如图,四边形 ABCD 和四边形 AEFB 都是平行四边形, 求证:△ADE≌△BCF.
![](https://img.xkw.com/dksih/QBM/2019/8/2/2260317420445696/2286273901051904/STEM/09bf528656334920933bece2ae37af21.png?resizew=146)
更新时间:2019-09-08 13:39:04
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解答题-证明题
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适中
(0.65)
【推荐1】在四边形
中,对角线
,
相交于点
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/23/2bb5097a-661b-45f9-b763-e1864dad3864.png?resizew=458)
(1)如图1,若
,求证:
;
(2)已知
;
①如图2,若
,求证:
;
②如图3,分别取
,
的中点
,
,连接
,求
的值.
![](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/7de966c316db1013defc56372fcf814e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/23/2bb5097a-661b-45f9-b763-e1864dad3864.png?resizew=458)
(1)如图1,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d2530e7023b2345c651e8f53629ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff5c21185c13eae675906dabd3593c7.png)
①如图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a16dc02090b6e9263555061f14fbc8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee473f4c701b257e24fd9b4d6e9f4f0.png)
②如图3,分别取
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f373d61b55ec5c76124f21afaf17b5.png)
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解答题-证明题
|
适中
(0.65)
真题
【推荐2】已知:如图,在
和
中,
在同一条直线上.下面四个条件:①
;②
;③
;④
.
(写出一种情况即可);
(2)在(1)的条件下,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7ebec154d611aa60d601fbbc338d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a510a3eb906b3ef0760b0d1723d11ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c244edbf77fbb8e9c017515e370c5c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805768a5ffaf8bdfa4bc3b680aafdc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00f89f6fd05f521d05129244aa4e5e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac61f3477e623aa4f924a82bd7a06ce4.png)
(2)在(1)的条件下,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac61f3477e623aa4f924a82bd7a06ce4.png)
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解答题-证明题
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适中
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【推荐1】如图,在平行四边形
中,G,H分别是
,
的中点,E,O,F分别是对角线
上的四等分点,顺次连接G,E、H、F.
(1)求证:四边形
是平行四边形;
(2)当平行四边形
满足什么条件时,四边形
是菱形?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/10/2c7057b7-085d-42a6-93ac-b55ed6e1fb1b.png?resizew=139)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356f5915a8893146e125450e8e9a2a11.png)
(2)当平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356f5915a8893146e125450e8e9a2a11.png)
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解答题-证明题
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【推荐2】如图,在
中,点D、E分别在
上,
相交于点O.求证:
和
不可能互相平分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86cae7cc6665dc8edfb9060075b3afb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a03841966d8142fa4a4aed023e37931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
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