已知
,求复数z.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50e7af90b6edc0ab8ae0e68dc197164.png)
更新时间:2020-05-16 12:02:10
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【推荐1】设复数z1=1-ai(a∈R),复数z2=3+4i.
(1)若
,求实数a的值;
(2)若
是纯虚数,求|z1|.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585d9fb89e364e71e7f4097a82d3aed8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79019404d014cb5348c5141fb0202f2b.png)
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【推荐2】已知i为虚数单位,m为实数,复数
.
(1)若
为实数,求m的值;
(2)若
为复数z的共轭复数,若复数
在复平面上对应的点在第四象限,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f919d8397fe4d3def6598b1528c807.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef769310de09c15355f0223873bde63a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9a29bdcee8af690243f7ea7fe2b134.png)
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适中
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【推荐1】已知复数
(其中
为虚数单位)
(1)求复数
;
(2)若复数
所对应的点在第三象限,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dce28fdd3dcf8a487f3b1ce2dcde533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
(1)求复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d8b3e72a13adaeff451187005dfa3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】已知复数
满足
,
是
的共轭复数,且
为纯虚数,
在复平面内所对应的点
在第二象限,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f32c241a1b97713333e7e8f0962503f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976ede30aa842926be641f75698291cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df76ef45e4d88606e398846a47c0ced.png)
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