Violympic toán 9
Các câu hỏi tương tự
Cho a, b, c > 0. Chứng minh rằng: \(2\left(\frac{a}{b+2c}+\frac{b}{c+2a}+\frac{c}{a+2b}\right)\ge1+\frac{b}{b+2a}+\frac{c}{c+2b}+\frac{a}{a+2c}\)
Cho a,b,c > 0. CMR:
\(2\left(\frac{a}{b+2c}+\frac{b}{c+2a}+\frac{c}{a+2b}\right)\ge1+\frac{b}{b+2a}+\frac{c}{c+2b}+\frac{a}{a+2c}\)
Cho a,b,c > 0 . CMR : \(2\left(\frac{a}{b+2c}+\frac{b}{c+2a}+\frac{c}{a+2b}\right)\)≥\(1+\frac{b}{b+2a}+\frac{c}{c+2b}+\frac{a}{a+2c}\)
Cho a,b,c >0
Chứng minh : \(\frac{a}{b+2c}+\frac{b}{c+2a}+\frac{c}{a+2b}\)≥\(1+\frac{b}{b+2a}+\frac{c}{c+2b}+\frac{a}{a+2c}\)
( Nếu có sai đề thì làm ơn sửa lại đề nhé mấy bạn , tks )
Cho a, b, c > 0. Chứng minh \(\frac{a}{2a+b+c}+\frac{b}{a+2b+c}+\frac{c}{a+b+2c}\le\frac{3}{4}\)
Cho a,b,c > 0.CMR:
a, \(\frac{1}{a}+\frac{1}{b}\ge\frac{4}{a+b}\)
b, \(2\left(\frac{a}{b+2c}+\frac{b}{c+2a}+\frac{c}{a+2b}\right)\ge1+\frac{b}{b+2a}+\frac{c}{c+2b}+\frac{a}{a+2c}\)
Cho \(a,b,c>0\). Chứng minh rằng: \(\frac{a}{b+2c}+\frac{b}{c+2a}+\frac{c}{a+2b}\ge1\)
cho a=<b=<c=<0. chứng minh rằng \(\frac{2a^2}{b+c}+\frac{2b^2}{c+a}+\frac{2c^2}{a+b}\le\frac{a^2}{b}+\frac{b^2}{c}+\frac{c^2}{a}\)
Cho a,b,c>0 , chứng minh rằng:
\(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\ge3\left(\frac{1}{a+2b}+\frac{1}{b+2c}+\frac{1}{c+2a}\right)\)