1 . 两个大小不同的等腰直角三角形
如图所示摆放,点
在同一直线上,连接
.
(1)求证:
.
(2)求证:
.
(3)若
,则
______(直接写出答案).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181cc1d6c57ff0e8f14b6e6a9ebe65d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e8754585a460b01bb92af46cd15b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f243f0482018571a3fcdee60c99b881.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/66b2a76c-6f87-460a-947d-6b2e3bd6d86c.png?resizew=150)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960d61e0d9a749cba705359a15e683d2.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b59bfa454f1729db06a42362086230f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5336ad76763e018ceaec8015b2ca27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ba21720fda641264518b638787454e.png)
您最近一年使用:0次
名校
2 . 如图,要测池塘两端
,
的距离,小明先在地上取一个可以直接到达
和
的点
,连接
并延长到
,使
;连接
并延长到
,使
,连接
并测量出它的长度,
的长度就是
,
间的距离.那么判定
和
全等的依据是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6741e5ff4a2b3bacf8ab93b2bfbcfb03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0af2c07d1d8dae879d2729dc520a38b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe59deb5eff9123704c5505830b597e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-31更新
|
276次组卷
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40卷引用:专题01 三角形的初步认识(知识串讲+热考题型+真题训练)-2023-2024学年八年级数学上学期期中期末考点归纳满分攻略讲练(浙教版)
(已下线)专题01 三角形的初步认识(知识串讲+热考题型+真题训练)-2023-2024学年八年级数学上学期期中期末考点归纳满分攻略讲练(浙教版)浙江省绍兴市柯桥区联盟校2023-2024学年八年级上学期10月月考数学试题浙江省台州市椒江区2022-2023学年八年级上学期期末数学试题鲁教版七年级下册数学第10章三角形的有关证明单元检测2018年秋人教版八年级上册数学《第12章 全等三角形》单元测试题【区级联考】天津市和平区2017-2018学年八年级(上)期期中数学试题山东省枣庄市山亭区2017-2018学年北师大版七年级第二学期期末数学试卷辽宁省大连市中山区2019-2020学年八年级上学期期末数学试题山东省淄博市张店区2018-2019学年七年级上学期期中数学试题福建省福州市立志中学2020-2021学年八年级上学期期中数学试题四川省成都七中育才学校2021-2022学年八年级上学期入学数学试题四川省成都市金牛区2020-2021学年七年级下学期期末数学试题广西河池市环江县2021-2022学年八年级上学期期中测试数学试题山东省济宁学院附属中学2021-2022学年七年级上学期期中数学试题陕西省铜川市耀州区2019-2020学年七年级下学期期末考试数学试题山东省济南市历城区2021-2022学年七年级下学期期中数学试题(已下线)专题12.3 全等三角形性质与判定(知识解读)-2022-2023学年八年级数学上册《同步考点解读·专题训练》(人教版) 陕西省西安市雁塔区铁一中2021--2022学年七年级下学期数学期末试题广东省中山市开发区2022-2023学年八年级上学期期中数学试卷山东省烟台市龙口市(五四制)2022-2023学年七年级上学期期中数学试题 山东省济南东南片区2021-2022学年七年级下学期期中考试数学试题山东省泰安市新泰市北部联盟2022-2023学年七年级上学期10月月考数学试题山东省烟台市南部地区2022-2023学年七年级上学期期中数学试卷 (已下线)八年级上册期中测试卷(A卷)-2022-2023学年八年级数学上册《同步考点解读·专题训练》(人教版)辽宁省大连市高新园区2022-2023学年八年级上学期期末考试数学试题(已下线)第2课时 全等三角形的判定-2022-2023学年八年级数学上册同步考点知识清单+例题讲解+课后练习(人教版)贵州省贵阳市三联教育集团九校2021-2022学年七年级下学期期末数学试题甘肃省陇南市礼县第六中学2022-2023学年八年级上学期期中数学试题陕西省西安高新第一中学2022-2023学年七年级下学期期末数学试题(已下线)云南省临沧市耿马傣族佤族自治县2022-2023学年八年级上学期期末数学试题第14章 全等三角形 14.2 三角形全等的判定沪科版八年级上册课前预习(已下线)专题01 全等三角形(知识串讲+热考题型+真题训练)-2023-2024学年八年级数学上学期期中期末考点归纳满分攻略讲练(苏科版)(已下线)专题02 全等三角形(知识串讲+热考题型+真题训练)-2023-2024学年八年级数学上学期期中期末考点归纳满分攻略讲练(人教版)江苏省宜兴市树人中学教育集团2023-2024学年八年级上学期第一次调研数学试题广东省广州市番禺区桥城中学2023-2024学年八年级上学期期中数学试题吉林省长春市朝阳区吉林大学附属中学2023-2024学年九年级上学期期中数学试题安徽省马鞍山市含山县第一中学2023-2024学年八年级上学期期中数学试题广东省湛江市霞山区海宁学校2023-2024学年八年级上学期期中数学试题湖南省湘西州2023-2024学年八年级上学期期末数学试题山东省枣庄市第四十一中学2022-2023学年七年级下学期第二次月考数学试题
