4-3课时作业
- 格式:doc
- 大小:370.00 KB
- 文档页数:12
课时作业(三) Reading for Writing, Assessing YourProgress&Video TimeⅠ.单词拼写1.The shop________ (收费) less if the customers pay in cash.2.Although he was poor, he was quite________(慷慨的) to his needy friends.3.Oil prices have ________(接近) their highest level for almost ten years.4.In order to ________(保证) success we must have a complete and thorough plan.5.You can learn Standard Chinese, something about Chinese culture and local ________(习俗) as well.6.We walk in the woods and fields that are typical features of the English________(风景).Ⅱ.单句语法填空1.The project is in ________ charge of an experienced worker.2.I am very interested in the camp and eager ________(take) part in it.3.A large amount of time________ (waste) on this project up to now.4.We usually greet each other ________ head nodding, smiles, hand shaking and so on.5.The use of the language is ________ (strike), which also makes the film a success.6.May I have your attention please? I have an ________ (announce) to make.7.Not being a rich man himself, he helped the poor ________ (generous).8.As is known, regular exercise, such as jogging, is an important approach ________ keeping fit.9.We must do everything in our power ________ (ensure) the success of the conference.10.As a result, local hospitals ________ (crowd)with people who had problemswith their noses and lungs.Ⅲ.完成句子1.人们在日常生活中使用塑料,留下大量的废弃物。
4.3.2等比数列的前n项和公式第1课时等比数列的前n项和及其性质课后训练巩固提升A组1.设等比数列{a n}的公比q=3,前n项和为S n,则=()A.3B.9C.40D.解析:根据题意,等比数列{a n}的公比q=3,则S4=a1+a2+a3+a4==40a1,a3=a1q2=9a1,故.答案:D2.设正项等比数列{a n}的前n项和为S n,若S2=3,a3+a4=12,则公比q等于()A.±4B.4C.±2D.2解析:依题意,数列{a n}是正项等比数列,S2=a1+a2=3,a3+a4=(a1+a2)·q2=12,故q==2.答案:D3.设S n为等比数列{a n}的前n项和,8a2+a5=0,则等于()A.11B.5C.-8D.-11解析:由8a2+a5=0,得=q3=-8,q=-2,故=-11.答案:D4.在数列{a n}中,已知对任意正整数n,有a1+a2+…+a n=2n-1,则+…+等于()A.(2n-1)2B.(2n-1)2C.4n-1D.(4n-1)解析:由a1+a2+…+a n-1+a n=2n-1,得a1+a2+…+a n-1=2n-1-1(n≥2),∴a n=2n-1(n≥2).又a1=1,符合上式,∴a n=2n-1,∴=4n-1,∴+…+(4n-1).答案:D5.已知等比数列{a n}共有2n项,它的全部各项的和是奇数项的和的3倍,则公比q=.解析:设{a n}的公比为q,由已知可得q≠1,则奇数项也构成等比数列,其公比为q2,首项为a1,S2n=,S奇=.由题意得,即1+q=3,q=2.答案:26.设S n为等比数列{a n}的前n项和,且S n=3n+1-A,则A=.解析:∵S n为等比数列{a n}的前n项和,且S n=3n+1-A,∴a1=S1=32-A=9-A,a2=S2-S1=(33-A)-(9-A)=18,a3=S3-S2=(34-A)-(33-A)=54.∵a1,a2,a3成等比数列,∴=a1a3,∴182=(9-A)×54,解得A=3.答案:37.已知等比数列{a n}是递增数列,S n是{a n}的前n项和.若a1,a3是方程x2-5x+4=0的两个根,则S6=.解析:因为a1,a3是方程x2-5x+4=0的两个根,且数列{a n}是递增的等比数列,所以a1=1,a3=4,q=2,所以S6==63.答案:638.在等比数列{a n}中,已知S n=189,q=2,a n=96,求a1和n.分析:已知a n,S n,q,可列方程组求a1和n.解:由S n=及a n=a1·q n-1,得①÷②,得,解得2n=64,则n=6.代入①,得a1=3.9.已知等比数列{a n}的前n项和为S n,且S1,S3,S2成等差数列.(1)求{a n}的公比q;(2)已知a1-a3=3,求S n.解:(1)依题意有a1+(a1+a1q)=2(a1+a1q+a1q2).因为a1≠0,所以2q2+q=0.又q≠0,所以q=-.(2)由已知可得a1-a1=3,解得a1=4.从而S n=.B组1.在等比数列{a n}中,若a1+a2+a3+a4+a5=,a3=,则等于()A. B. C.31 D.4解析:设{a n}的公比为q.∵a1+a2+a3+a4+a5=+a3+a3q+a3q2=a3,∴+1+q+q2=.∴=4×=31.答案:C2.已知正项等比数列{a n}的前n项和为S n,若a2=4,a6=,则S6等于()A.-B.C.±D.解析:设等比数列{a n}的公比为q,因为a2=4,a6=,所以q4=,即q2=.因为a n>0,所以q=.于是a1==8,所以S6=.答案:B3.若正项等比数列{a n}满足S3=13,a2a4=1,b n=log3a n,则数列{b n}的前20项和是()A.-25B.25C.-150D.150解析:设正项等比数列{a n}的首项为a1,公比为q,由S3=13,a2a4=1,得解得q=,a1=9.故a n=a1q n-1=9·=33-n.b n=log3a n=log333-n=3-n,则数列{b n}是以2为首项,以-1为公差的等差数列,则S20=20×2+=-150.答案:C4.设各项均为正数的等比数列{a n}的前n项和为S n,a1a3=9,a4=27,则S4=.解析:设等比数列{a n}的公比为q,∵a1a3=9,a4=27,∴∵数列的各项均为正数,∴a1q=3,q2=9,q=3,a1=1,∴S4==40.答案:405.设数列{a n}的前n项和为S n,若S2=5,a n+1=3S n+1,n∈N*,则a2=,S4=.解析:数列{a n}的前n项和为S n,=3S n+1,①则a n=3S n-1+1(n≥2),②①-②,得a n+1-a n=3S n-3S n-1(n≥2),整理得a n+1=4a n,故=4(常数)(n≥2).又a2=3S1+1,即a2=3a1+1,a1+a2=5,得a1=1,a2=4,所以数列{a n}为首项为1,公比为4的等比数列.S4==85.答案:4856.已知等差数列{a n}满足a5=13,a1+a3=8.(1)求{a n}的通项公式;(2)设S n是等比数列{b n}的前n项和,若b1=a1,b3=a4-1,求S6.解:(1)设等差数列{a n}的公差为d,∵等差数列{a n}满足a5=13,a1+a3=8,∴解得a1=1,d=3,∴a n=1+3(n-1)=3n-2.(2)设等比数列{b n}的公比为q,∵在等比数列{b n}中,b1=a1=1,b3=a4-1=9,∴q2==9,解得q=±3.当q=-3时,S6==-182;当q=3时,S6==364.7.已知等比数列{a n}的前n项和为S n,a2=1,S3=.(1)求{a n}的通项公式;(2)求S n,并用S n表示S n+1.解:(1)设等比数列{a n}的公比为q,∵a2=1,S3=,∴a1q=1,a1(1+q+q2)=,联立解得a1=,q=2或a1=2,q=.∴a n=2n-2或a n=22-n.(2)①当a1=,q=2时,S n=,S n+1==2×=2S n+.②当a1=2,q=时,S n==4×,S n+1=4××4×+2=S n+2.。
