1 . 已知
,
是方程
的两根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22c2ddd5044a27e5e53d86d6b93bbfa.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7525c9480d4b7ac129996dbd7b1cb7cb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20ac62f808bd32a4d6fcbe4ae681548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22c2ddd5044a27e5e53d86d6b93bbfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7525c9480d4b7ac129996dbd7b1cb7cb.png)
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2 . 已知复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedf42361f836b0e6d1291bf61d32cb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
您最近一年使用:0次
2024-05-09更新
|
222次组卷
|
2卷引用:安徽省太和中学2023-2024学年高一下学期第二次教学质量检测(4月)数学试题
3 . 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
|
436次组卷
|
3卷引用: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
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(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
2024高一下·全国·专题练习
名校
解题方法
4 . 设
是复数且
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd02a57662f207c975fa50cdab3a9c18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
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5 . 复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5560bda5932577af93557f9c4507c78a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
您最近一年使用:0次
6 . 已知
为虚数单位,复数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1831edb185cd71e0a092a5e1e0c91bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
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7 . 欧拉公式
(i为虚数单位,
)是由瑞士著名数学家欧拉发现的,它将指数函数的定义域扩大到复数,建立了三角函数和指数函数之间的关系,它被誉为“数学中的天桥”.根据此公式可知,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f6c5f351af3d5275cfc45f947a9bef.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077d3127494e1bde3bfe6ab71e9974b5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abfa007ea5744567c67bebd638bd5cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f6c5f351af3d5275cfc45f947a9bef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077d3127494e1bde3bfe6ab71e9974b5.png)
您最近一年使用:0次
8 . 已知复数
满足
,则![](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/2d7efbaa078f3024c51ade9c41a13512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
您最近一年使用:0次
2023-05-21更新
|
423次组卷
|
4卷引用:安徽省皖北县中联盟2022-2023学年高一下学期5月联考数学试题
名校
解题方法
9 . 已知复数
的模是
且其虚部大于0,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc733c3386c7eef5cda9406cc8b3e6fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4056761b8f826eeb6ad8c9a151d3c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
名校
10 . 已知
是纯虚数(其中
,
是虚数单位),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686b2b109e7c06e5494401b045ac7e0a.png)
______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b9cc4ad278731e81285e0d47815c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686b2b109e7c06e5494401b045ac7e0a.png)
您最近一年使用:0次
2023-09-01更新
|
543次组卷
|
2卷引用:安徽省安庆市第二中学2021-2022学年高一下学期6月月考数学试题