名校
1 . 已知
,其中
为虚数单位,则
()
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf684f7d588f5ac4c16eac796a62fba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
A.![]() | B.1 | C.3 | D.![]() |
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2020-01-29更新
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666次组卷
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6卷引用:2020届广东省东莞市高三期末调研测试理科数学试题
2 . 复数
的实部
、虚部
满足:
,其中
为虚数单位,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2738eeea7296a8bbbfb2e6f27572038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2519a142388a08862fbfb0fd211c6ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb290f2c8a0df0b65cee1f269bca0db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
您最近一年使用:0次
名校
3 . 复数
(
)是复数
的一个平方根,其中
为虚数单位,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1817297374e431a1d9087dcc2991d3a9.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc228995efbba2e64d7f1de747024cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a040caae57a7a66ffd703a09f1502f8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1817297374e431a1d9087dcc2991d3a9.png)
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4 . (1)复数
满足
,若
为实数,求复数
;
(2)若
是方程
的两根,且
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08d623fdc0e3d470e6b30e3e6c1b35b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff60eab72de85437e12806474281612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f74266e2f5b38f1d25e64bde8e90ec2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d18df40af0b8db62dd1829bcdf9089e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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5 . 若复数
(
是虚数单位)的平方根为
,则
=_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0fb9b1c3fd079c2d4514a3edc3c42c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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6 . 已知复数
满足
(
为虚数单位),则复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86d76251ec4327290f2acd8af03a21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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2019-12-05更新
|
609次组卷
|
4卷引用:上海市向明中学2018-2019学年高三上学期第一次月考数学试题
上海市向明中学2018-2019学年高三上学期第一次月考数学试题上海市大同中学2017届高三上学期期中数学试题上海市实验学校2022-2023学年高一下学期期末数学试题(已下线)9.1 复数及其四则运算-同步精品课堂(沪教版2020必修第二册)
解题方法
7 . 已知
为虚数单位,实数
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a5bb2fbc1b63b0bec24def069fda48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4ed6834a9a39734f0f152c99ffb294d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-07-07更新
|
231次组卷
|
2卷引用:四川省眉山2017-2018学年高二下学期期末考试数学(文)试卷
名校
解题方法
8 . (1)设
(
是虚数单位),求
的值.
(2)设
,复数
,且满足
,试求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d971e248bd035650f7fc77adaea2ba1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01b814943d3a7aec671a3da738134e3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9e4a7572ce9d7f8041b6ec5a3c3ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c6cf13953b1e35f6a5be6f469d278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
您最近一年使用:0次
9 . 关于复数的命题,下列正确的为
A.复数![]() | B.复数![]() ![]() |
C.![]() | D.若![]() ![]() ![]() ![]() |
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名校
解题方法
10 . 已知
为虚数单位,
为复数
的共轭复数,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c466ad96d81208af5bfd7401032b5c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2017-08-22更新
|
1228次组卷
|
9卷引用:贵州省凯里市第一中学2016-2017学年高二下学期期末考试数学(文)试题
贵州省凯里市第一中学2016-2017学年高二下学期期末考试数学(文)试题河北省衡水中学2018届高三上学期二调考试数学(理)试题陕西省西安市长安区第五中学2018届高三上学期第二次模拟考试数学(理)试题1四川省树德中学2018届高三12月月考数学(文)试题河南省南阳市第一中学校2018届高三第七次考试数学(理)试题(已下线)2019年3月28日 《每日一题》理数选修2-2-共轭复数福建省莆田第十五中学2019届高三上学期期中考试数学理科试题(已下线)2022年全国高考乙卷数学(理)试题变式题9-12题(已下线)2022年全国高考乙卷数学(理)试题变式题1-4题