麻烦大虾们看下这道数学题

2024-11-22 06:13:38
推荐回答(1个)
回答1:

x*x-(2+m)x+2m=p*p-(2+m)p+2m
x*x-p*p-(2+m)(x-p)=
(x-p)(x+p-2-m)=0
x1=p x2=2+m-p
x1x2/2=(2p+mp-p*p)/2 (2+m>p)
=-(p-(2+m)/2)(p-(2+m)/2)/2+(2+m)(2+m)/8
当2p=2+m时Smax=(2+m)(2+m)/8