1 . 求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6689174b1bbb2b6c1b46e816435831.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6689174b1bbb2b6c1b46e816435831.png)
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2 . 已知i是虚数单位,
,且
的共轭复数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca6c17df8a51bb6492426fddcfb622.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a665041651302fc70d65ade6b631f0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca6c17df8a51bb6492426fddcfb622.png)
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解题方法
3 . 已知复数
(
为虚数单位),则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec94a222db0a1290b1be2fc81d4d4a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6447fb3ff7619b7c9e77e728bb14d18.png)
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4 . 已知复数z满足
,则满足条件的z有_________ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c5095134e46e4b89c8b34acd83d1ee9.png)
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5 . 下列命题正确的是( )
A.若复数![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.![]() ![]() |
D.“复数![]() ![]() |
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6 . (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.
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20-21高一·全国·课后作业
7 . (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
8 . (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
9 . 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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10 . 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: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