解:?$(1) $?由?$\begin{cases}{y=k}\\{y=\dfrac {k}{x}}\end{cases},$? 解得?$x=1$?
∴點?$A_{0}$?的坐標為?$(1,$??$0) $?
?$(2)$?∵點?$A_{0}、$??$A_{1}、$??$A_{2}$?的橫坐標為連續(xù)的整數(shù)
∴點?$A_{1}、$??$A_{2}$?的坐標為?$(2,$??$0)、$??$(3,$??$0),$?
即點?$B_{1}、$??$B_{2} $?的橫坐標分別為?$2、$??$3$?
代入?$y=\frac {k}{x} $?求得?$A_{1}B_{1}=\frac {k}{2},$??$A_{2}B_{2}=\frac {k}{3}$?
∴?$\frac {C_{1}B_{1}}{A_{1}B_{1}}= \frac {k-\frac {k}2}{\frac {k}2}=1,$?
?$\frac {C_{2}B_{2}}{A_{2}B_{2}}= \frac {k-\frac {k}3}{\frac k{3}}=2 $?
?$(3) \frac {C_nB_n}{A_nB_n}=n$?