必修III 知识点 练习 答案
高中英语必修3全套知识点练习(含答案)
必修3Unit 1Festivals around the world一、单句语法填空1．(2017年天津卷·阅读理解D)We certainly do spend a good deal of our time ________ (wait)．2．—Thank you for helping me with my housework.—It's my ________.3．—Would you like ________ (join) me going to the cinema tonight?—I'd like to, but I promised my mother to go out with her.4．Either you or one of your students ________ (be) to attend the meeting that is due tomorrow. 5．Good teamwork among the players is not easy ________ (get)．6．After I had finished eating, he suggested setting ________ immediately.7．He promised to come，but so far he has not turned __________.8．Having not been given the gift, little Tom ________ (weep) after the ceremony.9．Before building a house, you will have to ask for the government's ________ (permit)．10．I must apologize ________ not being able to meet you.二、单句改错1．Festivals and celebrations of all kinds have held everywhere since ancient times.________________________________________________________________________ 2．Some programs are held to make audience laugh or to satisfy with the audience.________________________________________________________________________3．Let's admire full moon while eating moon cakes tonight.________________________________________________________________________ 4．People love to get together to eat，drink and have fun in each other.________________________________________________________________________ 5．Either you or the headmaster are to hand out the prizes to those gifted students at the meeting. ________________________________________________________________________ 6．She is out of her breath from climbing the stairs.________________________________________________________________________7．I'll keep my words, and I won't tell him anything.________________________________________________________________________ 8．Some all-A students in school have been turned out not to be as successful in society as they were expected.________________________________________________________________________ 9．(2017年天津卷·阅读表达)In the years of my growing up, Dad was strict in me.________________________________________________________________________ 10．(2017年天津卷·阅读表达)As was expected, I got a roasting, but I now understand why I needed discipline.________________________________________________________________________三、完形填空I was in a rush as always, but this time it was for an important date (约会)．I found __1__ at a checkout counter behind an elderly woman seemingly in no hurry as she __2__ her groceries.As PhD student with not a lot of money, I had hurried into the store to pick up some __3__.I was in ahuge rush, thinking of my upcoming evening.I did not want to be __4__ for this date.We were in Boston, a place not always known for small conversations between __5__.However, the woman stopped unloading her basket and looked up at me.She __6__.It was a nice smile—warm and reassuring—and I __7__ her gift by smiling back.“Must be a special lady __8__ it is that will be given those beautiful flowers，” she said. “Yes, she's special，” I said, and then to my embarrassment, the __9__ kept coming out.“It's only our second date, but somehow I am just having the feeling she's ‘the one’．” __10__，I added, “The only problem is that I can't figure out __11__ she'd want to date a guy like me.”“Well, I think she's very __12__ to have a boyfriend who brings her such lovely flowers and who is obviously in love with her，” the woman said.“My husband used to bring me flowers every week—even when times were __13__ and we didn't have much money.Those were extremely good days; he was very romantic and, of course, I __14__ him since he passed away.”I paid for my flowers as she was __15__ up her groceries.There was no __16__ in my mind as I walked up to her.I touched her on the shoulder and said “You were right; you know.These flowers are indeed for a very special lady.” I __17__ her the flowers and thanked her for such a nice conversation.It took her a moment to realize that I was giving her the flowers I had just purchased.“You have a __18__ evening，” I said.I left her with a big smile and my heart __19__ as I saw her smelling the beautiful flowers.I remember being slightly late for my date that night and telling my girlfriend about the story.A couple of years later, when I finally worked up the __20__ to ask her to marry me, she told me that this story had helped her to be determined—that it was in the night that I won her heart. 1．A.me B．myselfC．her D．herself2．A.asked for B．sent forC．looked for D．paid for3．A.food B．drinksC．flowers D．plants4．te B．earlyC．good D．bad5．A.neighbors B．sellersC．wives D．strangers6．A.smiled B．shoutedC．laughed D．cried7．A.received B．returnedC．refused D．forgot8．A.whatever B．wheneverC．whichever D．whoever9．A.chances B．hopesC．words D．tears10．A.Jokingly B．SadlyC．Helpfully D．Carefully11．A.where B．whenC．that D．why12．A.sad B．luckyC．easy D．free13．A.proper B．richC．tough D．nice14．A.lose B．hateC．miss D．love15．A.turning B．givingC．thinking D．gathering16．A.hope B．ideaC．doubt D．problem17．A.sold B．handedC．bought D．made18．A.wonderful B．terribleC．strange D．cold19．A.cooled B．hurtC．recovered D．warmed20．A.courage B．surpriseC．money D．pride四、语法填空(2017年昆明高三两区七校模拟)During a recent Senior Three English lesson, the teacher 1.________ (notice) Xiao Ming, a student, busily typing messages on her cellphone.To the teacher's surprise, Xiao Ming wasn't just texting her friends the latest small talk.She was blogging about what she was learning in the classroom, sharing her opinions 2.________ her classmates.She said she 3.________ (true) enjoyed doing that.The case caused 4.________ heated discussion among citywide teachers and students.Miss Li, another English teacher said, “I am amazed at how 5.________ (create) the students can be when writing on their blogs.To me it's a great way for students to improve their writing skills while writing about personal feelings and experiences.” But 6.________ made other teachers worried was the blog-addiction which may disturb the student's study.A supporter and classmate of Xiao Ming said, “We love her blog! We all read it each day and can't wait to see what she writes about next.Many of her 7.________ (suggest) on study really help to encourage us.And we can relax 8.________ (we) while reading her blog.” Another student blogger admitted that he often works late into the night, 9.________ (write) his blog.He said, “Sometimes I don't even have time 10.________ (finish) my homework.I can't help myself.I really have a lot to say.”五、阅读理解(2016年北京卷)California Condor's Shocking RecoveryCalifornia condors are North America's largest birds, with wing-length of up to 3 meters.In the 1980s, electrical lines and lead poisoning (铅中毒) nearly drove them to dying out.Now, electric shock training and medical treatment are helping to rescue these big birds.In the late 1980s, the last few condors were taken from the wild, and there are now more than 150 flying over California and nearby Arizona, Utah and Baja in Mexico.Electrical lines have been killing them off.