名校
1 . 如图,在
中,
垂直平分
,分别交
、
于D、E,连接
,
平分
,交
于F,若
,
,则
的度数为( )
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7595bdaea3dfa548c0fcfe3708387476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9cbf3ba8cb27906cb6b87dc0d6c440e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3909f220cf6bd065e382e263b77aa22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10卷引用:重庆市巴南区巴南区全善学校2023-2024学年八年级上学期期中数学模拟试题
重庆市巴南区巴南区全善学校2023-2024学年八年级上学期期中数学模拟试题福建省泉州实验中学2022-2023学年八年级上学期期末质量检测数学试题 福建省泉州市永春县2022-2023学年八年级上学期期末质量监测数学模拟试卷山西省太原市第五中学校2022-2023学年八年级下学期月考数学试题(已下线)第01讲 轴对称-【帮课堂】2023-2024学年八年级数学上册同步学与练(人教版)(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)(已下线)猜想03轴对称(易错必刷40题13种题型专项训练)-2023-2024学年八年级数学上学期期末考点大串讲(人教版)(已下线)期末真题必刷易错60题(32个考点专练)-2023-2024学年八年级数学上学期期末考点大串讲(人教版)(已下线)专题1.10 线段垂直平分线(分层练习)-2023-2024学年八年级数学下册基础知识专项突破讲与练(北师大版)(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)
名校
2 . 四边形
中,
,
,在
上分别找一点M、N,当
的周长最小时,
的度数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748d19917216d35bf37aa35c0c3f16b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59281d3136f2c67c078d98842171224d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20cb2c77ea29b6eabbc477bc3743859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358c69b4f6c350c35d19d33c69f2a2a8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:重庆市城口县2023-2024学年八年级上学期期末数学试题
重庆市城口县2023-2024学年八年级上学期期末数学试题黑龙江省齐齐哈尔市第三中学校2023-2024学年八年级上学期期末数学试题(已下线)第02讲 轴对称-最短路径问题(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)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)
名校
3 . 如图,等腰三角形
的底边
长为4,面积是16,腰
的垂直平分线
分别交
,
于点
,
.若点
为
的中点,点
为线段
上一动点,则
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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e59b7c0d4a0b312e674b7bb061240b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/8/4bd1012c-7a18-41c9-b058-ea1a0e085edb.png?resizew=167)
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|
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58卷引用:重庆市文理学院附属中学2019-2020学年八年级上学期期中数学试题
重庆市文理学院附属中学2019-2020学年八年级上学期期中数学试题重庆市永川区萱花中学校2019-2020学年八年级上学期期中数学试题【区级联考】广东省深圳市宝安、罗湖、福田、龙华四区2018-2019学年八年级上学期期中联考数学试题【校级联考】陕西省渭南市大荔县2018-2019学年八年级(上)期末教学质量检测数学试题山东省临沂市罗庄区2018—2019学年度上学期八年级数学期中学业水平质量调研试题湖北省武汉六中2018-2019学年八年级下学期2月份月考数学试题河南省洛阳市洛阳地矿双语学校2018-2019学年八年级上学期期中数学试题福建省南平市延平区2019-2020学年八年级上学期期中数学试题山东省滨州市博兴县第一中学2019-2020学年八年级上学期期中数学试题福建省福州市平潭县2019-2020学年八年级上学期期中数学试题福建省龙岩市北京大学附属实验学校2019-2020学年八年级上学期期中数学试题河北省石家庄市平山县2019-2020学年八年级上学期期中数学试题福建省南平市光泽县光泽县茶富中学2019-2020学年八年级上学期11月月考数学试题福建省厦门市思明区金鸡亭中学2018-2019学年八年级上学期期中数学试题河南省洛阳市洛宁县第一实验中学2019-2020学年八年级上学期期末数学试题湖北省孝感市孝昌县2019-2020学年八年级上学期期末数学试题新疆维吾尔自治区乌鲁木齐市2019-2020学年八年级上学期期末数学试题湖北省黄冈市黄梅县实验中学2019-2020学年八年级上学期第三次学力检测数学试题山东省菏泽市牡丹区第二十二初级中学2019-2020学年八年级下学期阶段测试数学试题河南省洛阳市洛宁县2019-2020学年八年级上学期期末数学试题黑龙江省大兴安岭塔河县2019-2020学年八年级上学期期末数学试题辽宁省鞍山市岫岩县2020-2021学年八年级12月月考数学试题山东省聊城市冠县2019-2020学年八年级上学期期中数学试题福建省福州市晋安区九校联考2020-2