《数学教学》2013年第8期刊登了王淼生老师的文章《数学美本质上终究是简单》,文章从一个简单事实x2≥0(x∈R)出发,令x=a-b2,得到一个命题:a2b≥a-b4(b>0),当且仅当a=12b时取等号,并用之漂亮地解决了一些国内外的名题,笔者很受启发.经过深入研究,笔者发现了一个更一般的结论:命题对任意实数x,k,y>0,恒有(x-ky)2≥ In the 8th issue of “Mathematics Teaching” in 2013, published in the article “The beauty of mathematics is essentially simple in nature”, the article starts from a simple fact x2 ≥ 0 (x ∈ R), so that x = a-b2, get a proposition :a2b≥a-b4(b>0). If and only if a=12b, we take the equal sign and use it to solve some famous questions at home and abroad. The author is very inspired. After thorough research, the author discovered a More general conclusions: propositions for arbitrary real numbers x, k, y> 0, constant (x-ky) 2≥