二册试题
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L e s s o n T h r e ePub Talk and the King’s EnglishI. Choose the one which best explains the word given blow:1. intricateA. difficultB. complicatedC. invalidD. simple2. anecdoteA. short amusing storyB. long tedious talkC. uninteresting writingD. exciting information11. sinisterA. not pretendedB. suggesting evilC. happening in the same timeD. giving orders12. pejorativeA. sharpB. distastefulC. contemptuousD. penetrating13. ultimatumA. the general opinion about the character, qualities etc.B. state of being in demandC. sth. that provokes or annoysD. final statement of conditions to be accepted14. tussleA. have a hard struggle or fightB. raise to a higher gradeC. come to a lower level or stateD. make the greatest possible use of15. scamperA. move onward smoothlyB. drop down directlyC. run quickly and playfullyD. walk forward and backward16. edictA. orderB. articleC. paintingD. newspaper26. gossipA. gloryB. rumorC. private factD. personal things27. prosea. imitation B. copyingC. writingD. drawing28. punctuateA. insert occasionallyB. not to emphasizeC. act instantlyD. interrupt periodically29. recessA. accepted quantityB. the act of receivingC. secluded placeD. secrete news30. pressingA. urgentB. immediateC. refusingD. interacting.II. Complete the word according to the definition, the first letterof the word is given:1. ordinary c ommonplace12. mocking remark j eer _13. greatest in power, authority, or rank; paramount or dominants upreme14. to object to, especially in a formal statement p rotest15. a person, an animal, or a plant whose descent can be traced to aparticular individual or group. d escendant16. a force that tends to oppose or retard motionr esistance17. an enclosure for swine s ty18. the meat of a calf v eal19. a narrow fissure in rock or a break in friendly relations r ift20. something that separates or holds apart b arrier21. to attempt to overthrow the authority of the state or rebelr evolt22. to use wrongly or improperly; misuse a buse23. treatment or consideration based on class or category rather thanindividual merit; partiality or prejudiced iscrimination24. physical or mental strength, energy, or force v igor25. to declare free of blame; absolve. j ustifyIII. Put the following words and phrases into the appropriate blanks in the following sentences.13.Because Matt is susceptible to bronchial infections, his motherbadgered him to get a flu shot.ura agreed to accept Tom's gift on condition that he allow hereto treat him to a movie.15.A perceptive child knows immediately when a parent is distraughtor upset.16.Hank has no concept _ of how difficult it is to operate a farmthese days.17.The actress was receptive to the director's suggestions forportraying the role of Lady Macbeth.18.The performances in this production of Chekhov's The Cherry Orchardare first-rate, with only one exception.19.Macbeth's expression was deceptive, for as he smiled, he plottedKing Duncan's death.20.This antiballistic missile is designed to locate and intercept21.3.5.The worst conversationalist is the person who ______A.is not making a point.B.is prepared to looseC.is trying to talk sense.D.slips and slides in conversationV. Determine whether the following statements are true or false. Put a “T”, if thestatement is true and put a “F”, if false.1.The Norman lords turned up their noses at rabbit, because the rabbitwas not changed into lapin. (F)2. A good conversation has no focus at all. (F)3.The rulers of the Angevins and the Plantagenets spoke French. (T)4.The author agrees to what Auden said that all a writer needs is apen, plenty of paper and “the best dictionaries he can afford.”(F)5.Even the most educated and the most literate people do not use theKing’s English all the time in conversation. (T)6.The author is in favour of bilingual education. (T)7.There exists in the working people, different from the Saxonpeasants, a spirit of opposition to the cultural authority of theruling class. (F)8.Looking up the dictionary in the middle of a conversation will9.1.2.6.and sparkles or just glows. mixed metaphor7.The Elizabethans blew on it as on a dandelion clock, and its seedsmultiplied, and floated to the ends of the earth.extended simile 8.One would not have been engaged by interest in the musketeer whoraised the subject, wondering more about her. metonymy9.They are like the musketeers of Dumas who, ……the recesses of theirthoughts and feelings. simile/ allustion10. Who was right, who was wrong, did not matter. The conversation wason wings. metaphorVII. Translation:1.给我1000元钱,我也不愿处于你的地位。
一、选择题1.设()()2225322z t t t t i =+-+++,其中t ∈R ,则以下结论正确的是( ) A .z 对应的点在第一象限B .z 一定不为纯虚数C .z 对应的点在实轴的下方D .z 一定为实数 2.若a b 、为非零实数,则以下四个命题都成立:①10a a+≠;②()2222a b a ab b +=++;③若a b ,=则a b =±;④若2a ab =,则a b ,=则对于任意非零复数a b 、,上述命题中仍为真命题的个数为( )个. A .1 B .2 C .3 D .43.213(1)i i +=+( ) A .3122i - B .3122i + C .3122i -- D .3122i -+ 4.下列各式的运算结果为纯虚数的是A .(1+i)2B .i 2(1-i)C .i(1+i)2D .i(1+i) 5.“复数3i ia z -=在复平面内对应的点在第三象限”是“0a ≥”的 A .充分不必要条件 B .必要不充分条件C .充要条件D .既不充分也不必要条件 6.设i 是虚数单位,则2320192342020i i i i +++⋅⋅⋅+的值为( ) A .10101010i -- B .10111010i -- C .10111012i -- D .10111010i - 7.已知复数z 满足()()()1212i z i i -=++,则z 的共轭复数为( )A .1i --B .1i +C .55i +D .55i - 8.复数51i i-的虚部是( ) A .12 B .2i C .12- D .2i - 9.已知复数z 满足()2z i i i -=+,则z =( )A B C D 10.若11i ai ++是纯虚数(其中i 为虚数单位),则实数a 等于( ) A .1B .1-C .2D .2- 11.已知复数z 满足|z |=1,则|z +1-2i |的最小值为( )A 1BC .3D .212.设i 为虚数单位,a R ∈,“复数2202021a i z i =--不是纯虚数“是“1a ≠”的( ) A .充分而不必要条件 B .必要而不充分条件C .充分必要条件D .既不充分也不必要条件第II 卷(非选择题)请点击修改第II 卷的文字说明参考答案二、填空题13.设复数z 满足341z i --=,则z 的最大值是_______.14.设复数z 满足1z =,且使得关于x 的方程2230zx zx ++=有实根,则这样的复数z 的和为______.15.化简:2020201921i z i i ⎛⎫=+= ⎪ ⎪+⎝⎭________.16.在复平面内,复数(3)2a a z i =-+表示的点在直线y x =上,则z =_______. 17.在实数集R 中,我们定义的大小关系“>”为全体实数排了一个“序”.类似地,我们在复数集C 上也可以定义一个称为“序”的关系,记为“>”.定义如下:对于任意两个复数:()111222121212z a bi z a b i a a b b R z z =+=+∈,,,,,>当且仅当“12a a >”或“12a a =”且“12b b >”.按上述定义的关系“>”,给出以下四个命题:①若12z z >,则12z z >;②若1223z z z z >,>,则13z z >;③若12z z >,则对于任意12z C z z z z ∈++,>;④对于复数0z >,若12z z >,则12zz zz >.其中所有真命题的序号为______________.18.设b R ∈,i 是虚数单位,已知集合{}|2A z z i =-≤,{}11|1,B z z z bi z A ==++∈,若A B ⋂≠∅,则b 的取值范围是________. 19.已知复数z =a +3i 在复平面内对应的点位于第二象限,且|z|=2,则复数z 等于________.20.如果复数z 的模不大于1,而z 的虚部的绝对值不小于,则复平面内复数z 的对应点组成图形的面积是___.三、解答题21.已知m R ∈,复数2(1i)(5i 3)(46i)z m m =+-+-+,当m 为何值时,(1)z 为实数?(2)z 为虚数?(3)z 为纯虚数?(4)z 在复平面内对应的点在第四象限?22.已知1z i =+,i 为虚数单位.(1)若234z z ω=+-,求ω;(2)若2211z az b i z z ++=--+,求实数a ,b 的值.23.已知复数z 满足|z |=z 的实部、虚部均为整数,且z 在复平面内对应的点位于第四象限.(1)求复数z ;(2)若()22m m n i z --=,求实数m ,n 的值.24.已知复数z 满足z =,2z 的虚部为2,(1)求复数z ;(2)设22,,z z z z -在复平面上对应点分别为,,A B C ,求ABC ∆的面积. 25.已知复数z 使得2z i R +∈,2z R i∈-,其中i 是虚数单位. (1)求复数z 的共轭复数z ; (2)若复数()2z mi +在复平面上对应的点在第四象限,求实数m 的取值范围. 26.i 是虚数单位,且2(1)2(5)3i i a bi i-+++=+(,a b ∈R ). (1)求,a b 的值;(2)设复数1()z yi y R =-+∈,且满足复数()a bi z +⋅在复平面上对应的点在第一、三象限的角平分线上,求||z .【参考答案】***试卷处理标记,请不要删除一、选择题1.C解析:C【分析】根据()2222110t t t ++=++>,2253t t +-可正可负也可为0,即可判定.【详解】()2222110t t t ++=++>,z ∴不可能为实数,所以D 错误; z ∴对应的点在实轴的上方,又z 与z 对应的点关于实轴对称,z 对应的点在实轴的下方,所以C 正确;213,25302t t t -<<+-<,z 对应的点在第二象限,所以A 错误; 21,25302t t t =+-=,z 可能为纯虚数,所以B 错误; ∴C 项正确.故选:C【点睛】此题考查复数概念的辨析,关键在于准确求出实部和虚部的取值范围.2.B解析:B【解析】【分析】根据复数的概念和性质,利用复数的代数形式的运算法则,即可得出正确选项.【详解】解:对于①,当a i =时,10a a+=,即①不成立, 对于②,根据复数代数形式的运算法则,满足乘法公式,即②在正确,对于③,在复数C 中,1i =,则1,a b i ==时,a b ≠±,即③错误,对于④,根据复数代数形式的运算法则可得,若2a ab =,则a b ,=即④正确, 综上可得上述命题中仍为真命题的序号为②④,故选B.【点睛】本题考查了复数的概念和性质及复数的代数形式的运算法则,属基础题.3.A解析:A【分析】首先计算2(1)i +,之后应用复数的除法运算法则,求得结果.【详解】 ()21313312221ii i i i ++==-+, 故选A.【点睛】该题考查的是有关复数的运算,属于简单题目.4.A【分析】利用复数的四则运算,再由纯虚数的定义,即可求解.【详解】由题意,对于A 中,复数2(1)2i i +=为纯虚数,所以正确;对于B 中,复数2(1)1i i i ⋅-=-+不是纯虚数,所以不正确;对于C 中,复数2(1)2i i ⋅+=-不是纯虚数,所以不正确;对于D 中,复数(1)1i i i ⋅+=-+不是纯虚数,所以不正确,故选A.【点睛】本题重点考查复数的基本运算和复数的概念,属于基本题.首先对于复数的四则运算,要切实掌握其四则运算技巧和常规思路. 