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1 . 某公园门票单价30元,相关优惠政策如下:
①10人(含)以上团体购票9折优惠;
②50人(含)以上团体购票8折优惠;
③100人(含)以上团体购票7折优惠;
④购票总额每满500元减100元(单张票价不优惠).
现购买47张门票,合理地设计购票方案,则门票费用最少为( )
①10人(含)以上团体购票9折优惠;
②50人(含)以上团体购票8折优惠;
③100人(含)以上团体购票7折优惠;
④购票总额每满500元减100元(单张票价不优惠).
现购买47张门票,合理地设计购票方案,则门票费用最少为( )
A.1090元 | B.1171元 | C.1200元 | D.1210元 |
您最近一年使用:0次
2021-01-23更新
|
457次组卷
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4卷引用:北京市东城区2021届高三上学期期末考试数学试题
2 . 设函数
定义域为
若
在
上单调递减,则称
为函数
的峰点,
为含峰函数.(特别地,若
在
上单调递增或递减,则峰点为1或0).
对于不易直接求出峰点
的含峰函数,可通过做试验的方法给出
的近似值,试验原理为:“对任意的
若
则
为含峰区间,此时称
为近似峰点;若
则
为含峰区间,此时称
为近似峰点”.
我们把近似峰点与
之间可能出现的最大距离称为试验的“预计误差”,记为
,其值为
其中
表示
中较大的数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913b7537e011acfeec11952731351388.png)
(Ⅰ)若
求此试验的预计误差
;
(Ⅱ)如何选取
才能使这个试验方案的预计误差达到最小?并证明你的结论(只证明
的取值即可).
(Ⅲ)选取
可以确定含峰区间为
或
在所得的含峰区间内选取
,由
与
或
与
类似地可以进一步得到一个新的预计误差
.分别求出当
和
时预计误差
的最小值.(本问只写结果,不必证明)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e12a671b40001ab08cb50ee80973c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b87c5c809c4467debbf60943c7369d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd95991e8e4f9b8bc57537eca694ccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
对于不易直接求出峰点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd95991e8e4f9b8bc57537eca694ccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd95991e8e4f9b8bc57537eca694ccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731a7468f1ab8de48d89fc617e538703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1462879e62e03199fc37dab02b5f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14283f108568721e6d9ec8d42036be33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34abe5762f9f40833f982b9b64c0e0c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2a570f0086433e604736679f7192c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
我们把近似峰点与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd95991e8e4f9b8bc57537eca694ccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53db5eb97837066a7b0e8c684df19c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a477a57d5253d22006c85ede1f5575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913b7537e011acfeec11952731351388.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f548b5c48a34a72f99fe4c2ef7cad8b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(Ⅱ)如何选取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58cc80f792a9262c4da33fabd21e95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
(Ⅲ)选取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731a7468f1ab8de48d89fc617e538703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14283f108568721e6d9ec8d42036be33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e5bf13b98b77dfa38a2fd4c2894620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd8c078269f809abe826db037577953.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865afa1f97658d54e0616094b6a6aee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54802791b3480fcd7f345d21b642559b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd8c078269f809abe826db037577953.png)
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