2023高一·上海·专题练习
解题方法
1 . 已知复数
且
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70c2519610d6d1d6d0855b0f27dfc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdc47115b1d8ed3a6b36bfff24f6579.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
23-24高一下·上海·期末
解题方法
2 . 对于任意的复数
,定义运算
.
(1)集合
,
,
,
均为整数
,试用列举法写出集合
;
(2)若
,
为纯虚数,求
的最小值;
(3)直线
上是否存在整点
(坐标
,
均为整数的点),使复数
经运算
后,
对应的点也在直线
上?若存在,求出所有的点;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db31fcead8e3aff98a0d7712bff575f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159a0230bb4b7c9d266b73b0afaf481e.png)
(1)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ba9a3a3b8a765dd2904fcdd22f2a76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5319687dd89eaf09f8f875803724988f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d6ca793cbabf3e22b7410f957a1fe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb10bf3211e7b87b12823aa71f06ffba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48a8594bf5bf74a99efa8c17db231034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86202ddf220de1d8f5dc2c72cbe5b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042c0c7e253a65f770583c5c6696770.png)
(3)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f716e26c3a061266336f9a5d2a3fcea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9e4a7572ce9d7f8041b6ec5a3c3ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86202ddf220de1d8f5dc2c72cbe5b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
3 . 已知复数
(其中
是虚数单位),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb578edde04fb06407d97e8f2614cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
您最近一年使用:0次
2023-12-06更新
|
366次组卷
|
5卷引用:专题01 复数-《期末真题分类汇编》(上海专用)
(已下线)专题01 复数-《期末真题分类汇编》(上海专用)上海市松江区2024届高三上学期期末质量监控数学试题黑龙江省哈尔滨市德强高级中学2024届高三上学期期末数学试题(已下线)第七章 复数(知识归纳+题型突破)-单元速记·巧练(人教A版2019必修第二册)(已下线)专题10 复数(15区新题速递)
4 . 已知关于
的实系数一元二次方程
有两个虚根
和
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b11a00bc027248747ec10ac6a5f4a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1673a405ffd6d9562a61f5f32257dace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
5 . 已知
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70c2519610d6d1d6d0855b0f27dfc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdc47115b1d8ed3a6b36bfff24f6579.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 设复数
,其中i为虚数单位,
.
(1)若
,求
的模;
(2)若
是纯虚数,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd501ee0fff9c636e50364547d4d2c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2bece1b529d80119103c211f13e5d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2bece1b529d80119103c211f13e5d9.png)
您最近一年使用:0次
2023-08-02更新
|
339次组卷
|
7卷引用:上海市嘉定区中光高级中学2022-2023学年高一下学期期末数学试题
上海市嘉定区中光高级中学2022-2023学年高一下学期期末数学试题(已下线)专题01 复数-《期末真题分类汇编》(上海专用)(已下线)上海市高一下学期期末真题必刷02-期末考点大串讲(沪教版2020必修二)(已下线)第9章 复数(单元测试卷)-同步精品课堂(沪教版2020必修第二册)(已下线)9.1 复数及其四则运算-同步精品课堂(沪教版2020必修第二册)(已下线)专题01 高一下期末真题精选(2)-期末考点大串讲(人教A版2019必修第二册)江西省丰城拖船中学2023-2024学年高二上学期开学测试数学试题
7 . 已知复数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b9d767a57c2a1ea38b580210bcb206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff376e1d71865bd23b747ef78a66.png)
您最近一年使用:0次
2023-07-29更新
|
312次组卷
|
2卷引用:上海市华东师范大学周浦中学2022-2023学年高一下学期期末数学试题
名校
8 . 已知复数
,复数
,
,
,
所对应的向量分别为
,
,其中O为坐标原点,则以下命题错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef015c99536d13f1386bbb9a1dcaecea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f6398f6c1b247ccb5da442f9c5b4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a30deb1f343048675b9b231620369668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1640d3fff861f45c5eb4019943b000f.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
2023-07-21更新
|
322次组卷
|
3卷引用:上海市实验学校2022-2023学年高一下学期期末数学试题
上海市实验学校2022-2023学年高一下学期期末数学试题(已下线)第9章 复数(单元测试卷)-同步精品课堂(沪教版2020必修第二册)广东省广州市铁一中学2023-2024学年高二下学期3月月考数学试题
名校
9 . 设复数
的共轭复数是
,且
,又复数
对应的点为
与
为定点,则函数
取最大值时在复平面上以
三点为顶点的图形是( )
![](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/b70c2519610d6d1d6d0855b0f27dfc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48804d3fa8f8842f09c3b3bfdbbfc1e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cba284d675a3028d7a8d54f1f8ae70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c465d9b5b791e57e2fb3d5b5cb61652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b19e277a5e89d633d54f38bd421059.png)
A.等边三角形 | B.直角三角形 |
C.等腰直角三角形 | D.等腰三角形 |
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2023-07-21更新
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7卷引用:上海市复兴高级中学2022-2023学年高一下学期期末数学试题
上海市复兴高级中学2022-2023学年高一下学期期末数学试题(已下线)专题01 复数-《期末真题分类汇编》(上海专用)山东省泰安市泰山外国语学校2024届高三上学期期末数学试题(已下线)模块三 专题3 题型突破篇 小题满分挑战练(3)(已下线)专题7.8 复数全章综合测试卷(提高篇)-举一反三系列(已下线)第七章 本章综合--方法提升应用【第三练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)第5章复数章末十五种常考题型归类(2)-【帮课堂】(北师大版2019必修第二册)
10 . 设复数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8cbe10c66839401cabe001b23e65775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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2023-07-21更新
|
362次组卷
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3卷引用:上海师范大学附属中学2022-2023学年高一下学期期末数学试题