一道数学题:若a,b,c都是正数,求证,√2(a+b+c) ≤√a2+b2 +√b2+c2 +√c2+a2<2(a+b+c)本题利用代数方法做很难,我们应用勾股定理,运用数形结合思想,构造图形,如正方形,我指的是特殊的,例如
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![一道数学题:若a,b,c都是正数,求证,√2(a+b+c) ≤√a2+b2 +√b2+c2 +√c2+a2<2(a+b+c)本题利用代数方法做很难,我们应用勾股定理,运用数形结合思想,构造图形,如正方形,我指的是特殊的,例如](/uploads/image/z/2507608-64-8.jpg?t=%E4%B8%80%E9%81%93%E6%95%B0%E5%AD%A6%E9%A2%98%EF%BC%9A%E8%8B%A5a%2Cb%2Cc%E9%83%BD%E6%98%AF%E6%AD%A3%E6%95%B0%2C%E6%B1%82%E8%AF%81%2C%E2%88%9A2%28a%2Bb%2Bc%29+%E2%89%A4%E2%88%9Aa2%2Bb2+%2B%E2%88%9Ab2%2Bc2+%2B%E2%88%9Ac2%2Ba2%EF%BC%9C2%28a%2Bb%2Bc%29%E6%9C%AC%E9%A2%98%E5%88%A9%E7%94%A8%E4%BB%A3%E6%95%B0%E6%96%B9%E6%B3%95%E5%81%9A%E5%BE%88%E9%9A%BE%EF%BC%8C%E6%88%91%E4%BB%AC%E5%BA%94%E7%94%A8%E5%8B%BE%E8%82%A1%E5%AE%9A%E7%90%86%EF%BC%8C%E8%BF%90%E7%94%A8%E6%95%B0%E5%BD%A2%E7%BB%93%E5%90%88%E6%80%9D%E6%83%B3%EF%BC%8C%E6%9E%84%E9%80%A0%E5%9B%BE%E5%BD%A2%EF%BC%8C%E5%A6%82%E6%AD%A3%E6%96%B9%E5%BD%A2%EF%BC%8C%E6%88%91%E6%8C%87%E7%9A%84%E6%98%AF%E7%89%B9%E6%AE%8A%E7%9A%84%EF%BC%8C%E4%BE%8B%E5%A6%82)
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