20-21八年级上·全国·单元测试
1 . 如图,CE是△ABC的外角∠ACD的平分线,且CE交BA的延长线于点E.
![](https://img.xkw.com/dksih/QBM/2020/9/2/2541347118006272/2546674395045888/STEM/8a1be4ddec2a4f1390e1a0efc0b96ccc.png?resizew=149)
(1)若∠B=35°,∠E=25°,求∠BAC的度数;
(2)请你写出∠BAC、∠B、∠E三个角之间存在的等量关系,并写出证明过程.
![](https://img.xkw.com/dksih/QBM/2020/9/2/2541347118006272/2546674395045888/STEM/8a1be4ddec2a4f1390e1a0efc0b96ccc.png?resizew=149)
(1)若∠B=35°,∠E=25°,求∠BAC的度数;
(2)请你写出∠BAC、∠B、∠E三个角之间存在的等量关系,并写出证明过程.
您最近一年使用:0次
2 . 如图,在等边三角形ABC中,AD⊥BC于点D,BD=2,以AD为一边向右作等边三角形ADE.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/5bba0a0c-fa6d-4a6c-ace0-a6e9df313613.png?resizew=144)
(1)求△ABC的周长;
(2)判断AC、DE的位置关系,并给出证明.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/5bba0a0c-fa6d-4a6c-ace0-a6e9df313613.png?resizew=144)
(1)求△ABC的周长;
(2)判断AC、DE的位置关系,并给出证明.
您最近一年使用:0次
2019-11-27更新
|
152次组卷
|
4卷引用:四川省南充市营山县化育初级中学校2020-2021学年八年级上学期期中数学试题
3 . 如图1,点
是线段
上的动点(点
与
不重合),分别以
为边向线段
的同一侧作正
和正
.
![](https://img.xkw.com/dksih/QBM/2019/9/26/2299056727998464/2299619152109568/STEM/0da33e0761964ba9abfe44555e4b03c3.png?resizew=353)
(1)请你判断
与
有怎样的数量关系?请说明理由;
(2)连接
,相交于点
,设
,那么
的大小是否会随点
的移动而变化?请说明理由;
(3)如图2,若点
固定,将
绕点
按顺时针方向旋转(旋转角小于
),此时
的大小是否发生变化?(只需直接写出你的猜想,不必证明)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6074284a3d33225adde446bed11b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37735b198b936cf9110234f097f8963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e2a5a8708c06d509c766863a4d6279.png)
![](https://img.xkw.com/dksih/QBM/2019/9/26/2299056727998464/2299619152109568/STEM/0da33e0761964ba9abfe44555e4b03c3.png?resizew=353)
(1)请你判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d93949d8a15aca4e79cedb978590571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6fba98582208531dc56afebec7486a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)如图2,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e2a5a8708c06d509c766863a4d6279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e7a123c9cc0e058db28841fb0edcf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2019-09-27更新
|
320次组卷
|
2卷引用:四川省达州市渠县2018-2019学年七年级下学期期末数学试题
真题
名校
4 . 在等腰直角△ABC中,∠ACB=90°,P是线段BC上一动点(与点B、C不重合),连接AP,延长BC至点Q,使得CQ=CP,过点Q作QH⊥AP于点H,交AB于点M.
(1)若∠PAC=α,求∠AMQ的大小(用含α的式子表示).
(2)用等式表示线段MB与 PQ之间的数量关系,并证明.
(1)若∠PAC=α,求∠AMQ的大小(用含α的式子表示).
(2)用等式表示线段MB与 PQ之间的数量关系,并证明.
