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高代2重修复习题B及答案)

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试卷B 填空 1. 在3F中,从基123(1,0,0),(0,1,0),(0,0,1)到基11213,,的过渡矩阵为 . 2. 在线性空间V中, 子空间1V和2V的直和12VV是6维的, 1V是4维的，那么2V是 维的. 3. 数域F上全体n阶级对称矩阵组成的线性空间是 维的.

4. 线性变换在某基下的矩阵为1110A, 向量在此基下的坐标为10, 那么

()的坐标是 .

5. t满足 时 二次型),,(321xxxf222123122313()444txxxxxxxxx是正定的.

6. 用2()2gxxx除4()25fxxx， 商式为 ；余式为 7. 欧氏空间V中, 基12,的度量矩阵为2112A,,的坐标为11, 21,那么(,) .

8. 设,正交,为正交变换, 那么(5(),4()) .

判断 1. 线性空间V中的任意两个子空间的和仍是V的子空间. ( ) 2. 设1234,,,是线性空间V的一组基, 则12233441,,,也是V的一组基. ( ) 3. 两个本原多项式的乘积还是本原多项式 . ( ) 4. 欧氏空间V的线性变换若能保持长度不变，则一定是正交变换. ( ) 5. 同一线性变换在不同基下的矩阵是相似的. ( ) 6. 1V与2V是欧氏空间V的两个子空间，若12VV，则12VV是直和 ( ) 7. 正交矩阵的特征值都是正的. ( ) 8. 设12,,,n是一组两两正交的向量组，则它们一定线性无关. ( ) 9. 两个相似的实对称矩阵一定合同. ( ) 10. 任何一个n阶正定矩阵的列向量组都是欧氏空间nR中的一个标准正交基. ( ) 计算 1. 在2P中, 求由基 12(1,0),(0,1) 到基 12(1,1),(1,1)的过渡矩阵,并求向量(2,1)在12,下的坐标. 2. 求由向量(1,2,3,4,5)ii生成的子空间的基和维数.其中

12345(1,1,0,1),(1,0,0,1),(1,1,1,1),(1,2,0,1),(0,1,1,0). 3由3,2,1,ii生成的子空间记为1W，由2,1,jj生成的子空间记为2W，其中 123(1,2,1,0,1),(1,1,1,1,0),(2,1,0,1,1)

12(2,1,0,1,1),(1,1,1,1,0), .求21WW，12WW的维数和一组基. 4用正交线性替换化二次),,(321xxxf313221232221444xxxxxxxxx 为标准形，并写出所用的正交线性替换.

证明 1. 设A是数域F上的n阶方阵，满足AA2， 设1V是齐次方程组A0x的解空间，2V

是齐次方程组)(EA0x的解空间，试证 12nFVV，其中nF是数域F上n维向量空间。 2. 已知A是n维线性空间V的线性变换，V，10nA，0nA，试证以下结论： （1），A，…，1nA（0n）线性无关； （2）A在某组基下的矩阵是01000000100000100000 参考答案B 第一大题 填空题（每题2分，共16分）

1. 111010001； 2. 2; 3.(1)2nn; 4. 10; 5. 2t; 6. 12xx ；7x 7. 3； 8 . 0; 第二大题 判断题（每题2分，共20分）

1. √ 2. × 3. √ 4. √ 5. × 6. √ 7. × 8.√ 9. √ 10. ×

第三大题 计算题（每小题10分 共40分）

1. 解：因为1212(,)(,)A………………2分

则过渡矩阵为 1111A

; …………………3分

于是 1111112A



…………………2分

则在12,下的坐标为11132222211111222A









…………………3分

2．解：解 



0000010100110102100101111101001210101111

A.............6分

)1,1,1,1(),1,0,0,1(),1,0,1,1(321是生成子空间12345(,,,,)L的基，

维数是3. .......4分 3解: 1.解 



0000010100110102100101111101001210101111

A.............6分

)1,1,1,1(),1,0,0,1(),1,0,1,1(321是21WW的基，维数是3.............2分

)0,1,1,0(),1,0,2,1(21是21WW的基，维数是2. .............2分.