“As they go in to rest for the night, they just don't see the power lines，” says Bruce Rideout of San Diego Zoo.Their wings can bridge the gap between lines, resulting in electrocution (电死) if they touch two lines at once.So scientists have come up with a shocking idea.Tall poles, placed in large training areas, teach the birds to stay clear of electrical lines by giving them a painful but undeadly electric shock.Before the training was introduced, 66% of set-free died of electrocution.This has now dropped to 18%. Lead poisoning has been proved more difficult to deal with.When condors eat dead bodies of other animalscontaining lead, they absorb large quantities of lead.This affects their nervous systems and ability to produce baby birds, and can lead to kidney (肾) failure and death.So condors with high levels of lead are sent to Los Angeles Zoo, where they are treated with calcium EDTA, a chemical that removes lead from the blood over several days.This work is starting to pay off.The annual deathrate for adult condors has dropped from 38% in 2000 to 5.4% in 2011.Rideout's team thinks that the California condors' average survival time in the wild is now just under eight years.“Although these measures are not effective forever, they are vital for now，”he says.“They are truly good birds that are worth every effort we put into recovering them.”1．California condors attract researchers' interest because they ________.A．are active at nightB．had to be bred in the wildC．are found only in CaliforniaD．almost died out in the 1980s2．Researchers have found electrical lines are ________.A．blocking condors' journey homeB．big killers of California condorsC．rest places for condors at nightD．used to keep condors away3．According to Paragraph 5, lead poisoning ________.A．makes condors too nervous to flyB．has little effect on condors' kidneysC．can hardly be gotten rid of from condors' bloodD．makes it difficult for condors to produce baby birds4．The passage shows that ________.A．the average survival time of condors is satisfactoryB．Rideout's research interest lies in electric engineeringC．the efforts to protect condors have brought good resultsD．researchers have found the final answers to the problemUnit 2Healthy eating一、单句语法填空1．(2017年新课标Ⅱ卷·完形填空)He had the rare ________ (balance) of fun and compassion (同情)．2．(2016年四川卷·阅读理解B)Dreaming about whether you would want to read minds, see through walls, or have superhuman ________ (strong) may sound silly, but it actually gets to the heart of what really matters in your life.3．As part of ________ healthy diet, eat more fruit and vegetables each day.4．Because of illness, she didn't get much benefit ________ her staying abroad.5．There was a lot of fun at yesterday's party.You ought to________ (come), but why didn't you? 6．The doctor ordered him to go on a diet to lose ________ (weigh)．7．It is not so helpful to give someone some bread as to teach him how to earn a ________ (live)．8．Cut __________ the article so as to make it fit the space available on the paper.9．Your novel will be published ________ long.Be patient please.10．It is not a good idea to have the machine __________ (run) all the time.二、单句改错1．(2017年北京卷·七选五型阅读理解)Support is growing for a theory that sleep evolved so that connections between neurons (神经元) in the brain can be weaken overnight，making room for fresh memories to form the next day.________________________________________________________________________ 2．(2017年北京卷·阅读理解C)Parents ought to be able to opt out only for limit medical or religious reasons.________________________________________________________________________3．As we all know, there is no limit to help the people in trouble.________________________________________________________________________4．It's unfair that he gets away from cheating because he's a famous author.________________________________________________________________________5．As far as I'm concerned, nothing is much important than health.________________________________________________________________________ 6．Walking is extremely beneficial for your body shape.________________________________________________________________________7．In order to make herself more beautiful, she had her hair cutting yesterday.________________________________________________________________________8．As we know, reading books will benefit to us a lot.________________________________________________________________________ 9．She is annoyed with obesity, so she has decided to go on diet to lose weight.________________________________________________________________________ 10．—In this day and age, women can have children and jobs as well.—I can't agree more.It's great to have the two combine.________________________________________________________________________三、完形填空(2016年新课标Ⅱ卷)Hundreds of people have formed impressions of you through that little device (装置) on your desk.And they've never actually __1__ you.Everything they know about you __2__through this device, sometimes from hundreds of miles away.__3__ they feel they can know you __4__ fromthe sound of your voice.That's how powerful the __5__ is.Powerful, yes, but not always __6__.For years I dealt with my travel agent only by phone.Rani, my faceless agent whom I'd never met __7__，got me rock-bottom prices on airfares, cars, and hotels.But her cold voice really __8__ me.I sometimes wished to __9__ another agent.One morning, I had to __10__ an immediate flight home for a family emergency.I ran into Rani's office __11__.The woman sitting at the desk, __12__ my madness, sympathetically jumped up.She gave me a __13__ smile, nodded while listening patiently, and then printed out the __14__ immediately.“What a wonderful lady！” I thought.Rushing out __15__ I called out over my shoulder, “By the way, what's your name？”“I'm Rani，” she said.I turned around and saw a __16__ woman with a big smile on her face waving to wish me a safe trip.I was __17__！Why had I thought she was cold? Rani was, well, so __18__. Sitting back in the car on the way to the airport, I figured it all out.Rani's __19__—her warm smile, her nods, her ‘I'm here for you’ __20__—were all silent signals that didn't travel through wires.1．A.accepted B．noticedC．heard D．met2．A.came B．movedC．ran D．developed3．A.Thus B．YetC．Then D．Indeed4．A.rather B．alsoC．just D．already5．A.telephone B．voiceC．connection D．impression6．A.direct B．usefulC．easy D．accurate7．A.in person B．by myselfC．in public D．on purpose8．A.annoyed B．interestedC．discouraged D．confused9．A.promote B．trainC．find D．know10．A.arrange B．postponeC．confirm D．book11．A.for the first time B．at any timeC．from time to time D．in good time12．A.expecting B．seeingC．testing D．avoiding13．A.shy B．comfortingC．familiar D．forced14．A.bill B．formC．ticket D．list15．A.hopefully B．disappointedlyC．gratefully D．regretfully16．A.careful B．seriousC．nervous D．pleasant17．A.amused B．worriedC．helpless D．speechless18．A.calm B．niceC．proud D．clever19．A.forgiveness B．eagernessC．friendliness D．skillfulness20．A.explanation B．attitudeC．concept D．behavior四、语法填空Oseola McCarty spent more than 75 years 1.________ (wash) and ironing other people's clothes.As a laundry woman, she 2.________ (pay) only a few dollars each time.Certainly nobody would consider her rich, so they were all amazed when Miss McCarty decided to donate $150,000 to the University of Southern Mississippi.The money 3.________ (be) in fact her life savings.She could save such a large amount of money because she lived a very simple life.She never learned to drive, and when she wanted to go somewhere, she just walked.She never flew to anywhere till she donated the money, and in 50 years she had been out of the South only once.The house 4.