题型:解答题-证明题
难度:0.85
引用次数:67
题号:20462814
如图,菱形
的对角线
、
交于点
,点
是菱形外一点,
,
.求证:四边形
是矩形.
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105068b25f5a63af32f4082cfe08691e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3275b04cb57af1d26fe2562cc4daa445.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0734604874ea486b0566c61654df589.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/23/d5164ac0-5069-4f9c-990e-01331ece51e8.png?resizew=145)
更新时间:2023-10-20 10:02:27
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【推荐1】求证:圆内接平行四边形是矩形.(请思考不同证法)
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解答题-证明题
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较易
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【推荐2】如图,在平行四边形
中,连接
,E为线段
的中点,延长
与
的延长线交于点F,连接
,
,求证:四边形
是矩形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
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您最近一年使用:0次
解答题-证明题
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较易
(0.85)
【推荐1】如图,在菱形
中,对角线
相交于点O,过点A作
,垂足为E,延长
到点F,使
,连接
.
是矩形;
(2)连接
,若
,
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989c75a3fd02e4971cab421c88de92f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f5dc11efe60b4fd9a13b1d6b83842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a893fc8b2e9d55c9cdf8aceb3827a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946c16d99496d31ce4d87301a4793393.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26ad70d2b3aac8604834d57dfc59bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214d99ce9f50286dcff41db85083c979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
您最近一年使用:0次
解答题-证明题
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较易
(0.85)
名校
【推荐2】如图,在菱形
中,点M,N分别在
上,且
.
求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c0ecf2aeda1219e40e8db1bd73e063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ef500883f5a65ae725aec66a1051ed.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ec1827a09872159663c8d1998a0ff2.png)
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