1 . (1)如图1,在矩形
中,
,
,点E为边
上一点,沿直线
将矩形折叠,使点C落在
边上的点
处.求
的长;
(2)如图2,展开后,将
沿线段
向右平移,使点
的对应点与点B重合,得到
,
与
交于点F,求线段
的长;
(3)在图1中,将
绕点
旋转至A,
,E三点共线时,请直接写出
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c92b5799d12ea37de46d7c942ce7a9.png)
(2)如图2,展开后,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99fbe87b1253e909fea69ab2192fbe94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ab0d4fc7d64bd12d32f21ab220ef55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cece895cbddf9d1f37f75e3b6346edda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(3)在图1中,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99fbe87b1253e909fea69ab2192fbe94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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9卷引用:河南省南阳市镇平县2023-2024学年九年级上学期期末数学试题
河南省南阳市镇平县2023-2024学年九年级上学期期末数学试题2024年安徽省阜阳界首市第五中学中考一模数学试题湖北省随州市广水市2023-2024学年九年级下学期月考数学试题2024年3月湖北省随州市广水市中考一模数学试题河南省南阳市宛城区第十九中学校2023-2024学年九年级下学期第一次月考数学试题(已下线)重难点03特殊四边形综合题(4大题型+典例剖析+培优争分练)-2024年中考数学【热点·重点·难点】专练(安徽专用)(已下线)专题10 三角形压轴题综合-2024年中考数学二轮热点题型归纳与变式演练(全国通用)(已下线)专题13几何类比探究题型(4大模型+解题技巧)-2024年中考数学答题技巧与模板构建(全国通用)2024年河南省周口市沈丘县联考终极一考卷三模数学试题
名校
2 . 如图
是
的中线,E是
上一点,且
,
的延长线交
于点F,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
___________ .
![](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/940099db7ffe6b3f7e70afcfba66750a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2c2491775ca69781533231ea6700a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/8/cfa6ab45-c2fb-4153-bb87-57ae826f61c4.png?resizew=164)
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8卷引用:湖北省孝感市云梦县实验外国语学校2021-2022学年九年级期末数学试题
湖北省孝感市云梦县实验外国语学校2021-2022学年九年级期末数学试题四川省成都七中实验学校2020届九年级上学期入学考试数学试题上海市西南模范中学2018-2019学年九年级上学期10月月考数学试题(已下线)专题27.9 平行线分线段成比例(巩固篇)(专项练习)-2021-2022学年九年级数学下册基础知识专项讲练(人教版)(已下线)专题6.19 作平行线求相关线段长或比值(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(苏科版)北京市昌平区双城融合学区2023-2024学年九年级上学期期中数学试题(已下线)专题02 探索相似三角形的判定的条件(五大类型)(题型专练)-2023-2024学年九年级数学下册《知识解读·题型专练》(人教版)北京市昌平区融合学区(第三组)2023 - 2024学年九年级上学期期中数学试题
3 . 如图,在
中,
,垂足为D.如果
,那么
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ddb186d607fa9f4b096ece9bff8e2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209fb4e24900f25b2e163d3beed3ebd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0bb9e49f8f8a2cd06311bbc45eaadd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7卷引用:四川省宜宾市叙州区2022-2023学年九年级上学期期末数学试题
四川省宜宾市叙州区2022-2023学年九年级上学期期末数学试题四川省宜宾市叙州区叙州区龙文学校2023-2024学年九年级上学期12月月考数学试题(已下线)第02讲 解直角三角形(知识解读+真题演练+课后巩固)-2023-2024学年九年级数学下册《知识解读·题型专练》(苏科版)(已下线)专题02 解直角三角形(六大类型)(题型专练)-2023-2024学年九年级数学下册《知识解读·题型专练》(浙教版)2024年河南省洛阳市偃师九年级一练模拟数学试题2024年河南省洛阳市偃师市中考数学一练模拟试题2024年湖南省新宁县水庙镇中心学校中考模拟数学试题
23-24九年级上·浙江·期末
4 . 综合与实践
探究主题 | 直角三角板与圆 |
探究背景 | 学习了《圆周角》中的推论:“直径所对的圆周角等于![]() ![]() |
探究 任务1 | 找到画直径的简单方法:把直角顶点放在圆上,连接两直角边与圆的两个交点,连两交点的连线是直径.请你说出其中原理:____________. |
探究 任务2 | 用电脑作图工具,对直角顶点在圆外的情况进行动态模拟,发现:无论直角顶点在圆外如何运动,只要两直角边与圆有两个交点,两条直角边所夹的两段弧的度数差不变,为![]() ![]() ![]() 证:如图3,连接 ![]() ![]() 又 ![]() ![]() ![]() ![]() 探究任务:运用 ![]() ![]() |
探究 任务3 | 当直角顶点运动到圆内时如图4,直角![]() ![]() ![]() 你的猜想:_________(可以用文字描述,也可以结合图形用几何语言描述) 证明: |
探究 任务4 | 各研究小组进行拓展研究比赛,其中高斯研究小组提出问题: 如图,若弦 ![]() ![]() 你的解答是: |
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5 . 初识图形
(1)如图1,E、F分别为正方形
的
边和
边上的点,连接
、
,且
.则
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/eb0dbac1-6b60-459b-996e-58c19514e1c9.png?resizew=97)
(2)如图2,矩形
中,点E、F分别在边
、
上,连接
、
,且
,
,
,则
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/f15a1ff0-7ef2-4023-b4b1-9470e247a643.png?resizew=120)
类比探究
(3)如图3,
中,D、F分别为
、
边上的点,
,
,
,连接
,
交
于点E.求
长.请说明理由.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/99fb2a3d-f8b5-4e69-9202-b25da3c07ac6.png?resizew=167)
拓展应用
(4)如图4,在矩形
中,E、F分别为
和
边上的一点,以
为折痕,将四边形
翻折,交
于P和Q,A和B的翻折后的位置分别是H和G.
