名校
1 . 若数列
的前
项和
,
则满足
的
的最小值为________
![](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/75a310c548bfaf3a54140023277cf390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b69afd3ed400c0cfd339c4a5135ccad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2019-05-09更新
|
532次组卷
|
2卷引用:【区级联考】北京市海淀区2019届高三年级第二学期期末练习(二模)数学理科试题
名校
2 . 已知数列
的前
项和
,其中
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)若
(
)为等比数列
的前三项,求数列
的通项公式.
![](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/201c985aeb7a5c440bee38f1f8b8e460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/335112fe8b0738341b7622375af07415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b6d151d3f864bae873987f6db9327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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2019-04-13更新
|
648次组卷
|
2卷引用:【区级联考】北京市西城区2019届高三4月统一测试(一模)数学文试题
10-11高三上·北京东城·阶段练习
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3 . 在等比数列{an}中,an>0 (n∈N ),公比q∈(0,1),且a1a5+2a3a5+a2a8=25,又a3与a5的等比中项为2.
(1) 求数列{an}的通项公式;
(2) 设
,数列{bn}的前n项和为Sn,当
最大时,求n的值.
(1) 求数列{an}的通项公式;
(2) 设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96bac4acf64df3275efd013f163a4e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0fcb8a984cea26358e867ccea350a.png)
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2018-11-25更新
|
720次组卷
|
7卷引用:2010年北京东城区高三上学期理科数学综合练习(一)
(已下线)2010年北京东城区高三上学期理科数学综合练习(一)(已下线)2010年北京东城区高三上学期文科数学综合练习(一)【全国百强校】宁夏石嘴山市第三中学2018-2019学年高二上学期期中考试数学(文)试题四川省南充市高中2019-2020学年高三第一次高考适应性考试数学(理)试题四川省南充市高中2019-2020学年高三第一次高考适应性考试数学(文)试题四川省双流中学2019-2020学年高二下学期复学考试数学(理)试题(已下线)4.2 等差数列-2021-2022学年高二数学同步精品课堂讲+例+测(苏教版2019选择性必修第一册)
解题方法
4 . 已知数列
的前
项和为
,且
.
(1)求
的值;
(2)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/83745c258a8499f8d81716fc3af87709.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c14d9ae06f864498048d55088ff4e6.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd08f51cd847187141d2759083946ed.png)
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13-14高三·全国·课后作业
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5 . 定义:称
为n个正数p1,p2,…,pn的“均倒数”,若数列{an}的前n项的“均倒数”为
,则数列{an}的通项公式为an=_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed7720846d6a7b71965ee5e1e347513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6347c5d41a0ceb052eb8cacf8f9f8a77.png)
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2018-06-14更新
|
740次组卷
|
7卷引用:【全国百强校】北京101中学2017-2018学年下学期高一年级期中考试数学试题
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6 . 设数列
的前
项和为
,且
,在正项等比数列
中
,
.
(1)求
和
的通项公式;
(2)设
,求数列
的前
项和.
![](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/0a7f784a27defb8f2e3a17aa883e0bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012f1e5df0528c0f9a5754b7dc84424e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af3fff17b6f8d3d05752501b9ef03fb4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac07953530e3c248b3438fb200fb1661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2018-04-12更新
|
1490次组卷
|
7卷引用:【全国百强校】北京市101中学2019届高三10月数学(理)统练试题(5)
【全国百强校】北京市101中学2019届高三10月数学(理)统练试题(5)辽宁省大连市2018届高三第一次模拟数学理试题【全国百强校】湖南省长沙市长郡中学2019届高三下学期第六次月考数学(理)试题2020届山东省潍坊市高三上学期12月份月结学情数学试题(已下线)2020年秋季高三数学开学摸底考试卷(新高考)05(已下线)专题20 数列综合问题的探究-2021年高考数学二轮优化提升专题训练(新高考地区专用)【学科网名师堂】江苏省苏州第一中学2020-2021学年高二上学期10月月考数学试题
名校
7 . 已知数列
的前
项和为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08a8c9baca410ef1464caf7f522aa4a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/8264412e897d269713bce1b9f7c3ecb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08a8c9baca410ef1464caf7f522aa4a.png)
您最近一年使用:0次
2018-03-20更新
|
641次组卷
|
2卷引用:北京市西城区156中2016-2017学年高一下学期期中考试数学(理)试题
名校
解题方法
8 . 已知数列
的前
项和
,且
,
,
成等比数列.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](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/710f6c21d506d7913c8d4c4a810b6748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e35eeaabd951fb09b2926807da3685b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1eb39f7bc8d2144f58a3343db98e8e7.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
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9 . 已知等差数列的首项为
,公差为
,等比数列
的首项为
,公比为
.
(1)若数列
![](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/1fd2e8102492a406e7c1c6ce98811943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f0d538cab3daae7d590482989f2a35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1884d644db1580455432911e4ae93f91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4d47325e7665366fb84a4628023693.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(ii)对于数列
![](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/1d4d4ac18e5954991552df9af61f437e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9b7a66d44be0a5473737debd31ef49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2018-01-24更新
|
665次组卷
|
2卷引用:北京市通州区2018届高三上学期期末考试数学理科试题
10 . 已知
是等差数列![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
的前
项和,且
,以下有四个命题:
①数列
中的最大项为
.
②数列
的公差
.
③
.
④
.
其中正确的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132e9579e58d8d5225e2340e1f43adf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69151b4b65af71e18fba995306e1a2d.png)
①数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce224c28ca451c4f105dc3b077736cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3cf6f2bbe20a404fea41a4d2b1c4c7.png)
②数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8bbb4a09e0ac86bbae46222a90841.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a3c8563a35dbb87949e1f914f839e7.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486cddc710aec81c76b5b395446eaa00.png)
其中正确的序号是( )
A.②③ | B.②③④ |
C.②④ | D.①③④ |
您最近一年使用:0次