名校
1 . 如图,某油田计划在铁路线
一侧建造两家炼油厂
、
,同时在铁路线上建一个车站
,用来运送成品油.先从车站出发铺设一段垂直于铁道方向的公共输油管线
,再从
分叉,分别向两个炼油厂铺设管线
、
.图中各小写字母表示的距离(单位:千米)分别为
,
,
.设所有管线的铺设费用均为每千米7.2万元,公共输油管线长为
,总的输油管道长度为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/9d225c22-c71a-4ee3-b84c-4f65f4855630.png?resizew=255)
(Ⅰ)若
,请确定车站
的位置,使得总的输油管道长度为
最小,此时输油管线铺设费用是多少?
(Ⅱ)请问从降低输油管线铺设费用的角度出发,是否需要铺设公用管线.如果需要请给出能够降低费用管线铺设方案(精度为0.1千米).
(参考数据:
,
,
,
,
,
,
,
,
,
,
.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f6927cc2a930203ac34366383e76ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019eb94a6a2b38308811470d860e1a20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25640257dbcbd5ae48f87958ef79cb25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9336e207e7b70abf036176204d118267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c339e4a1e71a9829e340c88a48a3ef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/9d225c22-c71a-4ee3-b84c-4f65f4855630.png?resizew=255)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
(Ⅱ)请问从降低输油管线铺设费用的角度出发,是否需要铺设公用管线.如果需要请给出能够降低费用管线铺设方案(精度为0.1千米).
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3eeb65aaf62233164203f1b4d63b4cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246147e2682d5c6926953b2145699138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3bfb0361a91cff5d2783f3d80e7907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c829b7d6d44ac7399212e3543449d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4bdd4cd4c9abc7d22455ddfde7b8a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abbf53d7a9ad6a22f65a9bfed50f0bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c296ee235df4dca2986b379d6dd7be6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f973b52a8769fb3b8ddf5f27812543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84f0956692cae4eba3f557dcce9bc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8500fd4a1086303cd2c946a2a7b3b59c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef7d13b10e8981db87e500cc41f9f74.png)
您最近一年使用:0次
2 . 某公司为了激励业务员的积极性,对业绩在60万到200万的业务员进行奖励奖励方案遵循以下原则:奖金y(单位:万元)随着业绩值x(单位:万元)的增加而增加,且奖金不低于1.5万元同时奖金不超过业绩值的5%.
(1)若某业务员的业绩为100万核定可得4万元奖金,若该公司用函数
(k为常数)作为奖励函数模型,则业绩200万元的业务员可以得到多少奖励?(已知
,
)
(2)若采用函数
作为奖励函数模型试确定最小的正整数a的值.
(1)若某业务员的业绩为100万核定可得4万元奖金,若该公司用函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80863ed9c90d0a00215a1e1be7063d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f4d8318aba2dd01bfdc4c6b77c6121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab1cb23df1e01a5120207dbfb4ae6c9.png)
(2)若采用函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c6ecfba2088056867e259b40a625b.png)
您最近一年使用:0次
2020-03-04更新
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778次组卷
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4卷引用:湖南省株洲市茶陵县第三中学(A佳教育大联盟)2019-2020学年高一上学期期中数学试题