名校
1 . 已知
是数列
的前
项和,对任意
,都有
;
(1)若
,求证:数列
是等差数列,并求此时数列
的通项公式;
(2)若
,求证:数列
是等比数列,并求此时数列
的通项公式;
(3)设
,若
,求实数
的取值范围.
![](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/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4faa5d8f3b8d5f59910ef3e885abe4fc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46db680bc60929939e0f09990c03583e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac5c639aa5cd63ab86b2b0d9a23c998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6788d3dbbd2d5f865db8d414375339e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ba3d72887756e8d222e0e3ae6aff5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75330ac9e51cdef4bc61012551e1d00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-12-08更新
|
764次组卷
|
3卷引用:上海市复旦大学附属中学2016届高三下学期5月月考数学试题
名校
2 . 等差数列
的前n项和为
,
,
,
对一切
恒成立,则
的取值范围为____ .
![](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/99ebeece107bf3b1ae267e068d3f42d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e4fef2ea80b0a9b4fe41dba80a4fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed60d996b544157e7e470167d20107eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2019-01-30更新
|
1937次组卷
|
7卷引用:河南省焦作市温县第一高级中学2021-2022学年高三上学期11月月考文科数学试题
河南省焦作市温县第一高级中学2021-2022学年高三上学期11月月考文科数学试题【校级联考】广东省华南师范大学附属中学、广东实验中学、广雅中学、深圳中学2019届高三上学期期末联考数学(文)试题【校级联考】广东省华附、省实、广雅、深中2019届高三上学期期末联考数学(文)试题安徽省部分省示范中学2018-2019学年高一下学期期中数学试题黑龙江省哈尔滨师范大学青冈实验中学校2019-2020学期高三上学期开学考试(8月)数学(文)试题(已下线)专题7.7 数列与数学归纳法单元测试卷(测)-2021年新高考数学一轮复习讲练测黑龙江省大庆中学2020-2021学年高三上学期期中考试数学(文)试题
9-10高三·上海·阶段练习
3 . 已知数列
中,
且点
在直线
上.
(1)求数列
的通项公式;
(2)若函数
,求函数
的最小值;
(3)设
表示数列
的前
项和.试问:是否存在关于
的整式
,使得
对于一切不小于
的自然数
恒成立? 若存在,写出
的解析式,并加以证明;若不存在,试说明理由.
![](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/6b47ecee651ae4b4ecf7a8a0bffd2535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e7d8fb05d18b61b51e70ff1abed7db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26251f92a46b07a3bfe81394b6e502d6.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2851cb9ffb602b4cec7ccd01e35dd95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c1a72253f12e053bb095752c0355cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2851cb9ffb602b4cec7ccd01e35dd95.png)
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