共50条信息
已知\(i\)为虚数单位,复数\(z=\dfrac{2+i}{1-2i} \),则\(z^{3}=(\) \()\)
设\(i\)为虚数单位,复数\(z\)满足\(z(1+i)=2{{i}^{2018}}\),则\(z\)等于
已知复数\(Z{=}i+2{{i}^{2}}+{{i}^{10}}\),则\(|z|=\)( )
\({{(\dfrac{1}{2}-\dfrac{\sqrt{3}}{2}i)}^{3}}=\) ( )
若复数 \(z=\dfrac{1+i}{1-i}\) ,\(\overline{z}\)为的共轭复数,则\({{\left( \overline{z} \right)}^{2017}}=(\) \()\)
已知\(i\)为虚数单位,则 \(\dfrac{1+i}{3-i}=\)
计算\(( \dfrac{1+i}{1-i}{)}^{2017}+ \dfrac{1-i}{1+i}{)}^{2017} =\)( )
若\(z=\left(a- \sqrt{2}\right)+ai \)为纯虚数,其中\(a∈R \),则\( \dfrac{a+{i}^{7}}{1+ai}= (\) \()\)
已知\(a\)为实数,若复数\(z=({{a}^{2}}-1)+(a+1)i\)为纯虚数,则\(\dfrac{a+{{i}^{2016}}}{1+i}\)的值为\((\) \()\)
\(i^{2}+ i^{4}=\)
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