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1 . 计算
所得的结果是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d39a0633fcf688eb19242ff3f2714d0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知复数
,
(
,
为虚数单位).
(1)若
为实数,求
的值;
(2)若复数
在复平面上对应点落在第一象限,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd4eb2de4a1c61c3a16ebe2be76a74c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf7db4a89cc5d6878eae926f85532f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e527ac9eaf42d803f8f08a51b88817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 复数
在复平面内对应的点在第一象限,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb146ea82d8b0edbe6ef2ad1a9621e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70c2519610d6d1d6d0855b0f27dfc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de8c7d667d5672b14acd01410f2f617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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2021-07-26更新
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2卷引用:福建省厦门集美中学2020-2021学年高二下学期期中考试数学试题
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4 . 若i是虚数单位,化简:
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbb23428c5736cd47d5f300da606967.png)
A.0 | B.4 | C.![]() | D.![]() |
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解题方法
5 . (1)计算:
.
(2)已知虚数z的共轭虚数是
且
,求z.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6f37365b84ae4922175438606363e6.png)
(2)已知虚数z的共轭虚数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5876c53a73e810454afc0965aee5dc58.png)
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6 . (1)(2+i)-[(2+5i)-(3-3i)]
(2)(2-i)(3+i)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86f7d90384620841da76a8b5e18e730.png)
(4)
(2)(2-i)(3+i)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86f7d90384620841da76a8b5e18e730.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9582cddddbb331acbbcb5cd53769fbb.png)
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7 . 设O是坐标原点,向量
对应的复数分别为
(
为虚数单位),那么向量
对应的复数是________ (用
的形式表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1625e24072a8fe6c277ecfca2c62cdaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/349f7f645a63ce09bd2730d24eee93be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305d5f36a9fdbc840161b36563923195.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2422b626abbac6796681644907d68a.png)
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解题方法
8 . 已知复数
(i为虚数单位)在复平面内对应的点为
,复数
满足
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae92bb7b41221c7980aca1dc2c291d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55045165b390a5a47a5df51c549299db.png)
A.![]() ![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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2021-07-13更新
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8卷引用:重庆市巴蜀中学2020-2021学年高二下学期期中考试数学试题
重庆市巴蜀中学2020-2021学年高二下学期期中考试数学试题(已下线)福建省厦门市湖滨中学2021-2022学年高二上学期开学收心练习数学试题(已下线)考点03 复数-备战2022年高考数学学霸纠错(新高考专用)(已下线)第18讲 复数的加、减运算及其几何意义(已下线)专题11+复数的四则运算(2)-《重难点题型·高分突破》(人教A版2019必修第二册)广东省深圳市龙华外国语高级中学2023-2024学年高一下学期第一次段考数学试卷(已下线)7.2.1?复数的加、?减运算及其几何意义——课后作业(提升版)(已下线)7.2.1?复数的加、?减运算及其几何意义——课后作业(巩固版)
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9 . 在复平面内,
、
两点对应的复数分别是
,
,则向量
对应的复数是( )
![](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/488c4d7e3ffc602d637def70eabffa3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c417f4c42a5f94e4d55883fe3952cc1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-07-11更新
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2卷引用:河南省商开大联考2020-2021学年下学期期中考试高二数学(理)试题
10 . 设复数
,
在复平面内的对应点关于虚轴对称,且
,则
( )
![](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/eb921ad3c21edf9d86b5ab43712dd22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2bd15af55f8175c57d57f61671f6b9.png)
A.![]() | B.2 | C.![]() | D.10 |
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2021-07-09更新
|
84次组卷
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2卷引用:江西省六校2020-2021学年高二下学期期中联考数学(文)试题