1 . 在复数范围内解下列方程
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1e21dbbe2b04ba44e2a7a0b41be75d3.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1e21dbbe2b04ba44e2a7a0b41be75d3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8646eaa05bfde39d27813c301a076420.png)
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2024-03-18更新
|
501次组卷
|
7卷引用:人教A版(2019) 必修第二册 逆袭之路 第七章 7.2 复数的四则运算 7.2.2 复数的乘、除运算
人教A版(2019) 必修第二册 逆袭之路 第七章 7.2 复数的四则运算 7.2.2 复数的乘、除运算(已下线)7.2 复数的四则运算人教A版(2019)必修第二册课本习题7.2 复数的四则运算(已下线)7.2.2 复数的乘、除运算(导学案)-【上好课】(已下线)7.2.2复数的乘、除运算【第一课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)专题2.2复数的四则运算-重难点突破及混淆易错规避(人教A版2019必修第二册)(已下线)【类题归纳】复数方程 实系复系
2 . 在复平面内,菱形
对角线交点为原点
,且两条对角线长度之比为2:1,顶点
对应的复数是
,设
,
,
三点对应的复数分别为
,
,
,求
,
,
,并计算出
,
,
三点所对应的复数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246d747e26000397caa6a2d0b88c80d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/795493a60182973eaa42b4a65b29bb19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111739c84217132b98585838c6bf0c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e97bce30ba5879aa86338724584fe4.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/0a67a742d2a43e907fb1c3a1bdf1d6a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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解题方法
3 . 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)
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4 . 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
|
172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
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
6 . 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
7 . 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
8 . 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
9 . 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
10 . 设
,若复数
在复平面内的对应点在第三象限,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bffc08b673c01ec35a62b05cbbf8b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次