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As shown above, F(1,0)F(1,0)F(1,0) is the focus of the parabola C:y2=4xC: y^2=4xC:y2=4x, line l:y=k(x−1)l: y=k(x-1)l:y=k(x−1) intersects with CCC at point A,BA,BA,B, and the perpendicular bisector of ABABAB intersects with CCC at point M,NM,NM,N.
If A,M,B,NA,M,B,NA,M,B,N are on the same circle, then find the value of ⌊1000∣k∣⌋\lfloor 1000|k| \rfloor⌊1000∣k∣⌋.
Have a look at my problem set: SAT 1000 problems
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