西藏日喀则市南木林高级中学2020学年高二英语下学期期中试题

西藏自治区日喀则市南木林高级中学2019-2020高二下学期期中考试数学（文)试卷注意事项：1、本试题全部为笔答题,共 页,满分 100 分，考试时间 90 分钟。

2、答卷前将密封线内的项目填写清楚，密封线内禁止答题.3、用钢笔或签字笔直接答在试卷(或答题纸上）。

4、本试题为闭卷考试，请考生勿将课本进入考场。

一、选择题1.若复数 21i z =-，其中i 为虚数单位,则z = （ ） A 。

1i + B.1i - C.1i -+ D.1i --2。

用火柴棒摆“金鱼”,如下图所示：按照上面的规律，第n 个“金鱼”图形需要火柴棒的根数为( ）A 。

62n -B 。

82n - C.62n + D.82n +3。

若()12z i i ⋅+=- (i 为虚数单位）,则复数z 的虚数部分为( ）A. 32 B 。

32- C 。

32i D. 32i - 4。

如图是元宵花灯展中一款五角星灯连续旋转闪烁所成的三个图形，照此规律闪烁,下一个呈现出来的图形是（ )A 。

B 。

C. D.5．根据下边框图，当输入x 为6时，输出的y 等于（ ）A. 1 B 。

2 C 。

5 D 。

106．。

已知(3)(1)i z m m =++-在复平面内对应的点在第四象限,则实数m 的取值范围是( ）A 。

()3,1- B. (1,3)- C. ()1,+∞ D 。

(,3)-∞-7。

设(1i)1i x y +=+,其中,x y 是实数，则i x y +=( )A 。

1BC D.28.某单位为了践行“绿水青山就是金山银山”的理念，打算制定节能减排的目标.他们调查了用电量y （单位:千瓦·时)与气温x （单位C ︒）之间的关系,随机选取了4天的用电量与当天气温，并制作了以下对照表：由表中数据得线性回归方程,2y x a =-+则由此估计,当某天气温为2C ︒时,当天用电量约为（） A.56千瓦·时 B 。

62千瓦·时 C.64千瓦·时 D.68千瓦·时9.为考察某种药物预防疾病的效果,对100只某种动物进行试验，得到如下的列联表:经计算,统计量2K 的观测值 4.762k ≈。