________ she lived was also a rather modest one 5.________ (leave) to her by her uncle.Only after she became known in America did she begin to travel all over the country.Since then, she had been the subject of many 6.________ (interview) and articles and was even invited to the White House by the president.Her donation was for students who 7.________ (clear) needed financial help 8.________ (receive) education.She herself left school in the sixth grade and had never married 9.________ had children.She said to the reporters that the idea 10.________ helping somebody's child go to college gave her much pleasure.五、七选五型阅读理解(2016年吉林长春普通高中高三质量监测二)Two biggest wealth in life: your talent and your time.Talent increases and time decreases.Our life, in a way, is trading time with talents.Wasting time means our time decreases while our talents do not increase.__1__•Get to know how you use your usual time and make improvementsTake a week and write down what you do every 30 minutes every day and make it into categories.After a week's recording, you'll see which part consumes most of the time.__2__ And you could come up with a revised timetable for your next week.•Use fragment (碎片) time and “dead time”By time recording, you'll be amazed how much time you've wasted in waiting for the bus, queuing, walking, etc.You could really put that time to better use, __3__ Use your fragment time for insignificant matters so that you could have more time for things that really matter.•__4__There're always things to be done every day, and the thing we could do is to identify whether they're urgent or important.The things you need to do for the day rest only on the urgent as well as important things.Don't become slaves to urgent but unimportant things.•Use the 20%－80% principleAt the most efficient time, 20% of time could generate 80% of efficiency and on the contrary, at the least efficient time, 80% of the time could only generate 20% of efficiency.We should be doing important work at the most efficient time.That time period differs from person to person, __5__ Yet generally speaking, it's round 10 in the morning and 3 in the afternoon.After being familiar with those tips, the next thing would be to implement and hold on to it.Do the right thing at the right time, and we shall make our time to its fullest.A．Finish as many tasks as possible.B．Pick three things you must finish today.C．but everyone has a peak effect time.D．That is why we shall save every second and make it count.E．depending on your mentality and physical condition.F．like memorizing English words or making necessary phone calls.G．Make an analysis about the ways you could improve your efficiency.Unit 3The Million Pound Bank Note一、单句语法填空1．(2017年新课标Ⅰ卷·阅读理解B)I work with V olunteers for Wildlife，a ________ (rescue) and education organization at Bailey Arboretum in Locust Valley.Trying to help injured，displaced or sick creatures can be heartbreaking; survival is never certain.2．(2017年北京卷·阅读理解C)When some refuse vaccination and ________ (seek) a free ride，immunity breaks down and everyone is in even bigger danger.3．She ________ (phone) someone, so I nodded to her and went away.4．She ________ (patience) explained all the rules to the students and required everyone to follow her.5．The foreign drivers who break the traffic law and do not pay ________ the spot are likely to be fined up to ￡980.6．Even the best writers sometimes find themselves ________ (lose) for words.7．________ your situation is very bad, it's difficult to feel too sorry for yourself when you look at what is happening elsewhere.8．Working in a team, we have to take ________ account how each individual member works best. 9．Their criticism did not discourage me.________ the contrary, I worked even harder. 10．Yesterday I was wandering in the street when I met my neighbor ________ accident.二、单句改错1．(2017年浙江卷·阅读理解C)At the start of this year, foreigners living in Italy amounted to 4.56 million of a total population of 60.6 million，or 7.5 percent，with immigrants' children accounted for an ever larger percentage of births in Italy.________________________________________________________________________ 2．Don't let your mind wonder during the lecture.________________________________________________________________________ 3．When he woke up, he found himself tie on the tree.________________________________________________________________________ 4．The fact is that I earned a living by working as an unpaid hand, which accounts my appearance. ________________________________________________________________________5．He is such a man who is always finding faults with others.________________________________________________________________________ 6．Weather permitted, we will set off for the warehouse for some bargains.________________________________________________________________________7．He was so a stubborn businessman that he didn't permit anybody to disagree with him.________________________________________________________________________ 8．What a bad choice! If only I sought the wise man's advice before I decided.________________________________________________________________________9．I had just finished writing the novel then the electricity was cut off.________________________________________________________________________ 10．The manager had mercy on the children dressed in rag and gave them some food.________________________________________________________________________三、完形填空(2017年湖北七市联合考试)Mac was cycling along a road in Canada's Yukon, halfway through a 2,750-mile bike tour to Prudhoe Bay, Alaska.He was carrying a 30-pound camping bag, __1__ he wasn't moving very fast.Suddenly he heard loud breathing behind him.“Man, that's a big dog！”he thought.Helooked to the side, but to his great __2__，he saw that it wasn't a dog, but a wolf, running hard to __3__ him.Mac's heart jumped.He reached for the __4__ from his bag.With one hand on the handle bar, he __5__ the spray.A bright red cloud covered the wolf __6__，and it fell back, shaking its head.But a minute later it was by his side again.He sprayed a second time, and the wolf fell __7__ again, but only to quickly restart its __8__.The wolf was getting closer and closer, __9__ a dozen yards away.Mac waved and yelled at passing motorists, but meanwhile __10__ hard.He knew clearly that he must be __11__ not to slow down.Otherwise, he would become a __12__ of the wolf.Paul and Becky were driving along the same road.From a distance, they spotted what they __13__ was a dog running after a man on a bike.As they got __14__，they realized it was a wolf.Mac heard a car coming up behind him, and he slowed down.The car veered (改变方向) around the __15__，and then suddenly stopped in front of him.Mac __16__ off his bike and dashed for the back __17__ of the car.It was locked.Paul quickly __18__ the door so as to let Mac in, and the __19__ man dived in, shutting the door behind him.It was quite a while before Mac became __20__ and cried out: “I thought I was going to die！”And Paul and Becky were glad that they had given a helping hand to people in need.1．A.but B．soC．for D．or2．A.regret B．disappointmentC．fear D．anger3．A.catch up with B．break away fromC．give in to D．come back to4．A.hammer B．stickC．gun D．spray5．A.dropped B．pressedC．threw D．held6．A.in turn B．at lastC．in time D．at random7．A.back B．downC．behind D．over8．A.flight B．raceC．journey D．attack9．A.still B．justC．also D．even10．A.kicked B．rodeC．hit D．pressed11．A.crazy B．wrongC．careful D．fair12．A.victim B．competitorC．killer D．protector13．A.decided B．declaredC．assumed D．found14．A.faster B．closerC．stronger D．wiser15．A.climber B．motoristC．cyclist D．runner16．A.sent B．fellC．turned D．jumped17．A.window B．seatC．door D．trunk18．A.bent B．struckC．blocked D．unlocked19．A.frightened B．worriedC．discouraged D．confused20．A.brave B．calmC．optimistic D．confident四、短文改错(2016年山东潍坊3月一模)假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。
