∴tan∠BAC =√3
∴∠BAC =60
Similarly ∠ ACB = 30
If △ABC is similar to △ABP,
There are four situations.
(1)P is on the extension line of CB, and BP/AB =1√ 3. At this time, the coordinates of point P are (1, 4/3 √ 3).
(2)P is on the extension line of CB, BP/AB=√3, and the coordinate of point P is (3,2 √ 3).
(3)P is on CB, BP/AB =1√ 3, and the coordinate of point P is (-1, 2/3 √ 3).
(4)P is on CB, BP/AB√3, and the coordinate of point P is (-3,0).