一、复数选择题1．已知复数2z i =-，若i 为虚数单位，则1iz+=（ ） A ．3155i + B ．1355i + C ．113i +D ．13i + 2．在复平面内，复数534ii-（i 为虚数单位）对应的点的坐标为（ ） A ．()3,4B ．()4,3-C ．43,55⎛⎫-⎪⎝⎭D ．43,55⎛⎫-⎪⎝⎭ 3．若复数(1)()(i a i i -+是虚数单位)为纯虚数，则实数a 的值为（ ） A ．2 B ．1 C ．0 D ．1-4．212ii+=-（ ） A ．1B ．−1C ．i -D ．i5．已知复数31iz i-=，则z 的虚部为（ ） A ．1B ．1-C ．iD ．i -6．如图所示，在复平面内，网格中的每个小正方形的边长都为1，点A ，B 对应的复数分别是1z ，2z ，则12z z -=（ ）A 2B ．2C ．2D ．87．已知i 是虚数单位，则复数41ii+在复平面内对应的点在（ ） A ．第一象限B ．第二象限C ．第三象限D ．第四象限8．已知i 为虚数单位，若复数()12iz a R a i+=∈+为纯虚数，则z a +=（ ） A 5B ．3C ．5D ．229．若复数z 满足421iz i+=+，则z =（ ） A ．13i +B ．13i -C ．3i +D ．3i -10．满足313i z i ⋅=-的复数z 的共扼复数是（ ）A ．3i -B ．3i --C ．3i +D ．3i -+11．若(1)2z i i -=，则在复平面内z 对应的点位于（ ）A ．第一象限B ．第二象限C ．第三象限D ．第四象限12．已知复数z 满足22z z =，则复数z 在复平面内对应的点(),x y （ ）A ．恒在实轴上B ．恒在虚轴上C ．恒在直线y x =上D ．恒在直线y x=-上 13．122ii-=+（ ） A ．1 B ．-1 C ．i D ．-i 14．若复数z 满足213z z i -=+，则z =（ ） A ．1i +B ．1i -C ．1i -+D ．1i --15．设复数满足(12)i z i +=，则||z =（ ）A ．15B C D ．5二、多选题16．i 是虚数单位，下列说法中正确的有（ ） A ．若复数z 满足0z z ⋅=，则0z =B ．若复数1z ，2z 满足1212z z z z +=-，则120z z =C ．若复数()z a ai a R =+∈，则z 可能是纯虚数D ．若复数z 满足234z i =+，则z 对应的点在第一象限或第三象限17．已知复数cos sin 22z i ππθθθ⎛⎫=+-<< ⎪⎝⎭（其中i 为虚数单位）下列说法正确的是（ ）A ．复数z 在复平面上对应的点可能落在第二象限B ．z 可能为实数C ．1z =D ．1z的虚部为sin θ 18．已知复数z 满足220z z +=，则z 可能为（ ）. A ．0B ．2-C ．2iD ．2i+1-19．设复数z 满足1z i z+=，则下列说法错误的是（ ） A ．z 为纯虚数B ．z 的虚部为12i -C ．在复平面内，z 对应的点位于第三象限D ．2z =20．若复数z 满足()234z i i +=+（i 为虚数单位），则下列结论正确的有（ ）A ．z 的虚部为3B ．z =C ．z 的共轭复数为23i +D ．z 是第三象限的点21．已知复数z 满足2724z i =--，在复平面内，复数z 对应的点可能在（ ）A ．第一象限B ．第二象限C ．第三象限D ．第四象限22．下列说法正确的是（ ） A ．若2z =，则4z z ⋅=B ．若复数1z ，2z 满足1212z z z z +=-，则120z z =C ．若复数z 的平方是纯虚数，则复数z 的实部和虛部相等D ．“1a ≠”是“复数()()()211z a a i a R =-+-∈是虚数”的必要不充分条件23．已知复数12ω=-（i 是虚数单位），ω是ω的共轭复数，则下列的结论正确的是（ ） A ．2ωω=B ．31ω=-C ．210ωω++=D ．ωω>24．已知1z ，2z 为复数，下列命题不正确的是（ ） A ．若12z z =，则12=z z B ．若12=z z ，则12z z =C ．若12z z >则12z z >D ．若12z z >，则12z z >25．设i 为虚数单位，复数()(12)z a i i =++，则下列命题正确的是（ ）A ．若z 为纯虚数，则实数a 的值为2B ．若z 在复平面内对应的点在第三象限，则实数a 的取值范围是(,)122-C ．实数12a =-是z z =（z 为z 的共轭复数）的充要条件 D ．若||5()z z x i x R +=+∈，则实数a 的值为226．下列命题中，正确的是（ ） A ．复数的模总是非负数B ．复数集与复平面内以原点为起点的所有向量组成的集合一一对应C ．如果复数z 对应的点在第一象限，则与该复数对应的向量的终点也一定在第一象限D ．相等的向量对应着相等的复数27．已知复数12ω=-，其中i 是虚数单位，则下列结论正确的是（ ）A ．1ω=B ．2ω的虚部为C ．31ω=-D ．1ω在复平面内对应的点在第四象限28．以下为真命题的是（ ）A ．纯虚数z 的共轭复数等于z -B ．若120z z +=，则12z z =C ．若12z z +∈R ，则1z 与2z 互为共轭复数D ．若120z z -=，则1z 与2z 互为共轭复数 29．下面四个命题，其中错误的命题是（ ） A ．0比i -大 B ．两个复数当且仅当其和为实数时互为共轭复数C ．1x yi i +=+的充要条件为1x y ==D ．任何纯虚数的平方都是负实数 30．设()()2225322z t t t t i =+-+++，t ∈R ，i 为虚数单位，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 一定不为实数D ．z 对应的点在实轴的下方【参考答案】***试卷处理标记，请不要删除一、复数选择题 1．B 【分析】利用复数的除法法则可化简，即可得解. 【详解】 ，. 故选：B. 解析：B 【分析】利用复数的除法法则可化简1iz+，即可得解. 【详解】2z i =-，()()()()12111313222555i i i i i i z i i i +++++∴====+--+. 故选：B.2．D 【分析】运用复数除法的运算法则化简复数的表示，最后选出答案即可. 【详解】 因为，所以在复平面内，复数（为虚数单位）对应的点的坐标为. 故选：D【分析】运用复数除法的运算法则化简复数534ii-的表示，最后选出答案即可. 【详解】 因为55(34)15204334(34)(34)2555i i i i i i i i ⋅+-===-+--+， 所以在复平面内，复数534i i -（i 为虚数单位）对应的点的坐标为43,55⎛⎫- ⎪⎝⎭. 故选：D3．D 【分析】由复数乘法化复数为代数形式，然后根据复数的分类求解． 【详解】 ，它为纯虚数， 则，解得． 故选：D ．解析：D 【分析】由复数乘法化复数为代数形式，然后根据复数的分类求解． 