2024·全国·模拟预测
1 . 已知复数
在复平面内对应的点的坐标为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab467177cceb8400b9574b5924e8a054.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77ac0286aeeda5e6fe54e6dbfd3ceeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab467177cceb8400b9574b5924e8a054.png)
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2 . 计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0085492b88554f03de9706620de0b0a6.png)
________ (其中
为虚数单位).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0085492b88554f03de9706620de0b0a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
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2024·全国·模拟预测
3 . 若复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca6c17df8a51bb6492426fddcfb622.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c04157d8c67c63941b293bc0b615a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca6c17df8a51bb6492426fddcfb622.png)
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解题方法
4 . 已知复数
满足
,且
是纯虚数,试写出一个满足条件的复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b918ec68a4ef3251ca2623dffd77b88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eff9ab528134f9d44ad92844d042e0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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5 . 已知复数
,则在复平面内,
所对应的点的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84c00b6123de16b304e3735f6264df89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
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2024·全国·模拟预测
解题方法
6 . 已知
为虚数单位,
,复数
在复平面内对应的点在第四象限,写出满足题意的
的一个值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd10968900343aaaa158451018166fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9bd60ef80888c1eb4f64c7961055da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d6a68a40555aa8aed83bf121c8d9ab.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d6a68a40555aa8aed83bf121c8d9ab.png)
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8 . 已知复数
的实部为5,虚部为-1,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe2532d7080efb5079e7435100164a9.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe2532d7080efb5079e7435100164a9.png)
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2024-04-22更新
|
440次组卷
|
3卷引用:第5章复数章末十五种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)
(已下线)第5章复数章末十五种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)天津市新华中学2024届高三统练(十一)数学试题安徽省智学大联考·皖中名校联盟2023-2024学年高一下学期期中检测数学试卷
9 . 已知
是虚数单位,复数
是纯虚数,则实数
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b240e3590fbdc76843358fe00c3f9c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
10 . 设复数
(
为虚数单位),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520f6329d8c9b339a1a6d3b69f2fa68b.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/317f24346dd1d24fc50acdb22e003af1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520f6329d8c9b339a1a6d3b69f2fa68b.png)
您最近一年使用:0次