1 . 已知复数
,
为
的共轭复数.
证明:(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20129f794f91bd4f2c135036289d44a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
证明:(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be148e4930f353264a8e1b62e81f5be.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877f1a7e02a675480afc50d144782c16.png)
您最近一年使用:0次
2 . 已知关于
的方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7f95493865bc088da57b39313b8c8b.png)
(1)若方程有实数根,求锐角
和实数根;
(2)用反证法证明:对任意
,方程无纯虚数根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7f95493865bc088da57b39313b8c8b.png)
(1)若方程有实数根,求锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)用反证法证明:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72434c1bd4a15dcc39f5b1658e70dbe.png)
您最近一年使用:0次
2021-08-26更新
|
95次组卷
|
2卷引用:山西省怀仁市2020-2021学年高二下学期期中数学(文)试题
3 . 已知复数
,
.
(1)若
在复平面内对应的点在第二象限,求
的取值范围;
(2)证明:
不是实数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2161a495aa265d429f02b8bcd9ddcdb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34b88f343ca5a4c29057465541b9cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da4e6752d8c8a0705194f2b2f16ab5d.png)
您最近一年使用:0次
名校
4 . 已知复数
,若存在实数
,使
成立.
(1)求证:
定值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eccff2f0c0caa72bcfca4854919fce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b247ab2c92de2f1d97e6feb84fec20.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73286feace973d5bcabe7178788132ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042c0c7e253a65f770583c5c6696770.png)
您最近一年使用:0次
2020-05-02更新
|
252次组卷
|
6卷引用:山西省朔州市怀仁市2020-2021学年高二下学期期末数学(理)试题