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