如图,O为矩形ABCD对角线的交点,DE平行AC,CE平行BD.求证：四边形OCED是菱形.
人气：223 ℃ 时间：2019-11-13 22:41:09
解答
∵DE∥AC,CE∥BD
∴OCED是平行四边形
∵ABCD是矩形
∴OA=OC=OD=OB
即OD=OC
∴四边形OCED是菱形.
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