1 . 若复数
满足
(其中
为虚数单位),则
的虚部是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/637e79c70a5b7f5cf0f33ab7cb8d3c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.![]() | B.![]() | C.1 | D.![]() |
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2 . 已知复数
则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13489e3355b768554f16a8927e0df276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
A.![]() | B.![]() | C.5 | D.![]() |
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3 . 已知复数
满足
,其中
为虚数单位,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f735d2fa9b746043d0a76503bfdb2c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 已知复数z满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080b0cf80740d2b1f8f18d0ce6a4c4fb.png)
A.复数z在复平面内对应的点在第三象限 | B.复数z的模为1 |
C.![]() | D.复数z虚部为![]() |
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解题方法
5 . 欧拉公式
(
为虚数单位)是由瑞士著名数学家欧拉发明的,被誉为“数学中的天桥”.根据欧拉公式可知,
表示的复数在复平面中位于第__ 象限, 且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534a43f78b85f72f6689bc7d77ec5039.png)
___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc0ab4d45a4bef21ba8ae793f2e76f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27832773ec2f5b6fa653cf030022a1c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534a43f78b85f72f6689bc7d77ec5039.png)
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解题方法
6 . 复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7cf1b92fad1e6de33de3b72b9d4e3be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
A.![]() | B.5 | C.![]() | D.3 |
您最近一年使用:0次
2023-08-25更新
|
498次组卷
|
3卷引用:浙江省杭州第十四中学2023-2024学年高二上学期期中数学试题
7 . 若复数
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9745a29e30218751f0c4882a2c76947b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
A.![]() | B.![]() | C.2 | D.![]() |
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8 . 设
是虚数单位,复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad2b1f562018fccd4881768472b2771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
A.1 | B.![]() | C.![]() | D.2 |
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2023-08-13更新
|
249次组卷
|
2卷引用:浙江省杭州地区(含周边)重点中学2022-2023学年高二上学期期中数学试题
9 . 已知
为虚数单位,复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7393d9ed98cdf2978b9d5eaec0bd32c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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10 . 若复数z满足
(i为虚数单位),则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031c152fc7c96f7f4cc25965b443d85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
A.![]() | B.1 | C.![]() | D.![]() |
您最近一年使用:0次