名校
1 . 已知等差数列
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d34cc1ed08c82ea889634d99593b6c5.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc50bc1a3f6c317ac0541c5d4aa37dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d34cc1ed08c82ea889634d99593b6c5.png)
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2 . 已知数列
为正项的递增等比数列,
,
,记数列
的前
项和为
,则使不等式
成立的正整数
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02523eca147c60f84f7a68a1816febac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabfbc9e078cfd516cb7367852812f91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb217a2125c3089bff96bb95569ccbe1.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/4fc24b6b0b52e846d8bdad39fde730fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
3 . 已知等差数列
满足
,前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.png)
______________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9538ededb840cb0b8a77570e7ee03cca.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/dc4e70b360f988fdbd92300ab22c4613.png)
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4 . 记
上的可导函数
的导函数为
,满足
的数列
称为“牛顿数列”.若函数
,且
,数列
为牛顿数列.设
,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.png)
______ ,数列
的前
项和为
,若不等式
对任意的
恒成立,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33610d2a46105e3c8456257221d3d07b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2b53cd9892f6d174509740afbc69d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc99d88113ea15551836c088b344556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192c4daedc8900415241cc1717a279f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd2d9c376d608c2a5cef50e0acd006f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.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/b38f76ec3596e138bcc09945c6fbde96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2024-02-04更新
|
858次组卷
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10卷引用:重庆市第八中学校2023-2024学年高三上学期高考适应性月考(三)(11月)数学试题
重庆市第八中学校2023-2024学年高三上学期高考适应性月考(三)(11月)数学试题重庆市沙坪坝区重庆八中2024届高三上学期高考适应性月考卷(三)数学试题(已下线)山东省济南市2022-2023学年高三上学期期中数学试题变式题15-18(已下线)考点16 几类特殊的数列模型 2024届高考数学考点总动员【练】(已下线)大招6 数列函数属性江苏省盐城市东台市安丰中学等六校2024届高三下学期4月联考数学试题(已下线)【讲】专题4 数列新定义问题湖北省武汉市华中师范大学第一附属中学2023-2024学年高二上学期期末检测数学试题湖南省张家界市2023-2024学年高二上学期期末联考数学试题湖北省部分高中联考协作体2023-2024学年高二下学期期中考试数学试卷
名校
解题方法
5 . 已知
是正项等比数列,若
则
的最小值等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f53c0918fa299b8a58b737e406d7386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768f39aec3702caae34591cf637a7b00.png)
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2024-01-10更新
|
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4卷引用:重庆市黔江中学校2022届高三上学期11月考试数学试题
重庆市黔江中学校2022届高三上学期11月考试数学试题江西省赣州市南康中学2024届高三上学期七省联考考前数学猜题卷(六)(已下线)考点5 等比数列的基本量及其性质 2024届高考数学考点总动员【练】(已下线)2024年高考数学二轮复习测试卷(新高考Ⅱ卷专用)
名校
6 . 已知数列
满足
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9018940318b725158ae598c0c5fc0ea5.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9cff1a9ceaafab92feca53e701b150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42dc47ef4520578306fa2c6b21f7a360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462458da0c3f2e65b6978c1fc1003320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9018940318b725158ae598c0c5fc0ea5.png)
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2024-01-04更新
|
632次组卷
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2卷引用:重庆市南开中学校2024届高三上学期第五次质量检测数学试题
7 . 已知数列
是等差数列,
表示数列
的前
项和,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554e6c461ccc5aa3093c524aa528a4e2.png)
______ ;
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/674b8ec980dee2fcc9f6d2682cb8e358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554e6c461ccc5aa3093c524aa528a4e2.png)
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名校
8 . 已知数列
满足
,
,若
,则数列
的前2023项之和为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70be5360b68d1d8b78c020cd38038fbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
名校
9 . 已知数列
满足
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bf78468ca801ef305ce4f76986da1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f858e5b301d4c9ac7917e8b2fc3b9514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14835bf3f00139ccec0694d0924db795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bf78468ca801ef305ce4f76986da1.png)
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名校
解题方法
10 . 各项均为正数的等比数列
的前
项和为
,且
,
,
成等差数列,若
,则
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.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/cfaca09f4558cc263c62abd9f461683d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/049cbc3e23ca095e9a542a3401066673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
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2023-12-19更新
|
1241次组卷
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5卷引用:重庆市渝北中学校2024届高三上学期12月月考数学试题