名校
解题方法
1 . 对于一组向量
,
,
,…,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5d8979b38c59bf578ac42b8ff828fd.png)
,令
,如果存在
,使得
,那么称
是该向量组的“
向量”.
(1)设
,若
是向量组
,
,
的“
向量”,求实数
的取值范围;
(2)若
,向量组
,
,
,…,
是否存在“
向量”?给出你的结论并说明理由;
(3)已知
、
、
均是向量组
,
,
的“
向量”,其中
,
.设在平面直角坐标系中有一点列
,
,
…
满足:
为坐标原点,
为
的位置向量的终点,且
与
关于点
对称,
与
关于点
对称,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cfb8c8707c3960bf1fd46b805e481d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a68c67f815a331e77e2d2803cf6bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc7540c4cdee4c34a9311c79b35d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5d8979b38c59bf578ac42b8ff828fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e19d174b56089b02e0bc307dc024c35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13eee97ef35e938aafc1b41ecb3a4d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5e2edb48460ee53b58c520fdb1380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0637cdb1d645028b286e4e274f2358bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7408c80684a7ed78f1d3af5ed249c4c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b05df89f6fbdc4255a634b2ffa6bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb6823d280520da116cf1bc3943cf42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cfb8c8707c3960bf1fd46b805e481d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a68c67f815a331e77e2d2803cf6bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc7540c4cdee4c34a9311c79b35d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f515492171a791777ce122273ff28c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cfb8c8707c3960bf1fd46b805e481d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a68c67f815a331e77e2d2803cf6bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc7540c4cdee4c34a9311c79b35d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5d8979b38c59bf578ac42b8ff828fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cfb8c8707c3960bf1fd46b805e481d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a68c67f815a331e77e2d2803cf6bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc7540c4cdee4c34a9311c79b35d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cfb8c8707c3960bf1fd46b805e481d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a68c67f815a331e77e2d2803cf6bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc7540c4cdee4c34a9311c79b35d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70607e01d10193a1768d8c512380e79a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d8dba9db4965646d1d423507e971661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f52b152eaf63415b10ed786a58a2747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15520cf5be7c2685975aac51bc99ac4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb6823d280520da116cf1bc3943cf42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7843d969caba71440ae78d963d89aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b19a6485af6c3f7a9c5a7f21d417241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ba716de9a987b867537febd4d2e338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1388e5e0e9573d6de0a88c10a5abe116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326519ed00b6190a806eacb9eafcbc76.png)
您最近一年使用:0次
2021-03-07更新
|
755次组卷
|
3卷引用:第11讲 平面向量-3
2 . 已知函数
各项均不相等的数列
满足
.令
.给出下列三个命题:(1)存在不少于3项的数列
使得
;(2)若数列
的通项公式为
,则
对
恒成立;(3)若数列
是等差数列,则
对
恒成立,其中真命题的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e115dd0cb0c28b33cdc1a43e9be779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6044fe76e20b5da7861f3d9b3f3143e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec26010780db181e89a51f780743f6ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d87a9b5258b1a5eaee3b71004a4838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8fcccbb1234ad67314c96f9856e240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b1a21f360eab1fb27b8cc15db4c04a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da6273df1952961f128bb340bc28e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b6d151d3f864bae873987f6db9327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa2cc49cadf5bf94f8df8318fa7bd519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
