1 . 如图,在
中,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/2c81df1b-292f-4bee-a601-58fe42995a13.png?resizew=173)
(1)在线段
上求作一点
,使
(保留作图痕迹);
(2)在(1)的条件下,连接
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e56feb858a38f68412d4d7691fcf86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e9e7c56e8eeda044fb55396088816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/2c81df1b-292f-4bee-a601-58fe42995a13.png?resizew=173)
(1)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/236c134aad7d9a21c49c07e924b9a531.png)
(2)在(1)的条件下,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2024-03-29更新
|
69次组卷
|
2卷引用:上海市徐汇区部分学校2023-2024学年八年级上学期月考数学试题
2 . 如图,中,
,
分别为
的垂直平分线,E、G分别为垂足.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c36ff76f9f1ee12db562cde7a58b8c3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592849d99e570c23906687097b1072ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
名校
3 . 如图,已知
是
的角平分线,
的垂直平分线交
于点F,交
的延长线于点E.以下四个结论:(1)
;(2)
;(3)
;(4)
.以上恒成立的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/28/fd3d7e9d-5240-47dd-b431-aad176a0022d.png?resizew=219)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/5fed26111f78f74696b3d347196a63d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b3f839ce88bf970aceb44ab939bd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881b0d47457539e98db917b95c186eae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08aa8f8e40a744c91eb897d06f6dde1d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/28/fd3d7e9d-5240-47dd-b431-aad176a0022d.png?resizew=219)
A.(1)(2) | B.(2)(3)(4) | C.(1)(2)(4) | D.(1)(2)(3)(4) |
您最近一年使用:0次
4 . 如图,在
中,
分别垂直平分
和
,交
于M、N两点,
与
相交于点F.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/ef8a90c2-f697-4c4a-b79a-18faf49fbc08.png?resizew=301)
(1)若
的周长为
,求
的长;
(2)若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579c40cc83f7281d9b1c417bf314dd83.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4c865445dda4a59b6d5cb18fd74404.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/ef8a90c2-f697-4c4a-b79a-18faf49fbc08.png?resizew=301)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12225a1a1eda07908309f8100cc34726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc31bf4b6ed8cf336432a5a2791e67e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2965dcbc436b5e4fc20cd4a894c6b89a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f8eff113ca3f0d0200253c7c2f5a7a.png)
您最近一年使用:0次
5 . 如图,
中,
的垂直平分线分别交
、
于D、E两点.若
的周长为21,
的周长为13,则
的长为______ .
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/26/4006fbf9-d4fc-4618-8d70-0a57225833c5.png?resizew=187)
您最近一年使用:0次
名校
6 . 如图,在
中,
,
的垂直平分线交
于点D,
的垂直平分线交
于点E,则
的周长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
您最近一年使用:0次
2024-03-26更新
|
148次组卷
|
33卷引用:山东省济南市章丘区章丘区第二实验中学2022-2023学年七年级下学期第三次月考数学试题
