(相关资料图)
1、1.正多边形都有一个外接圆和一个内切圆;顺次连接圆上n个等分点的多边形为正n边形.2.圆内接多边形各边相等时为正多边形;圆外切多边形各角相等时为正多边形.3.圆内接多边形各角相等且边数为奇数时,此内接多边形为正多边形; 圆外切多边形各边相等且边数为奇数时,此外切多边形为正多边形.4.一个圆的内接正n边形与其外切正n边形相似,且相似比等于cos(180°/n);5.周长相等的正多边形与圆相比,圆的面积较大,且多边形边数越多,其面积越接近于圆; 面积相等的正多边形与圆相比,圆的周长较小,且多边形边数越多,其周长越接近于圆.6.圆是轴对称图形,对称轴有无数条;正多边形也是轴对称图形,对称轴的条数与边数相等.7.圆也是中心对称图形;正多边形只有当边数为偶数时,它才是中心对称图形.。
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