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Simulation test paper for senior high school entrance examination in mathematics
? S△FMG=S△FCG-S△FCM

△FMC∽△DME,FC: AE = 3: 10 = H 1: H 2,H 1+ H 2=8,H 1=24/ 13。

△FMC FC=3,S△FMC=36/ 13。

△FCG∽△HGA similarity ratio =3:4, and the same height PG=24/7.

S△FCG=36/7

∴s△fmg=s△fcg-s△fcm=36/7-24/7= 12/7