1 . 如图,在矩形的
边上取一点
,将
沿直线
折叠得到
,此时点
的对称点
恰好落在边
上,G为
中点,连接BG分别与
,
交于M,N两点,且
,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/25/977bc5bc-cc00-41fb-a9f6-16132cfdeb6a.png?resizew=157)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5627b81d85bbe3bc00f8d070bfd6fc.png)
(2)猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6125b1aad8c8f7f18ab1387b430709c.png)
您最近一年使用:0次
2 . 如图,
中,
,
,
为
延长线上一点,点
在
上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/14/22fd489f-185b-4222-8bea-47d15d61c5ba.png?resizew=166)
(1)求证:
;
(2)若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3570a95f68349fcd9417fcda62e78e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce1475f537b4ad21775bfaa16daa0c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/14/22fd489f-185b-4222-8bea-47d15d61c5ba.png?resizew=166)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e08ae10555d1bb6f4e03f95069299b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9817d6eaf6f9454152b2891f33aaa760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752fa646a2d9cfca34001748445301c9.png)
您最近一年使用:0次
2023-04-02更新
|
288次组卷
|
3卷引用:2023年广西南宁市西乡塘区第三十七中学中考一模数学试题
3 . 如图,在正方形
中,
,
分别在边
,
上,
是等边三角形,连接
交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/27/4f059a0b-1375-450b-bf23-3e53dc0f49c1.png?resizew=148)
(1)求证:
;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/27/4f059a0b-1375-450b-bf23-3e53dc0f49c1.png?resizew=148)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d96a5d40d0aea9f4398ca4d0fe9b0dd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377b5f7197e5bd1afeea4d931307956a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
2022-12-24更新
|
164次组卷
|
7卷引用:2021年广西南宁市宾阳县初中毕业班第一次适应性测试数学试题
4 . 如图,在菱形
中,
,点
,
分别在
,
边上,且
,
与
交于点
,若
,
,则四边形
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf857e03d4320c999d328fd657c2d412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26e32412868f3dcb5cad62c8a836778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6098f2b87074393048af9675d7a786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9255397646c9e4c5744c9ba2ac29f41.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/dfb27be2-a55a-4fb6-b2c3-b729f490fac9.png?resizew=160)
您最近一年使用:0次
2022-12-05更新
|
689次组卷
|
4卷引用:2023年广西玉林市中考数学模拟试卷(二)
5 . 如图,在正方形ABCD中,若AD=5,在边AB上取点E,使AE=1,又以点D为圆心,DE作⊙D,交BC的延长线于点F,连接EF交DC于点G.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/10/b5d41eb6-b2a4-41cb-ad08-54b420015ad3.png?resizew=140)
(1)求证:∠ADE=∠CDF;
(2)请求出EF的长;
(3)请求出GC的长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/10/b5d41eb6-b2a4-41cb-ad08-54b420015ad3.png?resizew=140)
(1)求证:∠ADE=∠CDF;
(2)请求出EF的长;
(3)请求出GC的长.
您最近一年使用:0次
6 . 如图,已知点B,E,C,F在同一条直线上,AC与DE交于点M,
,
,
.
![](https://img.xkw.com/dksih/QBM/2022/5/7/2974196893548544/2975580314066944/STEM/21374ad1-97e8-48e2-ae6c-44b17531defe.png?resizew=207)
(1)证明:
;
(2)若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fec9e3bf7ff287df2cbdff8addfaf5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e570eabbf1b9390fe78cbb37995c60f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f48d1cbd6610c5daa16ea33deab9406.png)
![](https://img.xkw.com/dksih/QBM/2022/5/7/2974196893548544/2975580314066944/STEM/21374ad1-97e8-48e2-ae6c-44b17531defe.png?resizew=207)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2086ddf65b72872686b0823476aad559.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e9e7c56e8eeda044fb55396088816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ea8be9535f942121f6f6d873d03272.png)
您最近一年使用:0次
11-12八年级上·吉林辽源·期末
名校
7 . 如图,AD平分∠BAC,DE⊥AB于点E,DF⊥AC于点F.
