题目
已知:在等腰梯形ABCD中,AD∥BC,AB=DC,对角线AC⊥BD,梯形高为10厘米,那么它的中位线长为______厘米.
提问时间:2021-01-19
答案
过点E作DE∥AC交BC的延长线于点E,作DF⊥BC于F,∴∠BOC=∠BDC,∠DFB=90°.∵AD∥BC,DE∥AC,∴四边形ACED是平行四边形,∴AC=DE.∵梯形ABCD是等腰梯形,AD∥BC,∴AC=BD.∴BD=DE.∵AC⊥BD,∴∠BOC=90°,∴...
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