解:?$(1)$?由圖像可得,甲行駛了?$4.5$?小時(shí)到達(dá)?$B$?地,乙行駛了
?$6$?小時(shí)到達(dá)?$A$?地
?$(2)$?設(shè)甲距離?$A$?地的路程?$s $?與時(shí)間?$t $?的函數(shù)表達(dá)式為?$s=kt$?
?$4.5k=36$?,得?$k=8$?
即甲距離?$A$?地的路程?$s $?與時(shí)間?$t $?的函數(shù)表達(dá)式為?$s=8t(0≤t≤4.5)$?
設(shè)乙距離?$A$?地的路程?$s $?與時(shí)間?$t $?的函數(shù)表達(dá)式為?$s=at+b$?
?$\begin {cases}{b=36}\\{6a+b=0}\end {cases}$?,得?$\begin {cases}{a=-6}\\{b=36}\end {cases}$?
即乙距離?$A$?地的路程?$s $?與時(shí)間?$t $?的函數(shù)表達(dá)式為?$s=-6t+36$?
?$(3)$?令?$8t=-6t+36$?
解得,?$t=\frac {18}{7}$?
當(dāng)?$t=\frac {18}{7}$?時(shí),?$8t=8×\frac {18}{7}=\frac {144}{7}$?,
即兩個(gè)圖象的交點(diǎn)坐標(biāo)是?$(\frac {18}{7}$?,?$\frac {144}{7})$?,交點(diǎn)坐標(biāo)所表示的實(shí)際意義
是當(dāng)?$t=\frac {18}{7}$?時(shí),甲、乙兩人離?$A$?地的距離都是?$\frac {144}{7}\mathrm {km}.$?