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关于半径为Ｒ的圆内接正ｎ边形所有对角线和边长的 2 ｐ ( ｐ∈Ｎ)次方幂的和 ,文[1 ]研讨了 ｐ ｎ且ｎ为大于 3的偶数时的情形 ,文 [2 ]进一步得到 ｐ ｎ时的情形 ,但当 ｐ≥ｎ时的情形 ,没有解决 ,本文给出 ｐ∈Ｎ时的情形 .引理 设ｄ表示半径为Ｒ的圆内接正ｎ边形Ａ1Ａ2
Regarding the sum of the 2 p (p∈N) powers of all diagonals and side lengths of a circle with radius R inscribed in a positive n-edge, the paper [1] studied p n and n is an even number greater than three. The case [2] further obtains the case of p n , but when p ≥ n, the situation is not solved. This paper gives the case when p ∈ N. Lemma Let d denote a circle with a radius of R and int n Edge A1A2