名校
解题方法
1 . 已知复数
,
,
.
(1)若复数
在复平面内的对应点落在第四象限,求实数
的取值范围;
(2)若复数
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f68c2c5556f04d1fdce13f37076effc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0055868371dd09b74ca4cd76750f9172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34b88f343ca5a4c29057465541b9cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ebc4b0d5565b30f8963cef1c8bd94a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
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2 . 求下列复数的模和共轭复数:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec23c1885674fe321fef02611643c1a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f4b0b3839059e889a1cda0949c160d8.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc7d352662b87dc55a4135668b2d7c78.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720766cf16e992fca349b5e8aa3e7a26.png)
您最近一年使用:0次
2023-10-09更新
|
357次组卷
|
5卷引用:北师大版(2019)必修第二册课本习题第五章1.2 复数的几何意义
北师大版(2019)必修第二册课本习题第五章1.2 复数的几何意义(已下线)第01讲 复数的概念-《知识解读·题型专练》(人教A版2019必修第二册)(已下线)专题7.7 复数全章综合测试卷(基础篇)-举一反三系列(已下线)1.2 复数的几何意义北师大版(2019)必修第二册课本例题1.2 复数的几何意义
3 . 已知复数
,
,试比较它们模的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22214f48085c06e62521bf96c27191b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72e9fd18f32555b174a798588ff51e1.png)
您最近一年使用:0次
解题方法
4 . 已知复数
是纯虚数.
(1)求a的值;
(2)若
,求复数
以及
的模.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277119d43c6c662ca3c024b932dd3e4e.png)
(1)求a的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cfda1b12bb05df424538d2bac53e75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
5 . 已知
,
,其中
表示
的共轭复数.
(1)求
;
(2)若
,求
的模.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95423c449f5d44dd949bf3b0130946f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa0425d24d6a2824c814e85073a14f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55ffa08ed6ed096422af6ff471c569c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a10de1216740ff1542ddb2968de5832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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解题方法
6 . 已知复数
满足
,
.
(1)求
;
(2)设复数
,
,
在复平面内对应的点分别为
,
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad34eb59bbd12c445d4233aee590d3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f082b42a201aa68fe5ab5fb4868ad4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9a3ffcfbb7e7afc27ff27ee8f1d0da.png)
(2)设复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf249b929f874c50db38f178cda273ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc5d00e96037ee7d40ac6832c2d8866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1589d895073ede6bb5bf81e44767e530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/1682ccca6e9c0980813acca038066d61.png)
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解题方法
7 . 已知复数z满足
.
(1)求z;
(2)判定
在复平面内对应点所在的象限.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7a41fc52b5a65f890654650c084cef.png)
(1)求z;
(2)判定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ec712ba4ffa00274942cf029da5473.png)
您最近一年使用:0次
名校
解题方法
8 . 已知复数
.
(1)当
,求
的值;
(2)若
为纯虚数(
是
的共轭复数),求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a115d79a382dc61abe7cf257895ccf9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b011c74f577fc1ad80ce79715de572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8b3f66119c2ce542984d12eb2b6b77.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aac41e358ce240d4812934635788155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
![](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
2023-06-16更新
|
501次组卷
|
4卷引用:新疆维吾尔自治区伊犁州华伊联盟十校期中联考2022-2023学年高一下学期4月期中考试数学试题
名校
9 . 已知复数
为虚数单位
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55de35bad4fa0af5c36932b18c8a8053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58c9b59db78d9edf5b9f0e82f1f4228.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8b3f66119c2ce542984d12eb2b6b77.png)
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2023-04-09更新
|
497次组卷
|
3卷引用:云南省丽江市第一高级中学2022-2023学年高一下学期四月月考数学模拟试题
10 . 已知复数
、
满足
,且
,
,求实数
的值.
![](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/06dfeae3f283a82a33a89237d8d0f47e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf5d170010b565d6c427b72fd6d7c9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9a9276dd89deb42570ffe692e4a12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次