高中数学必修三课后习题答案
高中数学必修三课后习题答案高中数学必修三课后习题答案数学作为一门基础学科，对于学生的学习和发展具有重要的作用。
而在高中数学课程中，必修三是一个关键的阶段，它涵盖了许多重要的数学概念和技巧。
为了帮助学生更好地掌握这门学科，下面将提供一些高中数学必修三课后习题的答案，以供参考。
一、函数与导数1. 已知函数 f(x) = 2x^3 + 3x^2 - 12x + 5，求 f(-1) 的值。
解：将 x = -1 代入函数 f(x) 中，得到 f(-1) = 2(-1)^3 + 3(-1)^2 - 12(-1) + 5 = -2 + 3 + 12 + 5 = 18。
2. 已知函数 f(x) = x^3 - 4x^2 + 5x - 2，求 f'(x) 的表达式。
解：对函数 f(x) 求导，得到 f'(x) = 3x^2 - 8x + 5。
3. 已知函数 f(x) = 2x^2 - 3x + 1，求 f(x) 的极值点。
解：对函数 f(x) 求导，得到 f'(x) = 4x - 3。
令 f'(x) = 0，解得 x = 3/4。
将 x =3/4 代入 f(x) 中，得到 f(3/4) = 2(3/4)^2 - 3(3/4) + 1 = -1/8。
所以，函数 f(x) 的极值点为 (3/4, -1/8)。
二、三角函数与解三角形1. 已知sinθ = 3/5，且θ ∈ (0, π/2)，求cosθ 的值。
解：由三角函数的定义可知，sinθ = 3/5，所以cosθ = √(1 - sin^2θ) = √(1 - (3/5)^2) = √(1 - 9/25) = √(16/25) = 4/5。
2. 已知sinα = 4/5，且α ∈ (π/2, π)，求cosα 的值。
解：由三角函数的定义可知，sinα = 4/5，所以cosα = -√(1 - sin^2α) = -√(1- (4/5)^2) = -√(1 - 16/25) = -√(9/25) = -3/5。
外研版高中英语必修三Module3知识点详解与同步练习(含答案)
考点分布备考指南1.重点单词如experience, bury, occur等的识记、理解、固定搭配。
词汇和短语的理解和记忆不是孤立的，需要结合具体的句子和语境进行准确理解，掌握其基本用法和固定搭配。
同时要对所学单词和短语进行多方面的应用，及时复习巩固。
2.词性转化、固定搭配在语法填空、短文改错中的考查。
3.重点短语如pick up, end up等的理解及应用。
disaster n [,di'zɑ:stə] 灾难flood n [flʌd] 洪水hurricane n ['hʌrikən] 飓风lightning n ['laitniŋ] 闪电thunderstorm n ['θʌndəstɔ:m] 雷暴tornado n [tɔ:'neidəu] 龙卷风column n ['kɔləm] 柱状物；柱状体experience vt [ik'spiəriəns] 经历cause vt [kɔ:z] 引起；导致current n ['kʌrənt] 海流；潮流latitude n ['lætitju:d] 纬度furniture n ['fə:nitʃə] 家具bury vt ['beri] 埋葬feather n ['feðə] 羽毛fur n [fə] （动物的）毛皮occur vi [ə'kə:] 发生tropical adj ['trɔpikəl] 热带的equator n [i'kweitə] 赤道rotating adj旋转的；循环的violent adj ['vaiələnt] 猛烈的；激烈的；强烈的wave n [weiv] 波浪strike vt& n [straik] (struck; striken)（雷电、暴风雨等）袭击cemetery n ['semitəri] 墓地；公墓coffin n ['kɔfin] 棺材ruin vt[‘ruin]毁坏ash n [æʃ] 灰erupt vt [i'rʌpt] （火山的）爆发；喷发lava n ['lɑ:və ] 熔岩；岩浆tidal adj ['taidəl] 受潮水影响的；有涨落的专题解读知识清单单词和短语必修三M3M3单词表volcano n [vɔl'keinəu] 火山previous adj ['pri:vjəs] 以前的eruption n [i'rʌpʃən]（火山的）爆发；喷发possibility n [,pɔsə'biləti] 可能；可能性earthquake n ['ə:θkweik] 地震terrifying adj ['tərifaiiŋ]吓人的；可怕的luckily adv ['lʌkili] 幸运地；幸亏thankfully adv ['θæŋkfulli] 感激地；满怀感谢地hopefully adv ['həupfuli] 满怀希望地；有希望地sadly adv ['sædli] 伤心地；不幸地fortunately adv ['fɔitʃənitli] 幸运地；幸亏warning n ['wɔ:niŋ] 警告worldwide adj ['wə:ld,waid] 全世界的active adj ['æktiv] 积极的；活跃的damage n& v ['dæmidʒ] 损失；损害M3短语pick up 卷起；掀起take off 去掉on average 平均起来end up 以……结束set fire to 放火（焚烧）……catch fire 着火put out 扑灭（火）take place 发生in all 总共；总计项目单词及其词性变化（语法填空必备）重点单词1.disaster n. 灾难2.cause vt. 引起；造成3.bury vt. 埋葬4.occur vi. 发生5.strike vt.& n. (雷电、暴风雨等)袭击6.ruin vt. 毁坏7.active adj. 积极的；活跃的8.damage n.& v. 损失；损害9.experience vt.经历→experienced adj.有经验的10.furniture n.家具→furnish vt.装备；配备11.violent adj.猛烈的；激烈的；强烈的→ violence n.暴力12.possibility n.可能；可能性→possible adj.可能的→impossible adj.不可能的13.terrifying adj.吓人的；可怕的→terrified adj.感到害怕的→terrify vt.使害怕14.luckily adv.幸运地；幸亏→lucky adj.幸运的→luck n.运气15.thankfully adv.感激地；满怀感谢地→thankful adj.感激的16.warning n.警告→warn v.警告重点短语1.pick_up卷起；掀起；拾起；接(某人)；偶然学会；情况转好2.take_off 去掉；脱掉；起飞3.on_average 平均起来4.end_up 结果为……；以……结束5.set_fire_to 放火(焚烧)……6.catch_fire 着火7.put_out 扑灭(火)；生产；制造8.take_place 发生，进行9.plenty_of 许多；大量10.in_all 总共；总计单元知识预览重点单词短语精讲1.experience vt.经历；体验n.经历；经验[教材原句]Do you know anyone who has experienced one of the events?你认识曾经经历过其中一种事件的人吗？experience in/of在……方面的经验by/from experience 通过经验，从经验中experienced adj. 有经验的；熟练的be experienced in 在……方面有经验[例句研读]①From/In my experience, there are three main reasons why people don't cook more often: ability, money, and time.根据我的经验看，人们不经常做饭主要有三个原因：能力、金钱和时间。
人教版高中英语必修三unit3知识点详解与同步练习(含答案)
备考指南本单元重点单词：scene, permit, spot, seek, account, indeed等，这些单词都是完形填空和阅读理解的高频词汇，需要从读音、词性、意义、搭配、活用上进行全面理解和掌握。
并通过不断的应用进行及时巩固和强化。
本单元校本教材会针对重点单词进行反复讲解和练习，方便同学们理解和应用。
其他考纲内的单词需要会读，知道词性和意思，并了解基本用法和搭配，在做题中遇到不影响理解即可。
△Mark Twain 马克·吐温(美国作家)birthplace [ˈbə:θpleis]n.出生地；故乡△Florida [ˈflɔridə] n. 佛罗里达镇（位于密苏里州）佛罗里达州（美国州名）bring [briŋ] up抚养；培养；教育；提出△Hannibal ['hænibəl]n. 汉尼拔（美国城市）△Missouri [mi'zuəri]n. 密苏里州（美国州名）△Mississippi [ˌmisiˈsipi]n.密西西比河；密西西比州（美国州名）novel [ˈnɔvəl]n.小说；长篇故事adj.新奇的；异常的△boyhood [ˈbɔihud]n. 少年时代adventure [ədˈventʃə]n.奇遇；冒险△Tom Sawyer n. 汤姆·索亚（人名）△Huckleberry Finn 哈克贝利·费恩（人名）phrase [freiz]n.短语；词组；惯用语△fathom [ˈfæðəm]n.长度单位（六英尺）author [ˈɔ:θə]n.著者；作家△Samuel Langhorne Clemens塞缪尔·兰霍恩·克莱门斯（人名）scene [si:n]n.（戏剧）一场；现场；场面；景色△narrator [nəˈreɪtə(r)]n.讲述者，叙述者△Roderick ['rɔdərik]n.罗德里克（男名）△Oliver n.奥利弗（男名）△bet [bet]n.赌；打赌vt. & vi.打赌；赌钱△make a bet 打赌△penniless ['penilis]adj.贫困的；身无分文的wander [ˈwɔndə]vi.漫游；漫步；漂泊专题解读知识清单词汇学习与应用必修三Unit3单词表pavement [ˈpeivmənt]n.人行道businessman ['biznismæn]n.商人permit [pəˈmit]vt. & vi.许可；允许；准许n.通行证；许可证；执照ahead [əˈhed]adv. 在前；向前；提前go ahead[əˈhed]前进；（用于祈使句）可以；往下说by accident [ˈæksidənt]偶然；无意中；不小心bay [bei]n.海湾stare [steə]vi.凝视；盯着看stare at盯着看；凝视△nightfall n.黄昏fault [fɔ:lt]n.过错；缺点；故障spot [spɔt]vt.发现；认出n.斑点；污点；地点passage [ˈpæsidʒ]n.船费（包括食宿）；通道；（一）段△unpaid [ʌnˈpeid]adj.未付款的；不受报酬的account [əˈkaunt]vi.& vt.认为；说明；总计有n.说明；理由；计算；帐目account for导致；做出解释embassy [ˈembəsi] n.大使馆；大使及其官员seek [si:k]vt. & vi. (sought, sought) 寻找；探索；寻求patience [ˈpeiʃəns]n.耐性；忍耐contrary [ˈkɔntrəri]n.反面；对立面adj.相反的；相违的on the contrary [ˈkɔntrəri]与此相反；正相反△charity [ˈtʃæriti]n.慈善（团体）；施舍envelope [ˈenvələup]n.信封unbelievable [ˌʌnbɪˈli:vəbl]adj.难以置信的△Horace n.霍勒斯（男名）steak [steik] n. (供煎、烤的)肉块；鱼排；牛排pineapple [ˈpainæpəl]n.菠萝dessert [diˈzə:t]n.餐后甜点amount [əˈmaunt]n.数量take a chance冒险rude [ru:d] adj.粗鲁的；无礼的manner [ˈmænə] n.礼貌；举止；方式scream [skri:m]vi.尖声叫n.尖叫声；喊叫声genuine [ˈdʒenjuin]adj.真的；真诚的△issue [ˈiʃu:]vt. & vi.发行（钞票等）；发布（命令）；出版（杂志等）△fake [feik]n.假货；欺骗adj.假的rag [ræg]n.破布；碎布in rags衣衫褴褛indeed [inˈdi:d]adv.真正地；确实；实在as for关于；至于bow [bəu]vi. & n.鞠躬；弯腰barber [ˈbɑ:bə]n.理发师单元知识预览1.The next morning I’d just abo ut given myself up for lost when I was spotted by a ship.第二天早上，我正感到绝望的时候，一艘船发现了我。
人教版高中英语必修三unit3知识点详解与同步练习(含答案)
备考指南本单元重点单词：scene, permit, spot, seek, account, indeed等，这些单词都是完形填空和阅读理解的高频词汇，需要从读音、词性、意义、搭配、活用上进行全面理解和掌握。
并通过不断的应用进行及时巩固和强化。
本单元校本教材会针对重点单词进行反复讲解和练习，方便同学们理解和应用。
其他考纲内的单词需要会读，知道词性和意思，并了解基本用法和搭配，在做题中遇到不影响理解即可。
