∵函數(shù)f(x)=2sin（2x+π/3）的圖像向右平移m個(gè)單位,∴m＞0,函數(shù)f(x)=2sin（2x-2m+π/3）∵函數(shù)f(x)=sinX關(guān)于x=π/2對(duì)稱∵f(x)=2sin2X關(guān)于x=π/4對(duì)稱,∴要使函數(shù)f(x)=2sin（2x-2m+π/3）的圖像關(guān)于x=π/2對(duì)稱-2m+π/3...-2m+π/3=-1/4π+k/2π解釋下函數(shù)f(x)=sinX關(guān)于x=π/2對(duì)稱、事實(shí)上關(guān)于x=π/2+kπ（k∈z）對(duì)稱f(x)=2sin2X關(guān)于x=π/4對(duì)稱、事實(shí)上關(guān)于x=π/4+kπ/2（k∈z）對(duì)稱要使函數(shù)f(x)=2sin（2x-2m+π/3）的圖像關(guān)于x=π/2對(duì)稱，只需 -2m+π/3=-1/4π+kπ/2（∵f(x)=2sin2X關(guān)于x=π/4對(duì)稱，∴往右平移π/4即可