已知如图:在
中,延长AB到E,延长CD到F,使BE=DF,则线段AC与EF是否互相平分?说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc840e197de2dabff676ee1b8968fada.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/9/8dede984-ab07-4709-b68e-0f9288694d51.png?resizew=188)
更新时间:2016-12-05 15:58:11
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【知识点】 利用平行四边形性质和判定证明解读
相似题推荐
解答题-证明题
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较易
(0.85)
【推荐1】如图,在平行四边形ABCD中,点M是边AD上的点,连接MB,MC,点N为BC边上的动点,点E,F为MB,MC上的两点,连接NE,NF,且∠BNE=∠CMD,∠BEN=∠NFC.求证:四边形MENF为平行四边形.
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解答题-证明题
|
较易
(0.85)
【推荐2】如图①,平行四边形
的对角线
,
相交于点
,
过点
与
,
分别相交于点
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/beff6854-3844-4836-937f-81ae126496a5.png?resizew=396)
(1)求证:
;
(2)若图中的条件都不变,将
转动到图②的位置,那么上述结论是否成立?说明理由.
![](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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/beff6854-3844-4836-937f-81ae126496a5.png?resizew=396)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92034dd2bb9480b18709d01153467f8f.png)
(2)若图中的条件都不变,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
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