24. As shown in figure 1, ∠ mON = 60, point A and point B are moving points on the ray OM, ON (point A and point B do not coincide with point O), AB=, there is a little P outside △AOB in ∠ mON, AP=BP, ∠ APB = 656.

(1) Find the length of AP;

(2) Verification: Point P is on the bisector of ∠MON;

(3) As shown in Figure ②, points C, D, E and F are the midpoints of sides AO, OB, BP and PA of the quadrilateral AOBP, which connect CD, DE, EF, FC and OP respectively.

(1) AB ⊥ OP, please write the perimeter value of quadrilateral CDEF directly;

② If the perimeter of the quadrilateral CDEF is represented by t, please write the range of t directly.

24. solution: (1) let PQ⊥AB pass through point p pa = pb and ∠ APB = 120 AB = 4.

(3) ①8+4, ③ 24+4, ③ < t ≤ 8+4, ③