名校
1 . 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)
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2 . 等差数列
中,
为
的前n项和,
,若不等式
,对任意的
恒成立,则实数k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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9166f4cb7811b893e0a435118c2c95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a651fd41462de3f9c6edbead15738580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
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2024-05-11更新
|
496次组卷
|
4卷引用:广东省华南师范大学附属中学2023-2024学年高二下学期期中考试数学试题
广东省华南师范大学附属中学2023-2024学年高二下学期期中考试数学试题广东省茂名市高州中学2023-2024学年高二下学期5月中旬模拟数学试题(已下线)专题1 数列的单调性与最值(范围)问题【讲】(高二期末压轴专项)山东省烟台市牟平区第一中学2023-2024学年高二下学期6月限时练(月考)数学试题
名校
解题方法
3 . 已知数列
为正项等比数列,且
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b90021585781f4b36ca49ac97b5f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
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2024-05-11更新
|
583次组卷
|
3卷引用:4.3.1等比数列的概念(1)
4 . 已知等差数列
的前
项和为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7a3fe9ac45ca8bab8b1fc36c541ab8.png)
_______ .
![](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/ced4e381e8c3336848b8c436dbc584f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa45ba57a920ce722a0e17307601b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7a3fe9ac45ca8bab8b1fc36c541ab8.png)
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5 . 马尔科夫链是机器学习和人工智能的基石,其数学定义为:假设序列状态是...,
,那么
时刻的状态的条件概率仅依赖前一状态
,即
.著名的赌徒模型就应用了马尔科夫链:假如一名赌徒进入赌场参与一个赌博游戏,每一局赌徒赌赢的概率都为50%,每局赌赢可以赢得1金币,赌输就要输掉1金币.赌徒自以为理智地决定,遇到如下两种情况就会结束赌博游戏:一是输光了手中金币;二是手中金币达到预期的1000金币,出现这两种情况赌徒都会停止赌博.记赌徒的本金为70金币,求赌徒输光所有金币的概率___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68334a69a0920568f8681f1464dd184a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b49fdb5924134bfc54266f0fee35ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb150b73ea7c87972a0b57510a99472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e670c57ee285cbe910c3ef90a124ecc9.png)
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6 . 成等差数列的四个数之和为26,第二个数与第三个数之积为40,这四个数为______ .
您最近一年使用:0次
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7 . 已知数列
中
,
,若
是等差数列,则![](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/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2024-05-06更新
|
237次组卷
|
3卷引用:江西省抚州市金溪县第一中学等校2023-2024学年高二下学期期中考试数学试卷
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解题方法
8 . 有两个等差数列
,
,
,
,
及
,
,
,
,
,由这两个等差数列的公共项按从小到大的顺序组成一个新数列,这个新数列共有_______ 项,这个新数列的各项之和为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9e34683ae906ff0b4644539b2d313b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180ea775f2af05650404d764384e7faa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dd550e1ad9bbf01687ffb4aab788ec.png)
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9 . 已知等差数列
的通项公式为
,则公差![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a4658ab94306d39aedda17deed7216.png)
_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c0e966db2d11c9dba1454ac6fcb8e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a4658ab94306d39aedda17deed7216.png)
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