1 . 数列
中,
.
(1)求证:数列
是等差数列;
(2)若
,都有
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a918011b01d617a8cc90cc353c84bc9d.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed5d4cb13b25787a125847474afae87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a63abf79ae4f45753069484ab7daf71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2 . 在①
是
与
的等差中项;②
是
与
的等比中项;③数列
的前5项和为65这三个条件中任选一个,补充在横线中,并解答下面的问题.
已知
是公差为2的等差数列,其前
项和为
,________________________.
(1)求
;
(2)设
,是否存在
,使得
?若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc29ee719feeedfbc8c529cf11348abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436b003ca2ebe125b127418b41785e3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e11a5b70e1e2e685d1783a4707872e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8194a62bc60a9da9b5cf76f9dc0fa09.png)
已知
![](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)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e4ea40fa7843df0595ccf6fec2d13f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad52924df9291d5d191d18e09374ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9890c496628750cec3e49f372c4806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-05-12更新
|
684次组卷
|
6卷引用:辽宁省大连市第八中学2020-2021学年高三上学期12月月考数学试题
辽宁省大连市第八中学2020-2021学年高三上学期12月月考数学试题2020届山东省枣庄市高三模拟考试(二调)数学试题(已下线)专题四 数列-2020山东模拟题分类汇编(已下线)新高考题型:开放性问题《数列》2021届高三高考必杀技之结构开放题专练(已下线)专题03 条件存在型【讲】(一)【通用版】
解题方法
3 . 已知数列
与
满足
.
(1)若
,求数列
的通项公式;
(2)若
且数列
为公比不为1的等比数列,求q的值,使数列
也是等比数列;
(3)若
且
,数列
有最大值M与最小值
,求
的取值范围.
![](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/9b8f8dcab63da921856bd415b9a80624.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c48095e6566841215424095800f01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36dfab3d1da98786344a73a58bfb6b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc25871476ed3944533b3c2d0adf324.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59d0c0e59eed9f4b8a51616b9978df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467f61f8d38c71fcb30f3f16d88650d7.png)
您最近一年使用:0次
2019-12-05更新
|
391次组卷
|
2卷引用:辽宁省大连市普兰店区海湾高级中学2019-2020学年高三上学期期中数学(文)试题
名校
4 . 已知递增等比数列
,
,且
,
,
成等差数列,设数列
的前
项和为
,点
在抛物线
上.
(1)求数列
,
的通项公式;
(2)设
,数列
的前
项和为
,若
恒成立,求实数
的取值范围.
![](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/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b3175ab6772cd611f9c42771a9467d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ccc1f06e91cb72efe6141afabf986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
(1)求数列
![](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/25b67af73f586837594ab0db4b89baed.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8ee176dd08e4b73f64a7cd0cabacbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-10-30更新
|
903次组卷
|
6卷引用:辽宁省大连市庄河市高级中学2019-2020学年高二上学期期中数学试题
辽宁省大连市庄河市高级中学2019-2020学年高二上学期期中数学试题河南省顶级名校2019-2020学年高二上学期10月阶段性检测数学(理)试题河南省顶级名校2019-2020学年高二上学期10月阶段性检测数学(文)试题湖北省随州市第一中学2019-2020学年高二上学期期中数学试题上海市虹口区2021-2022学年高二下学期期末在线测试数学试题(已下线)4.3数列的概念与性质(第1课时)(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高二数学精品教学课件(沪教版2020选择性必修第一册)
名校
解题方法
5 . 已知数列
中,a1=1,其前n项和为
,且满足
.
(1)求数列
的通项公式;
(2)记
,若数列
为递增数列,求λ的取值范围.
![](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/3a1e1169719d1be83755b8f7a1abb71b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040023578b4d06ef19356208d014fdf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
2020-04-17更新
|
1722次组卷
|
10卷引用:辽宁省大连市第八中学2022届高三下学期考前最后一次模拟数学试题
辽宁省大连市第八中学2022届高三下学期考前最后一次模拟数学试题2017届河南省洛阳市高三第二次统一考试(3月)数学(理)试卷河北省武邑中学2017届高三下学期一模考试数学(理)试题江苏省南通市启东中学2018-2019学年高一(创新班)上学期期中数学试题2018届内蒙古鄂尔多斯市第一中学高三下学期第四次模拟数学(理)试题2020届江西省南昌市江西师范大学附属中学高三第一次模拟测试卷理科数学人教A版(2019) 选修第二册 突围者 第四章 第一节 数列的概念河南省鹤壁市高中2022-2023学年高二上学期11月居家测试(一)数学试题安徽省滁州市定远县育才学校2021-2022学年高二分层班下学期第二次月考数学试题安徽省滁州市定远县育才学校2021-2022学年高二下学期第一次月考数学试题