2013-虹口区二模-答案
上海市虹口区2013届高三数学二模试卷(含答案_理科)
虹口区2013年数学学科高考练习题(理科)(时间120分钟,满分150分)2013.4一、填空题(每小题4分,满分56分)1、函数1)12()(+-=x k x f 在R 上单调递减,则k 的取值范围是 .2、已知复数ii z +-=1)1(3,则=z .3、已知31cos sin sin cos =ββαα,则=+)(2cos βα . 4、设n x )21(+展开式中二项式系数之和为n a ,各项系数之和为n b ,则=+-∞→nn nn n b a b a l i m .5、已知双曲线与椭圆161622=+y x 有相同的焦点,且渐近线方程为x y 21±=,则此双曲线方程为 .6、如果14log -=b a ,则b a +的最小值为 .7、数列{}n a 的通项2sinπn n a n ⋅=,前n 项和为n S ,则=13S . 8、设1F 、2F 是椭圆1422=+y x 的两个焦点,点P 在椭圆上,且满足221π=∠PF F ,则21PF F ∆的面积等于 . 9、从集合{}3,2,1的所有非空子集中,等可能地取出一个,记取出的非空子集中元素个数为ξ,则ξ的数学期望=ξE .10、对于R x ∈,不等式a a x x 2122-≥++-恒成立,则实数a 的取值范围是 .11、在ABC ∆中,1=AB ,2=AC ,2)(=⋅+,则ABC ∆面积等于 .12、将边长为2的正方形沿对角线AC 折起,以A ,B ,C ,D 为顶点的三棱锥的体积最大值等于 .13、设)2(log 1+=+n a n n )(*∈N n ,称k a a a a 321为整数的k 为“希望数”,则在)2013,1(内所有“希望数”的个数为 .14、已知函数aax x a x a x x f 2222)1()(22-++--+=的定义域是使得解析式有意义的x 的集合,如果对于定义域内的任意实数x ,函数值均为正,则实数a 的取值范围是 .二、选择题(每小题5分,满分20分) 15、直线⎩⎨⎧+=+=t y tx 121的倾斜角等于( ).A 6π .B 3π.C 21arctan .D 2arctan16、已知函数)2cos()2sin(2ππ-+=x x y 与直线21=y 相交,若在y 轴右侧的交点自左向右依次记为1M ,2M ,3M等于( ).A π6 .B π7 .C π12 .D π1317、若22παπ≤≤-,πβ≤≤0,R m ∈,如果有0s i n 3=++m αα,0cos )2(3=++-m ββπ,则)cos(βα+值为( ). .A 1- .B 0 .C21.D 1 18、正方体1111D C B A ABCD -的棱上..到异面直线AB ,1CC 的距离相等的点的个数为( ) .A 2. .B 3. .C 4. .D 5.三、解答题(满分74分)19、(本题满分12分)如图,⊥PA 平面ABCD ,矩形ABCD 的边长1=AB ,2=BC ,E 为BC 的中点. (1)证明:DE PE ⊥;(2)如果2=PA ,求异面直线AE 与PD 所成的角的大小.D20、(本题满分14分)在ABC ∆中,角A ,B ,C 所对的边长分别为a ,b ,c ,向量)cos 2,sin 2(B B m =,)cos ,cos 3(B B n -=,且1=⋅n m .(1)求角B ;(2)若2=b ,求ABC ∆的面积的最大值.21、(本题满分14分)已知复数i b a z n n n ⋅+=,其中R a n ∈,R b n ∈,*∈N n ,i 是虚数单位,且i z z z n n n 221++=+,i z +=11. (1)求数列{}n a ,{}n b 的通项公式;(2)求和:①13221++++n n a a a a a a ;②1154433221)1(++-++-+-n n n b b b b b b b b b b .22、(本题满分16分)已知抛物线C :px y 22=)0(>p ,直线l 交此抛物线于不同的两个点),(11y x A 、),(22y x B .(1)当直线l 过点)0,(p M 时,证明21y y ⋅为定值;(2)当p y y -=21时,直线l 是否过定点?若过定点,求出定点坐标;若不过定点,请说明理由;(3)如果直线l 过点)0,(p M ,过点M 再作一条与直线l 垂直的直线l '交抛物线C 于两个不同点D 、E .设线段AB 的中点为P ,线段DE 的中点为Q ,记线段PQ 的中点为N .问是否存在一条直线和一个定点,使得点N 到它们的距离相等?若存在,求出这条直线和这个定点;若不存在,请说明理由.23、(本题满分18分)定义域为D 的函数)(x f ,如果对于区间I 内)(D I ⊆的任意两个数1x 、2x 都有)]()([21)2(2121x f x f x x f +≥+成立,则称此函数在区间I 上是“凸函数”. (1)判断函数x x f lg )(=在+R 上是否是“凸函数”,并证明你的结论; (2)如果函数xax x f +=2)(在]2,1[上是“凸函数”,求实数a 的取值范围; (3)对于区间],[d c 上的“凸函数”)(x f ,在],[d c 上任取1x ,2x ,3x ,……,n x .① 证明: 当kn 2=(*∈N k )时,)]()()([1)(2121n n x f x f x f nn x x x f +++≥+++ 成立;② 请再选一个与①不同的且大于1的整数n , 证明:)]()()([1)(2121n n x f x f x f nn x x x f +++≥+++ 也成立.D虹口区2013年数学学科高考练习题答案(理)一、填空题(每小题4分,满分56分)1、)21,(∞-;2、2;3、97-; 4、1-; 5、12822=-y x ; 6、1; 7、7; 8、1; 9、712; 10、]3,1[-; 11、23; 12、322; 13、9; 14、07≤<-a 或2=a ; 二、选择题(每小题5分,满分20分)15、C ; 16、A ; 17、B ; 18、C ; 三、解答题(满分74分)19、(12分) 解:(1)连AE ,由1==BE AB ,得2=AE ,同理2=DE ,∴2224AD DE AE ==+,由勾股定理逆定理得︒=∠90AED ,∴AE DE ⊥.……………………3分 由⊥PA 平面A B C D ,得DE PA ⊥.由AE DE ⊥,DE PA ⊥A AE PA =⋂,得⊥DE 平面PAE .∴DE PE ⊥.…………6分(2)取PA 的中点M ,AD 的中点N ,连MC 、NC 、MN 、AC . AE NC //,PD MN // ,∴MNC ∠的大小等于异面直线PD 与AE 所成的角或其补角的大小.………………8分由2=PA ,1=AB ,2=BC ,得2==MN NC ,6=MC ,∴21222622cos -=⋅⋅-+=∠MNC ,32π=∠MNC .∴异面直线PD 与AE 所成的角的大小为3π.…………12分 注:用向量解相应给分.20、(14分)解:(1) 1=⋅,∴1cos 2cos 3sin 22=-⋅B B B ,22cos 2sin 3=-B B ,1)62sin(=-πB ,……………………5分 又π<<B 0,∴611626πππ<-<-B ,∴262ππ=-B ,∴3π=B ………………7分(2) 2=b ,B ac c a b cos 2222⋅-+=,∴3cos 2422π⋅-+=ac c a ,即ac c a -+=224…9分∴ac ac ac ac c a =-≥-+=2422,即4≤ac ,当且仅当2==c a 时等号成立.…12分343sin 21≤=⋅=∆ac B ac S ,当2===c b a 时,3)(max =∆ABC S .…………14分 21、(14分)解:(1) i i b a z +=⋅+=1111,∴11=a ,11=b .由i z z z n n n 221++=+得i b a i i b a i b a i b a n n n n n n n n ⋅++=+⋅-+⋅+=⋅+++)2(32)()(211,∴⎩⎨⎧+==++2311n n nn b b a a ………………3分 ∴数列{}n a 是以1为首项公比为3的等比数列,数列{}n b 是以1为首项公差为2的等差数列,∴13-=n n a ,12-=n b n .……………………6分(2)①由(1)知13-=n n a ,2113=-+kk k k a a a a ,∴数列{}1+n n a a 是以3为首项,公比为23的等比数列. 838391)31(312213221-=--=+++++n n n n a a a a a a .………………9分②当k n 2=,*∈N k 时,)()()()1(122212544332211154433221+-++-++-+-=-++-+-k k k k n n n b b b b b b b b b b b b b b b b b b b b b b n n k k b b k b b b b b b k k k 22482)(4)(44442222242242--=--=+⋅-=+++-=----= 当12+=k n ,*∈N k 时,1154433221)1(++-++-+-n n n b b b b b b b b b b122)34)(14(48)()()(22221212221254433221-+=+++--=+-++-+-=+++-n n k k k k b b b b b b b b b b b b b b k k k k k k又1=n 也满足上式∴⎪⎩⎪⎨⎧---+=-++-+-++为偶数时当为奇数时当n n n n n n b b b b b b b b b b n n n 22122)1(221154433221 ………14分 22、(16分)解:(1)l 过点)0,(p M 与抛物线有两个交点,设p my x l +=:,由⎩⎨⎧=+=pxy pmy x 22得02222=--p pmy y ,∴2212p y y -=⋅.……………………4分(2)当直线l 的斜率存在时,设b kx y l +=:,其中0≠k (若0=k 时不合题意).由⎩⎨⎧=+=pxy b kx y 22得0222=+-pb py ky .p k pb y y -==∴221,从而2k b -=.………6分从而2k kx y -=,得0)21(=--y k x ,即⎪⎩⎪⎨⎧==021y x ,即过定点)0,21(.………………8分当直线l 的斜率不存在,设0:x x l =,代入px y 22=得022px y =,02px y ±=,p px px px y y -=-=-⋅=∴000212)2(2,从而210=x ,即21:=x l ,也过)0,21(. 综上所述,当p y y -=21时,直线l 过定点)0,21(.…………10分(3)依题意直线l 的斜率存在且不为零,由(1)得点P 的纵坐标为pm y y y P =+=)(2121,代入p my x l +=:得p pm x P +=2,即),(2pm p pm P +.由于l '与l 互相垂直,将点P 中的m 用m 1-代,得),(2m p p mp Q -+.…………12分设),(y x N ,则⎪⎪⎩⎪⎪⎨⎧-=+++=)(21)(2122m p pm y p pm p m p x 消m 得)2(22p x p y -=………………14分 由抛物线的定义知存在直线815p x =,点)0,817(p,点N 到它们的距离相等.………16分 23、(18分)解:(1)设1x ,2x 是+R 上的任意两个数,则01lg )(4lg 2lg 2lg lg )2(2)()(2212121212121=≤+=+-+=+-+x x x x x x x x x x f x f x f ∴)]()([21)2(2121x f x f x x f +≥+.∴函数x x f lg )(=在+R 上是 “凸函数”.……4分 (2)对于]2,1[上的任意两个数1x ,2x ,均有)]()([21)2(2121x f x f x x f +≥+成立,即)]()[(212)2(22212121221x a x x a x x x a x x +++≥+++,整理得)()(21)(2121221221x x x x x x a x x +--≤-………………7分若21x x =,a 可以取任意值.若21x x ≠,得)(212121x x x x a +-≤, 1)(2182121-<+-<-x x x x ,∴8-≤a . 综上所述得8-≤a .………………10分 (3)①当1=k 时由已知得)]()([21)2(2121x f x f x x f +≥+成立. 假设当m k =)(*∈N m 时,不等式成立即)]()()([21)2(2211221m kx f x f x f x x x f mm +++≥++++ 成立. 那么,由d x x x c mm≤+++≤2221 ,d x x x c mmm m m ≤+++≤+++2222212得]}22[21{)2(22221222112211mm m mm m m m m x x x x x x f x x x f +++++++++++=++++ )]2()2([21222212221mm m m m m m x x x f x x x f ++++++++++≥ )]}()()([21)]()()([21{21122212221++++++++≥++m m m m x f x f x f x f x f x f m m )]()()([2112211++++=+m x f x f x f m . 即1+=m k 时,不等式也成立.根据数学归纳法原理不等式得证.……………………15分 ②比如证明3=n 不等式成立.由①知d x c ≤≤1,d x c ≤≤2,d x c ≤≤3,d x c ≤≤4, 有)]()()()([41)4(43214321x f x f x f x f x x x x f +++≥+++成立.d x c ≤≤1,d x c ≤≤2,d x c ≤≤3,d x x x c ≤++≤)(31321,∴)43()3(321321321x x x x x x f x x x f +++++=++)]()()()3([41421321x f x f x f x x x f +++++≥, 从而得)]()()([31)3(321321x f x f x f x x x f ++≥++.………………18分。
虹口2013初三英语二模(含答案)
虹口区2013年英语学科中考练习题Part 1 Listening (第一部分听力)2013.4 I. Listening Comprehension (听力理解) (共30分)A. Listen and choose the right picture (根据你听到的内容,选出相应的图片) (6分)A B CD E F G1._________2. _________3. __________4. _________5. _________6._________B. Listen to the dialogue and choose the best answer to the question you hear (根据你听到的对话和问题,选出最恰当的答案) (10分)( ) 7. A) At home. B) In a flower shop. C) In a school. D) In a hospital. ( ) 8. A) Have dinner. B) Clean the table. C) Read the notebook. D) Take notes. ( ) 9. A) Her father. B) Her mother. C) Her teacher. D) Her sister.( ) 10. A) One. B) Two. C) Three. D) Four.( ) 11. A) At 3:00 p.m.. B) At 6:00 p.m.. C) At 6:30 p.m.. D) At 7:00 p.m.. ( ) 12. A) By bus. B) By underground. C) By car. D) By taxi.( ) 13. A) They are talking on the phone. B) They are arguing in the room.C) They are waiting at the bus stop. D) They are having an English lesson. ( ) 14. A) I t’s just so-so. B) It’s awful.C) It’s not so good. D) It’s delicious.( ) 15. A) Terrible. B) Rude. C) Fair. D) Patient.( ) 16. A) The man hesitated to lend the woman his bike.B) The man didn’t know how to get there.C) The woman can’t go there on foot.D) The woman has broken her leg.C. Listen to the dialogue and tell whether the following statements are true or false (判断下列句子是否符合你听到的内容, 符合的用“T”表示,不符合的用“F”表示) (7分)( )17. The boy is complaining about his sight.( )18. The boy can’t see the clock tower clearly today.( )19. There is some kind of fog in the air when it is windy.( )20. There is a sandstorm and it stops people from seeing things clearly.( )21. People in Beijing are warned not to go out.( )22. Only two reasons lead to sandstorms in Beijing.( )23. We can prevent the bad weather by protecting the forests.D. Listen to th e passage and complete the following sentences (听短文,完成下列内容,每空格限填一词): (共7分)24. People turned to their ________ for some advice when they had problems in the past.25. Today advice from ________ shows, TV programs and telephone hot lines is available to us.26. A telephone hot line is the _________ way of getting advice.27. Advisers at some hot lines are ________ and people usually pay nothing for calls and advice.28. Some advisers take a ________ class before working on the hot line.29. About ________ percent of the advisers are professionals(专业人士) with years of education andexperience.30. All the advisers listen to people and help them __________their problems.Part 2 Vocabulary and Grammar(第二部分词汇和语法)Ⅱ. Choose the best answer (选择最恰当的答案) (共20分)( )31 Your manager is absent. Who will take _______ place of him?A) a B) an C) the D) /( )32. Mr. Wang met an old schoolmate of _______ on his way to the airport.A) he B) his C) him D) himself( )33. T he magic show lasted for three hours, but ______ people left early.A) few B) a few C) little D) a little( )34. After reading the story, we came to know nobody can be successful ______ any efforts.A) for B) in C) on D) without( )35. When we face(面对) any danger, we should keep __________.A) calm B) careful C) quiet D) frightened( )36. The place is too expensive to hold our party. We should find a __________ one.A) cheap B) cheaper C) cheapest D) the cheapest ( )37. We can’t do listening exercise, _______ the teacher’s recorder doesn’t work.A) for B) but C) or D) and( )38. Teenagers will learn more knowledge from real life ______ they have more chances to experience it.A) although B) if C) before D) unless( )39. _______ you wait a few more minutes? The doctor’s coming soon.A) Should B) Must C) Need D) Could( )40. The company decided to spend about five ________ yuan building a school for the children in western China.A) millions B) millions of C) million of D) million( )41. Jane plays the piano best in our class, so I never forget _____ the music she played for the first time.A) to hear B) heard C) hearing D) hear( )42. The young ought to be allowed __________ their dream by themselves.A) achieve B) to achieve C) achieving D) achieved( )43. —Could you tell me ________ you did it so well?—With my parent s’ help.A) who B) how C) when D) what( )44. The Bund as well as Shanghai Oriental Pearl TV Tower __________ thousands of foreign tourists every monthA) attracts B) attract C) will attract D) are attracting ( )45. —I phoned you this morning, but you weren’t in. Where were you at that time?— I ___________ my foreign friends around Yu Garden.A) showed B) am showing C) was showing D) would show ( )46. I felt very nervous on the plane because I ________ before.A) hadn’t flown B) haven’t flown C) didn’t fly D) wouldn’t fly ( )47. Eric’s mother has never seen a 3D film at the cinema, _________?A) hasn’t she B) has she C) isn’t she D) is she( )48. To his parents’ joy, Jack ________ a job as a manger in a bank yesterday.A) is offered B) was offered C) offered D) would offer( )49. -I will have a writing contest this weekend. I hope I will win.-______A) All right. B) I’m glad to hear that.C) Good luck. D) What a shame!( )50. -Would you please help me with my singing skills?-______. You can come to my home on weekends.A) I hope so. B) Good idea. C) I’m afraid I can’t. D) No problem.Ⅲ. Complete the following passage with the words or phrases in the box. Each can only be used once(将下列单词或词组填入空格。
英语_2013年上海市虹口区中考英语二模试卷(含答案)
