这图真娱乐= =
延长DE,AB交于F点
CE=BE
CED=BEF
AB平行CD 则DCE=EBF
则CED全等于BEF
CD=BF
S CED= S BEF
S CED+ SABE =S AEF
S AEF =1/2H1/2(AB+CD)=1/2H(AB+BF)1/2
梯形=1/2H(AB+CD)
BF=CD
AEF=1/2梯形
则S ADE为1/2梯形面积
这图真娱乐= =
延长DE,AB交于F点
CE=BE
CED=BEF
AB平行CD 则DCE=EBF
则CED全等于BEF
CD=BF
S CED= S BEF
S CED+ SABE =S AEF
S AEF =1/2H1/2(AB+CD)=1/2H(AB+BF)1/2
梯形=1/2H(AB+CD)
BF=CD
AEF=1/2梯形
则S ADE为1/2梯形面积