其次要熟悉复数相关基本概念是解答此类问题的关键,着重考查了推理与计算能力,属于基础题. 5.A解析:A【详解】 因为33ai z a i i-==--,所以由题设可得00a a -<⇒>,因此0a >是0a ≥的充分不必要条件,故应选答案A . 6.B解析:B【分析】利用错位相减法、等比数列的求和公式及复数的周期性进行计算可得答案.【详解】解:设2320192342020S i i i i =+++⋅⋅⋅+,可得:24201920320023420192020iS i i i i i =++++⋅⋅⋅++,则24201923020(1)22020i S i i i i ii -=++++⋅⋅⋅+-, 2019242019202023020(1)(1)202020201i i i S i i i i i i i i i i--=+++++⋅⋅⋅+-+-=-, 可得:2(1)(1)(1)20202020202112i i i i i S i i i i ++-=+-=+-=-+-, 可得:2021(2021)(1)1011101012i i i S i i -+-++===---, 故选:B.【点睛】本题主要考查等比数列的求和公式,错位相减法、及复数的乘除法运算,属于中档题. 7.A解析:A化简得到1z i =-+,再计算共轭复数得到答案.【详解】()()()1212i z i i -=++,故()()()()()()()()()121212131211212125i i i i i i i z i i i i +++++++====-+--+,故1z i =--. 故选:A .【点睛】本题考查了复数的化简,共轭复数,意在考查学生的计算能力.8.A解析:A【解析】【分析】由题意首先化简所给的复数,然后确定其虚部即可.【详解】 由复数的运算法则可知:51i i -()()()1111122i i i i i +==-+-+, 则复数51i i-的虚部是12. 本题选择A 选项.【点睛】本题主要考查复数的运算法则,虚部的定义等知识,意在考查学生的转化能力和计算求解能力.9.A解析:A【分析】首先求得复数z ,然后求解其共轭复数并确定模即可.【详解】 由题意可得:2211i z i i i i i +=+=-++=-,则1,z i z =+=故选A .【点睛】本题主要考查复数的运算法则,复数的模的计算等知识,意在考查学生的转化能力和计算求解能力. 10.B解析:B设11i bi ai+=+,化简后利用复数相等列方程求解即可. 【详解】 设()1,,1i bi a b R ai+=∈+, 所以()11i bi ai ab bi +=⋅+=-+,所以11ab b -=⎧⎨=⎩, 解得11a b =-⎧⎨=⎩, 故选:B .【点睛】本题主要考查复数的乘法运算,考查复数相等的性质,属于基础题.11.A解析:A【分析】 根据1z =分析出z 在复平面内的轨迹方程,再根据12z i +-的几何意义以及圆外一点到圆上点的距离最小值求法求解出结果.【详解】因为|||i |1z x y =+==,所以221x y +=,即z 在复平面内表示圆O :221x y +=上的点;又|12i ||(1)(2)i |z x y +-=++-,所以|12i |z +-表示圆O 上的动点到定点(12)A -,的距离,所以min |12i |z +-为||1OA r -=,故选:A .【点睛】 关键点点睛:解答本题的关键是理解1z =对应的轨迹方程以及掌握12z i +-的几何意义,将复数模的最值问题转化为点到点的距离最值问题. 12.A解析:A【分析】先化简z ,求出a ,再判断即可.【详解】()()2202022211112121211222a i a a i a z i i i i i +=-=-=-=-----+,z 不是纯虚数,则21022a -≠,所以21≠a ,即1a ≠±, 所以1a ≠±是1a ≠的充分而不必要条件.故选:A .【点睛】本题主要考查根据复数的类型求参数,考查充分条件和必要条件的判断,考查逻辑思维能力和计算能力,属于常考题.二、填空题13.6【解析】分析:先找到复数z 对应的点的轨迹再求的最大值详解:设复数则所以复数对应的点的轨迹为(34)为圆心半径为1的圆所以的最大值是故答案为6点睛:(1)本题主要考查复数中的轨迹问题意在考查学生对这 解析:6【解析】分析:先找到复数z 对应的点的轨迹,再求z 的最大值.详解:设复数(,)z x yi x y R =+∈,则22341,(3)(4)1x yi i x y +--=∴-+-=, 所以复数对应的点的轨迹为(3,4)为圆心半径为1的圆,所以z 1516=+=.故答案为6点睛:(1)本题主要考查复数中的轨迹问题,意在考查学生对这些基础知识的掌握水平和数形结合的思想方法.(2)z a bi r ++=表示以点(a,b)为圆心r 为半径的圆,不要死记硬背,直接化成直角坐标,就一目了然. 14.【分析】首先设(且)代入方程化简为再分和两种情况求验证是否成立【详解】设(且)则原方程变为所以①且②;(1)若则解得当时①无实数解舍去;从而此时或3故满足条件;(2)若由②知或显然不满足故代入①得所 解析:74- 【分析】首先设z a bi =+ (a ,b ∈R 且221a b +=),代入方程,化简为()()222320ax ax bx bx i +++-=,再分0b =和0b ≠两种情况求,a x 验证是否成立.【详解】设z a bi =+,(a ,b ∈R 且221a b +=) 则原方程2230zx zx ++=变为()()222320ax ax bx bx i +++-=.所以2230ax ax ++=,①且220bx bx -=,②;(1)若0b =,则21a =解得1a =±,当1a =时①无实数解,舍去;从而1a =-,2230x x --=此时1x =-或3,故1z =-满足条件;(2)若0b ≠,由②知,0x =或2x =,显然0x =不满足,故2x =,代入①得38a =-,8b =±,所以838z =-±.综上满足条件的所以复数的和为3371884⎛⎫⎛⎫-+-++--=- ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭. 故答案为:74-【点睛】思路点睛:本题考查复系数二次方程有实数根问题,关键是设复数z a bi =+后代入方程,再进行整理转化复数的代数形式,注意实部和虚部为0,建立方程求复数z . 15.【分析】利用的幂的性质化简即可得答案【详解】所以原式故答案为:【点睛】本题考查复数的计算合理利用常见结论可使计算简便如等等解析:1i --【分析】利用i 的幂的性质化简即可得答案.【详解】2019201633i i i i i =⋅==-,()1010202010102101010082222i 2i i i i 11i 2i 1i ⎡⎤⎛⎫-⎛⎫====⋅==-⎢⎥ ⎪ ⎪ ⎪+⎝⎭+⎢⎥⎝⎭⎣⎦,所以原式=1i --.故答案为:1i --.【点睛】 本题考查复数的计算.合理利用常见结论可使计算简便,如4i 1n =,41i i n +=,42i 1n +=-,43i i n +=-,()21i 2i +=,()21i 2i -=-,1i i=-等等. 16.【分析】根据复数几何意义列方程解方程得再根据共轭复数概念得结果【详解】解:由题意可得解得∴∴故答案为:【点睛】本题考查复数几何意义以及共轭复数概念考查基本分析求解能力属基础题解析:66i -【分析】根据复数几何意义列方程,解方程得9a =,再根据共轭复数概念得结果.【详解】解:由题意可得3a =-,解得9a =,∴66z i =+,∴66z i =-.故答案为:66i -【点睛】本题考查复数几何意义以及共轭复数概念,考查基本分析求解能力,属基础题. 17.②③【分析】根据新定义序的关系对四个命题逐一分析由此判断出真命题的序号【详解】对于①由于所以或且当满足但所以①错误对于②根据序的关系的定义可知复数的序有传递性所以②正确对于③设由所以或且可得或且即成解析:②③【分析】根据新定义“序”的关系,对四个命题逐一分析,由此判断出真命题的序号.【详解】对于①,由于12z z >,所以“12a a >”或“12a a =且12b b >”. 当121,2a a =-=-,满足12a a >但12z z <,所以①错误.对于②,根据“序”的关系的定义可知,复数的“序”有传递性,所以②正确.对于③,设z c di =+,由12z z >,所以“12a a >”或“12a a =且12b b >”,可得“12a c a c +>+”或“12a c a c +=+且12b d b d +>+”,即12z z z z +>+成立,所以③正确.对于④,当123,2,2z i z i z i ===时,126,4zz zz =-=-,12zz zz <,故④错误. 故答案为:②③【点睛】本小题主要考查新定义复数“序”的关系的理解和运用,考查分析、思考与解决问题的能力,属于基础题.18.【解析】【分析】根据复数的代数表示法及其几何意义可知集合A 表示的点的轨迹是以(01)为圆心半径为2的圆及内部;集合B 表示圆的圆心移动到了(11+b );两圆面有交点即可求解b 的取值范围【详解】由题意集解析:b ≤≤【解析】【分析】根据复数的代数表示法及其几何意义可知集合A 表示的点的轨迹是以(0,1)为圆心,半径为2的圆及内部;集合B 表示圆的圆心移动到了(1,1+b );两圆面有交点即可求解b 的取值范围.【详解】由题意,集合A 表示的点的轨迹是以(0,1)为圆心,半径为2的圆及内部; 集合B 表示点的轨迹为以(1,1+b )为圆心,半径为2的圆及内部∵A∩B≠∅,说明,两圆面有交点;∴4≤.可得:b ≤≤,故答案:b ≤≤,【点睛】本题考查复数几何意义,圆与圆的位置关系,体现了数学转化思想方法,明确A.B 集合的意义是关键,是中档题19.【分析】由题意可得a <0由|z|=2可得a 的方程解出即得【详解】∵z=a+i 在复平面内对应的点位于第二象限∴a <0由|z|=2得=2解得a=﹣1或1(舍去)∴z=﹣1+i 故答案为﹣1+i 【点睛】该题解析:【分析】由题意可得a <0,由|z|=2,可得a 的方程,解出即得.【详解】∵i 在复平面内对应的点位于第二象限,∴a <0,由|z|=2,解得a=﹣1或1(舍去),∴z=﹣.故答案为﹣【点睛】该题考查复数的模、复数代数形式的表示及其几何意义,属基础题.20.【解析】分析:先根据复数的模以及复数的虚部列不等式再根据扇形面积减去三角形面积得弓形面积详解:设则如图因此复平面内复数z 的对应点组成图形为两个弓形其面积为扇形面积减去三角形面积是点睛:本题重点考查复解析:2-32π 【解析】分析:先根据复数的模以及复数的虚部列不等式,再根据扇形面积减去三角形面积得弓形面积.详解:设(,)z x yi x y R =+∈11,2y ≤≥ ,如图,2.3AOB π∠=因此复平面内复数z 的对应点组成图形为两个弓形,其面积为扇形面积减去三角形面积是21212232(111sin )232332πππ⨯⋅-⨯⨯⨯=- 点睛:本题重点考查复数的基本运算和复数的概念,属于基本题.首先对于复数的四则运算,要切实掌握其运算技巧和常规思路,如()()()(),(,,.)++=-++∈a bi c di ac bd ad bc i a b c d R . 其次要熟悉复数相关基本概念,如复数(,)a bi a b R +∈的实部为a 、虚部为b 22a b +(,)a b 、共轭为.-a bi三、解答题21.(1)6m =或1m =-(2)6m ≠且1m ≠-(3)4m =(4)46m <<【分析】由题意得解得22(34)(56)z m m m m i =--+--,(1)由2560m m --=,求出m 即可;(2)2560m m --≠,即可得出m ; (3)由22340560m m m m ⎧--=⎨--≠⎩,解得m 范围; (4)根据象限特征,由22340560m m m m ⎧-->⎨--<⎩,解得m 范围. 【详解】解:()()()21i 5i 346i z m m =+-+-+=()()223456i m m m m --+--, (1)由2560m m --=得6m =或1m =-,即当6m =或1m =-时,z 为实数;(2)由2560m m --≠得6m ≠且1m ≠-,即当6m ≠且1m ≠-时,z 为虚数;(3)由22340{560m m m m --=--≠,,得4m =, 即当4m =时,z 为纯虚数;(4)由22340{560m m m m -->--<,,解得46m <<, 即当46m <<时,z 在复平面内对应的点在第四象限.【点睛】本题考查复数的有关概念及其运算法则、方程与不等式的解法,考查推理能力与计算能力.22.(1)ω;(2)12a b =-⎧⎨=⎩【分析】(1)求出1z i =+的共轭复数,代入234z z ω=+-化简,再求ω; (2)根据2211z az b i z z ++=--+,得到()()21a b a i i +++=+,列方程组即可求解. 【详解】(1)已知1z i =+,1z i ∴=-,()()213141i i i ω=++--=--∴,ω∴=(2)()()22211a b a z az b i z z i i+++++==--+, ()()21a b a i i ∴+++=+,121a b a +=⎧∴⎨+=⎩,解得12a b =-⎧⎨=⎩. 【点睛】此题考查复数的基本运算,涉及共轭复数,复数的模长,根据两个复数相等列方程组求解. 23.(1) 12z i =-或2i z =-.(2) 3m =±,5n =.【分析】(1)利用已知条件,设出复数z ,通过225(,)a b a b +=∈Z 及所对点所在位置求出即可复数z ;(2)利用(1),结合复数的乘法运算求解m ,n 的值【详解】(1)设(,)z a bi a b =+∈Z ,则225(,)a b a b +=∈Z ,因为z 在复平面内对应的点位于第四象限,所以0a >,0b <,所以12a b =⎧⎨=-⎩或21a b =⎧⎨=-⎩, 所以12z i =-或2i z =-.(2)由(1)知12z i =-或2i z =-,当12z i =-时,234z i =--;当2i z =-时234z i =-.因为()22m m n i z --=,所以234m m n =±⎧⎨-=⎩,解得3m =±,5n =. 【点睛】本题考查复数的模长公式,考查复数的乘法运算,考查计算能力,是基础题24.(1)1i +或1i --;(2)1【分析】(1)设z =a +bi (a ,b ∈R ),由已知列关于a ,b 的方程组,求解可得复数z ; (2)分类求得A 、B 、C 的坐标,再由三角形面积公式求解.【详解】解:(1)设z =a +bi (a ,b ∈R ),由已知可得:22ab ==⎪⎩2221a b ab ⎧+=⎨=⎩, 解得11a b =⎧⎨=⎩或11a b =-⎧⎨=-⎩. ∴z =1+i 或z =﹣1﹣i ;(2)当z =1+i 时,z 2=2i ,z ﹣z 2=1﹣i ,∴A (1,1),B (0,2),C (1,﹣1),故△ABC 的面积S 12=⨯2×1=1; 当z =﹣1﹣i 时,z 2=2i ,z ﹣z 2=﹣1﹣3i ,∴A (﹣1,﹣1),B (0,2),C (﹣1,﹣3),故△ABC 的面积S 12=⨯2×1=1. ∴△ABC 的面积为1.【点睛】 本题考查复数的乘方和加减运算,考查复数相等的条件和复数的几何意义,以及三角形的面积的求法,考查运算能力,属于中档题.25.(1)42i +;(2)()2,2-.【分析】(1)根据2z i R +∈、2z R i∈-,结合复数的加法、除法运算即可求出z ,进而由共轭复数的概念求得z ;(2) 复数()2z mi +在复平面上对应的点在第四象限,即对应复数的实部、虚部都小于0,解不等式即可求得m 的范围【详解】(1)设(),z x yi x y R =+∈,则()22z i x y i +=++∵2z i R +∈∴2y =- 又22242255z x i x x i R i i -+-==+∈--, ∴4x = 综上,有42z i =- ∴42z i =+(2)∵m 为实数,且()()()()2224212482z mi m i m m m i +=+-=+-+-⎡⎤⎣⎦ ∴由题意得()21240820m m m ⎧+->⎪⎨-<⎪⎩,解得22m -<< 故,实数m 的取值范围是()2,2-【点睛】本题考查了复数,利用复数的四则运算及共轭复数的概念求复数,另外依据复数所处的象限求参数范围26.(1)3,1a b ==-(2【解析】分析:(1)由复数的四则运算可化简复数,再由复数相等可知实部与虚部都要相等,可求得,a b .(2)由复数的乘法运算可化简复数式为标准式,再由复数在第一、三象限的角平分线上可知复数实部等于虚部,求得参数y,再由复数模公式求得复数模.详解:(1)∵()()21253i i a bi i -+++=+ 1033i i==-+ , 又∵,a b R ∈ ∴3,1a b ==-(2)()()()31a bi z i yi +⋅=--+()()331y y i =-+++由题意可知:331y y -+=+,解得2y =-∴z ==点睛:本题主要考查复数四则运算与乘方综合运算和复数相等,及复数与坐标对应关系,及复数的模.。
