1 . 计算:
的结果是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c829ec8eab1ee156a4f3fe2f703d805f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知i为虚数单位,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c46b2b27bdd08d439c07409bccaca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa63536f51438bae1a5c3d6d2bd2d01.png)
A.1 | B.2 | C.![]() | D.3 |
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解题方法
3 . 下列选项中正确的是( )
A.若![]() ![]() | B.在复平面内,复数![]() |
C.![]() | D.若![]() ![]() ![]() ![]() ![]() ![]() |
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4 . 设复数
,
.
(1)若
是实数,求
;
(2)若复数
在复平面上对应的点在第二象限,求实数
的取值范围;
(3)若复数
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3949894948e3bc57fa513cf84e2af364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab15cfa691e78c4caf7d23046df9eca.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34b88f343ca5a4c29057465541b9cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e3f4ab6f61446e83d8fcc1af0d0894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df2ce3cf2a3b683e4ab69ebe3767f85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
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5 . 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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6 . 已知
为虚数单位,且复数
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c60eba99326125e0c96ad9ecce6b91.png)
A.复数![]() | B.![]() | C.复数![]() | D.![]() |
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7 . 在复平面内,复数
对应的点的坐标为
,且
为纯虚数(
是
的共轭复数).
(1)求m的值;
(2)复数
在复平面对应的点在第一象限,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31286bfff67998b19519fbfbe9d4519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2251a074c917edc797d7a2f9ae658d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(1)求m的值;
(2)复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8ca5beec6862769b3027d7de4578de.png)
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8 . 已知
,
是关于
的方程
的两根,其中
,
.若
(
为虚数单位),则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b800b7d6a688abf8a3018c133cec9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f306d2b261f4c39a9fc0858d96e647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df87d92b8cf1789f877fbbf39afbdc4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 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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10 . 在复平面内,复数
对应的点所在的象限是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e702d2f4f785a93d26f6dfcef7ca8a5.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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