2013年上海市虹口区中考英语二模试卷Ⅱ.Choosethebestanswer(选择最恰当的答案.(共20分.1. Your manager is absent.Who will take _______ place of him?()A aB anC theD /2. Mr.Wang met an old schoolmate of _______ on his way to the airport.()A heB hisC himD himself3. The magic show lasted for three hours,but ______ people left early.()A fewB a fewC littleD a little4. After reading the story,we came to know nobody can be successful ______ any efforts.()A forB inC onD without5. When we face(面对)any danger,we should keep __________.()A calmB carefulC quietD frightened6. The place is too expensive to hold our party.We should find a __________ one.()A cheapB cheaperC cheapestD the cheapest7. We can't do listening exercise,_______ the teacher's recorder doesn't work.()A forB butC orD and8. Teenagers will learn more knowledge from real life ______ they have more chances to experience it.()A althoughB ifC beforeD unless9. _______ you wait a few more minutes?The doctor's coming soon.()A ShouldB MustC NeedD Could10. The company decided to spend about five ________ yuan building a school for the children in western China.()A millionsB millions ofC million ofD million11. Jane plays the piano best in our class, so I never forget ______ the music she played for the first time.A to hearB heardC hearingD hear12. The young ought to be allowed __________ their dream by themselves.()A achieveB to achieveC achievingD achieved13. ﹣Could you tell me ________ you did it so well?﹣With my parents'help.()A whoB howC whenD what14. The Bund as well as Shanghai Oriental Pearl TV Tower __________ thousands of foreign tourists every month()A attractsB attractC will attractD are attracting15. ﹣I phoned you this morning,but you weren't in.Where were you at that time?﹣I ___________ my foreign friends around Yu Garden.()A showedB am showingC was showingD would show16. I felt very nervous on the plane because I ________ before.()A hadn't flownB haven't flownC didn't flyD wouldn't fly17. Eric's mother has never seen a 3D film at the cinema,_________?()A hasn't sheB has sheC isn't sheD is she18. To his parents'joy,Jack ________ a job as a manger in a bank yesterday.()A is offeredB was offeredC offeredD would offer19. ﹣I will have a writing contest this weekend.I hope I will win.﹣______()A All right.B I'm glad to hear that.C Good luck.D What a shame!20. ﹣Would you please help me with my writing skills?﹣________.You can come to my office every Saturday.()A That's all rightB Not at allC No problemD No,thanksⅢ.Completethefollowingpassagewiththewordsorphrasesinthebox.Eachcanonlybeusedonce(将下列单词或词组填入空格.每空格限填一词,每词只能填一次)(共8分)21. Complete the following passage with the words or phrases in the box.Each can only be used once.(将下列单词或词组填入空格.每空格限填一词,每词只能填一次)A.noticed B.cases C.cheap D.plastic E.turned intoF.society G.really H.instead I.returnedA group of graduates got together to visit their old university professor.The conversation soon (1)_______complaints about stress(压力.in work and life.Before offering his guests coffee,the professor went to the kitchen and(2)_______with a large pot of coffee and a variety of cups﹣(3)_______,glass,china,some plain﹣looking,some expensive﹣telling them to help themselves to the coffee.When all the students had a cup of coffee in hand,the professor said,"Now you have(4)_______ that all the nice﹣looking expensive cups was taken up,leaving behind the plain and (5)_______ ones.It is normal for you to want only the best for yourselves.That is also the cause of your problems and stress.""It is certain that the cup itself adds no quality to the coffee.In most (6)_______ it is just more expensive and sometimes even hides what we drink.""What all of you really want was coffee,not the cup,but you consciously went for the best cups.And then you began eyeing each other's cups.""Now consider this:Life is the coffee; the jobs,money and position in (7)_______are the cups.They are just tools to hold and contain life,and the type of cup we have does not change the quality of life we live.Sometimes,by concentrating only on the cup,we fail to enjoy the coffee.Don't let the cups drive you…enjoy the coffee (8)_______."Ⅳ.Completethesentenceswiththegivenwordsintheirproperforms(用括号中所给单词的适当形式完成下列句子,每空格限填一词.(共8分.22. China raised fuel________ for the second time after Chinese New Year.(price.23. Computer technology has developed very quickly since mid﹣________ century.(twenty.24. The football game between French team and________ team was a close game.(Italy.25. Many traffic accidents happen because of________ driving.(careful)26. The machine doesn't work.Who can________ it well?(operation)27. Our government is trying to make sure the students go to school by schoolbus________.(safe)28. It took us nearly two hours to________ this project last night.(completely)29. The TV play is based on Chinese________ in the 1940s.(historical)V.Rewritethefollowingsentencesasrequired(根据所给要求,改写下列句子.每空格限填一词.(共14分.30. Liu Qian's magic tricks on CCTV spring festival gala left me a good impression.(改为一般疑问句)________ Liu Qian's magic tricks on CCTV spring festival gala________ you a good impression?31. They are asked to write a diary in English ________.(就画线部分提问)________are they asked to write a diary in English?32. We held several charity shows to raise money for the blind children last year.(改为被动语态)Several charity shows________to raise money for the blind children last year.33. The speaker gave us a lecture on how we could improve our writing ability.(保持句意基本不变)The speaker gave us a lecture on________improve our writing ability.34. Jerry's wonderful performance was a big success.(改为感叹句)________big success Jerry's wonderful performance was!35. You should put your heart into the exam and shouldn't consider anything else.(保持句意基本不变)You should put your heart into the exam and shouldn't________anything else.36. Kitty asked me,"When will you go cycling in the countryside with me?"(改为宾语从句)Kitty asked me________ I________ go cycling in the countryside with her.IX.Readingcomprehension(阅读理解)(共50分.A.Choosethebestanswer.(根据短文内容,选择最恰当的答案):(共12分.37. I recently spent two years in the Arctic(北极)filming the series(连续剧)Blue Planet.I love being in an environment that hasn't changed for 20, 000years.Of course it's freezing, but it must be a healthy place because you never catch a cold.When I am filming, I like to really feel how lonely the environment is.Filming underwater involves cutting through thick ice.When diving in, you should tie to a line.The person at the other end of the line has to pull you out fast if necessary.At first I was a research diver for the British Antarctic Survey Project, but for me, scienceisn't exciting enough.I'd always enjoy photography, and whenever camera teams passed through, they encouraged me to watch and learn.I was then able to move into filming in 1985and have concentrated on Arctic and Antarctic wildlife ever since.I prefer to be face to face with the animals I'm filming.I haven't been in the water with killer whales yet, but I plan to.Of course, it's dangerous if you choose ________..They're big animals and can move fast, so I'd be stupid to film them when they are searching for food!I have never had problems with polar bears, although once I was frightened when onetried to get into my tent.Polar bears are bold, clever and dangerous.But I made the bearunderstand I wouldn't hurt it.Now I come back home, I work in the mornings and spend the afternoons swimming to keep fit.Now I'm fifty, and filming is harder.The challenge(挑战)for me is to go on with the high﹣quality work.(1).The writer loved the Arctic because________.A it's freezingB it's changeableC it's a healthy placeD it's an exciting place.(2).From the third paragraph we know that at first the writer was a________.A research diverB scientistC a photographerD film﹣maker.(3).The underlined phrase"the wrong moment"refers to the time when the whalesare________.A hungryB meeting strangersC having a restD moving fast.(4).Talking about his experience with a polar bear,the writer said________.A the animal was much more afraid than he wasB he felt excited,having no idea that the bear might attack himC the bear seemed to know that he wasn't dangerousD he realized he was wrong to trust polar bears.(5).What does the writer think of his job as a cameraman now?________A It's dangerous.B It's boring.C It's for young people.D It's difficult..(6).The passage is mainly about________.A the good chances in TV camera workB the challenges of the environment the writer works inC the difficulties of having to work aloneD the beautiful scenery of the Arctic.38.Choose the words or expressions and complete the passage.(选择最恰当的单词或词组完成短文:I was cute active,happy...until that day when I was 15 months old. I had a bad fall. I landed ona glass rabit and it cut my eye badly enough to blind it. The doctpr said if the eye was take out, my face would become out of(1)________,so my scarred(有疤痕的),blind and grey eye lived on with me.People often asked uncomfortable questions about my eye or(2)________ played jokes on me.When the kids played games,I was always the"bad guy".I grew up imagining that everyone looked down on me.Yet every time Mom noticed I was unhappy,she would say to me,"Hold your head up high and face the world."It helped me move on in life.As a child,I told myself,"Be careful or I will fall down or knock into something because I am not looking."As a teena ger,I always looked down to hide my shame,but I found that people liked me when sometimes I held my head up high.In high school I was even made monitor,but outside I still felt like a freak(怪物).All I really wanted was to look like (3)________.When things got really bad,I would cry to my mom and she would look at me with loving eyes and say,"Hold your head up high and face the world.Let them see the love that is inside."That is (4)________ Mom taught me pride.Mom's love and encouragement gave me the confidence to remove my own doubt.(5)________ I was able to look people in the eye.I learned not only to appreciate(欣赏.myself but to have love for others."Hold your head up high"has been heard many times in my home.Each of my children has f elt its (6)________.The gift she gave me lives on in my children.的词,使其内容通顺,首字母已给,每格限填一词):When I came out of my office,it was dark.In order to get home as soon as possible,I took a taxi.The car was flying along the road,but later it was in a traffic jam in darkness.I (86)b________ the silence for fear that the driver might be too tired to drive."When do you go back home in the evenings?""Nine o'clock.I'll go home after this (87)t________.""Then when do you come out in the mornings?"I threw out another question."Nine o'clock,too.And I go home for lunch and dinner,just as if I worked at an office."His words (88)s________ me,because every time I ride in a taxi,what I hearfrom the driver is only complaints.They complain that they have to work from morning till night,that it is hard to earn money,that they are bullied(欺负.by the police,or thatthe leaders enjoy the fruits of their work.It (89)s________ they are not satisfied with everything.But this driver told me,"I find it tiring to be a section chief as I was before.I don't like management work.I like driving,just out of pleasure.It's lucky that I (90)s________ drive without a passenger.So I can earn three or four thousand yuan a month easily.Any trick?Yes,I never follow an (91)e________taxi.If it goes southward,I go northward.If it goes along the highway,I turn into a narrow street.In this way I always get customers."His words showed his satisfaction with his life and the pride he took in his job.Such feelings are so rare among people nowadays just as oxygen in high mountains.How many people nowadays can show high ideals(理想;完美.by (92)s________ living and go witha calm mind?I couldn't help feeling moved when I found such a state of mind in a strangeron a cold winter night.40. Answer the questions.(根据短文内容回答下列问题):A clever pigeon(鸽子)just wants a chance to drive a bus or eat a hot dog.Will he succeed?A young girl loses her favourite toy in the park.What will she do?These are just a few ofthe questions raised in the books of award﹣winning author Mo Willems.His picture book Don't Let the Pigeon Drive the Bus!has been named a Caldecott Honor book.Willems has also written The Pigeon Finds a Hot Dog!and many other books.Before writing books,Willems spent many years writing for television.He is now the head writer for Cartoon Network's program:Kids Next Door.The reporter asked Willems about his writing.Reporter:What makes the great picture book attract readers of all ages?Willems:The difference between adults and kids is that kids are shorter.They are exactly the same.They don't like being talked down to.And they like funny stories.I'm not writing things that I think kids will like.I'm writing things just I like and I believe that's good enough for kids and for everyone else to enjoy.Reporter:What a strong character!How confident you are!What five words would you useto describe yourself?Willems:I can do it in three:I like fun.Reporter:Do you have any words of wisdom for kids?Willems:People who say that you can do anything you want are not honest.Other people tell you that you can do something,and that's true.You can't do everything.You can't fly.You don't have super powers but you can do some things.If you work hard enough,and figure out what those things are,you can do them.Reporter:Actually,you share a common journey through life with readers in your books.Your humor can be a good way of developing better relationships among various people.Thank you very much for taking the time for the interview.(1)_______.Are adults more powerful than kids?________,________.(2)_______.Kids Next Door isn't a famous picture book,is it?________,________.(3)_______.What makes his books attract readers of all ages?He writes________.(4)_______.How does Mo Willems describe himself?________.(5)_______.What does Mo Willems want to tell children?Without magic power,________ but________.(6)_______.The reporter thinks Mo Willems is very confident.How does he know that?________.Ⅶ.Writing(作文.(共20分.)41. Write a passage of at least 60words on the topic"I want to recommend a good bookto …".(以"我想要给…推荐一本好书"为题写一篇不少于60个词的短文,标点符号不占格.(注意:短文中不得出现考生的姓名、校名及其他相关信息,否则不予评分.)Some words for reference (仅供参考)•Who…?•What…?•Why…?________________________________.2013年上海市虹口区中考英语二模试卷答案1. C2. B3. A4. D5. A6. B7. A8. B9. D10. D11. C12. B13. B14. A15. C16. A17. B18. B19. C20. C21. E,I,D,A,C,B,F,H22. prices23. twentieth24. Italian25. careless26. operate27. safely28. complete29. history30. Did,leave31. every day.,Howoften32. wereheld33. howto34. Whata35. thinkabout36. when,would37. CAACDB38. C,B,D,C,C,A39. roke,rip,urprised,eems,eldom,mpty,imple40. No,they don't,No,it isn't,funny stories and has a sense of humor,He likes fun.,you can do some things,you can't do everything.,He writes things just he likes and he believes that's good enough for kids and for everyone else to enjoy.41. AgoodbookisagoodfriendI'dliketointroduceagoodbookHarryPottertomycousinTom,Harry PotterisaseriesofsevenfantasynovelswrittenbyBritishauthorJKRowlingThebooktellsustheadv enturesofHarryPotterandhisfriendsfromtheHogwartsSchoolAlthoughthecharactersarecompl ex,wegetattachedtothemeasilyandfeelfortheirpainandhappinessWhat'smore,itmakespeoplethinkwhattheyshoulddoforthepeopletheyloveandwhatisreallyimportantinlife 【高分句型】,My cousin Tom is a little boy who is crazy about magic tales and stories.Harry Potter can show him a fascinating world and inspire his imagination.The strong and lovely characters can help him build his own personality.I'm sure he can also learn about love and friendship from the book【高分句型】.,I do hope Tom will like the book and my recommendation can help him。
