作业帮假设a,b,c是正实数.a^2 + b^2 + c^2 + (a + b + c)^2 ≤ 4.请证明3≤ [(ab+1)/(a+b)^2]+[(bc+1)/(b+c)^2]+[(ca+1)/(c+a)^2]
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![假设a,b,c是正实数.a^2 + b^2 + c^2 + (a + b + c)^2 ≤ 4.请证明3≤ [(ab+1)/(a+b)^2]+[(bc+1)/(b+c)^2]+[(ca+1)/(c+a)^2]](/uploads/image/z/11496588-60-8.jpg?t=%E5%81%87%E8%AE%BEa%2Cb%2Cc%E6%98%AF%E6%AD%A3%E5%AE%9E%E6%95%B0.a%5E2+%2B+b%5E2+%2B+c%5E2+%2B+%28a+%2B+b+%2B+c%29%5E2+%E2%89%A4+4.%E8%AF%B7%E8%AF%81%E6%98%8E3%E2%89%A4+%5B%28ab%2B1%29%2F%28a%2Bb%29%5E2%5D%2B%5B%28bc%2B1%29%2F%28b%2Bc%29%5E2%5D%2B%5B%28ca%2B1%29%2F%28c%2Ba%29%5E2%5D)
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假设a,b,c是正实数.a^2 + b^2 + c^2 + (a + b + c)^2 ≤ 4.请证明3≤ [(ab+1)/(a+b)^2]+[(bc+1)/(b+c)^2]+[(ca+1)/(c+a)^2]
假设a,b,c是正实数.a^2 + b^2 + c^2 + (a + b + c)^2 ≤ 4.请证明
3≤ [(ab+1)/(a+b)^2]+[(bc+1)/(b+c)^2]+[(ca+1)/(c+a)^2]
假设a,b,c是正实数.a^2 + b^2 + c^2 + (a + b + c)^2 ≤ 4.请证明3≤ [(ab+1)/(a+b)^2]+[(bc+1)/(b+c)^2]+[(ca+1)/(c+a)^2]
额,难啊
？