这类直线型,可多次利用梅涅劳斯定理。
CB/BD*DG/GA*AE/EC=1 => DG/GA=1, GD=1/2AD
BC/CD*DI/IA*FA/BF=1 => DI/IA=1/6, DI=1/7AD, 所以GI=(1-1/2-1/7)AD=5/14AD, DI/IG=2/5,GI=5/7GD
BC/CD*DI/IG*GH/HB=1 => GH/HB=5/4,GH=5/9GB
Sghi=5/9*5/7*Sgbd=25/63*1/2*Sabd=25/252*Sabc => Sabc=252, 选B
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FROM 61.152.216.52