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文 [1] ,[2 ] ,[3 ]分别对现行高中数学(试验修订本 ·必修 )高二上册Ｐ3 0 第 4题 :已知ａ ,ｂ ,ｃ是不相等的正数 ,求证 2 (ａ3+ｂ3 +ｃ3 ) ａ2 (ｂ +ｃ) +ｂ2 (ｃ +ａ) +ｃ2 (ａ+ｂ) .作了推广 ,受到启发 ,本文作另一种形式的推广 .命题 已知ｘ1 ,ｘ2 ,… ,ｘｎ 为正数 ,(
Articles [1], [2], [3] respectively on the current high school mathematics (experimental revisions required) high two volumes P3 0 Question 4: Know that a, b, c are not equal positive numbers, verification 2 (a3 +b3 +c3 ) a2 (b +c) +b2 (c +a) +c2 (a+b) . It has been generalized and inspired. This paper is another form of generalization. The proposition is known as x1, x2,... , xn is a positive number, (