23-24高一下·全国·课堂例题
1 . 求下列复数的模:
(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
2024高一下·全国·专题练习
2 . 计算:
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5dfdce6911aae8d0bfb491b7b28f37.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eba78712e268d177e3146b220671bd9.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290901e3f4d52f8f96a88bbceea6770c.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5fb50fda5e279fdfb626bfb28925ed.png)
您最近一年使用:0次
3 . 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
|
358次组卷
|
5卷引用: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)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)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)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
解题方法
4 . (1)在复平面上画出与以下复数
,
,
,
分别对应的点
,
,
,
.
,
,
,
.
(2)求向量
,
,
,
的模.
(3)点
,
,
,
中是否存在两个点关于实轴对称?若存在,则它们所对应的复数有什么关系?
![](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/3b29a77cfdb8d2a0b684389921e1496c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a976c188b072c749662aedf482193dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11988aa7569790689bea75a91925eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0c37c074c1b18db19e9a315abe7815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a1508dfc7acb431d0ffc31e549e353.png)
(2)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96cb7ee166966ed0b1605c263e433cf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc77d6da6e8f3ad5c239e7cc6c9930c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed22ce98b22693a90269d933bb6c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a7cb1e5ee3fe9de342bb85371db7e5.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
您最近一年使用:0次
解题方法
5 . 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
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)
您最近一年使用:0次
7 . 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
解题方法
8 . 已知复数
满足
,求复数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d368fac2ec7cd1242ae43778af4ff28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
您最近一年使用:0次
9 . 已知复数
,存在实数
,使
成立.
(1)求证:
;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e7041dbc646788715a09cdddee1e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91fcea4dbeeb98c189a6f0de01b8ff5.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd4323d40f527f039a2dd9a0e2113bb8.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042c0c7e253a65f770583c5c6696770.png)
您最近一年使用:0次
解题方法
10 . 已知复数
,i为虚数单位.
(1)当z是纯虚数时,求m的值;
(2)当
时,求z的模.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cee5bdd7ae1f4820d61a58e5321e0f5.png)
(1)当z是纯虚数时,求m的值;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
您最近一年使用:0次
2022-11-16更新
|
624次组卷
|
8卷引用:第七章 复数(基础检测卷)
(已下线)第七章 复数(基础检测卷)(已下线)第七章 复数(基础、典型、易错、压轴)分类专项训练(1)(已下线)10.1.2 复数的几何意义-【帮课堂】(人教B版2019必修第四册)黑龙江省哈尔滨市通河县第一中学2020-2021学年高一下学期期末数学试题第十章 复数(A卷·基础通关练)-【单元测试】2022-2023学年高一数学分层训练AB卷(人教B版2019必修第四册)第七章 复数(A卷·基础提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(人教A版2019必修第二册)新疆阿克苏市实验中学2022-2023学年高一下学期第二次月考数学试题福建省长汀县第二中学2023-2024学年高一下学期3月月考试卷数学试卷