名校
1 . 已知
为复数,且
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a491320664d2f5bab356117541b83347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6857da3f3d59660750b939c31fb57e.png)
您最近一年使用:0次
2024-05-03更新
|
215次组卷
|
4卷引用:浙江省北斗联盟2023-2024学年高一下学期4月期中联考数学试题
浙江省北斗联盟2023-2024学年高一下学期4月期中联考数学试题浙江省七彩阳光新高考研究联盟2023-2024学年高一下学期4月期中联考数学试题黑龙江省大庆市大庆中学2023-2024学年高一下学期5月期中考试数学试题(已下线)5.2.2复数的乘法与除法-【帮课堂】(北师大版2019必修第二册)
解题方法
2 . 复数
满足
,
是虚数单位,则
的最大值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9511d01dd591c0d98d54424893e880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b22e0475d82269c5d1b70dc8b87291d0.png)
您最近一年使用:0次
名校
3 . 已知复数
满足
(
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/1fb1f04cbbf98e47e6d94047d65a5cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
您最近一年使用:0次
解题方法
4 . 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)
您最近一年使用:0次
5 . 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)
您最近一年使用:0次
6 . 复数
,i为虚数单位,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ae73b891b1b78aadce38e835e20de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
您最近一年使用:0次
解题方法
7 . 已知
,复数
,
,且
,若
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91413c558d7a35bab90e33241c0d9885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/268fb07c54ea51861e9deccab08490c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b885a3eac0dccd96e68f6b584bd14a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a91095e73cc4d985a4875062d953808c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08a59568ecc7f9be2c556bb0e37ca4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a556a5a949dcd55fdf8e5226caa9186c.png)
您最近一年使用:0次
8 . 已知复数
,
(
为虚数单位)在复平面上对应的点分别为
,
,则
的面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39b1df6ec5e2a103d8c1b9bf7557e48a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd2a134a82aac77468b9517676fa71f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c1fd680a5d355178273c6d6025eb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5927f1967a8f72e8fb887edb5023a921.png)
您最近一年使用:0次
2023-04-27更新
|
422次组卷
|
2卷引用:浙江省浙南名校联盟2022-2023学年高一下学期期中联考数学试题
9 . 已知复数
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06f76dc9ceb8c1dc45224fbe51e30ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
您最近一年使用:0次
10 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35845a775881218a4d0a4944dee85ed9.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9be618b361d870dd4137e6864311c3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35845a775881218a4d0a4944dee85ed9.png)
您最近一年使用:0次