题目内容
(本题满分7分)
如图所示,在平行四边形
的各边
上,分别取点
,使
.
求证:四边形
为平行四边形.

如图所示,在平行四边形

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求证:四边形
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证明:∵四边形
是平行四边形.
∴
……………1分
∵
,
∴
……………2分
∴△
≌△
,△
≌△
…………………………4分
∴
…………………………6分
∴四边形
是平行四边形. ………………………………………7分
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∴
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∵
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∴
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∴△
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
∴

∴四边形

考查了平行四边形的性质和判定、三角形全等的判定和性质。
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