4．解: 二次型 f的矩阵122212221A.............2分 2||(5)(1),EA A

的特征值为5,-1,-1. ……………………3分

A的属于特征值为-1的线性无关的特征向量为12

111,001





………1分

将其正交化、单位化得 12

11

62

11,26026









………1分

A的属于特征值为5的线性无关的特征向量为3111，………1分 将其单位化得 3

131313





………1分

取正交矩阵123(,,)U 所以二次型f经正交线性替换XUY化为标准形 122212323(,,)5.fxxxyyy…………………1分

第四大题 证明题（每小题12分 共24分）

1. 证明 ,()nPEAA，则 1()VEA，2VA， 所以21VVPn ， 又 21VVPn，故 21VVPn. .............6分 21VV，则OEA)(,OEA)(,，

于是.O 从而12{}.VVO 因此 .21VVPn .............6分 2． （1）证明 设 11210nnAA （1）

用1nA作用两边，由于0nA，得到110nA，由有条件10nA，所以10（1）式变为 1210nnAA （2）

用2nA作用两边可得20，……同理10n，所以，A，…，1nA

（0n）线性无关；.............6分 （2）由（1）证明过程可知，，A，…，1nA 是一组基21(,,,,0)nAAA，

1(,,,)nAAA

100001000(,,,)01000010nAA







A在这组基下的矩阵是01000000100000100000 .............6分

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南艺重修英语2级选择题复习资料

南艺重修英语2级选择题复习资料

N a m e____________C o l l e g e E n g l i s h f o r A r t S t u d e n t s T e s t p a p e rU n i t1-3B o o k2P a r t I.V o c a b u l a r y(b )1. She seems _____ becoming a musician.A. bend onB. bent onC. bent forD. bend for(c )2. The idea _____ from a drawing I discovered in the attic.A. evolveB. evolvementC. evolvedD. evolves(d )3. You _____ find that you have to learn new knowledge to keep up with the times.A. might wellB. might as wellC. may as wellD. may just as well( )4. She works hard at her job and is _____ for a salary increase.A. on makeB. in the makeC. for the makeD. on the make( )5. _____, you’ll have to make the decision yourselfA. In endB. EventualC. UltimatelyD. In last( )6. _____ your courage and the difficulty will soon be overcome.A. MustyB. MusterC. MustD. Must up( )7. We reluctantly agreed to go with her.A. willinglyB. unwillinglyC. unwillingD. reluctant( )8. The conventions of opera are more evident than those of poetry, painting, drama, or film, but they are not different in kind.A. in natureB. naturallyC. basicallyD. kindly( )9. The critics are being _____ critical about the young actor’s acting in the movie.A. overlyB. overC. excessiveD. to( )10. Good food and plenty of exercise are _____ for a healthy life.A. attractiveB. relaxedC. essentialD. ambitious( )11. Passengers were asked to _____ their own suitcases before they were put on the plane.A. identityB. identifyC. dictateD. seek( )12. He has been _____ a lot of pressure _____me to change my mind.A. exerted, onB. exerting, onC. exercise, inD. exercising, for ( )13. _____ a few words, I do not know any French at all.A. ExceptB. Apart forC. Apart fromD. Without( )14. For _____ reasons I’d prefer not to meet him.A. varyB. varietyC. veryD. various( )15. The magazine is intended to _____ professional women in their thirties and forties.A. appeal toB. appeal forC. appear toD. appear for( )16. The singer plans to _____ his next album around the New Year’s Day.A. bring aboutB. bring onC. bring upD. bring out( )17. I can certainly feel the _____ of too many late nights.A. affectB. affectsC. effectsD. effective( )18. She lost the election by a _____ 20 votes.A. mereB. moreC. mostD. much( )19. What he said _____ me _____ the days in the countryside.A. reminded，forB. reminded，ofC. remembered，forD. remembered，of( )20. The prime minister rejected any idea of reforming the system.A. refusedB. retardedC. acceptedD. aspect( )21. The country’s constitution _____ the ideals of equality and freedom.A. embodyB. establishC. includeD. embodies( )22. It was at this point that her acting career really _____.A. took onB. took offC. took upD. took away( )23. I had a small room, _____ a cost of fifteen cents per night.A. atB. forC. onD. to( )24. I met him on my way home _____.A. accidentalB. in accidentC. for chanceD. by chanceP a r t I I.S t r u c t u r e( )25. Jane proved _____ a talented actress.A. beB. beingC. /D. was( )26. “No, there _____ be a reason for everything.A. mustn’tB. mustC. needD. needn’t( )27. It was Jim, a heartless fellow, _____ was heard shouting at his mother in the dead of night.A. whomB. whichC. whoD. what( )28. Walt is as good as his word. Once he _____, he will keep it.A. made a promiseB. makes a promiseC. make a promiseD. to make a promise( )29. Never _____ my first day in Nanjing Arts Institute.A. will I forgotB. will I forgetC. I will forgetD. I forgot( )30. If you _____ enough, you _____ your spoken English.A.had practiced … would improveB. have practiced … would have improvedC.practice … would improveD. had practiced … would have improved ( )31. A wild animal cannot be tamed unless _____ very young.A. catchB. catchesC. catchedD. caught( )32. I am interested in all _____ you have told me.A. whichB. thatC. thisD. what1-20BCADC BBAAC BBCDA DCABA21-32 DBADC DCBBD DBU n i t4-6B o o k2P a r t I.V o c a b u l a r y( )1. ______ people are very friendly and enjoy talking to others.A. SocialB. SocietyC. SociableD. Sociability( )2. ______ I have not enough money to travel abroad.A. FortunatelyB. UnfortunatelyC. FortuneD. Misfortune( )3. This article in general ______ perspectiveA. deal withB. deals withC. dealt toD. dealt with( )4. You could go your own way ______ follow their footsteps.A. would ratherB. thanC. ratherD. rather than( )5. Her teaching experience gave her a big ______.A. advanceB. advancedC. advantageD. average( )6. The results she has achieved in the final exams are quite ______ through her own efforts at the other times.A. satisfactionB. satisfyC. satisfactoryD. saxophone( )7. Young people usually have a ______ for pop music.A. preferenceB. preferC. preferableD. prefer to( )8. 