f(x)=(2x+a)/(x+b)=x
x^2+(b-2)x-a=0(x+b>0
b=2,a>0且a≠4
f(x)=(2x+3)/(x+2)
A(√3,√3)B(-√3,-√3)
AB:y=x
x=(2y-3)/(2-y)
yc>2
点c到直线AB距离=(y^2-3)/√2(y-2)=y-2+1/(y-2)+4
y=3时取到最小值3√2
C(-3,3)
差不多这样吧~
f(x)=(2x+a)/(x+b)=x
x^2+(b-2)x-a=0(x+b>0
b=2,a>0且a≠4
f(x)=(2x+3)/(x+2)
A(√3,√3)B(-√3,-√3)
AB:y=x
x=(2y-3)/(2-y)
yc>2
点c到直线AB距离=(y^2-3)/√2(y-2)=y-2+1/(y-2)+4
y=3时取到最小值3√2
C(-3,3)
差不多这样吧~