1 . (1)已知
,
,
,
.问以上4个复数对应的点是否在同一个圆上?
(2)设
.
(i)求
,
;
(ii)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e8ed860eef3ab728fa3c8394b6ebeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de07ec16aee5be02324ff70b8fda3e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ee8366177d2f85613ba365480fb716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb23c64f741eb376ece7f2bfa0f7ad2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4000fe34bfdca07f458abc6f6d7b143d.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1a2d689d36c15be2d14bf09dc088f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9faf580cb0d4068c2e37b6549a1925cd.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3766d6cc582300585e2dde80391c2325.png)
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解题方法
2 . 已知在复平面内,
为坐标原点,向量
分别对应复数
,且
,
,
.
(1)求实数
的值;
(2)求以
为邻边的平行四边形的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a98c177bd8ccdbb5a7e956e5b81798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e65195557be8406fb6e90202502729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787d89f8bdffc858b51bd795157161af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290666793516650a40708b2bd984a0b1.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95aa323fbc002e36c732051858419868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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2020-03-01更新
|
182次组卷
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3卷引用:人教A版(2019) 必修第二册 突围者 第七章 第二节 课时1 复数的加、减运算及其几何意义
人教A版(2019) 必修第二册 突围者 第七章 第二节 课时1 复数的加、减运算及其几何意义安徽省滁州市定远县民族中学2021-2022学年高一下学期期中考试数学试题(已下线)7.2.1复数的加、减运算及其几何意义【第三练】“上好三节课,做好三套题“高中数学素养晋级之路
名校
3 . 已知
,复数
.
(1)若
是纯虚数,求
的值;
(2)当
为何值时,
对应的点在直线
上?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd502f89f90f109f89a0b77823fcca14.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32c935806559b1a913a7edb3c804999.png)
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2017-05-23更新
|
461次组卷
|
2卷引用:人教B版(2019) 必修第四册 逆袭之路 第十章 10.1.2 复数的几何意义