math brain teaser

Suppose f is a function from real plane to real number (namely R^2->R), on any equilateral triangle ABC, f(A) + f(B) + f(C) = 0, prove that f is zero on any point.

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给定任意点,构造一个正六边形使其为其中一顶点 -继往开来- 给 继往开来 发送悄悄话 (196 bytes) () 03/26/2010 postreply 21:06:11

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