C(0,-3),y(0) = c = -3,y(-1) = 1-3+b(-1) = 0,b = -2
y = x^2 -2x -3 = (x-1)^2 - 4,顶点(1,-4)
D(m,m^2 - 2m - 3),BC直线:x-y-3=0
D到Bc的距离 DE = (-m^2 + 3m)/根号(2)
S -ABCD = S-ABC + S-BCD = 6 + BC*DE = 6 + 3根号(2)* (-m^2+3m)/根号(2)
= -3m^2 + 9m + 6 = -3(m - 3/2)^2 + 51/4
m = 3/2时,S最大 = 51/4