名校
1 . 已知数列
满足
,则数列
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dffa4d3fe9a83c7941a38a521149913a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2f22fd644a189c60f144a0900690e0.png)
您最近一年使用:0次
名校
2 . 设
为等差数列
的前
项和,其中
,且
.
(1)求常数
的值,并写出
的通项公式;
(2)记
,数列
的前
项和为
,若对任意的
,都有
,求常数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381576e698a46df8c497e6b5f8346ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9702210b6b8e952923000c7054d3e189.png)
(1)求常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4784813fdbc497211da75d35cc64448d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2448cf72af76b810310e4cfb9818e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb26cd1601fe7e76e1e2dc0b4909324a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/073a97c932092920a95114f4e3225b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa56f212749a82bb40d47e6250f99a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2018-06-01更新
|
1095次组卷
|
5卷引用:【全国百强校】广东省佛山市第一中学2017-2018学年高一下学期期中考试数学试题
【全国百强校】广东省佛山市第一中学2017-2018学年高一下学期期中考试数学试题2015届浙江省金华十校高三下学期高考模拟(4月)理科数学试卷2016届浙江省绍兴市一中高三9月回头考理科数学试卷浙江省杭州地区四校2018-2019学年高三上学期联考数学试题(已下线)第22讲 数列的单调性与最值问题-2022年新高考数学二轮专题突破精练
解题方法
3 . 已知数列
的前
项和为
,
且
,
且
,数列
满足
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f8778d6afb4790dcb0737a928bdb58.png)
且
.
(1)求
的通项公式;
(2)求证:数列
为等比数列;
(3)求
前
项和
的最小值.
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2438f2272d7b7ab51dbbe587025a553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aef7bc9235a260a9436a6f1a3a0116d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d6d999382aec4acb0ca4e87cc92955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65237e17f18c4511f409fd25ba44829d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c94f0ab0b2d0a012e23571f76ca202b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f8778d6afb4790dcb0737a928bdb58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d6d999382aec4acb0ca4e87cc92955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65237e17f18c4511f409fd25ba44829d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0112a2f039490f6f492f1a9d9ca5b2c3.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
4 . 已知数列
的通项公式是
,则这个数列是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b97049f60f54118e6218f842d7a3d0.png)
A.递增数列 | B.递减数列 | C.常数列 | D.摆动数列 |
您最近一年使用:0次
2014·山东日照·一模
名校
解题方法
5 . 已知数列
是首项为
,公比
的等比数列,设
,数列
满足
.
(1)求数列
前
项和
;
(2)若
对一切正整数
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2438f2272d7b7ab51dbbe587025a553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6821eb83c0e78f23cbf124d364ced75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a4a148f92caa09c3b6352fb4732c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c88a7ef007c78a93e33bd77c4396626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5542f3caf4a7e6689b12dba32cfba507.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c88a7ef007c78a93e33bd77c4396626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a12d1235dd00c597365407f6bebcbd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2016-12-02更新
|
2155次组卷
|
5卷引用:广东省汕头市金山中学2017-2018学年高一下学期期中数学试题
广东省汕头市金山中学2017-2018学年高一下学期期中数学试题2015-2016学年河北唐山一中高一下学期期末数学理试卷2015-2016学年河北唐山一中高一下学期期末数学文试卷(已下线)2014届山东省日照市高三3月第一次模拟考试理科数学试卷(已下线)考点21 数列求和问题-2021年新高考数学一轮复习考点扫描