求证:AD垂直平分EF.
求证:AD垂直平分EF.
![](https://img.xkw.com/dksih/QBM/2021/12/4/2865285059698688/2867239790223360/STEM/5783e526-a39b-4912-9d0f-38fc61913a3a.png?resizew=223)
您最近一年使用:0次
2021-12-07更新
|
521次组卷
|
21卷引用:【区级联考】广西防城港市港口区2019年中考二模数学试题
【区级联考】广西防城港市港口区2019年中考二模数学试题(已下线)2011-2012学年吉林省东丰县八年级上学期期末考试数学试卷2015年课时同步练习(浙教版)八年级上2.2等腰三角形22015-2016学年河北省秦皇岛卢龙八年级上学期期中考试数学试卷2015-2016学年江苏省句容市八年级上学期期中考试数学试卷2015-2016学年江苏省镇江市句容市八年级上学期期中数学试卷北师大版八年级数学下册 第一章 三角形的证明 单元检测试题新疆维吾尔自治区乌鲁木齐市沙依巴克区第四中学2019-2020学年八年级上学期期中数学试题天津市河东区第三学区片联盟2018-2019学年八年级上学期期中数学试题江苏省南京市第一中学2019-2020学年八年级上学期期中数学试题湖北省武汉市武昌区七校联考2019-2020学年八年级上学期期中数学试题河北省邢台市2018-2019学年八年级上学期期末数学试题山东省青岛市李沧区2018-2019学年八年级下学期期中数学试题云南省大理白族自治州2020-2021学年八年级上学期期末数学试题(已下线)期中检测卷04(冲刺满分)-【练好重点题】2021-2022学年八年级数学上学期综合训练卷(人教版)陕西省延安市富县2021-2022学年八年级上学期期中数学试题广东省梅州市大埔县三河中学2022-2023学年八年级下学期开学考试数学试题江苏省徐州市铜山区黄集镇中心中学2023-2024学年八年级上学期第一次质量检测数学试题云南省昆明市昆明市第五中学2023-2024学年八年级上学期期中数学试题第5章 3 课时3 角平分线的性质(已下线)专题5.4 简单的轴对称图形——角平分线(分层练习)-2023-2024学年七年级数学下册基础知识专项突破讲与练(北师大版)
名校
8 . 如图,正方形ABCD中,点E、F分别在BC、CD上,且△AEF是等边三角形.
求证:CE=CF.
求证:CE=CF.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/8074fa2d-9320-4b60-9f96-76a9bffc75ed.png?resizew=186)
您最近一年使用:0次
2021-03-21更新
|
322次组卷
|
3卷引用:2021年广西柳州市柳南区中考数学三模试题
9 . 如图,在正方形
中,
,
,那么
等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/3/93d12cee-4c43-4dfa-a951-986ceabd104c.png?resizew=132)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/044416eb1adeb9ecc19afb326b0374ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9f73a836db97338466be71fc52221b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5567eab2f0af611b817cd26a56796cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/3/93d12cee-4c43-4dfa-a951-986ceabd104c.png?resizew=132)
A.45° | B.54° | C.56° | D.64° |
您最近一年使用:0次
10 . 在矩形
中,
为
的平分线.
(1)如图①,若矩形
是正方形,
,求
的长;
(2)如图②,若
,
,求
的长;
(3)如图②,若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246a86f34603eaf2e6a948681b831b0d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/28/e078a534-80c8-41ba-9d84-de6bf3d12702.png?resizew=260)
(1)如图①,若矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
(2)如图②,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
(3)如图②,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d42e97eee705d164e6ac6de9ecd6d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a88b719166fcc1431f876bc8c5656c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
您最近一年使用:0次