解题方法
1 . 设复数
.
(1)求z的共轭复数
;
(2)设
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a1367178c59b0479f58b4dcf81f7a7.png)
(1)求z的共轭复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a8889af2aa4679766641caf20588cb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
2 . 设复数z的共轭复数为
,已知
.
(1)求复数z及
;
(2)求满足
的复数
对应的点的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/772a3769732ecfc395b23744f8233de5.png)
(1)求复数z及
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d08b961731b6bf53c7b99769650f6f95.png)
(2)求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab2d7c3b77b28c80aca53c0ca62dc4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
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2020-07-19更新
|
135次组卷
|
2卷引用:广东省揭阳市产业园2018-2019学年高二下学期期中数学(文)试题
解题方法
3 . 设
,
,
,
,求复数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c580c5f9a8729e4cf2544d0a8f74e08f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea77b7c1c49d58da6fbaf2890c65634a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46569f73f22e8cdc14fdcc0a702c9a9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e1cba19e0654f68334ed98fe2df770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
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4 . 复数
,存在实数
,使
成立.
(1)求证:
为定值;
(2)求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b043be463a12c01175d22d744aa20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e009cb31fc7d1f9149d3c6c6434dde0.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
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5 . 若
,
,
,且
,求
的值及复数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce742c0ae5760ffdbc365ce2ea9840b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2605ff3b5e65d08026b4bed456521d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc53efa0c7df310140f3b45071817507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
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6 . 对任意的复数
,
证明:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee028394345d17bbc55868935e3126c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/622e0a3909431492467887938381948e.png)
您最近一年使用:0次
2020-06-25更新
|
104次组卷
|
2卷引用:沪教版(上海) 高二第二学期 新高考辅导与训练 第13章 复数 13.3(1) 复数的加法
名校
7 . 已知复数
的共轭复数是
,且满足
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca89cfb56c28559730aaec4ba5322ee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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名校
解题方法
8 . 已知复数
的共轭复数
,且
.
(1)求
的值;
(2)若过点
的直线
的斜率为
,求直线
与曲线
以及
轴所围成的图形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0617418256a8029f81352328208aa5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52de67da0bdd4e11335a0415656ab19d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1803dc3c76fd2b51696647aa18602412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef469c7b7cb9945b984222381b9c000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
2020-06-17更新
|
368次组卷
|
8卷引用:河南省郑州市中牟县第一高级中学2019-2020高二下学期第五次月考考试数学(理科)试题
河南省郑州市中牟县第一高级中学2019-2020高二下学期第五次月考考试数学(理科)试题山西省运城市2019-2020学年高二(下)期末数学(理科)试题(已下线)1.7 定积分的简单应用-2020-2021学年高二数学(理)课时同步练(人教A版选修2-2)江西省赣州市南康区唐江中学2020-2021学年高二下学期第一次月考数学(理)试题安徽省安庆市白泽湖中学2020-2021学年高二下学期期中理科数学试题江西南昌县莲塘第三中学2020-2021学年高二下学期第四次月考数学(理)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)试题河南省郑州市励德双语学校2021-2022学年高二下学期第一次月考数学(理)试题
解题方法
9 . 已知复数
满足
.
(1)求
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782935a72586ef090ea88d328b5905ea.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb545c8e2866ca1d9aedabd6c0ce4326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a3964a10b8643c1269fc8afef75c5a.png)
您最近一年使用:0次
2020-06-15更新
|
265次组卷
|
3卷引用:西藏自治区林芝市第二中学2019-2020学年高二下学期第一次月考数学(理科)试题
西藏自治区林芝市第二中学2019-2020学年高二下学期第一次月考数学(理科)试题广东省深圳市富源学校2020-2021学年高一下学期期中数学试题(已下线)第18讲复数全章复习(讲义)-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)
解题方法
10 . 设复数z满足|z|=1,且
是纯虚数,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c98ae7cb4c6a923f8e0b34088647f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460c93074b1d63307a9bef0cbd1ff835.png)
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2020-06-13更新
|
85次组卷
|
3卷引用:黑龙江齐齐哈尔市克东县2019-2020学年高二下学期期中数学(文科)试题