Period 3 Using language—Grammar & Vocabulary课时作业(三)[基础训练]Ⅰ单词拼写1.We can ________ (克服) any difficulty, however great.答案:overcome2.In the final ________ (一集) we will find out who did the murder.答案:episode3.He is the least ________ (有吸引力的) character, to me at any rate.答案:appealing4.Why are you so ________ (粗鲁的) to your mother?答案:rude5.I have told him about the ________ (安排) of meeting.答案:arrangementⅡ单句语法填空1.________ (cross) the road, the old man was knocked over by a car.答案:Crossing2.________ (work) hard all day, I ________ (go) to bed early.答案:Having worked; went3.He was caught in the rain, thus ________ (make) himself catch cold.答案:making4.All night long he lay awake, ________ (think) of the problem.答案:thinking5.________ (feel) nervous, he didn't speak at the party.答案:FeelingⅢ单句写作1.她上台时人们向她鼓掌。
She ________________ as she came on stage.答案:was applauded2.这些孩子太专注于他们的学习,所以我就坐在后面。
课时分层作业(三)哲学的基本问题(建议用时:30分钟)[基础达标练]对于世界的本原问题,唯物主义与唯心主义长期争论不休。
据此回答1~2题。
1.无论是唯物主义者还是唯心主义者,无论他们争论多么激烈,但是他们始终也逃脱不了一个核心问题的束缚,这个核心问题就是哲学的基本问题。
哲学的基本问题是()A.思维和存在何者为本原的问题B.思维与存在有没有同一性的问题C.思维与存在的关系问题D.世界从何而来的问题C[哲学的基本问题是思维与存在的关系问题,内容包含两个方面:一是何者为第一性;二是思维和存在是否具有同一性。
所以答案为C。
]2.这一问题之所以成为哲学的基本问题,是因为()①它是任何哲学派别都不能回避,必须回答的问题②它是实际工作中正确处理主观和客观关系的根本问题③对这一问题的不同回答决定哲学的性质和方向④它是连接唯物主义和唯心主义的桥梁A.①③④B.②③④C.①②④D.①②③D[对哲学基本问题的不同回答决定哲学的基本派别和发展方向,并非是桥梁和纽带,排除④,故选D。
]2018年11月,首届进口博览会在上海隆重开幕。
据此回答3~4题。
3.办好进口博览会,对于展示我国改革开放以来的巨大成就和文明进步形象、促进我国同世界各国各地区交流合作,具有十分重要的意义;对于妥善应对促进世界经济复苏,也将发挥积极作用。
国家对举办进口博览会意义和作用的准确把握体现了()A.思维与存在具有同一性B.思维决定存在C.思维与存在不具有同一性D.世界观与方法论的统一性A[国家对举办进口博览会意义和作用的准确把握,就是思维对存在的正确认识,即思维与存在之间具有同一性,故选A项。
C项观点与题意相反,排除。
B、D两项偏离题意。
]4.以是否认同上题的结论为依据,可以把哲学划分为()①唯物主义②唯心主义③可知论④不可知论A.①②B.③④C.①③D.②④B[上题指向思维与存在的同一性问题,据此哲学分为了可知论与不可知论,故选B项。
]5.神话故事常常反映人类童年时期对自然界、人与自然关系等方面的思考。
课时作业11Section ⅢGrammarⅠ.在空格处填入语法形式正确的词。
1.Unless we have enough evidence, we can't win the case.解析:句意:除非我们有足够的证据,不然我们赢不了这个官司。
unless 除非。
2.He is so busy. He cannot afford enough time with his son even if he wants to.解析:句意:他很忙,他没有足够的时间陪他的儿子,即使他想(花时间跟他儿子在一起)。
even if “即使”。
3.One can always manage to do more things, no matter how full one's schedule is in life.解析:no matter how 引导让步状语从句。
句意:一个人总是能设法做更多的事,无论他的生活时间表有多么满。
4.—Peter told me he wanted to come with us. Is it OK for you?—I don't mind as long as he pays for his meals.解析:句意:——彼得告诉我他想和我们一起去。
你认为可以吗?——只要他自己付饭钱,我不介意他去。
as long as 只要。
5.Allow children the space to voice their opinions even if/though they are different from your own.解析:句意:要允许孩子们有发表自己观点的空间,即使这些观点和你的不一样。
even if/though 即使。
6.Whatever great progress you have made, you should remain modest.解析:句意:不管你取得多大的进步,你都应该保持谦虚。
第3课时价值的制造与实现一、在劳动和奉献中制造价值1.劳动着的人是幸福的(1)人在劳动中,制造________,奉献社会。
(2)人的幸福感,与他在劳动中制造的________成正比。
2.劳动是人的存在方式(1)人在劳动中彰显和发挥自己的________和__________、________和________,实现和证明自己的价值。
(2)在社会主义社会,________是制造人类奇怪生活、促进人的自由全面进展的重要手段。
3.努力奉献的人是幸福的(1)不想奉献他人和社会的人,永久不行能拥有真正的幸福。
(2)拥有幸福人生的______________是乐观投身于________________的实践。
***实现人生价值的根本途径是乐观投身于社会实践;劳动是人的本质活动,是人的生命活动的基本形式,是人的本质力气的现实表现,是人之为人的内在本性。
***二、在个人与社会的统一中实现价值1.人们实现人生价值的基础是社会供应的客观条件,即人的________条件和________条件、__________条件和________条件。
2.在奉献社会中实现自己的价值,必需正确处理__________、____________的关系。
3.人的共性进展表现于对他人、对社会的独特的__________。
***实现人生价值离不开“个人奋斗”,“个人奋斗”和“自我实现”必需以社会供应的客观条件和社会的需要为前提,必需利用社会和他人供应的各种物质条件和学问成果。
完全脱离社会的“个人奋斗”和“自我实现”,是注定要失败的。
***三、在砥砺自我中走向成功1.实现人生价值,需要充分发挥__________,需要__________、____________的精神。
2.实现人生价值,需要努力进展自己的才能,全面提高____________。
3.实现人生价值,需要有坚决的________________,需要正确__________的指引。
4.3.1 对数的概念必备知识基础练1.下列说法正确的是( ) A .因为12=1,所以log 11=2 B .因为32=9,所以log 39=2 C .因为(-3)2=9,所以log -39=2 D .因为32=9,所以log 92=32.已知a 23=5(a >0),则log a 5=( )A .2B .3C .32D .233.若log x 7y =z ,则( ) A .y 7=x z B .y =x 7zC .y =7xD .y =z 7x4.若log x 127=-3,则x =( )A .81B .181C .13 D .35.将指数式e 3=n 化为对数式,其中正确的结果为( )A .log3e =n B .log n e = 3C .ln 3=nD .ln n = 36.(多选)下列指数式与对数式互化正确的是( ) A .54=625与log 4625=5 B .10-2=0.01与lg 0.01=-2 C .(12)-4=16与log -416=12D .912=3与log 93=127.[2022·广东揭阳高一期末]若2x=3,则实数x 的值为________. 8.计算:=________.关键能力综合练1.设log a 2=m ,log a 3=n ,则a 2m +n的值为( )A .12B .16C .6D .182.方程2log 3x =14的解是( )A .x =19B .x =33C .x = 3D .x =93.已知log 3(log 5a )=log 4(log 5b )=0,则a b的值为( ) A .1 B .