如图,在菱形
中,
、
分别为边
和
上的点,且
.连接
、
交于点
.求证:
.
![](https://img.xkw.com/dksih/QBM/2021/8/8/2782001844142080/2784773214371840/STEM/be305ac7d1014bdcbf45ef68acb24bde.png?resizew=185)
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce1475f537b4ad21775bfaa16daa0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b66f2823da9794fb264aeca2487c59.png)
![](https://img.xkw.com/dksih/QBM/2021/8/8/2782001844142080/2784773214371840/STEM/be305ac7d1014bdcbf45ef68acb24bde.png?resizew=185)
2020·山东济南·一模 查看更多[9]
2020年山东省济南市市中区育英教育集团中考数学一模试题(已下线)必刷卷01-2021年中考数学考前信息必刷卷(陕西专用)(已下线)考点14 等腰三角形与直角三角形的性质(考点专练)-备战2021年中考数学考点微专题辽宁省抚顺市新抚区2020-2021学年九年级上学期期末数学试题湖南省邵阳市隆回县2021-2022学年八年级下学期期中数学试题(已下线)专练02 菱形解答证明题(练习)-2022-2023学年八年级数学下册同步精品课堂(人教版)(已下线)专练02 菱形解答证明题(练习)-2022-2023学年八年级数学下册同步精品课堂(苏科版)陕西省渭南市2022-2023学年九年级上学期期末考试数学试题(已下线)2023年山东省济南市长清区东城校际联合体中考二模数学试题变式题16-20题
更新时间:2021-08-12 20:58:31
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解答题-问答题
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【推荐2】已知:如图,
,
、
分别是边
、
的中点.请问:
与
全等吗?为什么?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fb6e81fee5674c3e26a65e58cc506d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/21/ceb89b03-eb56-4a66-9d38-7cdda7ec34f3.png?resizew=120)
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解答题-作图题
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名校
【推荐1】如图,在菱形
中,对角线
和
相交于点
.
作
交
的延长线于点
.(要求:尺规作图,保留作图痕迹,不写作法,标明字母)
(2)猜想与证明:试猜想线段
与
之间的数量关系,并证明你的猜想.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)猜想与证明:试猜想线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
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解答题-证明题
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【推荐2】如图,菱形ABCD的周长为8,对角线BD=2,E、F分别是边AD,CD上的两个动点;且满足AE+CF=2.
(1)求证:△BDE≌△BCF;
(2)判断△BEF的形状,并说明理由.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/30/2c15282c-8684-4e99-a398-6afb2e76cb33.png?resizew=143)
(1)求证:△BDE≌△BCF;
(2)判断△BEF的形状,并说明理由.
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