解题方法
1 . 已知
与
都是等腰直角三角形,且
.求证:
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b43490ca09467a4c8cd8cfe91c94e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26813466e2ee49a493881a4384fc8748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab083b4fd82749bcf218be6131baac63.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b59bfa454f1729db06a42362086230f.png)
您最近一年使用:0次
2023-02-06更新
|
155次组卷
|
6卷引用:宁夏固原市原州区三营中学2020-2021学年八年级上学期第二次月考数学试题
宁夏固原市原州区三营中学2020-2021学年八年级上学期第二次月考数学试题宁夏固原市原州区三营中学2021-2022学年八年级上学期第二次质量提升总结数学试题(已下线)专题8.1 全等三角形中辅助线做法及常见题型-备战2021年中考数学精选考点专项突破题集(上海专用)江苏省扬州市邗江区梅岭中学2022-2023学年八年级上学期9月月考数学试题(已下线)专题4.21 三角形全等几何模型(旋转模型)(培优练)-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)(已下线)暑假作业08 全等三角形常见模型-【暑假分层作业】2024年七年级数学暑假培优练(北师大版)
2 . 如图,点C,E,F,B在同一直线上,点A,D在BC异侧,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/5/5797ec8d-c236-451c-b198-b085807e4010.png?resizew=173)
(1)求证:
;
(2)若
,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533f1f6ead0d794bb7c70cce9173d4a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/439fbb8974a5f907205d26b47b420bf4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/5/5797ec8d-c236-451c-b198-b085807e4010.png?resizew=173)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c220eadc312101e2fb89dfe920f7b30d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c931bbba4e02a2ad4584311896738f33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735bd70c2fa2bf51fd7aa448b20d0be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c543c3ddc3723fde6bbfca3ea3b921b.png)
您最近一年使用:0次
名校
3 . 如图,在
中,对角线
,
相交于点O,点E,F在
上,点G,H在
上,且
,
.
,
,试求
的度数.
(2)求证:四边形
是平行四边形.
![](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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce1475f537b4ad21775bfaa16daa0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a15346cf93dc605b05f16bfa4eaa2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ee81929c987732fcb379802eeef7a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d7bf8de6c46c5d3f700ff85bad3e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
(2)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1522a9c3b2466395570c2689a4055584.png)
您最近一年使用:0次
2023-02-03更新
|
490次组卷
|
9卷引用:宁夏回族自治区银川市金凤区第六中学2021-2022学年八年级下学期期末数学试题
宁夏回族自治区银川市金凤区第六中学2021-2022学年八年级下学期期末数学试题(已下线)江苏省泰州市姜堰区实验初级中学2022-2023学年八年级下学期数学第一次学情调查3.2(已下线)9.3 平行四边形-【帮课堂】2022-2023学年八年级数学下册同步精品讲义(苏科版)(已下线)9.3 平行四边形(第2课时)(练习)-2022-2023学年八年级数学下册同步精品课堂(苏科版)陕西省汉中市洋县2022-2023学年八年级下学期7月期末数学试题江苏省泰州市姜堰区姜堰区实验初级中学2022-2023学年八年级下学期月考数学试题江苏省连云港市海宁中学2023-2024学年八年级下学期数学第一次月考试题江苏省连云港市海宁中学2023-2024学年八年级下学期数学第一次月考试题吉林省桦甸市第七中学2023-2024学年八年级下学期第一次月考数学试题
4 . 以点A为顶点作两个等腰直角三角形(
,
),
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/4/ed141fb5-9c5b-424b-af95-20cf1b0b5c0e.jpg?resizew=503)
(1)如图1所示放置,使得一直角边重合,延长
,交
于点F,试说明
.
(2)如图2所示放置,连接
与
相交于点F,
①
与
的大小有什么关系,请说明理由.
②
与
的位置有什么关系,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/4/ed141fb5-9c5b-424b-af95-20cf1b0b5c0e.jpg?resizew=503)
(1)如图1所示放置,使得一直角边重合,延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52273305805769a438772342b53c289e.png)
(2)如图2所示放置,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
您最近一年使用:0次
5 . 如图,
中,
,点
是
上一点,
,连接
,
是
的角平分线,交
于点
,交
于点
,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/30/5621668f-689c-4d9d-b51b-c2901c20d3b5.png?resizew=168)
(1)求证:
.
(2)若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8008eab22184d57ef7d4258f2188f5c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.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/e3d2d3643a9579f2c693ef86909441e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/30/5621668f-689c-4d9d-b51b-c2901c20d3b5.png?resizew=168)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad98ad714864041a632ca949308e417.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c157441734cc2f1853bb3e15b631a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35803969509655f72b4118503ae1c966.png)
您最近一年使用:0次
6 . 如图,在平面直角坐标系中,
为等腰直角三角形,其中
,直线
与直线
交于点A,有一个动点
沿路线
运动.
![](https://img.xkw.com/dksih/QBM/2022/12/25/3138378502668288/3156183554695168/STEM/642792d77db142ccbecae16ea0ebfcaa.png?resizew=182)
(1)求直线
的解析式;
(2)求
的面积;
(3)当
的面积是
的面积的
时,求出这时点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcc52a06d806fde891e09a0a389fcd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55e2857963e3ea3578e9a13638c3a2c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ebd1e91be8f6f55a6ff243e328afe8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efbc281766c05f9245c98edb37e857e7.png)
![](https://img.xkw.com/dksih/QBM/2022/12/25/3138378502668288/3156183554695168/STEM/642792d77db142ccbecae16ea0ebfcaa.png?resizew=182)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173bc7a36757d77f01213411edd25241.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1470425447b3997a387908aa9e89de15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173bc7a36757d77f01213411edd25241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158b045c6172c4178d7aa52083e1489f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
名校
7 . 如图,在
中,
,点
是
边的中点,连接
,分别过点
,
作
,
交于点
,连接
,交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/9dddbc6f-bfd2-4549-bcc3-af4a94db6139.png?resizew=345)
(1)求证:四边形
是矩形;
(2)若
,
,则
的长为___________.
