【例题】:(江苏 • 中考)点P(a,b)在函数\(\displaystyle y=3x+2\)的图象上,则代数式\(\displaystyle 6a-2b+1\)的值等于( )
A. 5 B. 3 C. -3 D. -1
【答案】:C
【解析】:把P(a,b)代入函数解析式\(\displaystyle y=3x+2\)得,\(\displaystyle b=3a+2\),即\(\displaystyle 3a-b=-2\)
∴ \(\displaystyle \begin{array}{l}6a-2b+1\\=2\left( {3a-b} \right)+1\\=2\times \left( {-2} \right)+1\\=-3\end{array}\)