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People usually ______ Japan ______ high tech consumer products.A. connect, toB. links, withC. associate, withD. associates, to( )17. ______, six of every ten students live in the school.A. in advanceB. on advantageC. on averageD. in average( )18. Unemployment is a common ______ in capitalist countries.A. phenomenonB. philosophyC. photographerD. phenomena( )19. People of different ______ may speak different languages.A. nationB. nationalitiesC. nationalD. Nationality( )20. ______ women, men seem to have fewer problems finding a job.A. Compare toB. Compare withC. Compared forD. Compared to( )21. Linear perspective is the visual phenomenon of ______ in size as an object recede.A. diminishB. dominatingC. diminishingD. dominate( )22. You will know your friends and enemies better when you ______ what colors they like and dislike.A. found out,B. foundC. findD. find out( )23. ______ his brother, he was always considerate in his treatment of others.A. In contact toB. In contrast toC. In connect withD. In contrast on( )24. Sometimes, a man’s way of handling a problem ______ a woman’sA. different fromB. differ fromC. distinct fromD. is distinct from( )25. Everything is almost ready for me to make another ______ on the record.A. attemptB. effectC. affectD. attractP a r t I I.S t r u c t u r e( )26. Amy ______ talking with her parents ______ taking a walk after dinner.A. prefer, withB. prefer, toC. prefers, withD. prefers, to( )27. It is important that the students ______ their papers before July 1st.A. finish to writingB. will finish writingC. finish writingD. should finish to write( )28. He found ______ the objects ______ were viewed individually were in sharp focus.A. that, thatB. that, theyC. it, thatD. which, that( )29. Linda ______sightseeing ______ shopping this Sunday.A. would rather go, than to goB. would rather go, than goC. would rather to go, than to goD. would rather going, than going( )30. Undoubtedly, this accident was due to the carelessness of the driver.A. It is undoubted thatB. It was undoubted thatC. It is undoubtedly thatD. It was undoubtedly that( )31. ______he told me about the article is very important.A. thatB. whatC. whichD. when1-20C B B D C C A D D B B D D A B C C A B D21-31C D D D A D C A B B BU n i t7-10B o o k2P a r t I.V o c a b u l a r y( )1. ______Chinese waiters, restaurant workers in the U.S. depend a lot on the tips in their livelihood.A. DislikeB. UnlikeC. AsD. Like( )2. They watched him carefully as they worked together.A. saw, clearlyB. looked, carefullyC. observedD. observed, carefully ( )3. They are thinking of _______ with this new medical herbs.A. experienceB. experiencingC. experimentD. experimenting ( )4. John has _______ a great deal since I saw him a year ago.A. alteredB. choseC. altarD. select( )5. They were ______ a heated discussion when I entered the room.A. involved inB. involve inC. involved atD. involve for ( )6. The horse drawn by Xu Beihong is very ______ and lively.A. realB. realityC. realisticD. really( )7. The meeting ______ without result.A. break upB. broke upC. break outD. broke out( )8. What the teacher said in the class meeting ______ us with courage.A. supportB. cherishedC. inspiredD. involved( )9. The girl has grown up and ______ to share her secrets with her parents.A. be reluctantB. is willingC. is reluctantD. be unwilling ( )10. Rome is a highly charming old city full of ancient buildings.A. fascinateB. fascinatingC. fascinatedD. fascination ( )11. This small village is ______ in a valley.A. situationB. situateC. situatedD. situating( )12. It’s _______ that he hasn’t told you the truth.A. splendidB. obviousC. profitableD. versatile( )13. Only the power of the Pope Julius Ⅱforced him ______ the world’s greatest fresco.A. to achieveB. in achievingC. in achievementD. into achieving( )14. 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They have ______ very happily in their new home.A. settled downB. set downC. set outD. set off( )23. The ______ star is popular with the young people.A. singleB. singC. soloD. soul( )24. For years she ______ the hope that her son might become a singer.A. cherishedB. containedC. heldD. captured( )25. I’d like to speak to Mr. Hobbs about a private matter.A. personB. personificationC. personalD. personallyP a r t I I.S t r u c t u r e( )26. ______ her illness, she’s still preparing for the following examinations.A. AlthoughB. ThoughC. In spiteD. Despite( )27.They found the people friendly no matter where they went.A. wheneverB. whereverC. the placeD. however( )28. William was an organist ______ a violin, piano and voice teacher.A. as wellB. as well asC. butD. also( )29. I will have my new house ______ .A. paintedB. to paintC. paintingD. paint( )30. I hope you can come back, ______ it’s only for a few daysA. even ifB. ifC. whenD. as long as( )31. ______ from the top of the mountain, the city looks very beautiful.A. SeeingB. SeeC. SeenD. To see1-20 BCDAA CBCCB CBDAA BACBA21-31 CACAC DBBAA C。

