导数介值定理就是达布定理,两者等同
即9x*x+8mx+2m*m-2=0 但判别式》=0 -3《=m《=3
x1+x2=-8/9 x1*x2=(2m*m-2)/9
y1+y2=2(x1+x2)+2m=2m-16/9 y1*y2=(2x1+m)(2x2+m)=m*m+4/9(2m*m-2)-m*16/9
ab*ab=(x1-x2)^2+(y1-y2)^2=((x1+x2)^2-4x1x2)+((y1+y2)^2-4y1*y2)带入化简ab=(根下(680-360m*m))/9
1显然m=1 ab=8*根下5/9
2.=(根下(680-360m*m))/9=2 m=根下(89/90)
3.OA垂直OB,即x1*x2+y1*y2=0
即19/9m*m-16/9m-10/9=0
求出m