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1、复数单元测试题1复数的虚部为()A3B 3 C2 D 2 2复数的虚部是()ABCD3复数()A2 B 2CD4=()ABCD5复数的共轭复数是()ABCD6设 a 是实数,且是实数,则a=()AB 1 CD2 7若复数z=(a22a)+(a2a 2)i 对应的点在虚轴上,则()Aa2 或 a 1B a2 且 a 1 Ca=2 或 a=0 Da=0 8.在复平面内,复数对应的点位于()A第一象限B第二象限C第三象限D第四象限9设 a1,复数 z 满足(1+ai)z=i+a,则 z 在复平面上对应的点位于()A第一象限B第二象限C第三象限D第四象限10若所对应的点在第二象限,则实数的取值范围是(
2、)A.B.C.D.11设 z 的共轭复数是,,,则_.12已知,其中是虚数单位,那么实数_.13 设(其中表示 z1的共轭复数),已知 z2的实部是,则 z2的虚部为 _.14给出下列命题:若zC,则 z20;若a,bR,则 a+ib+i;aR,则(a+1)i是纯虚数;若复数z 满足方程,则.其中正确的命题是_.(写出你认为正确的所有命题的序号)15计算:(1)(2)(3)16 m(m R)取什么值时,复数是(1)实数;(2)虚数;(3)纯虚数.17设复数()和复平面上的点Z(a,b)对应,a、b 必须满足什么条件,才能使点Z 位于:(1)实轴上;(2)虚轴上(不含原点);(3)上半平面(含实
3、轴);(4)左半平面(不含虚轴及原点).18若 log2(x2-3x-2)+i(x2+4x+4)1,求实数x 的值或范围.19设,求满足且的复数.20设 P、Q 两点分别表示复数z 与在复平面上的点,若点P 在以原点为中心,以 2 为半径的圆上运动,求点Q 的轨迹方程.21已知复数z=(2cos+1)+(-2+sin)i,其中为参数,求z 在复平面上对应点的轨迹.22已知,解方程:;参考答案:基础达标:1D;2B;3A;4A;5B;6B 7C;8.D;9 D 10 D;解析:所对应的点在第二象限文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6
4、F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 Z
5、H4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6
6、F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 Z
7、H4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6
8、F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 Z
9、H4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6
10、F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1且且11;解 析:设(),则,且,当,时,;当,时,.故.12 1;解析:,且,即.131;解析:设(),则,故 z2的虚部为.1415 解析:(1)(2)法一:法二:(3).16 解析:(1)时,z 为实数(2)时,z 为虚数文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1
11、O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3
12、 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1
13、O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3
14、 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1
15、O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3
16、 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1
17、O8Z1(3)时,z 为纯虚数17.(1)b=0;(2)a=0 且 b0;(3)b0;(4)a0.18解析:19或解析:设(),则即或(1)当时,|,或,又当不合题意舍去,时(2)当时,又,由,解得,综上,或2021椭圆解析:设 z=x+yi(x,y R)由复数的相等得到:z 在复平面上对应点的轨迹为以点(1,-2)为中心,长轴在直线y=-2 上,短轴在直线x=1上的椭圆.22 解析:依题意文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K
18、3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编
19、码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K
20、3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编
21、码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K
22、3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编
23、码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K
24、3F9R3 ZH4H6H1O8Z1或或依题意或时,时,综上,方程的根为x=1 或或文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB
25、5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z
26、1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB
27、5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z
28、1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB
29、5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1文档编码:CL4S6F2I2Q3 HB5G9K3F9R3 ZH4H6H1O8Z1