解题方法
1 . 已知在复平面内复数
,
对应的向量分别为
,
.若
,
,则
在
上的投影向量为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a30deb1f343048675b9b231620369668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1640d3fff861f45c5eb4019943b000f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef015c99536d13f1386bbb9a1dcaecea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53567e079aa639860d5291a9bb33951a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f8778ad94fcca5fae776241d3fd39e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a30deb1f343048675b9b231620369668.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知三个复数
,
,
,且
,
,
,
所对应的向量
,
满足
;则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a67a742d2a43e907fb1c3a1bdf1d6a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db439eae71afd7b462a07c61d3861330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb7982e6e8af1887c360ac901143840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a30deb1f343048675b9b231620369668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1640d3fff861f45c5eb4019943b000f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342546266d9cfe028e7f471b96e92212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17a57d4e598f772b9cbebd54d153289.png)
您最近一年使用:0次
昨日更新
|
233次组卷
|
3卷引用:四川省平昌中学2023-2024学年高一下学期第二次月考数学试题
解题方法
3 . 已知复数
,
(
),且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11df2383c01777befb858b66ba99fca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b9d791542d5f0800efce0fd0626f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b586fb1043595a3dc45e21e3497dea13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f376987ceb973ac9d913c365a91c428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
4 . 已知复数
(
).
(1)若
是纯虚数,求
的值;
(2)若
在复平面内对应的点在第四象限,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2f207a0e5afc530a25ae2dec1499e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
5 . 已知复数
在复平面内对应的点分别为
,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ ;若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5274f9384f8a7dd28ecf13f9ffbc87b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32458db21db3e131308b31f48353fbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2945cbc4ff0cb87a163b660d7b8d07fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
名校
解题方法
6 . 设i为虚数单位,计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da00c954d6628ee6e82c937c29fd8e1c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da00c954d6628ee6e82c937c29fd8e1c.png)
您最近一年使用:0次
解题方法
7 . 复数
(
为虚数单位),则复数
在复平面内对应的点在( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3e7e1e11b3303103a50f274832e5bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.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
2023高一·上海·专题练习
解题方法
8 . 已知复数
且
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70c2519610d6d1d6d0855b0f27dfc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdc47115b1d8ed3a6b36bfff24f6579.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 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.![]() |
您最近一年使用:0次
名校
解题方法
10 . 在复平面内,已知复数
满足
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a6127234f0fb99c178b7a9778c1fe7.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db439eae71afd7b462a07c61d3861330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011b0fb90081707a1351d382ee6cccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a6127234f0fb99c178b7a9778c1fe7.png)
您最近一年使用:0次