1 . 随着科技的发展,越来越多的智能产品深入人们的生活.为了测试某品牌扫地机器人的性能,开发人员设计如下实验:如图,在
表示的区域上,扫地机器人沿着三角形的边,从三角形的一个顶点等可能的移动到另外两个顶点之一,记机器人从一个顶点移动到下一个顶点称执行一次程序.若开始时,机器人从
点出发,记机器人执行
次程序后,仍回到
点的概率为
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019e032a954865d46eb35956a8fc2fe3.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-13更新
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447次组卷
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2卷引用:辽宁省2023-2024学年高二下学期期初教学质量检测数学试题
名校
解题方法
2 . 已知等差数列
的前
项的和为
,公差
,若
,
,
成等比数列,
;数列
满足:对于任意的
,等式
都成立.
(1)求数列
的通项公式;
(2)证明:数列
是等比数列;
(3)若数列
满足
,试问是否存在正整数
,
(其中
),使
,
,
成等比数列.
![](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/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e35eeaabd951fb09b2926807da3685b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a39dabf1d2cb4094bd2178576970d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1908e360b1cff9a7e59a0456e469f6.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dba96dddd47d40c9107553b1c51eb6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/970bfc7c34b010d8c880e7b51960494a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7936359df4c926b72b48c6fdae55f12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d4ad9afdd266c6d38421bdfccd45e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b924cf3c2252a73ec6809ca262643f7.png)
您最近一年使用:0次
2020-03-25更新
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425次组卷
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2卷引用:辽宁师范大学附属中学2019-2020学年高二上学期开学考试数学试题