1 . 已知等差数列
中,
,
.
(1)求数列
的通项公式:
(2)求数列
前n项和
的最大值,并求解此时的n为何值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c7266d90661cf4467f13c6f5eb670c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad60898990705235548eabfb8b0e4c5.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2023·全国·模拟预测
名校
解题方法
2 . 已知数列
的前n项和为
,数列
的前n项和为
,且满足
,
.
(1)求数列
的前n项和
;
(2)若
,且存在
,使得
成立,求实数
的取值范围.
![](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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac4d804632970bc3e956604f0076919.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15526f7c892333030073b85fc3baee6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb79943b49697181bda64d5f9e35c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf8c7729c80bb4ccf9e2b89781f95ae.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
3 . 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
解题方法
4 . 已知数列
的前n项和为
,且
,
,
为等差数列;数列
满足
,
.
(1)求数列
的前n项和
;
(2)若对于
,总有
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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.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/55a8d7ec3afb812286ad33dd69d80c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d26750bec2579005dc35313767ec68d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(2)若对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12d0bd9afdd4e53ff37f5bfcaa1106c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33174d336af6648b9303c49858937b41.png)
您最近一年使用:0次
2022-01-23更新
|
966次组卷
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4卷引用:宁夏回族自治区石嘴山市第三中学2023-2024学年高三上学期期末考试理科数学试题
宁夏回族自治区石嘴山市第三中学2023-2024学年高三上学期期末考试理科数学试题山东省青岛市莱西市2021-2022学年高三上学期期末数学试题(已下线)第17节 等比数列及前n项和(已下线)专题05 数列 第三讲 数列与不等关系(分层练)
名校
5 . 在等差数列
中,已知
.
(I)求数列
的通项公式
;
(II)记
为数列
的前
项和,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee49f87f4992ea628f2af44e3aade1f.png)
(I)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(II)记
![](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/1033e64a509e56aa51174e145a026671.png)
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2019-04-01更新
|
1953次组卷
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5卷引用:2020届宁夏六盘山高级中学高三第三次模拟考试数学(文)试题
2020届宁夏六盘山高级中学高三第三次模拟考试数学(文)试题贵州省凯里市第一中学2019届高三下学期模拟考试《黄金卷二》数学(文)试题【全国百强校】贵州省凯里市第一中学2019届高三下学期模拟考试《黄金卷二》理科数学试题(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(已下线)数学-6月大数据精选模拟卷02(山东卷)(满分冲刺篇)
6 . 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
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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