上海市虹口区中考化学二模试卷(解析版)
上海市虹口区2013年中考化学二模试卷一、选择题(共60分)下列各题均只有一个正确选项,请将正确选项的代号用2B铅笔填涂在答题纸相应位置上,更改答案时,用橡皮擦去,重新填涂.4.(3分)(2013•虹口区二模)化学与生活密切相关,生活中常见的现象属于化学变化的是)7.(3分)(2013•虹口区二模)三氧化二铋(Bi2O3)俗称铋黄,是制作防火纸的材料之一.Bi2O38.(3分)(2013•虹口区二模)飞船常利用反应2Na2O2+2CO2═2X+O2来提供氧气,“X”的化(2013•虹口区二模)在工业炼铁反应3CO+FeO33CO2+2Fe中,做还原剂的是()(3分)9.+3CO 2Fe+3CO3222Fe3CaO+CO2Fe14.(3分)(2013•虹口区二模)正确的实验操作对实验结果、人身安全非常重要.下列实验操作正确的是()18.(3分)(2013•虹口区二模)用集气瓶可完成多种实验.对下列实验示意图的分析正确的是()19.(3分)(2013•虹口区二模)科学研究发现,金星大气层的成分之一是三氧化二碳(C2O3),20.(3分)(2013•虹口区二模)K2SO4中混有少量KNO3,分离该混合物有如下操作:①将混合物溶解形成浓溶液;②加热蒸发;③冷却;④过滤,移出KNO3晶体;⑤过滤,移出K2SO4晶体.下列分析正确的是()二、填空题(共21分)请将结果填入答题纸的相应位置.21.(3分)(2013•虹口区二模)人类生存离不开空气.①日常生活中燃料燃烧是与空气中的O2发生的化学反应.化石燃料燃烧产生的SO2、CO2、粉尘等物质带来很多环境问题,例如,引起酸雨的主要物质是SO2,引起温室效应的物质是CO2.工业上可以用氢氧化钙悬浊液吸收SO2生成CaSO3白色沉淀,该反应的化学方程式是SO2+Ca(OH)2═CaSO3↓+H2O .②图中是研究空气组成的实验.足量红磷燃烧产生大量的白烟,这是生成的P2O5(填化学式).红磷熄灭后冷却至室温,打开止水夹可以观察到液体倒流回A中(约),剩余气体是混合物(填“纯净物”或“混合物”).22.(4分)(2013•虹口区二模)水对人类生活、生产有着重要意义.①图一是某自来水厂的净水过程示意图,其中活性炭的作用是吸附,常用的消毒剂是氯气.②18世纪末,在前人探索的基础上,法国化学家拉瓦锡通过水的生成和分解实验研究确定了水的组成.图二是电解水的装置,试管a中的气体是氢气.将a、b中的气体混合,如图三所示点燃,发出尖锐的爆鸣声,试管内壁出现小液滴,该液体是H2O (填化学式).③水是一种良好的溶剂,生活中经常把溶于水的物质配成溶液使用.葡萄糖注射液是医院中常用的药品.葡萄糖(C6H12O6)由 3 种元素组成,每个C6H12O6分子中含有24 个原子,C6H12O6中H的质量分数是 6.7% (精确到0.1%).的质量分数是:23.(7分)(2013•虹口区二模)甲和乙两种固体在不同温度时的溶解度如表所示,请回答图中能表示乙溶解度曲线的是n .(填“m”或“n”)②若t1=10,则a为20.9 g/100g水.③40℃,100g乙的饱和溶液,恒温蒸发10g水析出晶体的质量是 4 g,此时溶液的溶质质量分数是28.6% (精确到0.1%).晶体,溶液中溶质的质量分数是24.(7分)(2013•虹口区二模)某黑色固体A进行如下反应:请推断下列物质:①A是氧化铜,Z是氢氧化钡②X是 b .a.稀盐酸 b.稀硫酸 c.稀硝酸 d.稀硫酸或稀盐酸.三、简答题(共19分)请根据要求在答题纸相应的位置作答.25.(6分)(2013•虹口区二模)实验室常用仪器如下.①写出仪器名称 E 水槽.②请在图一中选择仪器完成下列实验(填仪器编号)Ⅰ.用图二装置制取并收集氧气,还需要的仪器是CE .Ⅱ.将图三中的氧气导出,需要的仪器是BD .③图一中的仪器能否组成随开随用、随关随停的气体发生装置?不能.(填“能”或“不能”)④加热0.04mol氯酸钾与一定量二氧化锰的混合物,最多可以得到多少克氧气?(根据化学方程式列式计算)32KCl+3O26.(6分)(2013•虹口区二模)某同学用如下装置,进行有关碳及其氧化物的实验(图中固定试管的仪器已略去).22COCO+CuO22COCO+CuO Cu+CO22COCu+CO27.(7分)(2013•虹口区二模)实验室有一瓶放置已久的固体干燥剂M,某小组为研究其成分进行如下探究.实验一:进行焰色反应后,确定样品中只有钙、钠两种金属元素.实验二:取少量样品继续进行如下探究.干燥剂样品M白色不溶物A无色溶液B稀盐酸足量水溶解无色无味的气体C澄清石灰水白色沉淀足量CaCl2溶液(pH=7)过滤白色沉淀A红色溶液酚酞红色溶液无温度变化过滤①A是碳酸钙,溶液B的溶质是氢氧化钠和碳酸钠.②该样品M的成分可能是氢氧化钙、碳酸钠、碳酸钙(或氢氧化钙、碳酸钠).③上述流程图中,若先加入足量氯化钙溶液再加入酚酞能(填“能”或“不能”)确定溶液B的成分.。
2013年上海市虹口区高考二模地理试题及答案
上海市虹口区2013年高考二模地理试题(2013.4)本试卷共10页。
满分150分。
考试时间120分钟。
全卷包括两大题,第一大题为选择题;第二大题为综合分析题,包括共同部分和选择部分。
考生注意:1.答卷前,务必在答题纸上用钢笔或圆珠笔清楚填写姓名、准考证号,并将核对后的条形码贴在指定位置上。
2.答案必须全部涂写在答题纸上。
所有考生完成第一大题和第二大题的共同部分。
第二大题选择部分分为A、B两组,两组试题分值相同。
A组对应于考试手册中的“任选模块一”,B组对应于“任选模块二”,考生须任选一组答题,如果考生应答了两组试题,只对A组的应答进行评分。
一、选择题(共60分,每小题2分。
每小题只有一个正确答案)(一)读美国本土主要自然灾害分布示意图,图中阴影部分①~④代表不同的灾害类型。
1.图中灾害类型与序号对应正确的是A.①龙卷风②海啸③飓风④暴风雪B.①海啸②暴风雪③龙卷风④飓风C.①海啸②飓风③龙卷风④暴风雪D.①飓风②暴风雪③龙卷风④海啸2.下列关于美国本土自然灾害发生时间的叙述,正确的是A.飓风一般发生在春季 B.暴风雪主要发生在冬季C.海啸一般发生在白天 D.龙卷风主要发生在夜晚(二)海洋与大气存在相互作用。
3.海洋浮游植物通过光合作用与呼吸作用能够对大气中CO2浓度进行调节,有人称之为海洋“生物泵”作用。
该作用可能A.缓解全球变暖 B.缩小臭氧层空洞C.减轻酸雨污染 D.加快洋流流速4.下列地球大气与海洋相互作用过程及其结果符合事实的是A.大气通过降水将水分输送给海洋,驱动洋流B.海洋通过辐射等形式将热量输送给大气,影响大气环流C.大气通过对流将臭氧输送给海洋,加重赤潮D.海洋通过蒸发将水汽输送给大气,形成信风(三)下图为我国某市同一地区不同时期地价曲线图。
5.该地区地价的变化,反映了一系列问题。
下列叙述正确的是①市区地价上涨,且距市中心越近,上涨幅度越大②城市交通通达度有所提高③城市化进程加快,城市人口向市中心集中④甲处可能会出现高级住宅区A.②③ B.②④ C.①④ D.①③6.该城市若反映的是右图的地价变化,则d的取值应该A.与a相等 B.与b相等 C.与c相等 D.无法确定(四)根据土地利用结构调整的需要,科研人员对某生态脆弱区的农业土地利用拟定了三种方案(表1、表2)。
2012-2013学年上海市虹口区中考二模数学试卷及参考答案
2012-2013学年上海市虹口区中考二模数学试卷及答案一选择题:(本大题共6题,每题4分,满分24分) 1.在下列各数中,属于无理数的是A .53B .πC D 2.在下列一元二次方程中,没有实数根的是A .20x x -=B .210x -=C .2230x x --=D .2230x x -+=3.在平面直角坐标系xOy 中,直线2y x =-+经过A .第一、二、三象限B .第一、二、四象限C .第一、三、四象限D .第二、三、四象限4.某小区20则这20户家庭该月用电量的众数和中位数分别是 A .180,160B .160,180C .160,160D .180,1805.已知两圆内切,圆心距为5,其中一个圆的半径长为8,那么另一个圆的半径长是 A .3B .13C .3或13D .以上都不对6.在下列命题中,属于假命题...的是 A .对角线相等的梯形是等腰梯形 B .两腰相等的梯形是等腰梯形 C .底角相等的梯形是等腰梯形D .等腰三角形被平行于底边的直线截成两部分,所截得的四边形是等腰梯形二.填空题:(本大题共12题,每题4分,满分48分)7.计算:22-= .8.不等式组24050x x +>⎧⎨-<⎩的解集是 .9.用换元法解分式方程13201x x x x +-+=+时,如果设1x y x+=,那么原方程化为关于y 的整式方程可以是 .10x 的解是 .11.对于双曲线1k y x-=,若在每个象限内,y 随x 的增大而增大,则k 的取值范围是 .214.为了解某校九年级学生体能情况,随机抽查了其中的25名学生,测试了1分钟仰卧起坐的次数,并绘制成频数分布直方图(如图所示),那么仰卧起坐的次数在20~25的频率是 .15.若正六边形的边长是1,则它的半径是 .16.在□ABCD 中,已知AC a =,DB b =,则用向量a 、b 表示向量AB 为 . 17.将△ABC 绕点A 按逆时针方向旋转θ度,并使各边长变为原来的n 倍得△AB′ C′ ,即如图①,'BAB θ∠=,''''AB B C AC n AB BC AC===,我们将这种变换记为[θ,n ] .如图②,在△DEF 中,90DFE ∠=︒,将△DEF 绕点D 旋转,作变换[60°,n ]得△DE′F′,如果点E 、F 、F′恰好在同一直线上,那么n = .18.如图,在直角梯形纸片ABCD 中,//AD BC ,90A ∠=︒, 30C ∠=︒,点F 是CD 边上一点,将纸片沿BF 折叠,点C落在E 点,使直线BE 经过点D ,若8BF CF ==,则AD 的 长为 .三.解答题(本大题共7题,满分78分)19.先化简,再求值:2224442x x x x x ⎛⎫-+÷- ⎪+⎝⎭,其中x20.解方程组:222321x y x xy y +=⎧⎨-+=⎩① ② A BCD第18题图第14题图(每组含最小值,不含最大值)ABC B′第17题图C ′DE ′F ′F图① 图②21.如图,在△ABC 中,10AB AC ==,3sin ABC 5∠=,圆O 经过点B 、C ,圆心O 在△ABC 的内部,且到点A 的距离为2,求圆O 的半径.22.某超市进了一批成本为6元/个的文具.调查后发现:这种文具每周的销售量y (个)与(1)求y 与x 之间的函数解析式(不必写出定义域);(2)已知该超市这种文具每周的销售量不少于60个,若该超市某周销售这种文具(不考虑其它因素)的利润为800元,求该周每个文具的销售价.第21题图23.已知:如图,在正方形ABCD 中,点E 、F 分别在边BC 和CD 上,BAE DAF ∠=∠.(1)求证:BE DF =;(2)联结AC 交EF 于点O ,延长OC 至点M ,使OM OA =,联结EM 、FM .求证:四边形AEMF 是菱形.24.已知:直线24y x =-+交x 轴于点A ,交y 轴于点B ,点C 为x 轴上一点,1AC =, 且OC OA <.抛物线2y ax bx c =++()0a ≠经过点A 、B 、C . (1)求该抛物线的表达式;(2)点D 的坐标为()3,0-,点P 为线段AB 上一点,当锐角PDO ∠的正切值为12时,求点P 的坐标;(3)在(2)的条件下,该抛物线上的一点E 在x 轴下方,当△ADE 的面积等于四边形APCE 的面积时,求点E 的坐标.AD BEFOCM第23题图25.在Rt △ABC 中,90,6,8A AB AC ∠=︒==,点D 为边BC 的中点,DE BC ⊥交边AC 于点E ,点P 为射线AB 上一动点,点Q 为边AC 上一动点,且90PDQ ∠=︒.(1)求ED 、EC 的长; (2)若2BP =,求CQ 的长;(3)记线段PQ 与线段DE 的交点为点F ,若△PDF 为等腰三角形,求BP 的长.ABEC DABCED第25题图(备用图)参考答案一、选择题:(本大题共6题,满分24分)1.B ; 2.D ; 3.B ; 4.A ; 5.C ; 6.C .二、填空题:(本大题共12题,满分48分)7.14; 8. 25x -<<; 9.2230y y +-=; 10.3x =; 11.k <1; 12.23(2)y x =+; 13.4; 14.0.2;15.1; 16.1122a b +; 17.2; 18.三、解答题:(本大题共7题,满分78分)19.解:原式=2(2)(2)44(2)x x x x x x x +--+÷+………………………………………………(3分) 2(2)(2)(2)(2)x x x x x x +-=⋅+- …………………………………………………(2分) 1x =- ………………………………………………………………………(2分)当x =原式2…………………………………………………(3分)20.解:由②得:2()1x y -=,∴ 1x y -=或1x y -=- ……………………………………………………(2分) 把上式同①联立方程组得:231x y x y +=⎧⎨-=⎩,23,1x y x y +=⎧⎨-=-⎩ …………………………………………………(4分)解得:114313x y ⎧=⎪⎪⎨⎪=⎪⎩,222353x y ⎧=⎪⎪⎨=⎪⎩∴原方程组的解为114313x y ⎧=⎪⎪⎨⎪=⎪⎩222353x y ⎧=⎪⎪⎨⎪=⎪⎩.……………………………………………(4分) 注:用代入消元法解,请参照给分.21.解:过点A 作AD ⊥BC ,垂足为点D …………………………………………………(1分)∵3sin 5ABC ∠= ∴4cos 5ABC ∠=………………………………………………(1分)在Rt △ABD 中,4cos 1085BD AB ABC =⋅∠=⨯=………………………………(1分)3sin 1065AD AB ABC =⋅∠=⨯=…………………………………(1分)∵AB=AC=10 AD ⊥BC ∴BC=2BD=16…………………………………………(1分) ∵AD 垂直平分BC ∴圆心O 在直线AD 上………………………………………(2分) ∴OD=6-2=4 ……………………………………………………………………………(1分) 联结BO ,在Rt △OBD 中,BO=(2分) ∴圆O 的半径为22.解:(1)设所求函数解析式为y =kx +b (0k ≠)…………………………………(1分)由题意得:220819011k bk b =+⎧⎨=+⎩解之得:10300k b =-⎧⎨=⎩………………………(2分)∴y 与x 之间的函数解析式为y =-10x +300. ………………………………(1分)(2)由题意得(x -6)(-10x +300)=800 ……………………………………………(2分)整理得,x 2-36x +260=01210,26x x ==…………………………………………………………………(2分) 当x =10时,y =200当x =26时,y =40<60 ∴x =26舍去 ……………………………………………(1分)答:该周每个文具销售价为10元. ………………………………………………(1分)23.证明:(1)∵正方形ABCD ,∴AB=AD ,∠B =∠D =90°…………………………(2分)∵∠BAE = ∠DAF∴△ABE ≌△ADF ……………………………………………………………(1分) ∴BE = DF ……………………………………………………………………(2分) (2)∵正方形ABCD ,∴∠BAC =∠DAC ………………………………………(1分) ∵∠BAE =∠DAF ∴∠EAO =∠F AO ……………………………………(1分)∵△ABE ≌△ADF ∴AE = AF …………………………………………(1分) ∴EO=FO ,AO ⊥EF …………………………………………………………(2分) ∵OM = OA ∴ 四边形AEMF 是平行四边形……………………………(1分) ∵AO ⊥EF ∴四边形AEMF 是菱形……………………………………(1分)24.解:(1)易得:A (2,0),B (0,4)∵AC =1且OC <OA ∴点C 在线段OA 上∴C (1,0) …………………………………………………………………(1分) ∵A (2,0),B (0,4),C (1,0)在抛物线2(0)y ax bx c a =++≠上, ∴42040a b c c a b c ++=⎧⎪=⎨⎪++=⎩ 解得: 264a b c =⎧⎪=-⎨⎪=⎩∴所求抛物线的表达式为2264y x x =-+………………………………(3分) (2)∵锐角∠PDO 的正切值为12, 1tan 2ABO ∠= (ABO ∠为锐角)∴ABO PDA ∠=∠,∵点P 为线段AB 上一点,∴BAO DAP ∠=∠∴△ABO ∽△ADP ……………………………………………………………(1分) ∴AP ADAO=, 又AO =2 , AB =,AD =5 ∴AP =(1分)过点P 作PF AO ⊥于点F ,可证PF ∥BO ,∴AP PFAB BO=可得:P F=2,即点P 的纵坐标是2.∴可得P (1,2)………………………………………………………………(2分)(3)设点E 的纵坐标为m (m <0), ∴1522ADE S AD m m =⋅=-△ ∵P (1,2),∴11()(2)22p APCE S AC y m m =⋅+=-四由ADE APCE S S =△四得:15(2)22m m -=- ……………………………………(2分)解得:12m =-∴点E 31(,)22-…………………………………………………………………(2分)25.解:(1)在Rt △ABC 中,∠A =90°,AB=6,AC=8 ∴BC=10……………………(1分)点D 为BC 的中点 ∴CD =5 可证△ABC ∽△DEC∴DE EC CD AB BC AC ==, 即56108DE EC ==………………………………(1分) ∴154DE =,254CE =……………………………………………………(2分)(2)①当点P 在AB 边上时,在Rt △ABC 中,∠B +∠C =90°,在Rt △EDC 中,∠DEC +∠C =90°, ∴∠DEC=∠B∵DE ⊥BC ,∠PDQ =90° ∴∠PDQ =∠BDE =90° ∴∠BDP =∠EDQ∴△BPD ∽△EQD ……………………………………………………………(1分)∴EQ DE BP BD =, 即15425EQ =, ∴32EQ = ………………………………………………………………………(2分)∴CQ=EC -EQ 194=……………………………………………………………(1分)②当点P 在AB 的延长线上时,同理可得:32EQ =,∴CQ=EC +EQ 314= …………………………………………………………(1分)(3)∵线段PQ 与线段DE 的交点为点F ,∴点P 在边AB 上∵△BPD ∽△EQD ∴43BP BD PD EQ ED QD === 若设BP =x ,则34E Q x =,25344CQ x =- …………………………………(1分)可得4cot cot 3QPD C ∠== ∴∠QPD =∠C又可证∠PDE =∠CDQ ∴△PDF ∽△CDQ∵△PDF 为等腰三角形 ∴△CDQ 为等腰三角形………………………(1分) ①当CQ=CD 时,可得:253544x -= 解得:53x =………………………(1分)②当QC=QD 时, 过点Q 作QM ⊥CB 于M , ∴1522CM CD ==,5525248CQ =⨯= ∴25325448x -=, 解得 256x =……………………………………………(1分)③当DC=DQ 时,过点D 作DN ⊥CQ 于N , ∴4545CN =⨯=,28CQ CN ==∴253844x-=,解得73x=-(不合题意,舍去)…………………………(1分)∴综上所述,53BP=或256.。
上海市虹口区2013年高考二模英语试卷附答案
虹口区2013年英语学科高考练习题2013.4第I卷(105分)I. Listening ComprehensionSection ADirections: In Section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. A. Coke. B. Coffee. C. Tea. D. Water.2. A. At a restaurant. B. At a studio. C. At a concert. D. At a theatre.3. A. Relieved. B. Worried. C. Confused. D. Depressed.4. A. The Browns. B. The Browns’son. C. The postman. D. The neighbour.5. A. 7:00. B. 7:10. C. 9:00. D. 9:10.6. A. The ring is not hers. B. She doesn’t have gold rings.C. She prefers gold to silver.D. She lost her silver ring.7. A. The screen doesn’t have to be cleaned. B. The keyboard also needs cleaning.C. The man shouldn’t do the cleaning.D. There’s not enough ti me to clean both.8. A. The driver will stop the bus immediately. B. The guy by the door will help the woman.C. The woman should check the map.D. He will tell the woman when to get off.9. A. She dislikes fireworks. B. She has plans for the evening.C. She doesn’t feel like going out.D. She has to get theatre tickets.10. A. They can’t see the stars clearly. B. They’re not in the city tonight.C. They’re looking at the stars from the city.D. They’re talking about movie stars.Section BDirections:In Section B,you will hear two short passages,and you will be asked three questions on each of the passages.The passages will be read twice,but the questions will be spoken only once.When you hear a question,read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.Questions 11through 13are based on the following passage.11. A. It can make her famous. B. It is easy and rewarding.C. It is dangerous but exciting.D. It has its moving moment.12. A. Somebody was killed. B. Nobody was injured.C. Karen was physically hurt.D. Many buildings exploded.Blanks 21 through 24 are based on the following conversation.Complete the form. Write NO MORE THAN THREE WORDS for each answer.one28. No situations are more annoying and frightening than being trapped in a car that ______start.A. won’tB. can’tC. mustn’tD. shan’t29. The girl as well as her classmates dislikes that horrible and bleeding story, ______?A. does sheB. doesn’t sheC. do theyD. don’t they30. --Excuse me. I wonder where I can get help. I ______my passport.--But where did you lose it?A. have lostB. lostC. had lostD. was losing31. Generally, we never enjoy visiting cities because we know one city is much like ______.A. the otherB. anotherC. the othersD. others32. --How long do you think it is ______she became a student teacher?