Question

cho a/2b = b/2c = c/2d = d/2a (a,b,c,d>0) .Tinh A = 2011a-2010b/c+d + 2011b-2010c/a+d + 2011c-2010d/a+b + 2011d-2010a/b+c

Answer 1

\(\frac{a}{2b}=\frac{b}{2c}=\frac{c}{2d}=\frac{d}{2a}=\frac{a+b+c+d}{2a+2b+2c+2d}=\frac{a+b+c+d}{2\left(a+b+c+d\right)}=\frac{1}{2}\)

\(\Rightarrow a=\frac{2b}{2}=b\)                       \(c=\frac{2d}{2}=d\)

\(b=\frac{2c}{2}=c\)                               \(d=\frac{2a}{2}=a\)

\(\Rightarrow a=b=c=d\)

Ta có: \(A=\frac{2011a-2010b}{c+d}+\frac{2011b-2010c}{a+d}+\frac{2011c-2010d}{a+b}+\frac{2011d-2010a}{b+c}\)

\(=\frac{2011a-2010a}{2a}+\frac{2011a-2010a}{2a}+\frac{2011a-2010a}{2a}+\frac{2011a-2010a}{2a}\)

\(=\frac{4a}{2a}=2\)

Answer 2

A ₫ 2 day ban so yeoung cheing nhe. Cac ban kcho mik nha

Answer 3

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222 do nhà bạn gì owi,

Answer 4

thanks thanh

Answer 5

băng 2 nha

Answer 6

yêu mấy bn này ghê hk giỏi quá đi ak

Answer 7

bằng 2