-1 C .5 D .154.若f (10x)=x ,则f (3)等于( ) A .3 B .103C .310D .lg 35.若2x=6,log 443=y ,则x +2y 的值是( )A .3B .13C .log 23D .-36.(多选)有以下四个结论,其中正确的有( ) A .lg (lg 10)=0 B .lg (ln e)=0 C .若e =ln x ,则x =e 2D .ln (lg 1)=0 7.24+log 25=________.8.已知log 3(log 4x )=0,log 2(log 3y )=1,则x +y =________. 9.求下列各式中x 的值. (1)log x 64=4; (2)ln e =-x ; (3)log 2[log 3(log 2x )]=1.10.计算下列各式:核心素养升级练1.在N =log (5-b )(b -2)中,实数b 的取值范围是( ) A .b <2或b >5 B .2<b <5 C .4<b <5 D .2<b <5且b ≠42.若正数a ,b 满足2+log 2a =3+log 3b =log 6(a +b ),则1a +1b的值为________.3.已知log 2[log 12(log 2x )]=log 3[log 13(log 3y )]=log 5[log 15(log 5z )]=0,试比较x ,y ,z 的大小.4.3.1 对数的概念必备知识基础练1.答案:B解析:因为当a b=N (a >0且a ≠1)时,b =log a N ,所以选项A 的底数为1,是错误的,选项C 的底数为负数,是错误的,32=9的底数为3,所以化为对数后底数也应为3,所以B 正确,D 错误.2.答案:D解析:因为a 23=5(a >0),所以log a 5=23.3.答案:B解析:由log x 7y =z ,得x z =7y ,y =x 7z. 4.答案:D解析:因为log x 127=-3,所以127=x -3,即x 3=27,所以x =3.5.答案:D解析:由a n=m 有n =log a m ,结合题设,则有3=ln n . 6.答案:BD解析:对于A ,54=625可化为:log 5625=4,故不正确; 对于B ,10-2=0.01可化为:lg 0.01=-2,故正确; 对于C ,(12)-4=16可化为:log 1216=-4,故不正确;对于D ,912=3可化为:log 93=12,故正确.7.答案:log 23解析:因为2x=3,所以x =log 23. 8.答案:7解析:(12)-log 27=(2-1)-log 27=2log 27=7.关键能力综合练1.答案:A解析:由指对互化公式可知a m =2,a n =3,则a 2m =(a m )2=4,a 2m +n=a 2m ·a n=4×3=12.2.答案:A 解析:由题得2log 3x =2-2,∴log 3x =-2,∴x =3-2=19.3.答案:A解析:由log 3(log 5a )=0得log 5a =1,即a =5,同理b =5,故a b=1. 4.答案:D解析:由10x =3,得x =lg 3.又f (10x)=x ,所以f (3)=lg 3. 5.答案:A解析:因为log 443=y ,则4y =22y =43,所以,2x +2y =2x ·22y =6×43=8=23,故x +2y =3.6.答案:AB解析:lg (lg 10)=lg 1=0,lg (ln e)=lg 1=0,所以A ,B 均正确; C 中若e =ln x ,则x =e e,故C 错误; D 中lg 1=0,而ln 0没有意义,故D 错误. 7.答案:80 解析:因为24+log 25=24×2log 25=16×5=80.8.答案:13解析:由log 3(log 4x )=0得log 4x =1,得x =4, 由log 2(log 3y )=1,log 3y =2,得y =32=9. 所以x +y =4+9=13.9.解析:(1)由log x 64=4可得x 4=64,且x >0,所以x =2 2. (2)由ln e =-x 得e -x=e =e 12,所以-x =12,x =-12.(3)由log 2[log 3(log 2x )]=1得log 3(log 2x )=2,所以log 2x =32,所以x =29=512. 10.解析:(1)原式=21+0+2=2+2=4. (2)原式=3log 34-1+20=3log 34×3-1+1=43+1=73.核心素养升级练1.答案:D解析:由对数的意义得⎩⎪⎨⎪⎧b -2>05-b >05-b ≠1,解得2<b <5且b ≠4.所以实数b 的取值范围是2<b <5且b ≠4.选D.2.答案:108解析:因为正数a ,b 满足,2+log 2a =3+log 3b =log 6(a +b ),所以设2+log 2a =3+log 3b =log 6(a +b )=x ,则a =2x -2,b =3x -3,a +b =6x,∴1a +1b =a +bab=6x2x -2·3x -3=62×3=108.3.解析:由log 2[log 12(log 2x )]=0, 得log 12(log 2x )=1,log 2x =12,即x =212;同理y =313,z =515.∵y =313=326=916,x =212=236=816, ∴y >x .又x =212=2510=32110,z =515=5210=25110, ∴x >z ,∴y >x >z .。
课时作业(二十一)必修4Module 3 Body Language and Non-verbalCommunication班级:姓名:建议时间 / 40分钟基础检测Ⅰ.词形转换1.Your (perform) during the month is really impressive. So I am pleased to inform you that you have been officially hired.st week we arrived at a remote village; the only means of (communicate) is the only phone in the village administration.3.The old house looks the same as before, but in fact, it has been (slight) changed. For example, some windows have been replaced.4.I hope you weren't influenced by anything that your brother said. You should act on your own (judge).5.Cafe Artista offers a wide (vary) of sandwiches, which are very popular with customers.Ⅱ.单句填空6.It was reported that many people were held by the snowstorm on their way to work.7.There were too many people, you know,(involve) in the matter.8.Nothing is permanent. good or bad a situation is now, it will change.9.They demanded I present at the meeting to be held tomorrow because of its importance.10.Before planes take off, all the passengers on board are requested (fasten) their seat belts.Ⅲ.短语填空11.The police (值班) were keeping an eye on the surroundings closely so the prisoner had to give up escaping.12.I (达成协议) with her that I am going to stop working when I am 60.13.Being lucky in life is when you have the life you want and it seemingly happens(偶然).14.The computer can be used to (打开) the entire equipment on the electric station.15.Most of the educators are (赞成) providing more freedom to the teenagers, believing that it may make them more creative and independent.Ⅳ.句型训练16.(马云每次感到泄气), he will watch Forrest Gump.17.I was wondering(你能否帮我个忙)?18.English(学起来很困难). Nobody can learn to use it in a few minutes.19.I'm interested in body language, (因文化不同而稍有差异).20.These eight planets, together with the sun, make up (所谓的) our solar system.