The problem of moving points in junior high school in mathematics: ∠ mon = 60 ...................................................................................................................................................... 1)x=8，S= 12

2)y = 1/2AB ops in 60 = 1.5x

3)① If the PA bisector ∠BPO, the distance from A to BP is H = 2 ∠ 3 according to the nature of the angular bisector.

Equal product method of △BAP: 1.5x = 1/2bp 2 √ 3.

∴BP=√3x/2, that is, PB⊥BO at this time.

∴x=2OB=8+4√3

∠BPA= 1/2∠BPO= 15

② Existence, x=2+√3