【详解】2(1)()1(1)i a i a i ai i a a i -+=+--=++-，它为纯虚数，则1010a a +=⎧⎨-≠⎩，解得1a =-．故选：D ．4．D 【分析】利用复数的除法运算即可求解. 【详解】 ， 故选：D解析：D 【分析】利用复数的除法运算即可求解. 【详解】()()()()2221222255121212145i i i i i i i i i i i +++++====--+-，5．B 【分析】化简复数，可得，结合选项得出答案． 【详解】则，的虚部为 故选：B解析：B 【分析】化简复数z ，可得z ，结合选项得出答案． 【详解】()311==11i iz i i i i i--=-=+- 则1z i =-，z 的虚部为1- 故选：B6．B 【分析】根据复数的几何意义，求两个复数，再计算复数的模. 【详解】由图象可知，，则， 故. 故选:B.解析：B 【分析】根据复数的几何意义，求两个复数，再计算复数的模. 【详解】由图象可知1z i =，22z i =-，则1222z z i -=-+，故12|22|z z i -=-+== 故选:B .7．A 【分析】利用复数的乘除运算化简复数的代数形式，得到其对应坐标即知所在象限. 【详解】，所以复数对应的坐标为在第一象限， 故选：A【分析】利用复数的乘除运算化简复数的代数形式，得到其对应坐标即知所在象限. 【详解】44(1)2(1)12i i i i i -==++，所以复数对应的坐标为(2,2)在第一象限， 故选：A 8．A 【分析】根据复数运算,化简后由纯虚数的概念可求得，.进而求得复数,再根据模的定义即可求得 【详解】由复数为纯虚数，则，解得 则 ，所以，所以 故选：A解析：A 【分析】根据复数运算,化简后由纯虚数的概念可求得a ，.进而求得复数z ,再根据模的定义即可求得z a + 【详解】()()()()()()2221222121122111i a i a a i a ii a z a i a i a i a a a +-++--++====+++-+++ 由复数()12iz a R a i +=∈+为纯虚数，则222012101a a a a +⎧=⎪⎪+⎨-⎪≠⎪+⎩，解得2a =-则z i =- ，所以2z a i +=--，所以z a += 故选：A9．C 【分析】首先根据复数的四则运算求出，然后根据共轭复数的概念求出. 【详解】 ，故. 故选：C.解析：C 【分析】首先根据复数的四则运算求出z ，然后根据共轭复数的概念求出z . 【详解】()()()()421426231112i i i iz i i i i +-+-====-++-，故3z i =+. 故选：C.10．A 【分析】根据，利用复数的除法运算化简复数，再利用共扼复数的概念求解. 【详解】 因为， 所以，复数的共扼复数是， 故选：A解析：A 【分析】根据313i z i ⋅=-，利用复数的除法运算化简复数，再利用共扼复数的概念求解. 【详解】因为313i z i ⋅=-， 所以()13133iz i i i i-==-=+-， 复数z 的共扼复数是3z i =-， 故选：A11．B 【分析】先求解出复数，然后根据复数的几何意义判断. 【详解】 因为，所以，故对应的点位于复平面内第二象限. 故选：B. 【点睛】本题考查复数的除法运算及复数的几何意义，属于基础题. 化简计解析：B 【分析】先求解出复数z ，然后根据复数的几何意义判断. 【详解】因为(1)2z i i -=，所以()212112i i i z i i +===-+-，故z 对应的点位于复平面内第二象限. 故选：B. 【点睛】本题考查复数的除法运算及复数的几何意义，属于基础题. 化简计算复数的除法时，注意分子分母同乘以分母的共轭复数.12．A 【分析】先由题意得到，然后分别计算和，再根据得到关于，的方程组并求解，从而可得结果． 【详解】由复数在复平面内对应的点为得，则，， 根据得，得，.所以复数在复平面内对应的点恒在实轴上， 故解析：A 【分析】先由题意得到z x yi =+，然后分别计算2z 和2z ，再根据22z z =得到关于x ，y 的方程组并求解，从而可得结果． 【详解】由复数z 在复平面内对应的点为(),x y 得z x yi =+，则2222z x y xyi =-+，222z x y =+，根据22z z =得222220x y x yxy ⎧-=+⎨=⎩，得0y =，x ∈R .所以复数z 在复平面内对应的点(),x y 恒在实轴上， 故选：A ．13．D 【分析】利用复数的除法求解. 【详解】 . 故选：D解析：D 【分析】利用复数的除法求解. 【详解】()()()()12212222i i i i i i i ---==-++-. 故选：D14．A 【分析】采用待定系数法，设，由复数运算和复数相等可求得，从而得到结果. 【详解】 设，则， ，，解得：， . 故选：A.解析：A 【分析】采用待定系数法，设(),z a bi a b R =+∈，由复数运算和复数相等可求得,a b ，从而得到结果. 【详解】设(),z a bi a b R =+∈，则z a bi =-，()()22313z z a bi a bi a bi i ∴-=+--=+=+，133a b =⎧∴⎨=⎩，解得：11a b =⎧⎨=⎩，1z i ∴=+.故选：A. 15．B 【分析】利用复数除法运算求得，再求得. 【详解】 依题意， 所以. 故选：B解析：B 【分析】利用复数除法运算求得z ，再求得z . 【详解】 依题意()()()12221121212555i i i i z i i i i -+====+++-，所以z == 故选：B 二、多选题16．AD【分析】A 选项，设出复数，根据共轭复数的相关计算，即可求出结果；B 选项，举出反例，根据复数模的计算公式，即可判断出结果；C 选项，根据纯虚数的定义，可判断出结果；D 选项，设出复数，根据题解析：AD【分析】A 选项，设出复数，根据共轭复数的相关计算，即可求出结果；B 选项，举出反例，根据复数模的计算公式，即可判断出结果；C 选项，根据纯虚数的定义，可判断出结果；D 选项，设出复数，根据题中条件，求出复数，由几何意义，即可判断出结果.【详解】A 选项，设(),z a bi a b R =+∈，则其共轭复数为(),z a bi a b R =-∈， 则220z z a b ⋅=+=，所以0a b ，即0z =；A 正确；B 选项，若11z =，2z i =，满足1212z z z z +=-，但12z z i =不为0；B 错；C 选项，若复数()z a ai a R =+∈表示纯虚数，需要实部为0，即0a =，但此时复数0z =表示实数，故C 错；D 选项，设(),z a bi a b R =+∈，则()2222234z a bi a abi b i =+=+-=+， 所以22324a b ab ⎧-=⎨=⎩，解得21a b =⎧⎨=⎩或21a b =-⎧⎨=-⎩，则2z i =+或2z i =--， 所以其对应的点分别为()2,1或()2,1--，所以对应点的在第一象限或第三象限；D 正确. 