山东省济南市章丘区章丘区第二实验中学2022-2023学年七年级下学期第三次月考数学试题河南省平顶山市汝州市有道实验学校2022-2023学年七年级下学期5月月考数学试题河南省平顶山市第四十二中学2020-2021学年第二学期八年级第一次月考数学试卷四川省雅安市雅安中学2021-2022学年八年级下学期4月月考数学试题广东省河源市广赋创新学校2021-2022学年八年级下学期第一次调研数学试卷(已下线)第一章 三角形的证明(单元测试)-2022-2023学年八年级数学下册同步精品课堂(北师大版)广东省深圳市坪山区弘金地学校2021-2022年八年级下学期第一次月考数学试卷(已下线)专题5.9 简单的轴对称图形(线段的垂直平分线)(专项练习)-2022-2023学年七年级数学下册基础知识专项讲练(北师大版)第十六章 轴对称和中心对称 16.2 线段的垂直平分线冀教版八年级上册课后作业江西省九江市永修县2023-2024学年八年级上学期开学考试数学试题(已下线)2023年浙江省丽水市中考数学真题变式题11-16题陕西省西安市莲湖区远东第二中学2023-2024学年八年级下学期第一次月考数学试题宁夏回族自治区银川市滨河新区景城第一中学2023-2024学年八年级下学期月考数学试题河南省武陟县实验中学2017-2018学年八年级上学期期中考试数学试题新人教版数学八年级上册第十三章轴对称13.1.2《线段的垂直平分线的性质》课时练习甘肃省武威市民勤五中2017-2018学年八年级(上)期中数学试卷北师大版八年级下册数学 第一章 三角形的证明 单元检测卷2017-2018学年北师大版七年级数学下册同步练习:5.3简单的轴对称图形(已下线)2.6 等腰三角形(综合练习02)-2018-2019学年八年级上学期数学教材(青岛版)【校级联考】河北省沧州市沧县2017-2018学年八年级上学期期末考试数学试题山东省东平县2019-2020学年七年级上学期期末数学试题陕西省宝鸡市凤翔县2019-2020学年八年级下学期期中数学试题辽宁省鞍山市千山区2021-2022学年八年级上学期期中数学试题(已下线)沪科版2021-2022学年八年级数学上册期末模拟测试卷(五)黑龙江省鸡西市密山市兴凯湖学校2021-2022学年八年级上学期期末数学试题黑龙江省虎林市八五四农场学校2021-2022学年八年级上学期数学期末考试试题(已下线)第02讲 轴对称图形-【寒假自学课】2022年八年级数学寒假精品课(苏科版)山东省泰安市肥城市2021-2022学年七年级上学期期末数学试题广东省深圳市福田区红岭中学(红岭教育集团)2021-2022学年八年级下学期期中数学试题广东省河源广赋创新学校2021-2022学年七年级下学期数学期末质量检测01山东省泰安市东平县东原实验学校2022-2023学年七年级上学期期末数学试题湖北省黄冈、孝感、咸宁三市2021-2022学年八年级上学期期末模拟数学试题(已下线)专题02 线段的垂直平分线与角平分线(7大题型+优选提升题)-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)
7 . 如图,中,
,
,
、
分别为
、
的垂直平分线,
、
分别为垂足.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c36ff76f9f1ee12db562cde7a58b8c3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592849d99e570c23906687097b1072ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
8 . 如图
,直线
为线段
的垂直平分线,交
于点D,连
,若
,
,则
长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addb8e20db1fbb40f17dea52f951b907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
A.6 | B.7 | C.8 | D.9 |
您最近一年使用:0次
2024-03-24更新
|
150次组卷
|
2卷引用:湖北省武汉市黄陂区前川第三中学2023-3024学年八年级上学期月考数学试题
9 . 如图,
,
,
.过点
作
,交
的延长线于点
,过点
作
,交
的延长线于点
.
的度数为______
(2)连接
,交
于点
,试说明
垂直平分
;
(3)点
是直线
上的动点,当
的值最小时,证明点
与点
重合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3798a74058ec4bc40b6d9b5d268c359b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a16dc02090b6e9263555061f14fbc8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a08599072e368d5a36cf72583853f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8259e9e758dfd24a4c0db36b5a39a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14f8900d164875e70cbdd6a906abf1d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9940b7a52cfb34f91389c8adac6b69e.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5842f56211749f47dddb3b06a1510dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
您最近一年使用:0次
2024-03-24更新
|
150次组卷
|
2卷引用:陕西省咸阳市永寿县蒿店中学2022-2023学年八年级下学期月考数学试题
10 . 如图,在四边形
中,
,
,
,
.请用尺规作图法、在边
上求作一点
,使得
.(保留作图痕迹,不写作法)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a20cb14fea4a7cad4b7775a3dd67df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8ef58be8708144272538ee427fb92c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a702c324e0c76150540c3d32df802077.png)
您最近一年使用:0次
2024-03-24更新
|
30次组卷
|
2卷引用:陕西省咸阳市永寿县蒿店中学2022-2023学年八年级下学期月考数学试题