1 . 如图,在
中,
,
,试解决下列问题:
(1)在
边上找一点P,
边上找一点Q,使
最小;
(2)已知
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c646c683fbe522edb7ea54fd3ad873d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/15/ec996870-bcb7-469e-a664-44b01ae47e04.png?resizew=147)
(1)在
![](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/b566c7ac7c852dc138f9bc50ad4b09c6.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b566c7ac7c852dc138f9bc50ad4b09c6.png)
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2 . 如图,
的面积为4,
,
的平分线交
于点D,E,F分别是线段
和
上的动点,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e246bfce726aedecbbfc92286be4855.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/5/f62bc925-deda-4a0a-9dfa-178f25123be5.png?resizew=130)
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3卷引用:13.4 课题学习 最短路径问题
3 . 如图所示,在
中,
边的垂直平分线
交
的外角平分线
于点D,F为垂足,
于E,并且
.求证:
.
![](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/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3322a2ad9a95bdc9fc576a7a158d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb980da8e86b4cfd322616dc84fc6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d33dfc9cc55c98929d371def01aa696.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/6/85e58378-7102-437d-9bbb-86c8aec560b3.png?resizew=142)
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4 . 如图,在
中,
的平分线
与边
的垂直平分线
相交于点D,
,交
的延长线于点E,
,交
于点F,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935ad59079c158ea0f92018fc548e4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b49022a6f55817b5d7e3ab443b5491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d276d0010fd458383ea3dd61415e1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f8eebda19eded2b059774a8c2666c3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/5/ed6cc4dd-c81e-4398-a0ce-f5a55bb8cd0f.png?resizew=155)
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5 . 如图,
是
的平分线,
的垂直平分线交
于点F,交
于点G,交
的延长线于点E.求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/4a445f31-aa5c-4600-becc-d462fefe9e06.png?resizew=187)
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/4a445f31-aa5c-4600-becc-d462fefe9e06.png?resizew=187)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fed26111f78f74696b3d347196a63d5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a04b6b10b8b2788f026b95ce367d63.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b027d53067b9649fe91f43c30584700c.png)
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6 . 如图,在
中,
的垂直平分线
交
于点E,交
于点D,且
,
的周长等于
,则
的长为__________ .
![](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/411461db15ee8086332c531e086c40c7.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/18ca455e205c7102724e28803ff20bdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e184a38c9392d48457634f2a2a37816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/5/5aa2a181-5e17-4b0f-b413-cd9cf13d5c6e.png?resizew=100)
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7 . 如图,在
中,通过尺规作图,得到直线
和射线
,仔细观察作图痕迹,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/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c941a2d467928ae2f430dd7a97e3fba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c157441734cc2f1853bb3e15b631a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e31edc5b71c488ca9942d70d9298f01.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/5/edefbbb9-1095-4708-829d-1e24684429d5.png?resizew=160)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:13.3.1 等腰三角形
13.3.1 等腰三角形浙江省金华市义乌市七校期中联考2023-2024学年八年级上学期期中数学试题内蒙古自治区乌兰察布市集宁区集宁区亿利东方学校2023-2024学年八年级上学期期中数学试题(已下线)专题1.16 角平分线(题型分类拓展)-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)内蒙古通辽市科尔沁区2023-2024学年八年级上学期期末数学试题
8 . 如图,在
中,
垂直平分
,交
于点F,交
于点E,
,且
,连接
.
(1)若
,求
的度数.
