[ ( x²-2x )/(x²-4) ]÷[(2x)/(x+2)]+(x+2)
=[ x( x-2 )/(x+2)(x-2) ]÷[(2x)/(x+2)]+(x+2)
=[ x )/(x+2) ]×[(x+2)/(2x)]+(x+2)
=1/2+x+2
=1/2+1/2+2
=3
[ ( x²-2x )/(x²-4) ]÷[(2x)/(x+2)]+(x+2)=x( x-2 )×(x+2)/2x(x-2)(x+2)+(x+2)=1/2+x+2=x+3/2
当x=1/2时 原式=1/2+3/2=2