复数测试题---超级全面
复数测试题评卷人得分一、选择题(题型注释)1.设i为虚数单位,则复数\frac {3-4i}{i}=()A.-4-3iB.-4+3iC.4+3iD.4-3i2.在复平面内,复数Z=(5+4i)+(-1+2i)对应的点所在的象限是()A.第一象限B.第二象限C.第三象限D.第四象限3.已知\frac {1+ai}{1-i}为纯虚数(1是虚数单位)则实数a=()A.1B.2C.-1D.-24.i是虚数单位,\overline {z}表示复数z的共轭复数.若z=1+i,则\frac {z}{i}+i \cdot z=(A)-2(B)2(C)-2i(D)2i5.若复数\frac {a+i}{2i}的实部和虚部相等,则实数a=A.-1B.1C.-2D.26.复数Z满足z \cdot i=3-i,则在复平面内,复数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7.已知i是虚数单位,若z(1+3i)=i,则z的虚部为A.\frac {1}{10}B.- \frac {1}{10}C.\frac {i}{10}D.- \frac {i}{10}8.已知t \in R,i为虚数单位,复数z_{1}=3+4i,z_{2}=t+i,且z_{1} \cdot z_{2}是实数,则t等于()A.\frac {3}{4}B.\frac {4}{3}C.- \frac {4}{3}D.- \frac {3}{4}9.若复数z=a^{2}-1+(a-1)i(i为虚数单位)是纯虚数,则实数a=()A.±1B.-1C.0D.110.i是虚数单位,复数z= \frac {2}{1-i}的模为A.1B.2C.\sqrt {2}D.\frac { \sqrt {2}}{2}11.复数z=(\frac { \sqrt {2}i}{1-i})^{2}的值为()A.1B.iC.-1D.-i12.