复数m?i2+3i(i为虚数单位)为纯虚数,则实数m的值为(  )A.13B.12C.35D.3

日期:2016-01-19 15:24:17 人气:3

复数m?i2+3i(i为虚数单位)为纯虚数,则实数m的值为(  )A.13B.12C.35D.3

m?i2+3i=(m?i)(2?3i)(2+3i)(2?3i)=2m?3?(3m+2)i13=2m?313?3m+213i,∵复数m?i2+3i(i为虚数单位)为纯虚数,∴2m?313=03m+213≠0,解得m=32.故选:D.
    A+
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