IMO Shortlist 1994 problem G2


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 6,0
Dodao/la: arhiva
2. travnja 2012.
LaTeX PDF
ABCD is a quadrilateral with BC parallel to AD. M is the midpoint of CD, P is the midpoint of MA and Q is the midpoint of MB. The lines DP and CQ meet at N. Prove that N is inside the quadrilateral ABCD.
Izvor: Međunarodna matematička olimpijada, shortlist 1994