A.(1)(2) | B.(1)(3) | C.(2)(3) | D.(1)(2)(3) |
您最近一年使用:0次
2020-11-15更新
|
1711次组卷
|
6卷引用:数学-6月大数据精选模拟卷04(上海卷)(满分冲刺篇)
(已下线)数学-6月大数据精选模拟卷04(上海卷)(满分冲刺篇)(已下线)考向03 函数及其性质-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)考向15 等比数列-备战2022年高考数学一轮复习考点微专题(上海专用)2019年上海市上海师范大学附属中学高三下学期第二次质量检测数学试题上海市南洋模范中学2021届高三上学期期中数学试题上海交通大学附属中学2021-2022学年高一下学期5月线上月考数学试题
名校
解题方法
3 . 已知
(
)
(1)若
对
恒成立,求实数a范围;
(2)求证:对
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ae3a06e2db61ce958f143eb7f7390b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(2)求证:对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5141a5b907f5ff11bbd7cacbd7b5db3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4d16e77a13cb72c849cac26c8ae54e.png)
您最近一年使用:0次
2020-07-25更新
|
1083次组卷
|
4卷引用:专题05 数列-【备战高考】2021年高三数学高考复习刷题宝典(压轴题专练)
(已下线)专题05 数列-【备战高考】2021年高三数学高考复习刷题宝典(压轴题专练)四川省成都市第七中学2020年普通高等学校招生统一热身考试文科数学试题四川省成都市第七中学2020届高三高考(7.2)热身考试文科数学试题四川省成都市树德中学2021-2022学年高三上学期11月阶段性测试(期中)数学(理)试题
4 . 一青蛙从点
开始依次水平向右和竖直向上跳动,其落点坐标依次是
,(如图,
的坐标以已知条件为准),
表示青蛙从点
到点
所经过的路程.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/220d0549-124f-4dc9-b590-7ce2b6b0a176.png?resizew=157)
(1)点
为抛物线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
准线上一点,点
,
均在该抛物线上,并且直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
经过该抛物线的焦点,证明
;
(2)若点
要么落在
所表示的曲线上,要么落在
所表示的曲线上,并且
,试写出
(不需证明);
(3)若点
要么落在
所表示的曲线上,要么落在
所表示的曲线上,并且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058f5d00375f8083ff14dcf3745e4268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801c40c4b1b8b4155ccf08fc8df59342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058f5d00375f8083ff14dcf3745e4268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7356ec98b600ece41f3a6b4bc26a7d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/220d0549-124f-4dc9-b590-7ce2b6b0a176.png?resizew=157)
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058f5d00375f8083ff14dcf3745e4268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75ed10db4b9747a4b6d865b774f6b6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfbb8b3c14e9617655321cab31acebc.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5661e7739636a3ff1479ab6a807d19b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0379cdb1fbe207a32568a978947fa41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e53542ad942e269a580a4dc7cc6fef.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf11327fc262b1351099455f6b9eed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02fa322f632dcd72048918b616511ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d55d2201d4d9aa7846b17a249ac528b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de918291423d4f2126ac8cc7d4b9edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/772e1830de8a5b2bede8f5614d93a1d2.png)
您最近一年使用:0次
名校
5 . 设
是数列
的前n项和,对任意
都有
,(其中k、b、p都是常数).
(1)当
、
、
时,求
;
(2)当
、
、
时,若
、
,求数列
的通项公式;
(3)若数列
中任意(不同)两项之和仍是该数列中的一项,则称该数列是“封闭数列”。当
、
、
时,
.试问:是否存在这样的“封闭数列”
.使得对任意
.都有
,且
.若存在,求数列
的首项
的所有取值的集合;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd4a3acd033d1d6c2fee71f1aef12c9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee4ee43bf33b641aadeba4dd939cfa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d9880afb9e2262dbfcf20235e85a62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced4e381e8c3336848b8c436dbc584f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a77080abccc0503b2a90eec3a64e10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d9880afb9e2262dbfcf20235e85a62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf4000fec5bf94d56935108d72af3c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d236a265a6cc0f3d06a0e568ffa907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3165b659bd23ae0d54b24578dd199dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
您最近一年使用:0次
6 . 记无穷数列
的前n项中最大值为
,最小值为
,令
,数列
的前n项和为
,数列
的前n项和为
.
