题目内容
(本小题满分12分)
在一个直径是50的球形器材中,嵌入一根圆轴(如图5-5),为了使圆轴不易脱出,
应该使它与球有最大的接触面积,问圆轴的半径x应是多少?
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在一个直径是50的球形器材中,嵌入一根圆轴(如图5-5),为了使圆轴不易脱出,
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解:设圆轴的半径为x ,与球接触的圆轴的高为h ,圆轴与球的接触面积是y .则圆轴与球的接触面积是一个圆柱的侧面积且有y=2πxh ①,其中0<x<25.
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答:圆柱的半径应为
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答:圆柱的半径应为
略
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