(3) There are three situations between the rotation point P 1 and the line segment EB: ① Point P 1 and the line segment EB form △ P1EB ∴ P1B-EB < P1E < P1.

② point P 1 on the extension line of ray EB P 1E=P 1B+ EB ③ point p1e = p1b-EB ∴ p1b-EB ≤ p/kloc.

Point p at △ABC, BC=6, ∠ ACB = 30 ∵ is the moving point on the line segment AC ∴3≤ P 1B≤6 and ∵BE=2.

1

AB=2

The minimum value of p 1b-EB is 1, and the maximum value of P 1B+ EB is 8.

The maximum length of line segment EP 1 is 8, while the minimum length of EP 1 is 1.