如图,在梯形ABCD中,AD∥BC,对角线AC、BD相交于点O,若S
△AOD:S
△ACD=1:3,则S
△AOD:S
△BOC=______;若S
△AOD=1,则梯形ABCD的面积为______.
(1)∵△AOD和△DOC中AO和CO边上的高相等,S△AOD:S△ACD=1:3,∴AOCO=12,∵AD∥BC,∴△ADO∽△CBO,∴ADBC=AOCO=12,∴S△AOD:S△BOC=1:4,(2)∵S△AOD:S△ACD=1:3,∴AO:OC=1:2,∴S△AOD:S△BOC...