11-12高二上·广东广州·期中
1 . 已知数列
满足
,
.
(1)求证:数列
是等比数列;
(2)求数列
的通项公式和前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5e096a5c544c344edcc98183c5bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f572bc987c60ef6f1e93ea2f6f3463f5.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2016-12-03更新
|
1696次组卷
|
4卷引用:2011-2012年广东省广州市高二上学期期中考试理科数学
(已下线)2011-2012年广东省广州市高二上学期期中考试理科数学山东省泰安市宁阳一中2018-2019学年高二上学期期中考试数学试题宁夏银川市唐徕回民中学2017-2018学年高一下学期期中数学试题(已下线)2013-2014学年湖北省麻城二中高二上学期第一次月考理科数学试卷
13-14高一下·江苏扬州·期中
名校
2 . 设数列{an}的首项a1=
,前n项和为Sn,且满足2an+1+Sn=3(n∈N*),则满足
的所有n的和为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03e69d9671e993f78a1795091c92a22.png)
您最近一年使用:0次
2016-12-03更新
|
1759次组卷
|
6卷引用:2013-2014学年江苏省邗江中学(集团)高一下学期期中考试数学试卷
(已下线)2013-2014学年江苏省邗江中学(集团)高一下学期期中考试数学试卷上海市晋元高级中学2015-2016学年高二上学期期中数学试题(已下线)2015高考数学(理)一轮配套特训:5-4数列求和2018届高三数学训练题(83):推理与证明 江西省新余市第四中学2017-2018学年高二上学期期末数学(理)试题湖南省永州市祁阳县第四中学2024届高三上学期第三次段考数学试题
12-13高一下·河北石家庄·期中
3 . 已知
,点
在函数
的图像上,其中
.
(1)证明:数列
是等比数列;
(2)记
,求数列
的前项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44042d110ad8bf676c2785c2b1f9a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd598a11b876d858728161a7a09705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136eaf36d164bf5ac378a4401c25263b.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad75f8318b09f86fdd2af419e86ee291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2013·河北衡水·二模
4 . 已知
为锐角,且
,函数
,数列
的首项
,
.
(1)求函数
的表达式;(2)求数列
的前
项和
.
![](https://img.xkw.com/dksih/QBM/2014/4/23/1571642007306240/1571642013327360/STEM/451f0f5312da4ad3a954cd6a6dc7edb6.png)
![](https://img.xkw.com/dksih/QBM/2014/4/23/1571642007306240/1571642013327360/STEM/bcb01ae0be344e6f85e063ad4cafd802.png)
![](https://img.xkw.com/dksih/QBM/2014/4/23/1571642007306240/1571642013327360/STEM/21413d5e3e234aa2880979754c842f0f.png)
![](https://img.xkw.com/dksih/QBM/2014/4/23/1571642007306240/1571642013327360/STEM/eb5088212e414a3c9e1e561c6d66e0f8.png)
![](https://img.xkw.com/dksih/QBM/2014/4/23/1571642007306240/1571642013327360/STEM/9824652f8d284cc3b0eb1822d619d486.png)
![](https://img.xkw.com/dksih/QBM/2014/4/23/1571642007306240/1571642013327360/STEM/383eb6fb7b8d43da91017f16a778fad1.png)
(1)求函数
![](https://img.xkw.com/dksih/QBM/2014/4/23/1571642007306240/1571642013327360/STEM/8a827334d1af4b11917923d860c15391.png)
![](https://img.xkw.com/dksih/QBM/2014/4/23/1571642007306240/1571642013327360/STEM/eb5088212e414a3c9e1e561c6d66e0f8.png)
![](https://img.xkw.com/dksih/QBM/2014/4/23/1571642007306240/1571642013327360/STEM/6cfe8ec2a4df4dfa828264484da939ec.png)
![](https://img.xkw.com/dksih/QBM/2014/4/23/1571642007306240/1571642013327360/STEM/a82117f827254f1180f3f5ee2d3f2b3c.png)
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10-11高三上·甘肃天水·阶段练习
5 . 已知数列
满足
,
,
,
.
