20-21高一·全国·单元测试
1 . 已知关于z的方程z2+5z+m=0的两根为z1、z2,满足|z1﹣z2|=3,则实数m的值为___
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解题方法
2 . 已知实部为
的复数
满足
(
,
为虚数单位).
(1)求
;
(2)若
为纯虚数,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc18f97cbffbd9a8b2980b61ead14943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c6a545b37c7d67308c652ea49c602e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da029fd0fadbbf6bca116d163298c784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021高三·浙江·专题练习
3 . 把复数z的共轭复数记作
,i为虚数单位.若z=1+i,则(1+z)•
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81073fa8fde659fa6a892a8b0067d868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81073fa8fde659fa6a892a8b0067d868.png)
A.3﹣i | B.3+i | C.1+3i | D.3 |
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4 . 已知复数
满足
(
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/8fd0a2dc0a6aa868f79499eea68b0bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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5 . 若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94781e8b61d89910d77a4df89511ff80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c390d362c3efeec9742c9a35ab89d29.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 设复数
,
在复平面内的对应点分别为
,若点
与
关于实轴对称,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a7516303b3dd7c28b3b3fcffd538ca.png)
___________ .
![](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/01c74a907dda6bb7d9d56d009d9df253.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/95de263fafdcef712144a2812dbe2ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a7516303b3dd7c28b3b3fcffd538ca.png)
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7 . 已知
,
,
为实数,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a6127234f0fb99c178b7a9778c1fe7.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ac9b5ba967aad1f374486d80c16812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6951218abc877a9d55c79eeadf8cb315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ff9ece6697611fc6a37e509a22dd37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a6127234f0fb99c178b7a9778c1fe7.png)
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2021-09-23更新
|
211次组卷
|
2卷引用:北师大版(2019) 必修第二册 金榜题名 第五章 复数 §2 复数的四则运算 2.1 复数的加法与减法
8 . 计算:
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/154ee5ae0d21360dfb27ce776924ac8e.png)
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9 . 计算:(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2c1c61fa0450756a628187b0099b6c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff6d046bed087bc89f1544594e9f480.png)
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解题方法
10 . 设
若它们的和为实数,差为纯虚数,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5404c814e7a39a91d8979767b66d37e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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