(1)若数列
是首项为2,公比为2的等比数列,求
;
(2)若数列
是等差数列,试问数列
是否也一定是等差数列?若是,请证明;若不是,请举例说明;
(3)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a625b91e0eba33b107550ee2a1e2f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293570f1284f5161d0c9e83c1aef7777.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5aa7e5aa8c3ec36553935627b7b59a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
您最近一年使用:0次
2019-01-29更新
|
955次组卷
|
4卷引用:专题6.3 等比数列及其前n项和(练)-江苏版《2020年高考一轮复习讲练测》
(已下线)专题6.3 等比数列及其前n项和(练)-江苏版《2020年高考一轮复习讲练测》(已下线)专题6.4 数列求和(练)-江苏版《2020年高考一轮复习讲练测》【市级联考】江苏省扬州市2019届高三第一学期期末检测数学试题【市级联考】江苏省扬州市2019届高三第一次模拟考试 数学试题
名校
解题方法
7 . 已知数列
,其中
.
(1)若
满足
.
①当
,且
时,求
的值;
②若存在互不相等的正整数
,满足
,且
成等差数列,求
的值.
(2)设数列
的前
项和为
,数列
的前n项和为
,
,
,若
,
,且
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32037f9c276fd7be08fd7e6719f3737.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d9b6c86435e0ceff94d8ad1cd03737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
②若存在互不相等的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aedb7b216cb72510968939850b24050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f6d423ac8d9936c1c7b193c28d1c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84db9790882c0cdc3276ade3f6f16588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59e7c7a84a4bdb959e95536d0404ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912c6cdcb3fa703c8bdec96aa9a19f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45675b702a235e6f18709a2a0c0b8281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2019-01-23更新
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1231次组卷
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4卷引用:专题6.1 数列的概念与简单表示法(练)-江苏版《2020年高考一轮复习讲练测》
(已下线)专题6.1 数列的概念与简单表示法(练)-江苏版《2020年高考一轮复习讲练测》【市级联考】江苏省盐城市、南京市2019届高三年级第一次模拟考试数学试题2019届江苏省无锡市第一中学高三下学期2月期初考试数学试题2019届江苏省南京市、盐城市高三第一次模拟数学试题
8 . 如图所示,已知
,对任何
,点
按照如下方式生成:
,且
按逆时针排列,记点
的坐标为
,则
为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dfbc420f80712e67ded7f1501abee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8172796a9473b3c17ef6429961203796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29789b0b8a676f5dffcdb979e381117a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a7ed18b785f6c8068dfe8c4dd0d717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6e963dcffaf1181c5f1f4639057db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aadd51d72723320ae712a8a7622551cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef0bf7b5edd8955fce0742b840ea606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be80fc463c98d466eb360c134ee16a3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-12-05更新
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1058次组卷
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8卷引用:模块07 数列与数学归纳法-2022年高考数学一轮复习小题多维练(上海专用)