能力提升Ⅴ.阅读理解When I was in college, I spent a semester studying abroad at the University of Strathclyde in Glasgow, Scotland. In my brief time there, I came to love Scotland for its local culture, food and scenery.You might think,“Scotland isn't so different from the US; they still speak English there!” But when I stepped off the plane, I was greeted by a gruff-voiced(声音粗哑的) lady at customs. “You'll be coming from America, then?” She asked me, and I nodded. “But all of our guys are leaving Glasgow for the UnitedStates!” Her thick Scottish English and sense of humour were obvious right away. I was not in the US any more, where customs agents never joke around.As I settled in at the university, I could feel myself getting used to hearing—and even speaking—the Scottish English of my customs agent. In classroom discussions, people would say “em” when they couldn't think of what to say instead of “um”, which was great fun. After the first few weeks, I stopped chuckling about this. Students in the University of Strathclyde stayed up late into the night, running around campus and shouting,“Go! Let's go. Let's go. Let's go [curse word] Glasgow!” Pretty soon, I was no longer saying “thanks” at the supermarket—instead, I said “cheers”.My Scottish friends drank whiskey and ate haggis(羊杂碎肚). I drank plenty of whiskey but I'm ashamed to admit that I wasn't brave enough to try haggis. Scottish bakeries usually sell bridies (肉馅饼). Add a cup of tea—though I usually Americanized it by choosing coffee instead—and a bridie makes for a delicious breakfast.Every time I took a train anywhere in Scotland, I'd gaze out at the rolling hills and wonder if grass was greener than anywhere else in the world. Then I'd reflect that there's a reason why this country wasthe birthplace of golf.21. What did the author think of the lady at customs?A.Impolite.B.Friendly.C.Serious.D.Calm.22. Which of the following can replace the underlined word “chuckling” in Paragraph 3?A.Talking loudly.paring.ughing quietly.D.Hearing.23. What is the author's purpose in writing the text?A.To explain why Scotland was famous for golf.B.To promote the development of Scottish catering trade.C.To introduce different pronunciations of “em”and “um”.D.To share his experiences in Scotland as an exchange student.Ⅵ.完形填空I was the fool at school, regarded as a special needs student. I was termed as such. Obviously, because I was not interested in school and did not care for my 24.Over time, I started to believe in my stupidity. I 25 the fact that I was in special needs classes and poured it out as anger and depression. But one activity 26 this view of myself: chess.I started to play chess with my father after school 27 because I wanted to beat him at something. My father was a 28 man, fond of physics, writing, religion,…, almost every field. He was called a walking dictionary. So, winning in chess against my father would be a 29 that I had intellectual power. On the small chessboard, I had a chance to 30 my so-called inability.Game after game, I wanted to beat my father even more. I started to study chess books and play against a chess computer to 31 my skills. One weekend, I finally checkmated(将死) my father on a ferry ride, which made me feel 32.Two years later, I became the second board 33 my school chess team, with our top board being the best high school player in the state. But before the tournament season, our top player 34 to come. There came my chance to play as top board against the best players in other states.I was determined to show who I had become: a(n)35 person able to win with calculation, logic and will. My most 36 game came in the final round. Our team was facing a high school which only excellent students attended. It was 37 a match between a special needs student and a smart soul. My opponent(对手) was playing well and kept 38 while I kept defending to keep my king safe. He spent long trying to break down my defense, but could not find the final push. I 39 with more defensive moves, trying to make it as difficult for him as possible. With little 40 left, he started to make rapid moves. 