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(2010•昌平区二模)若复数z=1mi1-i(m∈R,i是虚数?

2017-10-12 21:40:00女***
(2010•昌平区二模)若复数z=1 mi1-i(m∈R,i是虚数单位)是纯虚数,则m=( )A.-iB.iC.-1D.1(2010•昌平区二模)若复数z=1mi1-i(m∈R,i是虚数单位)是纯虚数...(2010•昌平区二模)若复数z=1mi1-i(m∈R,i是虚数单位)是纯虚?

最佳回答

  • 解答:解:∵复数z=1 mi1-i(m∈R,i是虚数单位)
    =(1 mi)(1 i)(1-i)(1 i)
    =1-m (m 1)i2,
    ∵复数是纯虚数,
    ∴1-m=0,1 m≠0,
    ∴m=1,
    故选D.
    2017-10-12 11:01:00
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