如图,线段AB、CD相交于点O,且互相平分.
求证:△AOC≌△BOD.
求证:△AOC≌△BOD.
![](https://img.xkw.com/dksih/QBM/2019/2/25/2148133060444160/2149458599124992/STEM/40c8f3c927d74fa8b8654888f8e0e624.png?resizew=120)
更新时间:2019-02-27 06:27:37
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【知识点】 用SAS直接证明三角形全等(SAS)解读
相似题推荐
解答题-证明题
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适中
(0.65)
名校
【推荐1】如图,
是等边三角形
内一点,将线段绕点
顺时针旋转
得到线段
,连结
,
.
![](https://img.xkw.com/dksih/QBM/2019/10/29/2322426596671488/2322642300215296/STEM/1676cba3498e4ba0b226c9da9fddede8.png?resizew=136)
(1)求证:
;
(2)连接
,若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://img.xkw.com/dksih/QBM/2019/10/29/2322426596671488/2322642300215296/STEM/1676cba3498e4ba0b226c9da9fddede8.png?resizew=136)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591cb1d6d2fa2f4d438364a5fc52bbd9.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57061067900de760e24ce22e51d8b1c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3de20ba8bda63c650ef571be155702.png)
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解答题-证明题
|
适中
(0.65)
真题
【推荐2】在四边形
中,
的平分线
交
于
,延长
到
使
,
是
的中点,
交
于
,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/23/fb219fa3-0f21-4558-9b4e-062cffc2c917.png?resizew=400)
(1)当四边形
是矩形时,如图,求证:①
;②
.
(2)当四边形
是平行四边形时,如图,(1)中的结论都成立,请给出结论②的证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e570eabbf1b9390fe78cbb37995c60f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f3956f008cc29ca4bae44a087d5427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8f887360a533f0a25b0b34fb11f0a1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/23/fb219fa3-0f21-4558-9b4e-062cffc2c917.png?resizew=400)
(1)当四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8245bcd9cf3601f5718d095e1f129c86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e6138096b5f911b40fc2f7fea3c5ab.png)
(2)当四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次