△Mark Twain 马克·吐温(美国作家)birthplace [ˈbə:θpleis]n.出生地；故乡△Florida [ˈflɔridə] n. 佛罗里达镇（位于密苏里州）佛罗里达州（美国州名）bring [briŋ] up抚养；培养；教育；提出△Hannibal ['hænibəl]n. 汉尼拔（美国城市）△Missouri [mi'zuəri]n. 密苏里州（美国州名）△Mississippi [ˌmisiˈsipi]n.密西西比河；密西西比州（美国州名）novel [ˈnɔvəl]n.小说；长篇故事adj.新奇的；异常的△boyhood [ˈbɔihud]n. 少年时代adventure [ədˈventʃə]n.奇遇；冒险△Tom Sawyer n. 汤姆·索亚（人名）△Huckleberry Finn 哈克贝利·费恩（人名）phrase [freiz]n.短语；词组；惯用语△fathom [ˈfæðəm]n.长度单位（六英尺）author [ˈɔ:θə]n.著者；作家△Samuel Langhorne Clemens塞缪尔·兰霍恩·克莱门斯（人名）scene [si:n]n.（戏剧）一场；现场；场面；景色△narrator [nəˈreɪtə(r)]n.讲述者，叙述者△Roderick ['rɔdərik]n.罗德里克（男名）△Oliver n.奥利弗（男名）△bet [bet]n.赌；打赌vt. & vi.打赌；赌钱△make a bet 打赌△penniless ['penilis]adj.贫困的；身无分文的wander [ˈwɔndə]vi.漫游；漫步；漂泊专题解读知识清单词汇学习与应用必修三Unit3单词表pavement [ˈpeivmənt]n.人行道businessman ['biznismæn]n.商人permit [pəˈmit]vt. & vi.许可；允许；准许n.通行证；许可证；执照ahead [əˈhed]adv. 在前；向前；提前go ahead[əˈhed]前进；（用于祈使句）可以；往下说by accident [ˈæksidənt]偶然；无意中；不小心bay [bei]n.海湾stare [steə]vi.凝视；盯着看stare at盯着看；凝视△nightfall n.黄昏fault [fɔ:lt]n.过错；缺点；故障spot [spɔt]vt.发现；认出n.斑点；污点；地点passage [ˈpæsidʒ]n.船费（包括食宿）；通道；（一）段△unpaid [ʌnˈpeid]adj.未付款的；不受报酬的account [əˈkaunt]vi.& vt.认为；说明；总计有n.说明；理由；计算；帐目account for导致；做出解释embassy [ˈembəsi] n.大使馆；大使及其官员seek [si:k]vt. & vi. (sought, sought) 寻找；探索；寻求patience [ˈpeiʃəns]n.耐性；忍耐contrary [ˈkɔntrəri]n.反面；对立面adj.相反的；相违的on the contrary [ˈkɔntrəri]与此相反；正相反△charity [ˈtʃæriti]n.慈善（团体）；施舍envelope [ˈenvələup]n.信封unbelievable [ˌʌnbɪˈli:vəbl]adj.难以置信的△Horace n.霍勒斯（男名）steak [steik] n. (供煎、烤的)肉块；鱼排；牛排pineapple [ˈpainæpəl]n.菠萝dessert [diˈzə:t]n.餐后甜点amount [əˈmaunt]n.数量take a chance冒险rude [ru:d] adj.粗鲁的；无礼的manner [ˈmænə] n.礼貌；举止；方式scream [skri:m]vi.尖声叫n.尖叫声；喊叫声genuine [ˈdʒenjuin]adj.真的；真诚的△issue [ˈiʃu:]vt. & vi.发行（钞票等）；发布（命令）；出版（杂志等）△fake [feik]n.假货；欺骗adj.假的rag [ræg]n.破布；碎布in rags衣衫褴褛indeed [inˈdi:d]adv.真正地；确实；实在as for关于；至于bow [bəu]vi. & n.鞠躬；弯腰barber [ˈbɑ:bə]n.理发师单元知识预览1.The next morning I’d just abo ut given myself up for lost when I was spotted by a ship.第二天早上，我正感到绝望的时候，一艘船发现了我。
高中数学 必修3专题(完整知识点梳理及经典例题答案详解)
必修三专题第一节算法与程序框图[最新考纲展示]1．了解算法的含义，了解算法的思想．2．理解算法框图的三种基本结构：顺序结构、条件结构、循环结构．3.了解几种基本算法语句——输入语句、输出语句、赋值语句、条件语句、循环语句的含义．考点一算法的定义算法是指按照一定规则解决某一类问题的明确和有限的步骤．考点二程序框图1．程序框图又称流程图，是一种用程序框、流程线及文字说明来表示算法的图形．2．程序框图通常由程序框和流程线组成．3．基本的程序框有终端框（起止框）、输入、输出框、处理框（执行框）、判断框．考点三三种基本逻辑结构算法的三种基本逻辑结构算法的三种基本逻辑结构为顺序结构、条件结构和循环结构，尽管算法千差万别，但都是由这三种基本逻辑结构构成的．顺序结构顺序结构是由若干个依次执行的步骤组成的，这是任何一个算法都离不开的基本结构，用程序框图表示为：条件结构的概念在一个算法中，经常会遇到一些条件的判断，算法的流程根据条件是否成立有不同的流向，处理这种过程的结构就是条件结构． 条件结构程序框图的两种形式及特征循环结构(1)概念：在一些算法中，经常会出现从某处开始，按照一定的条件反复执行某些步骤的情况，这就是循环结构，反复执行的步骤为循环体．可以用如图①②所示的程序框图表示．名称 形式一 形式二结构 形式特征 两个步骤A ，B 根据条件选择一个执行根据条件是否成立选择是否执行步骤A(2)直到型循环结构：如图①所示，其特征是：在执行了一次循环体后，对条件进行判断，如果条件不满足，就继续执行循环体，直到条件满足时终止循环．(3)当型循环结构：如图②所示，其特征是：在每次执行循环体前，对条件进行判断，当条件满足时，执行循环体，否则终止循环．考点四基本算法语句输入语句格式INPUT“提示内容”；变量功能可以一次为一个或多个变量赋值，实现了算法中的输入功能说明“提示内容”一般是提示用户输入什么样的信息，程序框图中的输入框转化为算法语句就是输入语句输出语句格式PRINT“提示内容”；表达式功能先计算表达式的值，然后输出结果，实现了算法中的输出功能．显然在计算机屏幕上，也就是输出信息，可以是常量、变量的值和系统信息说明程序框图中的输出框转化为算法语句就是输出语句赋值语句格式变量＝表达式功能先计算表达式的值，然后把结果赋值给“＝”左边的变量，此步完成后，“＝”左边变量的值就改变了说明 赋值语句中的“＝”叫做赋值号，它和数学中的等号不一样.条件语句的格式及框图格式一格式二条件 语句 IF 条件 THEN 语句体 END IF语句 功能首先对IF 后的条件进行判断，如果(IF)条件符合，那么(THEN)执行语句体，否则执行END_IF 之后的语句首先对IF 后的条件进行判断，如果(IF)条件符合，那么(THEN)执行语句体1，否则(ELSE)执行语句体2对应 条件 结构 框图循环语句 UNTIL 语句(1)UNTIL 语句的格式：(2)UNTIL 语句的执行过程：当计算机执行上述语句时，先执行一次DO和UNTIL之间的循环体，再对UNTIL后的条件进行判断，如果条件不符合，继续执行循环体；然后再检查上述条件，如果条件仍不符合，再次执行循环体，直到条件符合时为止．这时，计算机将不执行循环体，直接跳到UNTIL 语句后，接着执行UNTIL语句之后的语句．(3)UNTIL语句对应的程序框图：WHILE语句(1)WHILE语句的格式：(2)WHILE语句的执行过程：当计算机遇到WHILE语句时，先判断条件的真假，如果条件符合，就执行WHILE和WEND之间的循环体，然后再检查上述条件，如果条件仍符合，再次执行循环体，这个过程反复进行，直到某一次条件不符合为止，这时计算机将不执行循环体，直接跳到WEND语句后，接着执行WEND之后的语句．(3)WHILE语句对应的程序框图：解决程序框图问题时应注意(1)不要混淆处理框和输入框．(2)注意区分条件结构和循环结构．(3)注意区分当型循环和直到型循环．(4)循环结构中要正确控制循环次数．(5)要注意各个框的顺序．考向一算法的基本结构【例1】(2013年高考江西卷)阅读如下程序框图，如果输出i＝4，那么空白的判断框中应填入的条件是( )A．S<8 B．S<9C．S<10 D．S<11[解析] 由框图及输出i＝4可知循环应为：i＝2，S＝5；i＝3，S ＝8；i＝4，S＝9，输出i＝4，所以应填入的条件是S<9，故选B. [答案] B反思总结1．解决程序框图问题要注意几个常用变量(1)计数变量：用来记录某个事件发生的次数，如i＝i＋1；(2)累加变量：用来计算数据之和，如S＝S＋i；(3)累乘变量：用来计算数据之积，如p＝p×i.2．处理循环结构的框图问题，关键是理解并认清终止循环结构的条件及循环次数．变式训练1．若如下框图所给的程序运行结果为S＝20，那么判断框中应填入的关于k的条件是( )A．k＝9? B．k≤8?C．k<8? D．k>8?解析：据程序框图可得当k＝9时，S＝11；k＝8时，S＝11＋9＝20.∴应填入“k>8？”答案：D考向二程序框图的应用【例2】(2014年广州模拟)阅读如图所示的程序框图，则输出的S ＝________.[解析] 由框图知，程序执行的功能为：S＝(3×1－1)＋(3×2－1)＋(3×3－1)＋(3×4－1)＋(3×5－1)＝3×(1＋2＋3＋4＋5)－5＝40.[答案] 40反思总结1．识别、运行程序框图和完善程序框图的思路(1)要明确程序框图的顺序结构、条件分支结构和循环结构．(2)要识别、运行程序框图，理解框图所解决的实际问题．(3)按照题目的要求完成解答并验证．2．解决程序框图问题时的注意点(1)不要混淆处理框和输入框． (2)注意区分条件分支结构和循环结构． (3)注意区分当型循环和直到型循环． (4)循环结构中要正确控制循环次数． (5)要注意各个框的顺序考向三 基本算法语句【例3】 (2013年高考陕西卷)根据下列算法语句，当输入x 为60时，输出y 的值为( )A ．25B ．30C ．31D ．61[解析] 该语句为分段函数y ＝⎩⎨⎧0.5x ， x ≤50，25＋0.6(x －50)，x >50，当x ＝60时， y ＝25＋0.6×(60－50)＝31，故选C.[答案] C 变式训练2．下面程序运行的结果为( )A．4 B．5 C．6 D．7解析：第一次执行后，S＝100－10＝90，n＝10－1＝9；第二次执行后，S＝90－9＝81，n＝9－1＝8；第三次执行后，S＝81－8＝73，n＝8－1＝7；第四次执行后，S＝73－7＝66，n＝7－1＝6.此时S＝66≤70，结束循环，输出n＝6.答案：C第二节随机抽样[最新考纲展示]1．理解随机抽样的必要性和重要性． 2.会用简单随机抽样方法从总体中抽取样本，了解分层抽样和系统抽样方法．考点一简单随机抽样定义一般地，设一个总体含有N个个体，从中逐个不放回地抽取n个个体作为样本(n≤N)，如果每次抽取时总体内的各个个体被抽到的机会都相等，就把这种抽样方法叫做简单随机抽样分类抽签法(抓阄法)和随机数法特点①简单随机抽样要求总体中的个体数N是有限的．②简单随机抽样抽取样本的容量n小于或等于总体的个体数N③简单随机抽样中的每个个体被抽到的可能性均为nN④逐个抽取即每次仅抽取一个个体⑤简单随机抽样是不放回的抽样，即抽取的个体不再放回总体适用范围当总体中的个体无差异且个体数目较少时，采用简单随机抽样抽取样本考点二系统抽样的步骤一般地，假设要从容量为N的总体中抽取容量为n的样本，我们可以按下列步骤进行系统抽样：[通关方略]1．辨析抽签法和随机数法相同点：(1)都是简单随机抽样，并且要求被抽取样本的总体的个体数有限；(2)都是从总体中逐个地进行抽取，都是不放回抽样．不同点：(1)在总体容量较小的情况下，抽签法比随机数法简单；(2)抽签法适用于总体中的个体数相对较少的情况，而随机数法更适用于总体中的个体数较多的情况，这样可以节约大量的人力和制作号签的成本．2．系统抽样的公平性在系统抽样中，(1)若N能被n整除，则将比值Nn作为分段间隔k.由于起始编号的抽取采用简单随机抽样的方法，因此每个个体被抽取的可能性是一样的．(2)若N不能被n整除，则用简单随机抽样的方法从总体中剔除几个个体，使得总体中剩余的个体数能被n整除，再确定样本．因此每个个体被抽取的可能性还是一样的．所以系统抽样是公平的．考点三分层抽样1．定义在抽样时，将总体分成互不交叉的层，然后按照一定的比例，从各层独立地抽取一定数量的个体，将各层取出的个体合在一起作为样本，这种抽样方法叫做分层抽样．2．分层抽样的应用范围当总体是由差异明显的几个部分组成时，往往选用分层抽样．三种抽样方法的异同点考向一简单随机抽样【例1】第二届夏季青年奥林匹克运动会将于2014年在南京举行，南京某大学为了支持运动会，从报名的60名大学生中选10人组成志愿小组，请用抽签法设计抽样方案．[解析] 第一步：将60名志愿者编号，编号为1,2,3， (60)第二步：将60个号码分别写在60张外形完全相同的纸条上，并揉成团，制成号签；第三步：将60个号签放入一个不透明的盒子里，充分搅匀；第四步：从盒子中逐个抽取10个号签，并记录上面的编号；第五步：所得号码对应的志愿者，就是志愿小组的成员．反思总结简单随机抽样须满足的条件与特点(1)抽取的个体数有限；(2)逐个抽取；(3)是不放回抽取；(4)是等可能抽取；(5)抽签法适于总体中个体数较少的情况，随机数法适用于总体中个体数较多的情况．变式训练1．(2013年高考江西卷)总体由编号为01,02，…，19,20的20个个体组成．利用下面的随机数表选取5个个体，选取方法是从随机数表第1行的第5列和第6列数字开始由左到右依次选取两个数字，则选出来的第5个个体的编号为( )7816 6572 0802 6314 0702 4369 9728 01983204 9234 4935 8200 3623 4869 6938 7481A.08 B．07C．02 D．01解析：由题意知前5个个体的编号为08、02、14、07、01，故选D.答案：D考向二系统抽样【例2】(2014年宿州模拟)一个总体中有100个个体，随机编号为0,1,2，…，99，依编号顺序平均分成10个小组，组号依次为1,2,3，…，10.现用系统抽样方法抽取一个容量为10的样本，规定如果在第1组随机抽取的号码为m，那么在第k组中抽取的号码个位数字与m＋k的个位数字相同．若m＝6，则在第7组中抽取的号码是________．[解析] 由题中的抽取规则可知依次抽取的号码为：6、18、29、30、41、52、63、74、85、96.故第7组中抽取的号码为63.[答案] 63反思总结1．当总体容量较大，样本容量也较大时，可用系统抽样法．2．在利用系统抽样时，经常遇到总体容量不能被样本容量整除的情况，这时可以先从总体中随机地剔除几个个体，使得总体中剩余的个体数能被样本容量整除．变式训练2．采用系统抽样方法从960人中抽取32人做问卷调查，为此将他们随机编号为1,2，…，960，分组后在第一组采用简单随机抽样的方法抽到的号码为9.抽到的32人中，编号落入区间[1,450]的人做问卷A，编号落入区间[451,750]的人做问卷B，其余的人做问卷C.则抽到的人中，做问卷B的人数为( )A．7 B．9 C．10 D．15解析：由系统抽样的特点知：抽取号码间隔为96032＝30，抽取的号码依次为9,39,69，...，939.落入区间[451,750]的有459,489， (729)这些数构成首项为459，公差为30的等差数列，设有n项，显然有729＝459＋(n－1)×30，解得n＝10.答案：C考向三分层抽样【例3】(2013年高考湖南卷)某工厂甲、乙、丙三个车间生产了同一种产品，数量分别为120件，80件，60件．为了解它们的产品质量是否存在显著差异，用分层抽样方法抽取一个容量为n的样本进行调查，其中从丙车间的产品中抽取了3件，则n＝( )A．9 B．10 C．12 D．13[解析]利用分层抽样抽取甲、乙、丙三个车间的产品数量比为120∶80∶60＝6∶4∶3，从丙车间的产品中抽取了3件，则n×313＝3，得n＝13，则选D.[答案] D反思总结进行分层抽样时应注意以下几点(1)分层抽样中分多少层，如何分层要视具体情况而定，总的原则是：层内样本的差异要小，两层之间的样本差异要大，且互不重叠；(2)为了保证每个个体等可能入样，所有层中每个个体被抽到的可能性相同；(3)在每层抽样时，应采用简单随机抽样或系统抽样的方法进行抽样(4)抽样比＝样本容量个体数量＝各层样本容量各层个体数量.第三节 用样本估计总体[最新考纲展示]1．了解分布的意义与作用，会列频率分布表、会画频率分布直方图、频率折线图、茎叶图，理解它们各自的特点．2．理解样本数据标准差的意义和作用，会计算数据标准差． 3.能从样本数据中提取基本的数字特征(如平均数、标准差)，并给出合理的解释． 4.会用样本的频率分布估计总体分布，会用样本的基本数字特征估计总体的基本数字特征，理解用样本估计总体的思想． 5.会用随机抽样的基本方法和样本估计总体的思想解决一些简单的实际问题．考点一 作频率分布直方图的步骤1．求极差(即一组数据中最大值 与 最小值 的差)．2．决定 组距 与 组数 ．3．将数据分组 ．4．列 频率分布表．5．画频率分布直方图[通关方略]探究组距和组数的确定(1)组距的选择应力求“取整”，如果极差不利于分组(如不能被组数整除)，可适当增大极差，如在左、右两端各增加适当范围(尽量使两端增加的量相同)．(2)数据分组的组数与样本容量有关，一般样本容量越大，所分组数应越多．当样本容量不超过100时，按照数据的多少，常分成5至12组．考点二频率分布折线图和总体密度曲线1．频率分布折线图：连接频率分布直方图中各小长方形上端的中点，就得频率分布折线图．2．总体密度曲线：随着样本容量的增加，作图时所分组数增加，组距减小，相应的频率折线图会越来越接近于一条光滑曲线，即总体密度曲线．考点三茎叶图用茎叶图表示数据有两个突出的优点：一是茎叶图上没有原始数据的损失，所有的数据信息都可以从茎叶图中得到；二是茎叶图可以在比赛时随时记录，方便记录与表示．考点四样本的数据特征(1)众数：在一组数据中，出现次数最多的数叫做众数．如果有两个或两个以上数据出现的最多且出现的次数相等，那么这些数据都是这组数据的众数；如果一组数据中，所有数据出现的次数都相等，那么认为这组数据没有众数．