« Vrati se
Point P lies on side AB of a convex quadrilateral ABCD. Let \omega be the incircle of triangle CPD, and let I be its incenter. Suppose that \omega is tangent to the incircles of triangles APD and BPC at points K and L, respectively. Let lines AC and BD meet at E, and let lines AK and BL meet at F. Prove that points E, I, and F are collinear.

Author: Waldemar Pompe, Poland

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2255IMO Shortlist 2007 problem G70
2254IMO Shortlist 2007 problem G60
2253IMO Shortlist 2007 problem G52
2223IMO Shortlist 2006 problem G75
2168IMO Shortlist 2004 problem G75
2112IMO Shortlist 2002 problem G713