如图,在△ABC中,点D、E分别是AB、AC边上的点,BD=CE,∠ABE=∠ACD,BE与CD相交于点F.求证:△ABC是等腰三角形.
![](https://img.xkw.com/dksih/QBM/2022/5/23/2985751634993152/2987618285944832/STEM/444aa172-314a-4ac1-971b-ecf099a95350.png?resizew=105)
2022九年级·广东·专题练习 查看更多[5]
(已下线)押广东卷21题(几何证明与计算)-备战2022年中考数学临考题号押题(广东卷)广东省汕尾市陆丰市南塘镇南塘中学2021-2022学年九年级期下学期中数学试卷辽宁省鞍山市千山区2022-2023学年九年级上学期期末数学试题2022年广东省东莞市中考一模数学试卷安徽省蚌埠市蚌山区2023-2024学年八年级上学期期末数学试题
更新时间:2022-05-26 11:07:52
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【推荐1】如图,点A、C、B、D在同一条直线上,BE∥DF,∠A=∠F,AB=FD.
(1)求证:AE=FC.
(2)若∠E=30°,∠D=45°,求∠F的大小.
(1)求证:AE=FC.
(2)若∠E=30°,∠D=45°,求∠F的大小.
![](https://img.xkw.com/dksih/QBM/2017/4/27/1674670090477568/1679711988334592/STEM/dd05586bbb38408da071948eab9166e6.png?resizew=152)
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【推荐2】如图,在
中,
,
,垂足为
,过点A作
,且
,连接
,交
于点
,连接
.
为矩形;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e932b4add3175358f15be0e1f7104e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e6363330b33ca9feda927e6ffd3088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc1cbcd6d00f0c36bad8254297d9f33.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ff13b4da65c7da3d898ba58e967b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
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【推荐1】如图,在
中,
,
,AE,BE分别平分
和
.
![](https://img.xkw.com/dksih/QBM/2022/11/15/3110189848772608/3111554836692992/STEM/f9f555f271d84ceda09dfd702e7c680e.png?resizew=218)
(1)求
的度数;
(2)试判断
的形状.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70734a8e672376bb0bd1522e229f86a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246a86f34603eaf2e6a948681b831b0d.png)
![](https://img.xkw.com/dksih/QBM/2022/11/15/3110189848772608/3111554836692992/STEM/f9f555f271d84ceda09dfd702e7c680e.png?resizew=218)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a55a1a244f81097e05e715b69580faa.png)
(2)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
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【推荐2】如图,在直角坐标系中,长方形纸片
的边
,点B坐标为
,若把图形按如图所示折叠,使B、D两点重合,折痕为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/9cb1c730-8639-4f07-88a4-ed33d6276a4d.png?resizew=211)
(1)求证:
为等腰三角形;
(2)求
的函数表达式
(3)求折痕
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f167be35d9adfa3a395ebe9e6debace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f462f4c79999213cd3b5fa2bb68b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/9cb1c730-8639-4f07-88a4-ed33d6276a4d.png?resizew=211)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(3)求折痕
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
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