Six, a circle center at the origin, the focus $\mathrm{F}$ is on the $\mathbf{x}$ axis, the line connecting this focus and the vertex $\mathrm{B}(0,2 \sqrt{2})$ has an inclination angle of $135^{\circ}$, find the coordinates of the intersection points of the line passing through $\mathrm{F}$ and perpendicular to $\mathrm{BF}$ with the ellipse.