1 . 若数列满足
,则称数列
为“平方递推数列”.已知数列
中,
,点
在函数
的图象上,其中n为正整数,
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdae11d8c18749ce9000613a4afbbb1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8abdfacf7440d4b455411998085dffe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf8e78a4251ded720142a89d83715e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92989b8324c75938a86a26b91a720804.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2023-05-01更新
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8卷引用:四川省成都市第四十九中学校2023-2024学年高二下学期3月月考数学试题
名校
解题方法
2 . 已知数列
满足
,且
(
且
),
(1)求证:数列
是等差数列;
(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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c38c49e3d4362f63656e89548f9825b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a470853f2349f240e509bc9ddc2de65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25cbe66fe4e84b4022721122baab4a3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0aeb4275c74a6615dde5bb9854b5a8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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2020-07-25更新
|
457次组卷
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2卷引用:四川省成都七中2019-2020学年高一下学期6月考试数学试题
3 . 已知数列
,
都是等差数列,
,
,设
,则数列
的前2018项和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f552707ec08bce9f61bf17bce865d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d3b280242ca0a9fff5111f2ae908b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eced722fb793770eac2cf98e7154ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
4 . 已知数列:
;
,
,
;
,
,…,
;…,
,
,
,…
;…,则此数列的前2036项之和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5337f3688eb5261c3d1c4682eea6db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57717fff0ecfa65745ab87175e4ef4fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51dd36cdc994842315cb6b33ba6e2110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9792c7803677e0a6a60d7b4b1d26419d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecabfaab794a6218e082092a1b057763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/922dab5a2938593bf50a3b580d568f18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f294032347d80dba06576e4f6c028f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b35159c34234ffee63bc7085b84ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/682ab5018df0aed155a64ac89fd98883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cbf3b2926a01e58de6d05d8bc949e21.png)
A.1024 | B.2048 | C.1018 | D.1022 |
您最近一年使用:0次
2019-03-25更新
|
1956次组卷
|
8卷引用:四川省成都市第十七中学2019-2020学年高一下学期期中数学试题
四川省成都市第十七中学2019-2020学年高一下学期期中数学试题安徽省六安市毛坦厂中学2019届高三3月月考理科数学试题内蒙古赤峰二中2018-2019学年高一下学期第一次月考数学(理)试题【市级联考】安徽省巢湖市2019届高三年级三月份联考数学(理科)试题(已下线)专题6.4 等差、等比数列与数列求和(练)【理】-《2020年高考一轮复习讲练测》2019届河南省郑州外国语学校高三全真模拟(三)数学(理)试题(已下线)专题19 数列求和-冲刺2020高考跳出题海之高三数学模拟试题精中选萃江苏省苏州市高新区第一中学2020-2021学年高二上学期期中数学试题
12-13高一下·四川成都·阶段练习
名校
5 . 已知数列
的通项公式为
,设其前n项和为
,则使
成立的自然数n
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4acfae9db9e2f0e7904e0614c53a553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572ad94be91581e4ab3c92ef4be8cadb.png)
A.有最小值63 | B.有最大值63 |
C.有最小值31 | D.有最大值31 |
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2020-02-28更新
|
373次组卷
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7卷引用:2012-2013学年四川成都七中实验学校高一3月月考数学试卷
名校
6 . 已知函数
(其中
)的图像经过点
,令
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4025d2798141ceb5489785638e6eb36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91f8e82e985f9c7bd22d79ebaa8a2a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a297d9b18487cde772be5c7d2676b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03193aaea57bc6f935f2c299ecc2a238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58e99e3c3a921cd712906b0a3b1091d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4025d2798141ceb5489785638e6eb36a.png)
A.2019 | B.![]() | C.6057 | D.![]() |
您最近一年使用:0次
2019-01-02更新
|
1591次组卷
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7卷引用:四川省都江堰中学2019-2020学年高一下学期期中数学试题
四川省都江堰中学2019-2020学年高一下学期期中数学试题【校级联考】江西省名校学术联盟2019届高三年级教学质量检测考试(二)(12月联考)数学(理)试题【校级联考】江西名校学术联盟2019届高三年级教学质量检测考试(二)数学(理)试题(已下线)专题6.4 等差、等比数列与数列求和(练)【理】-《2020年高考一轮复习讲练测》2020届河南省非凡联盟高三调研考试数学(理)试题(已下线)专题19 数列求和-冲刺2020高考跳出题海之高三数学模拟试题精中选萃(已下线)第七章 数列专练18—数列与三角函数的综合-2022届高三数学一轮复习
7 . 在数列
中,
,
,
,其中
.
(1)求证:数列
为等差数列;
(2)设
,
,数列
的前
项和为
,若当
且
为偶数时,
恒成立,求实数
的取值范围;
(3)设数列
的前
项的和为
,试求数列
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2bd6c75dc18d09097138c07bb7460c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645e6f25500f354180da1c59ef38776f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b5bd06b54773f3bb833f287138f2b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6625f546967ddeb9bd3cf53d4961341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.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/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ff55eb071b913fe152e4b34f69b200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)设数列
![](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/4f508a0e1671febf33213f796e780739.png)
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2017-11-21更新
|
531次组卷
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3卷引用:四川省成都嘉祥外国语学校2017届高三4月月考数学试题
四川省成都嘉祥外国语学校2017届高三4月月考数学试题江苏省常州市2018届高三上学期武进区高中数学期中试卷(理)(已下线)《2018届优等生百日闯关系列》【江苏版】专题二 第六关 以新定义数列为背景的解答题
8 . 设数列{an},若an+1=an+an+2(n∈N*),则称数列{an}为“凸数列”,已知数列{bn}为“凸数列”,且b1=2,b2=-1,其前n项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa565ac154f0278af8c7c89539e27f9.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3903653955c424d3f6135edc5b47e231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa565ac154f0278af8c7c89539e27f9.png)
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9 . 已知数列
的前
项和为
,
(
),且
,
.
(1)求
的值,并证明
的等比数列;
(2)设
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/ddfaeef36fc613eb9f1086876da73b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0519af3f19dde038fab2e68b5e2a5387.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e70c1a9d9b6c344f2395c5cc24ca350a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e5408daf8c4918e8baf4f4cfd0a4cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2017-02-08更新
|
2309次组卷
|
5卷引用:2017届四川双流中学高三文必得分训练10数学试卷
2017届四川双流中学高三文必得分训练10数学试卷北师大版(2019) 选修第二册 名师精选 专题一 数列 A卷人教B版(2019) 选修第三册 名师精选 第五章 数列 A卷(已下线)卷11 数列章节测试 A卷 ·基础达标 -【重难点突破】2021-2022学年高二数学名校好题汇编同步测试卷(人教A版选择性必修第二册)2023版 苏教版(2019) 选修第一册 名师精选卷 第四章 数列
10-11高一下·四川成都·期末
10 . 已知数列
中,
,
,对任意
有
成立.
(I)若
是等比数列,求
的值;
(II)求数列
的通项公式;
(III)证明:
对任意
成立.
![](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/9652f65b28e2032c0cbc2a9649db4f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f10fc9e672c15eba65a4a4c4ac8cd2.png)
(I)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f12c4c33bc0d6e6dbb7521bff1e85f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(II)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(III)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d630cc590a6e31fd3633f543677b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
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