41 he could make the final decision, he ran out of time. Honestly, as his clock flag fell, I jumped up out of my seat and kissed the floor out of excitement. Of course it was not the most sportsmen-like 42, but I couldnot control my emotions.While holding my winner's cup, I knew I was not 43. The inferiority complex(自卑感) had melted away, and I realized that underneath our thoughts, each person is a genius.24. A.habits B.gradesC.plansD.benefits25. A.noticed B.explainedC.acceptedD.ignored26. A.changed B.supportedC.questionedD.showed27. A.especially B.obviouslyC.simplyD.hopefully28. A.smart B.strictC.quietD.strong29. A.dream B.lessonC.theoryD.sign30. A.turn over B.turn downC.get overD.get through31. A.teach B.sharpenC.chooseD.invent32. A.overjoyed B.disappointedC.puzzledD.interested33.A.for B.withC.ofD.on34. A.promised B.managedC.happenedD.failed35. A.brave B.luckyC.activeD.intelligent36. A.terrible B.memorableC.dangerousD.popular37. A.normally B.possiblyC.actuallyD.partly38. A.attacking B.smilingC.pausingD.escaping39. A.returned B.quitC.wonD.exchanged40. A.patience B.timeC.energyD.wisdom41. A.Once B.UntilC.BeforeD.Unless42. A.spirit B.thoughtmentD.behaviour43. A.proud B.stupidC.brightzyⅦ.语法填空阅读下面短文,在空白处填入1个适当的单词或括号内单词的正确形式。
选择性必修三3 Unit4 Using Language第三课时作业一、完成单词默写并选词填空1.adj. 符合资格;具备……的知识(或技能、学历等)→v. 取得资格,有资格→ n.资格,条件;合格证书2.adj. 热情的;热心的→ adv.热心地;满腔热情地→ n. 热心;热忱;热情→ n.热心者;爱好者3.v.忍耐,忍受,持续→ n. 忍耐力;耐久力4.adj.相当不错的;正派的;得体的→ adv. 合适地;正派地5.adj. 真正的;真诚的;可信赖的→ adv. 真诚地;诚实地6.n. 毅力;韧性;不屈不挠的精神→ vi. 坚持;孜孜以求7.vi. & vt.决定;决心;解决(问题或困难) n. 决心;坚定的信念→ adj. 下定决心的,坚决的→ n. 决议;解决;坚定8.adj. 残酷的;残忍的;冷酷的→ adv. 残酷地→n. 残酷;残忍;残酷的行为9.adj. 深入的;彻底的;细致的→ adv. 非常,极其;仔细,缜密;彻底10.adv. 不幸地;遗憾地→ adv. 幸运地1.Dottie hasn’t graduated from college, so she is not (qualify) for a surgeon.2.The audience cheered him (enthusiastic).3.I envy his (endure),perseverance and resolution shown in his work. 4.People dressed themselves (decent) and flocked to the square for the celebration.5.This lady was (genuine) surprised at what happened to her decent banjo.6.He has never stopped trying and showed great (persevere). 7.The lawyer’s advice led to the (resolve) of this difficult problem. 8.It was the most extreme example of (cruel) to animals I had ever seen.9.They discuss issues (thorough).10.(fortunately),I hurt my knee when I fell down on the ice.二、完成短语默写并选词填空1.turn down2.throw away3.hold on4.go from bad to worse5.set off1. to your dream and you will succeed.2.They are all great offers from large companies,and I couldn’t any of them.3.Under the new management things have .4.It was raining hard when we .5.You’d better not those books.三、课文语法填空Although not 1.________ (allow) to join the expedition to the South Pole, Perce Blackborow managed 2.________ (go) aboard the Endurance and worked as a steward there. Their voyage didn't go smoothly and the ship was stuck in the ice. Before the ship was crushed and 3.________ (sink) into the sea, Shackleton gave the order to abandon ship with only essential 4.________ (supply). The crew had to camp on ice, but with spring coming, 5.________ was dangerous to stay there.They then sailed to Elephant Island. Things went from bad to worse. Soon after their arrival, Shackleton set off for South Georgia Island to seek for help. They were cold and hungry. To keep 6.________ his spirits, Perce tried to think of happier things. However, these happy memories 7.________ (interrupt) by a sudden cold rush of air.Perce lost his patience 8. (gradual) but soon realized his mistake thanks to Frank's concern. He thought he should be 9.________ (grate) to Frank and Shackleton. Without their concern and perseverance, he would have died. It was theirresolve 10.________ filled him with hope. Maybe they could return home!