已知等差数列
的前
项和为
,
,
.
(1)求数列
的通项公式
;
(2)求
的最大值.
![](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/b227fab760d5fa2d25642d7e3470dc38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56275296a2092cea5a60d52e9fe00c00.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
22-23高二下·安徽亳州·期中 查看更多[4]
安徽省亳州市第二完全中学2022-2023学年高二下学期期中教学质量检测数学试题(特培班)山西省大同市第二中学校2024届高三上学期九月月考数学试题福建省三明地区部分高中校协作2023-2024学年高二上学期期中联考数学试题(已下线)第03讲 4.2.2等差数列的前 项和公式(1)
更新时间:2023-06-12 13:46:15
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解答题-问答题
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适中
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【推荐1】已知数列
满足
,且
,等比数列
中,
.
(1)证明:数列
为等差数列,并求数列
的通项公式
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa01f03fb074bff35b35e07047d11b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd8f941f371b1aa0334febeeed23ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86875ba29bd1eed1d5e36abe73564481.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7706e0dba93c9f25c28bc8b01de44b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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【推荐2】已知数列
为等差数列,且
.
(1)求
;
(2)若
,数列
的前
项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c133f850a40f4d23c30fa91a1e7d74a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbcb26addf21a599766e97121544f1d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64cebdb4c3e6d38246b303b09ffe2bfd.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/94351ce858fa3f3a09cfadc2d23d7253.png)
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解答题-问答题
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解题方法
【推荐1】将30面旗沿一条直路的一边每隔
插一面,排成一排,依次编号为1,2,3,…,
,…,30.现在第
号处有1人,从该处出发他每次取一面旗放到第
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号旗处,总共要走多少路?他选择从第几号旗处出发,才能使所走的路最少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585c0b361a3e508f3dbb27a40b2dad5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解答题-问答题
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解题方法
【推荐2】已知等差数列
的前
项和为
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d74f22ba8dc74a64db569f43c2b746.png)
(1)求数列
的通项公式;
(2)当
为何值时,
最大,最大值为多少?
![](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/af7677c1efe3506d128c1046ee1b4199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d74f22ba8dc74a64db569f43c2b746.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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