设复数
,求证:
(1)
,
,1都是1的立方根;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed3a7e1ea06b2eb0061ad24605eb7fdd.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1a2d689d36c15be2d14bf09dc088f0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3cd88b6123407e39b571d2daf0a5e55.png)
22-23高一·全国·课后作业 查看更多[7]
沪教版(2020) 必修第二册 新课改一课一练 第9章 9.4 复数的三角形式(已下线)7.3 复数的三角形式1-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册) 第十章 复数(A卷·基础通关练)-【单元测试】2022-2023学年高一数学分层训练AB卷(人教B版2019必修第四册)(已下线)专题7.7 复数的运算大题专项训练(30道)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)(已下线)核心考点02复数(2)7.3.2复数乘、除运算的三角表示及其几何意义练习(已下线)7.3 复数的三角表示-同步题型分类归纳讲与练(人教A版2019必修第二册)
更新时间:2023-01-06 22:28:51
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【知识点】 三角表示下复数的乘方与开方
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解答题-问答题
|
较易
(0.85)
解题方法
【推荐1】如图所示,在
中,
,
,
,点
在线段
上,
.
![](https://img.xkw.com/dksih/QBM/2021/4/8/2695269077909504/2762700313100288/STEM/3ce69e2f-152a-4a68-81f1-d0b43e4c57e1.png?resizew=166)
(1)求
的长;
(2)已知复数
的模为
,且以
为辐角,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5489aaa6dc00789fcf126bf2fd744a02.png)
![](https://img.xkw.com/dksih/QBM/2021/4/8/2695269077909504/2762700313100288/STEM/3ce69e2f-152a-4a68-81f1-d0b43e4c57e1.png?resizew=166)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)已知复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246a86f34603eaf2e6a948681b831b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ea3cc01ce7266cdf0fd73fd50d23c8.png)
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