2024八年级下·全国·专题练习
1 . 如图,在
中,
边的垂直平分线交
.
于点
,
,且
,
,则
的周长是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a783e5ffcf7a4ea9e531ea76199487.png)
A.7.5 | B.5 | C.8 | D.6 |
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2 . 如图,在
中,
是
的垂直平分线,且分别交
,
于点D和E,连接
.若
,
,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e9e7c56e8eeda044fb55396088816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7372745342e507f47de35243c451b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721c75fcd58d3d54260aad0f82e09e37.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6卷引用:四川省自贡市2023-2024学年八年级上学期期末数学试题
四川省自贡市2023-2024学年八年级上学期期末数学试题辽宁省铁岭市开原市2023-2024学年八年级下学期4月月考数学试题(已下线)专题05 生活中的轴对称(考点清单)-2023-2024学年七年级数学下学期期末考点大串讲(北师大版)(已下线)专题01 三角形的证明(考点清单)-2023-2024学年八年级数学下学期期末考点大串讲(北师大版)(已下线)暑假作业02 线段的垂直平分线与角平分线-【暑假分层作业】2024年八年级数学暑假培优练(北师大版)广东省梅州市兴宁市第一中学2023-2024学年八年级下学期第一次月考数学试题
3 . 如图,
,
与
相交于点E,
.
(2)如图2,过点B作
交
的延长线于点F,若
;
①求证:
是等边三角形;
②如果G、H分别是线段
、线段
上的动点,当
的值最小时,写出此时
与
的数量关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3798a74058ec4bc40b6d9b5d268c359b.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/3cc5ea9810b67acbc7e9006fb6f8316f.png)
(2)如图2,过点B作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff21fa5add663a1e31ab4bdf50bb6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c7e48723871f06a6aeae31a2a1ff79d.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
②如果G、H分别是线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f49d7f053d3bcee2de9f3576c34129.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6655e2fa64a32cd12fe0279afd65d73.png)
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4 . 如图,在面积为
的
中,
,
,
于点
,直线
垂直平分
交
于点
,交
于点
,
为直线
上一动点,则
周长的最小值为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.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/07160f14b3b453bebb64cb2bf96dc85a.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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acee03d4bb4667b6c345221b6c9b0fa4.png)
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22卷引用:内蒙古赤峰市红山区第三中学2020-2021学年八年级上学期期中数学试题
内蒙古赤峰市红山区第三中学2020-2021学年八年级上学期期中数学试题四川省自贡市贡井区成佳中学校2020-2021学年八年级上学期第二次月考数学试题(已下线)1.3 线段的垂直平分线-2020-2021学年八年级数学下册十分钟同步课堂专练(北师大版)内蒙古通辽市奈曼旗新镇中学、青龙山中学等四校2021-2022学年八年级上学期期中联考数学试题广东省广州市花都区2022-2023学年八年级上学期期末模拟考数学试卷四川省南充市顺庆区南充高级中学2022-2023学年八年级上学期期中数学试题广东省肇庆市封开县封川中学2022-2023学年八年级上学期11月期中数学试题广西壮族自治区河池市东兰县2022-2023学年八年级下学期期中数学试题福建省福州市平潭翰英中学2022-2023学年八年级上学期月考数学试题广东省广州市番禺区星海中学2022-2023学年八年级上学期期末数学试题(已下线)13.2 等腰三角形(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)广东省潮州市湘桥县2022-2023学年八年级上学期期末数学试题辽宁省锦州市北镇市2023-2024学年八年级下学期期中数学试题(已下线)暑假作业11 三角形和平行四边形中的最值问题和动点问题-【暑假分层作业】2024年八年级数学暑假培优练(北师大版)江西省赣州市2020-2021学年八年级上学期期末数学试题广东省湛江市雷州市第八中学2021-2022学年八年级上学期期中数学试题福建省龙岩市龙岩市第二中学2021-2022学年八年级上学期期中数学试题贵州省黔东南苗族侗族自治州三穗县三穗中学2021-2022学年八年级上学期期末数学试题云南省昭通市永善县务基中学2022-2023学年八年级下学期期末数学试题广东省广州市龙涛教育集团2023-2024学年八年级上学期期末数学试题湖南省岳阳市部分校联考2023-2024学年八年级上学期期末数学试题广东省茂名市愉园中学等几校2023-2024学年八年级下学期月考数学试题
5 . 如图,在
中,
,
,
,点
在
的垂直平分线上,
是
上一动点,
沿
折叠得到
,当
是直角三角形时,则
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d9142db4dd2ef151bf3d4a63afb61e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549e807ed5636b783c51603d38337313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6efbefecd3366c5a1562e9e54499d6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a83ccde054ec5f3473ede6c07e484290.png)
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6 . 如图,在
中,
分别为
边的垂直平分线,连接
.
