名校
解题方法
1 . 若复数
,
满足
,
,则
的最大值是( )
![](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/aa4f06346344910e2b4ccb75d6952b34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f4f5c78be834201afdb3fd3dcc4a23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59098d2eefe32233210a3dd1ecc6fe0.png)
A.![]() | B.![]() | C.7 | D.8 |
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2 . 复数
的虚部是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82d2c2dfbb02fb57313e60f3a664c6b.png)
A.1012 | B.1011 | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-10更新
|
429次组卷
|
3卷引用:数列-综合测试卷A卷
解题方法
3 . 如果复数
,
,
,
在复平面内对应的点分别为
,
,
,
,复数z满足
,且
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9edf13e16f94717233962e7ec2fa079.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897b3236850f1925308136357d4d5899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed343cf3cad4644ea3d9ca0bd37a8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6391054f48da6b0e007e8210677f49b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c1fd680a5d355178273c6d6025eb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276bdeecec8e10c149c9653fa5f5facb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cf49f5ddfb0682255be5cbba1d3626d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8af0ca09b38b3ee491816d8bf097c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2d67a223c5b9fd87c060ec8c006d6b.png)
您最近一年使用:0次
4 . 已知复数
.且
,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21094e3ba9668654a9d3afea8de90548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d114440ba3e2bf69b2621b50575081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe5b6908ef6e8cd914348357cba0e1b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 对于无穷数列
,我们称
(规定
)为无穷数列
的指数型母函数.无穷数列1,1,…,1,…的指数型母函数记为
,它具有性质
.
(1)证明:
;
(2)记
.证明:
(其中i为虚数单位);
(3)以函数
为指数型母函数生成数列
,
.其中
称为伯努利数.证明:
.且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4003dc23cc843e98aa97220e8d3a84d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c9f9424671c7e1620be104f3defa49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80a6580231b1438c017a656f0a0fcc35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f59e9a69ab35dc4eb89904ec903f7e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1a5e730877d3a07af9a7fb11e12e3ce.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68dddd478b94b9c21a5575a76b1dd51b.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17cc30d1487ffbb3ae0dc8ad8cbd032f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4a45607fc2a2e2316896ebd034bd0e.png)
(3)以函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b425361a8411f7d5fafdb625548e10e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed900c88cf1ca707255cd73398f6321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dadf60fd2b3e31a83cb7ce708190b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b3e125cdfc173e4ef5a60f6cdc026d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8bb98fa13c7ec31472fca5a33ac80.png)
您最近一年使用:0次
2024-03-03更新
|
574次组卷
|
3卷引用:压轴题06向量、复数压轴题16题型汇总-2
6 . 已知
,试确定方程
在复平面上所表示的点集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2ebdef592fc0d54eb9a8e0ac2cb28a.png)
您最近一年使用:0次
7 . 已知复数
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d0dead5b5e7b3ed82365f9bf541f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048bf3ccd3c9972d2621a042ae4d6a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0818c34d74fe197cca3450223bafb0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-12-23更新
|
2240次组卷
|
8卷引用:黄金卷06(2024新题型)
解题方法
8 . 已知复数
满足
,则
的最大值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/201097ce23904dfde3c99c5817621303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771f3008962b0a4d513d41e0712847c6.png)
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2023-12-11更新
|
987次组卷
|
4卷引用:专题14 二项式定理、复数(5大易错点分析+解题模板+举一反三+易错题通关)
(已下线)专题14 二项式定理、复数(5大易错点分析+解题模板+举一反三+易错题通关)2024年普通高等学校招生全国统一考试数学模拟试题(一)(新高考九省联考题型)江西省南昌市江西科技学院附属中学2021-2022学年高二上学期期末数学(理)试题(已下线)专题06 复数的9种常考题型归类 -《期末真题分类汇编》(北师大版(2019))
名校
9 . 已知复数
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12c16699fdf07ca29eafe7425c695732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef696d6c93ef43cb419bcfc12e454364.png)
A.方程![]() ![]() |
B.方程![]() ![]() |
C.方程![]() ![]() |
D.方程![]() ![]() |
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2023-12-05更新
|
2315次组卷
|
9卷引用:热点7-3 双曲线及其应用(8题型+满分技巧+限时检测)
(已下线)热点7-3 双曲线及其应用(8题型+满分技巧+限时检测)(已下线)专题06 直线与圆、椭圆方程(讲义)(已下线)考点6 复数的概念与几何意义 --2024届高考数学考点总动员【练】(已下线)复数-综合测试卷A卷河北省部分重点高中2024届高三高考模拟数学试题江苏省南通市海安高级中学2024届高三上学期1月学情调研数学试题河北省部分高中2024届高三上学期期末数学试题江西省南昌市第二中学2024届高三“九省联考”考后适应性测试数学试题(一)湖南省衡阳市第八中学2024届高三下学期高考适应性练习(一)数学试题
10 . 若复数
,则复数
的虚部为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a87f4f9c20dcebb0dbdd635eb769a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.0 | B.![]() | C.1 | D.![]() |
您最近一年使用:0次
2023-11-02更新
|
689次组卷
|
3卷引用:模块四 题型突破篇 小题进阶提升练(4)