名校
1 . 设
.在
的方格表的每个小方格中填入区间
中的一个实数.设第i行的总和为
,第i列的总和为
.求
的最大值______ (答案用含a的式子表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f98da45d4de19a962cfa1d186e2755a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ace7d64e7ff100db25a07330654d5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af908bca1b10f5de7e2d8979989c806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ea8f47d8d8d9e1832d52b1c7425450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352c5c9b17f090e53bcdfd9e05c7e5fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a71c7129333f890292aa75bc1d080a7.png)
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2 . 记正项数列
的前
项和为
,若
,则
的最小值为__________ .
![](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/57deda4866b0d5825402b9153cdd6b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a83bd56182758d8ef1e15eb5ad3dd9f.png)
您最近一年使用:0次
2024-06-03更新
|
477次组卷
|
2卷引用:重庆康德卷2024年普通高等学校招生全国统一考试高三第二次联合诊断考试数学试题
3 . 已知
轴上的点
,
,
,
满足
,射线
上的点
,
,
,
满足
,记四边形
的面积为
,且
恒成立,则区间长度
的最小值为_____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92b8041e98e4f435acdbeb983efbe46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5755123f876868394b160608317eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b25286f6029da66ce5270aacd05184f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512a0a677988c1881a8fa457a88c5fd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e49f0172de00b37e1f3861a751a57dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da0eb3662f64f56c090473cbabb4814.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420f40c58d5518aea8e83a99074807d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65433a22b15ea4e75432d74a1ccf3b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451a741e5af8cbfe82e129afb9eb763a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76d7c1b5ad91f8d7e92f02977904b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367a5b6ff7709c6e163aabe3b480463c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
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4 . 已知数列
的通项公式
,记
为
在区间
内项的个数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c8295cac664bb360a9fdd495b32ff5.png)
__________ ;使得不等式
成立的
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff1c33b81ac2f065d37faef37504bb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f64696f60c533ad95dc7890eb902741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dead3b2c309d96523f2ed8c75763b207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c8295cac664bb360a9fdd495b32ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/405df2d692f5db2ea7f6c0b889d2fd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
5 . 已知等差数列
和等比数列
满足
,
,则数列
在![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda86667ea4840b160720a37836522dd.png)
________ 时取到最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1905efcccf109907d8e91c1f55911c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561ca083ac5d3b66a4c75160bd43076b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8199b21a642e6fa67e97bc361ab61f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c1f769aa58dd6c69c5aa3f5a4d899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37f87a758b88d8b01c58655a903115e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda86667ea4840b160720a37836522dd.png)
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名校
6 . 已知数列
各项均为正整数,对任意的
,
和
中有且仅有一个成立,且
,
.记
.给出下列四个结论:
①
可能为等差数列;
②
中最大的项为
;
③
不存在最大值;
④
的最小值为36.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a583edb0e84f935bfaf02261ac2760de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d083e85f198b54764865dd450fa0b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db89d6ca904798f722e747b7e001bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70593903af9569bfea27bb8731d8468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ecf69901899bba130968c7a091790d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74cc399198e9bf447882d36717f0083b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2602ca942dad603b8d871457afbed199.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05201ef79a5d5904f492845396fb5470.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05201ef79a5d5904f492845396fb5470.png)
其中所有正确结论的序号是
您最近一年使用:0次
2023-07-10更新
|
626次组卷
|
5卷引用:北京市十一学校2023-2024学年高一上学期期末教学诊断数学试卷
北京市十一学校2023-2024学年高一上学期期末教学诊断数学试卷(已下线)【北京专用】高二下学期期末模拟测试A卷【北京专用】专题03数列(第三部分)-高二上学期名校期末好题汇编(已下线)专题01 等差数列4种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北京专用)北京市西城区2022-2023学年高二下学期期末考试数学试题
7 . 对于项数为10的数列
,若
满足
(其中
为正整数,
),且
,设
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d7640685e95fe3533ad360e696058d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cc475622b828fcd89a5dbd95e10ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2cb1ffc1137276572f07899a3e39510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5701972d8a3c0135cbca3880627ea897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-06-21更新
|
392次组卷
|
3卷引用:专题01 数列(九大题型+优选提升题)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(沪教版2020选择性必修,上海专用)
(已下线)专题01 数列(九大题型+优选提升题)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(沪教版2020选择性必修,上海专用)上海市青浦区2022-2023学年高二下学期期末数学试题广东五校2022-2023学年高二下学期期末联考数学试题
解题方法
8 . 意大利数学家斐波那契
年~
年)以兔子繁殖数量为例,引人数列:
,该数列从第三项起,每一项都等于前两项之和,即
,故此数列称为斐波那契数列,又称“兔子数列”,其通项公式为
.设
是不等式
的正整数解,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e127dd71658803c3787d3b485c503d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dee2eae5ce97267386d7ad405758348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a638fcc8e7d8283654e836b24b938d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/165297f52f8e2cb9a51e5b88118a3465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f738fe91a4e82dcfe0ec5fdec0e57fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a0df4cdc2649e6578613eca6737ab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
解题方法
9 . 已知定义在R上的函数
满足
,当
时,
.设
在区间
(
)上的最小值为
.若存在
,使得
有解,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104bce43c1d62a1f4efee6a681382bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d31d07e0e178dd81de9ab409d9475e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3daad3a31a3597f75fa109736ed2ebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa54e41ac9f04f5c2a124c186997a82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83066d5a44dc2d14a03708ab20cce72b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
是各项均为正数的无穷数列,其前
项和为
,且
.给出下列四个结论:
①
;
②
;
③对任意的
,都有
;
④存在常数
,使得对任意的
,都有
,
其中所有正确结论的序号是______ .
![](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/a519c34b3220007c58f56b8190dfcd1b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d59c6d9991a45e22d257cc8f23c64e4.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199d9f93ae241a3f470ebe4f8264e36c.png)
③对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25531b417aa51e1237a96e6fc061633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93f39dd7fbd497b8d3daeaff48376ec.png)
④存在常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6bf90a1bbeea09e1b7206975a99f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1505d56f0b35fe7f2de1fe1888036e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75fee6645fff7fb0c2b2d40f4ddb727.png)
其中所有正确结论的序号是
您最近一年使用:0次
2022-11-04更新
|
1324次组卷
|
5卷引用:专题01数列的概念