1 . 若复数
,
为虚数单位,
为实数.
(1)若
为纯虚数,求
的值;
(2)若
在复平面内对应的点位于第三象限,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176fb8d979d0c971cfd59df437181223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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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2 . 复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcca565d2371fc12edd66c34e899e57c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235c8430d672ca39329ba1b0a138442b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcca565d2371fc12edd66c34e899e57c.png)
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解题方法
3 . 复数
,
,
,则下列说法一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88847fdaec216ddd8b5e3c73991b1af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/504d697ed8939aa65a141b41938ab19b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
A.![]() |
B.若![]() ![]() |
C.当![]() ![]() ![]() |
D.![]() ![]() ![]() |
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4 . 复数
,则
的虚部为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/886f680cbf7c5db976959baeba6a6415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
A.![]() | B.![]() | C.1 | D.2 |
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5 . 下列命题是真命题的是( )
A.若复数![]() ![]() ![]() |
B.若复数![]() ![]() ![]() |
C.复数![]() |
D.若复数z满足![]() |
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2023-07-08更新
|
107次组卷
|
2卷引用:四川省凉山州安宁河联盟2022-2023学年高一下学期期末联考数学试题
6 . 复数z在复平面内对应的点为
,则复数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8833ba3833480237f47774984958c01d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90151bc3d1c00cad2d368ed5d19319c1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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