圆锥底面半径为1,高为
,轴截面为
.如图,从
点拉一绳子绕圆锥侧面一周回到
点,则最短绳长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/f67f0094-5436-403c-bd03-07cb07463047.png?resizew=117)
20-21高二上·浙江·期中 查看更多[3]
更新时间:2020-11-14 22:56:15
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【知识点】 圆锥的展开图及最短距离问题
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【推荐1】已知圆锥的表面积为
,且它的侧面展开图是一个半圆,则这个圆锥的底面半径为________ .
![](https://img.xkw.com/dksih/QBM/2018/1/11/1858190046101504/1859000958197760/STEM/f1c73cf92aa74c748616f3010b17ebb1.png?resizew=13)
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【推荐2】如图,圆锥的母线长为4,点
为母线
的中点,从点
处拉一条绳子,绕圆锥的侧面转一周达到
点,这条绳子的长度最短值为
,则此圆锥的表面积为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
![](https://img.xkw.com/dksih/QBM/2021/4/21/2704573506461696/2806348653379584/STEM/2a724aea-70f3-44ff-a36a-6a272f238d2a.png?resizew=281)
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