共50条信息
若复数\(z=\dfrac{{{i}^{2018}}}{{{(1-i)}^{2}}}(i\)为虚数单位\()\),则\(z\)的共轭复数\(\overline{z}=\)( )
下面四个式子中,正确的是 ( )
已知\(a\in R\),若\(\dfrac{a+2i}{4-i}\)是纯虚数,则在复平面内,复数\(z=ai+{{i}^{2018}}\)所对应的点位于\((\) \()\)
已知\(f(n)=i^{n}-i^{-n}(n∈N^{*})\),则集合\(\{f(n)\}\)的元素个数是\((\) \()\)
设复数\(\sqrt{3}-{{i}^{2017}}\)在复平面内对应的点为\(A\),过原点和点\(A\)的直线的倾斜角为( )
计算:\( \dfrac{2+2i}{(1-i)^{2}}·\left( \left. \dfrac{ \sqrt{2}}{1+i} \right. \right)^{2 020} =\)________.
已知\(i\)是虚数单位,则\({{\left( \dfrac{1-i}{1+i} \right)}^{6}}+{{\left( \dfrac{\sqrt{2}}{1-i} \right)}^{2018}}=\)____________________\(.\)
\( \dfrac{-2 \sqrt{3}+i}{1+2 \sqrt{3}i}+\left( \left. \dfrac{ \sqrt{2}}{1-i} \right. \right)^{2 017} =\)________.
已知复数\(z=i+i^{2}+i^{3}+…+i^{2019}\),则\(z=\)________.
已知复数\(z= \dfrac{1+i}{1-i} \),其中\(i\)是虚数单位,则\(z^{2017}\)的虚部为\((\) \()\)
进入组卷