NCE2 L1-L24 TESTName_____________ Score____________Part one Multiple choice 20marks1.The movie was very___ she was really ___ in it.A. interest; interestingB. interested; interestedC. interesting; interestedD. interest; interests2. The play ____ finish ____ nine last night.A. not, untilB. didn’t, untilC. doesn’t untilD. not, until3. Sherry didn’t know what to do at the beginning; but she made a _____ at last.A. decideB. decidesC. decidingD. decision4. Jean spent fifty hours ___ the book.A. readingB. to readC. in readD. read5. What is the ____ between this table and that one?A. differentB. differentsC. differencesD. difference6. Juan has _____ a new bike.A. buyB. buyingC. buysD. bought7. There is ____ milk in the bottle, but there is ______ fly in it.A. a; aB. some, aC. some, aD. any, a8. He _______ TV when his father came in.A. was watchedB. watchingC. was watchD. was watching9. Tony runs fast; Jack runs ____ ; Tim runs ____.A. faster, fastestB. fast, fastC. fast, fasterD. faster, faster10. Helen arrived ___ London airport ____ the morning of June 7.A. in, onB. at, onC. at, atD. at, in11. Don’t ____ other people’s mistakes.A. laughB. laugh atC. laughD. laugh in12. We are not ____ touch that machine.A. allowed,B. allowed toC. allow toD. allowing13. To _______ he won the match at last.A. my surprisedB. my surprisingC. my surpriseD. my surprises14. It was _____ in Japan.A. makeB. madeC. makesD. making15. Jerry was a ___ man.A. luckB. luckyC. luckingD. lucked16. Please don’t call me at 9:30 tomorrow morning; I ____ at that time.A. will be have a meetingB. will be has a meetingC. will have a meetD. will be having a meeting17. Neither of them ___ a doctor.A. isB. areC. wereD. be18. If you ____ the book tomorrow, you will be very happy.A. will readB. will readingC. will be readingD. read19. She ____ read fifty poems when she was only five.A. canB. couldC. mayD. must20 She ___ last year.A. give up smokingB. give up smokeC. gave up smokingD. give up smokingPart two Cloze 10marksMr. White works in an office. He liked 1 in bed when he was at school. It was bad for his eyes and now he has near sight. But he wouldn't like anybody else to know about _2_and he never wears a pair of glasses, and it often _3_ him some trouble.One winter morning he was sent to a village school on business. He _4_the bus at a stop in a small town. Then he had to _5_ there. The road to the village wasn't smooth(平坦). He fell over some times and it made his clothes dirty. When he_6_ got to the village, it began to blow and it got _7_. He was looking for the school while his _8_was blown off. He began to run after it but he couldn't get it. He couldn't understand why his hat ran into a house as if it had __9__. And he ran into the house, too. A woman stopped him and shouted angrily, "_10_are you running after my hen for?"Choose the best answer according to the passage1. A. reading B. dancing C. singing D. writing2. A. these B those C. them D. it3. A. follows B takes C. brings D. carries4. A. took off B got off C. got on D. come on5. A. ride B drive C. walk D. fly6. A. At first B .At home C. At times D. At last7. A. hotter B. warmer C. colder D .cooler8. A. clothes B. bag C. hat D. glasses9. A. legs B. hands C. shoes D. arms10. A. What B. Why C. Which D. WhoPart three Readings 20 marks(1)One day a big rock fell down from a mountain. The rock stopped in the middle of the road in a village. It was like a big ball. Some of the strongest men in the village tried to move the rock. But no matter how hard they tried, they couldn't move it away. They tried to push it; they tried to roll it and they tried to pull it with a rope, but nothing worked."Well" they agreed, "there's nothing we can do about it. We'll have to build another road. "At this time, a young boy of about 12 years old said, "Excuse me, sirs, but I think I can help you move the rock. ""You?" they shouted, "What are you talking about? All of us have just tried and we can't move it at all.” The men all laughed at the boy.The next morning some people came into the street. One of them shouted, "The rock is gone!" More people ran out into the street to see for themselves. It was true, and no one could see it anywhere."It is impossible, where has it gone?" they said. The boy stood out, saying "I did it last night. I dug a deep hole next to the rock and the rock rolled down into the hole by itself. Then I covered it with earth.1. Where was the big rock from?A. a streetB. a mountainC. a hillD. a tree2. Why did the people in the village want to move the rock away? Because .A. it was in the middle of the roadB. it was on the mountainC. they didn't like the rockD. they wanted to build a road3. What did the people decide to do when they were not able to move the rock away?They decided to_______A. find someone stronger to help them C. ask a little boy of 12 to help themB. build another road D. break the rock4. Why did the people laugh at the boy? They thought that___.A. the boy was too weak to move the rock awayB. the boy was so strong that he could move the rockC. the boy was very helpfulD. it was easy for him to move the rock5. The next morning the people in the village found the rock ____A. disappearedB. was still thereC. was back on the mountain againD. was rolling down from the mountain(2)Some ants make their homes under a stone. If the weather is warm, you may see many ants under the stone. If the weather is cold, many ants will be in their house under the ground.Most of the ants are workers. They are very busy. They look for food and take care of the young ants. Each family of ants has a queen ant. Thequeen ant doesn't work. She is important because she lays eggs. Those eggs will become baby ants.There are many kinds of ants in America. One kind of these is very strong. People are afraid of it, and animals are afraid of it, too.These ants move in groups. They eat all the animals on their way. They can kill and eat elephants, and they can eat wooden houses. When the ants come near, people leave their homes. But people are sometimes glad after the ants pass through, because they will see no other insects or snakes.1. Where can you find ants on warm days?A. Under the ground.B. On the ground.C. Inside people's houses.D. Under a stone.2. Why is a queen ant more important than a worker ant? Because _- __A. a queen ant produces the youngB. a queen ant is stronger than all the other family membersC. a queen ant finds food for all the other family membersD. a queen ant does more work than all the other family members3. Where can you find many kinds of ants according to the passage?A. In America.B. In China.C. In Canada.D. In Britain.4. Why are people glad after the dangerous ants pass through?A. Because they are goneB. Because they are not dangerous any moreC. Because there are no other insects or snakesD. Because the ants can be eaten5. Which of the following is true?A. People are not afraid of any kind of ant.B. Big animals are not afraid of any kind of ant.C. An elephant can kill and eat a kind of very strong ant.D. One kind of ants moves in groups.Part four Choose correct word to fill in the blanks 15marksEnjoy spent salary waste appear polite afford lift proud famous1. It is a _________ of time to do that kind of thing.2. She ___________ five days on the work.3. We waited and waited, but the little mouse didn’t ________.4. Hugh didn’t _____ watching that film.5. John works in a foreign company but he doesn’t get a good ________.6. Chong qing is ______ for its hot pot.7. When he was driving along the mountain road, a boy asked him for a ____8. The house is so expensive that Sherry can’t _____ it.9. Sharon is a ______ girl. She always smiles when she speaks to others.10. The boy’s parents are ________ of him; he always studies hard .Park six Sentence connecting 10 marks1. A new road paved has been workers by___________________________________________________________2. goodbye will say I him to next Friday morning __________________________________________________________.2. that boy games very much playing likes.__________________________________________________________.3 Helen’s father’s friends of friendly are to her__________________________________________________________.4 letters more will a little cost but certainly they will faster travel__________________________________________________________.5 my grandfather buy the television was many years ago by__________________________________________________________.Part seven Writing 10marksRead this note from your friend Tom. Reply to this note.Let’s meet for dinner near your house on Saturday.Where shall we eat? What time can you come? Where can I park my car?Dear Tom,。
