名校
解题方法
1 . 设数列
满足
.
(Ⅰ)求
;
(Ⅱ)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/16016fad946b78f45152db45b6adebc4.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51e4a7f958501fae39645ca8f2a2d73.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/94bbce490db884e0198bc28f4766eb1b.png)
您最近一年使用:0次
2016-12-03更新
|
671次组卷
|
2卷引用:2014-2015学年浙江省嵊州市高二下期末检测理科数学A卷
2 . 设数列
的前n项和为
,且
(I)求数列
的通项公式;
(II)设数列
满足:
,又
,且数列
的前n项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131719ddba3ab35953e148446e55dec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
(II)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a490e67bae7523aee5b2e0f146dd021d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ba2c99558635469e0520fd5993b317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c522c1c881528ab6f9708f6bdd4c4db5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9f7951a6feb69a5867fe71a0a68a48.png)
您最近一年使用:0次
11-12高三上·浙江嘉兴·阶段练习
3 . 已知f(x)
,点
在曲线y=f(x)上且a1=1,an>0(n∈N*).
(1)求证:数列{
}为等差数列,并求数列{an}的通项公式;
(2)设数列{an2•an+12}的前n项和为Sn,若对于任意的n∈N*,存在正整数t,使得Sn<t2﹣t
恒成立,求最小正整数t的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7981d474e6677e4358ac9c4de51ee1b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2111089e2a3cbe366f5d9962844100aa.png)
(1)求证:数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458e5e17f9e65a770b00eabfeb85619a.png)
(2)设数列{an2•an+12}的前n项和为Sn,若对于任意的n∈N*,存在正整数t,使得Sn<t2﹣t
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5743a3bf50e8146f519a7b4f32a958b5.png)
您最近一年使用:0次
4 . 设数列
的前
项和为
.已知
,
,
.
(Ⅰ) 求
的值;
(Ⅱ) 求数列
的通项公式;
(Ⅲ) 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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c7fb73589e0c281a28f6986ced7f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726666f99a5a41dd673a2330e377b17.png)
(Ⅰ) 求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
(Ⅱ) 求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(Ⅲ) 证明:对一切正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55507f6c61da06d1b5dbe8cdf8df64a4.png)
您最近一年使用:0次
2016-12-02更新
|
4095次组卷
|
7卷引用:浙江省金华市曙光学校2019-2020学年高三下学期返校测试数学试题
浙江省金华市曙光学校2019-2020学年高三下学期返校测试数学试题2013年全国普通高等学校招生统一考试理科数学(广东卷)(已下线)2014年高考数学(理)二轮专题复习知能提升演练1-4-2练习卷(已下线)2014届高考数学总复习考点引领+技巧点拨第五章第6课时练习卷(已下线)2014届高考数学总复习考点引领+技巧点拨第七章第3课时练习卷2015-2016学年福建省晨曦等四校高二上学期期末考试理科数学试卷人教版高三数学总复习同步测试:必修5综合检测(二)
5 . 已知数列
的前
项和为
,且
.
(1)求
的通项公式;
(2)设
,
,若
,
恒成立,求实数
的取值范围;
(3)设
,
,
是数列
的前
项和,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/c05d42f5ed62fffd66dd959561f8a46e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df65c6013471c819845fa82195a55487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288a18c9690c22a70c25c0777e26ae82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8030ef669e7078a7246073a939f5d6bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd49ea409613ecb592074e0329880e4.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/3b25d3a90257358308385a7c3c03db1a.png)
您最近一年使用:0次
2016-12-03更新
|
2550次组卷
|
3卷引用:2014-2015学年浙江省温州中学高一下学期期中考试数学试卷
解题方法
6 . 各项为正数的数列
的前n项和为
,且满足:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db67e64b5df00330fa9c25bff8ff8b2.png)
(1)求
;
(2)设数列{
}的前n项和为
,证明:对一切正整数n,都有
.
![](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/9db67e64b5df00330fa9c25bff8ff8b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf3bc5b0812e912b4d4810849e08de7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0d96f66526ecb7b8546604e2c45c40.png)
您最近一年使用:0次