(2)中位数：将一组数据按从小到大的顺序依次排列，当数据有奇数个时，处在最中间的那个数是这组数据的中位数；当数据有偶数个时，处在最中间的两个数的平均数是这组数据的中位数．(3)平均数：一组数据的总和除以这组数据的个数取得的商叫做这组数据的平均数，一般记为x ＝1n(x 1＋x 2＋…＋x n )． (4)标准差：标准差是样本数据到平均数的一种平均距离，一般用s 表示．假设样本数据是x 1，x 2，…，x n ，x 表示这组数据的平均数，则s ＝1n [x 1－x 2x 2－x 2x n －x 2].(5)方差：标准差的平方s 2即为方差．则s 2＝1n[(x 1－x )2＋(x 2－x )2＋…＋(x n －x )2]． [通关方略]1．利用频率分布直方图求众数、中位数与平均数利用频率分布直方图求众数、中位数与平均数时，易出错，应注意区分这三者．在频率分布直方图中：(1)最高的小长方形底边中点的横坐标即是众数；(2)中位数左边和右边的小长方形的面积和是相等的；(3)平均数是频率分布直方图的“重心”，等于频率分布直方图中每个小长方形的面积乘以小长方形底边中点的横坐标之和．2．标准差、方差描述了一组数据围绕平均数波动的大小．标准差、方差越大，数据的离散程度越大，标准差、方差越小，数据的离散程度越小，因为方差与原始数据的单位不同，且平方后可能夸大了偏差的程度，所以虽然方差与标准差在刻画样本数据的分散程度上是一样的，但在解决实际问题时，一般多采用标准差．考向一频率分布直方图的应用【例1】某校100名学生期中考试语文成绩的频率分布直方图如图所示，其中成绩分组区间是：[50,60)，[60,70)，[70,80)，[80,90)，[90,100]．(1)求图中a的值；(2)根据频率分布直方图，估计这100名学生语文成绩的平均分；(3)若这100名学生语文成绩某些分数段的人数(x)与数学成绩相应分数段的人数(y)之比如下表所示，求数学成绩在[50,90)之外的人数.[解析](1)由频率分布直方图可知(2a＋0.04＋0.03＋0.02)×10＝1，解得a＝0.005.(2)由频率分布直方图估计这100名学生语文成绩的平均分为55×0.005×10＋65×0.04×10＋75×0.03×10＋85×0.02×10＋95×0.005×10＝73(分)．(3)由频率分布直方图及表中数据得：分数段x y[50,60) 5 5[60,70) 40 20[70,80) 30 40[80,90) 20 25∴数学成绩在[50,90)之外的人数为100－5－20－40－25＝10.反思总结解决频率分布直方图问题时要抓住(1)直方图中各小长方形的面积之和为1.(2)直方图中纵轴表示频率组距，故每组样本的频率为组距×频率组距，即矩形的面积．(3)直方图中每组样本的频数为频率×总体数．考向二茎叶图的应用【例2】(2013年高考安徽卷)为调查甲、乙两校高三年级学生某次联考数学成绩情况，用简单随机抽样，从这两校中各抽取30名高三年级学生，以他们的数学成绩(百分制)作为样本，样本数据的茎叶图如下：(1)若甲校高三年级每位学生被抽取的概率为0.05，求甲校高三年级学生总人数，并估计甲校高三年级这次联考数学成绩的及格率(60分及60分以上为及格)；(2)设甲、乙两校高三年级学生这次联考数学平均成绩分别为x 1、x 2，估计x 1－x 2的值．[解析] (1)设甲校高三年级学生总人数为n .由题意知，30n＝0.05，即n ＝600.样本中甲校高三年级学生数学成绩不及格人数为5，据此估计甲校高三年级此次联考数学成绩及格率为1－530＝56.(2)设甲、乙两校样本平均数分别为x1′、x2′，根据样本茎叶图可知，30(x1′－x2′)＝30x1′－30x2′＝(7－5)＋(55＋8－14)＋(24－12－65)＋(26－24－79)＋(22－20)＋92＝2＋49－53－77＋2＋92＝15.因此x1′－x2′＝0.5.故x1－x2的估计值为0.5分．反思总结由于茎叶图完全反映了所有的原始数据，解决由茎叶图给出的统计图表试题时，就要充分使用这个图表提供的数据进行相关的计算或者是对某些问题作出判断，这类试题往往伴随着对数据组的平均值或者是方差的计算等．变式训练1.如图是某赛季甲、乙两名篮球运动员每场比赛得分的茎叶图，则甲、乙两人比赛得分的中位数之和是________．解析：甲比赛得分的中位数为28，乙比赛得分的中位数为36，所以甲、乙两人比赛得分的中位数之和为28＋36＝64.答案：64考向三用样本的数字特征估计总体的数字特征【例3】甲、乙两名战士在相同条件下各射靶10次，每次命中的环数分别是：甲：8,6,7,8,6,5,9,10,4,7；乙：6,7,7,8,6,7,8,7,9,5.(1)分别计算两组数据的平均数；(2)分别计算两组数据的方差；(3)根据计算结果，估计一下两名战士的射击水平谁更好一些．[解析] (1)x 甲＝110(8＋6＋7＋8＋6＋5＋9＋10＋4＋7)＝7， x 乙＝110(6＋7＋7＋8＋6＋7＋8＋7＋9＋5)＝7. (2)由方差公式s 2＝1n [(x 1－x )2＋(x 2－x )2＋…＋(x n －x )2]可求得s 2甲＝3.0，s 2乙＝1.2.(3)由x 甲＝x 乙，说明甲、乙两战士的平均水平相当；又∵s 2甲>s 2乙，说明甲战士射击情况波动大，因此乙战士比甲战士射击情况稳定．反思总结平均数与方差都是重要的数字特征，是对总体的一种简明的描述，它们所反映的情况有着重要的实际意义，平均数、中位数、众数描述其集中趋势，方差和标准差描述其波动大小．变式训练2．甲、乙两人在一次射击比赛中各射靶5次，两人成绩的条形统计图如图所示，则( )A．甲的成绩的平均数小于乙的成绩的平均数B．甲的成绩的中位数等于乙的成绩的中位数C．甲的成绩的方差小于乙的成绩的方差D．甲的成绩的极差小于乙的成绩的极差解析：由条形统计图知：甲射靶5次的成绩分别为：4,5,6,7,8；乙射靶5次的成绩分别为：5,5,5,6,9，所以x甲＝4＋5＋6＋7＋85＝6；x乙＝5＋5＋5＋6＋95＝6.所以x甲＝x乙．故A不正确．甲的成绩的中位数为6，乙的成绩的中位数为5，故B 不正确． s 2甲＝15[(4－6)2＋(5－6)2＋(6－6)2＋(7－6)2＋(8－6)2]＝15×10＝2，s 2乙＝15[(5－6)2＋(5－6)2＋(5－6)2＋(6－6)2＋(9－6)2]＝15×12＝125，因为2<125，所以s 2甲<s 2乙.故C 正确．甲的成绩的极差为：8－4＝4，乙的成绩的极差为：9－5＝4，故D 不正确．故选C.答案：C第四节变量间的相关关系、统计案例[最新考纲展示]1．会作两个相关变量的数据的散点图，会利用散点图认识变量间的相关关系． 2.了解最小二乘法的思想，能根据给出的线性回归方程系数公式建立线性回归方程． 3.了解独立性检验(只要求2×2列联表)的基本思想、方法及其简单应用． 4.了解回归分析的基本思想、方法及其简单应用．考点一变量间的相关关系1．常见的两变量之间的关系有两类：一类是函数关系，另一类是相关变量；与函数关系不同，相关变量是一种非确定性关系．2．从散点图上看，点分布在从左下角到右上角的区域内，两个变量的这种相关关系称为正相关，点分布在左上角到右下角的区域内，两个变量的相关关系为负相关．[通关方略]相关关系与函数关系有何异同点？共同点：二者都是指两个变量间的关系．不同点：函数关系是一种确定性关系，体现的是因果关系；而相关关系是一种非确定性关系，体现的不一定是因果关系，可能是伴随关系．考点二两个变量的线相关1．从散点图上看，如果这些点从整体上看大致分布在通过散点图中心的一条直线附近，称两个变量之间具有线性相关关系，这条直线叫回归直线。
高中数学必修3各章节知识点梳理及测试题(附加答案).doc
高中数学必修3知识点第一章算法初步1.1.1算法的概念1、算法概念：在数学上，现代意义上的“算法”通常是指可以用计算机来解决的某一类问题是程序或步骤，这些程序或步骤必须是明确和有效的，而且能够在有限步之内完成.2.算法的特点 :(1) 有限性：一个算法的步骤序列是有限的，必须在有限操作之后停止，不能是无限的.(2)确定性：算法中的每一步应该是确定的并且能有效地执行且得到确定的结果，而不应当是模棱两可 .(3)顺序性与正确性：算法从初始步骤开始，分为若干明确的步骤，每一个步骤只能有一个确定的后继步骤，前一步是后一步的前提，只有执行完前一步才能进行下一步，并且每一步都准确无误，才能完成问题 .(4)不唯一性：求解某一个问题的解法不一定是唯一的，对于一个问题可以有不同的算法.(5)普遍性：很多具体的问题，都可以设计合理的算法去解决，如心算、计算器计算都要经过有限、事先设计好的步骤加以解决 .1.1.2程序框图1、程序框图基本概念：（一）程序构图的概念：程序框图又称流程图，是一种用规定的图形、指向线及文字说明来准确、直观地表示算法的图形。
一个程序框图包括以下几部分：表示相应操作的程序框；带箭头的流程线；程序框外必要文字说明。
（二）构成程序框的图形符号及其作用程序框名称功能表示一个算法的起始和结束，是任何流程图起止框不可少的。
表示一个算法输入和输出的信息，可用在算输入、输出框法中任何需要输入、输出的位置。
赋值、计算，算法中处理数据需要的算式、处理框公式等分别写在不同的用以处理数据的处理框内。
判断某一条件是否成立，成立时在出口处标判断框明“是”或“ Y”；不成立时标明“否”或“ N”。
（三）、算法的三种基本逻辑结构：顺序结构、条件结构、循环结构。
第二章统计2.1.1简单随机抽样1．总体和样本在统计学中,把研究对象的全体叫做总体．把每个研究对象叫做个体．把总体中个体的总数叫做总体容量．为了研究总体的有关性质，一般从总体中随机抽取一部分：，，，研究，我们称它为样本．其中个体的个数称为样本容量．2．简单随机抽样，也叫纯随机抽样。
外研版高中英语必修三Module3知识点详解与同步练习(含答案)
考点分布备考指南1.重点单词如experience, bury, occur等的识记、理解、固定搭配。
词汇和短语的理解和记忆不是孤立的，需要结合具体的句子和语境进行准确理解，掌握其基本用法和固定搭配。
同时要对所学单词和短语进行多方面的应用，及时复习巩固。
2.词性转化、固定搭配在语法填空、短文改错中的考查。
3.重点短语如pick up, end up等的理解及应用。
disaster n [,di'zɑ:stə] 灾难flood n [flʌd] 洪水hurricane n ['hʌrikən] 飓风lightning n ['laitniŋ] 闪电thunderstorm n ['θʌndəstɔ:m] 雷暴tornado n [tɔ:'neidəu] 龙卷风column n ['kɔləm] 柱状物；柱状体experience vt [ik'spiəriəns] 经历cause vt [kɔ:z] 引起；导致current n ['kʌrənt] 海流；潮流latitude n ['lætitju:d] 纬度furniture n ['fə:nitʃə] 家具bury vt ['beri] 埋葬feather n ['feðə] 羽毛fur n [fə] （动物的）毛皮occur vi [ə'kə:] 发生tropical adj ['trɔpikəl] 热带的equator n [i'kweitə] 赤道rotating adj旋转的；循环的violent adj ['vaiələnt] 猛烈的；激烈的；强烈的wave n [weiv] 波浪strike vt& n [straik] (struck; striken)（雷电、暴风雨等）袭击cemetery n ['semitəri] 墓地；公墓coffin n ['kɔfin] 棺材ruin vt[‘ruin]毁坏ash n [æʃ] 灰erupt vt [i'rʌpt] （火山的）爆发；喷发lava n ['lɑ:və ] 熔岩；岩浆tidal adj ['taidəl] 受潮水影响的；有涨落的专题解读知识清单单词和短语必修三M3M3单词表volcano n [vɔl'keinəu] 火山previous adj ['pri:vjəs] 以前的eruption n [i'rʌpʃən]（火山的）爆发；喷发possibility n [,pɔsə'biləti] 可能；可能性earthquake n ['ə:θkweik] 地震terrifying adj ['tərifaiiŋ]吓人的；可怕的luckily adv ['lʌkili] 幸运地；幸亏thankfully adv ['θæŋkfulli] 感激地；满怀感谢地hopefully adv ['həupfuli] 满怀希望地；有希望地sadly adv ['sædli] 伤心地；不幸地fortunately adv ['fɔitʃənitli] 幸运地；幸亏warning n ['wɔ:niŋ] 警告worldwide adj ['wə:ld,waid] 全世界的active adj ['æktiv] 积极的；活跃的damage n& v ['dæmidʒ] 损失；损害M3短语pick up 卷起；掀起take off 去掉on average 平均起来end up 以……结束set fire to 放火（焚烧）……catch fire 着火put out 扑灭（火）take place 发生in all 总共；总计项目单词及其词性变化（语法填空必备）重点单词1.disaster n. 灾难2.cause vt. 引起；造成3.bury vt. 埋葬4.occur vi. 发生5.strike vt.& n. (雷电、暴风雨等)袭击6.ruin vt. 毁坏7.active adj. 积极的；活跃的8.damage n.& v. 损失；损害9.experience vt.经历→experienced adj.有经验的10.furniture n.家具→furnish vt.装备；配备11.violent adj.猛烈的；激烈的；强烈的→ violence n.暴力12.possibility n.可能；可能性→possible adj.可能的→impossible adj.不可能的13.terrifying adj.吓人的；可怕的→terrified adj.感到害怕的→terrify vt.使害怕14.luckily adv.幸运地；幸亏→lucky adj.幸运的→luck n.运气15.thankfully adv.感激地；满怀感谢地→thankful adj.感激的16.warning n.警告→warn v.警告重点短语1.pick_up卷起；掀起；拾起；接(某人)；偶然学会；情况转好2.take_off 去掉；脱掉；起飞3.on_average 平均起来4.end_up 结果为……；以……结束5.set_fire_to 放火(焚烧)……6.catch_fire 着火7.put_out 扑灭(火)；生产；制造8.take_place 发生，进行9.plenty_of 许多；大量10.in_all 总共；总计单元知识预览重点单词短语精讲1.experience vt.经历；体验n.经历；经验[教材原句]Do you know anyone who has experienced one of the events?你认识曾经经历过其中一种事件的人吗？experience in/of在……方面的经验by/from experience 通过经验，从经验中experienced adj. 有经验的；熟练的be experienced in 在……方面有经验[例句研读]①From/In my experience, there are three main reasons why people don't cook more often: ability, money, and time.根据我的经验看，人们不经常做饭主要有三个原因：能力、金钱和时间。
高中数学必修3知识点+练习答案及解析
高中数学必修3知识点+练习答案及解析第一部分：知识点全套第一章算法初步1.1.1算法的概念1、算法概念：在数学上，现代意义上的“算法”通常是指可以用计算机来解决的某一类问题是程序或步骤，这些程序或步骤必须是明确和有效的，而且能够在有限步之内完成.2. 算法的特点:(1)有限性：一个算法的步骤序列是有限的，必须在有限操作之后停止，不能是无限的.(2)确定性：算法中的每一步应该是确定的并且能有效地执行且得到确定的结果，而不应当是模棱两可.(3)顺序性与正确性：算法从初始步骤开始，分为若干明确的步骤，每一个步骤只能有一个确定的后继步骤，前一步是后一步的前提，只有执行完前一步才能进行下一步，并且每一步都准确无误，才能完成问题.(4)不唯一性：求解某一个问题的解法不一定是唯一的，对于一个问题可以有不同的算法.(5)普遍性：很多具体的问题，都可以设计合理的算法去解决，如心算、计算器计算都要经过有限、事先设计好的步骤加以解决.1.1.2程序框图1、程序框图基本概念：（一）程序构图的概念：程序框图又称流程图，是一种用规定的图形、指向线及文字说明来准确、直观地表示算法的图形。
一个程序框图包括以下几部分：表示相应操作的程序框；带箭头的流程线；程序框外必要文字说明。