机械设计基础练习卷B答案

机械设计基础练习卷B答案

《机械设计基础》重修复习卷(二)一．填空1、在铰链四杆机构中相对静止的构件称为机架；能作圆周运动的构件称为曲柄；不与机架相连的构件称为连杆。

2、三星轮变向机构之所以能够起变向作用，是因为有惰轮起作用，它不影响传动比。

3、键连接通过键将轴与轮毂结合在一起，从而实现周向运动传递扭矩。

4、根据轴承与轴工作面摩擦性质的不同，轴承可分为滑动摩擦和滚动摩擦。

5．为保证齿轮传动的连续性，将___实际啮合线_与__基圆齿距__的比值称为重合度。

6、按照滚动轴承所受载荷的不同，滚动轴承分为向心、推力和和向心推力三类。

7、渐开线齿廓的啮合特性有瞬时传动比准确、中心距可分离性和齿廓间相对滑动等。

8．带传动的主要失效形式为打滑和带的磨损。

9．齿面接触强度设计计算是针对齿面点蚀失效进行的；齿根弯曲疲劳强度设计计算是针对齿轮疲劳折断进行的。

二．选择题1．平行四边形双曲柄机构，当主动件曲柄作匀速转动时，从动曲柄将怎样运动？( )A．匀速转动 B.间歇转动 C．变速转动 D.往复摆动2．曲柄滑块机构中，当( )为主动件时机构有死点位置出现。

A.曲柄B.滑块C.连杆3．以下关于曲柄摇杆机构的叙述正确的是( )A．只能以曲柄为主动件 B.摇杆不可以作主动件 C．主动件既可能作整周旋转运动也可以作往复摆动 D. 以上都不对4．杆长不等的铰链四杆机构，若以最短杆为机架，则是什么机构( ) ？A.曲柄摇杆机构B.双曲柄机构或双摇杆机构C.双摇杆机构D.双曲柄机构5．图示凸轮轮廓是分别以O和O1为圆心的圆弧和直线组成的。

该凸轮机构从动件的运动过程是( )类型。

A 升---停---降---停；B 升---停---降；C 升---降---停；D 升---降。

6．凸轮连续转动，从动件的运动周期是( )。

A 从动件推程时间；B 从动件回程时间；C 从动件推程和回程时间之和；D 凸轮一转的时间。

7．( )能把回转运动转变成往复摆动运动。

A．双曲柄机构 B．摆动导杆机构 C．曲柄摇杆机构 D．曲柄滑块机构8．定轴轮系的传动比以下各表达式中正确的是( )。

现代汉语B卷

现代汉语B卷

湖南师范大学文学院2006—2007学年第二学期中文专业 2006年级√期末/补考/重修课程 现代汉语（二）考核试题一、判断题（下列各题，你认为正确的，请在题干的括号内打“√”，错的打“×”。

