名校
1 . “
为纯虚数”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865198195a83bd4b45fbe8edecc558aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb43aa7080bb89cf86b7412c119a05b.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
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2022-11-21更新
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4卷引用:福建省南平市浦城县第三中学2023届高三上学期期中测试数学模拟卷试题(1)
名校
2 . 已知复数
对应的向量为
,复数
对应的向量为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a72ff93c6b79f395aabb9f25e45203d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95985232e68bbf4e37f147d89efbfed6.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
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2022-06-05更新
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11卷引用:福建省厦门第一中学2022届高三高考考前最后一卷数学试题
福建省厦门第一中学2022届高三高考考前最后一卷数学试题广东省汕头市2022届高三三模数学试题(已下线)知识点 数系的扩充和复数的概念 易错点3 混淆复数的表示与向量表示广东省广州市执信中学2021-2022学年高一下学期5月月考数学试题黑龙江省哈尔滨市德强学校2022-2023学年高三上学期10月月考数学试题福建省厦门第一中学2023届高三四模数学试题(已下线)专题01 集合与复数-备战2023年高考数学母题题源解密(新高考卷)黑龙江省哈尔滨德强学校2022-2023学年高三上学期10月月考数学试题(已下线)模块三 专题3 小题满分挑战练 (2)(苏教版)(已下线)第五节 复数 B素养提升卷(已下线)第七章 复数(基础、典型、易错、压轴)分类专项训练(2)
解题方法
3 . 已知锐角
内角
、
、
的对边分别为
、
、
.复数
,
且
(
是虚数单位).
(1)求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01eb6a297abb1ca9eba241263f6ff201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5112377ac679d214ba6d629acaf8f3a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af93089c400314321cbfea9651aad4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
您最近一年使用:0次
解题方法
4 .
是复数
为虚数的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2422b626abbac6796681644907d68a.png)
A.必要非充分条件 | B.充分非必要条件 |
C.充要条件 | D.既非充分条件也非必要条件 |
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2021-09-15更新
|
293次组卷
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3卷引用:福建省福州市2021-2022学年高一下学期期中质量抽测数学试题
5 . 请从下面三个条件中任选一个,补充在下面的横线上,并解答.
①
(
为虚数单位),②
的面积为
,③
,
在
中,内角
,
,
的对边分别为
,
,
,若
,
,__________.
(1)求
;
(2)在(1)的结论下,若点
为线段
的一点且
,求
长.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822c9fcf2f5c00f76cd3395ca449a1c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78402004b52882f028aec0491c21527d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b87eadbda6b326b388d9caba62665b6.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e8368a019595201123e4738e666273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256b633bc67729ae23268fc17117a0f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)在(1)的结论下,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d4b26360bb4125f25a9c0cd1344bf6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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2021-08-14更新
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2卷引用:福建省莆田第一中学2021-2022学年高一下学期期中考试数学试题
名校
6 . 在复平面内,O为坐标原点,复数
,
所对应的向量分别为
,
.
(1)求
所对应的点C的坐标;
(2)求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0f02be6e1f41303b3d1009962da635a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec4c57977e0d4e56260a6526350e70e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d52e497aa7422819d873a7333891e86.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad67adb50bd6660cfd7ef5e48ea62de.png)
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2021-08-04更新
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5卷引用:福建省厦门集美中学2021-2022学年高一下学期期中考试数学试题
名校
7 . 在复平面内,复数
对应的向量分别是
,其中
是原点,
为虚数单位,则下列判断中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1625e24072a8fe6c277ecfca2c62cdaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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