1 . 已知
,求复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3941a520dc988cdc286987a54ad22e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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解题方法
2 . 已知
,
为复数,i是虚数单位,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.若![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2023-07-18更新
|
410次组卷
|
3卷引用:河南省商丘市名校2022-2023学年高一下学期7月期末联考数学试题
解题方法
3 . 已知
为复数,则
的值可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd65db2dfcdf0a3ada20d9deae2c9a2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 已知复数:
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3f14b1c83e6ffd577842a84c72bb99.png)
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b63863d7e9533523262ac7458d600b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3f14b1c83e6ffd577842a84c72bb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab309f62ab1d73834edadba2c731bd14.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.设![]() ![]() ![]() ![]() |
D.复数![]() |
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5 . 已知复数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c097729aa1a8c6678be18a62afa6e8e.png)
A.z的虚部为i | B.![]() |
C.![]() | D.若![]() ![]() |
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解题方法
6 . 已知复数
为纯虚数,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d00b4a1b0ab51163fe8b78c5e891d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.3 | B.![]() | C.![]() | D.-3 |
您最近一年使用:0次
2023-07-16更新
|
561次组卷
|
3卷引用:河南省周口市第一高级中学2022-2023学年高一下学期期末数学试题
解题方法
7 . 已知复数
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264b7342cc75fd675239293221fd0854.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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8 . 已知复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f50d0e8352725bf6feaaad67120c99.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aea50838c2f59209b5c0466a0d7ceb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f50d0e8352725bf6feaaad67120c99.png)
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9 . 已知复数
,
,
.
(1)若
为实数,求
的值;
(2)设复数
在复平面内对应的向量分别是
,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f536357fb0efbcc6ba022b1fbede1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84192a8e3f954579750b89ba5e3ceb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42947a9ec7c9d436aad88d7ee568445a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)设复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c75e4c443ebfdcbf6c092663df365de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e3c905ee86ab199ec8cab8de05c864.png)
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10 . 已知复数
,且
为纯虚数.
(1)求b;
(2)设复数
满足
,且复数
对应的点在第二象限,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52e4e4f43bbc25d4cf27150e04e3dde7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4d921ab7be45af39df33459cc4c9be.png)
(1)求b;
(2)设复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a0746c6e4706961c4e2f9f05137d1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
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