20 14 math problems in Yangzhou senior high school entrance examination
Analysis: Connect AC, get ∠ BAC = 30 through triangle congruence, then get the length of BC, and then get the length of CM according to Pythagorean theorem.
Connect MN, so that ME⊥ON E passes through point M, then △MNA is an equilateral triangle to get MN=2, let NE=x represent CE, get ME according to Pythagorean theorem, and then get tan∠MCN. ..