共50条信息
已知\(i\)为虚数单位，复数\(z\)满足\(z(1-i)=1+i\)，则\({{z}^{2017}}=\) \((\) \()\)
计算：\((1)\) \((4-{{i}^{5}})(6+2{{i}^{7}})+(7+{{i}^{11}})(4-3i)\) \((2)\) \(\dfrac{5{{(4+i)}^{2}}}{i(2+i)}\)
在复平面内，复数\(z=\dfrac{1}{1+i}+{{i}^{2018}}\)对应的点位于\((\) \()\)
若\(z= \dfrac{1}{2}+ \dfrac{ \sqrt{3}}{2}i\)，且\((x-z)^{4}=a_{0}x^{4}+a_{1}x^{3}+a_{2}x^{2}+a_{3}x+a_{4}\)，则\(a_{2}=(\) \()\)
\(\left( \left. \dfrac{1+i}{1-i} \right. \right)^{6} + \dfrac{ \sqrt{2}+ \sqrt{3}i}{ \sqrt{3}- \sqrt{2}i}=\)_______．
复数\(z{=|}(\sqrt{3}{-}i)i{|+}i^{2017}(i\)为虚数单位\()\)，则复数\(z\)的共轭复数为\(({ })\)
复数\(z=a(1+i)-2(i\)为虚数单位\()\)为纯虚数，则\(a=\)________；\(|z|=3\)表示的图形是_______________________．
设\(i\)为虚数单位，则\((\dfrac{1{+}i}{i})^{2014}\)等于\(({ })\)
复数\(z{=|}(\sqrt{3}{-}i)i{|+}i^{5}(i\)为虚数单位\()\)，则复数\(z\)的共轭复数为\(({ })\)
进入组卷