--Half a year at least.A. whenB. beforeC. thatD. since33. Although a young kid, Johnson could resist ______what to do and what not to do.A. to be toldB. having been toldC. being toldD. to have been told34. Word makes people heart-broken ______a baby in a stolen car was cruelly killed by a bad guy.A. whereB. whichC. whenD. that35. The time is not far away ______fair national health service will be available to all Chinese people.A. whenB. asC. untilD. before36. The newly -married young couple have bought an apartment in a downtown street ______.A. the same size with yoursB. the same size of youC. as large as yoursD. as large as your size37. Animals of the cat family are very fierce, and they can’t be easily tamed unless ______young.A. catchingB. having caughtC. caughtD. to be caught38. At the scene of the accident, people should leave things ______they are until the police arrive.A. asB. whichC. whenD. what39. The two old sisters, so long, held each other and burst into tears.A. being separatedB. having been separatedC. having separatedD. separating40. With his design completed in advance, Harper took his seat heavily, feeling pleased ______he was a man of action.A. whichB. whatC. thatD. whetherSection BDirections: Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.How do successful people think? What drives them? Interviews and investigations __41__ that there are several keys to success that successful people share.First of all, successful people never blame someone or something outside of themselves for their __42__ to go ahead. They realize that their future lies in their own hands. They understand that they cannot __43__ things in life, such as nature, the past and other people. But in the meantime, they are well aware that they can control their own thoughts and actions. They take __44__ for their life and regard this as one of the most empowering things they can do. Perhaps what most __45__ successful people from others is that they live a life “on purpose” ---- they are doing what they believe they are put here to do. In their opinion, having a purpose in their life is the most important element that enables them to become fully __46__ people. They hold that when they live their life on purpose, their main concern is to do the job right. They love what they do ---- and it shows. People want to do business with them because of their commitment (责任心). To live their life on purpose, successful people find a cause they believe in and __47__ a business around it. Besides, they never easily give up. Once they have set up goals in their life, they are __48__ to do whatever it takes to achieve their goals. Rather than seeing it __49__ or depressing they use the knowledge to spur themselves on and go after what they want energetically and passionately.III. Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.The Making of a SurgeonHow does a doctor recognize the point in time when he is finally a “surgeon”? As my year as chief resident (进修医生) drew to a close, I asked myself this question on more than one occasion.The answer, I concluded, was __50__. When you can say to yourself, “There is no surgical patient I cannot treat competently (胜任地), treat just __51__ or better than any other surgeon”-- then, and not until then, you are indeed a surgeon. I was __52__ that point.Take, __53__, the emergency situations that we met almost every night.The first few months of the year I had __54__ the ringing of the telephone. I knew it meant another critical resolution to be __55__. Often, after I had told Walt or Larry what to do in a particular __56__, I’d have trouble getting back to sleep. I’d __57__ all the facts of the case and, often, wonder if I had made a poor decision. More than once at two or three in the morning, after lying __58__ for an hour, I’d get out of bed, dress and drive to the hospital to see the patient myself. It was the only way I could find the __59__ of mind I needed to relax.Now, in the last month of my reside ncy, __60__ was no longer a problem. Sometimes I still couldn’t be sure of my decision, but I had learned to accept this as a __61__ problem for a surgeon. I knew that with my knowledge and experience, any decision I’d made was certain to be a __62__ one. It was a nice feeling.This all sounds conceited (自负的) and I guess it is -- but a surgeon needs conceit. He needs it to encourage him in trying moments when he’s bothered by the __63__ and uncertainties that are part of the practice of medicine. He has to feel that he’s as good as and probably better than any other surgeon in the world. Call it conceit -- call it self-confidence; whatever it was, I had it. And it is, I am sure, what a person has to make a(n) __64__ in life.50. A. self-service B. self-appreciation C. self-respect D. self-confidence51. A. more than B. as well as C. other than D. as long as52. A. supporting B. approving C. handling D. approaching53. A. for example B. in reality C. by contrast D. at intervals54. A. valued B. avoided C. feared D. enjoyed55. A. adopted B. applied C. included D. developed56. A. condition B. state C. occasion D. situation57. A. retell B. review C. revise D. remind58. A. awake B. ashamed C. awkward D. asleep59. A. peace B. trouble C. sorrow D. excitement60. A. driving B. reviewing C. sleeping D. operating61. A. medical B. constant C. surgical D. rare62. A. critical B. specific C. proper D. difficult63. A. confidence B. conceit C. solutions D. doubts64. A. effort B. success C. chance D. promiseSection BDirections:Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.AChange is one of the common facts of life. Most of us have seen a number of changes in our own lives from simple things like fashion trends and entertainment to big changes in technology.Language, too, has experienced change and continues to develop. The continuous change is what keeps languages alive.Slang is a way in which languages can transform and are renewed. Slang is the use of informal words and expressions that are not considered standard in a language. Some consider slang to be witty (言辞巧妙的) and clever, adding spice to the informal written and spoken language. Walt Whitman described slang as “the start of imagination and humor, breathing into its nostrils (鼻孔) the breath of life”. However, others criticize its use, believing that it weakens the language.The spoken English language of today’s younger generation is filled with slang words and expressions. These lively words and phrases are an example of how language plants its own seeds of change that develop within social circumstances.Sometimes slang is the use of a word that is already in the standard dictionary, for example, lift (to pick up or raise) is given a new meaning, such as “to steal”; or hunk (a large piece of something) has now become “a handsome man”. Other times, sla ng is an invented word, such as chocoholic, which means “a person who loves chocolate”. Other invented words are mula, which means “money” and airhead, which means “a person who is stupid”.Now, you’ll understand your friends if they say something like, “I was such an airhead to think that I could get away with lifting a whole box of chocolates from the store just because I was all out of mula.”65.What was Whitman’s attitude towards slang?A. He was doubtful about it.B. He thought highly of it.C. He showed no interest in it.D. He was against the use of it.66.The underlined word “spice”in the third paragraph probably means “______”.A. damageB. difficultyC. funD. sugar67.Which of the following is TRUE according to the passage?A. “Hunk”is an invented word.B. Slang cannot be found in the dictionary.C. An “airhead”refers to a person out of money.D. People hold different opinions towards slang.68.What’s the main idea of the passage?A. An introduction to slang.B. The change of language.C. The use of slang.D. The origin of slang.BIt’s said that someone somewhere in the world is always eating sushi (寿司). It’s the healthy snack of choice forpeople of all cultures.There are different recipes (食谱) for making sushi. This one is really easy and fun. Try it!69. To make sushi more delicious, you may as well ______.A. pour some green tea into riceB. eat it with a bit soy sauce and wasabiC. add as much wasabi as possible to get a healthy snackD. choose cooked fish rather than fish that are uncooked70. What does this passage mainly discuss?A. Making sushi is easy and funB. popular Japanese fast foodC. Making your own sushiD. There are different recipes for making sushi71. We can infer from the passage that ______.A. Sushi has become a multi-billion industryB. Making sushi is a demanding job for every oneC. Sushi is popular not only in Japan but also in ChinaD. You s hould buy sushi in shops or supermarkets only on people’s recommendationC“To be or not to be.” Outside the Bible, these six words are the most famous in all the literature of the world. They were spoken by Hamlet when he was thinking aloud, and they are the most famous words in Shakespeare because Hamlet was speaking not only for himself but for every thinking man and woman. To be or not to be ---- to live or not to live, to live richly and abundantly (丰富地) and eagerly, or to live dully and meanly and scarcely. A philosopher once wanted to know whether he was alive or not, which is a good question for everyone to put to himself occasionally. He answered it by saying, “I think, therefore I am.”But the be st definition of existence I ever saw was one written by another philosopher who said, “To be is to be in relations.” If this is true, then the more relations a living thing has, the more it is alive. To live abundantly means simpl y to increase the range and intensity (强度) of our relations. Unfortunately, we are so constituted (组成) that we get to love our routine. But other than our regular occupation, how much are we alive? If you are interested only in your regular occupation, you are alive only to that extent. So far as other things are concerned ---- poetry and prose, music,pictures, sports, unselfish friendships, politics, international affairs ---- you are dead.On the contrary, it is true that every time you acquire a new interest ---- even more, a new accomplishment ---- you increase your power of life. No one who is deeply interested in different kinds of subjects can remain unhappy. The real pessimist is the person who has lost interest.Bacon said that a man dies as often as he loses a friend. But we gain new life by contacts with new friends, and new ideas and thoughts, too. Where your thoughts are, there will be your life also. If your thoughts are limited only to your business, only to your physical welfare, only to your narrow circle of the town in which you live, then you live in a narrow restricted life. But if you are interested in the characters of a good novel, then you are living with those highly interested people; if you listen intently (专注地) to fine music, you are always away from immediate surroundings and living in a world of passion and imagination.To be or not to be ---- to live intensely and richly, or merely to exist, depends on ourselves. Let us widen and intensify (增强) our relations. While we live, let us live.72.What does the author mainly want to do by this passage?A. The author wants to argue against an idea.B. The author wants to put forward an idea.C. The author wants to introduce some famous sayings.D. The author wants to explain some famous sayings.73.What does the underlined word “pessimist”most probably mean?A. It means somebody who always expects the worst to happen.B. It means somebody who is always interested in making new friends.C. It means somebody who always lives in a world of passion and imagination.D. It means somebody who likes to live a rich and abundant life.74.Which of the following behaviors is probably encouraged by the author?A. Limiting our thoughts to our business and physical welfareB. Exposing ourselves to new friends,ideas and thoughts.C. Getting along with those highly interested people.D. Living in a world of passion and imagination.75.What is the main idea of the passage?A. To be or not to be,that is a question.B. I think,therefore I am.C. To be is to be in relations.D. A man dies as often as he loses a friend.Section CDirections: Read the following text and choose the most suitable heading from A-F for each paragraph. There is one extra heading which you do not need.A. A tool to analyze tourism competitivenessB. Opportunities from the potential marketsC. A significant contribution to economyD. Distance and policy obstaclesE. Opportunities in existence with challengesF. Natural and cultural draw card76._______Tourism is considered as one of the fastest growing industries in Australia, which contributes significantly to the Australian economy. According to ATC (September 1998), 4.22 million visitors came to Australia in the year ending June, 1998. The main visitors are from Japan, New Zealand and United Kingdom. This paper attempts to analyze whether Australia has the ability to compete successfully with other countries as it enters the new millennium. The analysis will be used as the tool to analyze Australian tourism competitiveness.77._______The most obvious strength of Australia is the diversity of natural and manmade attractions. Aus-tralia has hundreds of national parks, many of which are world heritage listed. Moreover, there are many unique plants and wildlife found nowhere else on earth. Conde Nast Traveller magazine has recently ranked Australia as the best desirable destination for travelers in 1998, with Sydney being chosen as the best city in the world. Another strength of Australia is the friendliness and easygoing attitude of Australian people, which is world-famous. In addition, the mix of Australian population is truly multicultural. This cultural diversity reflects in the diversity of art, entertain-ment, and cuisine found in Australia. Apart from the great mix of culture, Aboriginal culture is also another draw card for Australia. The recent survey found that 80% of European visitors want to see and experience Aboriginal culture when they come to Australia.78._______One of Australia’s inherent weaknesses is its geographical isolation. This means Australia can not position itself as a mass tourism market. However, Australian Tourist Commission attempts to change the perception of distance barrier by promoting Australia as the destinati on that “takes only as long to get to as a flight between West coast United States and