名校
1 . 对于任意的正整数
,记
,
表示
,且xn+1
y
.则使得
成立的最大整数
为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1e3a96d52e569ec0c6aa7b0d6b2569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba757872478c9e8227368d2699d99ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a46fb97d1c89fdcd96aa4a646115bd2.png)
![](https://img.xkw.com/dksih/QBM/2023/5/18/3240515094872064/3240976659005440/STEM/5bd511a2ebdc4e46a146a01b95037055.png?resizew=11)
.则使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d0ee2b3f4e3d9fcc406ab61145138a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2 . 已知
为正整数.
(1)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e881a784e2b5216ba5562e07c4553a4e.png)
不能 表示为两个以上连续整数的乘积;
(2)若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e881a784e2b5216ba5562e07c4553a4e.png)
能 表示为两个连续整数的乘积,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e881a784e2b5216ba5562e07c4553a4e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e881a784e2b5216ba5562e07c4553a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-02-15更新
|
162次组卷
|
2卷引用:安徽省芜湖市第一中学2019-2020学年高一理科实验班自主招生数学试卷