,
,
,
.请直接写出折痕
的长.
(1)如图1,E、F分别为正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61fe81d0b136fc2acc97ab50ffbf6edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8b82511bc8d7d9e419e58b909d4e730.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/eb0dbac1-6b60-459b-996e-58c19514e1c9.png?resizew=97)
(2)如图2,矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8aed88ad640f3d76735f1e5dbc04b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad4c0ba3a6750537789844d0ec419d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3820f59016872ed88e551edc81cd8d42.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/f15a1ff0-7ef2-4023-b4b1-9470e247a643.png?resizew=120)
类比探究
(3)如图3,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.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/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4494a85de0be0b97a69348115aef8513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39b13d187b25461d85a3b8d10c7b678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/99fb2a3d-f8b5-4e69-9202-b25da3c07ac6.png?resizew=167)
拓展应用
(4)如图4,在矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/369eb8ad56da7dc1cdb7c43762be4bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d00be47dcb89793f14a2fd10f4c522b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95f5a1bc2d95dea3a21d2c5c8c9f39e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d7936e14ebc8e1b32d447e93a227c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897b160f090ad91f5d33f69376f7e8b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/f545de13-80ec-43b8-8c8b-3d810484bc73.png?resizew=130)
您最近一年使用:0次
2023九年级上·全国·专题练习
6 . 如图,在
中,
,高
,正方形
一边在
上,点
分别在
上,
交
于点
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b939af5ba06e279cce39396aaf0fae06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ace52b64e1e7dfc5211e033255b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
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9卷引用:山东省烟台市经开区2022-2023学年八年级下学期期末数学试题
山东省烟台市经开区2022-2023学年八年级下学期期末数学试题山东省烟台市烟台经济技术开发区2022-2023学年八年级下学期期末数学试题(已下线)第02讲 相似三角形的判定与性质(知识解读+真题演练+课后巩固)-2023-2024学年九年级数学上册《知识解读·题型专练》(北师大版)(已下线)第02讲 相似三角形的判定与性质(知识解读+真题演练+课后巩固)-2023-2024学年九年级数学上册《知识解读·题型专练》(浙教版)(已下线)专题02 相似三角形的判定与性质(六大类型)(题型专练)-2023-2024学年九年级数学上册《知识解读·题型专练》(浙教版)(已下线)第03讲 相似三角形的性质(知识解读+真题演练+课后巩固)-2023-2024学年九年级数学下册《知识解读·题型专练》(人教版)(已下线)专题03 相似三角形的性质(四大类型)(题型专练)-2023-2024学年九年级数学下册《知识解读·题型专练》(苏科版)(已下线)第03讲 相似三角形的性质(知识解读+真题演练+课后巩固)-2023-2024学年九年级数学下册《知识解读·题型专练》(苏科版)(已下线)重难点06 相似三角形模型及其压轴类型(8大题型+满分技巧+限时分层检测)-2024年中考数学【热点·重点·难点】专练(广东专用)
7 . 如图,在△ABC中,点D,E,F分别在边
上,连接
,已知四边形
是平行四边形,
.若
的面积为1,求平行四边形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3bcd1354d120c42770572a3f5747241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc86286cc87af159866966208db78729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e904f5b316b9ba89599fb789dd9b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dc9be501a12b1cc2893eed01fc9102a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e904f5b316b9ba89599fb789dd9b09.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/b69b2ff3-380e-4e81-ab7e-34c1202c25a7.png?resizew=138)
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8 . 如图,在正方形
中,点E是
边的中点,
的垂直平分线分别交
,
边于点F,G,垂足为点H.若
,则
的长为 __ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
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2024-03-10更新
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152次组卷
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5卷引用:山西省太原市2023-2024学年九年级上学期期末数学试题
山西省太原市2023-2024学年九年级上学期期末数学试题(已下线)第06讲 正方形的性质和判定(知识解读+达标检测)-2023-2024学年八年级数学下册《知识解读·题型专练》(苏科版)2024学年贵州省毕节市织金县部分学校九年级下学期一模考试数学试题(已下线)第10讲 专题5 正方形中的三大模型-【帮课堂】2023-2024学年八年级数学下册同步学与练(人教版)(已下线)专题05 三角形中的证明与计算问题-2024年中考数学二轮热点题型归纳与变式演练(江苏专用)
23-24九年级上·浙江·期末
9 . 如图,在
中,
平分
,点
在边
上,且
.若
,
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/d674c8d6-88da-4475-998c-ca36ddc08da8.png?resizew=176)
![](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/7cbce11aa19b8bd2bf6ee5a834e005de.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/102e836344156ea835d7d4e9b4120fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b515965c22d2950b592c096c6e3bdfd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c3f12229161dd431f7ffdbe7bcfe0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/d674c8d6-88da-4475-998c-ca36ddc08da8.png?resizew=176)
A.6 | B.![]() | C.![]() | D.![]() |
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