1 . (1)计算:
;
(2)若复数z满足
,
,求复数
的三角形式.
(3)利用复数证明余弦定理.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f665bf82fe144de1c0c3312435f5af.png)
(2)若复数z满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095e8bf80cfcaadc5b835199f7a41290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7121ef0e8277c5416358f41140a4d048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767bb0023cfd3978108ea8d39ad1f4a3.png)
(3)利用复数证明余弦定理.
您最近一年使用:0次
20-21高一·全国·课后作业
2 . (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
3 . (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
4 . 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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5 . 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)
您最近一年使用:0次
2021-11-12更新
|
524次组卷
|
7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 复数的三角表示人教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
6 . 下列复数是不是三角形式?如果不是,把它们表示成三角形式.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1adfd2bcc9d8f27ca0a22aed7a63a9.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29088fa8efdf382400b5422c07302b87.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb2b1304afc426afd70b5f03fed3fe3.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1adfd2bcc9d8f27ca0a22aed7a63a9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29088fa8efdf382400b5422c07302b87.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb2b1304afc426afd70b5f03fed3fe3.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a8a718305dcdaacd9ae90b9783c9f4.png)
您最近一年使用:0次
20-21高一·全国·课后作业
7 . 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
8 . 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)
您最近一年使用:0次
20-21高一·全国·课后作业
9 . 利用
,
,把复数
表示成三角形式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae469ac1e4413b1d0e60004d3c30f1a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90da6d2dc65b4369a720aab66fc11230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facf2b83ead04cad360ee897f8a0a1c7.png)
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