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(一) 问题的提出在生产实践中会碰到这样的问题:有一块形状为多边形的铁板,要把它制成最大的整块的圆形铁板,应该怎样做? 实质上,这就是作已知多边形内的最大圆问题。 (二) 最简单的情形当已知多边形存在内切圆时,这内切圆即为已知多边形内的最大圆。证.设已知多边形A B C…E的内切圆为⊙O(r)。在已知多边形内的圆可分为两类: (1) 当圆心为O时,易知其半径都不大于r。
(A) The question is raised in the production practice will encounter such a problem: There is a piece of iron in the shape of a polygon, to make it into the largest monolithic round iron plate, what should be done? In essence, this is Make a maximum circle problem within a known polygon. (b) The simplest case When it is known that a polygon has an inscribed circle, this inscribed circle is the largest circle within the known polygon. Verify that the inscribed circle of the known polygon A B C...E is ⊙O(r). The circles in known polygons can be divided into two categories: (1) When the center of the circle is O, it is easy to know that its radius is not greater than r.