2006--2007年小学语文第二册综合练习题(6)姓名______________ 得分______________k àn p īn y īnxi ě h ànz ì 一、看 拼 音 写 汉 字。
(18分)ān qu án h ǎo y àng qi án mi àn zh â bi ānb ǐ yi ì b ǐ z ǔ ch ãn ɡc í y ǔ 二、比 一 比 ,组 成 词 语。
(16分)瓜( ) 尘( ) 休( ) 朋( ) 爪( ) 尖( ) 体( ) 明( ) 过( ) 直( ) 法( ) 村( ) 这( ) 真( ) 去( ) 对( ) xi à mi àn de c í y ù z ãn y àn ɡ d ā p âi qi à d àn ɡ y în ɡ xi àn li án q í l ǎi 三、下 面 的 词 语 怎 样 搭 配 恰 当,用 线 连 起 来。
(4分)一 只羊 角 写 桌 子一 对兔 子 收 作 文一 根种 子 吃 谷 子b àn ɡc ā 一 粒 木 棒 擦 水 果d ǔ j ù z í ji ā sh àn ɡ bi āo di ǎn 四、读 句 子 加 上 标 点。
(3分)1、你数得清天上的星星吗2、天空中有无数的星星cái hónɡ3、彩虹多美呀yînɡ xià miàn piān pánɡ bù shǒu de zìɡâ xiě sān ɡâ zì五、用下面偏旁部首的字各写三个字。
New Concept English BookⅡ一、单项选择1. the teacher at this college last year ? Yes, he did.A. Did, taughtB. does, teachC. Did, teach D Do,teach2、I went to the supermarket and bought a great manyA.tomatoesB.potatosC.vegetablesD.meat3、He until it stopped raining.A.waitedB. didn't waitC. didn’t leaveD.left4、For the whole period of two months, there no rain in this area.B.will beC.has beenD.have been5、——Hey, how are you getting with your girlfriend?——A .It’s none of your business! B.Dear me!C .Take it easy. D.Enjoy yourself.6、A great number of students fond of films, but a good student seldom to the cinemaA. are,goesB. is,goesC. are,goD. is,go7、If their house not like ours, what it look like?A.is, isB.is, doesC.does, doesD.does, is8. I’m _______ in that ________ filmA. interesting, interestedB. interested, interestingC. interested, interestedD. interesting, interesting9. ------ Hurry up! We have little time!------ I ____________.A. will comeB. comeC. shall comeD. am coming10. -------_____________?-------I am Italian.A.What’s your jobB. What’s your nameC. What nationality are youD.Where do you from11. I don’t have ______writing paper, I only have _____chalk s.A. any, anyB. any, someC. some, someD.some,any12. Look, the little dog ______after a big cat!A. runsB. is runningC. is going to runD.is runing13. It’s very cold. _______ your coat.A. Take offB. Put onC. Turn onD.Put off14.The man could not bear it.He could not it.A.carry15.Just then,the telephone rang.It rang .A.at onceB.immediatelyC.againD.at that moment16.On the last day he made a big dicision.It was the day of his holiday.17.He calls at every house in the street.He everyone.A.shouts atB.callsC.cries out at18.The detectives were a valuable parcel of diamonds.B.waitingC.expecting forD.expecting to19.The man is fond of gardens. .A.They like himB.They like to himC.He likes themD.He likes they20.How many times did the clock .A.hitB.beatC.knock二、Change the sentences with what or what a(n)21. It was very hot yesterday.What a hot day it was yesterday!22. It is so coldWhat cold weather it is!23. You have such an old bike.What an old bike you have!24. The book Tom is reading is very interesting.What an interesting book Tom is reading!25. We live in a very noisy place.What a noisy place we live in!三、用over, between, along, in front of, behind, 或across 等介词或介词短语填空26. A lot of birds are flying ___over____ the river.27. The teacher is standing _____in front of_______ the blackboard.28. I am running __along_____ the Great Wall(长城).29. They are swimming __across____ the river.30. I am sitting ____between_____my brother and my sister.四、用所给单词的适当形式填空:31、He is not very friendly (friend) towards newcomers(新来的).32、She slammed the telephone down angrily (angry).33、It was a sudden decision (decide)34、She works for that restaurant as a waitress (waiter)35、She is very excited (exciting) about winning the first prize.36、What have you been done lately (late).37、We are very pleased (please) with our new house.38、She rarely ( rare) visited her aunt.39、“What do you want?”She asked rudely (rude)40、I had a long conversation (converse) with her the other day〔不久前一天〕.五、词组互译41、none of your business 与你无关42、破坏我的假日spoil my holiday43、在回家的路上on the way back home44、by the way 顺便说一下45、今天就到此为止let’s call it today六、阅读理解How many different languages are spoken in the world today? There are about 5,000 different languages. Nearly 900 languages are spoken in India.Chinese is the language spoken by the biggest number of people in the world.But the most widely spoken language in the world is English.300,000,000 people speak English as a first language.Nearly twice as many--about 650 million people speak it as a foreign language.How many words are there in the English language? There are about 490,000.Also,there are about 300,000 words used in science(科技).There are more words in English than in any other language.But most people use no more than 60,000 words.Children,leaving school at the age of 1 6,know about 1 5,000 words.1.The Chinese language is spoken ________.A.in most countries in the worldB.in 600 countriesC.by the biggest number of people in the world2.About 650 million people speak English as________.A.a first languageB.well as the native speakersC.a second language3.Only ________ English words are used by most people.A.six thousandB.three hundred thousandC.sixty thousand4.Children ________ know about 15,000 words.A.who start school at the age of 6B.who study at schoolC.who finish school at sixteen5.Which of the following is true’A.There are no more than 5,000 different languages in the world.B.English is the most widely-used language.C.The Indian people speak 800 languages.One day a poor student was walking through a town. He had not had anything to eat for several days and he was very hungry. And when he saw a man selling homemade hamburgers, he let out a scream and fell to the ground. When the surprised seller asked the student what the matter was, the student answered, “I don’t like hamburgers. In fact, I hate them. Whenever I see them, I feel ill and can’t eat.”The hamburger seller then thought that he would play a joke on the student. He put ten hamburgers in the comer of a room and then locked the student in it. After a short time, the hamburger seller opened the door of the room. He was surprised to find that the student had eaten all the hamburgers. The student ex plained. “For some strange reason, I suddenly decided that I liked hamburgers.”The hamburger seller was angry that the student had fooled him. He asked what other things he did not like to eat. “Oh, I like everything, ”answered the student, “Except at the moment Iwould hate to drink two cups of good strong tea!”6. The student was very hungry because .A.he was illB.he had not eaten for a long timeC.he saw the hamburgers7. The hamburger seller wanted to the student.A.help B,pull up C.play a joke on8. The hamburger seller was surprised to find the student had eaten hamburgers.A.tenB.fiveC.two9. In fact, .A.the seller wanted to sell some hamburgers to the studentB.the student really hated hamburgersC.the student fooled the hamburger seller10. The student .A.wanted some teaB.didn’t like teaC.hated strong teaGeorge works in a factory. He was born in a very poor family and was in school for only four years. He has to do the hard work, but he is paid less because of this. He likes to watch football matches very much and spends much time on it.One evening there was a big football match on a playground. He borrowed some money from his friend and hurried there. There were a lot of people there. And all the tickets were sold out. He was sorry for it. He saw a pole(电线杆)outside the playground and climbed it up quickly. A policeman came and said. “It’s dangerous to stay on it! Come down!”