Europe”. Restrictive visa policy is another weakness. Australia’s visa policy is against international trend towards more freedom of international travel. In addition, visa fee of $ 50 has been implemented upon the visitors from Asian countries. Visa regulation should be relaxed, at least to allow free entry for citizens of low risk countries, those which have low visa rejection rates and low overstay rates.79._______There are several new emerging markets, which represent a promising opportunity for Australia. These new markets are China, India, Philippines, and South America. China, in particular, is Australia’s most promising market because Australia has recently been awarded official tourism destination status by the Chinese government. In only one year, the number of Chinese tourists has already become the sixth largest market for Australia, with the growth of 25 %. Another op-portunity is from backpackers market, which is becoming more important over time. In addition, they tend to stay longer than most average tourists. According to Office of National Tourismaverage backpackers stay 72 nights in the country. In the year ended March 1997, 255,700 inter-national backpackers visited Australia.80._______According to the SWOT analysis, Australia has capability to compete in the international tourism market for the new millennium. It is apparent that there are many strengths and opportunities ahead to make sure that Australia can secure its competitive position. However, it is important to also recognize that there are some inherent weaknesses and possible threats that could have the impact on Australia’s competitiveness. These issues need to be dealt with so that the overall competitiveness of Australia will be enhanced. Furthermore, to be able to compete in the long run, it is important to make sure that there is a balance between tourism development and environmental protection. It is the beautiful natural environment which draws visitors to Australia in the first place.Section DDirections: Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.The poverty line is the minimum income that people need for an acceptable standard of living. People with incomes below the poverty line are considered poor. Economists study the causes of poverty in order to find solutions to the problem.As the general standard of living in the country rises, the poverty line does, too. Therefore, even with today’srelatively high standard of living, about 10 percent of the people in the United States are below the poverty line. However, if these people had stable jobs, they could have an acceptable standard of living. Economists suggest several reasons why poor people do not have jobs.For one thing, more than half of the poor people in the United States are not qualified to work. Over 40 percent of the poor people are children. By law, children less than 16 years old cannot work in many industries. And over 10 percent of the poor people are old. Many companies do not hire people over 65 years old, the normal retirement age.Some poor adults do not look for jobs for a variety of personal reasons: they are sick, they do not have any motivation (动力),they have family problems, or they do not believe that they can find a job.Other poor people look for a job but cannot find one. Many poor adults never went to high school. Therefore, when they look for jobs, they have few skills that they can offer.At the present time, the government thinks it can reduce poverty in the country in the following ways.First, if the national economy grows, businesses and industries hire more workers. Some of the poor who are qualified to look for jobs may find employment. Then they will no longer be below the poverty line.Second, if society invests in the poor, the poor will become more productive. If the government spends money on social programs, education, and training for poor people, the poor will have the skills to offer. Then it is more likely that they can find jobs.Finally, if the government distributes society’s income differently, it raises some poor people above the poverty line. The government collects taxes from the non-poor and gives money to the poor. These payments to the poor are called welfare. In 2010 over 18 million people in the United States received welfare.Some economists are looking for better solutions to the poverty problem. However, at the present time, many people depend on welfare for a minimally acceptable standard of living.(Note: Answer the questions or complete the statements in NO MORE THAN TEN WORDS.)81. What does the poverty line in a country change with?82. Most of the American poor people are not qualified for employment because _______.83. In order for the poor to have the skills to offer, the government must invest in _______.84. How do those below the poverty line enjoy the existing welfare from the government?第Ⅱ卷(共45分)I. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.1、你很有可能在这次考试中取得好成绩。
虹口初三英语二模(含答案)复习过程
虹口2013初三英语二模(含答案)虹口区2013年英语学科中考练习题Part 1 Listening (第一部分听力)2013.4 I. Listening Comprehension (听力理解) (共30分)A. Listen and choose the right picture (根据你听到的内容,选出相应的图片) (6分)A B CD E F G1._________2. _________3. __________4. _________5. _________6._________B. Listen to the dialogue and choose the best answer to the question you hear (根据你听到的对话和问题,选出最恰当的答案) (10分)( ) 7. A) At home. B) In a flower shop. C) In a school. D) In a hospital.( ) 8. A) Have dinner. B) Clean the table. C) Read the notebook. D) Take notes.( ) 9. A) Her father. B) Her mother. C) Her teacher. D) Her sister.( ) 10. A) One. B) Two. C) Three. D) Four.( ) 11. A) At 3:00 p.m.. B) At 6:00 p.m.. C) At 6:30 p.m.. D) At 7:00 p.m..( ) 12. A) By bus. B) By underground. C) By car. D) By taxi.( ) 13. A) They are talking on the phone. B) They are arguing in the room.C) They are waiting at the bus stop. D) They are having an English lesson.( ) 14. A) I t’s just so-so. B) It’s awful.C) It’s not so good. D) It’s delicious.( ) 15. A) Terrible. B) Rude. C) Fair. D) Patient.( ) 16. A) The man hesitated to lend the woman his bike.B) The man didn’t know how to get there.C) The woman can’t go there on foot.D) The woman has broken her leg.C. Listen to the dialogue and tell whether the following statements are true or false (判断下列句子是否符合你听到的内容, 符合的用“T”表示,不符合的用“F”表示) (7分)( )17. The boy is complaining about his sight.( )18. The boy can’t see the clock tower clearly today.( )19. There is some kind of fog in the air when it is windy.( )20. There is a sandstorm and it stops people from seeing things clearly.( )21. People in Beijing are warned not to go out.( )22. Only two reasons lead to sandstorms in Beijing.( )23. We can prevent the bad weather by protecting the forests.D. Listen to th e passage and complete the following sentences (听短文,完成下列内容,每空格限填一词): (共7分)24. People turned to their ________ for some advice when they had problems in the past.25. Today advice from ________ shows, TV programs and telephone hot lines is available to us.26. A telephone hot line is the _________ way of getting advice.27. Advisers at some hot lines are ________ and people usually pay nothing for calls and advice.28. Some advisers take a ________ class before working on the hot line.29. About ________ percent of the advisers are professionals(专业人士) with years of education andexperience.30. All the advisers listen to people and help them __________their problems.Part 2 Vocabulary and Grammar(第二部分词汇和语法)Ⅱ. Choose the best answer (选择最恰当的答案) (共20分)( )31 Your manager is absent. Who will take _______ place of him?A) a B) an C) the D) /( )32. Mr. Wang met an old schoolmate of _______ on his way to the airport.A) he B) his C) him D) himself( )33. The magic show lasted for three hours, but ______ people left early.A) few B) a few C) little D) a little( )34. After reading the story, we came to know nobody can be successful ______ any efforts.A) for B) in C) on D) without( )35. When we face(面对) any danger, we should keep __________.A) calm B) careful C) quiet D) frightened( )36. The place is too expensive to hold our party. We should find a __________ one.A) cheap B) cheaper C) cheapest D) the cheapest( )37. We can’t do listening exercise, _______ the teacher’s recorder doesn’t work.A) for B) but C) or D) and( )38. Teenagers will learn more knowledge from real life ______ they have more chances to experience it.A) although B) if C) before D) unless( )39. _______ you wait a few more minutes? The doctor’s coming soon.A) Should B) Must C) Need D) Could( )40. The company decided to spend about five ________ yuan building a school for the children in western China.A) millions B) millions of C) million of D) million( )41. Jane plays the piano best in our class, so I never forget _____ the music she played for the first time.A) to hear B) heard C) hearing D) hear( )42. The young ought to be allowed __________ their dream by themselves.A) achieve B) to achieve C) achieving D) achieved( )43. —Could you tell me ________ you did it so well?—With my parent s’ help.A) who B) how C) when D) what( )44. The Bund as well as Shanghai Oriental Pearl TV Tower __________ thousands of foreign tourists every monthA) attracts B) attract C) will attract D) are attracting ( )45. —I phoned you this morning, but you weren’t in. Where were you at that time?— I ___________ my foreign friends around Yu Garden.A) showed B) am showing C) was showing D) would show( )46. I felt very nervous on the plane because I ________ before.A) hadn’t flown B) haven’t flown C) didn’t fly D) wouldn’t fly( )47. Eric’s mother has never seen a 3D film at the cinema, _________?A) hasn’t she B) has she C) isn’t she D) is she( )48. To his parents’ joy, Jack ________ a job as a manger in a bank yesterday.A) is offered B) was offered C) offered D) would offer( )49. -I will have a writing contest this weekend. I hope I will win.-______A) All right. B) I’m glad to hear that.C) Good luck. D) What a shame!( )50. - Would you please help me with my singing skills?- ______. You can come to my home on weekends.A) I hope so. B) Good idea. C) I’m afraid I can’t. D) No problem.Ⅲ. Complete the following passage with the words or phrases in the box. Each can only be used once(将下列单词或词组填入空格。
2013年上海市虹口区初中数学二模卷试题及标准答案(2013年4月左右的模拟试题)
虹口区2013年数学学科中考练习题(满分150分,考试时间100分钟)2013.4一、选择题:(本大题共6题,每题4分,满分24分)1. 在下列各数中,属于无理数的是( )A . 53; B . π; C . 4; D .327.2. 在下列一元二次方程中,没有实数根的是( )A . 20x x -=;B . 210x -=; C . 2230x x --=; D . 2230x x -+=. 3. 在平面直角坐标系xoy 中,直线2y x =-+经过( )A .第一、二、三象限 ;B .第一、二、四象限;C .第一、三、四象限 ;D .第二、三、四象限. 4. 某小区20户家庭某月的用电量如下表所示:用电量(度) 120 140 160 180 200 户数2 3 6 7 2则这20户家庭该月用电量的众数和中位数分别是( ) A .180,160;B .160,180;C .160,160;D .180,180.5.已知两圆内切,圆心距为5,其中一个圆的半径长为8 ,那么另一个圆的半径长是( ) A .3; B .13; C .3或13; D .以上都不对. 6. 在下列命题中,属于假命题...的是( ) A .对角线相等的梯形是等腰梯形; B .两腰相等的梯形是等腰梯形;C .底角相等的梯形是等腰梯形;D .等腰三角形被平行于底边的直线截成两部分,所截得的四边形是等腰梯形. 二、填空题:(本大题共12题,每题4分,满分48分) 7.计算:22-= .8.不等式组240,50.x x +>⎧⎨-<⎩的解集是 .9.用换元法解分式方程13201x x x x +-+=+时,如果设1x y x +=,那么原方程化为关于y 的整式方程可以是 . 10.方程23x x +=的解是 . 11. 对于双曲线1k y x-=,若在每个象限内,y 随x 的增大而增大,则k 的取值范围是 .12.将抛物线23y x =向左平移2个单位,所得抛物线的表达式为 .13. 在一个不透明的盒子中装有8个白球和若干个黄球,它们除颜色不同外,其余均相同.若从中随机摸出1个球,它恰好是白球的概率是23,则该盒中黄球的个数为 . 14.为了解某校九年级学生体能情况,随机抽查了其中的25名学生,测试了1分钟仰卧起坐的次数,并绘制成频数分布直方图(如图所示),那么仰卧起坐的次数在20~25的频率是 .15.若正六边形的边长是1,则它的半径是 .16.在□ABCD 中,已知AC a = ,DB b = ,则用向量a 、b 表示向量AB为 . 17.将△ABC 绕点A 按逆时针方向旋转θ度,并使各边长变为原来的n 倍得△AB′ C′ ,即如图①,∠BAB′ =θ,AB B C AC n AB BC AC ''''===,我们将这种变换记为[θ,n ] .如图②,在△DEF 中,∠DFE =90°,将△DEF 绕点D 旋转,作变换[60°,n ]得△DE ′F ′,如果点E 、F 、F ′恰好在同一直线上,那么n = .18.如图,在直角梯形纸片ABCD 中,AD ∥BC ,∠A =90°, ∠C =30°,点F 是CD 边上一点,将纸片沿BF 折叠,点C 落在E 点,使直线BE 经过点D ,若BF=CF=8,则AD 的 长为 .三、解答题(本大题共7题,满分78分)19.(本题满分10分)先化简,再求值:22244(4)2x x x x x-+÷-+,其中5x =.20.(本题满分10分)解方程组: 2223,2 1.x y x x y y +=⎧⎨-+=⎩①② AB CD 第18题图 3第14题图512人数/人次数/次(每组含最小值,不含最大值)15 20 25 30 35 ABC B′第17题图C ′DE E ′F ′F图① 图②21.(本题满分10分)如图,在△ABC 中,AB=AC=10,3sin 5ABC ∠=,圆O 经过点B 、C ,圆心O 在△ABC 的内部,且到点A 的距离为2,求圆O 的半径.22.(本题满分10分,第(1)小题4分,第(2)小题6分)某超市进了一批成本为6元/个的文具.调查后发现:这种文具每周的销售量y (个)与销售价x (元/个)之间的关系满足一次函数关系,如下表所示:销售价x (元/个) 89.51114销售量y (个)220 205 190 160 (1)求y 与x 之间的函数解析式(不必写出定义域);(2)已知该超市这种文具每周的销售量不少于60个,若该超市某周销售这种文具(不考虑其它因素)的利润为800元,求该周每个文具的销售价.23.(本题满分12分,第(1)小题5分,第(2)小题7分)已知:如图,在正方形ABCD 中,点E 、F 分别在边BC 和CD 上,∠BAE =∠DAF . (1)求证:BE = DF ;(2)联结AC 交EF 于点O ,延长OC 至点M ,使OM = OA ,联结EM 、FM .求证:四边形AEMF 是菱形.A B C O 第21题图 A DB E FO CM 第23题图24.(本题满分12分,第(1)小题4分,第(2)小题4分,第(3)小题4分)已知:直线24y x =-+交x 轴于点A ,交y 轴于点B ,点C 为x 轴上一点,AC =1, 且OC <OA .抛物线2 (0)y ax bx c a =++≠经过点A 、B 、C . (1)求该抛物线的表达式;(2)点D 的坐标为(-3,0),点P 为线段AB 上一点,当锐角∠PDO 的正切值为12时,求点P 的坐标;(3)在(2)的条件下,该抛物线上的一点E 在x 轴下方,当△ADE 的面积等于四边形APCE 的面积时,求点E 的坐标.25.(本题满分14分,第(1)小题4分,第(2)小题5分,第(3)小题5分)在Rt △ABC 中,∠A =90°,AB=6,AC=8,点D 为边BC 的中点,DE ⊥BC 交边AC 于点E ,点P 为射线AB 上一动点,点Q 为边AC 上一动点,且∠PDQ =90°.(1)求ED 、EC 的长;(2)若BP=2,求CQ 的长;(3)记线段PQ 与线段DE 的交点为点F ,若△PDF 为等腰三角形,求BP 的长.ABEC DABCED第25题图(备用图)-1 O 1 2 -1 12-3 -2 yx第24题图-3 3-2 3 4 -4 -4 42013年虹口区中考数学模拟练习卷答案要点与评分标准2013.4一、选择题:(本大题共6题,满分24分)1.B ; 2.D ; 3.B ; 4.A ; 5.C ; 6.C .二、填空题:(本大题共12题,满分48分)7.14; 8. 25x -<<; 9.2230y y +-=; 10.3x =; 11.k <1; 12.23(2)y x =+; 13.4; 14.0.2;15.1; 16.1122a b +; 17.2; 18.23.三、解答题:(本大题共7题,满分78分)19.解:原式=2(2)(2)44(2)x x x x x x x +--+÷+………………………………………………(3分)2(2)(2)(2)(2)x x xx x x +-=⋅+- …………………………………………………(2分) 12x =- ………………………………………………………………………(2分) 当5x =时,原式=52+…………………………………………………(3分)20.