在数字
,
,
,
,
(
)的任意一个排列
:
,
,
,
,
中,如果对于
,
,
,有
,那么就称
为一个逆序对.记排列
中逆序对的个数为
.对于数字
,
,
,
,
(
)的一切排列
,则所有
的算术平均数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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19-20高三下·上海浦东新·阶段练习 查看更多[3]
更新时间:2020-09-06 23:28:06
|
【知识点】 数列新定义
相似题推荐
【推荐1】定义:满足下列两个条件的有穷数列
,
,…,
为
阶“期待数列”.
①
,②
.
试写出一个3阶“期待数列”__________ ;若2023阶“期待数列”
是递增的等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ad1a3f81b21c7f4704ed2e9daa5dd8.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6808cc8a0bfb9c6bce8eca16690b2b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7aad50f3b65071318ceb833846f7f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05783fea92b0a7effba96fd8a2e6736a.png)
试写出一个3阶“期待数列”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ad1a3f81b21c7f4704ed2e9daa5dd8.png)
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【推荐2】数学家祖冲之曾给出圆周率
的两个近似值:“约率”
与“密率”
它们可用“调日法”得到:称小于
的近似值为弱率,大于
的近似值为强率
由
,取
为弱率,
为强率,得
,故
为强率,与上一次的弱率
计算得
,故
为强率,继续计算,
若某次得到的近似值为强率,与上一次的弱率继续计算得到新的近似值;若某次得到的近似值为弱率,与上一次的强率继续计算得到新的近似值,依此类推
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598564aec706dff769c5afc4c378c572.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb9b8fd11f9a3d287e956df276667615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb92d6017d8d5cdb1d5cceecfcb3689b.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
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