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Two math problems in the senior high school entrance examination
The first question, if E makes EF parallel to the NC intersection points AB and F, FN=DN, AF=FN, AN:ND=2: 1, connect AM, let S MDN= 1, then SAMM = 2, SAME = 3, so SMDN: S quadrilateral =1.

The second question connects FN, finds FN and NQ through Pythagorean and similarity, then finds CP and PQ similar to EPQ, finds CM:MN through Menelaus theorem, then finds the length of CN through similarity, and finally finds MN= 17/8 and 2.