- i2013=( )A.1B.-1C.iD.-i
- 已知m∈R,复数Z=m(m-1)+(m-1)i当m为何值时,(1)Z∈R; (2)Z是虚数; (3)Z是纯虚数.
- (1+i1-i)2007等于( )A.iB.-iC.22007D.-22007
- 当m分别为何实数时,复数z=m2-1+(m2+3m+2)i是(1)实数?(2)虚数?(3)纯虚数?(4)零?
- 若复数(1-i)(a+i)是实数,则实数a=______.
- 已知复数z满足z+7z∈R,又|z-1|+|z-3|=4,求复数z.
- 已知m∈R,复数m-i1+i为纯虚数(i为虚数单位),则m=______.
- 如果复数z=(a+i)(1-i)为纯虚数,那么实数a等于( )A.2B.1C.0D.-1
- 对任意复数z=x+yi(x,y∈R),i为虚数单位,则下列结论正确的是( )A.|z-.z|=2yB.z2=x2-y2C.|z-.z|≥2xD.|z|≤|x|+|y|
- i2011等于( )A.1B.-1C.iD.-i
- 若复数z=(x2-1)+(x-1)i为纯虚数,则实数x的值为( )A.-1B.0C.1D.-1或1
- 复数z=1-2i的虚部和模分别是( )A.-2,5B.-2i,5C.-2,5D.-2i,5
- 若复数z=(x2+2x-3)+(x-1)i为纯虚数,则实数x的值为( )A.3B.1C.-3D.1或-3
- 已知0<a<2,复数z的实部为a,虚部为1,则|z|的取值范围是( )A.(1,5)B.(1,3)C.(1,5)D.(1,3)
- 复数(m-1)+(m2+3m+2)i是纯虚数,则m的值为( )A.1B.2C.1或2D.1或0