图1是一款由若干条吊链等间距悬挂而成的挂帘,吊链顶端悬挂在水平横梁上,自然下垂时底部呈圆弧形,其中最长吊链为
,最短吊链为
,挂满后呈轴对称分布.图2是其示意图,其中最长两条吊链
与
之间的距离
为
.
①若吊链数量为奇数,则圆弧半径为______
.
②若吊链数量为偶数,记对称轴右侧最短挂链的底端为点F,当C,F,B三点在同一条直线上时,吊链的数量为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8944d00d70fc105c0ae6c93001b6a25b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c2c458557c1fdd6bdfd0d6cc058987b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50508c45d97b2e76baa9ea58b0dea26b.png)
①若吊链数量为奇数,则圆弧半径为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
②若吊链数量为偶数,记对称轴右侧最短挂链的底端为点F,当C,F,B三点在同一条直线上时,吊链的数量为
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/13/db1fb963-18d1-417a-b656-e4524346dda4.png?resizew=341)
更新时间:2023-02-08 11:00:56
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