Traditional Culture Encyclopedia - Photography major - (20 14? As shown in the figure, in the plane rectangular coordinate system, point A is the intersection of the parabola y=a(x- 1)2+b and the Y axis, and point B is on this parabola.
(20 14? As shown in the figure, in the plane rectangular coordinate system, point A is the intersection of the parabola y=a(x- 1)2+b and the Y axis, and point B is on this parabola.
Solution: the symmetry axis of parabola y=a(x- 1)2+b is x= 1,
If CD⊥AB is at point D, then AD= 1,
Then AB=2AD=2,
Then AB is equilateral and the circumference of △ABC is 3× 2 = 6.
So the answer is: 6.
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