by religion 按宗教来说by definition 根据定义by night/day 夜间/白天3) by表示“因……所致，由于”：by chance 偶然，碰巧by accident 偶然，碰巧by mistake 由于错误by luck 由于运气好by design 由于谋划by good fortune 由于运气好by reason of 由于by virtue of 由于，借助by necessity 必然地，不可避免地英语美文赏析：Change is considerably easier when you have a full complement of supporting partners and unlimited resources. But, since very often it is the shock of a death, divorce or some other life tragedy that unceremoniously tosses us out of our comfort zone to fend for ourselves, it can mean being forced to strike out alone which for many of us is the scariest part of all.当你有很多合作伙伴和无尽的'资源时，改变就更容易发生了。
天津人教版高二选修一英语
天津人教版高二选修一英语1. cultural relics 文化遗产Many unearthed cultural relics were exhibited at the museum.博物馆展出了许多出土文物。
By definition the capital is the political and cultural center of a country. 根据定义,首都是一个国家的政治文化中心。
2. rare and valuable 珍贵稀有It is rare to find such a genius nowadays.这样的天才现在很少见。
The flaw in this vase makes it less valuable. 这个花瓶因为有点缺陷，不那么值钱了。
3. in search of 寻找，寻求 = in search forHe's sailed the seven seas in search of adventure. 他闯荡七大洋去历险.He went to the south in search for a better future.他为了寻找更好的前途到南方去。
4. in the fancy style 以别致的风格in … style/ in the style of ……以……风格These clothes are too fancy for me, I prefer plainer ones. 这些衣服对我来说有些花哨，我还是喜欢素净些的。
5. popularShe is popular at school. 她在学校里很受人喜欢。
This dance is popular with young people. 这种舞很受青年人喜爱。
6. …a treasure decorated with gold and jewels, which took the country’s best artists about ten years to make. 用金银珠宝装饰起来的珍品，一批国家秀的艺术家用了大约十年的时间才把它完成。