名校
1 . 若复数
,则
的共轭复数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea8f500173e71572e707aeff49064bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545141bbe7cc66d18946a129179d8df1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
2 . 复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62967cd64ab74a5df90a98127ce08aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35845a775881218a4d0a4944dee85ed9.png)
A.1 | B.2 | C.![]() | D.![]() |
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3 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2cdefcca6c6eb7c9208b3de1c008aa9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
4 . 若复数
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f5661b4d48239c090583080987cfe4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 已知复数
(i为虚数单位),则复数z在复平面内对应的点在( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e0c831e6d1f0d62d2552d0f99d0a86.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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解题方法
6 . 已知
,其中
.
(1)若
为纯虚数,求
的共轭复数;
(2)若
在复平面内对应的点在第二象限,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ac80781c5c0156f97902bec5ca3d14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . 在复平面内,
对应的复数是
,
对应的复数是
,则点
之间的距离是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19ed90fa07e523db60031ab8d53e171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304a7f07db2ec637baadf8f0ab91c85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b80360cbdda38f0745b998dfa872a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
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2024·全国·模拟预测
解题方法
8 . 设复数
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9a1083238c4121ce5bdf885fb62003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815164c5d99d2630742a8a44fa72c5c0.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() |
D.在复平面内,复数![]() |
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2024·全国·模拟预测
9 . 已知复数
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a044aaa68ad91b7b4879bb743a644c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545141bbe7cc66d18946a129179d8df1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知非零复数
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58015e0a71cf2e04ceb8503424b3cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1569ec41449465003d9f792ae9b12294.png)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次