1 . 已知函数
满足
,数列
满足:
.
(1)求数列
的通项公式;
(2)数列
满足
,其前
项和为
,若
对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f47a8dbff3f06c502f370e6961106da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b209230761fa07f63e4300b7f029429d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd2b2b1c9c82997b28888cef839e67b.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/27c93c6fb7f0a29fee41862aa7604470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655c46b33730f3a29b9ec3024df71375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2024-02-23更新
|
763次组卷
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4卷引用:第一章数列章末十六种常考题型归类(3)
(已下线)第一章数列章末十六种常考题型归类(3)福建省龙岩市2023-2024学年高二上学期期末教学质量检查数学试题四川省天府新区实外高级中学2023-2024学年高二下学期3月月考数学试卷(已下线)专题04数列求和的6种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北师大版2019选择性必修第二册)
2 . 已知数列
是公比为q(
)的正项等比数列,且
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45482d31d1d7448c9f3922b4d2a55331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f0de4174c3b57cbc18db073c37a049e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d787262919c1d297882486899b8f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7715b064d33fa7de3f0ac2ef6aeee8.png)
A.4069 | B.2023 |
C.2024 | D.4046 |
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2024-01-24更新
|
1403次组卷
|
4卷引用:第一章数列章末十六种常考题型归类(3)
(已下线)第一章数列章末十六种常考题型归类(3)云南省曲靖市第二中学学联体2024届高三第一次联考数学试卷广东省广州市华南师大附中2024届高三上学期第二次调研数学试题重庆市第一中学校2023-2024学年高二下学期开学考试数学试题
3 . 已知
,数列
的前
项和为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abed1ac56be30f49a68f04ccd46cc98.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21088d0af883ef0df5e2c4b5f7e53fcf.png)
A.8096 | B.8094 | C.4048 | D.4047 |
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2024-01-20更新
|
931次组卷
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7卷引用:第一章数列章末十六种常考题型归类(3)
(已下线)第一章数列章末十六种常考题型归类(3)山东省菏泽市鄄城县第一中学2023-2024学年高二上学期1月月考数学试题江西省吉安市多校联考2023-2024学年高二下学期3月月考数学试题辽宁省沈阳二中2023-2024学年高二下学期第一次阶段测试数学试题(已下线)北师大版本模块五 专题2 全真基础模拟2(高二期中)辽宁省朝阳市建平县实验中学2023-2024学年高二下学期4月月考数学试题(已下线)专题07 数列通项与数列求和常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
4 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d48dd63807c637c7edbb70e693aaebcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c78386610501d06cd65b9ef5b5008f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-17更新
|
1062次组卷
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4卷引用:专题01 两个计数原理与排列组合(7类压轴题型)-【常考压轴题】2023-2024学年高二数学压轴题攻略(人教A版2019选择性必修第三册)
(已下线)专题01 两个计数原理与排列组合(7类压轴题型)-【常考压轴题】2023-2024学年高二数学压轴题攻略(人教A版2019选择性必修第三册)辽宁省县级重点高中协作体2023-2024学年高二上学期期末数学试题(已下线)第7章 计数原理单元综合能力测试卷(新题型)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第二册)(已下线)专题01计数原理、排列组合、二项式定理9种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(人教B版2019选择性必修第二册)
5 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4329af0570e78b81e930074029ee60b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd20eb5d6d6f4122121335831c0000ae.png)
A.-8088 | B.-8090 | C.-8092 | D.-8094 |
您最近一年使用:0次
名校
解题方法
6 . 已知
为正项等比数列,且
,若函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b00ea0c0f96d172eca80372544bfcf3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7883ba55ca16f255f4e83562a8912cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7414b11a5204428e737ecdb792f9a54d.png)
A.2023 | B.2024 | C.![]() | D.1012 |
您最近一年使用:0次
7 . 记
为数列
的前
项和,已知:
,
(
).
(1)求证:数列
是等差数列,并求数列
的通项公式;
(2)求和:
.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08fa016d61b7bd66e4e06ab39673ff2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832fd7a51831135b6ee6a01981db250e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求和:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4700945d9e062f63a516f562df753e2a.png)
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8 . 已知函数
,正项等比数列
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ede9f9a210724cab5ad52991c4125c.png)
_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0911d72642d9f90d57480e187c407832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5448ae0bbfa55b6925e33b6d4963a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ede9f9a210724cab5ad52991c4125c.png)
您最近一年使用:0次
名校
解题方法
9 . 已知数列
满足:
(
),数列
满足
.
(1)求数列
的通项公式;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f6c77056160c5cd9495b237a213ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b0b2668db49873d6c3bdf9c2ab6c1d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f8980886204ef0b045eb6ab0a8919f.png)
您最近一年使用:0次
2023-11-22更新
|
2105次组卷
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5卷引用:考点10 数列求和 2024届高考数学考点总动员【练】
(已下线)考点10 数列求和 2024届高考数学考点总动员【练】(已下线)重难点5-2 数列前n项和的求法(8题型+满分技巧+限时检测)(已下线)专题09 数列的通项公式、数列求和及综合应用(练习)-2云南师范大学附属中学2024届高三上学期第五次月考数学试题宁夏吴忠市吴忠中学2023-2024学年高三上学期第四次月考数学(理科)试卷
10 . 设
,若
,
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b269dce1ae3396d2afc82a91dc6f97ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896df31f80127adbae738b3a014bd4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bbecf5d9f49e9bc711a372b6be5d07.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
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