![](https://img.xkw.com/dksih/QBM/2017/12/6/1832653009895424/1836296477679616/STEM/2b228d5d-2d9e-4ff8-b435-e2af65614300.png?resizew=250)
您最近一年使用:0次
2017-12-11更新
|
2441次组卷
|
20卷引用:四川省达州市渠县第二中学2018-2019学年八年级下学期期中数学试题(北师大版)
四川省达州市渠县第二中学2018-2019学年八年级下学期期中数学试题(北师大版)北京市2017年数学中考真题(已下线)2年中考1年模拟 第七篇 专题复习篇 专题36 动点综合问题(已下线)2年中考1年模拟 第七篇 专题复习篇 专题38 开放探究问题(已下线)2年中考1年模拟 第四篇 图形的性质 专题18 等腰三角形与直角三角形(已下线)2年中考1年模拟 第四篇 图形的性质 专题19 全等三角形中考数学图形的性质过关演练(五)(已下线)【万唯原创】锐角三角函数及其应用·基础必练(三)浙江省宁波市镇海区蛟川书院2019-2020学年八年级上学期期末数学试题湖南省怀化市2021年初中学业水平考试数学综合检测卷二【一题多解】【第1课】 【基本图形助力全等变换,妙解纷呈】 初中数学 初中数学解题研究(第2辑:奇思妙解几何题)北京市昌平区2021-2022学年九年级上学期期中质量监控数学试卷(A)北京市海淀区师达中学2021-2022学年九年级下学期4月月考数学试题江西省九江市湖口县2021-2022学年八年级下学期期中数学试题(已下线)第3章 勾股定理综合测试卷 -【帮课堂】2022-2023学年八年级数学上册同步精品讲义(苏科版)北京市昌平区2021-2022学年九年级上学期期中数学B卷北京市朝阳区北京汇文中学垂杨柳分校2021-2022学年八年级下学期数学期中考试卷(已下线)专题7.9 平行线的证明(全章复习与巩固)(知识讲解)-2022-2023学年八年级数学上册基础知识专项讲练(北师大版)安徽省蚌埠第一实验学校2022-2023学年八年级下学期期中数学质量检测北京市第一六六中学2023-2024学年八年级下学期月考数学试题
5 . 如图1,
,将线段
平移至线段
,点
(不与点
重合)在线段
上.
,求
的度数;
(2)求证:
;
(3)如图2,已知点
在
上,
分别交
的延长线于点
,垂足为点
.设
,且
满足
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f837ecfc80a3cfbfca0fec8aea0e736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2ee75a234ac05a3225e49ddd8c5065.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2f350da33df321cfd90590faeaa034.png)
(3)如图2,已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b849f439abcb729ee6c42be9dffcc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1f420f45737b790d1bc562685edeb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ba8c4cd0fee3d400ef3abd7a7a0acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c128c0be6548dc167c610bd966044f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f704efe5af6ac0c9e4a72e89c70ecc1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8bbe96328ed5c1ee69cc17ccc6b06d6.png)
您最近一年使用:0次
名校
6 . 如图①,在
中,延长AC到D,使
,E是AD上方一点,且
,连接
.
![](https://img.xkw.com/dksih/QBM/2024/3/11/3451245651001344/3452007717650432/STEM/aa37f2d50d0542f081b35083a0642798.png?resizew=554)
(1)求证:
是等腰三角形;
(2)如图①,若
,将
沿直线
翻折得到
,连接
和
,
与
交于F,若
,求证:F是
的中点;
(3)在如图②,若
,
,将
沿直线
翻折得到
,连接
交
于F,交
于G,若
,
,求线段
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4a2a127d89d50d3fde881a9b58ef0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1857fd0d79fb8cbb8045e949984104e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://img.xkw.com/dksih/QBM/2024/3/11/3451245651001344/3452007717650432/STEM/aa37f2d50d0542f081b35083a0642798.png?resizew=554)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
(2)如图①,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d30252720ff0a2b1f105523e9aa3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926d2094777538ba6a70ea65d5061ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f0ae0d8e74c9ca1708ce83c36c94df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926d2094777538ba6a70ea65d5061ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c077d15159e66b99475428c0076a872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926d2094777538ba6a70ea65d5061ef7.png)
(3)在如图②,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d30252720ff0a2b1f105523e9aa3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926d2094777538ba6a70ea65d5061ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3d296e0d7154a170cb7d3ae42989b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a320a33ee2c9a87642264a06b47d9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
您最近一年使用:0次
2024-04-08更新
|
184次组卷
|
3卷引用:四川省成都市武侯区成都市玉林中学2023-2024学年八年级下学期4月月考数学试题
四川省成都市武侯区成都市玉林中学2023-2024学年八年级下学期4月月考数学试题湖南省张家界市慈利县2023-2024学年八年级上学期期末数学试题(已下线)特色题型专练10 三大运动-翻折-备战2024年中考数学考试易错题(江苏专用)
7 . 如图,已知
为等边三角形,D,E分别是边
上一点,
与
相交于点
,点
是射线
上一点,且
,
与
相交于点
.
