名校
1 . 如图,在
中,
,点P为
内一点,连接
,将线段
绕点C顺时针旋转
得到线段
,连接![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dce8847e9619a702d654625f675b665.png)
(1)用等式表示
与
的数量关系,并证明;
(2)当
时,
①直接写出
的度数为_______;
②若M为
的中点,连接
,依题意补全图形,用等式表示
与
的数量关系,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c28deca7c39932213e82df56abb9bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c34d0fe58cb1ba62970be0c6f6ad0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db824b982d21f953d8a7d17dcd1cc288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dce8847e9619a702d654625f675b665.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/10/d585b4fd-74fe-47e8-8763-9f4565d29297.png?resizew=247)
(1)用等式表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03aeb256dd7d6db06ae21acd0da1733b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fddda9e7f4d7140bf357d76c9e23d1.png)
①直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5592df1a366b5e3c34f352628eecd5b1.png)
②若M为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bc6a49edcaca9ebedf5432f7a58652.png)
您最近一年使用:0次
2023-10-09更新
|
326次组卷
|
4卷引用:北京市清华大学附属中学2022-2023学年九年级上学期开学考试数学试题
名校
2 . 阅读下面材料:
小元遇到这样一个问题:如图1,在正方形
中,点
分别为
边上的点,
,连接
,设
,
,
,则把关于
的一元二次方程
叫做正方形
的关联方程,正方形
叫做方程
的关联四边形.
探究方程
是否存在常数根
.
小元是这样思考的:要想解决这个问题,首先应想办法把这些分散的线段集中到同一条线段上.他先后尝试了平移、翻折、旋转的方法,发现通过旋转可以解决此问题.他的方法是把
绕点
顺时针旋转
得到
(如图2),此时
即是
.
请回答:
.
参考小元得到的结论和思考问题的方法,解决下列问题:
(1)如图1,若
,
,则正方形
的关联方程为 ;
(2)正方形
的关联方程是
,则正方形
的面积= .
小元遇到这样一个问题:如图1,在正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd36ccb78b25d51a9c3a0daf41539540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192155e6a3aade305b76b1eb7c75e30c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cbee60fd68646f609fbb8c145262992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60bf0c3638693e5ad144c29d93132d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c87552c82bfb7b26e2432706b204cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd6a84d994f86ef1e060e1b1183eeca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd6a84d994f86ef1e060e1b1183eeca.png)
探究方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd6a84d994f86ef1e060e1b1183eeca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
小元是这样思考的:要想解决这个问题,首先应想办法把这些分散的线段集中到同一条线段上.他先后尝试了平移、翻折、旋转的方法,发现通过旋转可以解决此问题.他的方法是把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc727c642cbc2181476b7dd8eca471e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e57a13c665af88f326c9890072bf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4eef107fa9d4cedabdf5906c627cce5.png)
请回答:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/10/3675131c-52a9-45ef-be74-babac8952ce2.png?resizew=331)
参考小元得到的结论和思考问题的方法,解决下列问题:
(1)如图1,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26ad70d2b3aac8604834d57dfc59bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a19338598965bb3856cdd0236bbf694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/affd64092c53a0e1bc9047d392f2b3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2023-10-09更新
|
257次组卷
|
2卷引用:北京十一晋元中学2022-2023学年九年级上学期开学考试数学试题
3 . 在
中,
,D为
的中点,过D作
于E,连接
,F为
的中点.
(1)图1中,
与
的数量关系是______,
______(用含
的式子表示);
(2)将
绕点A逆时针旋转至如图2所示位置,试判断(1)中的两个结论是否依然成立?若成立,请证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede86c08301cf1344bffdb8766dc2e1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/6/343756f6-475d-42ba-b982-85a781f30dfd.png?resizew=260)
(1)图1中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72d241dec20c547340d22924a818fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
您最近一年使用:0次
名校
4 . 如图,正方形
的边长为6,E,F分别是
,
边上的点,且
,将
绕点D逆时针旋转
,得到
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/304e8bbc-c536-4384-b0c3-a2ccc236cfa3.png?resizew=157)
(1)求证:
;
(2)当
时,求
的长.
