Make a straight line with a slope of 45 degrees through the focus f with the square of parabola y = 4x, intersect the parabola at two points a and B, and find the distance from the midpoint C of AB to the parabola collimator

Make a straight line with a slope of 45 degrees through the focus f with the square of parabola y = 4x, intersect the parabola at two points a and B, and find the distance from the midpoint C of AB to the parabola collimator

From the parabolic equation y ^ 2 = 4x, the Quasilinear equation of the parabola is obtained as follows: x = - 1, and the focal coordinates of the parabola are (1,0). The linear equation passing through the focal point of the parabola with an inclination angle of 45 ° is y = (x-1) Tan 45 ° = X-1. ∵ A and B on the straight line y = X-1, we can assume that the coordinates of a and B are (m, m-1), (n,...)