名校
1 . 若
是虚数单位,复数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390b0334a2532cfee7b2a99ef0e0083e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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4120次组卷
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15卷引用:天津市红桥区2019-2020学年高三上学期期末数学试题
天津市红桥区2019-2020学年高三上学期期末数学试题天津市河西区2021届高三下学期总复习质量调查(二)数学试题天津市河西区2021届高三下学期二模数学试题北京市丰台区2020-2021学年高一下学期数学期中联考试题(A卷)四川外语学院重庆第二外国语学校2020-2021学年高二下学期期中数学试题(已下线)第七章 复数 章末测试(基础)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)第七章 复数单元自测卷(一)广西桂林市普通高中联盟2021-2022学年高二下学期期中数学(理)试题重庆市江津第五中学校2021-2022学年高一下学期期中数学试题(已下线)第7章 复数(典型30题专练)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)新疆昌吉州行知学校2021-2022学年高二下学期期末考试数学(文)试题宁夏青铜峡市宁朔中学2022-2023学年高二上学期线上期末考试数学(理)试题广西钦州市第四中学2021-2022学年高二下学期3月月考数学试题(文科)山东省临沂市蒙阴县实中学2022-2023学年高一下学期期中考试数学试题天津市南仓中学2023-2024学年高一下学期第二次月考数学试卷
2020·全国·模拟预测
2 . 已知复数
在复平面
中所对应的点为
,点
在第一象限,且
,直线
的倾斜角为
,则复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
______ ;线段
绕着原点
逆时针旋转
后与线段
重合,点
为复数
在复平面内所对应的点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd2fe1d086e8bebc3097421913c7c946.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5cb793cd3d086a324c197cf397f9399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe29caf61254f41c49125e31bf37614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee6765a83140d745a6de4c85d9b6b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6bc4ac395a4beceaf064f4df953269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd2fe1d086e8bebc3097421913c7c946.png)
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3 . 如图所示,某地区为了绿化环境,在区域
内大面积植树造林,第
棵树在点
处,第
棵树在点
处,第
棵树在点
处,第
棵树在点
处,根据此规律按图中箭头方向每隔
个单位种
棵树,那么:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/af825ec2-0976-4ce0-a8c9-dde80028f44d.png?resizew=147)
(1)第
棵树所在点的坐标是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ ;
(2)第
棵树所在点的坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6405a18bfe6f4865e59f0332003ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c98fcb6e7932a7e0df506849a6f506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deba28de8018535790f6d1cdc2991518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9e080dae80c7243a823f9828476c8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8fa7e23e002ef1027b9f941efbf1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/af825ec2-0976-4ce0-a8c9-dde80028f44d.png?resizew=147)
(1)第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22bd3f6eece37386ce3c3c871b3e380f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
(2)第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e5633a5d0cc30b254167e3dda5803.png)
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6卷引用:专题04+等差数列-2020-2021学年【补习教材·寒假作业】高二数学(文)(人教A版)
(已下线)专题04+等差数列-2020-2021学年【补习教材·寒假作业】高二数学(文)(人教A版)(已下线)专题04+等差数列-2020-2021学年【补习教材·寒假作业】高二数学(理)(人教A版)(已下线)专题09+等差数列-2020-2021学年【补习教材·寒假作业】高二数学(人教A版2019)(已下线)专题4.6 《数列》单元测试卷(B卷提升篇)-2020-2021学年高二数学选择性必修第二册同步单元AB卷(新教材人教A版,浙江专用)江苏省镇江市扬中市第二高级中学2021-2022学年高二下学期期初数学试题宁夏银川市贺兰县第二高级中学2023-2024学年高二上学期期末考试数学试卷
4 . 若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576fe4eec629db5b6362c527125bcd6f.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255483db09b1e523a4fcc1f618b98ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a18c4b486e0f8ff04cef7ca34c44c6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576fe4eec629db5b6362c527125bcd6f.png)
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5卷引用:上海市上海师范大学附属中学2019-2020学年高二上学期期末数学试题
上海市上海师范大学附属中学2019-2020学年高二上学期期末数学试题(已下线)专题2.4 复数【专项训练】-2020-2021学年高一数学下学期期末专项复习(沪教版2020)(已下线)第20讲 期末复习(练习)基础卷-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)第9章 复数(基础过关)-2020-2021学年高一数学下册单元测试定心卷(沪教版2020必修第二册)(已下线)第18讲复数全章复习(讲义)-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)
名校
5 . “杨辉三角形”是二项式系数在三角形中的一种几何排列.在欧洲,这个表叫做帕斯卡三角形.帕斯卡(1623~1662)是在1654年发现这一规律的,比杨辉要迟393年.“杨辉三角”是中国古代数学的杰出研究成果之一,它把二项式系数图形化,把组合数内在的一些代数性质直观地从图形中体现出来.下面数表类似“杨辉三角”,从上到下分别为第1行、第2行、第3行、…第
行、….它满足:①第
行首尾的数均为
;②第
行除首尾的数外,每一个数都等于它肩上(即第
行)两个数之和.记第
