名校
解题方法
1 . 如图,在直角梯形
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
,
,
,以
边所在的直线为轴,其余三边旋转一周所形成的面围成一个几何体.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/30/b0072ff6-29bd-4e77-94bf-fa00a5076f63.png?resizew=102)
(1)求该几何体的表面积;
(2)一只蚂蚁在形成的几何体上从点
绕着几何体的侧面爬行一周回到点
,求蚂蚁爬行的最短距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6045266f6db39e41b7abde762d9e9a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/30/b0072ff6-29bd-4e77-94bf-fa00a5076f63.png?resizew=102)
(1)求该几何体的表面积;
(2)一只蚂蚁在形成的几何体上从点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2023-04-20更新
|
1093次组卷
|
7卷引用:专题07锥体(6个知识点9种题型1种高考考法)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(沪教版2020必修第三册)
(已下线)专题07锥体(6个知识点9种题型1种高考考法)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(沪教版2020必修第三册)(已下线)立体几何专题:几何体表面最短路径5种考法(已下线)11.3 多面体与旋转体(四大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020必修第三册)河北省保定市2022-2023学年高一下学期期中数学试题河北省沧州市沧县中学2022-2023学年高一下学期期中数学试题河北省邯郸市大名县第一中学2022-2023学年高一下学期5月月考数学试题广东省梅州市兴宁市2022-2023学年高一下学期期中联考数学试题
20-21高一·全国·课后作业
解题方法
2 . 用油漆涂100个圆台形水桶(桶内外侧都要涂),桶口直径为30cm,桶底直径为25cm,母线长是27.5cm.已知每平方米需用油漆150g,共需用油漆多少千克(精确到0.1kg)?
您最近一年使用:0次
3 . 如图,我们知道,圆锥是
(及其内部)绕
所在的直线旋转一周形成的几何体.我们现将直角梯形
(及其内部)绕
所在的直线旋转一周形成的几何体称为圆台.设
的半径为
,
的半径为
,
.
![](https://img.xkw.com/dksih/QBM/2020/7/15/2506613295849472/2507208684691456/STEM/a5d8434840a64a5f899ff4cc6ac58cc5.png?resizew=293)
(1)求证:圆台的体积
;
(2)若
,
,
,求圆台的表面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e3578d543b8f7978beb0440f9e4536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d246fc443cdad4550b22e5d0bf61c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ca3a80eb1552367bb1b7ebebed242e.png)
![](https://img.xkw.com/dksih/QBM/2020/7/15/2506613295849472/2507208684691456/STEM/a5d8434840a64a5f899ff4cc6ac58cc5.png?resizew=293)
(1)求证:圆台的体积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2c79fe651b63c7efd7f9836d23b099.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e159fa38488741d395ea9cb03386b1ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7551011cfb75b26f35b07d6617c6a18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea196ac1aadb7be4109c02baeadce25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2020-07-16更新
|
244次组卷
|
4卷引用:第11讲 柱、锥、台的体积(核心考点讲与练)-2022-2023学年高二数学考试满分全攻略(沪教版2020必修第三册)
(已下线)第11讲 柱、锥、台的体积(核心考点讲与练)-2022-2023学年高二数学考试满分全攻略(沪教版2020必修第三册)(已下线)专题2.5 简单几何体【章节复习专项训练】-2020-2021学年高二数学下学期期末专项复习(沪教版)上海市静安区2019-2020学年高二下学期期末数学试题沪教版(2020) 必修第三册 新课改一课一练 第11章 单元复习