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Mathematics examination paper in the middle of grade three
If EF∨BC intersects with point E and AD intersects with point F, then:

GE/GC=EF/CD

BD=CD, and e is the midpoint of AB.

∴EF/CD=EF/BD= 1/2

∴GE/CE=GE/(GE+GC)= 1/3

When DH∨AB intersects CE at H, GD/AD= 1/3, it can also be proved.

∴GE/CE=GD/AD= 1/3