Question

Cho dãy tỉ số = nhau: \(\frac{ab}{b}=\frac{bc}{c}=\frac{ca}{a}\)

CMR: a=b=c

Answer 1

\(\frac{ab}{b}=a.\frac{b}{b}=a.1=a\)

\(\frac{bc}{c}=b.\frac{c}{c}=b.1=b\)

\(\frac{ca}{a}=c.\frac{a}{a}=c.1=c\)

Mà vì: \(\frac{ab}{a}=\frac{bc}{c}=\frac{ca}{a}\)

\(\Rightarrow a=b=c\)

Answer 2

\(\frac{ab}{b}=\frac{bc}{c}=\frac{ca}{a}=ab\div b=bc\div c=ca\div a\)

\(\Rightarrow a=b=c\)

Answer 3

Từ \(\frac{ab}{b}=\frac{bc}{c}=\frac{ca}{a}\Rightarrow a=b=c\)

Zậy đpcm.

Answer 4

đề

\(\Rightarrow\)\(\frac{abc}{bc}\)= \(\frac{abc}{ac}\)=\(\frac{abc}{ab}\)

\(\Rightarrow\)a=b=c