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n边形的内角和的度数是多少

更新时间: 2020-10-28 00:00:00     

三角形的内角和为180(3-2)*180;四边形的内角和为360(4-2)*180;由此可见,多边形的边数与内角和的关系为:

180*(n-2)。从一个n边形的一个顶点出发,可作(n-3)条对角线,把n边形分成(n-2)个三角形,这(n-2)个三角形的内角和之和就是n边形的内角和,所以n边形的内角和为(n-2)×180°。

关键词: 内角 度数 多少

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