行的第二个数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/121bf73fe8df7b2be624beed5949c632.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8715a3f984d2627afd7c40c61347b7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aadf9ab510510120699c5eee39ab18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f27f84764f1cca89ce3d93fc1cf603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/121bf73fe8df7b2be624beed5949c632.png)
![](https://img.xkw.com/dksih/QBM/2020/12/24/2621157547114496/2623084031180800/STEM/9052a7e493b64d59b79c0d7317bdd7cd.png?resizew=115)
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2020-12-27更新
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159次组卷
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2卷引用:河南省九师联盟2020-2021学年高三上学期12月月考数学(理)试题
6 . 已知复数
在复平面内对应的点分别为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c70b864ea82be133a11c117eb212cf.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d9cd8cb32f0f3d905194c6d4854d1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/873d62402aaea925b1d063a6e8f5c2d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c70b864ea82be133a11c117eb212cf.png)
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名校
7 . 将数列
中的所有项排成如下数阵:其中每一行项数是上一行项数的2倍,且从第二行起每一行均构成公比为2的等比数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
,
,
,
,
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bbae9353140c2235610852d04a9a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab783880d7aabc422916886630fc576.png)
记数阵中的第1列
,
,
,
构成的数列为
,
为数列
的前
项和,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414187fca31df508dbf88d7f2bb83662.png)
______ ,
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e35eeaabd951fb09b2926807da3685b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e84c30444f13d37ada78285dc4f83b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e76d1d8e50dda4d50229a8a20c57e58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e7b23fd74e3cf89ac541cb7a5d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be9c9b05fd84ac9256d49a5a553af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bbae9353140c2235610852d04a9a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab783880d7aabc422916886630fc576.png)
记数阵中的第1列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2612ac1898372c023663064336b1daab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414187fca31df508dbf88d7f2bb83662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22458185a169ccd926787f40d1e898ff.png)
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2020-11-29更新
|
335次组卷
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3卷引用:湖南省娄底市冷水江市第一中学2020-2021学年高三上学期期中数学试题
湖南省娄底市冷水江市第一中学2020-2021学年高三上学期期中数学试题(已下线)第44练 推理与证明-2021年高考数学(文)一轮复习小题必刷江苏省南通市西亭高级中学2020-2021学年高三上学期省模考模拟二数学试题
8 . 已知复数z满足:
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e63ad6602f81cc97ebd2f584931e116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a176cfc17acf73eba234dfccadd8f1e.png)
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2020-09-26更新
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377次组卷
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3卷引用:安徽省皖南八校2020-2021学年高三上学期摸底联考理科数学试题
安徽省皖南八校2020-2021学年高三上学期摸底联考理科数学试题(已下线)7.2 复数的四则运算(精练)-2020-2021学年高一数学一隅三反系列(人教A版2019必修第二册)陕西省榆林市绥德中学2020-2021学年高二下学期6月质量检测理科数学试题
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9 . 一个自然数的立方,可以分裂成若干个连续奇数的和.例如:
、
和
分别可以“分裂”成2个、3个和4个连续奇数的和,即
,
,
,…若
也按照此规律来进行“分裂”,则
“分裂”出的奇数中,最小的奇数是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6648bc986a558fa32e752d28d3a68431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c09a0d924acb0b70f5b92b1ef2b6b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b630bc20f1ca5fd0621ca3d4b1dbf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/430b424bdc195b1dab036779fb956b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232f4299d55ea79adf3222d779cc41c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07dba6451511827fbd4d402e88b71ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e1e35d057b8c277dbf2f052c4dcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e1e35d057b8c277dbf2f052c4dcfb.png)
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10 . 已知复数z满足:
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e63ad6602f81cc97ebd2f584931e116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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