要使原函数值域为R,则[ax2+(a-1)x+1/4]能取到(0,+无穷)一切值显然a=0满足上述条件,a<0则不可能满足上述条件当a>0时,若a>=1,可知[ax2+(a-1)x+1/4]不能取到(0,+无穷)一切值若0=0,即0综上,0=