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345c91c9e67e6ee00a872078ab17f094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b43490ca09467a4c8cd8cfe91c94e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366f51d41a3989f78882fb1358fa6119.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/304e8bbc-c536-4384-b0c3-a2ccc236cfa3.png?resizew=157)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4856846221136eadf96150f02199bc5.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
您最近一年使用:0次
2023-10-06更新
|
337次组卷
|
22卷引用:北京八中2019届九年级(上)期中数学模拟试卷
北京八中2019届九年级(上)期中数学模拟试卷北京一零一中教育集团2023-2024学年九年级上学期月考数学试题河南省信阳市第九中学2018届九年级上学期第二次月考数学试题广东省东莞市寮步镇香市中学2018届九年级上学期阶段考试数学试题湖北省宜城市2018届九年级上学期期中考试数学试题人教版九年级数学上册 第23章 旋转单元测试2018年秋九年级数学上册(武汉):期中检测题湖北省黄石市第八中学2019届九年级上期中检测数学试题【全国百强校】河北省武邑中学2019届九年级上学期期末考试数学试题湖北省黄石市第八中学2019届九年级上学期数学期中考试试卷福建省龙岩市永定三中2019届九年级(上)第一次月考数学试题安徽省宿州市埇桥区教育集团2019-2020学年九年级第一次段考数学试题湖北省黄石市黄石港区第十四中学2019-2020学年九年级上学期11月月考数学试题湖南省长沙市浏阳县2018-2019学年九年级下学期期中数学试题内蒙古自治区赤峰市翁牛特旗翁牛特旗乌丹第一中学2018-2019学年九年级上学期期中数学试题山东省日照市青岛路中学2021-2022学年九年级上学期10月月考数学试题黑龙江省齐齐哈尔市2022-2023学年九年级数学上学期第二次月考数学试卷天津市实验中学滨海学校2022-2023学年九年级上学期期中质量调查数学试题广西壮族自治区南宁市2022-2023学年九年级上学期期中数学试题天津市实验中学滨海学校2023-2024学年九年级上学期期中数学试题广东省江门市广雅中学2023-2024学年九年级上学期期中数学试题A卷2016-2017学年江苏省句容市华阳片八年级下学期第一次月考数学试卷
5 . 如图,在
中,
,
,点D在
上,以点A为中心,将线段
顺时针旋转
得到线段
,连接
.
(1)按要求作出图形,
______
(填
、
或
);
(2)若
,用等式表示线段
大小关系,并证明;
(3)若
,
,M为
的中点,求
的最小值.
![](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/cb2cf0e95fdf1fd8a5b01d3dfd905e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3737fbbd4948565798caaa7015da15c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/5/6b10d70b-bb18-44c5-97de-671825713db9.png?resizew=678)
(1)按要求作出图形,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060705794ef87cc71dac40c57f27b1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5157b42da58d55daad27d98b2fec15ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392cdb9d30684cce244bef94b8d861b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ac762a2899a58faa0d3ab44f1281fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/087552ab4d3a7bd1736a766ea4f8f8ab.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d03f73bec20b60bc7608972607f5a9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
您最近一年使用:0次
6 . 如图(1),P为
所在平面上一点,且
,此时
的和最小,称为
的费马距离.
(1)若点P是等边三角形三条高的交点,点P (填是或不是)该三角形的费马点.
(2)如图(2),分别以
、
为边向外作正
和正
,
和
相交于P点.求证:P点为
的费马点.
(3)若图(2)中,
,
,
,则
的费马距离= .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1eab88a16df610f20dd46a44ba098d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ed53a398b1d6b7b4abbb43a9abcf1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/15/947a1949-e316-4766-8310-82a9d6241c3f.png?resizew=350)
(1)若点P是等边三角形三条高的交点,点P (填是或不是)该三角形的费马点.
(2)如图(2),分别以
![](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/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若图(2)中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc490fd9c850622aa2beaf5d38d46459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
7 . 已知
和
都是等腰直角三角形,
,P为
的中点
(1)如图1,点A、B、D在同一条直线上,直接写出
与
的位置关系;
(2)将图1中的
绕点A逆时针旋转,当
落在图2所示的位置时,点C、D、P恰好在同一条直线上.