(已下线)模块07 数列与数学归纳法-2022年高考数学一轮复习小题多维练(上海专用)上海市控江中学2018-2019学年高三上学期12月月考数学试题湖南省湘潭一中2019-2020学年高三上学期11月月考理科数学试题(已下线)4.3利用递推公式表示数列(第2课时)(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高二数学精品教学课件上海市七宝中学2023届高三三模数学试题山东省青岛市第五十八中学2024届高三上学期期末数学试题【全国百强校】上海市复旦附中2018-2019学年高二上学期期中考试数学试题(已下线)专题04数列--高二期末考点大串讲(沪教版2020选修)
9 . 已知集合
,
.将
的所有元素从小到大依次排列构成一个数列
.记
为数列
的前n项和,则使得
成立的n的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbf76d1b6431e169c999f2aa2d86781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ef372d2db9313e40ed77d183e5c0bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41dbe53b64bb6be0d1ac38a4e8f989c6.png)
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2018-06-10更新
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9852次组卷
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49卷引用:2018年高考题及模拟题汇编 【理科】4.数列与不等式
(已下线)2018年高考题及模拟题汇编 【理科】4.数列与不等式(已下线)2018年高考题及模拟题汇编 【文科】4.数列与不等式(已下线)10.算法、推理与证明、复数[文] -《备战2020年高考精选考点专项突破题集》(已下线)专题14 数列的综合应用-《巅峰冲刺2020年高考之二轮专项提升》(江苏)专题10 算法、推理与证明、复数[理]-《备战2020年高考精选考点专项突破题集》(已下线)专题12 数列——三年(2018-2020)高考真题理科数学分项汇编(已下线)专题12 数列——三年(2018-2020)高考真题文科数学分项汇编(已下线)专题08 数列-五年(2016-2020)高考数学(文)真题分项(已下线)专题08 数列-五年(2016-2020)高考数学(理)真题分项(已下线)考点20 数列的综合运用-2021年高考数学三年真题与两年模拟考点分类解读(新高考地区专用)(已下线)考点19 数列通项与求和与通项-2021年高考数学三年真题与两年模拟考点分类解读(新高考地区专用)(已下线)专题19 数列的求和问题-十年(2011-2020)高考真题数学分项(已下线)考点23 数列的综合应用-备战2021年高考数学(文)一轮复习考点一遍过(已下线)专题33 算法、复数、推理与证明-十年(2011-2020)高考真题数学分项(六)(已下线)第23练 等比数列-2021年高考数学(理)一轮复习小题必刷(已下线)第22练 等差数列-2021年高考数学(理)一轮复习小题必刷(已下线)专题18+新定义题、推理与证明-2021高考数学(理)高频考点、热点题型归类强化(已下线)专题08 数列的通项、求和及综合应用 第一篇 热点、难点突破篇(练)-2021年高考数学二轮复习讲练测(浙江专用))(已下线)专题20 数列综合问题的探究-2021年高考数学二轮优化提升专题训练(新高考地区专用)【学科网名师堂】(已下线)预测07 数列-【临门一脚】2020年高考数学三轮冲刺过关(江苏专用)(已下线)2021年高三数学二轮复习讲练测之练案 专题十九 数列中的最值问题(文理通用)(已下线)数学-2021年高考考前20天终极冲刺攻略(三)(新高考地区专用)【学科网名师堂】 (6月1日)(已下线)模块07 数列与数学归纳法-2022年高考数学一轮复习小题多维练(上海专用)(已下线)专题08 数列-五年(2017-2021)高考数学真题分项汇编(文科+理科)(已下线)专题15 盘点与数列有关的最值问题——备战2022年高考数学二轮复习常考点专题突破(已下线)专题22 等差等比数列性质的巧用-学会解题之高三数学万能解题模板【2022版】(已下线)专题24 数列求和的常见方法-学会解题之高三数学万能解题模板【2022版】(已下线)专题6.3 等比数列及其前n项和(练)-江苏版《2020年高考一轮复习讲练测》(已下线)专题11 押全国卷(理科)第4、8题 数列(已下线)专题05 数列 第三讲 数列与不等关系(分层练)(已下线)专题06 数列小题(理科)-2(已下线)专题05 数列小题(7类题型,文科)2018年全国普通高等学校招生统一考试数学(江苏卷)江西省都昌县第一中学2019届高三上学期第一次调研考试理科数学【全国百强校】浙江省杭州第十四中学2019届高三12月月考试数学试题上海市西南位育中学2019-2020学年高三上学期期中数学试题(已下线)【新教材精创】第五章-复习与小结 -B提高练 上海市大同中学2021届高三上学期开学考试数学试题上海市松江二中2023届高三上学期9月月考数学试题上海市曹杨第二中学2023届高三上学期12月月考数学试题沪教版(2020) 一轮复习 堂堂清 第四单元 综合练习北京市海淀区北京理工大附中高三上学期12月练习数学试题江苏省常州市第三中学2020-2021学年高二上学期10月学情检测数学试题(已下线)第四章 数列测试 B提高练湖南省益阳市桃江县第一中学2020-2021学年高二下学期入学考试数学试题苏教版(2019) 选修第一册 一蹴而就 第4章 单元整合上海市吴淞中学2021-2022学年高二上学期期末数学试题江苏省扬州中学2022-2023学年高二下学期3月月考数学试题上海市大同中学2023-2024学年高一下学期5月月考数学试题
解题方法
10 . 已知数列
的奇数项和偶数项为公比为
的等比数列,
,且
.则数列
的前
项和的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535fd9605b90ac7f0fed6025be9f851f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/855ba970de183d21672127127fc1bc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662addba4f63bec99e0b44ca42302232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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