,求
的度数;
(2)判断
与
之间的数量关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304f8bf77804717112155e4c176e1ce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879a0f9f176055ff3e674a1d43196874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e545f31f7cc57a31843f5adfd02941.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e9e7c56e8eeda044fb55396088816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb8eca20ce2c918ea4034ea15210c7f.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb8eca20ce2c918ea4034ea15210c7f.png)
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7卷引用:第03讲 角平分线和垂直平分线的性质和应用(知识解读+达标检测)-2023-2024学年七年级数学下册《知识解读·题型专练》(北师大版)
(已下线)第03讲 角平分线和垂直平分线的性质和应用(知识解读+达标检测)-2023-2024学年七年级数学下册《知识解读·题型专练》(北师大版)四川省达州市渠县东安雄才学校2023-2024学年八年级下学期5月期中数学试题(已下线)暑假作业02 线段的垂直平分线与角平分线-【暑假分层作业】2024年八年级数学暑假培优练(北师大版)江西省景德镇市2020-2021学年八年级下学期期中数学试题(已下线)第一次月考数学模拟卷-【单元测试】2022-2023学年八年级数学上册分层训练AB卷(湘教版)湖南省岳阳市临湘市2022-2023学年八年级上学期期中质量检测数学试题江西省吉安市十校联盟2023-2024学年八年级下学期期中数学试题
7 . 如图,等腰
中,
,
.线段
的垂直平分线交
于D,交
于E,连接
,则图中等腰三角形共有( )
![](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/ee54b9b398ce80cd054b56173fe810f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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8 . 如图,在
中,点
是
边上的一点,连接
,
垂直平分
,垂足为
,交
于点
,连接
.
的周长为18,
的周长为6,求
的长;
(2)若
,
,求
度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2689f0ce5ab3467d8214794d8acb2bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d6df9d99f1fc50f2eca90b902ccc4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed4149b9e70878689864487dbe648b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35803969509655f72b4118503ae1c966.png)
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4卷引用:陕西省西安市高新一中2023-2024学年七年级下学期第二次月考数学试题
陕西省西安市高新一中2023-2024学年七年级下学期第二次月考数学试题(已下线)专题06 生活中的轴对称(7大题型+优选提升题)-备战2023-2024学年七年级数学下学期期末真题分类汇编(北师大版)(已下线)期末押题模拟卷(考试范围:北师大版八下全部内容)-备战2023-2024学年八年级数学下学期期末真题分类汇编(北师大版)(已下线)暑假作业02 线段的垂直平分线与角平分线-【暑假分层作业】2024年八年级数学暑假培优练(北师大版)
9 . 如图,在已知
中,按以下步骤作图:①分别以
,
为圆心,以大于
的长为半径作弧,两弧相交于两点
,
;②作直线
交
于点
,交
于点
,连接
.若
,
,则
的大小为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93148adbc6e856da9a9d263f485d003.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fffa3d9c32da53b0ea0c338012ea20c.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:暑假作业02 线段的垂直平分线与角平分线-【暑假分层作业】2024年八年级数学暑假培优练(北师大版)
10 . 如图,在
中,
是
的垂直平分线.若
,则
的周长为______ .
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