名校
解题方法
1 . 已知数列
满足
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a992d15aeaff2b15f7d5c3a5e923cb7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
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|
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4卷引用:天津市南开区2023-2024学年高二上学期阶段性质量监测(二)数学试题
天津市南开区2023-2024学年高二上学期阶段性质量监测(二)数学试题广东省惠州市第一中学2024届高三元月阶段测试数学试题(已下线)考点14 数列中的最值问题 2024届高考数学考点总动员(已下线)1.2 数列的函数特性6常见考法归类-【帮课堂】2023-2024学年高二数学同步学与练(北师大版2019选择性必修第二册)
2 . 记
是各项均为正数的数列
的前n项和,
.数列
满足
,且
则下列选项错误 的是( )
![](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/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83fde28e10c6c6fb6b4abdf08bd71adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f9ef894d148f27df71be78d647d7b6.png)
A.![]() |
B.![]() |
C.数列![]() ![]() |
D.![]() |
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5卷引用:天津市滨海新区塘沽第一中学2023-2024学年高二上学期期末数学练习9
天津市滨海新区塘沽第一中学2023-2024学年高二上学期期末数学练习9福建省龙岩市2022-2023学年高二上学期期末教学质量检查数学试题(已下线)专题11 数列前n项和的求法 微点5 裂项相消法求和(三)福建省新高考2023-2024学年高二上学期期末模拟数学试题(已下线)专题9 数列放缩求范围
3 . 已知数列
的通项公式为:
,数列
的前n项和为
,若对任意的正整数n,不等式
恒成立,则实数c的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec200fb9ec5f653bbbc5312bcf8789b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55770cb470f11e65ef918a7c96c4a83f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-01-09更新
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789次组卷
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4卷引用:天津外国语大学附属外国语学校2022-2023学年高二上学期期末线上质量监测数学试题
天津外国语大学附属外国语学校2022-2023学年高二上学期期末线上质量监测数学试题(已下线)专题1 数列的单调性 微点10 数列单调性综合训练安徽省合肥市肥东县综合高中2022-2023学年高三下学期开学考试数学试题(已下线)重难点专题01 数列的概念-2022-2023学年高二数学重难点题型分类必刷题(人教B版2019选择性必修第三册)
解题方法
4 . 已知数列
的前n项和为
,则
取得最大值时n的值为________ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbbc065dd879dc9ec5be4bb392b7917.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f791f1cfbce6240462eb91133de99490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbbc065dd879dc9ec5be4bb392b7917.png)
您最近一年使用:0次
名校
5 . 已知数列
的通项公式为
,前
项和为
,则
取得最小值时,
的值等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4797617c4c27d0ae935475694ed3fed5.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.10 | B.9 | C.8 | D.4 |
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|
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6卷引用:天津市河西区2021-2022学年高三上学期期末数学试题
6 . 已知等比数列
的前
项和为
,
是等差数列,
,
,
,
.
(Ⅰ)求
和
的通项公式;
(Ⅱ)设
的前n项和为
,
,
.
(ⅰ)当n是奇数时,求
的最大值;
(ⅱ)求证:
.
![](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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd3a25ac2cde3d2c884028f750cfff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684b935a7274130d081bfa7b2b938023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c45994e58cc2032df1cc501e44ed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b3874af2d1f4dcf456e5d24c4359a9.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(Ⅱ)设
![](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/7db76422e0e75880dab2c22b549e1323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(ⅰ)当n是奇数时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b3820b14ec56411661ab328bb2ad17.png)
(ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58924a1e6d16eff497407912c41fa5f.png)
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4卷引用:天津市和平区2021届高三下学期一模数学试题
天津市和平区2021届高三下学期一模数学试题(已下线)天津市和平区2021届高三下学期第一次质量调查数学试题天津市宝坻区第一中学2020-2021学年高三上学期第四次月考数学试题天津市河东区第三十二中学2024届高三上学期第二次月考数学试题
名校
解题方法
7 . 已知数列
满足
,数列
满足
.
(1)求数列
、
的通项公式;
(2)令
,求数列
的前n项和
;
(3)
,求对任意的正整数n都有
成立的k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1575862605ff992ef5b8db9e1627243e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4f231f556d4ae2a39cf38c76fc714d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b67af73f586837594ab0db4b89baed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33305ffdb35723c9863523ac48cfc7bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1275b12f777f1e88fbadc45dda6622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2140e0cd8aaffd8436ed5a20bf76f7.png)
您最近一年使用:0次
名校
解题方法
8 . 已知数列
的前
项和为
,满足
,数列
满足
,且
.
(1)证明数列
为等差数列,并求数列
和
的通项公式;
(2)若
,求数列
的前2n项和
;
(3)若
,数列
的前
项和为
,对任意的
,都有
,求实数
的取值范围.
![](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/deb64a2d5265b33d6c6727b956c9c29a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0ac6e090846e97ccedd2f6d9168bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f997e6d483c0d0990cb550bbde39fa9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b5eef03339913e27e0ce81d6f32b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a17951c56a2ebe66ef13d08135ac0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d4e8502106802f1485c3b0f28f2664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee6e88ac0b5133d7f51c7e166faf77e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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|
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10卷引用:天津市滨海新区七所重点学校2018届高三毕业班联考数学文科试题
天津市滨海新区七所重点学校2018届高三毕业班联考数学文科试题天津市南开中学2021届高三下学期三模数学试题天津市市区重点中学2022届高三下学期三模数学试题(已下线)天津市七所重点学校2023届高三下学期3月联考文科数学试题天津市北辰区南仓中学2024届高三上学期教学质量过程性检测与诊断数学试题【全国校级联考】滨海新区七所重点学校2018届高三毕业班联考数学(文)试题江苏省南通市启东中学2019-2020学年高二上学期第二次质检数学试题江苏省南通市启东中学2019-2020学年高二上学期第一次质量检测数学试题江苏省扬州市高邮中学2020-2021学年高二上学期9月月考数学试题四川省成都外国语学校2021-2022学年高二上学期入学考试数学(理)试题
名校
解题方法
9 . 已知数列
满足
.
(1)求
;
(2)若
,数列
的前n项和为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
①求
;
②对于任意的
,均有
恒成立,求m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cca5ec0f1af152b1993fa3b041f8356.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7af81b8983a36debb3c1f6339a6eeef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
②对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d5ec9ad92f37e64eccce922ab1b14e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b96462c90521bbeb401aef56bdf8347.png)
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2020-11-14更新
|
609次组卷
|
3卷引用:天津市第二十中学2023-2024学年高三下学期第三次统练数学试卷
名校
解题方法
10 . 已知数列
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
______ ,若对任意的
,
恒成立,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efadebee4c96001d255c36fa76c8a3b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f744566f7454d64566f5e43630234acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2020-08-15更新
|
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4卷引用:天津市静海区第一中学2020-2021学年高二上学期期末数学试题
天津市静海区第一中学2020-2021学年高二上学期期末数学试题福建省厦门市2019-2020学年高一下学期期末考试数学试题(已下线)专题7.2 等差数列及其前n项和(精练)-2021年新高考数学一轮复习学与练广东省汕头市澄海中学2020-2021学年高二下学期第二次月考数学试题