名校
1 . 设数列
的前
项和为
.已知
.
(1)求证:数列
为等差数列,并求出其通项公式;
(2)设
,又
对一切
恒成立,求实数
的取值范围;
(3)已知
为正整数且
,数列
共有
项,设
,又
,求
的所有可取值.
![](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/534de09e80dba6dbfffea53bdb74649f.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebb517e8e8a582aeb9c17eab852a630a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f13e7c0b421f704dc0e6fad0c5a215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c972cbd63decec197aec1bdc306de67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5631bc01b998a4b3fabd9e131699dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/effd163f8b1a235eb67227956e3652e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f1512cee17305b8936f6c61b0a22b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2 . 已知函数
(其中
是实数).
(1)若
,求曲线
在
处的切线方程;
(2)求函数
的单调区间;
(3)设
,若函数
的两个极值点
恰为函数
的两个零点,且
的范围是
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9945bdbc97f5b9d8c3badbed22542052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c66ff64cb142ecf8a6ec4eecfe4165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dae74c724114bfeff024dd7b79f5edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393a61c6a6dfd44895813444fe6b69e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c324eafb19f5275ad4ee018b7621a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-12-09更新
|
1890次组卷
|
6卷引用:天津市滨海新区2020届高三居家专题讲座学习反馈检测数学试题(B卷)
天津市滨海新区2020届高三居家专题讲座学习反馈检测数学试题(B卷)(已下线)专题05 导数与函数的零点问题 第一篇 热点、难点突破篇(练)- 2021年高考二轮复习讲练测(浙江专用)天津市河西区2021届高三下学期总复习质量调查(一)数学试题苏教版(2019) 选修第一册 一蹴而就 第5章 单元整合天津市第十四中学2022-2023学年高三上学期期末数学试题安徽省滁州市定远县育才学校2023届高三下学期开学考试数学试题
名校
解题方法
3 . 设正项数列
的前
项和为
,对任意
都有
成立.
(1)求数列
的前
项和
;
(2)记数列
,其前
项和为
.
①若数列
的最小值为
,求实数
的取值范围;
②若数列
中任意的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”.试问:是否存在这样的“封闭数列”
,使得对任意
,都有
,且
.若存在,求实数
的所有取值;若不存在,请说明理由.
![](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/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e3fada69fbdbf095b43d1367df81bb.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32140a15a776309b442eb84ca9383ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
①若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eded65284816fdf6bf335b0c2a78e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b647ac8a8174071a4f332a00b5507b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
②若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113991390704e023f257ae0940f17765.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8569da8611abcc62075e1e1141def469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
,
.
(1)若
在
恒成立,求
的取值范围;
(2)若
有两个极值点
,
,求a的范围并证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c445de35c98b0dc933c61cb37c653d55.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be2a67fd62d86e96550058e2d888fd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1215d01764a3b041d2f4497806da95d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac4134df42987a1cbdc9b1ff1d1a83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2b796bf1498dd33af327ba1d5aa4ad.png)
您最近一年使用:0次
2018-03-21更新
|
716次组卷
|
4卷引用:四川省成都市石室中学高2018届高三下期二诊模拟考试数学文试卷
2018高三·江苏·专题练习
名校
5 . 已知函数
,若关于
的不等式
的解集为
,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6da610c33fe5c546beeeacd65f683c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1d6825007740f7398715c4af2f3f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3cf7a24b86b9363580bd382160ad31e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2018-01-08更新
|
558次组卷
|
6卷引用:黄金30题系列 高三年级数学江苏版 小题好拿分【提升版】
(已下线)黄金30题系列 高三年级数学江苏版 小题好拿分【提升版】(已下线)专题03 导数、函数的综合应用-《巅峰冲刺2020年高考之二轮专项提升》(江苏)四川省成都市第七中学2021-2022学年高三上学期入学考试理科数学试题安徽师范大学附属中学2021-2022学年高三上学期入学考试理科数学试题江西省宜春市铜鼓中学2021-2022学年高二下学期第一次月考非实验班数学(理)试题四川省成都市第七中学2021-2022学年高三上学期入学考试理科数学试题