5. Let ABCD be a cyclic quadrilateral. Let F be the midpoint of the arc
school in the top right hand corner.
AB of its circumcircle which does not contain C or D. Let the lines
• Complete the cover sheet provided and attach it to
DF and AC meet at P and the lines CF and BD meet at Q. Prove
the front of your script, followed by your solutions
that the lines P Q and AB are parallel.
in question number order.
• Staple all the pages neatly together in the top left
Bạn đang xem 5. - ĐỀ THI OLYMPIC TOÁN HỌC QUỐC TẾ BMO NĂM 2015
