名校
解题方法
1 . 已知复数
满足
,则复数
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839ba7c0f1fc30151d18a2e337951dd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bbf1941e397671ce41dfa8a46f74195.png)
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2021-09-08更新
|
344次组卷
|
4卷引用:河南省济源第一中学2022-2023学年高二下学期3月月考数学试卷
2 . 设
,
,
为复数,则下列命题中一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
A.如果![]() ![]() |
B.如果![]() ![]() |
C.如果![]() ![]() |
D.如果![]() ![]() ![]() ![]() |
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解题方法
3 . 下列命题中正确结论的个数是( )
(1)设复数
为
的共轭复数,则
是实数;
(2)设复数
为
的共轭复数,则
是纯虚数;
(3)设
,
为复数,若
则
,
(4)若
,则复数
代表的点的集合是以
圆心,以1为半径的圆.
(1)设复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b984e55848ce5722e436762174dcaa37.png)
(2)设复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f9afbc3dc18555bf23f0e7d0a8e79c.png)
(3)设
![](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/593563955a8b396a133672e822b2ac83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7977d7239c13e044382d3bdc9ab015.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ae0874c2f34741f5bde07b3891182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
名校
解题方法
4 . 已知复数
.
(1)求
的值;
(2)若复数
满足
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e086501770d2f51ffc81a04474837bd3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec38dad475687854004753d2f794733e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd0cf1e2d276edd87dbaf5b4f1b3bfe.png)
您最近一年使用:0次
5 . 已知复数
(
为虚数单位)在复平面内对应的点为
,复数
满足
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5808ad7b786bc4132fbbf82e0770a316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf6fcccf6c53d1df42db614f902ae115.png)
A.点![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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2021-08-31更新
|
182次组卷
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2卷引用:广东省佛山市南海区狮山石门高级中学2021-2022学年高二上学期第一次统测数学试题
名校
解题方法
6 . 若复数
满足
,则使
取到最小值的复数
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98ed4edd44aa64eb7b2da5c1aa84c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042c0c7e253a65f770583c5c6696770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-08-31更新
|
106次组卷
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2卷引用:陕西省榆林市神木中学2020-2021学年高二下学期第四次测试理科数学试题(B)
名校
解题方法
7 . 若
,则称
与
互为“邻位复数”.已知复数
与
互为“邻位复数”,
,则
的最大值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52bb069b71ff58af8b36823d1af6a88.png)
![](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/e884fba662ba329139e6019e15272836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c484d60171548d3b143f4d664b1c9c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
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2021-08-27更新
|
626次组卷
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7卷引用:宁夏海原第一中学2020-2021学年高二下学期第二次月考数学(文)试题
宁夏海原第一中学2020-2021学年高二下学期第二次月考数学(文)试题河南新乡市省辉县市第一高级中学2020-2021学年高二下学期第一次阶段性考试数学(理)试题河南省开封市五县联考2019-2020学年高二下学期期中考试数学(文)试题陕西省榆林市绥德中学2019-2020学年高二下学期期末数学(文)试题(已下线)第07章+复数(B卷提高篇)-2020-2021学年高一数学必修第二册同步单元AB卷(新教材人教A版)(已下线)模块三 专题3 小题满分挑战练(3)(人教B)(已下线)黄金卷02
名校
8 . 下列命题正确的有( )
A.复数![]() ![]() ![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.已知复数![]() ![]() ![]() |
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名校
9 . 设非零复数
是复平面上一定点,
为复平面上的动点,其轨迹方程
,
为复平面上另一个动点满足
,则
在复平面上的轨迹形状是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b3284b97f803dce36872eb8ab805d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc966cf8411b790f2826d9df9e2bc77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68a0e76a9027440ffce470e4e0f80ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
A.双曲线 | B.圆 | C.一条直线 | D.抛物线 |
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名校
解题方法
10 . 设复数
(
是虚数单位),若复数
满足
,则
的最小值是_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abab5714a475beec53eb9622f3e9d48c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c9ea5589b4a7b6f6a1b07b60d17c619.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61733e9f5ed6942bdd077e182d581061.png)
您最近一年使用:0次