故选：AD.17．BC【分析】分、、三种情况讨论，可判断AB 选项的正误；利用复数的模长公式可判断C 选项的正误；化简复数，利用复数的概念可判断D 选项的正误.【详解】对于AB 选项，当时，，，此时复数在复平面内的点解析：BC【分析】 分02θπ-<<、0θ=、02πθ<<三种情况讨论，可判断AB 选项的正误；利用复数的模长公式可判断C 选项的正误；化简复数1z ，利用复数的概念可判断D 选项的正误. 【详解】对于AB 选项，当02θπ-<<时，cos 0θ>，sin 0θ<，此时复数z 在复平面内的点在第四象限；当0θ=时，1z R =-∈； 当02πθ<<时，cos 0θ>，sin 0θ>，此时复数z 在复平面内的点在第一象限.A 选项错误，B 选项正确；对于C 选项，1z ==，C 选项正确；对于D 选项，()()11cos sin cos sin cos sin cos sin cos sin i i z i i i θθθθθθθθθθ-===-++⋅-， 所以，复数1z的虚部为sin θ-，D 选项错误. 故选：BC. 18．AC【分析】令，代入原式，解出的值，结合选项得出答案．【详解】令，代入，得，解得，或，或，所以，或，或.故选：AC【点睛】本题考查复数的运算，考查学生计算能力，属于基础题．解析：AC【分析】令()i ,z a b a b R =+∈，代入原式，解出,a b 的值，结合选项得出答案．【详解】令()i ,z a b a b R =+∈，代入220z z +=，得222i 0a b ab -+=，解得00a b =⎧⎨=⎩，或02a b =⎧⎨=⎩，或02a b =⎧⎨=-⎩， 所以0z =，或2i z =，或2i z =-.故选：AC【点睛】本题考查复数的运算，考查学生计算能力，属于基础题．19．AB【分析】先由复数除法运算可得，再逐一分析选项，即可得答案.【详解】由题意得：，即，所以z 不是纯虚数，故A 错误；复数z 的虚部为，故B 错误；在复平面内，对应的点为，在第三象限，故C 正确解析：AB【分析】 先由复数除法运算可得1122z i =--，再逐一分析选项，即可得答案. 【详解】 由题意得：1z zi +=，即111122z i i -==---， 所以z 不是纯虚数，故A 错误； 复数z 的虚部为12-，故B 错误； 在复平面内，z 对应的点为11(,)22--，在第三象限，故C 正确；2z ==，故D 正确. 故选：AB【点睛】本题考查复数的除法运算，纯虚数、虚部的概念，复平面内点所在象限、复数求模的运算等知识，考查计算求值的能力，属基础题.20．BC【分析】利用复数的除法求出复数，利用复数的概念与几何意义可判断各选项的正误.【详解】，，所以，复数的虚部为，，共轭复数为，复数在复平面对应的点在第四象限.故选：BD.【点睛】本题考解析：BC【分析】利用复数的除法求出复数z ，利用复数的概念与几何意义可判断各选项的正误.【详解】()234z i i +=+，34232i z i i+∴=-=-+，所以，复数z 的虚部为3-，z =共轭复数为23i +，复数z 在复平面对应的点在第四象限.故选：BD.【点睛】 本题考查复数的四则运算、虚部、模、共轭复数以及几何意义，考查计算能力，属于基础题.21．BD【分析】先设复数，根据题中条件，由复数的乘法运算，以及复数相等的充要条件求出，即可确定对应的点所在的象限.【详解】设复数，则，所以，则，解得或，因此或，所以对应的点为或，因此复解析：BD【分析】先设复数(),z a bi a b R =+∈，根据题中条件，由复数的乘法运算，以及复数相等的充要条件求出z ，即可确定对应的点所在的象限.【详解】设复数(),z a bi a b R =+∈，则2222724z a abi b i =+-=--，所以2222724z a abi b i =+-=--，则227224a b ab ⎧-=-⎨=-⎩，解得34a b =⎧⎨=-⎩或34a b =-⎧⎨=⎩， 因此34z i =-或34z i =-+，所以对应的点为()3,4-或()3,4-，因此复数z 对应的点可能在第二或第四象限.故选：BD.【点睛】本题主要考查判定复数对应的点所在的象限，熟记复数的运算法则，以及复数相等的条件即可，属于基础题型.22．AD【分析】由求得判断A ；设出，，证明在满足时，不一定有判断B ；举例说明C 错误；由充分必要条件的判定说明D 正确.【详解】若，则，故A 正确；设，由，可得则，而不一定为0，故B 错误；当时解析：AD【分析】 由z 求得z z ⋅判断A ；设出1z ，2z ，证明在满足1212z z z z +=-时，不一定有120z z =判断B ；举例说明C 错误；由充分必要条件的判定说明D 正确.【详解】 若2z =，则24z z z ⋅==，故A 正确；设()11111,z a bi a b R =+∈，()22222,z a b i a b R =+∈ 由1212z z z z +=-，可得()()()()222222121212121212z z a a b b z z a a b b +=+++=-=-+-则12120a a b b +=，而()()121122121212121212122z z a bi a b i a a bb a b i b a i a a a b i b a i =++=-++=++不一定为0，故B 错误；当1z i =-时22z i =-为纯虚数，其实部和虚部不相等，故C 错误；若复数()()()211z a a i a R =-+-∈是虚数，则210a -≠，即1a ≠± 所以“1a ≠”是“复数()()()211z a a i a R =-+-∈是虚数”的必要不充分条件，故D 正确； 故选：AD【点睛】本题考查的是复数的相关知识，考查了学生对基础知识的掌握情况，属于中档题.23．AC【分析】根据复数的运算进行化简判断即可.【详解】解：∵所以，∴，故A 正确，，故B 错误，，故C 正确，虚数不能比较大小，故D 错误，故选：AC.【点睛】本题主要考查复数的有关概念解析：AC【分析】根据复数的运算进行化简判断即可.【详解】解：∵12ω=-所以12ω=--，∴2131442ωω=--=--=，故A 正确，32111312244ωωω⎛⎫⎛⎫⎛⎫==---=--= ⎪⎪ ⎪⎝⎭⎝⎭⎝⎭，故B 错误，2111102222ωω++=---++=，故C 正确， 虚数不能比较大小，故D 错误，故选：AC .【点睛】本题主要考查复数的有关概念和运算，结合复数的运算法则进行判断是解决本题的关键．属于中档题．24．BCD【分析】根据两个复数之间不能比较大小，得到C 、D 两项是错误的，根据复数的定义和复数模的概念，可以断定A 项正确，B 项错误，从而得到答案.【详解】因为两个复数之间只有等与不等，不能比较大小解析：BCD【分析】根据两个复数之间不能比较大小，得到C 、D 两项是错误的，根据复数的定义和复数模的概念，可以断定A 项正确，B 项错误，从而得到答案.