如图,
的对角线
交于点O,
过点O交
于点E,交
于点F,
,证明:四边形
是平行四边形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989c75a3fd02e4971cab421c88de92f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6baf820ff60f2015ae352f2b1bc3aba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1522a9c3b2466395570c2689a4055584.png)
23-24八年级下·山东临沂·期中 查看更多[3]
山东省临沂市郯城县2023-2024学年八年级下学期期中数学试题2024年5月湖北省中考宜昌市长阳县中考模拟数学试题(已下线)专题04 平行四边形的判定与性质(七大题型)-【好题汇编】备战2023-2024学年八年级数学下学期期末真题分类汇编(山东专用)
更新时间:2024-05-05 10:46:14
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解答题-作图题
|
较易
(0.85)
【推荐1】如图,已知平行四边形
的一个内角
及其两边长
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/31/54a9b6d2-a435-4c79-8719-e48343061993.png?resizew=200)
(1)用尺规 补全平行四边形
,请保留作图痕迹 并说明你的作图依据_______________________________________;
(2)点E是
边上任意一点,只用一把无刻度的直尺 在
边上作点F,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/31/54a9b6d2-a435-4c79-8719-e48343061993.png?resizew=200)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)点E是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f40b3bf6b27f936e0747de92151a1f77.png)
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解答题-证明题
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(0.85)
【推荐2】如图,矩形
中,
是
的中点,延长
,
交于点
,连接
,
.
(1)求证:四边形
是平行四边形;
(2)当
平分
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/19/40a6c4f7-3d76-4778-ae09-1f9091ee3ca2.png?resizew=143)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9186e4574ffe28e673724fcb019db208.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/510634e49198fc429d942d00fa5446ab.png)
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解答题-作图题
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(0.85)
【推荐1】如图,点D在
的
边上.
是平行四边形;
(要求:尺规作图,不写作法,保留作图痕迹.提示:点A,D,B,E按逆时针依次排序)
(2)在(1)的条件下,连接
,与
交于点O,连接
, 若
,
,
,求
的长度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/945e93c9f3515ded840de09a9ba81ce8.png)
(要求:尺规作图,不写作法,保留作图痕迹.提示:点A,D,B,E按逆时针依次排序)
(2)在(1)的条件下,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc93e193fad261689949a52819753f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc93e193fad261689949a52819753f0.png)
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解答题-证明题
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【推荐2】如图,在平行四边形中,对角线
、
相交于点O,E、F是对角线
上的两点.
(1)添加一个条件___,使四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3c15b30bd155641e548a7d8c172dd4.png)
(2)按(1)中的条件写出证明过程.
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