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
|
422次组卷
|
3卷引用:数列-综合测试卷A卷
名校
3 . 已知复数
满足
,复数
满足
,则复数
对应复平面上的点构成区域的面积是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ec00601d3297c94a1a224421df7d1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcc78b50e4eb2ef6076b0ef4fab732d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12feaea403cbb93f98f1e76bd093c9e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcc78b50e4eb2ef6076b0ef4fab732d.png)
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2024-04-22更新
|
312次组卷
|
5卷引用: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)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)9.2 复数的几何意义-同步精品课堂(沪教版2020必修第二册)(已下线)专题04复数-期末考点大串讲(沪教版2020必修二)上海市建平中学2023-2024学年高一下学期期中教学质量检测数学试题上海市朱家角中学2023-2024学年高一下学期第二阶段质量检测数学试题
名校
解题方法
4 . 已知复数
满足
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9645c7d4ff9acc2561767880505859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f3c76f0b842a5b0f3f4b6b402484dc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-11更新
|
655次组卷
|
4卷引用:专题03 第七章 复数-期末考点大串讲(人教A版2019必修第二册)
(已下线)专题03 第七章 复数-期末考点大串讲(人教A版2019必修第二册)(已下线)专题06 复数-期末考点大串讲(人教B版2019必修第四册)吉林省四平市第一高级中学2023-2024学年高一下学期第一次月考数学试题海南省文昌中学2023-2024学年高一下学期期中段考数学试题
解题方法
5 . 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)
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6 . 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.![]() |
您最近一年使用:0次
解题方法
7 . 已知复数
满足:
(其中
为虚数单位),则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bad88fde867c694017486d2498966c96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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2024高一下·全国·专题练习
8 . 设集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbfb2845c4dde3d812502f7b1b89acca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac16bf3d51ab5a74353f2cf568b417e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
您最近一年使用:0次
9 . 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)
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2024-03-03更新
|
572次组卷
|
3卷引用:压轴题06向量、复数压轴题16题型汇总-2
10 . 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.![]() |
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2023-12-23更新
|
2240次组卷
|
8卷引用:黄金卷06(2024新题型)