(1)求
的度数;
(2)求证:
是
的中点;
(3)若
,
,求
的边长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cca04b2a2b61d62a809776670a60c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a693d58a3baf5472af855cb4e2f7af6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/26/6fb5dc61-a270-4f7c-84d4-01950e68555a.png?resizew=471)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a2e6494cf8d2dff0746a9bb72cef43.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb3d1070981fed5ca65a34bb2282e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495be6a6b940e8affe38f2bcdee246b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
8 . 在
中,
,
为平面上一点,分别连接
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/231771ba-04b8-4d12-ba7e-2a4b325c0bd7.png?resizew=354)
(1)如图1,当
,点
在边
上时,以
为腰在
右侧作等腰直角
,且
,连接
.
求证:
;
(2)如图2,当
,点
在
内部时,
,
,
,求
的长;
(3)如图3,当
在
外部,且
,
,设
,
,则
的值是否发生变化,若不变,试求出这个值;若改变,请说明理由.
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/231771ba-04b8-4d12-ba7e-2a4b325c0bd7.png?resizew=354)
(1)如图1,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7c50d6d16f99c65005dfb950c30d760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421291381be28da4bd16560fd383b4a9.png)
(2)如图2,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f82265e555f7dcea1ab94d947a0cdb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb3d1070981fed5ca65a34bb2282e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(3)如图3,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4208114cb7665bc7e97c2a6b6a56e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d78524f98b01fa1dadfd277939665b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5baddc8495733d1bb6ee0786afd222df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff67e7ebad321eb34fd9428271c5b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
您最近一年使用:0次
2024-03-11更新
|
197次组卷
|
2卷引用:四川省成都市锦江区成都市七中育才学校2023-2024学年八年级上学期期末数学试题
9 . 以
的边
、
为边向外分别作等边
、等边
,连接
、
,
与
交于O,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/5/f077b513-c2b7-4ec0-8be4-00cd2839befb.png?resizew=191)
(1)求证:
;
(2)求证:
平分
;
(3)请问线段
与线段
、
之间有什么数量关系?请说明理由.
![](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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb49df05f2e31d005735c3f14a21d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/5/f077b513-c2b7-4ec0-8be4-00cd2839befb.png?resizew=191)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/024dc2ccbbe321774df5d44e8785b203.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbee6d5731d6f4bb1e4f2ba3d89b7dc.png)
(3)请问线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b63d2504bd3ecce8c10560b142356f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1438142deeac876fc7dc50552e552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
您最近一年使用:0次
10 . 如图1,已知
,点D在BC上,且
,
,AC与DE相交于点F,连接CE.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/6e5292b3-25dc-4d3d-8db3-9847ccd3a64f.png?resizew=295)
(1)求∠DCE的度数(用含
的代数式表示);
(2)求证:
;
(3)如图2,若
,判断△ADF的形状,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b2c767972aa7c8ca26d50d33bc001b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d212c1709b8e72a055cf1b5381ef64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/6e5292b3-25dc-4d3d-8db3-9847ccd3a64f.png?resizew=295)
(1)求∠DCE的度数(用含
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce303692c996c0cdb9baaab9fb7bd84c.png)
(3)如图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edffb236f765898461297ad7b854bd69.png)
您最近一年使用:0次