(1) Please draw a plane rectangular coordinate system, and draw a (0,1), B (2,0), C (4,3) these three points, (2) find the area of △ ABC (3) Suppose that point P is on the coordinate axis, and the area of △ ABP and △ ABC is equal, then the coordinate of point P is obtained Mainly the third question,

(2) Make CD ⊥ X axis, CE ⊥ Y axis
∵A（0,1）、B（2,0）、C（4,3）
S △ ABC = s rectangular odce - s △ OAB - s △ BDC - s △ ace
=3x4-1x2/2-2x4/2-2x3/2=4
(3) When p is on the y-axis
∵ ob = 2, s △ ABP = s △ ABC = 4, straight line ob ⊥ straight line AP
∴OP=4X2/2=4 ,p1（0,5）P2（0,-3）
When p is on the x-axis
∵ OA = 1, s △ ABP = s △ ABC = 4, straight line OA ⊥ straight line BP
∴OP=4x2/1=8,P3（10,0）P4（-6,0）
Terminal P1 (0,5) P2 (0, - 3) P3 (10,0) P4 (- 6,0)

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