1 . 如图,将含有
角的直角三角尺
绕直角顶点A逆时针旋转到
的位置,使B点的对应点D落在
边上,连接
,则下列结论:①
;②
为
的垂直平分线;③
平分
;④
为等边三角形,其中正确的是____________ (填序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82fd2c740aea7423ecc2077ed899260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed1b0a312e0ddf54abbbade60f2ca21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd1bc0388e7fad3e849ca39c67f5034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/12/1d5ca5bd-61c4-4340-9b4b-4656822c37ee.png?resizew=112)
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2 . 如图,
垂直平分
于
,
垂直平分
于
,若
,
,
,则
的周长为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4280be91682e5d8a0d0704190319bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b4f1e7f062b8cb005e8dbaf8462db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50398f83e870dbbdcb4af18acae12a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/8/ecaba7f5-6a59-4bd7-ab37-2705d43b5725.png?resizew=201)
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5卷引用:浙江省宁波市海曙区海曙区储能学校2023-2024学年八年级上学期开学考试数学试题
浙江省宁波市海曙区海曙区储能学校2023-2024学年八年级上学期开学考试数学试题浙江省杭州市临平区2023-2024学年七年级上学期10月月考数学试题(已下线)13.1 轴对称(题型精讲精练)-【题型分类精粹】2023-2024学年八年级数学上学期期中期末复习讲练系列【考点闯关】(人教版)广西壮族自治区南宁市2023-2024学年八年级上学期12月月考数学试题广西壮族自治区南宁市青秀区青秀区凤岭北路中学2023-2024学年八年级上学期12月月考数学试题
3 . 如图,在
中,
,
,
,
垂直平分
,点P为直线
上一动点,则
周长的最小值是 _______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df049f15adb6667113ceee3a6638cd0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/8e429795-b7b0-45c6-a4bb-fe735728a093.png?resizew=194)
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名校
4 . 如图,等腰三角形
的底边
长为6,面积是30,腰
的垂直平分线
分别交
,
于E,F点,若点D为
边的中点,点M为线段
上一动点,则
的周长的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e59b7c0d4a0b312e674b7bb061240b.png)
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14卷引用:湖南省长沙市宁乡市2022—2023学年八年级上学期期末调研数学考试试卷
湖南省长沙市宁乡市2022—2023学年八年级上学期期末调研数学考试试卷(已下线)专题强化训练二 直角三角形和垂直(角)平分线高频考点一遍过必刷题精练-2022-2023学年八年级数学下册《考点·题型·技巧》精讲与精练高分突破系列(北师大版)2023年山东省东营市东营区中考一模数学试题2023年广东省东莞市外国语学校中考数学三模试卷2023年广东省东莞外国语中考一模数学试卷2023年山东省东营市河口区初中学业水平考试数学试题(已下线)专题10 生活中的轴对称(13个考点)【考点串讲+热点题型专训】-2022-2023学年七年级数学下学期期中期末考点大串讲(北师大版)(已下线)第05讲 将军饮马-最短路径问题(知识解读+真题演练+课后巩固)-2023-2024学年八年级数学上册《知识解读·题型专练》(人教版)湖南省长沙市师大梅溪湖中学2022-2023学年九年级下学期第一次月考数学试题云南省云南师范大学实验中学2023-2024学年八年级上学期10月月考数学试题(已下线)专题04 等腰三角形与线段垂直平分线(八种考法)-【好题汇编】备战2023-2024学年八年级数学上学期期末真题分类汇编(湖南专用)黑龙江省哈尔滨市南岗区第四十七中学2023-2024学年八年级上学期期中数学试题2024年山东省泰安市泰安第六中学九年级中考数学第一次模拟考试模拟试题(已下线)专题02 线段的垂直平分线与角平分线(五种考法)-【好题汇编】备战2023-2024学年八年级数学下学期期中真题分类汇编(北师大版)
名校
5 . 如图,已知
,点
是边
的垂直平分线与边
的交点,点
在
上,
,
,
,则
的长为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d712484bed5a95d31e0db86f08aa237b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59efa8fd3ef37ad668263448608fb6b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ee826937d2add7a93aaa1422f8b736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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6 . 如图,在等腰
中,
,
的平分线与
的中垂线交于点
,点
沿
折叠后与点
重合.若
,则
的度数是_________ .
![](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/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/dc7d00f8cce2fe49eb6f927eb5a28f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778d3556c2454a733a15629af5c2444f.png)
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3卷引用:湖北省荆州市松滋市2023-2024学年八年级上学期期中数学试题
湖北省荆州市松滋市2023-2024学年八年级上学期期中数学试题湖北省武汉市江岸区武汉七一华源中学2019-2020学年八年级上学期10月月考数学试题(已下线)专题02 线段的垂直平分线与角平分线(五种考法)-【好题汇编】备战2023-2024学年八年级数学下学期期中真题分类汇编(北师大版)
7 . 如图,在
中,
的垂直平分线分别交
于点D,E,连接
.若
,
的周长为
,则
的周长为 _______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d54431bbb28ebd98db5c1dc6083a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73721d69c3c3dece2996af8bd6a0052f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19daa2b38e3a52bd7096d235c843110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/2045f6b2-1087-41a8-a10c-0fe8b6766d57.png?resizew=138)
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8 . 如图,在
中,
的垂直平分线交
于点D,交
于点
.若
,
,则
的长是 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ee9bd02adf9c94a61f52e89d43c52b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
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3卷引用:天津市红桥区2023-2024学年八年级上学期期末数学试题
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9 . 如图,在等腰
中,
,
,
的垂直平分线
交
于点D,交
于点E,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b347da9da842f89d3ecce7e6ed1e6411.png)
______ .
![](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/65c5840e0454fdec7d2158072c43b8db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b347da9da842f89d3ecce7e6ed1e6411.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/2367f761-f627-4809-b09a-b13b75383b2d.png?resizew=120)
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10 . 如图,点
为
直角边
上一动点,连接
,作线段
的垂直平分线交
边于点
,连接
,已知
,当
为直角三角形时,
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b4da8d254b7d76b7615d7f7cd824a3.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/b4f070aa-edd0-44d1-b40e-e920868dfec2.jpg?resizew=138)
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