1 . 若复数
满足
,则复数
的模![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d75f2f001c8adfc8b3f4cd6e61dea19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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2 . 在复平面内,复数
对应的点Z的坐标为________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e951f086d8b0f8459878656eb29274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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3 . 已知复数
满足
,则
的虚部为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7f49c6878660ae6eafa197c157632f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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4 . 在复平面内,复数z对应的点的坐标是
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21f849af0d8112dce339b2f0a52383b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 若复数
,则复数z在复平面内对应的点位于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/649a16cc5cb5ae31f053c2d630ec1067.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
您最近一年使用:0次
2024-06-16更新
|
163次组卷
|
2卷引用:北京市汇文中学2023-2024学年高一下学期期中考试数学试卷
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6 . 已知复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545141bbe7cc66d18946a129179d8df1.png)
________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a77be16b5cda28c9de818862e60b984.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545141bbe7cc66d18946a129179d8df1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
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7 . 已知复数
,
,其中
.
(1)求
的值;
(2)求
的最大值并说明取得最大值时
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148bdb4f44fbf37423f62bb9277f6b0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a031f4622a404d9973a305ca9d0f54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae470980d6e3b53c65b9d42d1f011c5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157f1f577be9eafeed9cf8a290026fb3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a9ba13c16ce6e6d3260452597f2859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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8 . 设
为复数,且
(
为虚数单位),则![](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/2ff788f86edb479a0c1a75959f376bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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9 . 复数
在复平面内对应的点的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8648b214f299170fcd754810f45ee82.png)
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10 . 若复数
,
,则复数
在复平面内对应的点在( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa5f719b7359c88b5861bfdae21e6d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56627cf6bfb4441418e0eac85e8a30b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22de14a375ef0f3c57680e1dd01ebfd9.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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