解:由②得:2()1x y -=,∴ 1x y -=或1x y -=- ……………………………………………………(2分) 把上式同①联立方程组得: 231x y x y +=⎧⎨-=⎩,23,1x y x y +=⎧⎨-=-⎩ …………………………………………………(4分) 解得:114313x y ⎧=⎪⎪⎨⎪=⎪⎩,222353x y ⎧=⎪⎪⎨⎪=⎪⎩∴原方程组的解为114313x y ⎧=⎪⎪⎨⎪=⎪⎩222353x y ⎧=⎪⎪⎨⎪=⎪⎩.……………………………………………(4分) 注:用代入消元法解,请参照给分.21.解:过点A 作AD ⊥BC ,垂足为点D …………………………………………………(1分)∵3sin 5ABC ∠=∴4cos 5ABC ∠=………………………………………………(1分) 在Rt △ABD 中,4cos 1085BD AB ABC =⋅∠=⨯=………………………………(1分)3sin 1065AD AB ABC =⋅∠=⨯=…………………………………(1分) ∵AB=AC=10 AD ⊥BC ∴BC=2BD=16…………………………………………(1分) ∵AD 垂直平分BC ∴圆心O 在直线AD 上………………………………………(2分) ∴OD=6-2=4 ……………………………………………………………………………(1分) 联结BO ,在Rt △OBD 中,2245BO OD BD =+=…………………………(2分) ∴圆O 的半径为45.22.解:(1)设所求函数解析式为y =kx +b (0k ≠)…………………………………(1分)由题意得:220819011k bk b=+⎧⎨=+⎩解之得:10300k b =-⎧⎨=⎩………………………(2分)∴y 与x 之间的函数解析式为y =-10x +300. ………………………………(1分)(2)由题意得(x -6)(-10x +300)=800 ……………………………………………(2分)整理得,x 2-36x +260=01210,26x x ==…………………………………………………………………(2分) 当x =10时,y =200 当x =26时,y =40<60 ∴x =26舍去 ……………………………………………(1分)答:该周每个文具销售价为10元. ………………………………………………(1分)23.证明:(1)∵正方形ABCD ,∴AB=AD ,∠B =∠D =90°…………………………(2分)∵∠BAE = ∠DAF∴△ABE ≌△ADF ……………………………………………………………(1分) ∴BE = DF ……………………………………………………………………(2分) (2)∵正方形ABCD ,∴∠BAC =∠DAC ………………………………………(1分) ∵∠BAE =∠DAF ∴∠EAO =∠FAO ……………………………………(1分)∵△ABE ≌△ADF ∴AE = AF …………………………………………(1分) ∴EO=FO ,AO ⊥EF …………………………………………………………(2分) ∵OM = OA ∴ 四边形AEMF 是平行四边形……………………………(1分) ∵AO ⊥EF ∴四边形AEMF 是菱形……………………………………(1分)24.解:(1)易得:A (2,0),B (0,4)∵AC =1且OC <OA ∴点C 在线段OA 上 ∴C (1,0) …………………………………………………………………(1分)∵A (2,0),B (0,4),C (1,0)在抛物线2(0)y ax bx c a =++≠上,∴42040a b c c a b c ++=⎧⎪=⎨⎪++=⎩解得: 264a b c =⎧⎪=-⎨⎪=⎩∴所求抛物线的表达式为2264y x x =-+………………………………(3分)(2)∵锐角∠PDO 的正切值为12, 1tan 2ABO ∠= (ABO ∠为锐角)∴ABO PDA ∠=∠,∵点P 为线段AB 上一点,∴BAO DAP ∠=∠∴△ABO ∽△ADP ……………………………………………………………(1分) ∴AP ADAO AB=, 又AO =2 , AB =25 ,AD =5 ∴5AP =……………………………………………………………………(1分)过点P 作PF AO ⊥于点F ,可证PF ∥BO ,∴AP PFAB BO=可得:P F=2,即点P 的纵坐标是2.∴可得P (1,2)………………………………………………………………(2分)(3)设点E 的纵坐标为m (m <0), ∴1522ADE S AD m m =⋅=-△ ∵P (1,2),∴11()(2)22p APCE S AC y m m =⋅+=-四由ADE APCE S S =△四得:15(2)22m m -=- ……………………………………(2分)解得:12m =-∴点E 31(,)22-…………………………………………………………………(2分)25.解:(1)在Rt △ABC 中,∠A =90°,AB=6,AC=8 ∴BC=10……………………(1分)点D 为BC 的中点 ∴CD =5 可证△ABC ∽△DEC∴DE EC CD AB BC AC ==, 即56108DE EC ==………………………………(1分)∴154DE =,254CE =……………………………………………………(2分)(2)①当点P 在AB 边上时,在Rt △ABC 中,∠B +∠C =90°,在Rt △EDC 中,∠DEC +∠C =90°, ∴∠DEC=∠B ∵DE ⊥BC ,∠PDQ =90° ∴∠PDQ =∠BDE =90° ∴∠BDP =∠EDQ∴△BPD ∽△EQD ……………………………………………………………(1分)∴EQ DE BP BD =, 即15425EQ =, ∴32EQ = ………………………………………………………………………(2分)∴CQ=EC -EQ 194=……………………………………………………………(1分)②当点P 在AB 的延长线上时,同理可得:32EQ =,∴CQ=EC +EQ 314= …………………………………………………………(1分)(3)∵线段PQ与线段DE的交点为点F,∴点P在边AB上∵△BPD∽△EQD ∴43 BP BD PD EQ ED QD===若设BP=x ,则34E Q x=,25344CQ x=-…………………………………(1分)可得4cot cot3QPD C∠==∴∠QPD=∠C又可证∠PDE=∠CDQ ∴△PDF∽△CDQ∵△PDF为等腰三角形∴△CDQ为等腰三角形………………………(1分)①当CQ=CD时,可得:253544x-=解得:53x=………………………(1分)②当QC=QD时,过点Q作QM⊥CB于M,∴1522CM CD==,5525248CQ=⨯=∴25325448x-=,解得256x=……………………………………………(1分)③当DC=DQ时,过点D作DN⊥CQ于N,∴4545CN=⨯=,28CQ CN==∴253844x-=,解得73x=-(不合题意,舍去)…………………………(1分)∴综上所述,53BP=或256.。
2013年上海市虹口区初中化学二模卷试题及答案(2013年4月左右的模拟试题)
虹口区2013年理化学科中考练习题六、选择题(共20分)27.生活中的下列金属,最不活泼的是 A .Ag B .Fe C .Al D .Zn 28.甲烷(CH 4)是天然气的主要成分,甲烷属于 A .单质 B .氧化物 C .有机物 D .混合物 29.将家庭中常用的四种调味品分别放入水中,不能形成溶液的是 A .醋 B .蔗糖 C .花生油 D .食盐 30.化学与生活密切相关,生活中常见的现象属于化学变化的是 A .蜡烛燃烧 B .冰雪融化 C .香水挥发 D .干冰升华 31.“2H”表示的意义是A .2个氢元素B .2个氢原子C .氢分子D .2个氢分子 32.生活中一些物质的pH 如下表所示,其中显酸性的是A B C D 物质 番茄汁 糖水 牙膏 肥皂水 pH4791033.三氧化二铋(Bi 2O 3)俗称铋黄,是制作防火纸的材料之一。
Bi 2O 3中Bi 元素的化合价是 A .+6 B .+3 C .+2 D .-3 34.飞船常利用反应2Na 2O 2+2CO 2 →2X+O 2来提供氧气,“X”的化学式是A .COB .Na 2OC .NaOHD .Na 2CO 335.反应3CO+Fe 2O 3 −−→−高温2Fe+3CO 2中的还原剂是 A .CO B .Fe 2O 3 C .Fe D .CO 236.用不同的球代表不同元素的原子。
表示单质的是A .B .C .D .37.关于金刚石、石墨的说法正确的是:A .它们是同一种物质B .它们碳原子的排列方式不同C .它们的化学性质不同D .它们的物理性质相同 38.化学反应2Al+6HCl→2AlCl 3+3H 2↑,属于A .化合反应B .分解反应C .置换反应D .复分解反应 39.下列化学方程式书写正确的是A .4Fe+ 3O 2−−→−点燃2Fe 2O 3 B .CaCO 3−−→−高温CaO + CO 2↑ C .Zn +HCl→ZnCl 2+H 2↑ D .H 2SO 4 + NaOH→NaSO 4+ H 2O40.正确的实验操作对实验结果、人身安全非常重要。
2013年上海市虹口区高考数学二模试卷(理科)含详解
2013年上海市虹口区高考数学二模试卷(理科)一、填空题(每小题4分,满分56分)1.(4分)函数f(x)=(2k﹣1)x+1在R上单调递减,则k的取值范围是.2.(4分)已知复数,则|z|=.3.(4分)已知,则cos2(α+β)=.4.(4分)设(1+2x)n展开式中二项式系数之和为a n,各项系数之和为b n,则=.5.(4分)已知双曲线与椭圆有相同的焦点,且渐近线方程为,则此双曲线方程为.6.(4分)如果log a4b=﹣1,则a+b的最小值为.7.(4分)数列{a n}的通项,前n项和为S n,则S13=.8.(4分)设F1、F2是椭圆的两个焦点,点P在椭圆上,且满足,则△F1PF2的面积等于.9.(4分)从集合的所有非空子集中,等可能地取出一个,记取出的非空子集中元素个数为ξ,则ξ的数学期望Eξ=.10.(4分)对于x∈R,不等式|2﹣x|+|1+x|≥a2﹣2a恒成立,则实数a的取值范围是.11.(4分)在△ABC中,AB=1,AC=2,,则△ABC面积等于.12.(4分)将边长为2的正方形沿对角线AC折起,以A,B,C,D为顶点的三棱锥的体积最大值等于.13.(4分)设a n=log n+1(n+2)(n∈N*),称a1a2a3…a k为整数的k为“希望数”,则在内所有“希望数”的个数为.14.(4分)已知函数的定义域是使得解析式有意义的x的集合,如果对于定义域内的任意实数x,函数值均为正,则实数a的取值范围是.二、选择题(每小题5分,满分20分)15.(5分)直线的倾斜角等于()A.B.C.D.arctan2 16.(5分)已知函数与直线相交,若在y轴右侧的交点自左向右依次记为M1,M2,M3,…,则等于()A.6πB.7πC.12πD.13π17.(5分)若,0≤β≤π,m∈R,如果有α3+sinα+m=0,,则cos(α+β)值为()A.﹣1B.0C.D.118.(5分)正方体ABCD﹣A1B1C1D1的棱上到异面直线AB,CC1的距离相等的点的个数为()A.2B.3C.4D.5三、解答题(满分74分)19.(12分)如图,P A⊥平面ABCD,矩形ABCD的边长AB=1,BC=2,E为BC 的中点.(1)证明:PE⊥DE;(2)如果P A=2,求异面直线AE与PD所成的角的大小.20.(14分)在△ABC中,角A,B,C所对的边长分别为a,b,c,向量=(2sin B,2cos B),=(cos B,﹣cos B),且.(1)求角B;(2)若b=2,求△ABC的面积的最大值.21.(14分)已知复数z n=a n+b n•i,其中a n∈R,b n∈R,n∈N*,i是虚数单位,且z n+1=2z n++2i,z1=1+i.(1)求数列{a n},{b n}的通项公式;(2)求和:①a1a2+a2a3+…+a n a n+1;②b1b2﹣b2b3+b3b4﹣b4b5+…+(﹣1)n+1b n b n+1.22.(16分)已知抛物线C:y2=2px(p>0),直线l交此抛物线于不同的两个点、.(1)当直线l过点时,证明y1•y2为定值;(2)当y1y2=﹣p时,直线l是否过定点?若过定点,求出定点坐标;若不过定点,请说明理由;(3)如果直线l过点,过点M再作一条与直线l垂直的直线l'交抛物线C于两个不同点D、E.设线段AB的中点为P,线段DE的中点为Q,记线段PQ的中点为N.问是否存在一条直线和一个定点,使得点N到它们的距离相等?若存在,求出这条直线和这个定点;若不存在,请说明理由.23.(18分)定义域为D的函数f(x),如果对于区间I内(I⊆D)的任意两个数x1、x2都有成立,则称此函数在区间I上是“凸函数”.(1)判断函数f(x)=lgx在R+上是否是“凸函数”,并证明你的结论;(2)如果函数在上是“凸函数”,求实数a的取值范围;(3)对于区间上的“凸函数”f(x),在上任取x1,x2,x3,…,x n.①证明:当n=2k(k∈N*)时,成立;②请再选一个与①不同的且大于1的整数n,证明:也成立.2013年上海市虹口区高考数学二模试卷(理科)参考答案与试题解析一、填空题(每小题4分,满分56分)1.(4分)函数f(x)=(2k﹣1)x+1在R上单调递减,则k的取值范围是.【考点】3E:函数单调性的性质与判断.【专题】51:函数的性质及应用.【分析】根据一次函数的单调性可得2k﹣1<0,解出即可.【解答】解:因为f(x)=(2k﹣1)x+1在R上单调递减,所以2k﹣1<0,解得k<,所以k的取值范围为(﹣∞,),故答案为:(﹣∞,).【点评】本题考查一次函数的单调性,属基础题,熟练掌握一次函数的图象及其性质是解决问题的基础.2.(4分)已知复数,则|z|=2.【考点】A5:复数的运算;A8:复数的模.【专题】11:计算题.【分析】把给出的复数分子分母同时乘以(1﹣i),分子采用两次平方运算,化简后直接取绝对值.【解答】解:==﹣2,所以|z|=2.故答案为2.【点评】本题考查了复数代数形式的乘除运算,考查了复数的模,如果复数是实数,则是其绝对值,是基础题.3.(4分)已知,则cos2(α+β)=.【考点】GP:两角和与差的三角函数;OM:二阶行列式的定义.【专题】11:计算题;56:三角函数的求值.【分析】通过二阶行列式的定义,求出cos(α+β),利用二倍角的余弦函数,求出结果即可.【解答】解:因为,所以cosαcosβ﹣sinαsinβ=,即cos(α+β)=.∴cos2(α+β)=2cos2(α+β)﹣1=2×()2﹣1=.故答案为:.【点评】本题考查二阶行列式的定义、三角函数的和角公式,二倍角公式的应用,考查计算能力.4.(4分)设(1+2x)n展开式中二项式系数之和为a n,各项系数之和为b n,则=﹣1.【考点】8J:数列的极限;DA:二项式定理.【专题】54:等差数列与等比数列.【分析】则由题意可得2n=a n,b n=3n,==,再利用数列极限的运算法则求得结果.【解答】解:∵(1+2x)n展开式中二项式系数之和为a n,各项系数之和为b n,则2n=a n,b n=3n,∴====﹣1,故答案为﹣1.【点评】本题主要考查二项式系数系数和、二项式的系数和的区别,求数列的极限,数列极限的运算法则,属于中档题.5.(4分)已知双曲线与椭圆有相同的焦点,且渐近线方程为,则此双曲线方程为.【考点】K4:椭圆的性质;KC:双曲线的性质.【专题】5D:圆锥曲线的定义、性质与方程.【分析】由题意可设要求的双曲线为,c为半焦距.于是,解出即可.【解答】解:设要求的双曲线为,c为半焦距.由题意得,解得.∴此双曲线的方程为.故答案为.【点评】熟练掌握圆锥曲线的标准方程及其性质是解题的关键.6.(4分)如果log a4b=﹣1,则a+b的最小值为1.【考点】4H:对数的运算性质;7F:基本不等式及其应用.【专题】11:计算题.【分析】由给出的对数等式得到a,b均为正数,且ab=,然后直接利用基本不等式求最值.【解答】解:由log a4b=﹣1,得:a>0,b>0,,即ab=.所以a+b.当且仅当a=b=时上式取“=”.所以a+b的最小值为1.故答案为1.【点评】本题考查了对数的运算性质,考查了利用基本不等式求最值的方法,利用基本不等式求最值,要注意“一正、二定、三相等”,此题是基础题.7.(4分)数列{a n}的通项,前n项和为S n,则S13=7.【考点】8E:数列的求和.【专题】11:计算题;54:等差数列与等比数列.【分析】易求数列{a n}的周期为4,然后对数列前13项每4项结合,即可求得S13.【解答】解:由,知数列{a n}的周期为4,S13=a1+a2+a3+a4+…+a13=1+++…+=(1+0﹣3+0)+(5+0﹣7+0)+…+(9+0﹣11+0)+13=﹣2×3+13=7,故答案为:7.【点评】本题考查数列求和问题,解决本题的关键是通过观察发现周期及各项的变化规律,属中档题.8.(4分)设F1、F2是椭圆的两个焦点,点P在椭圆上,且满足,则△F1PF2的面积等于1.【考点】K4:椭圆的性质.【专题】5D:圆锥曲线的定义、性质与方程.【分析】利用椭圆的定义可得|PF1|+|PF2|=4,又|F1F2|=2 ,∠F1PF2=,利用余弦定理可求得|PF1|•|PF2|,从而可求得△F1PF2的面积.【解答】解:∵P是椭圆上的一点,F1、F2是椭圆的两个焦点,∠F1PF2=,∴|PF1|+|PF2|=4,|F1F2|=2 ,在△F1PF2中,由勾股定理得:|F1F2|2=|PF1|2+|PF2|2=(|PF1|+|PF2|)2﹣2|PF1|•|PF2|=16﹣2|PF1|•|PF2|=16﹣2|PF1|•|PF2|=12,∴|PF1|•|PF2|=2,∴S△F1PF2=|PF1|•|PF2|=1故答案为:1【点评】本题考查椭圆的简单性质与标准方程,考查勾股定理与三角形的面积,属于中档题.9.(4分)从集合的所有非空子集中,等可能地取出一个,记取出的非空子集中元素个数为ξ,则ξ的数学期望Eξ=.【考点】CH:离散型随机变量的期望与方差.【专题】11:计算题;5I:概率与统计.【分析】所取出的非空子集的元素个数为ξ,由题意知ξ的可能取值是1、2、3,利用古典概型算出ξ取各值时的概率,写出分布列,即可求得期望.【解答】解:由题意知ξ的可能取值是1、2、3,ξ的分布列是:P(ξ=1)==,P(ξ=2)==,P(ξ=3)==,∴Eξ=1×+=.故答案为:.【点评】本题这种类型是近几年高考题中经常出现的,考查离散型随机变量的分布列和期望,大型考试中理科考试必出的一道问题.本题还考到了集合的子集个数问题,一个含有n个元素的集合的子集个数是2n.10.(4分)对于x∈R,不等式|2﹣x|+|1+x|≥a2﹣2a恒成立,则实数a的取值范围是[﹣1,3].【考点】R5:绝对值不等式的解法.【专题】59:不等式的解法及应用.【分析】由题意可得|2﹣x|+|1+x|的最小值大于或等于a2﹣2a,而由绝对值的意义可得|2﹣x|+|1+x|的最小值为3,可得3≥a2﹣2a,由此求得实数a的取值范围.【解答】解:∵对于x∈R,不等式|2﹣x|+|1+x|≥a2﹣2a恒成立,∴|2﹣x|+|1+x|的最小值大于或等于a2﹣2a.由于|2﹣x|+|1+x|表示数轴上的x对应点到2和﹣1对应点的距离之和,它的最小值为3,故有3≥a2﹣2a,即a2﹣2a﹣3≤0,解得﹣1≤a≤3,故实数a的取值范围是[﹣1,3],故答案为:[﹣1,3].【点评】本题主要考查绝对值的意义,绝对值不等式、分式不等式的解法,体现了转化的数学思想,属于中档题.11.(4分)在△ABC中,AB=1,AC=2,,则△ABC面积等于.【考点】9O:平面向量数量积的性质及其运算;HR:余弦定理.【专题】58:解三角形.【分析】利用数量积运算性质可得cos A,再利用平方关系即可得出sin A,利用=即可得出.三角形的面积公式S△ABC【解答】解:∵在△ABC中,AB=1,AC=2,,∴,∴12+2×1×cos A=2,解得.∵0<A<π,∴sin A==.===.∴S△ABC故答案为.【点评】熟练掌握数量积运算性质、平方关系、三角形的面积公式S △ABC =是解题的关键.12.(4分)将边长为2的正方形沿对角线AC 折起,以A ,B ,C ,D 为顶点的三棱锥的体积最大值等于.【考点】LF :棱柱、棱锥、棱台的体积.【专题】11:计算题;5F :空间位置关系与距离.【分析】如图所示,设正方形ABCD 的对角线AC 、BD 交于点O ,点D 折叠后的位置为D ',连接BD '、OD '.利用线面垂直的判定,证出AC ⊥平面B 'DO ,从而得到三棱锥的体积为V D '﹣ABC =V A ﹣BOD '+V C ﹣BOD '=S △BOD '×AC .因为AC =2是定值,所以当S △BOD '达到最大值时所求的体积最大.最后根据正弦定理面积公式和正弦函数的最值,可得所求三棱锥的体积最大值等于.【解答】解:如图所示,设正方形ABCD 的对角线AC 、BD 交于点O , 点D 折叠后的位置为D ',连接BD ',OD ' ∵AC ⊥BO ,AC ⊥BO ',BO ∩D 'O =0 ∴AC ⊥平面B 'DO 因此,三棱锥的体积为 V D '﹣ABC =V A ﹣BOD '+V C ﹣BOD '=S △BOD '×AO +S △BOD '×CO =S △BOD '×AC ∵正方形的边长为2,可得AC =2∴当S △BOD '最大时,V D '﹣ABC 达到最大值. ∵S △BOD '=×=sin ∠BOD ′∴当∠BOD '=90°时,S △BOD '的最大值为1,从而得到V D '﹣ABC 的最大值为AC = 故答案为:【点评】本题给出正方形的翻折问题,求折叠后形成的三棱锥的体积最大值,着重考查了线面垂直的判定与性质、正方形的性质和面积正弦定理公式等知识,属于基础题.13.(4分)设a n=log n+1(n+2)(n∈N*),称a1a2a3…a k为整数的k为“希望数”,则在内所有“希望数”的个数为9.【考点】4H:对数的运算性质.【专题】23:新定义.【分析】先利用换底公式与叠乘法把a1•a2•a3…a k化为log2(k+2),再根据a1•a2•a3…a k为整数,可得k=2n﹣2,进而由2n﹣2<2013可得结论.【解答】解:∵a n=log n+1(n+2)=∴a1•a2•a3…a k==log2(k+2),又∵a1•a2•a3…a k为整数∴k+2必须是2的n次幂(n∈N*),即k=2n﹣2.由2n﹣2<2013,得2n<2015.解得n<11,又n∈N*,∴n=10.∴k∈(1,2013)内所有的“希望数”的个数是9.故答案为:9.【点评】本题考查新定义,考查了对数的换底公式,考查了叠乘法,训练了学生的运算能力,是中档题.14.(4分)已知函数的定义域是使得解析式有意义的x 的集合,如果对于定义域内的任意实数x,函数值均为正,则实数a的取值范围是﹣7<a≤0或a=2.【考点】33:函数的定义域及其求法;34:函数的值域.【专题】51:函数的性质及应用.【分析】题目给出的函数是分式函数,且分子分母均为二次三项式,对应的函数均开口向上,所以分分子分母对应的方程同解和不同解讨论,同解时利用系数相等求a的值,不同解时,若a≠0,则需分子分母对应的方程均无解,a=0时,在定义域内函数值恒大于0.【解答】解:给出的函数分子分母都是二次三项式,对应的图象都是开口向上的抛物线,若分子分母对应的方程是同解方程,则,解得a=2.此时函数的值为f(x)=>0.若分子分母对应的方程不是同解方程,要保证对于定义域内的任意实数x,函数值均为正,则需要分子分母的判别式均小于0,即,解①得﹣7<a<1.解②得﹣16<a<0.所以a的范围是﹣7<a<0.当a=0时,函数化为f(x)=,函数定义域为{x|x≠0},分母恒大于0,分子的判别式小于0,分子恒大于0,函数值恒正.综上,对于定义域内的任意实数x,函数值均为正,则实数a的取值范围是﹣7<a≤0或a=2.【点评】本题考查了利用函数的值的范围求解参数问题,考查了分类讨论得数学思想,解答此题的关键是分析出函数值恒正时的分子分母的取值情况,此题属中档题,容易漏掉a=0,也是易错题.二、选择题(每小题5分,满分20分)15.(5分)直线的倾斜角等于()A.B.C.D.arctan2【考点】I3:直线的斜率;QH:参数方程化成普通方程.【专题】5B:直线与圆.【分析】把参数方程化为普通方程,求出直线的斜率,据倾斜角和斜率的关系求出倾斜角的大小.【解答】解:直线的参数方程为(t是参数),消去参数得y﹣1=(x ﹣1)∴斜率为,设直线的倾斜角为α,tanα=,又0≤α<π,∴α=arctan ,故选:C.【点评】本题考查把参数方程化为普通方程的方法,直线的斜率和倾斜角的关系,斜率和倾斜角的求法.考查计算能力.16.(5分)已知函数与直线相交,若在y轴右侧的交点自左向右依次记为M1,M2,M3,…,则等于()A.6πB.7πC.12πD.13π【考点】53:函数的零点与方程根的关系;IR:两点间的距离公式.【专题】11:计算题;16:压轴题;51:函数的性质及应用.【分析】利用三角函数的诱导公式与二倍角的正弦可知,y=sin2x,依题意可求得M1,M2,M3,…M13的坐标,从而可求的值.【解答】解:∵y=2sin(x+)cos(x﹣)=2cos x sin x=sin2x,∴由题意得:sin2x=,∴2x=2kπ+或2x=2kπ+,∴x=kπ+或x=kπ+,k∈Z,∵正弦曲线y=sin2x与直线y=在y轴右侧的交点自左向右依次记为M1,M2,M3,…,∴得M1(,),M2(,),M3(π+,),M4(π+,),…M13(6π+,),∴=(6π,),∴=6π.故选:A.【点评】本题考查函数的零点与方程根的关系,着重考查正弦函数的性质,求得M1,M13的坐标是关键,属于中档题.17.(5分)若,0≤β≤π,m∈R,如果有α3+sinα+m=0,,则cos(α+β)值为()A.﹣1B.0C.D.1【考点】51:函数的零点;GG:同角三角函数间的基本关系;GP:两角和与差的三角函数.【专题】57:三角函数的图像与性质.【分析】考查函数f(x)=x3+sin x是奇函数,利用导数求得函数f(x)在[﹣,]上是增函数.令γ=,由条件可得f(α)=﹣m,f(γ)=﹣m,故α=γ=﹣β,即α+β=,由此求得cos(α+β)的值.【解答】解:考查函数f(x)=x3+sin x,显然f(x)满足f(﹣x)=﹣f(x),故f (x)是奇函数.∵f′(x)=2x2+cos x,∴若,则f′(x)=2x2+cos x≥0,故函数f(x)在[﹣,]上是增函数.∵α3+sinα+m=0,,令γ=,则有γ∈[﹣,],γ3+sinγ+m=0.∴f(α)=﹣m,f(γ)=﹣m,故有f(α)=f(γ).根据函数f(x)在[﹣,]上是增函数,可得α=γ=﹣β,即α+β=,故cos(α+β)=0,故选:B.【点评】本题主要考查利用函数的导数研究函数的单调性,函数的奇偶性的应用,求函数的值,属于中档题.18.(5分)正方体ABCD﹣A1B1C1D1的棱上到异面直线AB,CC1的距离相等的点的个数为()A.2B.3C.4D.5【考点】L6:简单组合体的结构特征;MK:点、线、面间的距离计算.【专题】11:计算题;16:压轴题;4A:数学模型法.【分析】画出正方体,结合正方体中线面、线线垂直,先找定点、再找棱的中点,找出符合条件的所有的点.【解答】解:如图:正方体ABCD﹣A1B1C1D1,E、F分别是BC和A1D1的中点,连接AF和FC1,根据正方体的性质知,BB1⊥AB,C1C⊥B1C1,故B1到异面直线AB,CC1的距离相等,同理可得,D到异面直线AB,CC1的距离相等,又有AB⊥BC,C1C⊥BC,故E到异面直线AB,CC1的距离相等,F为A1D1的中点,易计算F A=FC1,故F到异面直线AB,CC1的距离相等,共有4个点.故选:C.【点评】本题考查了正方体体的结构特征,考查了线面、线线垂直定理的应用,利用异面直线之间距离的定义进行判断,考查了观察能力和空间想象能力.三、解答题(满分74分)19.(12分)如图,P A⊥平面ABCD,矩形ABCD的边长AB=1,BC=2,E为BC 的中点.(1)证明:PE⊥DE;(2)如果P A=2,求异面直线AE与PD所成的角的大小.【考点】LM:异面直线及其所成的角;LW:直线与平面垂直.【专题】5F:空间位置关系与距离;5G:空间角.【分析】(1)首先利用勾股定理的逆定理证明DE⊥AE,及P A⊥平面ABCD,根据三垂线定理即可证明PE⊥DE;(2)取P A的中点M,AD的中点N,连MC、NC、MN、AC.利用三角形的中位线定理可知∠MNC的大小等于异面直线PD与AE所成的角或其补角的大小.再利用余弦定理即可得出.【解答】(1)证明:连接AE,由AB=BE=1,得,同理,∴AE2+DE2=4=AD2,由勾股定理逆定理得∠AED=90°,∴DE⊥AE.∵P A⊥平面ABCD,DE⊂平面ABCD,根据三垂线定理可得PE⊥DE.(2)取P A的中点M,AD的中点N,连MC、NC、MN、AC.∵NC∥AE,MN∥PD,∴∠MNC的大小等于异面直线PD与AE所成的角或其补角的大小.由P A=2,AB=1,BC=2,得,,∴,.∴异面直线PD与AE所成的角的大小为.【点评】熟练掌握勾股定理的逆定理、线面垂直的判定与性质定理、三垂线定理、三角形的中位线定理、异面直线所成的角、余弦定理是解题的关键.20.(14分)在△ABC中,角A,B,C所对的边长分别为a,b,c,向量=(2sin B,2cos B),=(cos B,﹣cos B),且.(1)求角B;(2)若b=2,求△ABC的面积的最大值.【考点】9O:平面向量数量积的性质及其运算;GP:两角和与差的三角函数;HR:余弦定理.【专题】58:解三角形.【分析】(1)利用数量积的运算法则、倍角公式、两角和差的正弦余弦公式及三角函数的单调性即可得出.(2)利用余弦定理和基本不等式即可得出ac≤4,再利用三角形的面积计算公式即可得出.【解答】解:(1)∵,∴,∴,,又0<B<π,∴,∴,∴.(2)∵b=2,b2=a2+c2﹣2ac•cos B,∴,即4=a2+c2﹣ac,∴4=a2+c2﹣ac≥2ac﹣ac=ac,即ac≤4,当且仅当a=c=2时等号成立.∴,当a=b=c=2时,.【点评】熟练掌握数量积的运算法则、倍角公式、两角和差的正弦余弦公式及三角函数的单调性、余弦定理和基本不等式、三角形的面积计算公式是解题的关键.21.