共50条信息
下列命题中,错误命题的序号是____________.
\(①\)两个复数不能比较大小;\(②z_{1}\),\(z_{2}\),\(z_{3}∈C\),若\((z_{1}-z_{2})^{2}+(z_{2}-z_{3})^{2}=0\),则\(z_{1}=z_{3}\);
\(③\)若\((x^{2}-1)+(x^{2}+3x+2)i\)是纯虚数,则实数\(x=±1\);\(④z\)是虚数的一个充要条件是\(z+\overset{\_}{{z}}\,∈R\).
复数\(z=(a-2a)+(a^{2}-a-2)i\)对应的点在虚轴上,则
若复数\(z\)满足\((3-4i)z=\left| 4+3i \right|\),则\(z\)的虚部为________
若复数\(z\)满足\((3-4i)z=25\),则\(\overline{z}\)的虚部为\((\) \()\)
已知\(z,\omega \)为复数,\((1+3i)\cdot z\)为纯虚数,\(\omega =\dfrac{z}{2+i}\)且\(|\omega |=5\sqrt{2}\),求复数\(\omega \)
若\(z(1-i)=2i\),则 \( \overset{¯}{z} \) 的虚部为\((\) \()\)
已知\(a∈R\),则“\(a\)\(=±1\)”是“\(a\)\({\,\!}^{2}-1+(\)\(a\)\(-1)i\)为纯虚数”的\((\) \()\)
\(i\)是虚数单位,复数\(z\)满足\((1+i)z=2\),则\(z\)的实部为___ __.
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