annlee

  1. M

    Toán 10 Bất phương trình

    Cho a,b,c> 0. Chứng minh \frac{a^2b}{ab^2+1}+\frac{b^2c}{bc^2+1}+\frac{c^2a}{ca^2+1}\geq \frac{3abc}{1+abc}
  2. M

    Toán 10 Chứng minh [tex] \sqrt[3]{\frac{a}{b+c}}+\sqrt[3]{\frac{b}{a+c}}+\sqrt[3]{\frac{c}{a+b}}> 2[/tex]

    Cho a,b,c > 0. CMR \sqrt[3]{\frac{a}{b+c}}+\sqrt[3]{\frac{b}{a+c}}+\sqrt[3]{\frac{c}{a+b}}> 2
  3. M

    Toán 10 CMR $ \frac{a^3}{a^2+b^2}+\frac{b^3}{b^2+c^2}+\frac{c^3}{c^2+a^2}\geq \frac{a+b+c}{2} $

    Cho a,b,c >0. CMR \frac{a^3}{a^2+b^2}+\frac{b^3}{b^2+c^2}+\frac{c^3}{c^2+a^2}\geq \frac{a+b+c}{2}
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