1 . 已知数列
各项均为负数,其前
项和
满足
,则( )
![](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/571b530006e550049ad5fe56b804d27b.png)
A.数列![]() ![]() ![]() | B.数列![]() |
C.数列![]() | D.数列![]() ![]() |
您最近一年使用:0次
2024-02-23更新
|
164次组卷
|
2卷引用:广西钦州市2023-2024学年高二下学期期中考试数学试卷
名校
解题方法
2 . 设数列
满足:
,
,且
,
对
成立.
(1)证明:
是等比数列;
(2)求
和
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4995fa0403e013d888c0935ebfe15024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f19b54e86e33dff4bffda330809a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee20dd197233a0b2399cbd8eb75c861a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5344eadd4711db34e3f935aedd5fb270.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
2024-02-19更新
|
279次组卷
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3卷引用:四川省凉山州安宁河联盟2023-2024学年高二下学期期中联考数学试题
四川省凉山州安宁河联盟2023-2024学年高二下学期期中联考数学试题2024年2月第二届“鱼塘杯”高考适应性练习数学试题(已下线)专题06 等差数列与等比数列(2)--高二期末考点大串讲(人教B版2019选择性必修第二册)
3 . 已知数列
满足
,
.
(1)证明:数列
是等比数列.
(2)设数列
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2815b24f5a89be7ae53aed93182e8988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0319a23f76640f380688949fae386a.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad801eb3687b2a97af6b218f818a3836.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a924c9d178ae3b5f81c59915ac3fd85.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
解题方法
4 .
为数列
的前
项和.已知
,
.
(1)证明
是等比数列,并求数列
的通项公式;
(2)数列
满足
,求数列
的前
项和
.
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612ca02f7ca42d8cbf9d8336d9f2300c.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d4ed61d770a4e82f3aaa6ce9c13903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50d6d518a78caad6a22173681996795e.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2023-12-25更新
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2845次组卷
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7卷引用:陕西省西安市西北工业大学附属中学2023-2024学年高二上学期期中质量检测数学试题
陕西省西安市西北工业大学附属中学2023-2024学年高二上学期期中质量检测数学试题河北省石家庄市第二中学2023-2024学年高二上学期期末第一次模拟考数学试题四川省宜宾市兴文第二中学校2023-2024学年高二上学期期末数学试题宁夏回族自治区银川市贺兰县第一中学2023-2024学年高二上学期期末复习数学试题(四)(已下线)第四章 数列章末综合达标卷-2023-2024学年新高二数学同步精讲精练宝典(人教A版2019选修第二、三册)青海省西宁市海湖中学2023-2024学年高二下学期开学考试数学试卷(已下线)2024届新高考数学原创卷6
5 . 已知数列
的前n项和为
,且
,
.
(1)求
;
(2)设
,求数列
的前n项和
.
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3998df04d0a8ded946c3f39d545fdc7e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0f044dc82a12fd1c71872f2ac12d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2023-12-20更新
|
869次组卷
|
2卷引用:广东省执信、深外、育才等学校2024届高三上学期12月联考数学试题
6 . 已知数列
的前
项和为
,且
.
(1)求证:
是等比数列;
(2)若
,数列
的前
项和为
,求证:
.
![](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/f790874e9817f155cafe055c1d3cda33.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb71e19320fc7ce0fd4f4af9b7c1f59.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6828a1cf75f19bb74a0e0490bd65c168.png)
您最近一年使用:0次
7 . 已知数列
满足
,
.
(1)证明:数列
是等比数列.
(2)设
,对于任意的
,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8793c93f8c068cf2af0d09bbc838b9.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cddea128c0b063232ca8351df3fc564.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5609d6407065a1c52498acc07f791013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79cf5dc6c9f79dc15ecfc7ec081ddc92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
8 . 已知数列
满足
,且
.
(1)证明:数列
为等比数列,并求出数列
的通项公式;
(2)若数列
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ed7dcbed114bb16db84b4b337bf9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7d94406136605c5bc9cd9295d6c9fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df727b57ef17cbe57e0554a09c46827.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
9 . 已知
是数列
的前
项和,
,则( )
![](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/470bbf879bff1a2bf4ea35746ff50ab8.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-11-29更新
|
639次组卷
|
3卷引用:河南省南阳市2023-2024学年高三上学期期中数学试题
10 . 已知数列
,满足
且点
在函数
的图像上,且
.
(1)证明:
是等比数列.并求
.
(2)令
,设
的前
项和
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a189f5f230b75af75eed2a5ff0f24b1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69b76612264b62b3e66947e71707ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88aef647186022d30b0e719126d6465.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d8f2f15adae9848373de1ab8c7bc7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e9c7610cbf2bda17bd7206969fb599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.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/105de1b20942840a12712c6795a05e1b.png)
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