1 . 如图,在正方形
中,点
在
上,
于点
,连接
,若
,则
的长为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64e8b9b6534030574a80c918c8ecbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aadaf1e63f9bdd96f05d0effe734b5cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/8bd3e796-6db1-4883-92c0-d62bdc9fef65.png?resizew=118)
您最近一年使用:0次
名校
2 . 如图,
中边
,高
,正方形
的四个顶点分别为
三边上的点(点
,
为
上的点,点
为
上的点,点
为
上的点),则正方形
的边长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ebb33adb2310a6e03918761e68204a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ee826937d2add7a93aaa1422f8b736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f4248e8021130ab60365e3d2e9a694.png)
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f4248e8021130ab60365e3d2e9a694.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/4350d03f-5dca-48d1-afa8-6444887ff97b.png?resizew=141)
您最近一年使用:0次
2024-03-13更新
|
46次组卷
|
6卷引用:浙江省绍兴市诸暨市2022-2023学年九年级上学期期末数学试卷
浙江省绍兴市诸暨市2022-2023学年九年级上学期期末数学试卷浙江省绍兴市诸暨市璜山镇中心学校2022-2023学年九年级上学期期末数学试题山东省青岛市崂山区2023-2024学年九年级上学期期中数学试题四川省遂宁市射洪市射洪中学校2023-2024学年九年级上学期期中数学试题浙江省金华市武义实验中学2023-2024学年上学期九年级数学第二次作业检查试题(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)
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.![]() |
您最近一年使用:0次
2024-03-11更新
|
157次组卷
|
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
2023九年级上·全国·专题练习
4 . 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)
您最近一年使用:0次
2024-03-11更新
|
194次组卷
|
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)
5 . 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)
您最近一年使用:0次
6 . 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)
您最近一年使用:0次
2024-03-10更新
|
153次组卷
|
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
7 . 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.![]() |
您最近一年使用:0次
8 . 如图,
是
的角平分线,在边
上取点
,使
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/dd720ee6-3e02-4544-9959-873b82ce353c.png?resizew=170)
(1)求证:
.
(2)若
,
,求
的度数.
![](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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dce8f72bcf4c0beea25749a7784d28.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/dd720ee6-3e02-4544-9959-873b82ce353c.png?resizew=170)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71b7cba838383de4035a0e73ae3c9c4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95e79119575f887f60f319e6861116a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa2834b1e2386cd465a4e09e0e989354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d19f963f7c803bcfcbb265ec6d4304.png)
您最近一年使用:0次
23-24九年级上·浙江·期末
名校
9 . 如图,四边形
内接于
,对角线
平分
,连接
交
于点E.
.
(2)若
,设
的面积为
,
的面积为
,
,求
的值.
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95d478339f8c0b89cb2e7b4957778409.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8b0d92ec67675317c97f8c499846d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b5f2e5df0cde0fa30de2e14e627d68.png)
您最近一年使用:0次
23-24九年级上·浙江·期末
10 . 综合实践,
问题背景:借助三角形的中位线可构造一组相似三角形,若将它们绕公共顶点旋转,对应顶点连线的长度存在特殊的数量关系,数学小组对此进行了研究.如图1,在
中,
,分别取
,
的中点D,E,作
.如图2所示,将
绕点A逆时针旋转,连接
,
.
旋转过程中,线段
和
的长度存在怎样的数量关系?写出你的猜想,并证明.
(2)性质应用
如图3,当
所在直线首次经过点B时,求
的长.
(3)延伸思考
如图4,在
中,
,分别取
,
的中点D,E.作
,将
绕点B逆时针旋转,连接
,
.当边
平分线段
时,求
的值.
问题背景:借助三角形的中位线可构造一组相似三角形,若将它们绕公共顶点旋转,对应顶点连线的长度存在特殊的数量关系,数学小组对此进行了研究.如图1,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c509c523e005eebfa5f60cb09766986c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3182db896bc2462331796e2a6108363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
旋转过程中,线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3182db896bc2462331796e2a6108363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
(2)性质应用
如图3,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
(3)延伸思考
如图4,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981ff64a7bde2e45a97b9f089b6ff05d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
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2024-03-09更新
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4卷引用:【2024年】【初三】【期末】【拱墅区】【数学】【徐娴静收集】
(已下线)【2024年】【初三】【期末】【拱墅区】【数学】【徐娴静收集】2024年山东省济南市九年级学业水平考试数学模拟预测题2024年山东省聊城市莘县九年级下学期期中(一模)数学试题2024年山东省聊城市莘县九年级中考第一次模拟考试数学试题