解:解方程組?$\begin{cases}{y=x-2}\\{y=2x^2-5x+2}\end{cases},$?解得?$\begin{cases}{x_{1}=1}\\{y_{1}=-1}\end{cases},$?或?$\begin{cases}{x_{2}=2}\\{y_{2}=0}\end{cases}$?
∴一次函數(shù)?$y=x-2$?的圖像與二次函數(shù)?$y=2x^2-5x+2$?的圖像有兩個(gè)交點(diǎn),
交點(diǎn)坐標(biāo)為?$(1,$??$-1)$?和?$(2,$??$0)$?
解方程組?$\begin{cases}{y=-x}\\{y=2x^2-5x+2}\end{cases},$?解得?$\begin{cases}{x_{1}=x_{2}=1}\\{y_{1}=y_{2}=-1}\end{cases}$?
∴一次函數(shù)?$y=-x$?的圖像與二次函數(shù)?$y=2x^2-5x+2$?的圖像只有一個(gè)交點(diǎn),交點(diǎn)坐標(biāo)為?$(1,$??$-1)$?
解方程組?$\begin{cases}{y=-x+1}\\{y=2x^2-5x+2}\end{cases},$?方程組無(wú)解
∴一次函數(shù)?$y=-x-1$?的圖像與二次函數(shù)?$y=2x^2-5x+2$?的圖像沒(méi)有交點(diǎn)