题目内容
(2004•三明)已知底面直径为D的圆锥,它的侧面展开图的面积是S,则圆锥母线长为L= .
【答案】分析:由于圆锥侧面积=
底面周长×母线长,那么母线长=
=
.
解答:解:由题意知:母线长=
=
.
故本题答案为:
.
点评:解决本题的关键根据圆锥的侧面积公式得到圆锥的母线长的求法.
![](http://thumb.1010pic.com/pic6/res/czsx/web/STSource/20131021232246282898871/SYS201310212322462828988001_DA/0.png)
![](http://thumb.1010pic.com/pic6/res/czsx/web/STSource/20131021232246282898871/SYS201310212322462828988001_DA/1.png)
![](http://thumb.1010pic.com/pic6/res/czsx/web/STSource/20131021232246282898871/SYS201310212322462828988001_DA/2.png)
解答:解:由题意知:母线长=
![](http://thumb.1010pic.com/pic6/res/czsx/web/STSource/20131021232246282898871/SYS201310212322462828988001_DA/3.png)
![](http://thumb.1010pic.com/pic6/res/czsx/web/STSource/20131021232246282898871/SYS201310212322462828988001_DA/4.png)
故本题答案为:
![](http://thumb.1010pic.com/pic6/res/czsx/web/STSource/20131021232246282898871/SYS201310212322462828988001_DA/5.png)
点评:解决本题的关键根据圆锥的侧面积公式得到圆锥的母线长的求法.
![](http://thumb2018.1010pic.com/images/loading.gif)
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