(14分)已知复数z n=a n+b n•i,其中a n∈R,b n∈R,n∈N*,i是虚数单位,且z n+1=2z n++2i,z1=1+i.(1)求数列{a n},{b n}的通项公式;(2)求和:①a1a2+a2a3+…+a n a n+1;②b1b2﹣b2b3+b3b4﹣b4b5+…+(﹣1)n+1b n b n+1.【考点】8B:数列的应用;8E:数列的求和.【专题】11:计算题;15:综合题;54:等差数列与等比数列.【分析】(1)根据复数的代数形式及其运算法则,建立关于a n与a n+1、b n与b n+1的方程组,可得数列{a n}、{b n}分别是等比数列和等差数列,结合等差、等比数列的通项公式即可求出{a n}、{b n}的通项公式;(2)①根据(1)的结果,算出数列{a n a n+1}是以3为首项,公比为9的等比数列.再利用等比数列求和公式即可算出a1a2+a2a3+…+a n a n+1的值;②根据(1)中算出的{b n}的通项公式,分n为偶数时和n为奇数时两种情况讨论,对b1b2﹣b2b3+b3b4﹣b4b5+…+(﹣1)n+1b n b n+1进行分组,提公因式后利用等差数列求和公式进行计算,即可得到b1b2﹣b2b3+b3b4﹣b4b5+…+(﹣1)n+1b n b n+1表达式的两种情形,最后再加以综合即可得到答案.【解答】解:(1)∵z1=a1+b1•i=1+i,∴a1=1,b1=1.由z n+1=2z n++2i得a n+1+b n+1•i=2(a n+b n•i)+(a n﹣b n•i)+2i=3a n+(b n+2)•i,∴…(3分)因此,数列{a n}是以1为首项、公比为3的等比数列;数列{b n}是以1为首项、公差为2的等差数列,可得,a n=3n﹣1,b n=2n﹣1.…(6分)(2)①由(1)知a n=3n﹣1,∵,∴数列{a n a n+1}是以3为首项,公比为32的等比数列.∵a1a2+a2a3+…+a n a n+1=.…(9分)②当n=2k,k∈N*时,b1b2﹣b2b3+b3b4﹣b4b5+…+(﹣1)n+1b n b n+1=(b1b2﹣b2b3)+(b3b4﹣b4b5)+…+(b2k﹣1b2k﹣b2k b2k+1)=﹣4b2﹣4b4﹣…﹣4b2k=﹣4(b2+b4+…+b2k)=﹣4•﹣2n当n=2k+1,k∈N*时,b1b2﹣b2b3+b3b4﹣b4b5+…+(﹣1)n+1b n b n+1=(b1b2﹣b2b3)+(b3b4﹣b4b5)+…+(b2k﹣1b2k﹣b2k b2k+1)+b2k+1b2k+2=﹣8k2﹣4k+(4k+1)(4k+3)=2n2+2n﹣1又∵n=1也满足上式,∴b1b2﹣b2b3+b3b4﹣b4b5+…+(﹣1)n+1b n b n+1=…(14分)【点评】本题以复数的运算为载体,求等差、等比数列的通项公式和它们和的表达式,着重考查了复数代数形式的运算、等差等比数列的通项公式与求和公式等知识,考查了分类讨论的数学思想,属于中档题.22.(16分)已知抛物线C:y2=2px(p>0),直线l交此抛物线于不同的两个点、.(1)当直线l过点时,证明y1•y2为定值;(2)当y1y2=﹣p时,直线l是否过定点?若过定点,求出定点坐标;若不过定点,请说明理由;(3)如果直线l过点,过点M再作一条与直线l垂直的直线l'交抛物线C于两个不同点D、E.设线段AB的中点为P,线段DE的中点为Q,记线段PQ的中点为N.问是否存在一条直线和一个定点,使得点N到它们的距离相等?若存在,求出这条直线和这个定点;若不存在,请说明理由.【考点】I3:直线的斜率;KH:直线与圆锥曲线的综合.【专题】5D:圆锥曲线的定义、性质与方程.【分析】(1)设出直线的方程与抛物线的方程联立,利用根与系数的关系即可得出;(2)分直线l的斜率存在与不存在两种情况讨论:把直线的斜截式方程与抛物线的方程联立,利用根与系数的关系即可得出;(3)利用(1)的结论和中点坐标公式得到点P的纵坐标,代入直线l的方程得到点P的横坐标,同理得到线段DE的中点Q的坐标,再利用中点坐标公式即可得到点N的坐标,若在一个抛物线上即满足题意.【解答】解:(1)l过点与抛物线有两个交点,设l:x=my+p,由得y2﹣2pmy﹣2p2=0,∴.(2)当直线l的斜率存在时,设l:y=kx+b,其中k≠0(若k=0时不合题意).由得ky2﹣2py+2pb=0.∴,从而.从而,得,即,即过定点.当直线l的斜率不存在,设l:x=x0,代入y2=2px得y2=2px0,,∴,从而,即,也过.综上所述,当y1y2=﹣p时,直线l过定点.(3)依题意直线l的斜率存在且不为零,由(1)得点P的纵坐标为,代入l:x=my+p得,即.由于l'与l互相垂直,将点P中的m用代,得.设,则消m得.由抛物线的定义知存在直线,点,点N到它们的距离相等.【点评】熟练掌握直线与抛物线相交问题通过联立方程转化为一元二次方程的根与系数的关系是解题的关键.另外熟练写出直线的方程、应用中点坐标公式、熟悉分类讨论方法也是必备的能力.23.(18分)定义域为D的函数f(x),如果对于区间I内(I⊆D)的任意两个数x1、x2都有成立,则称此函数在区间I上是“凸函数”.(1)判断函数f(x)=lgx在R+上是否是“凸函数”,并证明你的结论;(2)如果函数在上是“凸函数”,求实数a的取值范围;(3)对于区间上的“凸函数”f(x),在上任取x1,x2,x3,…,x n.①证明:当n=2k(k∈N*)时,成立;②请再选一个与①不同的且大于1的整数n,证明:也成立.【考点】2K:命题的真假判断与应用.【专题】23:新定义.【分析】(1)利用作差法证明,即要证:,只要证即可;(2)首先根据“凸函数”的定义得出不等关系式,再进行分离常数a,然后问题就转化为函数求最值的问题,求最值时利用基本不等式法,即可得到a的范围;(3)①直接利用数学归纳法的证明步骤证明不等式,验证k=1时不等式成立;(2)假设当k=m(m∈N*)时成立,利用放缩法证明k=m+1时,不等式也成立.②比如证明n=3不等式成立.【解答】解:(1)设x1,x2是R+上的任意两个数,则∴.∴函数f(x)=lgx在R+上是“凸函数”.…(4分)(2)对于上的任意两个数x1,x2,均有成立,即,整理得…(7分)若x1=x2,a可以取任意值.若x1≠x2,得,∵,∴a≤﹣8.综上所述得a≤﹣8.…(10分)(3)①当k=1时由已知得成立.假设当k=m(m∈N*)时,不等式成立即f()≥[f(x1)+f(x2)+…+f(x2m)]成立.那么,由,得=.即k=m+1时,不等式也成立.根据数学归纳法原理不等式得证.…(15分)②比如证明n=3不等式成立.由①知c≤x1≤d,c≤x2≤d,c≤x3≤d,c≤x4≤d,有成立.∵c≤x1≤d,c≤x2≤d,c≤x3≤d,,∴,从而得.…(18分)【点评】本题给出了数学新定义凸函数,在判断一个函数是凸函数要根据定义,方法是“作差法”,本题的第一问与第二问紧密联系解题是要抓住这一点.难点在第三问,怎样根据数学归纳法原理证明不等式.。
上海市虹口区2013年初三英语二模拟考试
虹口区初三英语虹口区初三英语 本卷共9页 第1页 虹口区2013年英语学科中考练习题年英语学科中考练习题Part 1 Listening (第一部分 听力)2013.4 I. Listening Comprehension (听力理解) (共30分) A. Listen and choose the right picture (根据你听到的内容,选出相应的图片) (6分) A B CD E F G 1._________ 2. _________ 3. __________ 4. _________ 5. _________ 6._________ B. Listen to the dialogue and choose the best answer to the question you hear (根据你听到的对话和问题,选出最恰当的答案) (10分) ( ) 7. A) At home. B) In a flower shop. C ) In a school. C) In a school. D) In a hospital. ( ) 8. A) Have dinner. B) Clean the table. C) Read the notebook.D) Take notes. ( ) 9. A) Her father. B) Her mother. C) Her teacher. D) Her sister. ( ) 10. A) One. B) Two. C) Three. D) Four. ( ) 11. A) At 3:00 p.m.. B) At 6:00 p.m.. C) At 6:30 p.m.. D) At 7:00 p.m.. ( ) 12. A) By bus. B) By underground. B) By underground. C) By car. C) By car. D) By taxi. ( ) 13. A) They are talking on the phone. B) They are arguing in the room. C) They are waiting at the bus stop. D) They are having an English lesson. ( ) 14. A) I t’t’s just so-so. s just so-so. B) It ’s awful. C) It ’s not so good. D) It ’s delic s delicious. ious. ( ) 15. A) Terrible. B) Rude. C) Fair. D) Patient. ( ) 16. A) The man hesitated to lend the woman his bike. B) The man didn ’t know how to get there. C) The woman can ’t go there on foot. D) The woman has broken her leg. C. Listen to the dialogue and tell whether the following statements are true or false (判断下列句子是否符合你听到的内容, 符合的用“T”表示,不符合的用“F”表示) (7分)( )17. The boy is complaining about his sight. ( )18. The boy can’t see the clock tower clearly today. ( )19. There is some kind of fog in the air when it is windy. ( )20. There is a sandstorm and it stops people from seeing things clearly.( )21. People in Beijing are warned not to go out. ( )22. Only two reasons lead to sandstorms in Beijing.( )23. We can prevent the bad weather by protecting the forests. D. Listen to th e passage and complete the following sentences (听短文,完成下列内容,每空格限填一词): (共7分)24. People turned to their ________ for some advice when they had problems in the past. 25. Today advice from ________ shows, TV programs and telephone hot lines is available to us. 26. A telephone hot line is the _________ way of getting advice. 27. Advisers at some hot lines are ________ and people usually pay nothing for calls and advice. 28. Some advisers take a ________ class before working on the hot line. 29. About ________ percent of the advisers are professionals(专业人士) with years of education and experience. 30. All the advisers listen to people and help them __________their problems. Part 2 Vocabulary and Grammar(第二部分词汇和语法)Ⅱ. Choose the best answer (选择最恰当的答案) (共20分)( )31 Your manager is absent. Who will take _______ place of him? A) a B) an C) the D) / ( )32. Mr. Wang met an old schoolmate of _______ on his way to the airport. A) he B) his C) him D) himself ( )33. T he magic show lasted for three hours, but ______ people left early. A) few B) a few C) little D) a little ( )34. After reading the story, we came to know nobody can be successful ______ any efforts. A) for B) in C) on D) without 虹口区初三英语 本卷共10页第2页虹口区初三英语虹口区初三英语虹口区初三英语 本卷共10页 第3页( )35. When we face(面对) any danger, we should keep __________. A) calm B) careful C) quiet D) frightened ( )36. The place is too expensive to hold our party. We should find a __________ one. A) cheap B) cheaper C) cheapest D) the cheapest ( )37. We can ’t do listening exercise, _______ the teacher ’s recorder doesn’t work. A) for B) but C) or D) and ( )38. )38. Teenagers Teenagers Teenagers will will will learn learn learn more more more knowledge knowledge knowledge from from from real real real life life life ______ ______ ______ they they they have have have more more more chances chances chances to to experience it. A) although B) if C) before D) unless ( )39. _______ you wait a few more minutes? The doctor’s coming soon. A) Should B) Must C) Need D) Could ( )40. The company decided to spend about five ________ yuan building a school for the children in western China. A) millions B) millions of C) million of D) million ( )41. Jane plays the piano best in our class, so I never forget _____ the music she played for the first time. A) to hear B) heard C) hearing D) hear ( )42. The young ought to be allowed __________ their dream by themselves. A) achieve B) to achieve C) achieving D) achieved ( )43. —Could you tell me ________ you did it so well? —With my parents’s’ help. help. A) who B) how C) when D) what ( )44. The Bund as well as Shanghai Oriental Pearl TV Tower __________ thousands of foreign tourists every month A) attracts B) attract C) will attract D) are attracting ( )45. —I phoned you this morning, but you weren ’t in. Where were you at that time? — I ___________ my foreign friends around Yu Garden. A) showed B) am showing C) was showing D) would show ( )46. I felt very nervous on the plane because I ________ before. A) hadn ’t flown B) haven ’t flown C) didn ’t fly D) wouldn’t fly fly ( )47. Eric ’s mother has never seen a 3D film at the cinema, _________? A) hasn ’t she B) has she C) isn ’t she D) is she A. noticed B. cases C. cheap D. plastic E. turned into F. society G. really H. instead I. returned The students are asked to write a diary in English every day.( 68. The students are asked to write a diary in English every day.(s dangerous if you choose the wrong moment. 虹口区初三英语虹口区初三英语 本卷共10页 第7页C) I t’t’s for young people. s for young people. D) It ’s difficult. ( )79. The passage is mainly about __________. A) the good chances in TV camera work B) the challenges of the environment the writer works in C) the difficulties of having to work alone D) the beautiful scenery of the Arctic B. Choose the words or expressions and complete the passage. (选择最恰当的单词或词组完成短文): (共12分)I was cute, active, happy …until that day when I was 15 months old. I had a bad fall. I landed on a glass rabbit and it cut my eye badly enough to blind it. The doctor said if the eye was taken out, my face would become out of ___80__, so my scarred (有疤痕的),blind and grey eye lived on with me. People People often often often asked asked asked uncomfortable uncomfortable uncomfortable questions questions questions about my about my eye eye or or or ___81___ ___81___ ___81___ played played played jokes jokes jokes on on on me. me. When the kids played games, I was always the “bad guy ”. I grew up imagining that everyone looked down on me. Yet every time Mom noticed I was unhappy, she would say to me, “Hold your head up high and face the world.” It helped me move on in life. As a child, I told myself, “Be careful or I will fall down or knock into something because I am not looking.” As a teenager, I always looked down to hide my shame, but I found that people liked me when sometimes I held my head up high. In high school I was even made monitor, but outside I still felt like a freak (怪物). All I really wanted was to to look look look like like like ___82___. ___82___. ___82___. When When When things things things got got got really really really bad, bad, bad, I would cry I would cry t o to to my my my mom mom mom and she and she would look at me with loving eyes and say, “Hold your head up high and face the world. Let them see the love that is inside.” That is ___83___ Mom taught me pride. Mom Mom’’s love and encouragement gave me the confidence to remove my own doubt. ___84___ I was able to look people in the eye. I learned not only to appreciate(欣赏) myself but to have love for others. “Hold your head up high ” has been heard many times in my home. Each of my children has felt its ___85___. The gift she gave me lives on in my children. ( ) 80. A) fashion B) order C) shape D) date ( ) 81. A) still B) even C) almost D) hardly ( ) 82. A) something special B) something new C) someone strange D) everyone else 虹口区初三英语虹口区初三英语 本卷共10页 第8页( ) 83. A) when B) why C) how D) where ( ) 84. A) Especially B) Immediately C) Finally D) Suddenly ( ) 85. A) power B) promise C) energy D) secret C. Read the passage and fill in the blanks with proper words. (在短文的空格内填入适当的词,使其内容通顺,首字母已给,每格限填一词): (共14分)When I came out of my office, it was dark. In order to get home as soon as possible, I took a taxi. The car was flying along the road, but later it was in a traffic jam in darkness. I b___86___ the silence silence for for for fear fear fear that that that the the the driver driver driver might might might be be be too too too tired tired tired to to to drive. drive. “When When do do do you you you go go go back back back home home home in in in the the evenings?”“Nine o ’clock. I ’ll go home after this t___87_____.”