“Wait a minute, please!” George sa id and just at that moment the policeman heard cheers in the playground and asked in a hurry. “Which team has kicked a goal?” “Ours!” “Wonderful!You can stay there. But take care!” the policeman said happily and left. When the match would soon be over, he came back again and asked,“Who’s won?” “Theirs, 3-2.” “Come down, ”the policeman said a ngrily, “Such a match isn’t worth watching!”George had to come down. But soon they heard cheers again. The policeman said in a hurry, “Climb up quickly and see who’s kicked a goal!”11. George is paid less because he didn’t learn much when he was young.A.RightB.WrongC.Doesn’t say12. George climbed up the pole because he hoped to save some money.A.RightB.WrongC.Doesn’t say13. The policeman soon changed his mind at the first time because he thought it was safe for George to be on the pole.A.RightB.WrongC.Doesn’t say14. The policeman became angry when he heard their team had lost the game.A.RightB.WrongC.Doesn’t say15. Both George and the policeman are football fans.A.RightB.WrongC.Doesn’t say七、完型填空Mrs. Williams loved flowers and had a small __1__ beautiful garden.In the summer,her roses were always the __2__ in her street.0ne summer afternoon her __3__ rang,and when she went to the front door,she saw a small boy outside.He was about seven years old.and was holding a big bunch(束)of beautiful roses in his hand.“I __4__ roses, ” he said.“Do you want any? They are quite cheap.One shilling __5__ a big bunch.They are fresh(新鲜).I __6__ them this afternoon.” ’“My boy,” Mrs. Williams answered,“I pick __7__ whenever I want,and don’t pay __8__ for them,because I have lots in my garden.”“Oh,no,you haven’t,”said the small boy.“The re __9__ any roses in your garden ----__10__ they are here in my hand!”1.A and B or C but2.A better B worst C best3.A bell B telephone C door4.A sell B sold C am selling5.A for B by C in6.A brought B took C picked7.A flowers B roses C a flower8.A nothing B something C anything9.A haven't B won’t C aren’t10.A so B and C because。
高一数学必修第二册全册复习测试题卷(共22题)一、选择题(共10题)1. 向量 a ⃗=(1,2),b ⃗⃗=(2,λ),且 a ⃗⊥b ⃗⃗,则实数 λ= ( ) A . 3 B . −3 C . 7 D . −12. 袋中共有完全相同的 4 只小球,编号为 1,2,3,4,现从中任取 2 只小球,则取出的 2 只球编号之和是偶数的概率为 ( ) A . 25B . 35C . 13D . 233. 下列命题正确的是 ( ) A .三点确定一个平面B .一条直线和一个点确定一个平面C .圆心和圆上两点可确定一个平面D .梯形可确定一个平面4. 复数 1+i 2= ( ) A . 0B . 2C . 2iD . 1−i5. 已知 ∣a ⃗∣=1,∣b ⃗⃗∣=2,a ⃗ 与 b ⃗⃗ 的夹角为 π3,则 a ⃗⋅b ⃗⃗ 等于 ( ) A . 1B . 2C . 3D . 46. 已知平面向量 a ⃗=(1,x ),b ⃗⃗=(y,1),若 a ⃗∥b ⃗⃗,则实数 x ,y 一定满足 ( ) A .xy −1=0B .xy +1=0C .x −y =0D .x +y =07. 在平行四边形 ABCD 中,A (1,2),B (3,5),AD ⃗⃗⃗⃗⃗⃗=(−1,2),则 AC ⃗⃗⃗⃗⃗⃗+BD ⃗⃗⃗⃗⃗⃗⃗= ( ) A . (−2,4)B . (4,6)C . (−6,−2)D . (−1,9)8. 若 AB ⃗⃗⃗⃗⃗⃗=(1,1),AD ⃗⃗⃗⃗⃗⃗=(0,1),BC ⃗⃗⃗⃗⃗⃗+CD ⃗⃗⃗⃗⃗⃗=(a,b ),则 a +b = ( ) A . −1B . 0C . 1D . 29. 已知直线 a 在平面 γ 外,则 ( ) A . a ∥γ B . a 与 γ 至少有一个公共点 C . a ∩γ=AD . a 与 γ 至多有一个公共点10. 下列四个长方体中,由图中的纸板折成的是 ( )A.B.C.D.二、填空题(共6题)11.思考辨析判断正误当向量的始点在坐标原点时,向量的坐标就是向量终点的坐标.( )12.复数加法与减法的运算法则设z1=a+bi,z2=c+di(a,b,c,d∈R)是任意两个复数,则(1)z1+z2=;(2)z1−z2=.13.利用“斜二测”法作多面体直观图时,需考虑个方向上的尺度.14.若向量a⃗与b⃗⃗的夹角为120∘,且∣a⃗∣=1,∣∣b⃗⃗∣∣=1,则∣∣a⃗−b⃗⃗∣∣=.15.当时,λa⃗=0⃗⃗.16.“直线a经过平面α外一点P”用集合符号表示为.三、解答题(共6题)=bsinA.17.△ABC的内角A,B,C的对边分别为a,b,c,已知asin A+C2(1) 求B;(2) 若△ABC为锐角三角形,且a=2,求△ABC面积的取值范围.18.画出如图水平放置的直角梯形的直观图.19.按图示的建系方法,画出水平放置的正五边形ABCDE的直观图.20. 根据图形用符号表示下列点、直线、平面之间的位置关系.(1) 点 P 与直线 AB ; (2) 点 C 与直线 AB ; (3) 点 M 与平面 AC ; (4) 点 A 1 与平面 AC ; (5) 直线 AB 与直线 BC ; (6) 直线 AB 与平面 AC ; (7) 平面 A 1B 与平面 AC .21. 有 4 条长为 2 的线段和 2 条长为 a 的线段,用这 6 条线段作为棱,构成一个三棱锥.问 a为何值时,可构成一个最大体积的三棱锥,最大值为多少?22. 类似于平面直角坐标系,我们可以定义平面斜坐标系:设数轴 x ,y 的交点为 O ,与 x ,y 轴正方向同向的单位向量分别是 i ⃗,j ⃗,且 i ⃗ 与 j ⃗ 的夹角为 θ,其中 θ∈(0,π2)∪(π2,π).由平面向量基本定理,对于平面内的向量 OP ⃗⃗⃗⃗⃗⃗,存在唯一有序实数对 (x,y ),使得 OP ⃗⃗⃗⃗⃗⃗=xi ⃗+yj ⃗,把 (x,y ) 叫做点 P 在斜坐标系 xOy 中的坐标,也叫做向量 OP⃗⃗⃗⃗⃗⃗ 在斜坐标系 xOy 中的坐标.在平面斜坐标系内,直线的方向向量、法向量、点方向式方程、一般式方程等概念与平面直角坐标系内相应概念以相同方式定义,如 θ=45∘ 时,方程x−24=y−1−5表示斜坐标系内一条过点 (2,1),且方向向量为(4,−5)的直线.),a⃗=(2,1),b⃗⃗=(m,6),且a⃗与b⃗⃗的夹角为锐角,求实数m的取值(1) 若θ=arccos(−13范围;(2) 若θ=60∘,已知点A(2,1)和直线l:3x−y+2=0.①求l一个法向量;②求点A到直线l的距离.答案一、选择题(共10题)1. 【答案】D【解析】由a⃗⊥b⃗⃗,所以有a⃗⋅b⃗⃗=1×2+2×λ=0⇒λ=−1.【知识点】平面向量数量积的坐标运算2. 【答案】C【解析】在编号为1,2,3,4的小球中任取2只小球,则有{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},共6种取法,则取出的2只球编号之和是偶数的有{1,3},{2,4},共2种取法,即取出的2只球编号之和是偶数的概率为26=13,故选:C.【知识点】古典概型3. 【答案】D【解析】由不共线的三点确定一个平面,故A错误;由一条直线和该直线外一点确定一个平面,故B错误;当圆心和圆上两点在圆的直径上,不能说明该三点确定一个平面,故C错误;由于梯形是有一组对边平行的四边形,可得梯形确定一个平面,故D正确.故选:D.【知识点】平面向量的概念与表示4. 【答案】A【解析】因为i2=−1,所以1+i2=0.故选:A.【知识点】复数的乘除运算5. 【答案】A【解析】a⃗⋅b⃗⃗=∣a⃗∣∣b⃗⃗∣cosπ3=1×2×cosπ3=1.【知识点】平面向量的数量积与垂直6. 【答案】A【解析】因为a⃗∥b⃗⃗,所以1×1−xy=0,即xy−1=0.【知识点】平面向量数乘的坐标运算7. 【答案】A【解析】在平行四边形ABCD中,因为 A (1,2),B (3,5),所以 AB⃗⃗⃗⃗⃗⃗=(2,3), 又 AD ⃗⃗⃗⃗⃗⃗=(−1,2), 所以 AC ⃗⃗⃗⃗⃗⃗=AB ⃗⃗⃗⃗⃗⃗+AD ⃗⃗⃗⃗⃗⃗=(1,5),BD ⃗⃗⃗⃗⃗⃗⃗=AD ⃗⃗⃗⃗⃗⃗−AB ⃗⃗⃗⃗⃗⃗=(−3,−1), 所以 AC ⃗⃗⃗⃗⃗⃗+BD ⃗⃗⃗⃗⃗⃗⃗=(−2,4), 故选A .【知识点】平面向量和与差的坐标运算8. 【答案】A【解析】 BC ⃗⃗⃗⃗⃗⃗+CD ⃗⃗⃗⃗⃗⃗=BD ⃗⃗⃗⃗⃗⃗⃗=AD ⃗⃗⃗⃗⃗⃗−AB⃗⃗⃗⃗⃗⃗=(0,1)−(1,1)=(−1,0), 故 a =−1,b =0, 所以 a +b =−1.【知识点】平面向量和与差的坐标运算9. 【答案】D【解析】直线在平面外,故直线与平面相交或直线与平面平行,直线 a 与平面 γ 平行时没有公共点,直线 a 与平面 γ 相交时有一个公共点,故选D . 【知识点】直线与平面的位置关系10. 【答案】A【解析】根据题图中纸板的形状及特殊面的阴影部分可以判断B ,C ,D 不正确,故选A . 【知识点】棱柱的结构特征二、填空题(共6题) 11. 【答案】 √【知识点】平面向量和与差的坐标运算12. 【答案】 (a +c)+(b +d)i ; (a −c)+(b −d)i【知识点】复数的加减运算13. 【答案】三【知识点】直观图14. 【答案】 √3【解析】因为向量 a ⃗ 与 b ⃗⃗ 的夹角为 120∘,∣a ⃗∣=1,∣∣b ⃗⃗∣∣=1,所以 a ⃗⋅b ⃗⃗=∣a ⃗∣∣∣b ⃗⃗∣∣cos120∘=−12,因此 ∣∣a ⃗−b ⃗⃗∣∣=√(a ⃗−b ⃗⃗)2=√∣a ⃗∣2+∣∣b ⃗⃗∣∣2−2a⃗⋅b ⃗⃗=√1+1+1=√3. 【知识点】平面向量的数量积与垂直15. 【答案】 λ=0 或 a ⃗=0⃗⃗【解析】若 λa ⃗=0⃗⃗,则 λ=0 或 a ⃗=0⃗⃗.【知识点】平面向量的数乘及其几何意义16. 【答案】 P ∈a ,P ∉α【知识点】平面的概念与基本性质三、解答题(共6题) 17. 【答案】(1) asinA+C 2=bsinA ,由正弦定理 sinAsinA+C 2=sinBsinA .因为 A ,B ,C 是 △ABC 的内角,sinA ≠0, 所以 sin A+C 2=sinB =sin (π−B )=sin (A +C ), 所以 sinA+C 2=2sinA+C 2cosA+C 2,因为 0<A +C <π, 所以 0<A+C 2<π2.所以 sinA+C 2≠0,cosA+C 2=12,A+C 2=π3,所以 A +C =2π3,B =π−(A +C )=π−2π3=π3(2) 由正弦定理得 asinA =bsinB =csinC =2sinA , 所以 c =2sinC sinA,由三角形内角和知 A +C =120∘, 所以 C =120∘−A , 所以 c =2sin (120∘−A )sinA=√3tanA+1,又 △ABC 为锐角三角形, 所以 120∘−A <90∘ 且 A <90∘, 即 30∘<A <90∘, 又 S △ABC =12acsinB =12ac ×√32=√32c =√32×(√3tanA +1),30∘<A <90∘,因为30∘<A<90∘,所以tanA>√33,得√3tanA <3,即1<√3tanA+1<4,所以S△ABC=√32×(√3tanA+1)∈(√32,2√3).【知识点】正弦定理18. 【答案】(1)在已知的直角梯形OBCD中,以OB所在直线为x轴,垂直于OB的腰OD所在直线为y轴建立平面直角坐标系.画出相应的xʹ轴和yʹ轴,使∠xʹOʹyʹ=45∘,如图①②所示.(2)在xʹ轴上截取OʹBʹ=OB,在yʹ轴上截取OʹDʹ=12OD,过点Dʹ作xʹ轴的平行线l,在l上沿xʹ轴正方向取点Cʹ,使得DʹCʹ=DC.连接BʹCʹ,如图②所示.(3)所得四边形OʹBʹCʹDʹ就是直角梯形OBCD的直观图,如图③所示.【知识点】直观图19. 【答案】画法:(1)在图①中作AG⊥x轴于G,作DH⊥x轴于H.(2)在图②中画相应的xʹ轴与yʹ轴,两轴相交于点Oʹ,使∠xʹOʹyʹ=45∘.(3)在图②中的xʹ轴上取OʹBʹ=OB,OʹGʹ=OG,OʹCʹ=OC,OʹHʹ=OH,yʹ轴上取OʹEʹ=1 2OE,分别过Gʹ和Hʹ作yʹ轴的平行线,并在相应的平行线上取GʹAʹ=12GA,HʹDʹ=12HD.(4)连接AʹBʹ,AʹEʹ,EʹDʹ,DʹCʹ,并擦去辅助线GʹAʹ,HʹDʹ,xʹ轴与yʹ轴,便得到水平放置的正五边形ABCDE的直观图五边形AʹBʹCʹDʹEʹ(如图③).【知识点】直观图20. 【答案】(1) 点P∈直线AB.(2) 点C∉直线AB.(3) 点M∈平面AC.(4) 点A1∉平面AC.(5) 直线AB∩直线BC=点B.(6) 直线AB⊂平面AC.(7) 平面A1B∩平面AC=直线AB.【知识点】点、线、面的位置关系、直线与平面的位置关系、平面与平面的位置关系、直线与直线的位置关系21. 【答案】构成三棱锥,这6条线段作为棱有两种摆放方式.(1)2条长为a的线段放在同一个三角形中.如图所示,不妨设底面 BCD 是一个边长为 2 的正三角形.欲使体积达到最大,必有 BA ⊥底面BCD ,且 BA =2,AC =AD =a =2√2, 此时 V =13×√34×22×2=23√3.(2)2 条长为 a 的线段不在同一个三角形中,此时长为 a 的两条线段必处在三棱锥的对棱,不妨设 AD =BC =a ,BD =CD =AB =AC =2. 取 BC 中点 E ,连接 AE ,DE (见下图).则 AE ⊥BC,DE ⊥BC ⇒BC ⊥平面AED ,V =13S △AED ⋅BC , 在 △AED 中,AE =DE =√4−a 24,AD =a ,S △AED =12a √4−a 24−a 24=12a √4−a 22,所以 V =16a 2√4−a 22=16√a 2a 2(16−2a 2)⋅14,由均值不等式 a 2a 2(16−2a 2)≤(163)3,等号当且仅当 a 2=163时成立,即 a =43√3, 所以此时 V max =16√(163)3⋅14=1627√3.【知识点】棱锥的表面积与体积22. 【答案】(1) 由已知 a ⃗=2i ⃗+j ⃗,b ⃗⃗=mi ⃗+6j ⃗,且 a ⃗⋅b ⃗⃗=2m +6+(12+m )(i ⃗⋅j ⃗)=53m +2>0,得 m >−65;若 a ⃗ 和 b ⃗⃗ 同向,则存在正数 t ,使得 t (2i ⃗+j ⃗)=mi ⃗+6j ⃗, 由 i ⃗ 和 j ⃗ 不平行得,{2t =m t =6 得 m =12.故所求为 m >−65,m ≠12.(2) ①方程可变形为x−01=y−23,方向向量为 d⃗=(1,3), 设法向量为 n ⃗⃗=(a,b ),由 n ⃗⃗⋅d ⃗=0 得 a +3b +12(3a +b )=52a +72b =0, 令 a =−7,b =−5,n ⃗⃗=(−7,5);②取直线 l 上一点 B (0,2),则 BA⃗⃗⃗⃗⃗⃗=(2,−1),所求为 ∣∣BA ⃗⃗⃗⃗⃗⃗⋅n ⃗⃗∣∣∣n⃗⃗∣=∣√(⃗+5j ⃗)2=7√3926.【知识点】直线的点法向式方程(沪教版)、平面向量数量积的坐标运算。
