As shown in the figure, in the plane rectangular coordinate system xoy, given the point a (2,3), the line AB is perpendicular to the Y axis, and the perpendicular foot is B. rotate the line AB counterclockwise around the point a The intersection of the line BC and the x-axis is at point D (1) Try to find out the coordinates of point D (2) Let a straight line ad intersect Y-axis at point h, and there is a moving point P on y-axis, and move from point h to point B. let a line segment pH be long T, cross point P as Mn ∥ x-axis, intersect a straight line BC at m, intersect a straight line ad at n. if the length of a line segment Mn is y, use an algebraic formula containing T to express y

As shown in the figure, in the plane rectangular coordinate system xoy, given the point a (2,3), the line AB is perpendicular to the Y axis, and the perpendicular foot is B. rotate the line AB counterclockwise around the point a The intersection of the line BC and the x-axis is at point D (1) Try to find out the coordinates of point D (2) Let a straight line ad intersect Y-axis at point h, and there is a moving point P on y-axis, and move from point h to point B. let a line segment pH be long T, cross point P as Mn ∥ x-axis, intersect a straight line BC at m, intersect a straight line ad at n. if the length of a line segment Mn is y, use an algebraic formula containing T to express y

The coordinates of point D are (3,0), B (0,3), and rotate to C (2,1). I didn't read the second question completely. Because I'm currently studying for a doctor, I'm very busy and don't have much time to answer it online. I'm very sorry
The equation of straight line ad: y = - 3x + 9
The equation of straight line BD: y = - x + 3, the coordinate of P point is (0,9-t)
So the coordinates of M are (t-6,9-t) and the coordinates of N are (T / 3,9-t)
So the length of Mn is y = t / 3 - (T-6) = 2T / 3 + 6