如图,某工厂生产的一种无盖纸筒为圆锥形,现一客户订制该圆锥纸筒,并要求该圆锥纸筒的容积为π立方分米.设圆锥纸筒底面半径为r分米,高为h分米.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/1/9d3f280f-4ad5-4929-9175-8c7fb976131c.png?resizew=207)
(1)求出r与h满足的关系式;
(2)工厂要求制作该纸筒的材料最省,求最省时
的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/1/9d3f280f-4ad5-4929-9175-8c7fb976131c.png?resizew=207)
(1)求出r与h满足的关系式;
(2)工厂要求制作该纸筒的材料最省,求最省时
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eaea741cfbe84ff838844c109a2d046.png)
更新时间:2016-12-03 09:41:56
|
相似题推荐
解答题
|
适中
(0.65)
解题方法
【推荐1】如图,某城市有一块半径为
的半圆形(以
为圆心,
为直径)绿化区域,现计划对其进行改建.在
的延长线上取点
,使
,在半圆上选定一点
,改建后的绿化区域由扇形区域
和三角形区域
组成,其面积为
. 设
.
(1)写出S关于x的函数关系式S(x),并指出x的取值范围;
(2)张强同学说:当
时,改建后的绿化区域面积S最大.张强同学的说法正确吗?若不正确,请求出改建后的绿化区域面积S最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c758c27bec97c234d1d818c40f3d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f619c4acc590fe683776fe4f6c1e8533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed01d1ff5a7f21a68fb3a1e5c7f393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf126cfed85fa9b7720ec6f7b0008dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ec46ba5eab5c6e3f9a7788eda30a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c228c3936a5048dcc49ad82046a67dc.png)
(1)写出S关于x的函数关系式S(x),并指出x的取值范围;
(2)张强同学说:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f69b1da32b0a596a3909d6b9095069.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
【推荐2】已知函数
,(
).
(1)分别计算
,
的值.
(2)由(1)你发现了什么结论?并加以证明.
(3)利用(2)中的结论计算
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb6d1989232018220bca0a1e84ac83e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
(1)分别计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2cb4e04d259f4f28a5ab1b31f7c966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1ca7d59338a54935cab36d7fee29f5.png)
(2)由(1)你发现了什么结论?并加以证明.
(3)利用(2)中的结论计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32961d0d475d243c06ab5e2ab29eae22.png)
您最近一年使用:0次
解答题-应用题
|
适中
(0.65)
名校
【推荐3】某花店每天以每枝
元的价格从农场购进若干枝玫瑰花,然后以每枝
元的价格出售.如果当天卖不完,剩下的玫瑰花作垃圾处理.
(1)若花店一天购进
枝玫瑰花,求当天的利润
(单位:元)关于当天需求量
(单位:枝,
)的函数解析式;
(2)花店记录了
天玫瑰花的日需求量(单位:枝),整理得下表:
以
天记录的各需求量的频率作为各需求量发生的概率.
①若花店一天购进
枝玫瑰花,
表示当天的利润(单位:元),求
的分布列、数学期望;
②若花店计划一天购进
枝或
枝玫瑰花,你认为应购进
枝还是
枝?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
(1)若花店一天购进
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a40142c84be68ee2918c3a8303388c.png)
(2)花店记录了
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
日需求量 | |||||||
频数 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
①若花店一天购进
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
②若花店计划一天购进
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feda926749de04fa585f73f84c568f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feda926749de04fa585f73f84c568f0c.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
解题方法
【推荐1】如图,圆形纸片的圆心为
,半径为5,该纸片上的正方形
的中心为
,
,
,
,
为圆
上的点,
,
,
,
分别是以
,
,
,
为底边的等腰三角形,沿虚线剪开后,分别以
,
,
,
为折痕折起
,
,
,
,使得
,
,
,
重合,得到四棱锥,设
.
![](https://img.xkw.com/dksih/QBM/2021/4/30/2710973393297408/2785502317985792/STEM/195bbefee9ae4db3b774332ff4a04e1e.png?resizew=174)
(1)试把四棱锥的体积
表示为
的函数;
(2)
多大时,四棱锥的体积最大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6830ebecddbd9759be626289c408e4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5090091503f9c176630ba736fd42e67c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac78ba10bed6d3398f0aea9a359298b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14b86b8bf99386fc939c9c12b1355ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6a0c85deb80d8e63bc60127e803f7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3d0eb5033147915c20ca6b86811ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac78ba10bed6d3398f0aea9a359298b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5fec3537f9b80e703c213e3b8b2ef33.png)
![](https://img.xkw.com/dksih/QBM/2021/4/30/2710973393297408/2785502317985792/STEM/195bbefee9ae4db3b774332ff4a04e1e.png?resizew=174)
(1)试把四棱锥的体积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐2】现有一张长为80cm,宽为60cm的长方形铁皮
,准备用它做成一只无盖长方体铁皮盒,要求材料利用率为
,不考虑焊接处损失.如图,若长方形
的一个角剪下一块铁皮,作为铁皮盒的底面,用余下材料剪拼后作为铁皮盒的侧面,设长方体的底面边长为x cm,高为y cm,体积为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/8e057b1a-0993-414f-828b-7fcbc99888a0.png?resizew=172)
(1)求出
与
的关系式;
(2)求该铁皮盒体积
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26292b7c55049ffaf44b4f46c467fed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c65664886b1d0ed9415c967f0115fd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/8e057b1a-0993-414f-828b-7fcbc99888a0.png?resizew=172)
(1)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ffb694021b52653de5141ae27ba6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fcf9bfbf771cb6118f8e631724314e3.png)
(2)求该铁皮盒体积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49afb888af42a0fd9dffa515b380b68.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐3】如图(图中单位为:m),将一个边长为16的正方形铁片的四角截去四个边长均为x的小正方形,做成一个无盖方盒.
(2)x多大时,方盒的容积V最大?最大容积为多少?
(2)x多大时,方盒的容积V最大?最大容积为多少?
您最近一年使用:0次