解题方法
1 . 已知复数
满足
,
的实部与虚部的积为
.
(1)求
;
(2)设
, ,求
的值.
从①
;②
为纯虚数;③
在复平面上对应点的坐标为
.这三个条件中选一个,将问题(2)补充完整,并作答.(注:如果选择多个条件分别解答,按第一个解答计分.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d4fe2c3540bb54818c1d9746e48765.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a6be9d7c0febdad552bc2213e2b6e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf97cd1cd2a4b2b3349c6df645de1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
从①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de59a6da1ee210ccf04651ae53275dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf664ed944afee2ec6d18b67fd09b06.png)
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2 . 已知复数
满足
,
的实部大于0,
的虚部为2.
(1)求复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)设复数
,
,
在复平面上对应的点分别为A,B,C,点
满足
和
共线,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458cf09fc6122b7ce794565268d78b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ea3cc01ce7266cdf0fd73fd50d23c8.png)
(1)求复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)设复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ea3cc01ce7266cdf0fd73fd50d23c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0c2f978b8ec6a7d1c8f17bfa81d1cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea05435d49d0758fb23c0e144243371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fe2d802f2b37e7db198c5a3c1df9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a1a69d7460d12d4facd43e0d941190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
3 . 若复数
满足
(
为虚数单位),则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcda90690aea758da27742b2b89a536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-06-02更新
|
929次组卷
|
2卷引用:九师联盟(河南省)2021届高三下学期五月联考文科数学试题
4 . 使
成立的实数
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc0e3fcf2c7c7cb10a65a0f6043bce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
5 . 已知复数
.
(1)若
,且
,求实数
的值;
(2)求当
为何值时,
最小,并求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7fcc4f2701bdc6b9df9ba0c5eeec85.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d03089016660b09fee289958fed9f6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c6a545b37c7d67308c652ea49c602e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c6a545b37c7d67308c652ea49c602e.png)
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名校
6 . 设复数
且
,若复数
在复平面内对应的点位于第四象限,则复数
的虚部为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5909a1b73d1a7842f2d9df2865f0fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd398d31cade9b7266a63e1c8f6f0c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.9 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知复数
,其中
是虚数单位,则“
为纯虚数”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24eb6f1ad625b89c970ea6c36a252f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c363bdb304e9a0b920b53d2b770f8a0f.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分又不必要条件 |
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8 . 若
,
,则z等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058363e39b9f201d579234696bc8882d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782fca1e478cee9c4acc69eaf06952b5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知关于
的实系数一元二次方程
有一个模为1的虚根,则实数
的取值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dae6262eccd4d823efa48f10ab2d271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-02-04更新
|
237次组卷
|
2卷引用:上海市上海交大附中2015-2016学年高二下学期3月月考数学试题