Ta có \(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}=\frac{d}{a}=\frac{a+b+c+d}{b+c+d+a}=1\)
\(\Rightarrow\frac{a}{b}=1\Rightarrow a=b\)
\(\Rightarrow\frac{c}{d}=1\Rightarrow c=d\)
\(\Rightarrow\frac{b}{c}=1\Rightarrow b=c\)
Vậy a=b=c=d
Cho a/b=b/c=c/d va b+c+d khac 0. CMR a/d=(a+b+c)3/(b+c+d)3
cho \(\frac{a^2+b^2}{c^2+d^2}=\frac{ab}{cd}\) voi a; b; c khac 0 va c khac cong tru d . CMR \(\frac{a}{b}=\frac{c}{d}\)
Cho a+b+c+d khac 0 va a/b+c+d=b/a+c+d=c/a+b+d=d/a+b+c.
Tinh gia tri A= a+b/c+d + b+c/a+d + c+d/a+b + d+a/b+ch
cho a/b=b/c=c/d=d/a va a+b+c khac 0.
Tinh M = 2a-b/c+d + 2b-c/a+d + 2c-d/a+b + 2d-a/b+c
cho a = b + c va c = b + d / b - d ( b ; d khac 0 )
c/m : a / b = c / d
cho a/b= c/d (b,c,d khac 0; c-2d khac 0) CMR :(a-2b)^4/(c-2d)^4=a^4+2017b^4/c^4+2017d^4
chung minh rang tu ti le thuc a/b=c/d (a-b khac 0,c-d khac 0) ta co the suy ra ti le thuc a+b/a-b=c+d/c
ai giai nhanh va dung cho toi hieu toi se tich nguoi do
cmr
a+b/c+d=b+c/d+a trong do a+b+c+d khac 0 thi a=c
Cho mình hoi câu này với nhé:
CMR:nếu a+c=2*b va 2*b*d=c*(b+d) thi a/b=c/d voi b,d khac 0
