\(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}=\frac{a+b+c}{b+c+d}\)
\(\Rightarrow\left(\frac{a+b+c}{b+c+d}\right)^3=\frac{a}{b}.\frac{b}{c}.\frac{c}{d}=\frac{a}{d}\)
=>đpcm
Cho \(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}\). Cmr: \(\left(\frac{a+b+c}{b+c+d}\right)^3=\frac{a}{d}\)
Cho \(\frac{a}{b}\)=\(\frac{c}{d}\)
a)C/m \(\frac{a-b}{b}\)=\(\frac{c-d}{d}\)
b)C/m \(\frac{a+2c}{b-2d}\)=\(\frac{3a-4c}{3b-4d}\)
c)\(\frac{\left(a+b\right)^3}{a^3+b^3}\)=\(\frac{\left(c+d\right)^3}{c^3+d^3}\)
Cho \(\frac{a}{b}=\frac{c}{d}\)
cmr : \(\left(\frac{a+b}{c+d}\right)^2=\frac{a^2+b^2}{c^2+d^2}\)
1 Cho \(\frac{a}{b}=\frac{c}{d}\)
CMR: a, \(\left(\frac{a-b}{c-d}\right)^2=\frac{ab}{cd}\)
Cho \(\frac{a}{b}=\frac{c}{d}\)
cmr : \(\left(\frac{a+b}{c+d}\right)^2=\frac{a^2+b^2}{c^2+d^2}\)
Cho bốn số \(a;b;c;d\in Z\)Chứng minh rằng nếu \(\frac{a}{b}=\frac{c}{d}\)thì\(\frac{a+b-c-d}{a-b-c+d}-\frac{2\left(b+d\right)}{\left(a+c\right)+\left(b+d\right)}=1\)
Cho hai phân số \(\frac{a}{b}=\frac{c}{d}\). CMR \(\left(\frac{a-b}{c-d}\right)^4\)\(=\frac{a^4+b^4}{c^4+d^4}\)
Cho: \(\frac{a}{b}\)=\(\frac{b}{c}\)=\(\frac{c}{d}\). C/m: \(\left(\frac{a+b+c}{b+c+d}\right)^3\)=\(\frac{a}{d}\)
Bài 5: cho \(\frac{a}{b}=\frac{c}{d}\)
Chứng mình rằng
b) \(\frac{a}{b}=\frac{a^2-b^2}{c^2-d^2}=\frac{a^2+b^2}{c^2+d^2}=\frac{\left(a+b\right)^2}{\left(c+d\right)^2}\)
giải nhanh giúp mình với mai nộp rồi cảm ơn mình tick cho
