题目内容
(10分)已知:如图所示,四边形ABCD是矩形,对角线AC,BD相交于点O,CE//DB,交AB的延长线于点E,AC与CE相等吗?请说明理由。
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相等.
证明:∵四边形ABCD是矩形,
∴AC=BD,AB∥CD,
∵CE∥DB,
∴四边形BECD为平行四边形,
∴BD=CE,
∴AC=CE.
证明:∵四边形ABCD是矩形,
∴AC=BD,AB∥CD,
∵CE∥DB,
∴四边形BECD为平行四边形,
∴BD=CE,
∴AC=CE.

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