名校
1 . 关于复数
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
A.若![]() ![]() | B.若![]() ![]() ![]() |
C.![]() | D.若![]() ![]() ![]() |
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2 . 复数
与
分别表示向量
与
,则表示向量
的复数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08031dbbe2675d637111bee35971f37f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ddd40fe0ea59e90db3d4bed1f7a965.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083a20abb668d4c26fe5039bd108b40a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 若复数z与
都为纯虚数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673b9e00c8a34499fe823f840eccc32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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4 . 设
是虚数单位,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa2bfe4c392c5c3ef4cbc53aea45cf9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 在复数范围内,记方程
的两根为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3c02084a4cfb3353efa35ff2ab5c63.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8646eaa05bfde39d27813c301a076420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3c02084a4cfb3353efa35ff2ab5c63.png)
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解题方法
6 . 已知
,则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6227fc796e13ab80f2b5ccd4a8769588.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-07-25更新
|
1029次组卷
|
6卷引用:江苏省连云港市东海县2020-2021学年高一下学期期中数学试题
江苏省连云港市东海县2020-2021学年高一下学期期中数学试题浙江省金华市第一中学2023-2024学年高一下学期4月期中考试数学试题(已下线)高一数学下学期期中精选50题(提升版)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)(原卷版)安徽省蚌埠市2022-2023学年高一下学期期末学业水平监测数学试题广东省广州市玉岩中学2023-2024学年高三下学期开学考数学试卷贵州省六校联盟2024届高考实用性联考(三)数学试题
7 . 在复平面内有一个
,点
为坐标原点,点
对应的复数为
,点
对应的复数为
,点
对应的复数为
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e698404fde91350c873592032ea5326.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/b2c916fd7ddb4e800d98b15ce54c4d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d41666bc3719d3b0c59f28128c4508e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a67a742d2a43e907fb1c3a1bdf1d6a9.png)
A.点C位于虚轴上 | B.![]() |
C.![]() | D.![]() |
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解题方法
8 . 已知复数
,复数
,
(1)若
,求实数
的值;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f19067a40926e31d77ee4cb1293be6e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab15cfa691e78c4caf7d23046df9eca.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672ddb41fe987078cb16566a3bafa964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da4e6752d8c8a0705194f2b2f16ab5d.png)
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解题方法
9 . 已知
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6227fc796e13ab80f2b5ccd4a8769588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77138483e183730dc3d94cdf96370f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bf995910585806e3a7165288e7fe904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41813be61104fce7a33368d0a4429651.png)
A.1 | B.![]() | C.![]() | D.2 |
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2023-06-18更新
|
413次组卷
|
6卷引用:江苏省南通市2022-2023学年高一下学期4月期中数学试题
江苏省南通市2022-2023学年高一下学期4月期中数学试题江苏省南通市海安市实验中学2022-2023学年高一下学期期中数学试题(已下线)模块二 专题4 《复数》单元检测篇 B提升卷 (苏教版)(已下线)模块一专题6《复数》 【讲】(苏教版)江苏高一专题06复数江西省吉安市吉州区部分学校2022-2023学年高二下学期期末联考数学试题
10 . 关于复数
(
为虚数单位),有下列四个命题:①
;②
;③z·
=4;④z+
=|
|;且上述四个命题中只有一个是假命题.
(1)请问假命题是哪一个,并求出复数z;
(2)设复数z1、z2满足
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b40b6895776e0807c2baecbc8f33a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f778d6cbf88981235468cac8939777a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
(1)请问假命题是哪一个,并求出复数z;
(2)设复数z1、z2满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ae7aec61e72dc5061d7ed6189b11bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9f547fc3eece11fa6a50fbc7463c78.png)
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