Question

8、與函數(shù)y=|x+3|的圖象關(guān)于直線(xiàn)x=-1對(duì)稱(chēng)的函數(shù)圖象所對(duì)應(yīng)的函數(shù)解析式是

y=|x-5|

．

Answer 1

分析：先由函數(shù)y=|x+3|的圖象得出其對(duì)稱(chēng)軸，欲求與函數(shù)y=|x+3|的圖象關(guān)于直線(xiàn)x=-1對(duì)稱(chēng)的函數(shù)圖象所對(duì)應(yīng)的函數(shù)解析式，關(guān)鍵是求出其對(duì)稱(chēng)軸方程即可．

解答：解：因?yàn)?3對(duì)應(yīng)的點(diǎn)關(guān)于直線(xiàn)x=-1對(duì)稱(chēng)的點(diǎn)是5，
∴與函數(shù)y=|x+3|的圖象關(guān)于直線(xiàn)x=-1對(duì)稱(chēng)的函數(shù)圖象所對(duì)應(yīng)的函數(shù)解析式是y=|x-5|
故答案是y=|x-5|．

點(diǎn)評(píng)：本題主要考查了絕對(duì)值函數(shù)的圖象和圖象變化及數(shù)形結(jié)合思想，屬于基礎(chǔ)題．