名校
1 . 已知集合
,其中
为虚数单位,则下列属于集合
的元素是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4485f2012cbed48cf0c82da67749e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-07-10更新
|
80次组卷
|
4卷引用:河南省济源市第六中学2023-2024学年高一上学期9月月考数学试题
解题方法
2 . 在复平面上,正方形
的
、
、
、
按逆时针方向排列.
,
对应的复数分别为
与
.
(1)求
、
分别对应的复数
与
;
(2)设
与
对应的复数分别为
与
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b59029f5b652f9d525495f1a4be081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c663a1529dcc03f744196d586c20a69.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97726ebf4799be3d87cee90de9bfbcd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c2ca00cedf2a449f6b928c38874093a.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be64d59ac6538a0f4d79fb825e082081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f90e16e18b1e88ebb1ab811d06be76.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/7a8ca7cb46181d1e00c8ff65f6fa8e75.png)
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解题方法
3 . 已知
是虚数单位,复数
,则
的共轭复数
在复平面内对应的点位于第__________ 象限.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422416a941b1a3b628813eb13623b06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
您最近一年使用:0次
名校
4 . 著名数学家棣莫佛(De moivre,1667~1754)出生于法国香槟,他在概率论和三角学方面,发表了许多重要论文.1707年棣莫佛提出了公式:
,其中
,
.已知
,根据这个公式可知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c4f3aa738a8017da8a097e683289a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bc6806ce01e6b6b57933f195cce853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
您最近一年使用:0次
2022-05-31更新
|
917次组卷
|
3卷引用:河南省济源市2021-2022学年高二下学期期末教学质量调研模拟试题(一)数学(文)试题
河南省济源市2021-2022学年高二下学期期末教学质量调研模拟试题(一)数学(文)试题湖北省华中师大一附中2022届高三下学期高考前测试数学试题(已下线)专题17 复数(讲义)-2023年高考数学一轮复习精讲精练宝典(新高考专用)
5 . 若复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b73651cc77591d1102ff7c315d30e50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
A.![]() | B.![]() | C.![]() | D.10 |
您最近一年使用:0次