021学年八年级上学期期中数学试题广东省惠州市2020-2021学年八年级上学期期末数学试题(已下线)【新东方】【宁波】【初二上】【数学】【00013】(已下线)【万唯】2021年平顶山市第三次模拟考试福建省龙岩市漳平市2021-2022学年八年级上学期期中数学试题广东省肇庆市四会市广附实验学校2020-2021学年八年级上学期期末数学试题广东省珠海市第七中学2019-2020学年八年级上学期期中数学试题广东省惠州市惠城区2020-2021学年八年级上学期期末数学试题河南省开封市第二十七中学2021-2022学年八年级上学期期末数学试题内蒙古自治区鄂尔多斯市准格尔旗2021-2022学年八年级上学期期末数学试题河南省信阳市固始县2021-2022学年八年级上学期期末数学试题河南省洛阳市涧西区2020-2021学年八年级上学期期中数学试题福建省龙岩市永定区高陂第二初级中学2021-2022学年八年级上学期第一次综合训练数学试卷浙江省金华市婺城区南苑中学2020-2021学年八年级上学期期中数学试题辽宁省铁岭市2021-2022学年八年级上学期第二次随堂练习数学试题广西壮族自治区桂林市龙胜各族自治县2022-2023学年八年级上学期期中数学试题广东省惠州市惠阳区良井中学2022-2023学年八年级上学期10月月考数学试题湖南省湘西土家族苗族自治州吉首市2021-2022学年八年级上学期期末质量检测数学试题贵州省安顺市2022-2023学年八年级上学期六校期末联考数学试题河南省南阳市宛城区第一完全学校2022-2023学年八年级上学期期末数学试题陕西省渭南市韩城市2022--2023学年八年级上学期学业水平检测数学试题(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)华东师大版八年级上册第13章全等三角形单元测试数学试题福建省龙岩市第八中学2022-2023学年八年级上学期期中数学试题福建省厦门外国语学校瑞景分校2022-2023学年八年级上学期期中数学试题福建省福清市滨江中学2022-2023学年八年级上学期期中数学试题广东省肇庆市第一中学2022-2023学年八年级上学期期中数学试题黑龙江省绥化市绥棱县克音河乡学校2023-2024学年八年级上学期月考数学试题广东省广州市增城区2023-2024学年八年级上学期期中数学试题四川省成都市简阳市雷家学校2023-2024学年八年级上学期期中数学试题黑龙江省绥化市明水县明水县第二中学2023-2024学年八年级上学期10月月考数学试题(已下线)专题06 轴对称(十三大题型)-【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(山东专用)(已下线)八年级上学期期末模拟测试卷02-2023-2024学年八年级数学上学期期中期末考点归纳满分攻略讲练(浙教版)(已下线)八年级开学摸底考(浙江专用)01-2023-2024学年八年级数学下学期开学摸底考试卷河南省南阳市2023-2024学年八年级上学期第二次数学月考试题
4 . 如图,等腰
底边
的长为4cm,面积是
,D为
边上的中点,腰
的垂直平分线
交
于M,交
于点F,则
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/7/7f5adeea-bde8-4d43-80fe-5ccfaab319c7.png?resizew=123)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f9bc55e6fb5a95fb6d5495b9335d43.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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c8c210650b91825d919c5cc1cf0ae6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/7/7f5adeea-bde8-4d43-80fe-5ccfaab319c7.png?resizew=123)
A.2cm | B.10cm | C.6cm | D.5cm |
您最近一年使用:0次
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|
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5卷引用:八年级数学开学摸底考(重庆专用,人教八上全册+二次根式)-2023-2024学年初中下学期开学摸底考试卷
(已下线)八年级数学开学摸底考(重庆专用,人教八上全册+二次根式)-2023-2024学年初中下学期开学摸底考试卷陕西省咸阳市乾县2020-2021学年七年级下学期期末数学试题河北省衡水市阜城县2021-2022学年八年级上学期期末考试数学试题(已下线)人教版(2012)八年级上册第十三章轴对称 检测卷江苏省泰州市兴化市昭阳湖初级中学2023-2024学年八年级上学期第一次质量抽测数学试题
5 . 如图,已知
,
的周长为40,
的垂直平分线
交
于点D,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4ceaa2fcab33e355f2fdced22734af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/16ca90e8a784f990c4097eec9219908d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/ec5a0ef8-d82c-43c5-87ea-75cbe8477d33.png?resizew=127)
您最近一年使用:0次
6 . 如图,在四边形
中,
,
连接
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/4d087c9e-2c3e-4eab-b48c-c8f751bfbbd8.png?resizew=176)
(1)尺规作图:作线段
的垂直平分线交
于点E,交
于点F,连接
(不下结论、不写作法,保留作图痕迹);
(2)在(1)所作图中,证明四边形
为菱形,完成下列填空.
证明:∵
垂直平分
.
∴ ① ,
∴
.
∵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78192b9e9d4e38175e840233749443bd.png)
∴
,
.
∴.
②
∴
.
∴
③ ;即
.
∵
.
∴
.
