名校
解题方法
1 . 已知等差数列
满足
,
为其前项和,若
,
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4927f5e4c0004453b4071074b543fa71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10599e638e83e2b43b08315a7ba93517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655c46b33730f3a29b9ec3024df71375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2 . 牛顿数列是牛顿利用曲线的切线和数列的极限探求函数
的零点时提出的,在航空航天领域中应用广泛.已知牛顿数列
的递推关系为:
是曲线
在点
处的切线在
轴上的截距,其中
.
(1)若
,并取
,则
的通项公式为__________ ;
(2)若取
,且
为单调递减的等比数列,则
可能为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3002f56900c2924bfd79fc3865b0a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/641fec779880f75fa8ee6782f3350402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a582927de6e549053dfec41d5f9008a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
(2)若取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6073fc52cd10164c1313dd96069b8d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0816dbd5a00f2a404b272c1521d3c2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
3 . 已知数列
、
满足
,
,其中
是等差数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92cb5df2f912f155cf12dae0b30c1e9.png)
______ .
![](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/010baf415f792018ad9abd752e37b983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b61a41b7c5f96eeb0de11b6273b523a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92cb5df2f912f155cf12dae0b30c1e9.png)
您最近一年使用:0次
名校
解题方法
4 . 设
是公差不为0的等差数列
的前n项和,若
,则k =__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70cb7b6d14630288595af4d9ad841312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3783e69ef5a6a0af566ff4e21ccf03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b497ada2a9115c51e2cb06e52942a33.png)
您最近一年使用:0次
5 . 数列
满足
,前16项和为668,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9cea59d62baee378f290c30727139a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
您最近一年使用:0次
6 . 数列
的各项都是正数,
,
,那么此数列的通项公式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7091fe9233e1781f4b1d9a7b23e70d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
您最近一年使用:0次
2024-03-11更新
|
653次组卷
|
9卷引用:四川省成都市成都外国语学校2023-2024学年高二下学期4月期中考试数学试题
四川省成都市成都外国语学校2023-2024学年高二下学期4月期中考试数学试题安徽省蚌埠第三中学2019-2020学年高一下学期4月月考数学试题甘肃省静宁县第一中学2020-2021学年高一下学期第三次月考数学(文)试题甘肃省静宁县第一中学2020-2021学年高一下学期第三次月考数学(文)(实验班)试题(已下线)专题6-1 数列递推与通项公式22种归类 -1(已下线)专题14 数列的通项公式(已知递推式)-1(已下线)拓展一:数列递推与通项公式归类(1)(已下线)专题08 求数列通项17种常见考法归类(1)(已下线)专题01:等差等比判定及应用(三大类型)
名校
7 . 在等差数列
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621f598db04b0e84a7a9b3339944c207.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026fbfa4f68f2ab1e722dea7693736d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621f598db04b0e84a7a9b3339944c207.png)
您最近一年使用:0次
2023-12-19更新
|
1338次组卷
|
6卷引用:四川省凉山州安宁河联盟2023-2024学年高二下学期期中联考数学试题
四川省凉山州安宁河联盟2023-2024学年高二下学期期中联考数学试题人教A版(2019) 选修第二册 数学奇书 第四章 数列 4.2 等差数列 4.2.1 等差数列的概念 第2课时 等差数列的性质陕西省咸阳市咸阳中学2023-2024学年高二上学期第三次阶段性检测数学试题(已下线)第4章:数列章末重点题型复习-【题型分类归纳】2023-2024学年高二数学同步讲与练(苏教版2019选择性必修第一册)(已下线)5.2.1 等差数列(4知识点+8题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)(已下线)1.2.1 等差数列的概念及其通项公式(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)
解题方法
8 . 已知数列
的前
项和为
,则数列
的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.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/d188feeac95da2e0a0c593bb7674245a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
您最近一年使用:0次
名校
解题方法
9 . 数列
满足:
,数列
的前
项和记为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24953fa0302593a78ee81d9b6ac3e74.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c62027f2b97f1daef612dc01ff2039e3.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24953fa0302593a78ee81d9b6ac3e74.png)
您最近一年使用:0次
2023-11-11更新
|
1027次组卷
|
4卷引用:四川省成都市第七中学2023-2024学年高三上学期期中考试理科数学试题
四川省成都市第七中学2023-2024学年高三上学期期中考试理科数学试题四川省成都市第七中学2023-2024学年高三上学期期中考试文科数学试题(已下线)考点3 等差列的前n项和及其性质 2024届高考数学考点总动员【练】(已下线)专题05 等比数列与数列综合求和-2023-2024学年高二数学期末复习重难培优与单元检测(人教A版2019)
名校
解题方法
10 . 已知等差数列
满足
,
,则
的前
项的和为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f5a39d8445aa4b263b285906c6e86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b72baec3ac666d73122a14b7261add4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5453184e251cfe787b5965cd38426962.png)
您最近一年使用:0次
2023-11-06更新
|
899次组卷
|
2卷引用:四川省仁寿第一中学校南校区2023-2024学年高三上学期10月阶段性检测理科数学试题