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解题方法
1 . 已知复数
,且
,则
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa701dc94f56378824f7b5ec2afa491c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839ba7c0f1fc30151d18a2e337951dd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a733db5c6cac8ba24c86482c9d8facc4.png)
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2 .
是虚数单位,复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3fc19701414f607a543fb81d267ea6.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3fc19701414f607a543fb81d267ea6.png)
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2024-01-25更新
|
1133次组卷
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4卷引用:天津市和平区汇文中学2023-2024学年高一下学期第一次月考数学试题
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3 . 已知
是虚数单位,复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d4cbb921d15309eebe188eee8922120.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d4cbb921d15309eebe188eee8922120.png)
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4 . 若复数z满足
(其中
是虚数单位),则复数z的共轭复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2910beb0c475b3109bd25cf8fd4288a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
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5 . 设
为虚数单位,计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f94845fd57944be533083e4ed82281b.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f94845fd57944be533083e4ed82281b.png)
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6 . 若复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bbeaee42a6d540aefcb012808e5a28f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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2024-02-23更新
|
241次组卷
|
4卷引用:北京市海淀区中关村中学2024届高三上学期12月月考数学试题
北京市海淀区中关村中学2024届高三上学期12月月考数学试题湖南省长沙市雅礼中学2023-2024学年高三上学期月考(五)(1月期末)数学试卷(已下线)7.2.2复数的乘、除运算【第一练】“上好三节课,做好三套题“高中数学素养晋级之路江苏省扬州市树人学校2023-2024学年高一下学期期中调研数学试卷
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7 . 已知
(
为虚数单位),则复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645a1c872e45c51b75aecbdcbbaec3e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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8 . 复数
(
为虚数单位)在复平面上对应的点到原点的距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162df541284d68b1b6a384ca2d03c993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
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9 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a71e73f7b41ec6639b849c399d12963.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a57769f01ec2a3ba35719068d7d716f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a71e73f7b41ec6639b849c399d12963.png)
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2023-12-27更新
|
527次组卷
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2卷引用:广东省深圳市外国语学校高中部2024届高三上学期第四次月考数学试题
10 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0459481c0fb23bc6f2349c753ff9b74.png)
____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0459481c0fb23bc6f2349c753ff9b74.png)
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