(2)若
cm,
cm,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0215e13a9fb5574d5194aeb9507a98aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e792b0ef3d542237ed0903194597651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f79d7939c88e9702962e5917cad290.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/27/552ace73-ac7b-4bf8-abb6-71c7386c7ac6.jpg?resizew=118)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba0364b6dc914f33180821096aaa6ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c79f975d766486cd369ca057413e78.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40825a78af63a01d5f36280a622afe4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63292440a1cbb734f2b4a757c4cdeab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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7卷引用:第十七章 特殊三角形 17.1 等腰三角形冀教版八年级上册课后作业
第十七章 特殊三角形 17.1 等腰三角形冀教版八年级上册课后作业山西省朔州市第四中学2022~2023学年八年级数学上学期期末综合评估河北省邢台市南宫市2022-2023学年八年级上学期期末数学试题(已下线)专题01 勾股定理(五大类型)(题型专练)-2023-2024学年八年级数学上册《知识解读·题型专练》(苏科版)(已下线)专题01 勾股定理(五大类型)(题型专练)-2023-2024学年八年级数学上册《知识解读·题型专练》(北师大版)福建省城厢区华林学校2021-2022学年八年级上学期期末数学试题河北省霸州市部分学校2023-2024学年八年级上学期期中数学试题
名校
9 . 如图,在
中,
,
.
的平分线与
的垂直平分线交于点O,点E、F分别在边
上,点C沿
折叠后与点O重合,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/456e0f77d83975fdbdb60b499cb5b521.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/887721a843b2dc8e947cc42d09868e33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcae9d00980803e5955228d1e217abe.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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26卷引用:人教版2020年八年级上学期数学第十三章轴对称 13.3 等腰三角形 13.3.1 等腰三角形 课时1 等腰三角形的性质
人教版2020年八年级上学期数学第十三章轴对称 13.3 等腰三角形 13.3.1 等腰三角形 课时1 等腰三角形的性质(已下线)课时练习13. 3.1 等腰三角形(一)2014-2015学年贵州省毕节地区织金县七年级下学期期末模拟数学试卷江苏省南通市八一中学2018-2019学年八年级上学期第一次月考数学试题【校级联考】黑龙江省伊春市嘉荫县2018-2019学年八年级上学期期中考试数学试题【区级联考】重庆市北碚区2018-2019学年八年级上学期期末调研抽测数学试题黑龙江省齐齐哈尔市第二十一中学2019-2020学年八年级上学期期中数学试题河北省邯郸市邯郸市锦玉中学2019-2020学年八年级上学期期中数学试题河南省信阳市息县2019-2020学年八年级上学期期末数学试题黑龙江省黑河市三县区(嫩江县、逊克县、爱辉区)2019-2020学年八年级上学期期末数学试题山东省威海市文登区八校联考2019-2020学年九年级下学期期中数学试题2019年天津市第十一中学中考数学二模试题辽宁省朝阳市建平县2019-2020学年七年级下学期期末数学试题河南省淮滨县实验学校2019-2020学年八年级上学期期末测试一数学试题云南省昆明市官渡区外国语学校2020-2021学年八年级上学期12月月考数学试题黑龙江省齐齐哈尔市第二十八中学2021-2022学年八年级上学期期中数学试题广西壮族自治区防城港市上思县2021-2022学年八年级上学期期末数学试题广西防城港地区2021-2022学年八年级上学期期末考试数学试题(已下线)第2章 对称图形 单元综合检测(难点)(练习)-2022-2023学年八年级数学上册同步精品课堂(苏科版)黑龙江省七台河市勃利县2022-2023学年八年级上学期期末考试数学试题河南省郑州市金水区郑州励德双语学校2022-2023学年八年级下学期期中数学试题福建省厦门市槟榔中学2020-2021学年八年级上学期期中数学试题广东省广州市培正中学2023-2024学年八年级上学期期中数学试题(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)广东省广州市越秀区知用学校2023-2024学年八年级上学期期中数学试题河南省焦作市温县2023-2024学年八年级下学期4月期中考试数学试题
10 . 如图,在
中,
于D,
.在不添加辅助线的情况下,图中全等三角形共有___________ 对.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6703a78d8d161ec1b7bcd5dcfe45b22e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/15/c7427492-b483-485c-947b-744f9d730d4a.jpg?resizew=102)
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