下表中的数阵为“森德拉姆数筛”,其特点是每行每列都成等差数列,记第i行第j列的数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f28b9bbf8cc014fe1e4d971d5391569.png)
______ ,表中的数2021共出现______ 次.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba1bbe411bc71bca016d3fd82352f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f28b9bbf8cc014fe1e4d971d5391569.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/5/5ad113da-da25-46d1-8a8b-4243b35150f0.png?resizew=180)
19-20高二上·湖北随州·期末 查看更多[2]
更新时间:2020-03-10 18:16:49
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【推荐1】已知数列
的前
项和
满足:
(
),则数列
中最大项等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/4e3193d9ce40c46bb3f94ea0b947589a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
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解题方法
【推荐2】在等差数列{an}中,a1+a3+a5=105,a2+a4+a6=99,以Sn表示{an}的前n项和,则使Sn达到最大值的n是___________ .
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【推荐1】对大于或等于2的正整数的幂运算有如下分解方式:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d48c79926899978629f64216fa964520.png)
根据上述分解规律,若
的分解中最小的正整数是21,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761a378d029815161c8c3681eb4d592f.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a2c55f1b9c5cafbc3cda0214676919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d48c79926899978629f64216fa964520.png)
根据上述分解规律,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9032bfd22f4082b3af6769826d9f808a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761a378d029815161c8c3681eb4d592f.png)
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【推荐2】当
为正整数时,定义函数
表示
的最大奇因数.如
,….记
.则(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d03bc264be940f713d92d52b7066c078.png)
_____ .(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aca61695c187c75bec7100f012631c6.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e06998c7a2379982ac3633030a8bea3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f04be5bcdbdd4e5d27d78954e5a073c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60a6f467b5efdc2bc08c6ae66469ea3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d03bc264be940f713d92d52b7066c078.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aca61695c187c75bec7100f012631c6.png)
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