Các câu hỏi tương tự
Cho tỉ lệ thức \(\frac{a}{b}=\frac{c}{d}\).Hãy suy ra :
a/ \(\frac{a+c}{b+d}=\frac{a-c}{b-d}\)
b/\(\frac{2a+3c}{2d+3d}=\frac{2a-3c}{2b-3d}\)
c/ \(\frac{a^2+c^2}{b^2+d^2}=\frac{ac}{bd}\)
Cho a , b ,c ,d thỏa mãn : \(\frac{a}{a+2b}=\frac{c}{c+2d}\). Tính \(\frac{a^2d^2-4b^2c^2}{abcd}\)
Cho a ,b ,c , d thỏa mãn : \(\frac{2a+3c}{2b+3d}=\frac{3a-4c}{3b-4d}\).. Tính \(\frac{4a^3d^3-b^3c^3}{4b^3c^3-a^3d^3}\)
1.CHO \(\frac{2A+3C}{2B+3D}=\frac{2X-3C}{2B-3D}CMR:\frac{A}{B}=\frac{C}{D}\)
Tim\(\frac{a}{b}=\frac{c}{d}CMR\frac{a}{b}=\frac{c}{d}=\frac{2a-3c}{2b-3d}\)
cho tỉ lệ thức ;\(\frac{a}{b}=\frac{c}{d}\). Chứng minh rằng ;
a/\(\frac{a+b}{b}=\frac{c+d}{d}\)
b/\(\frac{a}{a+b}=\frac{c}{c+d}\left(a+b#0;c+d#0\right)\)
c/\(\frac{2a+3c}{2b+3d}=\frac{2a-3c}{2b-3b}\left(2b+3d\ne0;2b-3d\ne0\right)\)
Cho \(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}=\frac{d}{a}\) \(\left(a,b,c,d\ne0;a+b+c+d\ne0\right)\)
Tính: \(M=\frac{3a-2b}{c+d}+\frac{3b-2c}{d+a}+\frac{3c-2d}{a+b}+\frac{3d-2a}{b+c}\)
Bài 2: Từ \(\frac{a}{b}=\frac{c}{d}\)hãy chứng minh: \(\frac{a}{b}=\frac{c}{d}=\frac{2a-3c}{2b-3d}\)
\(Cho\) \(\frac{a}{b}=\frac{c}{d}\)
\(CMR:\)\(a,\frac{5a-3b}{3a+2b}=\frac{5c-3d}{3c+2d}\)
\(b,\frac{2a+b}{a-2b}=\frac{2c+d}{c-2d}\)
cho a,b,c,d thỏa mãn: \(\frac{2a+3c}{2b+3d}\)=\(\frac{3a-4c}{3b-4d}\). Tính \(\frac{4a^3d^3-b^3c^2}{4b^3c^3-a^3d^3}\)