New Concept English Book Ⅱ一、单项选择一、单项选择 1. the teacher at this college last year ? Yes, he did. A. Did, taught B. does, teach C. Did, teach D Do,teach 2、I went to the supermarket and bought a great many A.tomatoes B.potatos C.vegetables D.meat 3、He until it stopped raining. A.waited B. didn't wait C. didn ’t leave D.left 4、For the whole period of two months, there no rain in this area. A.is B.will be C.has been D.have been 5、——Hey, how are you getting with your girlfriend? ————A .I t’s none of your business! It’s none of your business! B.Dear me! C .Take it easy. D.Enjoy yourself. 6、A great number of students fond of films, but a good student seldom to the cinema A. are,goes B. is,goes C. are,go D. is,go 7、If their house not like ours, what it look like? A.is, is B.is, does C.does, does D.does, is 8. I’m _______ in that ________ filmA. interesting, interested B. interested, interesting C. interested, interested D. interesting, interesting 9. ------ Hurry up! We have little time! ------ I ____________. A. will come B. come C. shall come D. am coming 10. -------_____________? -------I am Italian. A. What’s your job B. What’s your name C. What nationality are you D.Where do you from 1111. I don’t have ______writing paper, I only have _____chalk . I don’t have ______writing paper, I only have _____chalks. A. any, any B. any, some C. some, some D.some,any 12. Look, the little dog ______after a big cat! A. runs B. is running C. is going to run D.is runing 1313. It’s very cold. _______ your coat. . It’s very cold. _______ your coat. A. Take off B. Put on C. Turn on D.Put off 14.The man could not bear it.He could not it. A.carry B.suffer C.stand D.lift 15.Just then,the telephone rang.It rang . A.at once B.immediately C.again D.at that moment 16.On the last day he made a big dicision.It was the day of his holiday. A.final B.end test D.bottom 17.He calls at every house in the street.He everyone. A.shouts at B.calls C.cries out at D.visits 18.The detectives were a valuable parcel of diamonds. A.expecting B.waiting C.expecting for D.expecting to 19.The man is fond of gardens. . A.They like him B.They like to him C.He likes them D.He likes they 20.How many times did the clock . A.hit B.beat C.knock D.strike 二、用一般过去和过去进行时填空. 21. I (fall) when I (skate). 22. While Tome and Jerry (eat), they (hear) a strane noise. 23. Julie (see) something weird when she (walk) in the park. 24. Mr. White (walk) in the street when it (start) to rain. 25. When David (come) home, John (make) dinner. 三、用三、用 over, between, along, in front of, behind, 或 across 等介词或介词短语填空等介词或介词短语填空26. A lot of birds are flying _______ the river. 27. The teacher is standing ___________ the blackboard. 28. I am running _______ the Great Wall(长城). 29. They are swimming _____ the river. 30. I am sitting ________my brother and my sister. 四、用所给单词的适当形式填空:四、用所给单词的适当形式填空:31、He is not very (friend) towards newcomers(新来的). 32、She slammed the telephone down (angry). 33、It was a sudden (decide) 34、She works for that restaurant as a (waiter) 35、She is very (exciting) about winning the first prize. 36、What have you been done (late). 37、We are very (please) with our new house. 38、She ( rare) visited her aunt. 39、“What do you want ?”She asked (rude) 40、I had a long (converse) with her the other day (不久前一天). 五、词组互译五、词组互译41、none of your business 42、和某人谈话、和某人谈话43、在回家的路上、在回家的路上44、by the way 45、注意、注意六、阅读理解六、阅读理解How How many many many different different different languages languages languages are are are spoken spoken spoken in in in the the the world world world today? today? today? There There There are are are about about about 5,000 5,000 5,000 different different languages. Nearly 900 languages are spoken in India .Chinese is the language spoken by the biggest number of people in the world .But the most widely spoken language in the world is English .300,000,000 people speak English as a first language .Nearly twice as many--about 650 million people speak it as a foreign language .How many words are there in the English language? There are about 490,000.Also ,there are about 300,000 words used in science(科技).There are more words in English than in any other language .But most people use no more than 60,000 words .Children ,leaving school at the age of 1 6,know about 1 5,000 words .1.The Chinese language is spoken ________. A.in most countries in the world B.in 600 countries C.by the biggest number of people in the world 2.About 650 million people speak English as________.A.a first language B.well as the native speakers C.a second language 3.Only ________ English words are used by most people .A.six thousand B.three hundred thousand C.sixty thousand 4.Children ________ know about 15,000 words .A.who start school at the age of 6 B.who study at school C.who finish school at sixteen 5.5.Which of the following is true’Which of the following is true’A.There are no more than 5,000 different languages in the world .B.English is the most widely-used language .C.The Indian people speak 800 languages .One day a poor student was walking through a town. He had not had anything to eat for several days and he was very hungry. And when he saw a man selling homemade hamburgers, he let out a scream and fell to the ground. When the surprised seller asked the student what the matter was, the student answered, “I don’t like hamburgers. In fact, I hate them. Whenever I see them, I feel ill and can’t eat.”The The hamburger hamburger hamburger seller seller seller then then then thought thought thought that that that he he he would would would play play play a a a joke joke joke on on on the the the student. student. student. He He He put put put ten ten hamburgers hamburgers in in in the the the comer comer comer of of of a a a room room room and and and then then then locked locked locked the the the student student student in in in it. it. it. After After After a a a short short short time, time, time, the the hamburger seller opened the door of the room. He was surprised to find that the student had eaten all all the the the hamburgers. hamburgers. hamburgers. The The The student student student explained. explained. explained. “For “For “For some some some strange strange strange reason, reason, reason, I I I suddenly suddenly suddenly decided decided decided that that that I I liked hamburgers.”The hamburger seller was angry that the student had fooled him. He asked what other things he he did did did not not not like like like to to to eat. eat. eat. “Oh, “Oh, “Oh, I I I like like like everything, everything, everything, ”answered ”answered ”answered the the the student, student, student, “Except “Except “Except at at at the the the moment moment moment I I would hate to drink two cups of good strong tea!”6. The student was very hungry because . A.he was ill B.he had not eaten for a long time C.he saw the hamburgers 7. The hamburger seller wanted to the student. A.help B,pull up C.play a joke on 8. The hamburger seller was surprised to find the student had eaten hamburgers. A.ten B.five C.two 9. In fact, . A.the seller wanted to sell some hamburgers to the student B.the student really hated hamburgers C.the student fooled the hamburger seller 10. The student . A.wanted some tea B.B.didn’t like tea didn’t like tea C.hated strong tea George works in a factory. He was born in a very poor family and was in school for only four years. He has to do the hard work, but he is paid less because of this. He likes to watch football matches very much and spends much time on it. One evening there was a big football match on a playground. He borrowed some money from his friend and hurried there. There were a lot of people there. And all the tickets were sold out. He was was sorry sorry sorry for for for it. it. it. He He He saw saw saw a a a pole(pole(电线杆)outside )outside the the the playground playground playground and and and climbed climbed climbed it it it up up up quickly. quickly. quickly. A A policeman came and said. “It’s dangerous to stay on it! Come down!”