[mathrm{Golden} mathrm{Th}: ext{对于过}left( x_1,y_1
ight) left( x_2,y_2
ight) left( x_3,y_3
ight) ext{三点的抛物线}y=aleft( x+m
ight) ^2+k
\
egin{cases}
m=frac{frac{x_2^2-x_3^2}{y_2-y_3}-frac{x_1^2-x_2^2}{y_1-y_2}}{2left( frac{x_1-x_2}{y_1-y_2}-frac{x_2-x_3}{y_2-y_3}
ight)}\
a=frac{y_1-y_2}{left( x_1-x_2
ight) left( x_1+x_2+2m
ight)}\
k=y_1-aleft( x_1+m
ight) ^2\
end{cases}
]