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数学复数复数z=(m+i)^2的辐角主值是3π/2,则实数m等于

2009-02-19 19:52:42喜***
复数z=(m+i)^2的辐角主值是3π/2,则实数m等于多少数学复数复数z=(m+i)^2的辐角主值是3π/2,则实数m等于多少:z=(m+i)²=(m²-1)+2mi, ∵ argz=3π/2, ∴?

最佳回答

  • z=(m+i)²=(m²-1)+2mi, ∵ argz=3π/2, ∴ 复数z为纯虚数,且虚部为负数,即m²-1=0且m<0, ∴ m=-1
    2009-02-19 22:29:04
  • 很赞哦! (286)