∫x 1+x2 = m,x 1? X2 = m-2 < 0, that is, m < 2,
ab = | x 1-x2 | =(x 1+x2)2-4x 1x 2 =
5,
∴m2-4m+3=0.
Solution: m= 1 or m=3 (truncation),
The value of∴ m is 1.
(2) Let M(a, b), then N(-a, -b).
∵M and n are two points on a parabola,
∴-a2+ma-m+2=b…①-a2-ma-m+2=-b…②?
①+②: -2a2-2m+4=0,
∴a2=-m+2,
When m < 2, there are only two points m, n,
∴a=
2 meters.
At this time, the distance from m and n to y axis is 2m,
The coordinate of point C is (0,2-m), and S△MNC=27.
∴2× 12×(2-m)×2-m=27,
∴: The answer is m =-7.