如图,已知矩形ABCD中,
,
,直线
,且直线l与CD之间的距离为a,以l为轴将矩形ABCD旋转一周,求所得几何体的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4217f4375caaeef4d4221143d5f6bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e781a2489271bfd1597cba1bb6f5887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f793c1e0b876614b5609009345fdce3f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/9/d53c39af-98ba-418b-bece-191c7de9aaff.png?resizew=126)
更新时间:2020-01-31 15:38:00
|
相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】把由曲线
和
围成的图形绕
轴旋转
,求所得旋转体的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10306d2741184823a1784f3f26c73343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384b3248b6c1f724dbe653fb1c84153.png)
您最近一年使用:0次
【推荐2】在一个如图所示的直角梯形
内挖去一个扇形,
是梯形的下底边上的一点,将所得平面图形绕直线
旋转一圈.
(1)说明所得几何体的结构特征;
(2)求所得几何体的表面积和体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/27/cad04fc9-a811-43ed-8c4f-7bb4aad72da3.png?resizew=90)
(1)说明所得几何体的结构特征;
(2)求所得几何体的表面积和体积.
您最近一年使用:0次
【推荐1】如图所示(单位:
),四边形
是直角梯形,求图中阴影部分绕
旋转一周所成几何体的表面积和体积.(参考公式::台体的体积公式:
,圆台的侧面积公式:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97153bc3d02dfb38ee046487a8037a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf38f43d820c85fc06020c81bb45c00f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47def6502fda732ad18062138ca6d03c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce3bd9a08de986773415981ab9c9a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a07fb02154628543b47afb040918f9af.png)
![](https://img.xkw.com/dksih/QBM/2018/10/22/2058996036788224/2061816401207296/STEM/3894df5c27f9415fad181847ae4063ba.png?resizew=144)
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2】如图所示,已知直角梯形,
,
,
,
,
,
求:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/21/22fc4869-414e-4f14-baf9-d28645673049.png?resizew=185)
(1)以
所在直线为轴旋转一周所得几何体的表面积;
(2)以
所在直线为轴旋转一周所得几何体的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1e04eeb4de72e5750dae77bcb6f88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2f39d3fcb1664705228e683c2cc3b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babf22605cb87aea5d039e8f53df03ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c77856f929919e1cbcf76d19c511d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d9488f20d8e43c37a7da40a07962a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/21/22fc4869-414e-4f14-baf9-d28645673049.png?resizew=185)
(1)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次