共50条信息
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( )
已知\(i\)是虚数单位,则\({{\left( \dfrac{1-i}{1+i} \right)}^{6}}+{{\left( \dfrac{\sqrt{2}}{1-i} \right)}^{2018}}=\)____________________\(.\)
计算:\({{(\dfrac{1+{i}}{\sqrt{2}})}^{2012}}=\) .
已知复数 \(z=\dfrac{2-{{i}^{2017}}}{1+i}\) ,则\(z\)的共轭复数在复平面内对应的点位于
设复数\(z= \dfrac{1}{{i}^{3}} \),则\(z \)的共轭复数是\((\) \()\)
如果复数\(\dfrac{{{m}^{2}}+i}{1+mi}\)是纯虚数,那么实数\(m\)等于\((\) \()\)
计算\(i+2{{i}^{2}}+3{{i}^{3}}+4{{i}^{4}}+...+20{{i}^{20}}=\_\_\_\_\_\)
已知复数\(f(n)={{i}^{n}}(n\in N*)\),则集合\(\left\{ z|z=f(n) \right\}\)中元素的个数是\((\) \()\)
在复平面内,复数\(z\)满足\(z\left( 1+{{i}^{5}} \right)=\left| 1-\sqrt{3}i \right|\),则\(z\)的共轭复数对应的点位于\((\) \()\)
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