【摘要】 为计算边长给定的n(n≥5)边形的最大面积,根据n条边长a1,a2,…,an的不同关系,将n(n≥5)边形分成了"可直n边形"、"可锐n边形"和"可钝n边形"3类,并找到了"可直n边形"最大面积F n,max的准确计算公式.对于"可锐n边形"和"可钝n边形"的最大面积F n,max,则分别给出了基于"二分法"的数值算法.更多还原

【Abstract】 In order to calculate the maximal area of the n(n≥5)-sided polygons,the n(n≥5)-sided polygons are divided into "rightable n-sided polygon","acutable n-sided polygons" and "obtusable n-sided polygon" according to the different relations of the n sides a1,a2,…,an,and then the precise formula for the maximal area Fn,max of the "rightable n-sided polygon" are established.For the maximal area Fn,max of "acutable n-sided polygon" and "obtusable n-sided polygon",the numerical algorithms based on the "bisection method" are respectively established.更多还原