四、短文语法填空As a young man full of both passion and endurance, Perce Blackborow had long been 1. (dream) of decent adventure, so he didn't give up when Sir Ernest Shackleton turned down his request to join the expedition. Perce 2. (secret) hid himself in a cupboard, only3. (find) three days after they set off. He felt fortunate and happy when he was assigned as a steward instead of being sent back home.It turned4. to be a tough journey. The ship got5. (stick) in the ice as they approached Antarctica and they had to abandon the ship.6. the guidance of Sir Ernest, they7. (throw) away nearly everything except necessities and a banjo,8. kept their spirits up during the journey. Survival was not easy and things went from bad to worse. Finally Sir Ernest left for South Georgia Island in order to find help. The desperate situation made young Perce Blackborow feel down and become bad-tempered. It was the genuine9. (encourage) and concern from Bless Frank Wild that cheered him up. Frank and Ernest's resolve and perseverance filled him with hope. Realizing that he shouldn't become selfish just because of 10. adversity they were faced with, he learned to be optimistic and determined.五、阅读理解A new collection of photos brings an unsuccessful Antarctic voyage back to life.Frank Hurley's pictures would be outstanding—undoubtedly firstrate photojournalism—if they had been made last week. In fact,they were shot from 1914 through 1916,most of them after a disastrous shipwreck(海难),by a cameraman who had no reasonable expectation of survival. Many of the images were stored in an ice chest,under freezing water,in the damaged wooden ship.The ship was the Endurance,a small,tight,Norwegianbuilt threemaster that was intended to take Sir Ernest Shackleton and a small crew of seamen and scientists,27 men in all,to the southernmost shore of Antarctica's Weddell Sea. From that point Shackleton wanted to force a passage by dog sled(雪橇) across the continent. Thejourney was intended to achieve more than what Captain Robert Falcon Scott had done. Captain Scott had reached the South Pole early in 1912 but had died with his four companions on the march back.As writer Caroline Alexander makes clear in her forceful and wellresearched story The Endurance,adventuring was even then a thoroughly commercial effort. Scott's last journey,completed as be lay in a tent dying of cold and hunger,caught the world's imagination,and a film made in his honor drew crowds. Shackleton,a onetime British merchantnavy officer who had got to within 100 miles of the South Pole in 1908,started a business before his 1914 voyage to make money from movie and still photography. Frank Hurley,a confident and gifted Australian photographer who knew the Antarctic,was hired to make the images,most of which have never before been published.1.What do we know about the photos taken by Hurley?A.They were made last week.B.They showed undersea sceneries.C.They were found by a cameraman.D.They recorded a disastrous adventure.2.Who reached the South Pole first according to the text?A.Frank Hurley.B.Ernest Shackleton. C.Robert Falcon Scott. D.Caroline Alexander.3.What does Alexander think was the purpose of the 1914 voyage?A.Artistic creation. B.Scientific research. C.Money making. D.Treasure hunting.六、完形填空I suffered a serious head injury as a kid. It led to a constant(1)even in a special reading class. When I met my teacher, Jill Kinmont, for the first time, I felt(2)because I'd never known anyone who was(3). She was young but was ina wheelchair. She(4)during a race as a skier and injured her spinal cord(脊椎). She never acted like she felt(5)for herself. Instead, she(6)at us at the beginning of every class.She taught us(7)through reading cards, spelling lessons and writing practices. I was a slow reader, but she showed me it was okay to take my(8). I remember the day when I was ready to(9). To other teachers, spelling the word "furniture" might be a(10)thing, but my teacher treated it as a great(11). "You did it, Sandy!" she smiled. "You spelled a difficult word and(12)the tests. Now you can return to a regular classroom!"She(13) a ten-year-old girl who was hardly able to read