名校
解题方法
1 . 已知数列
满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c5cad9aa4006c1d61d3634e24ce22a0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-03-03更新
|
817次组卷
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3卷引用:重庆市乌江新高考协作体2023-2024学年高二下学期5月期中考试数学试题
名校
解题方法
2 . 数列
的前n项和
,已知
,
,k为常数.
(1)求常数k和数列
的通项公式;
(2)数列
的前n项和为
,证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0aa089f8a9e5953e4421d06fdeffc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062878700c0373489ec5218ffd922db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b989b20a658038d7706ee484db3f4e.png)
(1)求常数k和数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8050391385b496e9c059201e4f12600a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0aa089f8a9e5953e4421d06fdeffc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
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2023-11-18更新
|
1163次组卷
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2卷引用:重庆市巴蜀中学2024届高考适应性月考卷(四)(期中)数学试题
3 . 数列
,
满足:
,
,
,则数列
的最大项是第( )项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f7fcf0c4c6e0b96336017e62bc062e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69da1783e55da978610e76993394cdda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
A.6 | B.7 | C.8 | D.9 |
您最近一年使用:0次
名校
解题方法
4 . 已知数列
满足
,
,且当
时,有
,
(1)求
;
(2)若数列
中
,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c8eb27a0021fce717d386d0388df3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e468312d09c6563c9094b710a35a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a03ce535140972aed0d47cf1ea950d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdafec317dbd9ded73a7c4c74a5f10d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
您最近一年使用:0次
名校
解题方法
5 . 已知数列
中,
,若对任意
,则数列
的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e33756adee6c95be03d4df2178a504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9733bcf68e01257915371ff05cfc08d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30136113176ba7fe660e998d0873157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
您最近一年使用:0次
2023-11-03更新
|
1022次组卷
|
5卷引用:重庆市北碚区西南大学附属中学校2024届高三上学期11月期中数学试题
6 . 已知数列
满足
,
.给出下列四个结论:
①数列
每一项
都满足
;②数列
的前
项和
;
③数列
每一项都满足
成立;④数列
每一项
都满足
.
其中,所有正确结论的序号是_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35becfccb4eee2d53a0c92865ebb9b43.png)
①数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455b8aa38eefb19463a0cc24efe3815.png)
![](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/94351ce858fa3f3a09cfadc2d23d7253.png)
③数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff1c4afd5d0ae01ea180a2e61fe51cef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e722481402e29b9713b5e75faac482.png)
其中,所有正确结论的序号是
您最近一年使用:0次
2023-10-10更新
|
701次组卷
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4卷引用:重庆市乌江新高考协作体2024届高三上学期期中数学试题
重庆市乌江新高考协作体2024届高三上学期期中数学试题北京市东直门中学2024届高三上学期阶段检测(10月月考)数学试题(已下线)第4章 数列 单元综合检测(难点)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)北京市第八中学2023-2024学年高三下学期零模练习数学试题
7 . 大衍数列来源于《乾坤谱》中对易传“大衍之数五十”的推论,主要用于解释中国传统文化中的太极衍生原理,数列中的每一项都代表太极衍生过程.已知大衍数列
满足
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bae03ee4ac75dacfb026290e4207dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a1d022fbfa1d61291bf532198b3e713.png)
A.![]() | B.![]() |
C.![]() | D.数列![]() ![]() ![]() |
您最近一年使用:0次
2022-09-11更新
|
4771次组卷
|
19卷引用:重庆市凤鸣山中学教育集团2023届高三上学期期中数学试题
重庆市凤鸣山中学教育集团2023届高三上学期期中数学试题湖北省部分省级示范高中2022-2023学年高三上学期期中联考数学试题重庆市乌江新高考协作体2022-2023学年高二下学期期末数学试题福建省漳州市2023届高三上学期第一次教学质量检测数学试题河北省深州市中学2023届高三上学期第二次月考数学试题广东省广州市第十六中学2023届高三上学期12月模拟数学试题广东省2023届高三上学期素质评价一数学试题福建师范大学附属中学2023届高三上学期第二次月考数学试题(已下线)专题4 分类讨论思想广东省深圳外国语学校2022-2023学年高二上学期期末数学试题(已下线)第6讲 数列的通项公式的11种题型总结(1)河北省邯郸冀南新区育华实验学校2022-2023学年高二下学期第二次学科素养调研数学试题福建省漳州立人学校2022-2023学年高二上学期12月月考数学试题福建省泉州市泉港区第一中学2023-2024学年高二上学期第二次月考数学试题江苏省苏南八校2023-2024学年高二创新班上学期12月联考数学试题江苏省苏南八校2023-2024学年高二上学期12月联考数学试卷江苏省镇江第一中学2022-2023学年高二上学期期末考试数学试题(已下线)第4章 数列单元测试能力卷-2023-2024学年高二上学期数学人教A版(2019)选择性必修第二册单元测试A卷——第四章 数列
8 . 若数列
满足:
,其中
且
,若
对任意
成立,则实数
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b50f9b4910d71c766bb6f821469b1df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd74d2838fdf9f2217b00c9433b1f3c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1512b9a0d9d79f8b71ced14eacd85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc92d5e8e418638ceee1218c21ea4b4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5cf9c12181dd8683944b2b30bf8e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() | B.4 | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知数列
的前
项和为
,满足
对任意的
恒成立.数列
为等差数列,它的前
项和为
,满足
,
.
(1)求
与
;
(2)若
,
对任意的
恒成立,求
.
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ddd6d99ad32dd7fdb1797d8cf94786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0000d271ffbfcb3a52b7b62a5a9d0f8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b717cee9f7a9bde4043bd6cdc439f410.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ea9e0ead7a42e1bcbe7d37d1a60954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b25b3353265e6a5757c50aa747217d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59e7c7a84a4bdb959e95536d0404ceb.png)
您最近一年使用:0次
2022-11-19更新
|
557次组卷
|
2卷引用:重庆市第一中学校2023届高三上学期期中数学试题