解:?$(1)$?將點(diǎn)?$(3,$??$1)$?代入?$y_1=x+b$?得,?$b=-2$?
將點(diǎn)?$(3,$??$1)$?代入?$y_2=\frac kx$?得,?$k=3$?
∴函數(shù)表達(dá)式為?$y_1=x-2,$??$y_2=\frac 3x$?
?$(2) $?當(dāng)?$ x>3 $?時(shí),?$ y_1>y_2 ,$? 理由如下:
當(dāng)?$ x=3 $?時(shí),?$ y_1 =y_2=1 $?
又 ∵當(dāng)?$ x>3 $?時(shí),?$ y_1 $?隨?$ x $?的增大而增大,?$ y_2 $?隨?$ x $?的增大而減小
∴當(dāng)?$ x>3 $?時(shí),?$y_{1}>y_{2}.$?