(1)当x>2,即x-2>0时,x^2/(x-2)＝[(x-2)+2]^2/(x-2)＝[(x-2)^2+4(x-2)+4]/(x-2)＝(x-2)+4/(x-2)+4≥2√[(x-2)·4/(x-2)]+4＝8.∴x-2＝4/(x-2),即x＝4时,所求最小值为：8,此时不存在最大值.(2)x0时,x^2/(x-2)＝-[(2-x)...