Các câu hỏi tương tự
Bài 1 : a) CMR : nếu \(\frac{a}{b}=\frac{b}{c}=\frac{c}{a}\)thì \(a=b=c\)
b) CMR : nếu \(\frac{a}{b}=\frac{c}{d}=\frac{p}{q}\)thì \(\frac{ma+nc+ep}{mb+nd+eq}=\frac{a}{b}=\frac{c}{d}=\frac{p}{q}\)
a) CMR: Nếu\(\frac{a}{b}=\frac{c}{d}\)thì\(\frac{a}{b}=\frac{a+c}{b+d}\)
b) Cho\(\frac{a+b}{a-b}=\frac{c+a}{c-a}\). CMR: a2 = bc
CMR
Nếu \(\frac{a}{b}< \frac{c}{d}\) (b,d>0) thì \(\frac{a}{b}< \frac{a+c}{b+d}< \frac{c}{d}\)
CMR nếu \(\frac{a}{b}=\frac{c}{d}\)thì \(\left(\frac{a-b}{c-d}\right)^4=\frac{a^4+b^4}{c^4+d^4}\)
CMR nếu: (x + y - c - d)(a - b - c - d) = (a+b - c - d)(a-b+c+d) thì \(\frac{a+b}{a-b}=\frac{c-d}{c+d}\)
Cho hai số hữu tỉ\(\frac{a}{b}\)và\(\frac{c}{d}\)(b>0,d>0).CMR
a,Nếu \(\frac{a}{b}< \frac{c}{d}\)thì ad<bc
b,Nếu ad<bc thì\(\frac{a}{b}< \frac{c}{d}\)
CMR: nếu\(\frac{a}{b}=\frac{c}{d}thì\frac{a^2+b^2}{c^2+d^2}=\frac{ab}{cd}\)
cmr nếu \(\frac{a}{b}=\frac{c}{d}\)
thì: \(\frac{a^2+c^2}{b^2+d^2}=\frac{\left(a+c\right)^2}{\left(b+d\right)^2}\)(b+d khác 0)
CMR: Nếu \(\frac{a}{b}=\frac{c}{d}\)thì \(\frac{a^n+b^n}{c^n+d^n}=\frac{a^n-b^n}{c^n-d^n}\)với n thuộc N.