已知复数z的实部大于0，且满足z=根号2（cosθ+isinθ）?
1求复数z 2设z、z^2\z-z62在负平面上的对应点分别为AB求向量AB·向量AC的值 求详解！
1. ∵ Re(a)>0, Im(z^2)=2, ∴ cosθ>0, 2sin2θ=2, 2kπ-π/2<θ< 2kπ+π/2且θ=kπ+π/4, ∴ θ=2kπ+π/4(k∈Z), ∴ z=√2[cos(2kπ+π/4)+isin(2kπ+π/4)]=1+i 2. z^2=2i,z-z^2=1-i, 向量AB=2i-(1+i)=-1+i, 向量AC=(1-i)-(1+i)=-2i, 向量AB·向量AC=(-1+i)*(-2i)=2+2i