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本文给出2010年全国高中数学联赛广东省预赛解答题第3题的一个另证.题目设非负实数a,b,c满足a+b+c=1,求证:9abc≤ab+bc+ac≤1/4(1+9abc).
In this paper, we give a separate proof of Question 3 of Guangdong Province Preliminary Contest in 2010 in the National High School Maths League. The subject is that nonnegative real numbers a, b and c satisfy a + b + c = 1, and prove: 9abc≤ab + bc + ac ≤1 / 4 (1 + 9abc).