1 . 如图,向量
与复数
对应,把
绕原点O按逆时针方向旋转
得到
,求
对应的复数(用代数形式表示),写出你的思考过程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb0e25bbccbee4a1b9db38b49e87978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8902c5c098f5f4787fcb0ca8f3e334c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb0e25bbccbee4a1b9db38b49e87978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf2d033664f89ef059ac8303622a3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e79725f2284e9e3d3bdb45b914d2ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e79725f2284e9e3d3bdb45b914d2ed.png)
您最近一年使用:0次
解题方法
2 . 设复数
,若复数
的虚部减去其实部的差等于
,求复数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729d5f145c264bce3eb16e25740119b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb27bedb8728d91c8285c165fd5853c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
您最近一年使用:0次
3 . 证明:若
,则
(
是任意的非零复数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de59a6da1ee210ccf04651ae53275dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/740b5de15d571293281f351b78a20db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
您最近一年使用:0次
4 . 计算:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b40e8cdc9dbde145999a9d58e1e874d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3d4f1ed79217762624500a91bf27dc.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18be9278d3dc237d99df0b41a3b1c32.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc75f93dcb05c2eb4632a9898ca7c479.png)
您最近一年使用:0次
5 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/395ad5bbe58995390ea9761b82253b39.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086ebf08cbb00cad01feb2ccb7635f8c.png)
您最近一年使用:0次
解题方法
6 . 已知
为实数,并且
的实部与虚部相等,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25cf25265a124afde6fae649ecf109ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
7 . 计算:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e35eda00c20871785ba6dcc4ab73df15.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b766367edfade0b4c11fc5767a52f41.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c6f630e3e458613b890fa9cb70b3d4.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1dcea785a7665ff8c9b7f9017c2cb67.png)
您最近一年使用:0次
8 . 计算(其中
):
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f81585bdd151f8943d92be9317103c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4493b2b64e717567dc9d3a93b1773669.png)
您最近一年使用:0次
9 . 已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
,求证:
(1)
;
(2)
;
(3)
;
(4)
.
![](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/41c54de16ee463c02d1e26f0a86a4223.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001ecfa2f7fd551ecf48fd32a1cd3971.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d9fa392ec880e0e590bd1a90599e92.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291d415ccb6166e7af7a5d98a5998504.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68aef48075c9b177803def07ac6cf99d.png)
您最近一年使用:0次
2023-10-09更新
|
170次组卷
|
3卷引用:北师大版(2019)必修第二册课本习题 习题5-2
10 . 计算:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee80c41dbedfe9082adb5f041638a794.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a7a7b22e9f9d5ba82ae8b9219505ff.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73fae75826511a2ead2cab5437fe4a11.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3eebb593e1ef79d8fb4f9ca46760cc.png)
您最近一年使用:0次