题目内容
用长、宽分别是3π和π的矩形硬纸卷成圆柱的侧面,则圆柱的底面半径是 .
【答案】分析:我们分别以3π和π为圆柱底面的周长,然后根据底面周长公式,我们易求出底面的半径.
解答:解:若以长3π的边为底面周长,
则圆柱的底面周长3π=2πr
∴r=![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103102910667359678/SYS201311031029106673596003_DA/0.png)
若以长π的边为底面周长,
则圆柱的底面周长π=2πr
∴r=![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103102910667359678/SYS201311031029106673596003_DA/1.png)
故答案为:
或![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103102910667359678/SYS201311031029106673596003_DA/3.png)
点评:本题考查的知识点是圆柱的结构特征,圆柱的底面周长等于侧面展开图中底边长是解答本题的关键.
解答:解:若以长3π的边为底面周长,
则圆柱的底面周长3π=2πr
∴r=
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103102910667359678/SYS201311031029106673596003_DA/0.png)
若以长π的边为底面周长,
则圆柱的底面周长π=2πr
∴r=
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103102910667359678/SYS201311031029106673596003_DA/1.png)
故答案为:
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103102910667359678/SYS201311031029106673596003_DA/2.png)
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131103102910667359678/SYS201311031029106673596003_DA/3.png)
点评:本题考查的知识点是圆柱的结构特征,圆柱的底面周长等于侧面展开图中底边长是解答本题的关键.
![](http://thumb.zyjl.cn/images/loading.gif)
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