又∵ ④
∴四边形
是 ⑤
∵
⑥
∴四边形
为菱形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c9a6255f54f395572a922c801aa490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe2f6543e06a25493855fbbc648be6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78192b9e9d4e38175e840233749443bd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/4d087c9e-2c3e-4eab-b48c-c8f751bfbbd8.png?resizew=176)
(1)尺规作图:作线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(2)在(1)所作图中,证明四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
证明:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
∴ ① ,
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b5545130a1bd6cdf8fbe8d3ea61b64.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78192b9e9d4e38175e840233749443bd.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fe458fa1cb28c6823bbd09def313af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2ae9575d7c560cab4a539f94f2f4fb.png)
∴.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ea36aae82612a5c81159ff463163b69.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076a5273440d800b96bfcaaa9970cc45.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404728d0ea2699c71e674f30dd984abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c525e0682103065f1ab3ae07b6b8c9e.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c9a6255f54f395572a922c801aa490.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a130e7c109e2196b97e1a76281bf3cf6.png)
又∵ ④
∴四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404728d0ea2699c71e674f30dd984abd.png)
∴四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
您最近一年使用:0次
名校
7 . 如图,在
中,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/df77a3df-1474-4f1f-ad8c-1c3a0b90ebe5.png?resizew=153)
(1)用尺规完成以下基本作图:作线段
的垂直平分线l,交线段
于点D,交
于E,连接
(不说明理由,只保留作图痕迹);
(2)在(1)所作的图形中,求证:
.
小明的思路是这样的:由中垂线的性质得到
,从而得到
,再证
,从而证得
,最后等量代换可得
.请根据这个思路补全下面的证明过程.
证明:
∵直线l是线段
的垂直平分线,且点E在直线l上 ∴ ① ∴![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897c3bec4b7e2be338c6faf41442f27d.png)
∵
∴
∴ ② ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9811b25b7f45e927c8dd4243603ee392.png)
∵
∴ ③ ∴![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062eeae4f31172ec99c10edc25697cad.png)
∵
∴ ④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/df77a3df-1474-4f1f-ad8c-1c3a0b90ebe5.png?resizew=153)
(1)用尺规完成以下基本作图:作线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(2)在(1)所作的图形中,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98de02d1d5b7ac04bce54be393218922.png)
小明的思路是这样的:由中垂线的性质得到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd260fb9d772c122dcb1df52cbe38ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897c3bec4b7e2be338c6faf41442f27d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57cb0d726cc25a350dc792b539ff2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3a6dcaf9f9e9a940b4a16f7ec2fc2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc1a8e1de618493faf62d1e75638a49.png)
证明:
∵直线l是线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897c3bec4b7e2be338c6faf41442f27d.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04234562e00479001573e570dd9ab66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9811b25b7f45e927c8dd4243603ee392.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f29e6ae6320b6606a95303b330b474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062eeae4f31172ec99c10edc25697cad.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c85049d1b45d788355df9f18fb38761.png)
您最近一年使用:0次
名校
8 . 在
中,作线段
的垂直平分线
交
于E、D两点,连
.若
的周长为15,
,则
的周长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ed1fce01430ae31294c29d626626f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae8221601c7bd5c51fd520615581fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/bed6d545-7726-426a-8d9c-8a15b6cddf5c.jpg?resizew=157)
您最近一年使用:0次
名校
9 . 如图,在平面直角坐标系中,点
、
的坐标分别为
,
,且
、
满足
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/2f312b0d-3b34-436f-92c9-7e5779a4b2fd.png?resizew=402)
(1)
________,
________;
(2)如图1,若点
是
轴上一点,且
的面积为6,求点
的坐标;
(3)如图2,点
是
外角平分线上一点,且点
的横坐标为4,过点
作
于点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4a90cfdbfa05577b6ec0b22739e7c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabe33b24e9cabf7a5530bc75d37da2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4044298008c1f48016d4d240e80a9d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/2f312b0d-3b34-436f-92c9-7e5779a4b2fd.png?resizew=402)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
(2)如图1,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)如图2,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3daae8ec60b2b1f7577dee687247cebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ecc07fd8b8629716394ad66c333a71.png)
您最近一年使用:0次
2024-01-03更新
|
134次组卷
|
2卷引用:重庆市外国语学校2023-2024学年八年级上学期期中数学试题
名校
10 . 如图,在
中,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/7c238964-2218-4cdd-b3e2-e045b72fcb5d.png?resizew=160)
(1)尺规作图:作
的垂直平分线交
于点E,交
于点D,连接
.(保留作图痕迹,不写作法,不用下结论);
(2)在(1)的条件下,若
平分
.求证:
,
证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
为
的垂直平分线,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
平分
,
①______
在
与
中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082530b4f2d3525ca4b4bed019d53dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
(②______)
③______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
为
的垂直平分线,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
④______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/7c238964-2218-4cdd-b3e2-e045b72fcb5d.png?resizew=160)
(1)尺规作图:作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/03902478df1a55bc99703210bccab910.png)
(2)在(1)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b28f28ced0531d1df34fcf04c6c67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8520a21b909d04f763d0f61dd74bc158.png)
证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.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/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b28f28ced0531d1df34fcf04c6c67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16834582e86f9c1030a4a4b316fab909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6949cee8636079470cfdaac047d42e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082530b4f2d3525ca4b4bed019d53dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9722deeb6a9300e959bf5deccc112ef3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.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/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32217457c4e96e2ef155cf15c1b65d97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8520a21b909d04f763d0f61dd74bc158.png)
您最近一年使用:0次