【详解】因为两个复数之间只有等与不等，不能比较大小，所以C 、D 两项都不正确；当两个复数的模相等时，复数不一定相等， 比如11i i -=+，但是11i i -≠+，所以B 项是错误的；因为当两个复数相等时，模一定相等，所以A 项正确；故选：BCD.【点睛】该题考查的是有关复数的问题，涉及到的知识点有两个复数之间的关系，复数模的概念，属于基础题目.25．ACD【分析】首先应用复数的乘法得，再根据纯虚数概念、复数所在象限，以及与共轭复数或另一个复数相等，求参数的值或范围，进而可确定选项的正误【详解】∴选项A ：为纯虚数，有可得，故正确选项B解析：ACD【分析】首先应用复数的乘法得2(12)z a a i =-++，再根据纯虚数概念、复数所在象限，以及与共轭复数或另一个复数相等，求参数的值或范围，进而可确定选项的正误【详解】()(12)2(12)z a i i a a i =++=-++∴选项A ：z 为纯虚数，有20120a a -=⎧⎨+≠⎩可得2a =，故正确 选项B ：z 在复平面内对应的点在第三象限，有20120a a -<⎧⎨+<⎩解得12a <-，故错误 选项C ：12a =-时，52z z ==-；z z =时，120a +=即12a =-，它们互为充要条件，故正确 选项D ：||5()z z x i x R +=+∈时，有125a +=，即2a =，故正确故选：ACD【点睛】本题考查了复数的运算及分类和概念，应用复数乘法运算求得复数，再根据复数的概念及性质、相等关系等确定参数的值或范围26．ABD【分析】根据复数的几何意义逐项判断后可得正确的选项．【详解】设复数，对于A ，，故A 正确．对于B ，复数对应的向量为，且对于平面内以原点为起点的任一向量，其对应的复数为，故复数集与解析：ABD【分析】根据复数的几何意义逐项判断后可得正确的选项．【详解】设复数(),z a bi a b R =+∈，对于A ，0z =≥，故A 正确．对于B ，复数z 对应的向量为(),OZ a b =，且对于平面内以原点为起点的任一向量(),m n α=，其对应的复数为m ni +， 故复数集与复平面内以原点为起点的所有向量组成的集合一一对应，故B 正确． 对于B ，复数z 对应的向量为(),OZ a b =，且对于平面内的任一向量(),m n α=，其对应的复数为m ni +，故复数集中的元素与复平面内以原点为起点的所有向量组成的集合中的元素是一一对应，故B 正确．对于C ，如果复数z 对应的点在第一象限，则与该复数对应的向量的终点不一定在第一象限，故C 错．对于D ，相等的向量的坐标一定是相同的，故它们对应的复数也相等，故D 正确． 故选：ABD ．【点睛】本题考查复数的几何意义，注意复数(),z a bi a b R =+∈对应的向量的坐标为(),a b ，它与终点与起点的坐标的差有关，本题属于基础题．27．AB【分析】求得、的虚部、、对应点所在的象限，由此判断正确选项.【详解】依题意，所以A 选项正确；，虚部为，所以B 选项正确；，所以C 选项错误；，对应点为，在第三象限，故D 选项错误.故选解析：AB【分析】 求得ω、2ω的虚部、3ω、1ω对应点所在的象限，由此判断正确选项.【详解】依题意1ω==，所以A 选项正确；2211312442ω⎛⎫=-+=-=- ⎪ ⎪⎝⎭，虚部为，所以B 选项正确；22321111222222ωωω⎛⎫⎛⎫⎛⎛⎫=⋅=--⋅-+=-+= ⎪ ⎪ ⎪ ⎪ ⎪ ⎝⎭⎝⎭⎝⎭⎝⎭，所以C 选项错误；221111222212ω---====--⎛⎫-+ ⎪⎝⎭⎝⎭⎝⎭⎝⎭，对应点为1,22⎛⎫-- ⎪ ⎪⎝⎭，在第三象限，故D 选项错误. 故选：AB【点睛】本小题主要考查复数的概念和运算，考查复数对应点所在象限，属于基础题.28．AD【分析】根据纯虚数的概念即可判断A 选项；根据实数、复数的运算、以及共轭复数的定义即可判断BCD 选项.【详解】解：对于A ，若为纯虚数，可设，则，即纯虚数的共轭复数等于，故A 正确；对于B解析：AD【分析】根据纯虚数的概念即可判断A 选项；根据实数、复数的运算、以及共轭复数的定义即可判断BCD 选项.【详解】解：对于A ，若z 为纯虚数，可设()0z bi b =≠，则z bi z =-=-，即纯虚数z 的共轭复数等于z -，故A 正确；对于B ，由120z z +=，得出12z z =-，可设11z i =+，则21z i =--， 则21z i =-+，此时12z z ≠，故B 错误；对于C ，设12,z a bi z c di =+=+，则()()12a c b d i R z z =++++∈，则0b d +=， 但,a c 不一定相等，所以1z 与2z 不一定互为共轭复数，故C 错误；对于D ，120z z -=，则12z z =，则1z 与2z 互为共轭复数，故D 正确.故选：AD.【点睛】本题考查与复数有关的命题的真假性，考查复数的基本概念和运算，涉及实数、纯虚数和共轭复数的定义，属于基础题. 29．ABC【分析】根据虚数不能比大小可判断A 选项的正误；利用特殊值法可判断B 选项的正误；利用特殊值法可判断C 选项的正误；利用复数的运算可判断D 选项的正误.【详解】对于A 选项，由于虚数不能比大小，解析：ABC【分析】根据虚数不能比大小可判断A 选项的正误；利用特殊值法可判断B 选项的正误；利用特殊值法可判断C 选项的正误；利用复数的运算可判断D 选项的正误.【详解】对于A 选项，由于虚数不能比大小，A 选项错误；对于B 选项，()()123i i ++-=，但1i +与2i -不互为共轭复数，B 选项错误； 对于C 选项，由于1x yi i +=+，且x 、y 不一定是实数，若取x i =，y i =-，则1x yi i +=+，C 选项错误；对于D 选项，任取纯虚数()0,ai a a R ≠∈，则()220ai a =-<，D 选项正确. 故选：ABC.【点睛】本题考查复数相关命题真假的判断，涉及共轭复数的概念、复数相等以及复数的计算，属于基础题.30．CD【分析】利用配方法得出复数的实部和虚部的取值范围，结合复数的概念和几何意义可判断出各选项的正误，由此可得出结论.【详解】，，所以，复数对应的点可能在第一象限，也可能在第二象限，故A 错误 解析：CD【分析】利用配方法得出复数z 的实部和虚部的取值范围，结合复数的概念和几何意义可判断出各选项的正误，由此可得出结论.【详解】22549492532488t t t ⎛+⎫= ⎪⎝⎭+-->-，()2222110t t t ++=++>， 所以，复数z 对应的点可能在第一象限，也可能在第二象限，故A 错误；当222530220t t t t ⎧+-=⎨++≠⎩，即3t =-或12t =时，z 为纯虚数，故B 错误； 因为2220t t ++>恒成立，所以z 一定不为实数，故C 正确；由选项A 的分析知，z 对应的点在实轴的上方，所以z 对应的点在实轴的下方，故D 正确. 故选：CD.【点睛】本题考查复数的几何意义与复数的概念相关命题真假的判断，解题的关键就是求出复数虚部和实部的取值范围，考查计算能力与推理能力，属于中等题.。