(1)令
,证明:
是等比数列;
(2)求
的通项公式.
![](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/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050c7672a4cfc741bb9c0fa136d130ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5653b60d16ec4e653518f0562680250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2017-07-24更新
|
575次组卷
|
7卷引用:天津市红桥区2018-2019学年高三上学期期中理科数学试题
天津市红桥区2018-2019学年高三上学期期中理科数学试题江苏省苏州市太仓市2019-2020学年高二上学期期中数学试题(已下线)2011届甘肃省天水市一中高三上学期第一阶段性考试文科数学卷(已下线)2011届西藏拉萨中学高三第六模拟考试数学文卷(已下线)2013-2014学年江苏省阜宁中学高一下学期第二次学情调研数学试卷内蒙古赤峰二中2016-2017学年高一下学期第二次月考数学(文)试题人教A版(2019) 选修第二册 数学奇书 第四章 数列 章末整合提升
12-13高三上·重庆江北·期中
名校
6 . 设数列
的前
项和为
,满足
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/741e264ca6b880bc633ff491e8e8bec6.png)
,且
,
,
成等差数列.
(1)求
,
的值;
(2)
是等比数列
(3)证明:对一切正整数
,有
.
![](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/28024f526ecf57042dd734ae1741e83c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/741e264ca6b880bc633ff491e8e8bec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52866a74e4af867ceea0efb1ad06602c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d5791e7e0bd54d6433c1a4e1fecb7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe61d313eeca8ba47478a9de40540db8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ae409648e7f81df297de60d7a756fb.png)
(3)证明:对一切正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545895a8043bbb2c1264bc0d04e1345f.png)
您最近一年使用:0次
10-11高二下·辽宁大连·期末
解题方法
7 . 已知数列
满足
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3e3e9245d5399195ba8ea65f03e39e.png)
(1)求
,
的值;
(2)证明数列
是等比数列,并求出数列
的通项公式;
(3)若数列
满足
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd5213f962d30402f2df6d81c8c61dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3e3e9245d5399195ba8ea65f03e39e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b097714adf88fa98325872034adbda65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a12d6ea0783ed769479229493aa12d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
11-12高一下·河北唐山·期中
名校
8 . 数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8529167c0137199b00c5270067a806.png)
(1)设
,求证
是等比数列;(2) 求数列
的通项公式;
(3)设
,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/5f8529167c0137199b00c5270067a806.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9118f8d60f5a8706ab4fd00b1b9104.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ef8539a7a09303a95b4e79fb9949fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c5f9dbd0bac1a171cba319b4f83684.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/4ff2fd8f9ab900ee8143345377d764f0.png)
您最近一年使用:0次
2016-12-01更新
|
1032次组卷
|
3卷引用:2011-2012学年河北省唐山一中高一下学期期中数学试卷
(已下线)2011-2012学年河北省唐山一中高一下学期期中数学试卷2014-2015学年河北省正定中学高一下学期期末考试数学试卷广东省中山市第一中学2019-2020学年高二上学期11月月考数学试题
11-12高二上·江苏宿迁·期中
解题方法
9 . 已知数列
的前
项和为
,
,且
(
为正整数)
(1)求出数列
的通项公式;
(2)若对任意正整数
,
恒成立,求实数
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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a555018a1b1ead0210e09fa7c11bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)求出数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若对任意正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2dd13737c1b2513e16043759d12d284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
11-12高一下·四川成都·期中
10 . 已知数列
满足
=1,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a99179ed60c3b36678e686bc4c206a.png)
记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9a9a877aed3c27cfc4820af25c0abe.png)
(Ⅰ)求
、
、
的值;
(Ⅱ) 求数列
的通项公式;
(Ⅲ)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a99179ed60c3b36678e686bc4c206a.png)
记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9a9a877aed3c27cfc4820af25c0abe.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57483e04fd1840c87ac5325157149877.png)
(Ⅱ) 求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(Ⅲ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次