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            • 1.

              若复数\(z=\dfrac{{{i}^{2018}}}{{{(1-i)}^{2}}}(i\)为虚数单位\()\),则\(z\)的共轭复数\(\overline{z}=\)(    )

              A.\(1+i\)
              B.\(i\)
              C.\(-\dfrac{1}{2}i\)
              D.\(\dfrac{1}{2}i\)
            • 2.

              下面四个式子中,正确的是 (    )

              A.\(3i > 2i\)
              B.\(|2+3i| > |1-4i|\)
              C.\(|2-i| > 2i^{4}\)
              D.\(i^{2} > -i\)
            • 3.

              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\((\)    \()\)

              A.第一象限   
              B.第二象限   
              C.第三象限   
              D.第四象限
            • 4.

              已知\(f(n)=i^{n}-i^{-n}(n∈N^{*})\),则集合\(\{f(n)\}\)的元素个数是\((\)    \()\)

              A.\(2\)
              B.\(3\)
              C.\(4\)
              D.无数个
            • 5.

              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(    )

              A.\(\dfrac{\pi }{6}\)
              B.\(-\dfrac{\pi }{6}\)
              C.\(\dfrac{2}{3}\pi \)
              D.\(\dfrac{5}{6}\pi \)     
            • 6.

              计算:\( \dfrac{2+2i}{(1-i)^{2}}·\left( \left. \dfrac{ \sqrt{2}}{1+i} \right. \right)^{2 020} =\)________.

            • 7.

              已知\(i\)是虚数单位,则\({{\left( \dfrac{1-i}{1+i} \right)}^{6}}+{{\left( \dfrac{\sqrt{2}}{1-i} \right)}^{2018}}=\)____________________\(.\) 

            • 8.

              \( \dfrac{-2 \sqrt{3}+i}{1+2 \sqrt{3}i}+\left( \left. \dfrac{ \sqrt{2}}{1-i} \right. \right)^{2 017} =\)________.

            • 9.

              已知复数\(z=i+i^{2}+i^{3}+…+i^{2019}\),则\(z=\)________.

            • 10.

              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\((\)    \()\)

              A.\(1\)   
              B.\(-1\)   
              C.\(i\)  
              D.\(-i\)
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