西藏日喀则市南木林高级中学2017-2018学年高一英语下学期期中试题（无答案）注意事项：1、本试题全部为笔答题，共6页，满分120分，考试时间120分钟。

2、答卷前将密封线内的项目填写清楚，密封线内禁止答题。

3、用钢笔或签字笔直接答在试卷(或答题纸上)。

4、本试题为闭卷考试，请考生勿将课本进入考场。

第一部分：阅读理解(共两节，满分40分)第一节（共15小题；每小题2分，满分30分）阅读下面的短文，从每题所给的四个选项中（A,B,C,D）,选出最佳的选项。

AA young woman carrying a three-year-old child got on a bus. The conductor hurried to give her a warm welcome and then kindly asked the other passengers to make more room for the woman and her child. On seeing this, people began to talk. "You know this conductor used to be very rude. Now suddenly he has changed his bad behavior, "said a middle-aged man.” "Yes, he should be praised and we must write a letter to the company,” said a second passenger. "That's right,” another lady said, "I wish a newspaper reporter were here so that more people could learn from this conductor.”Just then a gentleman who looked like a teacher turned to the conductor and said, "Excuse me, but can I know your name, please? Your excellent service must be praised...” Before he could open his mout h, the three-year-old child sitting on the young woman's lap interrupted, "I know his name. I call him Dad.”1. The passengers were ____to see the conductor's kindness to the woman and the child.A. excitedB. pleasedC. interestedD. surprised2. One passenger suggested writing a letter to the company to ______.A. make a demand for more busesB. thank the conductor for his good serviceC. criticize the conductor for his rude behaviorD. invite a newspaper reporter to write about the conductor3. What was the gentleman?A. A teacher.B. A newspaper reporter.C. Not known from the story.D. The conductor's friend from his company.4. The word "he" in the last paragraph refers to ___ __.A. the gentlemanB. the conductorC. the middle-aged manD. the three-year-old child5. It is clear from the story that the conductor _______.A. has changed his attitude towards his workB. has now been kind and polite to all passengersC. has not changed his rude behavior to passengersD. has now been kind and polite to women with childrenBWhen I was in junior high school, I was really a bad boy. My history teacher —Mr. Oven criticized me a lot because I was naughty in his class. By the end of the first semester, I’d had enough of his words and had decided that I would get my revenge on him.The opportunity arose one morning when Mr. Oven was called to the office for a certain reason. While Mr. Oven left, my company Billy and I grabbed Mr. Oven’s lunch bag from under his desk. I opened his sandwich and placed a bug in between the two slices of bread. We put it back and closed it. To keep it in memory, Billy took photos of the whole process. We laughed for weeks over this.Well, it all went south during Thanksgiving break. Billy’s Mother found the pictures in his room, and demanded that he should tell her where these pictures were from. Billy told his mother the whole story, and Mr. Oven was informed. Not only was I punished from school for two weeks, but also I was kicked off the football and basketball team. Before I could return to school, I had to turn in a 1000-word essay on what I did and why I did that. I really felt embarrassing every time I saw Mr. Oven in the hallway for the rest of the school year. I felt a little regret that Mr. Oven left our school the next year.6. Mr. Oven criticized the writer a lot because ________.A. he was naughty in his classB. he didn’t go to his classC. he didn’t answer his questionsD. he was good at his class7. How can you imagine Mr. Oven when he had his lunch?A. He would be glad to eat his delicious sandwich.B. He would eat it as usual when he had his sandwich.C. He would cry because he was afraid of the bug in his sandwich.D. He would be very angry when he found the bug in his sandwich.8. What is the meaning of the underlined sentence “Well, it all went south during Thanksgiving break.” in the third paragraph?A. It was until Thanksgiving break that the secret was let out.B. All the students left on Thanksgiving break.C. All the students went south on Thanksgiving break.D. Billy and I went south during Thanksgiving break.9. What does the phrase “kicked off” mean in this passage?A. firedB. punishedC. scoldedD. hit10. Which one was NOT true according to the article?A. He had to leave school for two weeks.B. He was kicked off the football and basketball team.C. He had to eat the sandwich he had made for Mr. Oven.D. He had to write a 1000-word essay to acknowledge his mistake.CThe Olympic Games are the greatest festival of sport in the world. Every four years, a hundred or more countries send their best sportsmen to compete for the highest honors of the sport. As many as 6 000 people take part in over 20 sports. For the winners,there are gold medals and glory. But there is honor, too, for all who compete, win or lose. That is the spirit of the Olympics—to take part is what matters.The Olympic Games always start in bright color and action. The teams of all the nations parade in the opening ceremony and march round the track. The custom is for the Greek team to march in first. For it was in Greece that the Olympics began. The team of the country where the Games are being held—the host country—marches in last. The runner with the Olympic torch then enters the stadium and lights the flame. A sportsman from the host country takes the Olympic oath on behalf of all the competitors. The judges and officials also take an oath. After the sportsmen march out of the stadium, the host country puts on a wonderful display.The