⑴ f(x)=(x^2-4x+5)/(2x-4) =((x-2)^2+1)/(2(x-2)) =(x-2)/2+1/(2(x-2)) 当 (x-2)/2=1/(2(x-2))时有最小值即当x=3时,有最小值=2*√((x-2)/2*1/(2(x-2))) =2*1/2=1
⑵ 1/a+1/b+1/c
=(a+b+c)/a+(a+b+c)/b+(a+b+c)/c
=1+(b+c)/a+1(a+c)/b+1(a+b)/c
=3+b/c+c/b+a/c+c/a+a/b+b/a
>=3+2+2+2
=9