解题方法
1 . 已知
,
(其中
为虚数单位).
(1)若
为纯虚数,求实数
的值;
(2)若
(其中
是复数
的共轭复数),求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a1c900662e43aeb6099d6f90b42929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9543913522d0e9370e0e6e78839e7348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04f844e8fd9d9b1ef835e23eaa54e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5584121b20889524941dcc8efad3a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2543268777eb18afe34a4994fbca6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . 若复数
的共轭复数
对应的点在第一象限;求实数m的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfc78ae64ab5252ab0d204979fd1f48e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
您最近一年使用:0次
2021-08-31更新
|
165次组卷
|
4卷引用:陕西省咸阳市武功县2020-2021学年高二下学期期中理科数学试题
3 . 把复数z的共轭复数记作
,已知
,求z
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2739111a932f32709243c5d7d137ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79ef5511be597f1866b2c2b21824ded.png)
您最近一年使用:0次
名校
解题方法
4 . 已知复数
,复数
,其中i是虚数单位,m,n为实数.
(1)若
﹐
为纯虚数,求
的值;
(2)若
,求m,n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef82607c00c82315dc83f4b59b7df9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8121876ce95bd57e4f45497a32ba1f39.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eee91910eed18c1db69a2ecbb3c0c22b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa72d9bed69759f1ab0331b4820e4b33.png)
您最近一年使用:0次
5 . 已知复数
,(
,
是虚数单位).
(1)若
是纯虚数,求实数
的值;
(2)设
是
的共轭复数,复数
在复平面上对应的点在第一象限,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d9a76660f0c76eae9766832e9df1ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设
![](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/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
6 . 已知复数z满足
.
(1)求
;
(2)在复平面内,
为z的共轭复数.若
和z对应的向量分别是
、
,其中O为坐标原点,求向量
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc251b943276aa4fd8629c06f21c871f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042c0c7e253a65f770583c5c6696770.png)
(2)在复平面内,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0c2f978b8ec6a7d1c8f17bfa81d1cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0c2f978b8ec6a7d1c8f17bfa81d1cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dfde0038de382d2be9701cea23ef7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329fdf7d989f77a32ca9e0361a9cc956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fe2d802f2b37e7db198c5a3c1df9a4.png)
您最近一年使用:0次
7 . 已知复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98bbfb8dc30c0f109ba11f9d858cebb3.png)
是虚数单位).
(1)若
在复平面内对应的点在第四象限,求
的取值范围;
(2)若
为纯虚数,求
的模.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98bbfb8dc30c0f109ba11f9d858cebb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.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/f4f7ef3d218c84a6a3a623d93a53f9ca.png)
您最近一年使用:0次
解题方法
8 . 已知复数
是
的共轭复数,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ada6afe1eae0810c535808f9be2d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7a6da068581d05480ea2b0eed42d49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解题方法
9 . 已知复数z满足
(其中
),
(1)求复数z(写成关于a的表达式);
(2)当a为何值时,满足条件的复数z存在?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b8ed21d4024208f4853723225e9fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)求复数z(写成关于a的表达式);
(2)当a为何值时,满足条件的复数z存在?
您最近一年使用:0次
名校
解题方法
10 . 已知复数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee2a5105690d385041fcdf679cbf236.png)
.
(1)当
时,
是关于
的方程
的一个根,求实数
,
的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c53c643bc4d057b61e3840d0b8605418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee2a5105690d385041fcdf679cbf236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8100db7069d32f80ac78852d6bbda7f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0342195c134d540f32c6e192465636.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13d477ec252f1952efd7d97425bf40c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2021-08-08更新
|
250次组卷
|
2卷引用:江苏省无锡市2020-2021学年高二下学期期末数学试题