competition begins the next day. There are usually more than twenty sports in the Games. The rule is that there must be at least fifteen. The main events are in track and field, but it is a few days before these sports start. Each day the competitors take part in a different sport—riding, shooting, swimming, and cross-country running. Points are gained for each event. Medals are awarded for the individual winners and for national teams.More and more women are taking part in the games. They first competed in 1900, in tennis and golf, which are no longer held in the Olympics. Women’s swimming events were introduced in 1912, but it was not until 1928 that there were any track and field events for women. Now, they compete in all but half a dozen of the sports. In horse riding, shooting, and boat racing, they may compete in the same events as the men.11. Why is there honor for the losers as well as for the winners?A. Because what really matters is to take part in the Olympic Games.B. Because failure is the mother of success.C. Because losers need encouragement.D. Because losers and winner should be equally treated.12. Which of the following is a longest practice in the opening ceremony?A. Runners enter the stadium with torches.B. Each team puts on a wonderful display.C. Sportsmen and sportswomen wear magnificent clothes.D. The Greek team marches in first.13. Who takes the Olympic oath?A. A sportsman from the host country.B. A judge from a foreign country.C. An officer from the host country.D. A Greek sportsman14. What are the most important events in the Olympic Games?A. The horse riding events.B. The track and field events.C. The swimming events.D. The boat racing events.15. When did women start taking part in the Olympic Games?A. In 1912B. In 1928C. In 1900D. In 1924DAll over the world people enjoy sports. Sports help to keep people healthy and happy, and to live longer. 16 They buy tickets or turn on their TVs to watch the games. Often they get very excited when their player or team wins. 17 Football, for example, has spread around the world. Swimming is popular in all countries nearthe sea or in those with many rivers. What fun it is to jump into a pool or lake, whether in China, Egypt or Italy! 18 Think how many lovers to skate or ski in winter in Japan, Norway or Canada.Some sports or game go back thousands of years, like running or jumping. Chinese wushu, for example, has a very long history. But basketball and volleyball are rather new. Neither one is a hundred years old yet. 19 Water-skiing is one of the newest in the family of sports.People from different countries may not be able to understand each other, but after a game together they often become good friends. 20 One learns to fight（奋斗）hard and fight fair(公平的), to win without pride and to lose with grace. (胜不骄败不馁)A．And think of people in cold countries.B．Sports help to train a person’s character(性格).C．Not a few people participate in different sports competitions themselves. D．Many people like to watch others play games.E. People aren’t inventing new sports or games.F. Some sports are so interesting that people everywhere take part in them.G. People are inventing（发明） new sports or games all the time.第二部分英语知识运用（共两节，满分45分）第一节完形填空（共20小题；每小题1.5分，满分30分）Jane's mother worked on the farm from dawn till dark, which just could make ends meet．To make Jane live a 21 life, Mother was very careful about spending money．22 , Jane didn't understand her．Every day Mother was busy with her 23 while Jane was studying at school, so they had little time to enjoy themselves．One day, Mother realized Jane was unhappy and even 24 to her, so she decided to go 25 with Jane to make Jane happy．On Sunday morning they went happily to the snowfield．Since they were 26 in white clothes, the manager advised them to buy ski clothes．He said 27 there was an accident, they might be easily 28 in their ski clothes．Mother couldn't 29 them, so she refused．Then they went skiing in their white clothes．They were skiing happily on the 30 when suddenly the snowfield began to 31 ．It was the snowslide(雪崩)．They ran a long way and 32 the snowslide finally, but they couldn't find their way．Later, a helicopter(直升机)was flying above, 33 people on it couldn't see or hear them．Jane was 34 because she had hurt her head seriously and 35 dropped on the snow．Just then an idea struck Mother．She cut her wrist(手腕) 36 and then bright red blood dropped down on the snowfield．A red SOS was on the snow．At last Jane 37 , but Mother died．Every time I 38 the blood dropping onto the snowfield, I feel 39 , I believe anyone who hears the tragedy will 40 Mother for her selfless love to her daughter．21.A．happy B．poor C．busy D．sad22.A．Though B．However C．Although D．Or23.A．writing B．housework C．work D．research24.A．unfriendly B．loyal C．kind D．cruel25.A．skating B．dancing C．hiking D．skiing26.A．all B．both C．either D．every27.A．now that B．in case C．as though D．even if28.A．searched B．examined C．found D．caught29.A．cost B．make C．afford D．stand30.A．mountain B．farmland C．playground D．snowfield31.A．change B．melt C．shake D．jump32.A．escaped B．passed C．experienced D．overcame33.A．but B．so C．since D．while34.A．at work B．in danger C．in peace D．in ruins35.A．hair B．blood C．tears D．jewels36. A．carefully B．slowly C．immediately D．hardly37.A．cried B．Died C．woke D．survived38.A．find out B．think of C．suffer from D．come across39.A．satisfied B．curious C．anxious D．painful40.A．admire B．hate C．reward D．think第二节语法填空（共10小题；每小题1.5分，满分15分）阅读下面的材料，在空白处填入适当的内容（1个单词）或括号内单词的正确形式。

