问题
填空题
若复数z=(2-i)(a-i),(i为虚数单位)为纯虚数,则实数a的值为______.
答案
z=(2-i)(a-i)=2a-1-(2+a)i
∵若复数z=(2-i)(a-i)为纯虚数,
∴2a-1=0,a+2≠0,
∴a=1 2
故答案为:1 2
若复数z=(2-i)(a-i),(i为虚数单位)为纯虚数,则实数a的值为______.
z=(2-i)(a-i)=2a-1-(2+a)i
∵若复数z=(2-i)(a-i)为纯虚数,
∴2a-1=0,a+2≠0,
∴a=1 2
故答案为:1 2