20-21高一·全国·课后作业
1 . (1)已知复数
,
,
,复数
,
,
的几何意义分别是什么?复数
,
,
的几何意义又分别是什么?
(2)已知复数z以及常数
,复数
和
的几何意义分别是什么?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a976c188b072c749662aedf482193dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11988aa7569790689bea75a91925eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0984d776285cdcfa505cf91335c4905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e90f283387904c27be6183acd241132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3aec1cc4a407bfa09fe0878966d61e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e5ff732f4c548d8b3a07180b5affc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5a16d1ca0db697ee4fe9960152ceec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9159f29349754bbae9f36c262215501f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43b6d22b7a58ce137e80b86164e5a45.png)
(2)已知复数z以及常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bdac20e214b2cb3bd07f8d4778dcca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81560ffbb65f8a0d37fb0ae5d8a3fbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7459d9d0a8258e0e1ef444074c0ef26.png)
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20-21高一·全国·课后作业
2 . (1)设
,且
,
,……
,计算
;
(2)若
,计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319843285eb8a6fa03895e0fe8b16c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019ef6e49db8ac19f9ab1116c25cd378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066a9104c0f347fb7230ed02204e7a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415d468f86cb9dc99f43517d173bb353.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48dd58444528a15fe3513ebd38d90150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437588410900eab38789937e0bed8972.png)
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20-21高一·全国·课后作业
3 . 向量
对应的复数为
,把
按逆时针方向旋转
,得到
,求与向量
对应的复数(用代数形式表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a72ff93c6b79f395aabb9f25e45203d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8902c5c098f5f4787fcb0ca8f3e334c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a72ff93c6b79f395aabb9f25e45203d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850c2157b5355cb1c718b4577483cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850c2157b5355cb1c718b4577483cb2.png)
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4 . 求证:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0150de223d5071642eb5bef75ca64819.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0150de223d5071642eb5bef75ca64819.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db78ac6038d4c7d371f923fabe94b96e.png)
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2021-11-12更新
|
524次组卷
|
7卷引用:人教A版(2019) 必修第二册 逆袭之路 第七章 7.3 复数的三角表示2
人教A版(2019) 必修第二册 逆袭之路 第七章 7.3 复数的三角表示2(已下线)12.4 复数的三角形式(已下线)7.3 复数的三角表示人教A版(2019)必修第二册课本习题 习题7.3苏教版(2019)必修第二册课本习题 习题12.4(已下线)7.3.2 复数乘、除运算的三角表示及其几何意义(分层练习)-【上好课】(已下线)7.3复数的三角表示——课堂例题
20-21高一·全国·课后作业
5 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737adaf255606b6e077859565ccdcba9.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36812f833355fbf17e2c0164dad4e69b.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d738cebb809a866c5613b633053ca93.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737adaf255606b6e077859565ccdcba9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36812f833355fbf17e2c0164dad4e69b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d738cebb809a866c5613b633053ca93.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04f20e6a9eb71a456cd73e0d8074df3.png)
您最近一年使用:0次
2021-11-12更新
|
397次组卷
|
6卷引用:12.4 复数的三角形式
(已下线)12.4 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) 苏教版(2019)必修第二册课本习题12.4 复数的三角形式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)专题7.5 复数全章九大基础题型归纳(基础篇)-举一反三系列-(已下线)7.3.2 复数乘、除运算的三角表示及其几何意义(分层练习)-【上好课】
20-21高一·全国·课后作业
6 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d74d4e388965d8c9da4fd92027405bb.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d951bc127225e493cf3e58082b3951a.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7192956e41968ff772bebf69753de535.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d74d4e388965d8c9da4fd92027405bb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d951bc127225e493cf3e58082b3951a.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7192956e41968ff772bebf69753de535.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc1f17ed4cb5b7bca52201e9c2e0874.png)
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20-21高一·全国·课后作业
7 . 把下列复数表示成三角形式,并求出它们的模与辐角主值:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe7dc0c9aa0c8be73f8de929600743b.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf5470550b6a77f24f9b2beb31920ed.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ba43f6ac5a62cfc6cfda0900481515.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe7dc0c9aa0c8be73f8de929600743b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf5470550b6a77f24f9b2beb31920ed.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ba43f6ac5a62cfc6cfda0900481515.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8674bb476e760574ca3dfa48b417bd30.png)
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8 . 给定复数
以及正整数
,如果复数
满足
,则称
为
的一个
次方根,证明非零复数
的
次方根有
个且分别是
,并求出1的所有3次方根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d500e0075cbdced4f4ea0f903996bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62aeebc1475da8cdf8b48982c0c5fb88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff9d537819596fe0e4b322e1b255630.png)
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2020-01-31更新
|
239次组卷
|
3卷引用:人教B版(2019) 必修第四册 逆袭之路 第十章 10.3 复数的三角形式及其运算 (2)
真题
9 . 在复平面内,已知等边三角形的两个顶点所表示的复数分别为2和
,求第3个顶点所表示的复数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f20b9211cfa7604391c9ca4d97f51f.png)
您最近一年使用:0次
2020-01-31更新
|
268次组卷
|
5卷引用:人教B版(2019) 必修第四册 逆袭之路 第十章 10.3 复数的三角形式及其运算 (2)
10 . 求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3442cbcca9e035768982a85687f90f4d.png)
您最近一年使用:0次
2020-01-31更新
|
191次组卷
|
3卷引用:人教B版(2019) 必修第四册 逆袭之路 第十章 10.3 复数的三角形式及其运算 (2)