“Wait a minute, please!” George said and just at that moment the policeman heard cheers in the playground and asked in a hurry. “Which team has kicked a goal?” “Ours!” “Wonderful!You can stay there. But take care!” the policeman s aid happily and left. When the match would soon be over, he came back again and asked ,“Who’s won?” “Theirs, 3-2.” “Come down, ”the policeman said a n grily, “Such a match isn’t worth watching!”ngrily, “Such a match isn’t worth watching!”George had to come down. But soon they heard cheers again. The policeman said in a hurry, “Climb up quickly and see who’s kicked a goal!”11. George is paid less because he didn’t learn much when he was young . A.Right B.Wrong C.C.Doesn’t say Doesn’t say12. George climbed up the pole because he hoped to save some money. A.Right B.Wrong C.C.Doesn’t say Doesn’t say13. 13. The The The policeman policeman policeman soon soon soon changed changed changed his his his mind mind mind at at at the the the first first first time time time because because because he he he thought thought thought it it it was was was safe safe safe for for George to be on the pole. A.Right B.Wrong C.C.Doesn’t say Doesn’t say14. The policeman became angry when he heard their team had lost the game. A.Right B.Wrong C.C.Doesn’t say Doesn’t say15. Both George and the policeman are football fans. A.Right B.Wrong C.C.Doesn’t say Doesn’t say七、完型填空七、完型填空Mrs. Williams loved flowers and had a small __1__ beautiful garden .In the summer ,her roses were always the __2__ in her street .0ne summer afternoon her __3__ rang ,and when she went to the front door ,she saw a small boy outside .He was about seven years old .and was holding a big bunch(束)of beautiful roses in his hand .“I __4__ roses, ” he said.One shilling __5__ a big .“Do you want any? They are quite cheapbunch.They are fresh(新鲜).I __6__ them this afternoon.” ’“My boy,” Mrs. Williams answered,“I pick __7__ whenever I want,and don’t pay __8__ for them,because I have lots in my garden.”----__10__ they “Oh,no,you haven’t,”said the small boy.“There __9__ any roses in your garden are here in my hand!”1.A and B or C but 2.A better B worst C best 3.A bell B telephone C door 4.A sell B sold C am selling 5.A for B by C in 6.A brought B took C picked 7.A flowers B roses C a flower 8.A nothing B something C anything 9.A haven't B won’t C aren’t10.A so B and C because 。
新世纪外语新概念二期末试卷(L18—L33)总分100分=听力20分+笔试70分+平时分10分=100分姓名得分出卷Penny 审核Youlanda第一部分听力部分(20分)I.听下面五段小对话,选择正确的图片。
(5分)1. Where is Tina from?2. What do they often do on weekends?3. What does Tom want to be?4. Which place are they talking about?A. B. C.5. What is the weather like today?A. B. C.III.听独白,选择正确的选项,完成表格。
(10分)animals from howkoala 11_____________ beautiful 12___________ Africa friendly13___________ South Pole 14_____________ panda 15_____________ cute11. A. Canada B. Australia C. France12. A. elephants B. tigers C. dolphins13. A. lions B. penguins C. pandas14. A. lovely B. cute C. funny15. A. China B. Japan第二部分:笔试部分(70分)一单项选择题(20分)1.The milk____ in his room.A. wasB. wereC. areD. has2.you could do nothing.you couldn’t do_________.A. something B nothing C. anything D. everything3 I _____ some money on the book.A paidB spentC costD took4.The girl returned the money .She was very ______________.A.beautifulB. honestC. honouredD. trusting5.If Meimei _________, she will get a surprise.A. comesB. cameC. has comeD. will come6. it had begun before my sister left. My sister left _________it had begun.A. afterB. withoutC. behind D before7.They will travel faster. They will travel __________.A. soonerB. more quickly C .hurriedly D. shorter8.She never thought ___________it again.A. forB. toC. atD. about9.I have been offered some money. They want to ________me some money.A. serveB.giveC.lendD. make10 He ____ two years ago.A. deadB.diedC. deathD. dying11.I am determined to stay here. I _________ stay here.A. am will toB. wantC. decidingD. decide to12 I have much____ money than he does.A. moreB. asC. not noD. so13 ____ some mistakes,it is a good composition(作文)A ExceptB BesidesC Apart fromD Beside14.He never _________any fish.A. holdsB. takes hold of C .catches D. takes15.When I ____, I want to be a doctor.A growB grow upC grewD grew up16.I ___ to Japan, it is a nice country.A wentB goneC have beenD have gone17.I speak a few words of French.I don’t ___ French.1A manyB a plenty ofC muchD a little18.I looked for my bag. I __________it.A. tried to look afterB. tried to look atC. tried to findD. tried to see19.Men usually wear_________.A. dress instead of stockingsB. stockings instead of dressC. either dress or stockingsD. neither dress nor stockings20.You cannot fail to obey it. You can’t ________to do this.A. refuseB. denyC. resistD. withdraw二.完型填空(10分):How are you ? It is very nice __1__ you to write __2__me. From your letter I know a lot __3__your school. Now I __4__ you know something about me and my school . I am thirteen years old. I am in Class One ,Grade One. My father is a __5___. He teaches English. My mother is a doctor. She works in a __6_. I __7__early and __8__English. Our school is big. It has 2,000 students and 200 teachers. All the teachers and students work ___9_. Please come and have a look _10__ our school if you have free time.()1. A. of B. on C. for D. to()2. A. from B. of C. in D. to()3. A. of B. for C. about D. to()4. A. let B. say C. talk D. know()5. A. teacher B. worker C. student D. doctor()6. A. school B. hospital C. factory D. hotel()7.A. go to bed B. have lessons C. get up D. come here()8. A. look B. see C. watch D. read()9. A. hard B. hardly C. careful D. fast()10. A. at B. in C. on D. to三.阅读理解Reading comprehension.(15分)(A)I live in a small town near Xing’an in Guilin. You can’t see it on the map of China, because it is too small. The air here is fresh. There are not many tall buildings in our town. The best building is in our school. There are four hundred students and twenty-five teachers in our school. In the front of the school, there is a playground. I often play basketball with my classmates on it . There is a little garden behind our school. And we can grow beautiful flowers and plant trees in the garden. Next to the garden, there is an orange orchard(果园). You can hear birds singing everywhere. There is a river not far from our school. In summer, we usually go swimming with our teachers in it. We study Chinese, English, math and other subjects at school. The teachers are very nice. We love our school.()1.The writer lives _________.A. in a small townB. in the city of GuilinC. in a villageD. in a tall building()2. There is ______ in the front of our school.A. a riverB. a tall buildingC. a playgroundD. a garden()3. The students often ____ in summer.A. play basketballB. plant treesC. grow flowersD. go swimming()4. People can hear ____ singing here and there.A. studentsB. birdsC. cowsD. teachers()5. What is the best title of the passage ?A. The gardenB. A Small TownC. Our SchoolD. The Best BuildingBThere are four season in a year: spring, summer autumn and winter.Spring is the best season of the year. The weather gets warmer and the days get longer. The crops begin to grow. The trees turn green and flowers come out.Summer comes after spring. It is the warmest season. It often rains and the crops grow fast. The best sport in summer is swimming. Children often go swimming in rivers and lakes.Autumn is a busy season. The days get shorter and the nights get longer. It is harvest time. The farmers are busy. They are getting in the crops.Winter is the coldest season of the year. Sometimes it snows and the fields are all while. Skating is the best sport in winter.Many boys and girls often go skating. But the farmers are still busy. They are getting ready for the next year.