当x=2分之1时,f(x)的最大值为25可以设f(x)=a(x-1/2)^2+25=ax^2-ax+a/4+25=0x1+x2=1x1x2=a/4+25x1^3+x2^3=(x1+x2)(x1^2-x1x2+x2^2)=(x1+x2)((x1+x2)^2-3x1x2)=1-3x1x2=1-3a/4-75=19得a=-124f(x)=-124(x-1/2)^2+25 =-1...