2020届日喀则地区第二高级中学高三英语下学期期中考试试卷及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项ALooking to the future, we are now focusing on next year's tours. We are not presently taking bookings, but if a specific tour lifts your spirits, why not mark your interest and we will contact you when the time is right.JapanOctober 2021A centre for technology with natural beauty, Japan is a must-see destination for science and nature lovers. Join us on a special journey across the country during its fantastic autumn to see its amazing landscapes, visit leading scientific institutions and experience robotics and AI.AntarcticaApril to September 2021Join us aboard the Magellan Explorer for an exciting adventure to South Georgia and the Antarctic Peninsula, exploring the world's largest ocean reserve and best ocean ecosystem. Follow in the footstepsof the great scientists while marveling（惊叹）at icebergs, ancient glaciers and ice flies onto volcanic beaches.ItalyMarch and June 2021Encounter the great scientific minds and discoveries of the Renaissance on a cultural adventure across two of its cities, Florence and Bologna. Enjoy beautiful surroundings as you take in the wonderful collections, buildings and churches that demonstrate the period across architecture and paintings.Czech RepublicMay and July 2021Discover the legacy（遗产）of Kepler and Brahe in Prague, a city where astronomy, maths, medicine and architecture connect. Kepler became the father of modern astronomy supported by the observational data from Brahe.1. What can travelers do in Japan?A. Experience space travel.B. Enjoy its spring landscape.C. Visit its scientific institutions .D. Learn about its traditional culture.2. Which of the following can you choose if you are free in August?A. Japan.B. Italy.C. Antarctica.D. Czech Republic .3. What do Italy and Czech Republic havein common?A. Astronomy.B. Architecture.C. Paintings.D. Medicine .BYou must have read "The Tortoise and the Hare(《龟兔赛跑》)" when you were younger. So which animal are you? The tortoise or the hare? Do you rush around trying to do things as quickly as possible? Or do you deal your work at a slow , but steady(稳定的)pace? Whether you approach life like the tortoise or the hare can make a difference in the results you'll see.Some will say that you should avoid being like the hare. After all. he was overconfident and finally lost the race. You mayalso have heard teachers say from time to time that "haste makes waste”. But what does that mean? Most people think it meant that the faster you do something,the more likely it is that you'll make mistakes. Many teaches wantyouto approach your schoolwork thoughtfully and carefully.But does haste always make waste? Not necessarily ! Some people are able to work quickly while also maintaining(保持)a high level of quality in all that they do. Recent research, however, is making the idea of haste making waste seem more believableResearchers found that the brain changes into a special mode(模式)when forced to make rapid decisions. Overall, there appears to be a trade-off between speed and correctness. As the brain makes decisions more quickly, those decisions are usually built on less information, which often leads to a greater likelihood of mistakes.When you approach things like the tortoise. you methodically and steadily work towards your goal. You might not arrive there first, but then again you might! In any case, you're likely to make fewer mistakes and you might just enjoy the journey more than the bare.Goals are great to work towards, but often the achievements aren't what we remember. In the end, the most meaningful and important parts of our lives are the journeys we went on , not the destination we reached. So be the hare when you have to, but always remember that the slow and steady journey is what you’ll remember andtreasure the most.4. Why does the author mention the story in the first paragraph?A. To introduce the topic.B. To show its popularity.C. To suggest its importance.D. To advise readers to read it.5. For what purpose do teachers often say “haste makes waste to students?A. To ask them not to waste their time.B. To tell them it is OK to make mistakes.C. To ask them to avoid making silly mistakes.D. To tell them they should check their schoolwork.6. What is Paragraph 4 mainly about?A. How the brain collects the information it needs.B. When the decision made by the brain is correct.C. Why the quickly-made decision is often unwise.D. What the relationship between lime and results is.7. Which of the following may the author agree with?A. Finishing the race is often a victory for everyone.B. Joy is found not in finishing an activity but in doing it.C. The journey to every destination starts with a small step.D. A destination is important because it guides us on the journey.CWhen I was trying to find a place where to spend my December holidays, I met by chance some cheap flights to Iceland. After checking just a few winter pictures of Iceland, I realized that the country, known as the land of fire and ice, during the cold months of the year could offer me experiences I had never had before.For sure you can’t miss the chance to go to Iceland in winter if your traveling wish list includes at least one of the crazy experiences Iceland can offer. Iceland in the North Atlantic Ocean is a paradise (乐园) for all those who want to see the northern lights, experience cold weather conditions and put themselves in geothermal (地热的) baths while the snow is falling on their head.The best way to move around Iceland is with a rental car. Distances are huge and public transport in winter is not really common out of the major towns. As we wanted to be even more convenient we decided to rent a small camper (野营车). Sleeping and cooking in a camper saved us a lot of driving, money and gave us the chance tobealways in the right place at the right time.There were also no locals and in many cases no tourist facilities (设备). For us, as we slept in a camper, it was easier. But for tourists traveling by normal cars it is necessary to check the opening times ofhotels and restaurants as many of them run just from June to September.It is amazing to experience how the weather is changing in Iceland. However, Icelanders prefer to stay inside their houses. They have even no time to complain about the weather in December. All they care about is Christmas. They love to decorate their houses, sing Christmas songs and eat typical Christmas food.8. Why is Iceland famous as the land of fire and ice?A. Because tourists would like to play with fire on the ice.B. Because it is too dry to easily cause fire to happen.C. Because it is hot inside a house and cold outside.D. Because there exist hot springs and freezing ice.9. What did the author think of the rented camper?A. It was not only practical but also economical.B. It was convenient but cost them more money.C. It provided the best chance to see the new country.D. It was much faster than other public transport.10. What does the last paragraph imply?A. The Icelanders prefer to live with their family.B. The joy of Christmas drives the freezing weather away.C. December is the coldest month of the year.D. The Icelanders are always positive and stay outside.11. What does this passage most probably come from?A. A textbookB. A scientific reportC. A travel magazineD. A news reportDA Bridge Linking Art and the AudienceAccording to a 2018 report, people aged between 16 and 24 make up about 15 percent of the population but only 10 percent of museum-goers. Similarly, people aged over35 go half as much as you would expect from their population size. We have reached the point of recognising the disconnection between art and the audience buthaven’t yet determined how to bridge the gap. Two answers to tackling this challenge lie in telling a greater diversity of art histories and communicating these stories in more accessible ways.In 2018, a radio program called Art Matters was started with the aim of discussing art from a pop-culture viewpoint with topics that would engage younger and more diverse audience. It offers an accessible pathway to art history with conversations on different topics. Art history is about storytelling; art content shines when there is an effort to bring audience along for the discussion.More traditional institutions are paying attention. Recently theGettyMuseumissued a social-media challenge for people to recreate paintings using items they had at home. Users displayed incredible creativity, and the museum was flooded with submissions. This reaction proves that there is a potential desire for the audience to engage with art topics if the format is appealing. Since many people feelintimidatedand think that there’s a base level of understanding required to join the conversation, the Getty initiative serves as a reminder that there are many pathways to engaging with it.Another result of the Getty challenge was the exposure given to a diversity of artworks. The famous opera singer Peter Brathwaite, for example, made scores of attractive recreations highlighting centuries of black paintings. His efforts opposed the idea that there were not many historical paintings of black figures. It is extremely important that we do a better job of showing the complex and diverse stories that are represented in art.Social media have offered a platform for people who have not traditionally had a seat at the table. Anyone can recognise a gap in the field and address it. Accounts have gathered tens of thousands of followers. They are the proof that there is hunger to hear these art histories, and these themes work brilliantly for museum programming.But there is only so much that can be done without the museums and galleries changing meaningfully from within. We need to see a better balance of these stories represented in permanent collections. We also need a much wider diversity of people and interests represented on board. Ensuring that art-and writing and talking about art-is able to continue on the rising generation of storytellers, inside and outside of institutions, getting the funding and support they need to paint a brighter picture for the part.12. What challenge is the author trying to tackle?A. People doubt a great diversity of artworks.B. Fewer and fewer young people go to museums.C. Art appears too distant from common audience.D. Adult audience has a different understanding of art.13. What does the underlined word “intimidated” in Paragraph 3 probably mean?A. Tired.B. Worried.C. Annoyed.D. Surprised.14. In the author’s opinion, the museums and galleries should ________.A. make the art history stories accessible in a traditional way.B. change meaningfully for activities like the Getty challenge.C. limit the number of storytellers both in and out of institutions.D. improve the permanent collections by adding famous artworks.15. We can conclude from the passage that common audience ________.A. lacks the channels to understand and talk about art history.B. prefers to view artworks and hear art stories on social media.C. feels satisfied with people and interests represented on board.D. refuses to engage with diverse art topics and art history stories.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。