Các câu hỏi tương tự
Cho \(a,b,c>0\).Chứng minh \(\frac{a^2}{2a+3b}+\frac{b^2}{2b+3c}+\frac{c^2}{2c+3a}\ge\frac{a+b+c}{5}\)
Cho 3 số dương a,b,c. CMR: \(\frac{1}{a+3b}+\frac{1}{b+3c}+\frac{1}{c+3a}\ge\frac{1}{a+2b+c}+\frac{1}{b+2c+a}+\frac{1}{c+2a+b}\)
Cho a,b,c>0.
Cm:\(\frac{1}{a+3b}+\frac{1}{b+3c}+\frac{1}{c+3a}\ge\frac{1}{2a+b+c}+\frac{1}{a+2b+c}+\frac{1}{a+b+2c}\)
cho a;b;c là các số thực dương thỏa mãn abc=1.CMR:\(\frac{1}{2a^3+3a+2}+\frac{1}{2b^3+3b+2}+\frac{1}{2c^3+3c+2}\ge\frac{3}{7}\)
cho a,b,c >=0 tm abc=1
cmr \(\frac{1}{2a^3+3a+2}\) +\(\frac{1}{2b^3+3b+2}+\frac{1}{2c^3+3c+2}\ge\frac{3}{7}\)
Cho a,b,c lớn hơn 0
CMR : \(\frac{ab}{a+3b+2c}+\frac{bc}{b+3c+2a}+\frac{ac}{c+3a+2b}\le\frac{a+b+c}{6}\)
Chứng minh rằng với mọi a,b,c>0 ta có:
\(\frac{ab}{a+3b+2c}+\frac{bc}{b+3c+2a}+\frac{ca}{c+3a+2b}\le\frac{a+b+c}{6}\)
chờ a, b,c, là các số dương
cmr \(\frac{1}{a+3b}\) \(+\frac{1}{b+3c}+\frac{1}{c+3a}\ge\frac{1}{2a+b+c}+\frac{1}{a+2b+c}+\frac{1}{a+b+2c}\)
Khó quá!
Cho \(a,b,c>0\). Chứng minh rằng:
\(\frac{a^4}{3a^3+2b^3}+\frac{b^4}{3b^3+2c^3}+\frac{c^4}{3c^3+2a^3}\ge\frac{a+b+c}{5}\)