（二）构成程序框的图形符号及其作用学习这部分知识的时候，要掌握各个图形的形状、作用及使用规则，画程序框图的规则如下： 1、使用标准的图形符号。
2、框图一般按从上到下、从左到右的方向画。
3、除判断框外，大多数流程图符号只有一个进入点和一个退出点。
判断框具有超过一个退出点的唯一符号。
4、判断框分两大类，一类判断框“是”与“否”两分支的判断，而且有且仅有两个结果；另一类是多分支判断，有几种不同的结果。
5、在图形符号内描述的语言要非常简练清楚。
（三）、算法的三种基本逻辑结构：顺序结构、条件结构、循环结构。
1、顺序结构：顺序结构是最简单的算法结构，语句与语句之间，框与框之间是按从上到下的顺序进行的，它是由若干个依次执行的处理步骤组成的，它是任何一个算法都离不开的一种基本算法结构。
高中英语必修三知识点练习及问题详解
高一英语必修3词汇复习总结Unit 1 Festivals around the world1.mean doing sth. 意味着mean to do sth. 打算或企图做某事mean sb. to do sth. 打算让某人做某事be meant for 打算作…用2. take place 发生；举行take the place of sb= be in place of sb 替代某人3.of all kinds 各种各样的4.starve to death饿死be starved of sth. 缺乏starve for sth / starve to do 渴望5.be satisfied with感到满意to one’s satisfaction感到满意是...6. in memory of / in honor of . 纪念某人7.do harm to sb. =do sb. harm =be harmful to sb. 伤害某人8.in the shape of呈…的形状9.award sth.(to sb.) =award sb.sth.(for sth.) 给予, 颁奖reward sb. for sth. 因...奖赏某人10.reward sb. with sth. 用某物酬劳某人10.dress up打扮,化装11. admire sb. for sth 在某方面钦佩某人12.look forward to期望, 期待13. have fun with sb. 玩得开心, 过得快乐=have a good time = enjoy oneself. 14. turn up.来, 出现; 把音量开大些15. keep one’s word 守信用16. break one’s word 失信17.set off 动身, 出发; 使（地雷、炸弹）爆炸18. remind sb. of sth. 提醒, 使想起remind sb to do sth 提醒某人做某事19. forgive sb (for) sth 原谅某人某事forgiving adj. 宽容的20.apologize to sb for (doing) sth = make an apology to sb for sth 因某事向某人道歉Unit 2 Healthy eating1.a healthy diet健康饮食 a balanced diet平衡的饮食2.in different way用另外方式3.most often最经常4.feel frustrated感到沮丧5.by lunchtime到午餐时间6.must have happened一定发生过7.be tired of 厌倦8.be amazed at sth. 对...感到惊奇9. throw away扔掉get away with 逃脱10.get across(使)被理解get rid of 摆脱, 除掉get over 克服get through 完成;花光;接通电话get down to doing sth 着手做…11.tell lies说谎12.energy-giving food提供热量的食物body-building foods提供营养的食物13.keep fit保持精力旺盛14.do some research into 做一些...方面的研究15.earn one’s living谋生16.be in debt负债17.glare at怒视stare at 凝视18.move round绕过19.spy on在暗中侦察；打探20.upset sb.使......不安be upset=be unhappy21.rather than而不是22.look ill感到不舒服feel sick感到恶心23.chat(ting) about聊起关于...24.before long不久25.cut down减少cut in插嘴,打断26. build up one’s strengthen增强实力27. be limited to sth受限制于…set a limit to sth 对…规定限度go beyond /over the limit 超过限度within the limits of…在..范围内28.not…have sb doing不允许某人做have sb do 让某人做have sth done 让别人做某事have sth to do 有些事情要做have sth to be done 有些事情需要别人做高一英语必修3知识点归纳（1）Unit 1 Festivals around the world1. mean 的用法1). mean doing sth. “意味着（必须要做某事或导致种结果）”, 其主语通常是指事物的词。
高中英语必修三知识点练习及答案
高一英语必修3词汇复习总结Unit 1 Festivals around the worlddoing sth. 意味着mean to do sth. 打算或企图做某事mean sb. to do sth. 打算让某人做某事be meant for 打算作…用 2. take place 发生；举行take the place of sb= be in place of sb 替代某人3.of all kinds各种各样的to death饿死be starved of sth. 缺乏starve for sth / starve to do 渴望satisfied with感到满意to one’s satisfaction感到满意是...6. in memory of / in honor of . 纪念某人7.do harm to sb. =do sb. harm =be harmful to sb. 伤害某人the shape of呈…的形状9.award sth.(to sb.) =award .(for sth.) 给予, 颁奖reward sb. for sth. 因...奖赏某人10.reward sb. with sth.用某物酬劳某人up打扮,化装11. admire sb. for sth在某方面钦佩某人forward to期望, 期待13. have fun with sb. 玩得开心, 过得快乐=have a good time = enjoy oneself. 14. turn up.来, 出现; 把音量开大些15. keep one’s word 守信用16. break one’s word 失信17.set off 动身, 出发; 使（地雷、炸弹）爆炸18. remind sb. of sth. 提醒, 使想起remind sb to do sth 提醒某人做某事19. forgive sb (for) sth 原谅某人某事forgiving adj. 宽容的20.apologize to sb for (doing) sth = make an apology to sb for sth 因某事向某人道歉Unit 2 Healthy eating1.a healthy diet健康饮食 a balanced diet平衡的饮食different way用另外方式often最经常frustrated感到沮丧lunchtime到午餐时间have happened一定发生过7.be tired of 厌倦amazed at sth. 对...感到惊奇9. throw away扔掉get away with逃脱10.get across(使)被理解get rid of 摆脱, 除掉get over 克服get through 完成;花光;接通电话get down to doing sth 着手做…lies说谎food提供热量的食物body-building foods提供营养的食物fit保持精力旺盛some research into做一些...方面的研究one’s living谋生in debt负债at怒视stare at 凝视round绕过19.spy on在暗中侦察；打探sb.使......不安be upset=be unhappy than而不是ill感到不舒服feel sick感到恶心(ting) about聊起关于... long不久down减少cut in插嘴,打断26. build up one’s strengthen增强实力27. be limited to sth受限制于…set a limit to sth 对…规定限度go beyond /over the limit 超过限度within the limits of…在..范围内28.not…have sb doing不允许某人做have sb do 让某人做have sth done 让别人做某事have sth to do 有些事情要做have sth to be done 有些事情需要别人做高一英语必修3知识点归纳（1）Unit 1 Festivals around the world1. mean 的用法1). mean doing sth. “意味着（必须要做某事或导致种结果）”, 其主语通常是指事物的词。
英语 必修III 知识点 练习 答案.docx
必修Ill-Unit I知识点到世上给人们提供帮助，也有可能带来危害。
to return to London 回到伦敦Return the bill—1 Festivals around the world一、知识点1.Festivals are meant to celebrate important times of year.节日是用来庆祝一年的重要时光的。
I believe he is meant to be a soldier.我相信他天生是要当军人的。
2.Discuss when they take place and what people do at that time.take place发生，举行take the place of代替，替代3.the beauty of the full moon 满月的美4.watch the full moon with family and friends和家人、朋友一起看满月5.Some festivals are held to honour the dead or to satisfy the ancestors, who might return either to help or to do harm.有些节日，是为了纪念死者，或使祖先得到满足，因为祖先们有可能回ook to the library.把书归还给图书馆。
On my return from work, I saw the door was open.我下班回家时,看见门开着。
6・・..go to clean graves and light incense in memory of their ancestors ......... 去上坟、扫墓、烧香，以缅怀祖先。
This musem was built in memory of the great writer -Lu Xun.博物馆是纪念伟大作家鲁迅而建造的。
人教版必修三课后习题答案
人教版必修三课后习题答案人教版必修三课后习题答案在学习过程中，习题是非常重要的一部分。
通过做习题，我们可以巩固所学的知识，提高自己的能力。
而对于人教版必修三的课后习题来说，更是不可或缺的一环。
本文将为大家提供人教版必修三课后习题的答案，帮助大家更好地掌握知识。
一、选择题1.答案：B解析：根据题意，我们可以知道这是一个求导的题目。
对函数f(x)进行求导，得到f'(x)=2x+3。
根据选项可知，只有B选项与f'(x)相等，所以答案为B。
2.答案：C解析：首先我们要知道，当一条直线与坐标轴交于两点时，这条直线的斜率等于这两点的纵坐标之差与横坐标之差的比值。
根据题意，我们可以计算出这两点的坐标为(1, 3)和(4, 6)。
将这两点的坐标代入斜率公式，得到斜率为(6-3)/(4-1)=1。
根据选项可知，只有C选项的斜率与计算结果相等，所以答案为C。
3.答案：A解析：根据题意，我们可以知道这是一个求极限的题目。
当x趋向于无穷大时，函数f(x)的极限等于x的最高次幂的系数与x的幂次数的比值。
根据选项可知，只有A选项的极限与计算结果相等，所以答案为A。
二、填空题1.答案：4解析：根据题意，我们可以知道这是一个求函数值的题目。
将x=2代入函数f(x)，得到f(2)=2^2=4。
所以答案为4。
2.答案：-2解析：根据题意，我们可以知道这是一个求函数值的题目。
将x=-1代入函数f(x)，得到f(-1)=-1-1=-2。
所以答案为-2。
3.答案：-1解析：根据题意，我们可以知道这是一个求函数值的题目。
将x=0代入函数f(x)，得到f(0)=0-1=-1。
所以答案为-1。
三、解答题1.答案：解：根据题意，我们可以知道这是一个求导的题目。
对函数f(x)进行求导，得到f'(x)=3x^2+2x-1。
所以答案为f'(x)=3x^2+2x-1。
2.答案：解：根据题意，我们可以知道这是一个求不定积分的题目。
数学必修3课后复习题答案
数学必修3课后复习题答案数学必修3课后复习题答案在学习数学的过程中，课后复习题是非常重要的一环。
通过解答课后复习题，我们可以巩固所学知识，加深对概念和方法的理解，并检验自己的学习成果。
下面是数学必修3课后复习题的答案，希望对同学们的学习有所帮助。
第一章：函数与导数1. 函数的概念与性质1.1 函数的定义：函数是一种特殊的关系，每个自变量对应唯一的因变量。
1.2 函数的性质：奇偶性、周期性、增减性、单调性等。
2. 导数的概念与计算2.1 导数的定义：函数在某一点的导数表示函数在该点的变化率。
2.2 导数的计算方法：使用导数的四则运算法则和链式法则。
3. 函数的应用3.1 函数的极值：通过求导数，找到函数的极值点。
3.2 函数的图像：通过导数的正负性和极值点，画出函数的图像。
第二章：三角函数1. 弧度制与角度制1.1 弧度制：角度的度量单位，1弧度等于180°/π。
1.2 角度制：角度的度量单位，1°等于π/180弧度。
2. 基本三角函数2.1 正弦函数：y = sin(x)。
2.2 余弦函数：y = cos(x)。
2.3 正切函数：y = tan(x)。
3. 三角函数的图像与性质3.1 正弦函数的图像：周期为2π，振幅为1，对称轴为x轴。
3.2 余弦函数的图像：周期为2π，振幅为1，对称轴为y轴。
3.3 正切函数的图像：周期为π，无振幅，无对称轴。
第三章：指数与对数函数1. 指数函数1.1 指数函数的定义：y = a^x，其中a是常数且大于0且不等于1。
1.2 指数函数的性质：增长速度与底数相关，具有对称性。
2. 对数函数2.1 对数函数的定义：y = loga(x)，其中a是常数且大于0且不等于1。
2.2 对数函数的性质：反映指数函数的逆运算，具有对称性。
3. 指数方程与对数方程3.1 指数方程的解法：将指数方程转化为等式求解。
3.2 对数方程的解法：将对数方程转化为等式求解。
人教版高中英语必修三Unit3DiverseCultures知识点汇总(带答案)
人教版高中英语必修三Unit3DiverseCultures知识点汇总单选题1、They all came to San Francisco to ________ during the gold rush.A．see their fortuneB．take part inC．seek their fortuneD．bring about答案：C考查动词短语辨析。
句意：在淘金热期间，他们都来旧金山寻求财富。
A. see their fortune看到他们的财富；B. take part in参加；C. seek their fortune寻求财富；D. bring about带来。
由“during the gold rush”可知，句子表示“在淘金热期间，他们都来旧金山寻求财富”，空格处意为“寻求财富”。
故选C。
2、-- When can I make an appointment with you, sir?-- What about Wednesday afternoon?-- OK. ______A．Do you have time then?B．T hat’s settled.C．It’s up to you.D．Take your time.答案：B考查情景交际。
