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1 . 已知等差数列
的前
项和为
,若
,
,
,则下列结论正确的有( )
![](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/d3556163cd2ddf842297d96cae6a0cd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe2af38ebb97f04a45f60f13d0b4bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3445a2e680c622ad84fdb299c75a32.png)
A.![]() | B.![]() |
C.![]() | D.使![]() ![]() |
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2卷引用:重庆市西南大学附属中学校2023-2024学年高二上学期期末考试数学试题
2 . 已知数列
满足
,且
,数列
满足
,且
,则
的最小值为( )
![](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/be29d8f996c54183663d8a954166dc16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d97cd8b6f9992d4bc11582a647ebdf65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dbf484dbb1a926bbc3b47fd8e2daaf0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6卷引用:重庆市西南大学附属中学校2023-2024学年高二上学期期末考试数学试题
重庆市西南大学附属中学校2023-2024学年高二上学期期末考试数学试题吉林省四平市第一高级中学2023-2024学年高二下学期第一次月考数学试题黑龙江省大庆市大庆中学2023-2024学年高二下学期4月月考数学试题河南省郑州市宇华实验学校2023-2024学年高二下学期4月期中考试数学试题(已下线)专题01求数列通项公式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(北师大版2019选择性必修第二册)(已下线)专题03数列期末7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选择性必修第三册)
名校
解题方法
3 . 已知数列
的各项都是正数,
为
的前
项和,且对任意
都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b68ee656a8061c5a627bb7d8d722b6.png)
(1)求数列
的通项公式;
(2)若
,
,证明:
中有且仅有一项在
中.
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b68ee656a8061c5a627bb7d8d722b6.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf08b677b992d23f0d8cf7fd97afbd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac2c132edd7fc16060846e93e2bf81e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
您最近一年使用:0次
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4 . 我们把直线
叫做椭圆
的上准线.已知一列椭圆
的上、下焦点分别是
,若椭圆
上有一点
,使得
到上准线
的距离
是
与
的等差中项,
(1)当
取最大值时,求椭圆
的离心率;
(2)取
,并用
表示
的面积,请探索数列
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b328e68bba08366dc213e67d9a54f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb223b8777ab973970491bf0dcc6806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17950d83a4ed7149eb127cc43b7b6e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413feb44d12055f706a368f2bbf1f63e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc31dcdb99754fc452ff2b92a2fb8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7c5e7bd6bac51402ffa04b4144ec78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e260b088f071983f254ce8f5163fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2d8758c0c03c8b02c17d1820705182c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3daa7cb80751a3205e67ebf16218886.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc31dcdb99754fc452ff2b92a2fb8c9.png)
(2)取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b950f01934279f704fae817976d19b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff06044e6d8c51fd92126e9634bcc255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
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解题方法
5 . 已知数列
的通项公式为
,且
为递减数列,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284391ccb52b25ecd5cf18d0079decac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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|
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重庆市第八中学校2023-2024学年高二上学期第二次月考数学试题湖北省仙桃市田家炳实验高级中学2023-2024学年高二上学期期中数学试题广东省梅州市梅雁中学2023-2024学年高二上学期12月月考数学试题(已下线)4.1 数列的概念(8大题型)精练-2023-2024学年高二数学题型分类归纳讲与练(人教A版选择性必修第二册)(已下线)第四章:数列章末综合检测卷-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第二册)四川省南充市阆中中学校2024届高三一模数学(文)试题(已下线)专题04 数列的概念与等差数列(3)
名校
6 . 已知
满足对一切正整数
均有
且
恒成立,则实数
的范围是( )
![](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/d1254070260067f8bf2fec39a7d0c8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284391ccb52b25ecd5cf18d0079decac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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重庆市第八中学校2023-2024学年度高二上学期检测六数学试题(已下线)4.1 数列的概念(分层练习)-2023-2024学年高二数学同步精品课堂(人教A版2019选择性必修第二册)(已下线)专题15 数列10种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(苏教版2019选择性必修第一册)(已下线)第4.1.1讲 数列的概念与表示-2023-2024学年新高二数学同步精讲精练宝典(人教A版2019选修第二、三册)
7 . 在数学中,
.已知数列
满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07dccbc95164b4318b6aaf55b8feff41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212d2203d7634d2bf7f85d791cc21e34.png)
A.数列![]() | B.![]() |
C.![]() | D.![]() |
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8 . 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 |
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名校
解题方法
9 . 已知数列
各项均为正数,
为数列
的前n项和,且
是公差为
的等差数列,
,下列命题正确的是( )
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832fd7a51831135b6ee6a01981db250e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bf231326e799093a309bb83ed6eab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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3卷引用:重庆市第一中学校2023-2024学年高二上学期12月定时练习数学试题
10 . 已知数列
是等比数列,则下列结论:①数列
是等比数列;②若
,
,则
;③若数列
的前n项和
,则
;④若
,则数列
是递增数列;其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362832fa3d3c13c1eafd565349d66dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb334e165679c6cb500c994cffa47147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1633804d72236554a063e291d473758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab034c52723d0c57355408a6ef40e685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ed6c0834dd802b069f587558ec057d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df98d777481d5704afa790b2f2abbd7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29719d33af813b84dae0191ae5c92a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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