1 . 已知函数
的图象过点
和
.
(1)求函数
的解析式;
(2)记
,
是正整数,
是数列
的前
项和,解关于
的不等式
;
(3)对于(2)中的
,
,整数35是否为数列
中的项?若是求出相应的项数;若不是则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2042d7826dd3bd564bb45c890d54471e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22239b64da889bde7b92a94743869239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49a31f8e8dba418bd5d886998ef8d17.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d5c2b25051d70362949f4bcbc379fca.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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcccef9904b053abcf0174b2b9aad807.png)
(3)对于(2)中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843258347f85ab71ddf22d4437bbcfa3.png)
您最近一年使用:0次
名校
2 . 已知数列
满足
,且
,数列
满足
,且
,(
).
(1)求证:数列
是等差数列,并求通项
;
(2)解关于
的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588e4f939835eeb5feefdb5d37c921e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debb8f9f0353c63c9267e02a22181df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a44cfbb86a4eb76261c00ddc6bff181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6616e86045b2d34207492dd69ecf32.png)
您最近一年使用:0次
2020-11-19更新
|
375次组卷
|
4卷引用:江苏省盐城市一中、射阳中学等五校2020-2021学年高二上学期期中联考数学试题
真题
解题方法
3 . 已知函数
的图像过点
和
.
(1)求函数
的解析式;
(2)记
是正整数,
是
的前n项和,解关于n的不等式
;
(3)对于(2)中的数列
,整数
是否为
中的项?若是,则求出相应的项;若不是,则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c38ae07d077b9c1d50e04955c1b4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924507a7b11e6ac2ba1af522ed0dad4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/670f050f37e6c929cba66bd41c3de4d3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef31bf6b0ee9cf0c89a4fe11651335b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/730c820c51e9934573a4470551f53c25.png)
(3)对于(2)中的数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aff7165ba134cc3d70280c033acdd19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843258347f85ab71ddf22d4437bbcfa3.png)
您最近一年使用:0次
2020-06-26更新
|
641次组卷
|
6卷引用:沪教版(上海) 高二第一学期 新高考辅导与训练 第7章 数列与数学归纳法 7.3(3)等比数列的求和公式
沪教版(上海) 高二第一学期 新高考辅导与训练 第7章 数列与数学归纳法 7.3(3)等比数列的求和公式(已下线)2.3+等差数列的前n项和(2)(重点练)-2020-2021学年高二数学十分钟同步课堂专练(人教A版必修5)(已下线)4.2.2 等差数列的前n项和(2)(重点练)-2020-2021学年高二数学十分钟同步课堂专练(人教A版选择性必修第二册) 2002年普通高等学校招生考试数学(理)试题(上海卷)(已下线)专题1 数列的单调性 微点9 数列单调性的判断方法(九)——数列单调性的应用(已下线)专题03 条件存在型【练】【北京版】
名校
解题方法
4 . 已知数列
满足
.
(1)求
的通项公式;
(2)设
为数列
的前
项和,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e80342d3f022ba87c2387c108b89ead.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a379f33f9af7a762d714c1c710945fc9.png)
您最近一年使用:0次
2018-08-30更新
|
1398次组卷
|
2卷引用:安徽省滁州市定远县民族中学2021-2022学年高二下学期3月月考数学试题
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0107e12161fe0c1babfdd8c0e7f1e0.png)
(1)若
,求函数的严格减区间
(2)若方程
在实数集上有四个解,求实数
的取值范围
(3)若
,数列
满足
.是否存在
使得数列
严格递减?存在的话.求出所有这样的
;不存在的话.说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0107e12161fe0c1babfdd8c0e7f1e0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a66c850c6a5eb9d6c75ab789b86155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af6e53a421800b8e8a7b8882503d5bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91adba8efbf964e9e35547b0fd0ea36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
您最近一年使用:0次