①在图2中,按要求补全图形,并证明
;
②连接
,交
于点F,判断线段
与
的数量关系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe071c0604afe2a8d77cb8ac6f175c08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/64c863fb-3d5c-4b1d-b3bb-755036adc805.png?resizew=437)
(1)如图1,点A、B、D在同一条直线上,直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)将图1中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
①在图2中,按要求补全图形,并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38308097081d2a7263f20f9a61c7794b.png)
②连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
您最近一年使用:0次
名校
8 . 在正方形网格中,A、B、C、D均为格点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144756680a62547ec77b257867f205b8.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144756680a62547ec77b257867f205b8.png)
您最近一年使用:0次
2023-09-23更新
|
269次组卷
|
18卷引用:北京市海淀区清华附中2021-2022学年九年级下学期月考数学试题
北京市海淀区清华附中2021-2022学年九年级下学期月考数学试题2020年山东省淄博市周村区九年级数学一模试题(已下线)2021年安徽省合肥市庐阳区中考阶段调研数学试卷(二)2021年安徽省合肥市庐阳区中考第二次模拟数学试卷2021年安徽省合肥市蜀山区中考二模数学试卷安徽省六安市金寨县2020-2021学年九年级下学期期中数学试题2021年山东省淄博市桓台县中考数学二模试卷 浙江省杭州市西湖区紫金港中学2021-2022学年九年级下学期3月月考数学试题(已下线)专题4.10 图形的相似章末十大题型总结(拔尖篇)-2023-2024学年九年级数学上册举一反三系列(北师大版)(已下线)专题23.10 图形的相似章末十大题型总结(拔尖篇)-2023-2024学年九年级数学上册举一反三系列(华东师大版)(已下线)专题4.10 相似三角形章末十大题型总结(拔尖篇)-2023-2024学年九年级数学上册举一反三系列(浙教版)(已下线)专题22.10 相似形章末十大题型总结(拔尖篇)-2023-2024学年九年级数学上册举一反三系列(沪科版)江苏省南京市玄武区外国语学校2020-2021学年八年级上学期期中数学试题河北省辛集市2020-2021学年八年级下学期期末考试数学试题江苏省淮安市淮安区2021-2022学年八年级上学期期中数学试题福建省龙岩市上杭县2021-2022学年八年级下学期期末数学试题山东省威海文登区三校2021-2022学年七年级上学期期中联考数学试题福建省福州市文博中学、现代中学、黎明中学三校联考2022-2023学年八年级上学期期末数学试题
名校
9 . 如图,在平行四边形
中,对角线
相交于点O,过点A做
于点E,延长
到点F,使得
,连接
.
(1)求证:四边形
是矩形;
(2)若
,
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989c75a3fd02e4971cab421c88de92f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f5dc11efe60b4fd9a13b1d6b83842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a893fc8b2e9d55c9cdf8aceb3827a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/3/256d87b3-6456-4456-b142-c8307a0455e2.png?resizew=160)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946c16d99496d31ce4d87301a4793393.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ace52b64e1e7dfc5211e033255b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214d99ce9f50286dcff41db85083c979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c6744b84509b256ada95d6c3cf0f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
2023-09-21更新
|
147次组卷
|
3卷引用:北京市海淀区清华大学附属中学上地学校2023-2024学年九年级上学期开学考试数学试题
名校
10 . 如图,
中,E、F是对角线
上的两点,且
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce1475f537b4ad21775bfaa16daa0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f40b3bf6b27f936e0747de92151a1f77.png)
您最近一年使用:0次
2023-09-18更新
|
278次组卷
|
10卷引用:北京市第十九中学2022-2023学年九年级上学期开学考试数学试题
北京市第十九中学2022-2023学年九年级上学期开学考试数学试题山东省济南市天桥区天桥区泺口实验学校2022-2023学年八年级下学期月考数学试题山东省济南市天桥区2022-2023学年八年级下学期期末数学试题新疆维吾尔自治区和田地区墨玉县2022-2023学年八年级下学期期中数学试题福建省泉州市永春县2022-2023学年八年级下学期期末数学试题四川省泸州市江阳区第十中学校2022-2023学年八年级下学期期中数学试题福建省厦门市杏南中学2022-2023学年八年级下学期期中数学试题福建省龙岩市第八中学2020-2021学年八年级下学期第一次月考数学试题福建省泉州市培元中学2022-2023学年八年级下学期期中数学试题福建省龙岩市新罗区龙岩莲东中学2023-2024学年八年级下学期期中数学试题