1 . 已知数列
的前
项和为
,前
项积为
,满足
.
(1)求
,
和
;
(2)证明:
.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d463d63d86152798519b67e9e20114.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2d87f905b3669b5c7b6fd076896a24.png)
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2024-03-06更新
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415次组卷
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2卷引用:安徽省五市2023-2024学年高二上学期期末考试数学试题
2 . 正项数列
的前n项和为
,
,则
( )其中
表示不超过x的最大整数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/900f88d57c8799d3694a7ce6c1ccfcf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c65da53813e3fa71bac506068882813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fab6009ffb15a88bd843a1c2b8d7770.png)
A.18 | B.17 | C.19 | D.20 |
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2022-04-08更新
|
996次组卷
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5卷引用:四川省宜宾市第四中学校2023-2024学年高二上学期期末数学试题
四川省宜宾市第四中学校2023-2024学年高二上学期期末数学试题(已下线)4.1 等差数列(第1课时)(十大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)【讲】专题2 构造数列问题新疆石河子市第一中学2022届高三3月第一周模拟数学(理)试题(已下线)专题06 数列在高考中的考法(难点,十一大题型+过关检测专训)-2023-2024学年高二数学《重难点题型·高分突破》(人教A版2019选择性必修第二册)
名校
解题方法
3 . 已知数列
满足
,
.
(1)证明:数列
是等差数列;
(2)令
,证明:
.
![](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/d11efb0e1d2f82c982352dbbc2709745.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a64d86bd0b4602578d910322adc1b.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb31ad465abf5cc78e69d6b1a98885a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f91a3c986a48814f7f982eca9453f08c.png)
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2021-06-07更新
|
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7卷引用:陕西省西安市铁一中学2024届高三上学期期末数学(理)试题
陕西省西安市铁一中学2024届高三上学期期末数学(理)试题贵州省贵阳市清华中学2023-2024学年高二下学期4月月考数学试题福建省厦门市2021届高三5月二模数学(A卷)试题(已下线)专题28 证明不等式的常见技巧-学会解题之高三数学万能解题模板【2022版】(已下线)专题16 数列放缩证明不等式必刷100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)辽宁省沈阳市第二十中学2023-2024学年高三上学期三模考试数学试题重庆市永川双石中学校2024届高三上学期半期考试(期中)数学试题
名校
解题方法
4 . 设数列
的前
项和为
,满足
,且
,数列
满足,对任意的
,且
成等比数列,其中
.
(1)求数列
的通项公式
(2)记
,证明:当
且
时,
![](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/2c6d78ff6d5d374252b5ac4ccb0e9bcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32a4fe29cf698f3426919ca819c1f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b25fb265254686be436642cadd86e3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f36705f885c15c3bc96712630f72b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2f78accc88d2d793d15de53e3b9a8e5.png)
您最近一年使用:0次
2020-03-16更新
|
466次组卷
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2卷引用:江苏省常州市第一中学2023-2024学年高二上学期期末质量调研数学试题