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e932b4add3175358f15be0e1f7104e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec5d3a183594be47dd6e386d2c9d725.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/9dddbc6f-bfd2-4549-bcc3-af4a94db6139.png?resizew=345)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc1cbcd6d00f0c36bad8254297d9f33.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d186ff8551b1346bf67cdf1cebb8de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
您最近一年使用:0次
2023-01-02更新
|
198次组卷
|
17卷引用:2023年宁夏银川市唐徕回民中学南校区一模考试数学模拟试题
2023年宁夏银川市唐徕回民中学南校区一模考试数学模拟试题【区级联考】北京市平谷区2019届九年级中考一模数学试题(已下线)专题14 图形的性质之解答题(3)《备战2020年中考真题分类汇编》(北京)2020年吉林省长春市中考数学评价检测试题北京市北京四中璞瑅学校2019-2020学年九年级下学期3月月考数学试题2020北京第十八中学九年级数学零模试题北京市丰台区2019-2020学年年九年级统一练习(三)数学试题2021年广东省深圳市中考模拟数学试卷(五)广东省茂名市茂南区2021-2022学年九年级上学期期末数学试题1广东省茂名市茂南区2021-2022学年九年级上学期期末数学试题2北京市广渠门中学2021-2022学年九年级下学期3月月考数学试题(已下线)专题07 四边形-2022年中考数学毕业班二轮热点题型归纳与变式演练(全国通用)江苏省盐都区第一共同体2021-2022学年九年级下学期第一次自主检测数学试题(一模)江苏省盐城市盐都区2021-2022学年九年级下学期3月月考数学试题(一模)吉林省长春市朝阳区长春南湖实验中学2022-2023学年九年级上学期期末数学试题山西省晋中市灵石县2022-2023学年九年级上学期12月月考数学试题北京市汇文中学2023-2024学年九年级下学期开学考数学试题
名校
8 . 如图,在
中,
,D为
的中点,
,
,求
的度数.
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d212c1709b8e72a055cf1b5381ef64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e4dbea6a5faecdd8f6c06cf9fd43a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/836ea820cf3732508cdd332ceb9395ce.png)
您最近一年使用:0次
2022-12-29更新
|
363次组卷
|
13卷引用:宁夏回族自治区吴忠市2023-2024学年八年级上学期期末数学试题
宁夏回族自治区吴忠市2023-2024学年八年级上学期期末数学试题宁夏回族自治区吴忠市利通区2023-2024学年八年级上学期期末数学试题宁夏回族自治区银川市第九中学2023-2024学年八年级下学期期中数学试题辽宁省大连市甘井子区大连汇文中学2022-2023学年八年级上学期期末数学试题山东省聊城市冠县清泉街道办事处中学2022-2023学年八年级上学期10月月考数学试题(已下线)专题1.1 等腰三角形-【帮课堂】2022-2023学年八年级数学下册同步精品讲义(北师大版)山东省聊城市东昌府区东昌府区博雅学校2022-2023学年八年级上学期1月期末数学试题陕西省西安市雁塔区陕西师范大学附属中学2022-2023学年七年级下学期5月月考数学试题山东省聊城市东阿县东阿县第三中学2023-2024学年八年级上学期开学数学试题山东省菏泽市定陶区2021-2022学年八年级上学期期中数学试题湖南省长沙市长郡双语白石湖实验中学2023-2024学年八年级上学期第一次月考数学试题广东省广州市番禺区毓贤学校2023-2024学年八年级上学期期中数学试题(已下线)猜想03轴对称(易错必刷40题13种题型专项训练)-2023-2024学年八年级数学上学期期末考点大串讲(人教版)
名校
9 . 如图,在
中,
,D是
边上的中点,
于点E,
于点F.求证:点D在
的角平分线上.
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761a77e11e1e45c2a8b2d34d22cf8e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
您最近一年使用:0次
2022-12-28更新
|
80次组卷
|
2卷引用:宁夏吴忠市思源实验学校2022-2023学年八年级上学期期末数学试题
名校
10 . 如图,一次函数
的图象与x轴和y轴分别交于点A和B,再将
沿直线
对折,使点A与点B重合,直线
与x轴交于点C,与
交于点D.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/4b235020-a7ae-42a0-bfad-cdf429ea881e.png?resizew=135)
(1)求点A和点B的坐标;
(2)求
的长度;
(3)在x轴上有一点P,且
是等腰三角形,不需计算过程,直接写出点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b098e17fa76c648424e9cadf558cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/4b235020-a7ae-42a0-bfad-cdf429ea881e.png?resizew=135)
(1)求点A和点B的坐标;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
(3)在x轴上有一点P,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
您最近一年使用:0次
2022-12-16更新
|
170次组卷
|
6卷引用:宁夏回族自治区银川市兴庆区唐徕中学2022-2023学年八年级上学期期末数学试题
宁夏回族自治区银川市兴庆区唐徕中学2022-2023学年八年级上学期期末数学试题河南省平顶山市三六联校2022-2023学年八年级上学期期中数学试题(已下线)专题5.31 一次函数中的动点问题专题(专项练习)-2022-2023学年八年级数学上册基础知识专项讲练(浙教版)江苏省南通市海安市十三校联盟2022-2023学年八年级下学期第三次学情评估数学试题广东省清远市清新区第二中学集团2023-2024学年八年级上学期期中联考数学试题四川省达州市渠县贵福中学2023-2024学年八年级上学期期中数学模拟试题