若复数z=i+1i?1+mi(i为虚数单位)为实数,则实数m=______
若复数z=i+1i?1+mi(i为虚数单位)为实数,则实数m=______
日期:2014-11-21 20:22:09 人气:1
∵复数z=i+1i?1+mi=(1+i)(?1?i)(?1+i)(?1?i)=?1+1?2i2+mi=(m-1)i∵复数z=i+1i?1+mi(i为虚数单位)为实数,∴m-1=0,∴m=1,故答案为:1
若复数z=i+1i?1+mi(i为虚数单位)为实数,则实数m=______