解题方法
1 . 若
为纯虚数(
为虚数单位),则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e96f7381a5ab125342610ae55b6d7d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2024高一下·全国·专题练习
2 . 已知复数
,
,满足
,
,
为虚数单位,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c70b864ea82be133a11c117eb212cf.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/58188997e23734cee4ac9e89c45b4515.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3588476ecd53ea0b19b662d6784f38c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c70b864ea82be133a11c117eb212cf.png)
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2024-03-30更新
|
565次组卷
|
6卷引用:第12章 复数(提升卷)--学重难点突破及混淆易错规避(苏教版2019必修第二册)
(已下线)第12章 复数(提升卷)--学重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)高一下学期期中考试--重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)第七章 本章综合--汇总本章方法【第三课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)第七章 复数(基础卷)-重难点突破及混淆易错规避(人教A版2019必修第二册)(已下线)10.2.2复数的乘法与除法-同步精品课堂(人教B版2019必修第四册)(已下线)专题06 复数常考题型归类-期末考点大串讲(人教B版2019必修第四册)
2024高一下·全国·专题练习
解题方法
3 . 已知复数
,
,则
的实部的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148bdb4f44fbf37423f62bb9277f6b0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d7a1f14b191022131e444890d918ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da4e6752d8c8a0705194f2b2f16ab5d.png)
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2024高一下·全国·专题练习
解题方法
4 . 已知复数
,
分别对应向量
,
(
为原点).若向量
对应的复数为纯虚数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a17dc30142246cc9e4ae91d394a036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a7f677bf16cad3b6753bc2fcc43ad9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a30deb1f343048675b9b231620369668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1640d3fff861f45c5eb4019943b000f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f8778ad94fcca5fae776241d3fd39e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
名校
解题方法
5 . 若复数
为纯虚数,则实数
的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c61aec19ff1181bcef9271f4458b9887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-03更新
|
1290次组卷
|
8卷引用:专题13 复数的运算及几何意义-《重难点题型·高分突破》(苏教版2019必修第二册)
(已下线)专题13 复数的运算及几何意义-《重难点题型·高分突破》(苏教版2019必修第二册)(已下线)第1套 复盘提升卷(模块二 2月开学)(已下线)专题11+复数的四则运算(1)-《重难点题型·高分突破》(人教A版2019必修第二册)安徽省黄山市2024届高中毕业班第一次质量检测数学试题(已下线)模块一专题4《复数》讲重庆市乌江新高考协作体2023-2024学年高一下学期第一阶段学业质量联合调研抽测(4月)数学试题(已下线)模块一专题6《复数》 【讲】(苏教版)广东实验中学2023-2024学年高一下学期第一次段考数学试题
名校
6 . 已知
,
是复数,则下列正确结论的序号是______ .
①若
,则
; ②若
,则
;
③若
,则
; ④若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f177c6cca5fb7ed9c771ff15536cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714274d984c3194fc3bb949f0a16d7cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4499642b5a23d766dbd3f7146039c568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5bc8b000382c361d436db319243715b.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fbfb5c6ca0e87e72f3fcec6202eb2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54521b0b406462d426781ccdd5b8efc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fbfb5c6ca0e87e72f3fcec6202eb2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bae527610c6b137cd499d78b657eac5f.png)
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名校
7 . 下列关于复数的命题,是真命题的是______ .(填序号)
①
;②若
,则
;
③若
,则
是纯虚数;④对任意实数
,都有
是虚数.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40cf8a903a0b778c83047c6ed0ee29e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70c2519610d6d1d6d0855b0f27dfc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ec0a4dcfaefaa1a22c9dd79e15145d.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ea094e511400e3c48f103fb958ca60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6885bb2167fda6107fd05c94a2c52bf6.png)
您最近一年使用:0次
名校
8 . 已知
是虚数单位,复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d4cbb921d15309eebe188eee8922120.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d4cbb921d15309eebe188eee8922120.png)
您最近一年使用:0次
名校
9 . 已知i为虚数单位,计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3fd5a7c992c5532f2c709fccfe10955.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3fd5a7c992c5532f2c709fccfe10955.png)
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10 . 已知复数
满足
,则复数
在复平面内所对应的点坐标为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aefedc904f238f369c1c48f58756370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
您最近一年使用:0次