1 . (1)当
时,求证:
;
(2)求
的单调区间;
(3)设数列
的通项
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94bb6a0900e17575aebec2172b1d74c3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54f47f8f82b289466ddaaffc29de5bad.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02dc91019b703d641bb2be85921c4e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c0aa434c171c539d2e56cabcfea5f6.png)
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解题方法
2 . 已知数列
中,
,
(
,
),数列
满足
.
(1)证明
是等差数列,并求
的通项公式;
(2)求
;
(3)求数列
中的最大项和最小项,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dadd084750fc19f78fd250171583c666.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b039543372ce127c7b85782a118f0f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6283552cf65bdabe33fae786fc91965.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fa6037902aee7d6ce40d0ad4b588ac.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
名校
3 . 已知数列
满足
(
,且
),且
,设
,
,数列
满足
.
(1)求证:数列
是等比数列并求出数列
的通项公式;
(2)求数列
的前n项和
;
(3)对于任意
,
,
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ec795c016151d50ced08795e8f2186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc97237d3006f403edcd153ed34569fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa5ff2506a5d01502f07c80f024fc8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/400f2d28274786ddcef7d91466a77005.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187ee1ea3b7e47a6283314322e5decf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd692d57128f3344f19e472f094d7566.png)
您最近一年使用:0次
2019-07-16更新
|
894次组卷
|
3卷引用:宁夏银川市一中2018-2019学年高一下学期期末数学试题
名校
4 . 已知数列
,
,
,且满足
(
且
)
(1)求证:
为等差数列;
(2)令
,设数列
的前
项和为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7def23f30138e0b7c4c1e498d6903a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c04fcc4dff0b1525e840f4d517231c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c65a855b1eed9c43e6829f6c3bffb.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785f3f8e3c793a7325d80a02ccb68b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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/4f508a0e1671febf33213f796e780739.png)
您最近一年使用:0次
2018-12-07更新
|
1309次组卷
|
4卷引用:【全国百强校】宁夏银川一中2019届高三第四次月考数学(理)试题
【全国百强校】宁夏银川一中2019届高三第四次月考数学(理)试题【校级联考】浙江省金丽衢十二校2019届高三第一次联考数学试题2019年浙江省新高考仿真演练卷(二)(已下线)专题06 数列中的最值问题(第二篇)-备战2020年高考数学大题精做之解答题题型全覆盖
5 . 已知等比数列
是递增数列,![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/8518ab3db34242c2921470dc3810561a.png)
,数列
满足
,且
(
)
(1)证明:数列
是等差数列;
(2)若对任意
,不等式
总成立,求实数
的最大值.
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/e9acf453d20b44419b2376d1874de467.png)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/8518ab3db34242c2921470dc3810561a.png)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/370dc3d8b83c4ba3a17e5be47d047362.png)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/a079cf51564044a1897c6b788f33c01a.png)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/2e352dcfde00498485e5cf2b6c19e0e2.png)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/b68fd6dce7ee4aceba86ac8bf374fdc1.png)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/a5e445f8dc76427cb12d1e3186357bba.png)
(1)证明:数列
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/10a009c70d084049b471e0abe4add88a.png)
(2)若对任意
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/a5e445f8dc76427cb12d1e3186357bba.png)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/e81d30b3f92d43a88672ab43223d1351.png)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273900298240/1572273906180096/STEM/0552addd6f4b45b2920cb93f6dcb256a.png)
您最近一年使用:0次
2016-12-03更新
|
808次组卷
|
4卷引用:2016届宁夏银川市二中高三上学期统练二理科数学试卷1