()6. How many seasons are there in a year?A. ThreeB. FourC. FiveD. six()7. What is the weather like in spring?A. HotB. WarmC. ColdD. Cool()8.Which season comes after spring?A. SpringB. SummerC. AutumnD. winter()9. What sport is the best in winter?A. CyclingB. SkiingC. SkatingD. Swimming()10. What are the farmers busy doing in winter?A. They are busy getting in the cropsB. They are busy getting ready for the next year.C. They are busy planting trees and flowersD. They are busy doing sports.CWang Fei can speak English quite well because she works very hard at it.One day, her teacher, Mr. Wu asked her to come to his office and said ,“There will be a story-telling contest(竞赛) next2week, Wang Fei. Wo uld you like to take part in it?”Wang Fei wanted to go, so she asked what she had to do. Mr. Wu told her that she had to tell an English story in front of the whole school. Mr. Wu said:” If you try your best, I’m sure you’ll win.”Wang Fei decided to have a try.On Sunday night, she stayed up late to get ready for her story for the contest. It was interesting story, she didn’t go to be d until midnight. On Monday morning, she overslept(睡过头) . When she woke up, it was already seven 0’ clock. She did some washing quickly. Then she had a light breakfast. After that she ran all the way to her school.It was a warm morning, so Wang Fei felt very hot when she reached school. Mr. Wu was waiting outside the school hall, he looked very worried.“ Why are you so late, Wang Fei?” he asked.“ Sorry, Mr. Wu, I woke up late.” Wang Fei said.“ The contest will start in a minute. Remember, speak slowly and clearly.” Mr. Wu said.Wang Fei remembered his words. She told her story very well. In the end, she came out first.“You have done very well. Congratulations!” said the teacher. “All is well that ends well. But remember, don’t oversleep again!”( )1. Wang Fei works hard at ________.A. contestB. ChineseC. EnglishD. his lessons( )2. Wang Fei will be in ______ next week.A. a story-telling contestB. a sports meetingC. an English partD. a school meeting( )3. On Sunday night, Wang Fei went to bed_______.A. late as usualB. early as usualC. later than beforeD. earlier than before.( )4. At last, Wang Fei _______.A. was nearly firstB. came lastC. was not secondD. got first.( )5. Choose the best title for the passage, __________.A. Who was firstB. All’s we ll that ends wellC. Wang Fei Learns English bestD. An English contest四翻译10分1.我把钱包放在门边的桌子上_____________________________________________________________________________________2.你今晚不能和我们一起去看戏,真可惜!_____________________________________________________________________________________3.玩电脑游戏是浪费时间。
2006--2007年小学语文第二册单元书面测试题(5)(7—8单元)姓名______________ 得分______________dǔpīn yīn xiěhàn zì一、读拼音写汉字。
(16分)续有生子灿灿米子天树园tīnɡlǎo shīniàn cíyǔzài tīnɡdào d e cíyǔ xiàm iàn huàhãnɡxiàn二、听老师念词语,在听到的词语下面画横线。
(8分)答应商量失望赶紧赞许无论仔细知道阻拦已经油漆告诉打闹着急美滋滋甜甜地连忙草窝窝乱蓬蓬xiàm iàn d e cíyǔzãn yànɡdāpâi qiàdànɡ yînɡ xiàn lián qílǎi三、下面的词语怎样搭配恰当,用线连起来。
(8分)mǎ yǐcā一对蚂蚁擦作业zhuō一粒羊角写桌子一只种子收水果shénɡ一根长绳吃谷子bǐ yi bǐzǔ cí yǔ四、比一比,组词语。
(16分)鸟()跟()半()火()乌()根()伴()伙()因()舌()包()话()困()乱()跑()舌()xuǎn zìtiǎn kînɡ五、选字填空。
(6分)1、该刻妈妈不在身边,小马()怎么办呢?没有办法,小马立()跑回家去问妈妈。
shǔ2、热熟五月的天气很()了,小麦也开始成()了。
shēn qiǎn3、深浅xiónɡ māo大象说河水(),熊猫说河水()。
ɡěxiàm iàn d e jùzíj iā shànɡbiāo dián六、给下面的句子加上标点。
(3分)yě z uò fánɡ1、田野里有一座金色的房子piào2、你的房子真漂亮啊3、我可以到你家去玩吗dúyìdúlián yìlián七、读一读,连一连。
远程教育第二册《HIV和其它传染病原体的筛选》试题 一、 是非题: 1、献血者被真菌严重感染后,通常不易被发现,故容易接受献血。( ) 2、病毒是已知的简单生命形式,仅感染动物。( ) 3、医生说:“您乙肝表面抗原阳性,是健康带菌者”。( ) 4、病毒缺乏自身生存和成长的必需成份,要依赖宿主细胞来提供。( ) 5、潜伏期是传染病原体中细菌的一种特性。( ) 6、毒素通常是由死的生物体产生有毒化合物。( ) 7、经血传播性传染病,仅通过输血传播的传染病。( ) 8、抗HCV阳性表明对丙肝有免疫力。( ) 9、抗原是可刺激机体免疫系统产生免疫应答的物质。( ) 10、 抗体分子的基本单位结构是由二条肽链组成。( ) 11、 初次免疫应答中最早产生的抗体为IgM。( ) 12、 再次免疫应答主要产生的抗体为IgG。( ) 13、 细胞免疫的结果被广泛应用于血液筛选。( ) 14、 在感染期内或感染后,传染病标志物可以是传染病原体本身,也可以是特异性抗体。( ) 15、 抗体阴性就表明不带有传染病原体。( ) 16、 免疫力是先前对该传染病原体有暴露史,从而产生保护性免疫应答,对其引起的感染处于接受状态。( ) 17、 HIV-1与HIV-2病毒的包被蛋白存在交叉反应,但核心蛋白是不同的。( ) 18、 HIV病毒中的核酸是DNA,不是RNA。( ) 19、 HIV通过与细胞表面CD8蛋白受体的连接进入易感细胞。( ) 20、 替代试验:对某种感染标志物进行检测,可能说明病原体的存在,但不是该病原体的特异性标志。( ) 21、 EIA、颗粒凝集试验与特异性快速试验这三种试验的生物学原理不同。( ) 22、 “阳性”和“阴性”不能准确用于描述献血的初筛结果。( ) 23、 “筛选试验用有反应或无反应,确证试验用阴性或阳性来表达”这种说法是错的。( ) 24、 生产商在产品介绍中使用第一代、第二代、第三代的术语,是指试剂盒中抗体的来源。( ) 25、 确定一个检验结果有无反应性,必须计算出OD值。( ) 26、 Cut-off的计算,多数基于阳性对照OD值。( ) 27、 Cut-off/标本OD值,数值<1为无反应结果,数值>1为有反应结果。( ) 28、 在Ⅱ型EIA方法中,高于Cut-off值为有反应的结果,低于Cut-off值为无反应的结果。( ) 29、 颗粒凝集试验既可以检测HIV抗体也可以检测HIV抗原。( ) 30、 特异性快速法的缺点是价格昂贵。( ) 31、 颗粒凝集试验初试有反应的结果,需要时再使用包被和未包被的颗粒作对照来检测。( ) 32、 颗粒凝集试验初试通过颗粒的凝集来检测HIV抗体与抗原的存在。( ) 33、 在颗粒凝集试验中,质控品只能用来提供反应的模式,既使使用自动化读数仪,OD值也不被采用。( ) 34、 灵敏度:未感染的个体被检测呈阳性反应的可能性。( ) 35、 特异性:感染个体被检测呈阴性反应的可能性。( ) 36、 三种原理的筛检试验包括三个基本步骤。( ) 37、 “HIV抗体检测的时间限制”也是建立和维护一个有效的HIV抗体筛检工作程序时需考虑的因素之一。( ) 38、 核衣壳:病毒粒子中包裹病毒核酸的里层蛋白质核心,由特异性蛋白亚单位组成。( ) 39、 可疑就是不能被明确的划分为阳性的结果。( ) 40、 为了能成功的完成HIV试验,不仅要对学员进行实验操作培训,还包括其它用HIV检测而必须的工作,如正确使用注射器。( ) 41、 当断电经常发生并且时间很长时,应尽可能通过增加密封性和尽量不开冰箱门来保持温度。( ) 42、 溶血或脂血标本是不适宜做试验的,所以它们可能异致假阴性。 43、 使用不完全凝结的血标本会导致假阳性。( ) 44、 室间质控品是由本实验室制备的。( ) 45、 需要长时间保存的血清,可用叠氮钠防腐,以备做EIA试验。( ) 46、 “就避免今后发生同样错误所采取的措施”是差错记录应包括的内容之一。( ) 47、 当复检发现一份抗-HIV阳性血,必须废弃。但还要从该袋血的辫管中直接取样确认所检验的就是该袋血。( ) 48、 确证试验应在不同实验室内进行,采用与初筛相同的方法。( ) 49、 一个初试反应性的血样被认为是HIV阳性,但也可能是假阳性。( ) 50、 保存记录的目的是用逻辑的方式对正确的记录进行存档以备必要时对记录进行快速和方便的查找。( ) 51、 理想的销毁阳性血的方法是高压蒸气消毒再焚化。( ) 52、 质控血清已经过其它传染性病原体筛检并经来活处理。( ) 53、 质控血清已经过其它传染性病原体筛检并经来活处理,所以无须按有传染性而进行处理。( ) 54、 对任何质量体系而言,最本质的是有各种工作记录。( ) 55、 “确定为达到稳定的质量而需要做什么”是建立一个质量体系必不可少的阶段之一。( ) 56、 “计划需要采取的行为并确定最佳的执行方式”是建立一个质量体系必不可少的阶段之一。( ) 57、 “完成所需要的变化,包括建立监督系统和控制系统”是建立一个质量体系必不可少的阶段之一。( ) 58、 “为评价实验运行好坏以及确定为保证现行质量而需进一步的任何改变,必须对该系统进行监控” 是建立一个质量体系必不可少的阶段之一。( ) 59、 SOP是指导完成特定筛选项目的一整套书面操作指南,因而任何实验室应就本实验室所有重要工作制定相应的一系列SOP。( ) 60、 医生说:“您乙肝表面抗原阳性,暂时不能献血”。( ) 61、 病毒有自身生存和成长的必需成份,不要依赖宿主细胞来提供。( ) 62、 抗体是任何可刺激机体免疫系统产生针对免疫应答的物质。( ) 63、 HIV通过细胞表面一种称为CD2蛋白的受体进入易感细胞。( ) 64、 替代试验:对某种感染标志物进行检测,可能说明病原体的存在,但不是该病原体的非特异性标志。( ) 65、 EIA、颗粒凝集试验与特异性快速试验这三种试验的生物学原理相同。( ) 66、 抗体分子的基本单位结构是由四条肽链组成。( ) 67、 HCV病毒中的核酸是RNA,不存在DNA。( ) 68、 某献血者承认1周前曾与不相识的人发生过一次性接触,是否可以献血。( ) 69、 一个人每天锻炼能预防HIV感染。( ) 70、 HIV抗体阳性的母亲生育的后代不一定被感染。( ) 71、 在非洲,许多人感染HIV是因为曾被蚊子叮咬过。( ) 72、 禁欲、不使用毒品就不会感染HIV。( ) 73、 在病人血中检出HBsAg阳性是HBV复制的标记。( ) 74、 对已出现临床体征的AIDS病人,血清学方法检测的是病人血中的IgM。( ) 75、 唾液不会传播HIV。( ) 76、 HIV离开人体后很容易死亡。( ) 77、 HIV对高温、高压不敏感。( ) 78、 HIV对紫外线不敏感。( ) 79、 HIV是一种抵抗力较强的病毒。( ) 80、 只要不性乱和不吸毒就不会感染HIV。( ) 81、 B淋巴细胞介导的免疫反应是体液免疫。( ) 82、 T淋巴细胞可以产生抗体。( ) 83、 变态反应包括特异性反应和非特异性反应。( ) 84、 目前已发现的引起爱滋病的病原体是HIV-1和HIV-2。( ) 85、 吸毒感染HIV是因为毒品中含有HIV。( ) 86、 临床选择诊断试剂首先应考虑试剂的特异性。( ) 87、 敏感性是检测出所有阳性样本的比率。( ) 88、 安全供血取决于检测病原体的灵敏感度和特异性。( ) 89、 在免疫学实验中,真正被定义为阳性的是初筛反应,确证反应。( ) 90、 颗粒凝集法有反应结果是:凝集颗粒在孔底均匀铺开。( ) 91、 颗粒凝集法有反应结果是:凝集颗粒在孔中央呈现点状。( ) 92、 紧急情况下要输血而无库存血时,允许使用未经HIV筛选的血。( ) 93、 检测结果的可靠性主要依靠试剂的灵敏度和特异性。( ) 94、 储存试剂盒的重要条件是冷库(冰箱)的可靠性。( ) 95、 血站在选择一种抗-HIV筛检方法时,主要考虑试剂的灵敏度。( ) 96、 血站在选择一种抗-HIV筛检方法时,主要考虑试剂的特异性。( ) 97、 在选择一种抗-HIV筛检方法时,主要考虑试剂的价格高低及操作是否简便。( ) 98、 SOP并不要求每个实验室特别是小型实验室都制订。( ) 99、 对送确证实验室做确证的标本邮寄应保证其不泄漏、不扩散、不变质。( ) 100、 质量保证应当用于每个筛检项目。( ) 101、 质量保证视实际情况而定,不一定要用于每个筛选项目。( ) 二、 单选题: 1、潜伏期是传染病原体,通常是什么的一种特性。( ) A、细菌B、病毒C、真菌D、原生生物 2、未见报道可经输血传播的传染病原体是:( ) A、细菌B、病毒C、真菌D、原生生物 3、传染病是否可以输血传播取决于几种基本条件。( ) A、二种B、三种C、四种D、五种 4、某些传染病原体通过输血的传播是可以发生的,这是传染病传播的一条什么途径。( ) A、首要B、次要C、主要D、唯一 5、有几种类型的免疫球蛋白。( ) A、三种B、四种C、五种D、六种 6、免疫应答中最早产生的抗体是:( ) A、IgA B、IgD C、IgG D、IgM 7、哪种免疫球蛋白含一个基本单位。( ) A、IgA B、IgD C、IgE D、IgM 8、哪种抗体可以最初的抗体应答后持续较长时间。( ) A、IgA B、IgE C、IgG D、IgM 9、筛选的主要目的是在发血前对血液中可能存在的病原体采取何种相应的措施,以保证所供应的血液不带有这些病原体。( ) A、消毒B、检测C、灭活D、过滤 10、 血液筛选主要是对传染病原体何种物质进行检测。( ) A、病原体本身B、相应抗原C、相应抗体D、替代物 11、 在某些情况下,先前传染所产生的抗体的存在表明此血仍具有传染病性,这是因为:( ) A、体的存在并不意味着对感染的足够抵抗,因为病原体依然存在于血液中; B、虽然抗体能抵抗感染,但因为病原体依然存在于血液中; C、有变态反应 D、有细胞应答。 12、 HBV感染后何种物质的存在表明免疫力的产生,可抵抗再次感染。( ) A、HBsAg B、HbeAg C、HbsAb D、HBcAb 13、 如果某种传染病原体仅在急性期传播,那么对献血者应该检测什么。( ) A、相应的抗体 B、相应的抗原 C、病原体本身 D、替代物 14、 世界上何年首次分离HIV-1。( ) A、1981 B、1982 C、1983 D、1984 15、 我国何年首次报告AIDS病例。( ) A、1982 B、1983 C、1984 D、1985 16、 当一种抗体不仅能识别相应的抗原,还能认识其它相类似的抗原时,