and write and changed her world forever. Looking back, I wish I'd thanked her for making such a big(14)in my life. I'll always remember what she(15)me: with patience and love, no mountain is too high to climb.1. A. joy B. advance C. struggle D. danger2. A. shocked B. excited C. worried D. stressed3. A. flexible B. selfless C. determined D. disabled4. A. fell B. won C. quit D. escaped5. A. responsible B. secure C. sorry D. confident6. A. smiled B. looked C. shouted D. laughed7. A. generously B. eagerly C. anxiously D.patiently8. A. advice B. time C. place D. course9. A. begin B. change C. leave D. stay10. A. small B. tough C. serious D. personal11. A. reflection B. judgment C. shadow D. achievement12. A. respected B. passed C. missed D. valued13. A. saved B. met C. reminded D. harmed14. A. decision B. choice C. difference D. treatment15. A. bought B. taught C. warned D. tricked11.qualified adj. 符合资格;具备……的知识(或技能、学历等)→qualify v. 取得资格,有资格→ qualification n.资格,条件;合格证书12.enthusiastic adj. 热情的;热心的→ enthusiastically adv.热心地;满腔热情地→ enthusiasm n. 热心;热忱;热情→enthusiast n.热心者;爱好者13.endure v.忍耐,忍受,持续→endurance n. 忍耐力;耐久力14.decent adj.相当不错的;正派的;得体的→decently adv. 合适地;正派地15.genuine adj. 真正的;真诚的;可信赖的→genuinely adv. 真诚地;诚实地16.perseverance n. 毅力;韧性;不屈不挠的精神→persevere vi. 坚持;孜孜以求17.resolve vi. & vt.决定;决心;解决(问题或困难) n. 决心;坚定的信念→resolvedadj. 下定决心的,坚决的→resolution n. 决议;解决;坚定18.cruel adj. 残酷的;残忍的;冷酷的→cruelly adv. 残酷地→cruelty n. 残酷;残忍;残酷的行为19.thorough adj. 深入的;彻底的;细致的→thoroughly adv. 非常,极其;仔细,缜密;彻底20.unfortunately adv. 不幸地;遗憾地→fortunately adv. 幸运地1.qualified2.enthusiastically3.endurance4.decently5.genuinely6.perseverance7.resolution8.cruelty9.thoroughly 10.Unfortunately二、1.拒绝; 2.扔掉,丢弃 3.固定;停住;坚持住;(电话用语)别挂断4.每况愈下;越来越糟出发;引起;动身;使爆炸【答案】1.Hold on2.turn down3.gone from bad to worse4.se off5.throw away三、课文语法填空1.allowed 2.to go 3.sank 4.supplies 5.it 6.up7.were interrupted8.gradually9.grateful10.that四、短文语法填空1.【答案】1.dreaming2.secretly3.to be found4.out5.stuck6.Under7.threw8.which9.encouragement10.the【解析】1.分析句子可知,此处表示Perce Blackborow一直梦想着有一次像样的历险,应用过去完成进行时。
第2课时羧酸的性质和应用固基础1.下列说法错误的是( ) A.乙醇和乙酸都是常用调味品的主要成分B.乙醇和乙酸的沸点和熔点都比C2H6、C2H4的沸点和熔点高C.乙醇和乙酸都能发生氧化反应D.乙醇和乙酸之间能发生酯化反应,酯化反应和皂化反应互为逆反应解析A项,乙醇和乙酸是常用调味品——酒和醋的主要成分;B项,乙醇和乙酸常温下为液态,而C2H6、C2H4常温下为气态;C项,乙醇和乙酸在空气中都能燃烧而发生氧化反应;D项,皂化反应是指油脂的碱性水解,反应能进行到底。
答案 D2.要使有机化合物转化为,可选用的试剂是( ) A.Na B.NaHCO3C.NaCl D.NaOH解析酸性强弱顺序为—COOH>H2CO3>,NaHCO3仅能与—COOH反应生成—COONa,不能和酚羟基反应。
答案 B3.下列物质中,既可与新制Cu(OH)2悬浊液共热产生砖红色沉淀,又可与Na2CO3水溶液反应的是( ) A.苯甲酸B.甲酸C.乙二酸D.乙醛解析甲酸()分子结构中既有—COOH,又有,故既有羧酸的性质,可与Na2CO3溶液反应,又有醛的性质,可与新制Cu(OH)2悬浊液共热产生砖红色沉淀。
答案 B4.X、Y、Z、W均为常见的烃的含氧衍生物且物质类别不同,存在下图所示的转化关系,则以下判断正确的是( )A.X是羧酸,Y是酯B.Z是醛,W是羧酸C.Y是醛,W是醇D.X是醇,Z是酯解析符合题目框图中转化的含氧有机物为(举例说明):答案 B5.用括号中的试剂和方法除去各物质中的少量杂质,正确的是( ) A.苯中的甲苯(溴水、分液)B.乙醇中的乙酸(NaOH溶液,分液)C.乙醇中的水(新制CaO,蒸馏)D.乙酸乙酯中的乙酸(NaOH溶液,分液)解析除杂的要求:既要把杂质除去,又不能引入新的杂质且原物质不能被消耗。
苯中的甲苯用溴水不能除去;乙醇与NaOH溶液不分层;乙酸乙酯在碱性条件下易水解;乙醇中的水可用CaO吸收,然后蒸馏提纯。
课时作业(十九)1.(2010·福建)计算sin43°cos13°+sin47°cos103°的结果等于( )A.12 B.33 C.22 D.32答案 A解析 原式=sin43°cos13°-cos43°sin13°=sin(43°-13°)=sin30°=12.2.已知sin α=1213,cos β=45,且α是第二象限角,β是第四象限角,那么sin(α-β)等于( )A.3365B.6365 C .-1665 D .-5665 答案 A解析 因为α是第二象限角,且sin α=1213, 所以cos α=-1-144169=-513.又因为β是第四象限角,cos β=45, 所以sin β=-1-1625=-35.sin(α-β)=sin αcos β-cos αsin β=1213×45-(-513)×(-35)=48-1565=65.3.设α∈(0,π2),若sin α=35,则2cos(α+π4)等于( ) A.75 B.15 C .-75 D .-15答案 B解析 因为α∈(0,π2),sin α=35,所以cos α=1-925=45.所以2cos(α+π4)=2(cos αcos π4-sin αsin π4)=2(22cos α-22sin α)=cos α-sin α=45-35=15.4.化简cos(α-β)cos β-sin(α-β)sin β的结果为( ) A .sin(2α+β) B .cos(α-2β) C .cos α D .cos β答案 C解析 等式即cos(α-β+β)=cos α.5.设a =sin14°+cos14°,b =sin16°+cos16°,c =62,则a 、b 、c 的大小关系是( )A .a <b <cB .a <c <bC .b <a <cD .b <c <a 答案 B解析 a =2sin(45°+14°)=2sin59°, b =2sin(45°+16°)=2sin61°,6.在△ABC 中,C =120°,tan A +tan B =233,则cos A cos B =( ) A.14 B.34 C.12 D .-14答案 B解析 tan A +tan B =sin A cos A +sin Bcos B =sin A cos B +cos A sin B cos A cos B =sin (A +B )cos A cos B =sin60°cos A cos B =32cos A cos B =233,∴cos A cos B =34.7.