6. Construct two right triangles inscribed in the parabola $y=x^{2}$, with the point $M(1,1)$ on the parabola as the right-angle vertex: Rt $\triangle M A B$ and Rt $\triangle M C D$. Then the coordinates of the intersection point $E$ of line segments $A B$ and $C D$ are $\qquad$
6. $(-1,2)$.

For any point $P\left(x_{0}, y_{0}\right)$ on the parabola $x^{2}=2 p y$, draw perpendicular chords $P A$ and $P B$.
Then $A B$ always passes through the point $\left(-y_{0}, x_{0}+2 p\right)$.
Therefore, $E(-1,2)$.