Các câu hỏi tương tự
1/ cho \(\frac{a}{b}=\frac{c}{d}\)chứng minh rằng:
a) \(\frac{a.b}{c.d}=\frac{\left(a+b\right)^2}{\left(c+d\right)^2}\)
b)\(\frac{a,d}{c.b}=\frac{\left(a+b\right).\left(a-b\right)}{\left(c+d\right).\left(c-d\right)}\)
2/ cho \(a.b=c^2\)chứng minh : \(\frac{a}{b}=\frac{\left(2a+3c\right)^2}{\left(2c+3b\right)^2}\)
Cho\(\frac{a}{b}=\frac{c}{d};\left(a,b,c,d,\right)\)chứng minh\(\frac{a.b}{c.d}=\frac{\left(a+b\right)^2}{\left(c+d\right)^2}\)
Cho tỉ lệ thức \(\frac{a}{b}=\frac{c}{d}\).Chứng minh rằng ;
\(\frac{a.b}{c.d}=\frac{a^2-b^2}{c^2-d^2}\)và \(\left(\frac{a+b}{c+d}\right)^2=\frac{a^2+b^2}{c^2+d^2}\)
Cho \(\frac{a}{b}=\frac{c}{d}\) chứng minh rằng :\(\frac{a.b}{c.d}=\frac{\left(a+b\right)^2}{\left(c+d\right)^2}\)
1) Cho \(\frac{a}{b}=\frac{c}{d}\), chứng minh: \(\frac{a.b}{c.d}=\frac{\left(a+b\right)^2}{\left(c+d\right)^2}\)
2) Cho \(\frac{a}{b}=\frac{b}{c}\), chứng minh \(\frac{a^2+b^2}{b^2+c^2}=\frac{a}{c}\)
Cho tỉ lệ thức: \(\frac{a}{b}=\frac{c}{d}\).Chứng minh:
\(\frac{a.b}{c.d}=\frac{a^2+b^2}{c^2+d^2}\); \(\frac{\left(a+b\right)^3}{\left(c+d\right)^3}=\frac{a^3+b^3}{c^3+d^3}\)
Cho frac{a}{b}frac{c}{d}chứng minh rằnga)frac{a}{a-b}frac{c}{c-d}b)frac{a}{b}frac{a+c}{b+d}c)frac{a}{3a+b}frac{c}{3c+d}d)frac{a.c}{b.d}frac{a^2+c^2}{b^2+d^2}f)frac{a.b}{c.d}frac{left(a-bright)^2}{left(c-dright)^2}
Đọc tiếp
Cho \(\frac{a}{b}\)=\(\frac{c}{d}\)chứng minh rằng
a)\(\frac{a}{a-b}\)=\(\frac{c}{c-d}\)
b)\(\frac{a}{b}=\frac{a+c}{b+d}\)
c)\(\frac{a}{3a+b}=\frac{c}{3c+d}\)
d)\(\frac{a.c}{b.d}=\frac{a^2+c^2}{b^2+d^2}\)
f)\(\frac{a.b}{c.d}=\frac{\left(a-b\right)^2}{\left(c-d\right)^2}\)
Cho
\(\frac{a}{b}=\frac{c}{d}\) Chứng minh \(\frac{a.b}{c.d}=\frac{\left(a+b\right)^2}{\left(c+d\right)^2}\)
Cho \(\frac{a}{b}=\frac{c}{d}.\)Chứng minh.
a)\(\frac{3a+5b}{3a-5b}=\frac{3c+5d}{3c-5d}\)
b)\(\left(\frac{a+b}{c+d}\right)^2=\frac{a^2+b^2}{c^2+d^2}\)
\(\frac{a.b}{c.d}=\frac{\left(a-b\right)^2}{\left(c-d\right)^2}\)