如图,在梯形ABCD中,AD∥BC,对角线AC、BD交于点O,点E在AB上,且EO∥BC,已知AD=3,BC=6.求EO的长.

问题描述:

如图,在梯形ABCD中,AD∥BC,对角线AC、BD交于点O,点E在AB上,且EO∥BC,已知AD=3,BC=6.求EO的长.

∵AD∥BC,

AO
OC
AD
BC

∵AD=3,BC=6,
AO
OC
AD
BC
1
2

AO
AC
1
3

∵EO∥BC,
EO
BC
AO
AC

EO
6
1
3

∴EO=2.