Question

函數(shù)y=f（x-1）與y=f（-x+3）的圖象關(guān)于_____直線對(duì)稱．

1. A.
   x=1
2. B.
   x=2
3. C.
   x=-1
4. D.
   x=-2

Answer 1

B
分析：根據(jù)函數(shù)y=f（a+x）與函數(shù)y=f（b-x）的圖象關(guān)于直線x=對(duì)稱．得函數(shù)y=f（x-1）的圖象與函數(shù)y=f（3-x）的圖象關(guān)于直線x=對(duì)稱．
解答：因?yàn)楹瘮?shù)y=f（a+x）與函數(shù)y=f（b-x）的圖象關(guān)于直線x=對(duì)稱
所以函數(shù)y=f（x-1）的圖象與函數(shù)y=f（3-x）的圖象關(guān)于直線x=對(duì)稱．
故選B
點(diǎn)評(píng)：本題考查了抽象函數(shù)的對(duì)稱問(wèn)題，關(guān)鍵是知道函數(shù)y=f（a+x）與函數(shù)y=f（b-x）的圖象關(guān)于直線x=對(duì)稱，注意一些常見(jiàn)結(jié)論的總結(jié)．