句意：--先生，我什么时候能和您预约？--星期三下午怎么样？--好吧。
就这么定了。
A. Do you have time then?那时你有时间吗?B.That’s settled.就这么定了，就这么办；C. It’s up to you.这取决于你，由你说了算；D. Take your time. 别着急，一般指让人做事放松点，不用那么赶时间，或者是让人好好放松地玩。
结合语境，两个人在预约见面的时间，用That’s settled符合语境。
故选B。
3、At that time, although my grandparents ________ little money, they ________ many changes in my father’s life. A．brought in; brought backB．brought out; brought upC．brought down; brought upD．brought in; brought about答案：D考查动词短语辨析。
人教版高中英语必修三Unit3DiverseCultures知识点题库(带答案)
人教版高中英语必修三Unit3DiverseCultures知识点题库单选题1、Though she changed a lot in appearance, I ________ her the moment I saw her. A．recognizedB．admittedC．understoodD．knew答案：A考查动词词义辨析。
句意：虽然她的外表变了很多，但我一见到她就认出她来了。
A. recognized认出；B. admitted承认；C. understood理解；D. knew知道。
结合句意及Though表达的转折语气可知，此处指“虽然她的外表变了很多，但我一见到她就认出她来了”，故选A。
2、When _____ from the top of the hill, the whole city looks more beautiful.A．seeingB．seenC．is seenD．is seeing答案：B考查非谓语动词和省略。
句意：从山顶上看，整个城市看起来更美。
分析句子可知，本句为状语从句的省略句，还原后为：When the whole city is seen from the top of the hill,因从句的主语与主句的主语相同，且从句的动词为be动词，所以主语和谓语可以省略。
故B选项正确。
小提示：状语从句中的主谓省略①在以if、when、though、unless、as、as if等连词引导的从句中，如果从句的主语和主句的主语一致,而且从句中的谓语动词是be，可以将状语从句中的主谓省略。
②如果从句主谓语是it is或it was，可以省略主谓结构， if it is possible, when it is necessary 等都是这种结构。
分析句子可知，本句为状语从句的省略句，还原后为：When the whole city is seen from the top of the hill,因从句的主语与主句的主语相同，且从句的动词为be动词，所以主语和谓语可以省略。
人教版高中英语必修三Unit3DiverseCultures知识点归纳总结(精华版)(带答案)
人教版高中英语必修三Unit3DiverseCultures知识点归纳总结(精华版)单选题1、Please say ______ whether you will be coming or not so that I can arrange everything in advance. A．extremelyB．slightlyC．incrediblyD．definitely答案：D考查副词词义辨析。
句意：请明确告诉我你来不来，以便我提前安排。
A. extremely极其，非常；B. slightly轻微地；C. incredibly难以置信地；D. definitely肯定地，明确地。
根据“so that I can arrange everything in advance”可知，此处表示明确告知是否会来。
故选D。
2、Mr. Smith _________ that he had made a mistake and that he had corrected it. A．acceptedB．admittedC．talkedD．promised答案：B考查动词词义辨析。
句意：史密斯先生承认他犯了一个错误，并且已经改正了。
A. accepted接受；B. admitted承认；C. talked交谈；D. promised承诺。
根据“he had made a mistake and that he had corrected it”可知，史密斯先生承认并改正了错误，admit意为“承认”，符合语境。
故选B项。
3、If everyone can _______traffic rules, car accidents and the loss of lives will be reduced. A．coverB．admitC．recogniseD．observe答案：D考查动词词义辨析。
句意：如果每个人都能遵守交通规则，交通事故和生命损失将会减少。
人教版高中英语必修三Unit3DiverseCultures必考知识点归纳(带答案)
人教版高中英语必修三Unit3DiverseCultures必考知识点归纳单选题1、The ______ of spicy, salty, sweet and sour flavours makes Gong Bao Chicken hard to resist. A．decorationB．constructionC．competitionD．combination答案：D考查名词。
句意：辣、咸、甜、酸的混合口味使宫保鸡丁难以抗拒。
A.decoration装饰；B.construction建造；petition竞争；bination结合。
设空处在句中作主语，结合句意和空后的“of spicy, salty, sweet and sour flavours”可知，此处是指几种口味的结合。
故选D。
2、Please say ______ whether you will be coming or not so that I can arrange everything in advance. A．extremelyB．slightlyC．incrediblyD．definitely答案：D考查副词词义辨析。
句意：请明确告诉我你来不来，以便我提前安排。
A. extremely极其，非常；B. slightly轻微地；C. incredibly难以置信地；D. definitely肯定地，明确地。
根据“so that I can arrange everything in advance”可知，此处表示明确告知是否会来。
故选D。
3、I called the airline to ________ my flight reservation.A．obtainB．admitC．confirmD．appoint答案：C考查动词词义辨析。
句意：我给航空公司打电话以确认我预定的航班。
A. obtain获得；B. admit承认；C. confirm证实，确认；D. appoint任命。
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But some time later it began to rain. 但过了些时候开始下雨了。
no later than 不迟于 sooner or later 迟早later on 后来，以后
I'll tell you all about it later on. 晚些时候我再把有关这一切告诉你。
awarded prizes to the winners. 给优胜者授予奖品
He was awarded the gold medal for being the fastest runner.
他跑得最快,因而获得了金牌。
12. admire the moon and enjoy mooncakes 赏月、品尝月饼
29. ...he thought she would keep heຫໍສະໝຸດ word. 他认为她会守信用的。
Can I have a word with you? 我能和你说几句话吗？
In a word, the situation is serious.总而言之，形势很严峻
No word has come from the battle front. 前线还没有消息传来。
21. You want to invite your friend to come to a party. 你想邀朋友去参加一个晚会。
She invited us to her party. 她邀请我们参加她的聚会。
Questions are invited. 欢迎提问。
22. ask sb for permission to do sth. 要某人同意做某事
I give you my word that I will return. 我向你保证我会回来的。
The boy kept his word. 那孩子信守诺言。
eat one's words
承认说错了话
have words
吵嘴；争论
in other words 换句话说
word for word 逐词地；原原本本地
20. When you eat fish you must be careful with bones.吃鱼的时候要当心鱼刺。
Be careful not to fall off the ladder. 当心别从梯子上掉下来。
You must be careful crossing the road. 你过马路一定要当心。
ask for permission
请求许可
without permission未经许可, 擅自
You have my permission to leave.
你可以走了。
23. make a phone call 打电话
24. Hold /Hang on, please. 请别挂断。
Tell me what she said, word for word. 把她说的一五一十地告诉我。
30. He had looked forward to meeting her all day...他一整天都期盼着见到她......
31. ...he wasn't going to hold his breath for her to apologize. He would drown his sadness in coffee. 他不想屏息等她来道歉，他要用咖啡来解愁。
10. People are grateful because their food is gathered for the winter and the agriculture work is over. 人们心怀感激因为越冬的粮食收集起来了，农活结束了。
I am grateful to you for helping me.
8. dress up 乔装打扮
He is dressed very well.他穿得很漂亮。be dressed in white 穿着白衣服a well [finely] dressed lady 衣着漂亮[讲究]的妇女
Dress yourself quickly.你快点穿衣服。
care much about dress讲究衣着
感谢你的帮助。
Our grateful thanks are due to you. 我们衷心感谢你。
11. Some people might win awards for their farm produce, ...有些人还可能因为他们的农产品而获奖......
The school awarded Merry a prize (for her good work). 学校（因为她工作好而）奖励了梅丽。
必修III--Unit I知识点
III---1 Festivals around the world
一、知识点
1.Festivals are meant to celebrate important times of year. 节日是用来庆祝一年的重要时光的。 I believe he is meant to be a soldier.
我相信他天生是要当军人的。
2. Discuss when they take place and what people do at that time.
take place
发生，举行
take the place of
代替，替代
3. the beauty of the full moon 满月的美
17. Festivals let us enjoy life, be proud of our customs and forget our work for a little while. 节日让我们享受生活，让我们为自己的习俗而自豪，还可以暂时忘掉工作。
18. Today, of course, many people celebrate Christmas as though it were just a holiday to have fun with family, rather than a holiday about a belief. 当然，人们今天庆祝圣诞节好像是一家人欢聚的节日，而不是一个信仰的节日。
Latter
Of the two the latter is far better than the former. 两者中后者比前者好得多。
Latest
the latest news最近的消息
the latest fashion最新式样
Least
He was the one who did the least of the work and got the most of the money.
We all admired her for the way she saved the children from the fire.
她把孩子们从大火中救出来,我们都钦佩不已。
We all admired at his sudden success. 他的突然成功使我们感到惊讶。
13. The most energetic and important festivals are the ones that look forward to the end of winter and to the coming of spring. 最富有生气而又最重要的节日，就是告别冬天、迎来春天的日子。
他就是那个做活最少而拿钱最多的人。
at least起码
He's going away for atleast a week.他起码一星期出去一次。
at the least至少，最少
not in the least 一点也不
16. People love to get together to eat, drink and have fun with each other. 人们喜欢聚在一起吃、喝、玩耍。
This musem was built in memory of the great writer -Lu Xun.
博物馆是纪念伟大作家鲁迅而建造的。
7. On this important feast day, people eat food in the shape of skulls and cakes with "bones" on them. 在这个重要的节日里，人们会吃颅骨形状的食品和装点有骨头的蛋糕。
a summer dress夏装
9. play a trick on sb 作弄某人
The children played a trick on their teacher.
孩子们捉弄了他们的老师。
He tricked me into giving him the money.
他哄骗我给了他钱。
to return to London 回到伦敦
Return the book to the library. 把书归还给图书馆。
On my return from work, I saw the door was open. 我下班回家时，看见门开着。
6. ...go to clean graves and light incense in memory of their ancestors.......去上坟、扫墓、烧香，以缅怀祖先。
The more the young students worked, the more energetic they became. 这些年青学生们越干越有劲。