
如图,已知ad‖bc,∠dab的平分线ae和∠abc的平分线be相交于点e,且点e在dc上,试问:(1)ab=ad+bc吗?
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AD//BC so DAB+ABC=180
角平分线AE and BE so EAB+ABE=90 and AEB=90
if EF//AD and F on AB
so FAE=AEF and BEF=FBE so AF=FE=FB=AB/2 and EF是ABCD中位线=(AD+BC)/2
so AB=AD+BC
角平分线AE and BE so EAB+ABE=90 and AEB=90
if EF//AD and F on AB
so FAE=AEF and BEF=FBE so AF=FE=FB=AB/2 and EF是ABCD中位线=(AD+BC)/2
so AB=AD+BC
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