若复数z1=a+i,z2=1-i,且Z1?Z2为纯虚数,则实数a为( )A.1B.-1C.1或-1D.
若复数z1=a+i,z2=1-i,且Z1?Z2为纯虚数,则实数a为( )A.1B.-1C.1或-1D.
日期:2016-05-25 11:41:02 人气:2
由z1=a+i,z2=1-i,则Z1?Z2=(a+i)(1-i)=a+1+(1-a)i.∵Z1?Z2为纯虚数,∴a+1=01?a≠0,解得:a=-1.∴使Z1?Z2为纯虚数的实数a的值为-1.故选:B.
若复数z1=a+i,z2=1-i,且Z1?Z2为纯虚数,则实数a为( )A.1B.-1C.1或-1D.