每题1分，共10分。

）1．语法具有抽象性．概括性。

（ ） 2．现代汉语各级语言单位的结构方式具有一致性。

（ ） 3．转换生成语法是美国的乔姆斯基创立的语法学流派。

（ ） 4．副词主要作状语，但作状语的不一定是副词。

（ ） 5．“憎恨说谎”是连动短语。

（ ） 6．“高高兴兴．平平安安地回来”中“回来”的状语是多层状语。

（ ） 7．“整体性．复杂性．多变性．竞争性的特点”中“特点”的定语是多层定语。

( ) 8．“分析能力强，是这位青年同志的优点。

”是一个复句。

( ) 9．“英雄造时势，时势造英雄。

”用的是顶真修辞格。

（ ） 10．把适用于描写甲事物性状的词语有意识地移用来描写乙事物，是移就修辞格。

（ ）二、填空题（每题1分，共10分）1．“他的聪明是出了名的”中的“聪明”词性是（ ）。

2．单句可以从结构类型分主谓句和（ ）两大类。

3．句型是根据句子的（ ）类型划分的。

4．从短语的功能来看，“认真办事的朋友”和“滑冰这种运动”都属于（ ）短语。

5．“显得年轻”中“年轻”是（ ）成分，“画得漂亮”中“漂亮”是（ ）成分。

5．用“尚且……何况”关联的复句是（ ）复句，用“既然 ……就”关联的复句是（ ）复句。

7．对偶可以分为（ ）．反对和（ ）三种类型。

第 1 页 共 6 页三、单选题（在本题的每一小题的备选答案中，只有一个答案是正确 的，请把你认为正确答案的题号，填入题干的括号内。

多选不给分。

每题2分，共16分）。

1．下列各组中，两个词词类相同的是……………………………………………………（ ） ①不但 假如 ②从 仅 ③也 及 ④伟大 扩大2．下列短语中，动词带谓词性宾语是……………………………………………………（ ） ①唱歌跳舞 ②讨厌说谎 ③抓住不放 ④说他坏话3．下列短语中，属述宾短语的是……………………………………………………… （ ） ①吃得很少 ②看得很多 ③觉得很累 ④做得很好4．属于存现句的是…………………………………………………………… （ ） ①大厅里摆着许多鲜花。

（完整版）高等数学II练习册-第10章答案

（完整版）高等数学II练习册-第10章答案

（完整版）⾼等数学II练习册-第10章答案习题10-1 ⼆重积分的概念与性质1.根据⼆重积分的性质，⽐较下列积分的⼤⼩：（1）2()D x y d σ+??与3()Dx y d σ+??，其中积分区域D 是圆周22(2)(1)2x y -+-=所围成；（2）ln()Dx y d σ+??与2[ln()]Dx y d σ+??，其中D 是三⾓形闭区域，三顶点分别为(1,0)，(1,1)，(2,0)；2.利⽤⼆重积分的性质估计下列积分的值：（1）22sin sin DI x yd σ=，其中{(,)|0,0}D x y x y ππ=≤≤≤≤；（2）22(49)DI x y d σ=++??，其中22{(,)|4}D x y x y =+≤.（3）.DI =，其中{(,)|01,02}D x y x y =≤≤≤≤解 (),f x y =Q 2，在D 上(),f x y 的最⼤值()14M x y ===，最⼩值()11,25m x y ====故0.40.5I ≤≤习题10-2 ⼆重积分的计算法1.计算下列⼆重积分：（1）22()Dx y d σ+??，其中{(,)|||1,||1}D x y x y =≤≤；（2）cos()Dx x y d σ+??，其中D 是顶点分别为(0,0)，(,0)π和(,)ππ的三⾓形闭区域。

2.画出积分区域，并计算下列⼆重积分：（1）x y De d σ+??，其中{(,)|||1}D x y x y =+≤（2）22()Dxy x d σ+-??，其中D 是由直线2y =，y x =及2y x =所围成的闭区域。

3.化⼆重积分(,)DI f x y d σ=为⼆次积分（分别列出对两个变量先后次序不同的两个⼆次积分），其中积分区域D 是：（1）由直线y x =及抛物线24y x =所围成的闭区域；（2）由直线y x =，2x =及双曲线1(0)y x x=>所围成的闭区域。