“Then when do you come out in the mornings?” I threw out another question. “Nine o ’clock, too. And I go home for lunch and dinner, just as if I worked at an office.”His words s____88____ me, because every time I ride in a taxi, what I hear from the driver is only complaints. complaints. They They They complain complain complain that that that they they they have have have to to to work work work from from from morning morning morning till till till night, night, night, that that that it it it is is is hard hard hard to to to earn earn money, that they are bullied(欺负)by the police, or that the leaders enjoy the fruits of their work. It s___89__ s___89__ they they they are are are not not not satisfied with satisfied with everything. everything. But But But this this this driver driver driver told told told me, me, “I find it it tiring tiring tiring to to to be be be a a section chief as I was before. I don ’t like management work. I like driving, just out of pleasure. It ’s lucky that I s___90____ drive without a passenger. So I can earn three or four thousand yuan a month month easily. easily. Any Any trick? trick? Yes, I I never never never follow follow follow an an an e___91____taxi. e___91____taxi. e___91____taxi. If If If it it it goes goes goes southward, southward, southward, I I I go go northward. northward. If If If it it it goes goes goes along along along the the the highway, highway, highway, I I I turn turn turn into into into a a a narrow narrow narrow street. street. street. In In In this this this way way way I I I always always always get get customers.”His words showed his satisfaction with his life and the pride he took in his job. Such feelings are so rare among people nowadays just as oxygen in high mountains. How many people nowadays can show high ideals(理想;完美) by s____92____ living and go with a calm mind? I couldn ’t help feeling moved when I found such a state of mind in a stranger on a cold winter night. D. Answer the questions. (根据短文内容回答下列问题): (共12分)A clever pigeon (鸽子)(鸽子)just wants a chance to drive a bus or eat a hot dog. Will he succeed? A young girl loses her favourite toy in the park. What will she do? These are just a few of the questions raised in the books of award-winning author Mo Willems. His picture book Don ’t Let the Pigeon Drive the Bus! has been named a Caldecott Honor book. Willems has also written The Pigeon Finds a Hot Dog! and many other books. Before Before writing writing writing books, books, books, Willems Willems Willems spent spent spent many many many years writing years writing for for television. television. television. He He He is is is now now now the the the head head 虹口区初三英语虹口区初三英语 本卷共10页 第9页writer writer for for for Cartoon Cartoon Cartoon Networ Networ Network’k’k’s s s program: program: Kids Next Door. The The reporter reporter reporter asked asked asked Willems Willems Willems about about about his his writing. Reporter: What makes the great picture book attract readers of all ages? Willems: The difference between adults and kids is that kids are shorter. They are exactly the same. They don ’t like being talked down to. And they like funny stories. I ’m not writing things that I think kids will like. I ’m writing things just I like and I believe that ’s good enough for kids and for everyone else to enjoy. Reporter: Reporter: What What What a a a strong strong strong character! character! character! How How How confident confident confident you you you are! are! are! What What What five five five words words words would would would you you you use use use to to describe yourself? Willems: I can do it in three: I like fun. Reporter: Do you have any words of wisdom for kids? Willems: People who say that you can do anything you want are not honest. Other people tell you that you can do something, and that ’s true. You can ’t do everything. You can ’t fly. You don don’’t have super powers but you can do some things. If you work hard enough, and figure out what those things are, you can do them. Reporter: Reporter: Actually, Actually, Actually, you you you share share share a a a common common common journey journey journey through through through life life life with with with readers readers readers in in in your your your books. books. books. Your Your humor can be a good way of developing better relationships among various people. Thank you very much for taking the time for the interview. 93. Are adults more powerful than kids? ________, __________________________________. 94. Kids Next Door isn isn ’t a famous picture book, is it? ______, ____________________________________. 95. What makes his books attract readers of all ages? He writes __________________________________. 96. How does Mo Willems describe himself? ____________________________________________. 97. What does Mo Willems want to tell children? Without magic power, __________________ but ____________________. 98. The reporter thinks Mo Willems is very confident. How does he know that? __________________________________________. Ⅶ. Writing (作文) (共20分)99. Write a passage of at least 60 words on the topic“I w ant to recommend a good book to …”.( 以“我想要给……推荐一本好书”为题写一篇不少于60个词的短文,标点符号不占格。
2013年上海市虹口区高考语文二模试卷(含详解)
2013年上海市虹口区高考语文二模试卷一、阅读80分1.(16分)阅读下文,完成下列各题。
①英国历史学家彼得•伯克在《什么是文化史》一书中说,西方近代的阅读方式可能有三个转变,其过程极其缓慢,从根本上来说,就是西欧社会开始从口述社会向读写社会转变。
②这一转变从中世纪开始,首先出现在社会上层的贵族和神职人员;9世纪时,开始有了对在修道院缮写房工作的抄写员要默读的规定。
在这之前,他们在抄写文本时,【甲】是以口述或是朗读的方式来进行。
15世纪,随着古登堡印刷术的推广,口述传统凋零,不过音读没有消失,【乙】再也不是主流而已。
③在毕升发明活字印刷术400年后,1450年左右,德国工匠古登堡的金属活字印刷术在美因茨问世,羊皮纸时代宣告结束,纸张时代从此来临。
自此书籍的材质、内容、语言以及阅读的方式都开始悄然变化。
伴随印刷文化,眼睛加快了速度,声音被迫沉默。
美国有学者认为印刷厂成为将西方引入现代的关键角色之一,这场印刷革命把西欧社会从口述社会带进了书面社会,人们开始更加习惯默读。
④古登堡印刷术问世后,最明显的变化是书籍增多,1450年到1500年间,大约有2.7万余部作品印刷刊行。
到1500年,欧洲已经有250多个印刷中心。
威尼斯的阿杜斯公司开创了口袋书的先河,让书籍的价格降低,现代书籍就是直接由其演化而来。
普通读者能够接触到的书籍越来越多。
15世纪末,书面文字以近千年来从未有过的方式丰富充实了欧洲社会。
⑤伴随着书籍的极大丰富,识字率也在上升,从16世纪起,欧洲,特别是西欧国家积累的财富日益增多,越来越推动社会教育的发展。
英国在亨利八世到查理一世时期前所未有地富强,各种学校纷纷涌现,文化得到普及。
1642年,英国城镇约有60%的人会写自己的名字(乡村只有38%).据估计,有的牧羊人、渔民、建筑工人、小农,的乡村店主和手工业者,以及一半纺织服装贸易商都可以进行少量阅读,但不会写字。
⑥地方印刷商为赢得更多读者,不断出版廉价的盗版书籍。
2013虹口区高三二模数学答案(文)
虹口区2013年数学学科高考练习题答案(文)一、填空题(每小题4分,满分56分) 1、)21,(∞-;2、2;3、97-; 4、1-; 5、12822=-yx;6、1;7、7;8、1;9、74; 10、]3,1[-;11、23; 12、322; 13、9; 14、07≤<-a 或2=a ;二、选择题(每小题5分,满分20分)15、C ; 16、D ; 17、A ; 18、D ; 三、解答题(满分74分)19、(12分) 解:(1)取AD 的中点F ,连EF 、PF .AB EF //,∴PEF ∠的大小等于异面直线PE 与AB 所成的角或其补角的大小.……2分由1=PA ,1==BE AB ,⊥PA 平面ABCD ,ABCD 是矩形,得1=EF ,2=AE ,2=PF ,3=PE ,∴3332213cos =-+=∠PEF .………………5分∴异面直线PE 与AB 所成的角的大小等于33arccos.………………6分(2) ⊥PA 平面ABCD ,1=PA ,1=AB ,1=AD ,21=∆PAB S ,1=∆PAD S .BE PA ⊥,AB BE ⊥,∴⊥BE 平面PAB ,∴⊥BE PB ,2=PB ,22=∆PBE S .…………………………9分 连AE ,由1==BE AB ,得2=AE ,同理2=DE ,322=+=AEPA PE ,又522=+=ADPA PD ∴222PD DEPE=+,由勾股定理逆定理得︒=∠90AED ,∴26=∆PED S .∴四棱锥ABED P -的侧面积为2623++.………………12分D20、(14分)解:(1) 1=⋅n m ,∴1cos 2cos 3sin 22=-⋅B B B ,22cos 2sin 3=-B B ,1)62sin(=-πB ,……………………5分又π<<B 0,∴611626πππ<-<-B ,∴262ππ=-B ,∴3π=B ………………7分(2) 2=b ,c a b +=2,∴4=+c a .又B ac c a b cos 2222⋅-+=,∴3cos2422π⋅-+=ac c a ,即ac c a -+=224……10分将4=+c a 代入得0442=+-a a ,得2=a ,从而2=c ,三角形为等边三角形.……12分∴3sin 21==∆B ac S .………………14分21、(14分)解:(1) i i b a z +=⋅+=1111,∴11=a ,11=b .由i z z z n n n 221++=+得i b a i i b a i b a i b a n n n n n n n n ⋅++=+⋅-+⋅+=⋅+++)2(32)()(211,∴⎩⎨⎧+==++2311n n nn b b a a ………………3分 ∴数列{}n a 是以1为首项公比为3的等比数列,数列{}n b 是以1为首项公差为2的等差数列,∴13-=n n a ,12-=n b n .……………………6分(2)由(1)知13-=n n a ,12-=n b n .①i n i b b b a a a z z z n n n n ⋅+-=⋅+++++++=+++2212121)13(21)()( .……10分②令n n n b a b a b a S +++= 2211,)12(35333112-⋅++⋅+⋅+=-n S n n (Ⅰ)将(Ⅰ)式两边乘以3得)12(3533313332-⋅++⋅+⋅+⋅=n S nn (Ⅱ)将(Ⅰ)减(Ⅱ)得)12(33232323212132-⋅-⋅++⋅+⋅+⋅+=--n S nn n .)22(322+-+-=-n S n n ,13)1(+⋅-=nn n S .……………………14分22、(16分)解:(1)l 过点)0,(p M -与抛物线有两个交点,可知其斜率一定存在,设)(:p x k y l +=,其中0≠k (若0=k 时不合题意),由⎩⎨⎧=+=pxy p x k y 2)(2得02222=+-⋅k p py y k ,∴2212p y y =⋅.………………4分注:本题可设p my x l -=:,以下同.(2)当直线l 的斜率存在时,设b kx y l +=:,其中0≠k (若0=k 时不合题意). 由⎩⎨⎧=+=pxy b kx y 22得0222=+-pb py ky . p kpb y y -==∴221,从而2k b -=.………………6分假设直线l 过定点),(00y x ,则b kx y +=00,从而200k kx y -=,得0)21(00=--y k x ,即⎪⎩⎪⎨⎧==2100y x ,即过定点)0,21(.………………8分当直线l 的斜率不存在,设0:x x l =,代入px y 22=得022px y =,02px y ±=,p px px px y y -=-=-⋅=∴000212)2(2,从而210=x ,即21:=x l ,也过)0,21(.综上所述,当p y y -=21时,直线l 过定点)0,21(.………………10分(3)依题意直线l 的斜率存在且不为零,由(1)得点P 的纵坐标为kp y y y P =+=)(2121,代入)(:p x k y l +=得p kp x P -=2,即),(2kp p kp P -.…………12分设),(y x Q ,则⎪⎪⎩⎪⎪⎨⎧⋅=+-=k p y p p k p x 21)(212消k 得x p y 22=…………14分 由抛物线的定义知存在直线8p x -=,点)0,8(p ,点Q 到它们的距离相等.…………16分23、(18分)解:(1)设1x ,2x 是任意两个实数,则有)]()([21)(21)2(41)2()2(21222122212122121x f x f x x x x x x x x x x f +≥--≥---=+-=+.∴函数2)(x x f -=在R 是“凸函数”.………………4分(2)若对于]2,1[上的任意两个数1x ,2x ,均有)]()([21)2(2121x f x f x x f +≥+成立,即)]()[(212)2(22212121221x a x x a x x x a x x +++≥+++,整理得)()(21)(2121221221x x x x x x a x x +--≤-……………………7分 若21x x =,a 可以取任意值. 若21x x ≠,得)(212121x x x x a +-≤, 1)(2182121-<+-<-x x x x ,∴8-≤a .综上所述得8-≤a .………………10分 (3)当1=k 时由已知得)]()([21)2(2121x f x f x x f +≥+成立.假设当m k =)(*∈N m 时,不等式成立即)]()()([21)2(2211221m kx f x f x f x x x f mm +++≥++++ 成立. 那么,由d x x x c mm≤+++≤2221 ,d x x x c mmm m m ≤+++≤+++2222212得]}22[21{)2(22221222112211mm m m m m m mm x x x x x x f x x x f +++++++++++=++++ )]2()2([21222212221mmmm m m mx x x f x x x f ++++++++++≥)]}()()([21)]()()([21{21122212221++++++++≥++m m m m x f x f x f x f x f x f mm)]()()([2112211++++=+m x f x f x f m .即1+=m k 时,不等式也成立.根据数学归纳法原理不等式得证.………………18分。
2013-虹口区二模-答案2013-虹口区二模-答案
上海市虹口区2013年中考二模语文试题一.文言文(共42分)(一)默写(18分)1.会当凌绝顶,。
(杜甫《望岳》)2.,病树前头万木春。
(刘禹锡《酬乐天扬州初逢席上见赠》)3.昨夜江边春水生,。
(朱熹《观书有感》)4.,脉脉不得语。
(《迢迢牵牛星》)5.狼不敢前,。
(蒲松龄《狼》)6.复行数十步,。
(陶渊明《桃花源记》)(二)阅读古诗,完成下列7-8题(4分)观沧海曹操东临碣石,以观沧海。
水何澹澹,山岛竦峙。
树木丛生,百草丰茂。
秋风萧瑟,洪波涌起。
日月之行,若出其中;星汉灿烂,若出其里。
幸甚至哉,歌以咏志。
7.与“东临碣石”的“临”词义相同的一项是()(2分)A.有亭翼然临于泉上者,醉翁亭也。
B.故临崩寄臣以大事。
C.把酒临风,其喜洋洋者矣。
D.临溪而渔,溪深而鱼肥。
8.从诗中可以看出诗人的远大抱负。
(2分)(三)阅读下文,完成下列9-11题(8分)出师表(节选)①先帝知臣谨慎,故临崩寄臣以大事也。
受命以来,夙夜忧叹,恐托付不效,以伤先帝之明,故五月渡泸,深入不毛。
今南方已定,兵甲已足,当奖率三军,北定中原,庶竭驽钝,攘除奸凶,兴复汉室,还于旧都。
此臣所以报先帝而忠陛下之职分也。
至于斟酌损益,进尽忠言,则攸之、祎、允之任也。
②愿陛下托臣以讨贼兴复之效,不效则治臣之罪,以告先帝之灵。
若无兴德之言,则责攸之、祎、允等之慢,以彰其咎;陛下亦宜自谋,以咨诹善道,察纳雅言,深追先帝遗诏。
臣不胜受恩感激。
9.上文的作者是(朝代)的政治家、军事家(人名)。
(2分)10.用现代汉语翻译文中画线句。
(3分)此臣所以报先帝而忠陛下之职分也。
11.下列理解有误的一项是()(3分)A.第①段分析的条件是“南方已定,兵甲已足”。
B.“兴复汉室,还于旧都”是出征北伐的主要意图。
C.第①段作者强调自己“谨慎”是因为要完成先帝“大事”。
D.第②段作者希望刘禅要善于征询和采纳谋士的意见。
(四)阅读下文,完成12-15题(12分)杨万里①宋名士也。
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上海市虹口区2013年中考二模语文试题一.文言文(共42分)(一)默写(18分)1.会当凌绝顶,。
(杜甫《望岳》)2.,病树前头万木春。
(刘禹锡《酬乐天扬州初逢席上见赠》)3.昨夜江边春水生,。
(朱熹《观书有感》)4.,脉脉不得语。
(《迢迢牵牛星》)5.狼不敢前,。
(蒲松龄《狼》)6.复行数十步,。
(陶渊明《桃花源记》)(二)阅读古诗,完成下列7-8题(4分)观沧海曹操东临碣石,以观沧海。
水何澹澹,山岛竦峙。
树木丛生,百草丰茂。
秋风萧瑟,洪波涌起。
日月之行,若出其中;星汉灿烂,若出其里。
幸甚至哉,歌以咏志。
7.与“东临碣石”的“临”词义相同的一项是()(2分)A.有亭翼然临于泉上者,醉翁亭也。
B.故临崩寄臣以大事。
C.把酒临风,其喜洋洋者矣。
D.临溪而渔,溪深而鱼肥。
8.从诗中可以看出诗人的远大抱负。
(2分)(三)阅读下文,完成下列9-11题(8分)出师表(节选)①先帝知臣谨慎,故临崩寄臣以大事也。
受命以来,夙夜忧叹,恐托付不效,以伤先帝之明,故五月渡泸,深入不毛。
今南方已定,兵甲已足,当奖率三军,北定中原,庶竭驽钝,攘除奸凶,兴复汉室,还于旧都。
此臣所以报先帝而忠陛下之职分也。
至于斟酌损益,进尽忠言,则攸之、祎、允之任也。
②愿陛下托臣以讨贼兴复之效,不效则治臣之罪,以告先帝之灵。
若无兴德之言,则责攸之、祎、允等之慢,以彰其咎;陛下亦宜自谋,以咨诹善道,察纳雅言,深追先帝遗诏。
臣不胜受恩感激。
9.上文的作者是(朝代)的政治家、军事家(人名)。
(2分)10.用现代汉语翻译文中画线句。
(3分)此臣所以报先帝而忠陛下之职分也。
11.下列理解有误的一项是()(3分)A.第①段分析的条件是“南方已定,兵甲已足”。
B.“兴复汉室,还于旧都”是出征北伐的主要意图。
C.第①段作者强调自己“谨慎”是因为要完成先帝“大事”。
D.第②段作者希望刘禅要善于征询和采纳谋士的意见。
(四)阅读下文,完成12-15题(12分)杨万里①宋名士也。
韩侂胄②欲网罗四方知名士相羽翼,尝筑南园。
属万里为之记,许以高官。
万里曰:“官可弃,记不可作。
”侂胄恚,改命他人。
【侂胄专权日益甚,万里忧愤成疾】。
遽闻侂胄用兵事。
万里恸哭失声,亟呼纸书日:“奸臣,专权无上,动兵残民,谋危社稷,吾报国无路,惟有孤愤!”落笔而逝。
(节选自《宋史杨万里传》)【注释】①杨万里:南宋著名诗人,力主抗金。
②韩侂(tuō)胄:南宋重臣,专权十多年。
12.解释下列加点词语:(4分)①[许]以高官②记不可[作]13.文中画线句翻译正确的一项是()(3分)A.侂胄独享大权每天有很多好处,杨万里忧伤愤恨。
B.侂胄独揽大权日渐严重,杨万里忧愤而病。
C.侂胄独享大权每天有很多好处,杨万里忧愤而病。
D.侂胄独揽大权日渐严重,杨万里忧伤愤恨。
14.“万里恸哭失声”的原因是(用自己的话概括)(2分)15.从选文看,下列对杨万里评价不正确的一项是()A.刚正不阿B.忧国爱国C.爱憎分明D.孤傲清高二.现代文(共48分)(一)阅读下文,完成16-20题。
(21分)漫说青铜器①中国的青铜器始于何时?黄帝时代已有铸造铜、铜编钟的传说:夏禹时代,又有“禹铸九鼎”的传说,但人们并没有发现青铜器实物。
迄今为止,考古发现的最早的青铜器出土于河南西部的二里头遗址。
二里头文化相当于夏朝中晚期,说这个时期进入青铜时代,是有事实根据的。
②青铜文明的鼎盛时期是商朝。
【商朝第二十二代王武丁一个妃子的墓葬中,有200多件青铜礼器、130多件青铜兵器、5件大青铜铎、16件小青铜铃、44件青铜器具、4件青铜镜、4件青铜虎、1件青铜勺、20多件其他青铜器】。
品种之丰富、数量之众多、造型之独特,令人【叹为观止】。
其中一件三联铜巖(yǎn),在一个铜制的长凳上并排放着三个蒸煮食物的炊具,散发着浓郁的生活气息。
③青铜器的种类很多,主要是礼器和兵器,由此折射出,它的政治意义大于经济意义。
④安阳武官村出土的司母戊鼎,是商朝后期的器物,形制粗壮结实、方正严谨,象征无可争议的权力。
【这是目前已发现的分量最重的青铜器】。
⑤青铜礼器是王室与贵族权力的体现,因而制作讲究,上面有精美的浮雕纹饰。
这种纹饰,大多是动物图案。
其中少数是自然界存在的动物,多数是神话中的动物。
对于动物图案的意义,考古学家认为,神话中的动物功能,是把人的世界与祖先、神灵的世界相互沟通,以祈求他们在人世间的权力与财产得到庇佑。
例如:饕餮(有头无身、食人未咽的怪兽)、肥遗(一个头两个身体的蛇)、夔(头尾横列中有一足的龙形兽)、虬(有角龙)、此外还有龙这种古人最崇拜的神话动物。
不过青铜器上的饕餮纹、肥遗纹、夔纹、虬纹、龙纹只是一种约定俗成的指称或描述,有一定的装饰美化作用。
⑥青铜器纹饰的风格从凝重庄严的艺术风格转向了朴实、简洁、明快风格,同时青铜器的社会功能也从祭祀用的礼器逐渐转变为实用器具。
青铜器的纹饰则由庄重的饕餮纹、夔纹到富有韵律的窃曲纹(由两端回钩的或“s”形的线条构成的扁长图形)、环带纹,再发展为清晰的蟠螭纹、宴纹、攻战纹等,期间动物纹饰狰狞的超自然魔力逐渐减弱,直至丧失。
这种纹饰的变化不仅仅是因为制造工艺或者人们审美水平的提高引起的,还与人类生产力的提高及社会的变革也存在一定的联系。
⑦青铜器与中国奴隶社会的发展是一致的,它随着奴隶社会的产生而出现,又随着奴隶社会的解体而变迁,是中国奴隶社会文化最为直接的体现。
中国青铜器制造精美,在世界青铜器中堪称艺术价值最高。
代表着中国在商周时期高超的技术和文化。
【相关链接】1980年代末,四川三星堆青铜器的出土,是考古界的重大发现。
三星堆是商朝时期蜀国的都城遗址,大量精美绝伦而又怪异的青铜器,令人诧异莫名。
其中一件青铜人像,有真人大小,面部造型逼真,浓眉阔目,高鼻大耳,头冠上有羽毛装饰物,身穿三层华衣,上面有夔纹、拳爪纹、人面纹、以及云雷纹图案,透露出神秘的色彩。
16.对第②段加点词语“叹为观止”含义解释正确的一项是()(2分)A.赞美看到的事物好到了极点。
B.感叹所见的事物不会停止。
C.赞美看到的事物不会停止。
D.感叹所见的事物好到了极点。
17.请从说明语言准确性的角度分析第④段划线句的妙处。
(4分)18.第②段划线句主要运用了的说明方法,其作用是(4分)19.第⑤-⑥段从三个方面说明“青铜礼器的纹饰”在装饰美化的作用,分别是:(6分)①②③20.阅读相关链接,结合文中信息,分析三星堆出土的青铜器所蕴含的信息(5分)(二)阅读下文,完成第21-26题(27分)风会记得一朵花的香一①没事的时候,我喜欢伏在三楼的阳台上,往下看。
那儿,几间平房,座西朝东,原先是某家单位做仓库用的。
房很旧了,屋顶有几处破败得很,像一件破棉袄,露出里面的絮。
“絮”是褐色的木片子,下雨的天,我总担心它会不会漏雨。
②房子周围长了五棵紫薇。
花开时节,我留意过,一树花白,两树花红,两树花紫。
把几间平房,衬得水粉水粉的。
常有一只野鹦鹉,在花树间跳来跳去,变换着嗓音唱歌。
房前,码着一堆的砖,不知做什么用的。
砖堆上,很少有空落落的时候,上面或晒着鞋,或晾着衣物什么的。
最常见的,是两双绒拖鞋,一双蓝,一双红,它们相偎在砖堆上,孵太阳。
像夫妇俩。
③也真的是一对夫妇住着,男的是一家公司的门卫,女的是街道清洁工。
他们早出晚归,从未与我照过面,但我听见过他们的说话声,在夜晚,喁喁的,像虫鸣。
我从夜晚的阳台上望下去,望见屋子里的灯光,和在灯光里走动的两个人影。
【世界美好得让人心里长出水草来】。
④某天,我突然发现砖堆上空着,不见了蓝的拖鞋红的拖鞋,砖堆一下子变得异常冷清与寂寥。
他们外出了?还是生病了?我有些心神不宁。
⑤重“见”他们,是在几天后的午后。
我在阳台上晾衣裳,随意往楼下看了看,看到砖堆上,hè然躺着一蓝一红两双绒拖鞋,在太阳下,相偎着,仿佛它们从来不曾离开过。
那一刻,我的心里腾出欢喜来:感谢天!他们还都好好地生活着。
二⑥做宫廷桂花糕的老人,天天停在一条路边。
他的背后,是一堵废弃的围墙,但这不妨碍桂花糕的香。
他跟前的铁皮箱子上,叠放着五六个小蒸笼,什么时候见着,都有袅袅的香雾,在上面缠着绕着,那是蒸熟的桂花糕好闻的味道。
⑦老人瘦小,永远一身藏青的衣,藏青的围裙。
雪白的米粉,被他装进一个小小的木器具里,上面点缀桂花三两点,放进蒸笼里,不过眨眼间,一块桂花糕就成了。
停在他那儿,买了几块尝。
热乎乎的甜,软乎乎的香,忍不住夸他,你做的桂花糕,真的很好吃。
他笑得十分十分开心,他说,他做桂花糕,已好些年了。
⑧我问,祖上就做么?他答,祖上就做的。
我提出要跟他学做,他一口答应,好。
于是我笑,他笑,都不当真。
却喜欢这样的对话,轻松,愉快,人与人,不疏离。
⑨再路过,我会冲着他的桂花糕摊子笑笑,他有时会看见,有时正忙,看不见。
看见了,也只当我是陌生的,回我一个浅浅的笑,--来往顾客太多,他不记得我了。
但我知道,我已忘不掉桂花糕的香,许多小城人,也都忘不掉。
⑩现在,每每看到老人在那里,心里便很安然。
像小时去亲戚家,拐过一个巷道,望见麻子师傅的烧饼炉,心就开始雀跃,哦,他在呢,他在呢。
⑾麻子师傅的烧饼炉,是当年老街的一个标志。
它和老街一起,成为一代人的记忆。
三⑿卖杂粮饼的女人,每到黄昏时,会把摊子摆到我们学校门口。
两块钱的杂粮饼,现在涨到三块了,味道很好,有时我也会去买上一个。
时间久了,我们相熟了。
遇到时,会微笑、点头,算作招呼。
偶尔,也有简短的对话,她知道我是老师,会问一句,老师,下课了?我答应一声,问她,冷吗?她笑着回我,不冷。
⒀我们的交往,也仅仅限于此。
淡淡的,像路边随便相遇到的一段寻常。
⒁我出去开笔会,一走半个多月。
回来后,正常上班,下班,没觉得有什么不同。
女人的摊子,还摆在学校门口,上面撑起一个大雨篷,挡风的。
学生们还未放学,女人便闲着,双手插在红围裙兜里,在看街景。
【当看到我时,女人的眼里跳出惊喜来】。
女人说,老师,好长时间没看到你了。
⒂当下愣住,一个人的存在,到底对谁很重要?这世上,总有一些人记得你,就像风会记得一朵花的香。
凡来尘往,莫不如此。
21.根据第⑤段的拼音写出汉字:hè()然(2分)22.第③段划线句运用了的修辞手法,其表达效果是(4分)23.24.批注是一种重要的读书方法,即对文章精彩的词、句、段作出自己的点评或分析。
请为第(14)段划线句撰写批注。
(2分)画线句:当看到我时,女人的眼里跳出惊喜来。
批注:25.下列分析有误的一项是()(3分)A.标题用诗意的语言表达了作者对生活的领悟和情感。
B.第①段的环境描写交代了“我”观景的位置,引出下文。
C.第④段“他们是外出了?还是生病了?”中第一处问号应该为“逗号”。
D.第⑩段“他在呢,他在呢。
”用短句形式强调了作者欣喜愉快的心情。
26.三.写作(60分)27.题目:亲情是一首歌要求:(1)写一篇600字左右的文章;(2)不能使用本试卷内的材料;(3)不得透露个人信息。