设复数z满足
为纯虚数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5960b7f7052b0676f9b2f0b3f0014b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
A.1 | B.![]() | C.![]() | D.2 |
2024·全国·模拟预测 查看更多[2]
更新时间:2024-05-29 20:39:50
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单选题
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适中
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【推荐1】下列命题正确的是( )
①若复数z满足
,则
;
②若复数z满足
,则z是纯虚数;
③若复数
,
满足
,则
;
④若复数
,
满足
且
,则
.
①若复数z满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5911981ebeef8aeab4017380e7d106d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525c1a68848e95e6b419e0bbec3c0957.png)
②若复数z满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32975f707abe79d23f59ca1156303f1.png)
③若复数
![](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/1e37c64fc12b438809bc6d723f359cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063fc82b8f5c123f1fbf572ce4cdf062.png)
④若复数
![](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/5a22592d5ad7d81d637259ac1bcbb6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ef14d1e3d28b47cd21e21c991509e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e37c64fc12b438809bc6d723f359cd9.png)
A.①③ | B.②④ | C.①④ | D.②③ |
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【推荐2】设复数
对应的向量分别是
、
,则下列判断中,不正确的个数是( )
① 复数
对应的向量是
② 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6812f9cd174c662e3f98cd9eee376083.png)
③ 若向量
、
的夹角为
,则
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92374cc06be165ccd58034325b9a5df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
① 复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b91254db5ff748150f449c5cdd256c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07938b3394b737e4e763f196e817ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6812f9cd174c662e3f98cd9eee376083.png)
③ 若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e7c2ceddeccaac02f35dbacbccb626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92374cc06be165ccd58034325b9a5df.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
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【推荐1】已知复数
,则z在复平面内对应的点位于( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02efa56c0a06c187d7e18d0dd03df89e.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
您最近一年使用:0次
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【推荐2】【福建省厦门市2018届二模】复数
满足
,则
在复平面内对应的点位于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47898f53903490b9034dd9f840a6e6e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
您最近一年使用:0次