问题
选择题
设复数z1=1-i,z2=-1-xi(x∈R),若z1z2为纯虚数,则x的值是( )
A.-1
B.-2
C.1
D.2
答案
复数z1=1-i,z2=-1-xi(x∈R),
若z1z2=(1-i)(-1-xi)=-1-x+(1-x)i,
若z1z2为纯虚数,则x的值是:-1;
故选A.
设复数z1=1-i,z2=-1-xi(x∈R),若z1z2为纯虚数,则x的值是( )
A.-1
B.-2
C.1
D.2
复数z1=1-i,z2=-1-xi(x∈R),
若z1z2=(1-i)(-1-xi)=-1-x+(1-x)i,
若z1z2为纯虚数,则x的值是:-1;
故选A.