已知tan(α+β)=25,tan ⎝⎛⎭⎪⎫β-π4=14,那么tan ⎝⎛⎭⎪⎫α+π4等于( )A.1318B.1322C.322D.16答案 C解析 因为α+π4+β-π4=α+β,所以α+π4=(α+β)-⎝ ⎛⎭⎪⎫β-π4,所以tan ⎝ ⎛⎭⎪⎫α+π4=tan ⎣⎢⎡⎦⎥⎤(α+β)-⎝ ⎛⎭⎪⎫β-π4 =tan (α+β)-tan ⎝ ⎛⎭⎪⎫β-π41+tan (α+β)tan ⎝ ⎛⎭⎪⎫β-π4=322.8.(2009·陕西)若3sin α+cos α=0,则1cos 2α+sin2α的值为( )A.103B.53C.23 D .-2答案 A解析 3sin α=-cos α⇒tan α=-13.1cos 2α+sin2α=cos 2α+sin 2αcos 2α+2sin αcos α=1+tan 2α1+2tan α=1+191-23=103. 9.(2010·全国卷Ⅰ)已知α为第三象限的角,cos2α=-35,则tan(π4+2α)=________.答案 -17解析 由cos2α=2cos 2α-1=-35,且α为第三象限角,得cos α=-55,sin α=-255,则tan α=2,tan2α=-43,tan(π4+2α)=1+tan2α1-tan2α=-17.10.(2011·沧州七校联考)化简:sin (3α-π)sin α+cos (3α-π)cos α=________.答案 -4cos2α解析 原式=-sin3αsin α+-cos3αcos α=-sin3αcos α+cos3αsin αsin αcos α=-sin4αsin αcos α =-4sin αcos α·cos2αsin αcos α=-4cos2α. 11.不查表,计算1sin10°-3sin80°=________.(用数字作答) 答案 4解析 原式=cos10°-3sin10°sin10°cos10° =2(12cos10°-32sin10°)sin10°cos10° =4(sin30°cos10°-cos30°sin10°)2sin10°cos10° =4sin (30°-10°)sin20°=4.12.已知tan2θ=34(π2<θ<π),求2cos 2θ2+sin θ-12cos (θ+π4)的值.答案 -12 解 ∵tan2θ=2tan θ1-tan 2θ=34,∴tan θ=-3或tan θ=13, 又θ∈(π2,π),∴tan θ=-3, ∴2cos 2θ2+sin θ-12cos (θ+π4)=cos θ+sin θcos θ-sin θ=1+tan θ1-tan θ=1-31+3=-12.(1)求sin α的值; (2)求β的值. 答案 (1)45 (2)β=3π4解 (1)解法一:sin α=2sin α2cos α2=2sin α2cos α2sin 2α2+cos 2α2 =2tan α21+tan 2α2=45. 解法二:tan α=2tan α21-tan 2α2=43,所以sin αcos α=43.又因为sin 2α+cos 2α=1,解得sin α=45. (2)因为0<α<π2<β<π,所以0<β-α<π. 因为cos(β-α)=210,所以sin(β-α)=7210. 所以sin β=sin[(β-α)+α] =sin(β-α)cos α+cos(β-α)cos α =7210×35+210×45=22. 因为β∈(π2,π),所以β=3π4.14.(2011·广东)已知函数f (x )=2sin(13x -π6),x ∈R .(1)求f (5π4)的值;(2)设α,β∈[0,π2],f (3α+π2)=1013,f (3β+2π)=65,求cos(α+β)的值.答案 (1)2 (3)1665解析 (1)∵f (x )=2sin(13x -π6),∴f (5π4)=2sin(5π12-π6)=2sin π4= 2. (2)∵α,β∈[0,π2],f (3α+π2)=1013,f (3β+2π)=65, ∴2sin α=1013,2sin(β+π2)=65,即sin α=513,cos β=35, ∴cos α=1213,sin β=45,∴cos(α+β)=cos αcos β-sin αsin β=1213×35-513×45=1665. 15.已知sin(x +π4)sin(π4-x )=16,x ∈(π2,π),求sin4x 的值. 答案 -429思路 由题设注意到π4+x +π4-x =π2,因此需交换后再用公式求解.解析 ∵sin(x +π4)sin(π4-x )=sin(π4+x )cos[π2-(π4-x )]=sin(x +π4)cos(π4+x )=12sin(2x +π2)=12cos2x =16,∴cos2x =13.∵x ∈(π2,π),∴2x ∈(π,2π),∴sin2x =-223.∴sin4x =2sin2x cos2x =-429.探究 (1)一般说来,在题目中有单角、倍角,应将倍角化为单角,同时应注意2α,2α-2,α-4等之间关系的运用.(2)在求cos2x 的过程中,本题也可采用如下方法:sin(x +π4)sin(π4-x )=(22sin x +22cos x )(22cos x -22sin x )=12(cos 2x -sin 2x )=12cos2x =16,从而得cos2x =13.1.化简sin15°cos9°-cos66°sin15°sin9°+sin66°的结果是( )A .tan9°B .-tan9°C .tan15°D .-tan15°答案 B解析 sin15°·cos9°-cos66°sin15°sin9°+sin66°=sin15°·cos9°-sin24°sin15°·sin9°+cos24°=sin15°·cos9°-sin15°·cos9°-cos15°·sin9°sin15°·sin9°+cos15°·cos9°-sin15°·sin9° =-cos15°·sin9°cos15°·cos9° =-tan9°.2.函数f (x )=sin2x -cos2x 的最小正周期是( ) A.π2 B .π C .2π D .4π 答案 B解析 f (x )=2sin(2x -4),∴T =2=π. 3.若sin2θ=1,则tan ⎝ ⎛⎭⎪⎫θ+π3的值是( )A .2- 3B .2+ 3C .-2- 3D .-2+ 3答案 C解析 由已知,得θ=k π+π4,代入即可得 tan ⎝ ⎛⎭⎪⎫θ+π3=tan ⎝ ⎛⎭⎪⎫k π+π4+π3 =tan ⎝ ⎛⎭⎪⎫π4+π3=-2- 3.4.(2008·浙江)若cos α+2sin α=-5,则tan α=( ) A.12 B .2 C .-12 D .-2答案 B解析 考查三角函数的运算与转化能力,已知正弦和余弦的一个等量关系,可以结合正弦余弦平方和等于1,联立方程组解得正弦余弦的值,再利用tan α=sin αcos α求得,但运算量较大,作为选择题不适合.也可以利用三角变换处理,原等式即5sin(α+φ)=-5,其中tan φ=12,0<φ<π2,∴sin(α+φ)=-1,∴α+φ=2k π+3π2,k ∈Z ,∴tan α=cot φ=2. 也可观察得到答案.5.已知sin(α+π4)=5,且π4<α<3π4.求cos α的值. 答案 210解析 sin(α+π4)=45且π4<α<3π4 ∴π2<α+π4<π ∴cos(α+π4)=-1-sin 2(α+π4)=-35∴cos α=cos[(α+π4)-π4] =cos(α+π4)cos π4+sin(α+π4)sin π4 =-35×22+45×22=210.1.已知在△ABC 中,cos B cos C =1-sin B ·sin C ,那么△ABC 是( )A .锐角三角形B .等腰三角形C .直角三角形D .钝角三角形答案 B解析 由条件知cos B cos C +sin B sin C =1,cos(B -C )=1,B -C =0,∴B =C .2.在△ABC 中,“cos A =2sin B sin C ”是“△ABC 为钝角三角形”的( )A .必要不充分条件B .充要条件C .充分不必要条件D .即不充分也不必要条件答案 C解析 在△ABC 中,A =π-(B +C ),∴cos A =-cos(B +C ),又∵cos A =2sin B sin C ,即-cos B cos C +sin B sin C =2sin B sin C .∴cos(B -C )=0,∴B -C =π2,∴B 为钝角.3.设α∈(0,π3),β∈(π6,π2),且α、β满足53sin α+5cos α=8,2sin β+6cos β=2,求cos(α+β)的值.解析 ∵53sin α+5cos α=8,∴sin(α+π6)=45.∵α∈(0,π3),∴(α+π6)∈(π6,π2),∴cos(α+π6)=35. 又∵2sin β+6cos β=2,∴sin(β+π3)=22,∵β∈(π6,π2),∴(β+π3)∈(π2,5π6),∴cos(β+π3)=-22,∴sin[(α+π6)+(β+π3)]=sin(α+π6)cos(β+π3)+cos(α+π6)sin(β+π3)=-210,∴cos(α+β)=-210.4.求(tan10°-3)·cos10°sin50°的值.解析 (tan10°-3)·sin50°=(tan10°-tan60°)·sin50°=(cos10°-sin60°cos60°)·cos10°sin50°=sin10°cos60°-sin60°cos10°cos10°cos60°·cos10°sin50°=-sin (60°-10°)cos10°·cos60°·cos10°sin50°=-1cos60°=-2.。