3 . 如图,在
中,
,
,
,点
是
内一点,则点
到
三个顶点的距离和的最小值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4ee479000026b54146a5c6097dd6f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ce4c411dfc1130d9d4992b9e0ee1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4457f3ad78b5128a950601cf85100a16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1753cdd4c407a438d39d18544f953c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4ee479000026b54146a5c6097dd6f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4ee479000026b54146a5c6097dd6f4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/0afcd568-f1af-4be6-926d-42daf3d38422.png?resizew=131)
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4 . 如图,在等边三角形
中,点
,
分别是边
,
上的点,且
,连接
,
交于点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/b3cfe005-6ae3-4484-9fa7-2ab5ddece692.png?resizew=145)
(1)求证:
;
(2)若
,求
的值;
(3)若点P恰好落在以
为直径的圆上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421291381be28da4bd16560fd383b4a9.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/b3cfe005-6ae3-4484-9fa7-2ab5ddece692.png?resizew=145)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e238f17e8e5277a4194d78d33af1f0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d511b45c0c8b8544255dbf78bb716c61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17447cf765487d7712544bc0072f8fd2.png)
(3)若点P恰好落在以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee940049ce6026ed32c01a8d0b29905.png)
您最近一年使用:0次
2023-12-20更新
|
254次组卷
|
7卷引用:2022年浙江省杭州市滨江区一模数学试题
2022年浙江省杭州市滨江区一模数学试题2022年浙江省杭州市初中毕业升学模拟检测(一)数学试卷浙江省金华市五中等三校联盟2023-2024学年九年级上学期期中数学试题(已下线)专题4.10 平行线分线段成比例(培优篇)(专项练习)-2022-2023学年九年级数学上册基础知识专项讲练(北师大版)(已下线)专题27.11 由平行线截得的比例线段(培优篇)(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(人教版)(已下线)专题6.10 由平行判断成比例的线段(培优篇)(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(苏科版)(已下线)清单14 相似图形基础(3个考点梳理+14种题型解读+提升训练)-2023-2024学年九年级数学上学期期末考点大串讲(苏科版)
5 . 看图填空:如图,已知
,
,试说明
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/17/4e9a72fd-4b64-4597-981a-fcc9493c5f8b.png?resizew=173)
证明:∵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adaae99b4ac308549134169e69247a6.png)
∴
(两直线平行,同位角相等)
∵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c503e29373e8d87134bdb46bd3912910.png)
∴
;
即:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba00448a7a8f056d18789f6f72b7128.png)
在
和
中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2140df87bdcc6d156b8e0d83adb8fda5.png)
∴
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adaae99b4ac308549134169e69247a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76335cd6f228eb043106735304677e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca10806fc8c3c3efd6859f526b76900.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/17/4e9a72fd-4b64-4597-981a-fcc9493c5f8b.png?resizew=173)
证明:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adaae99b4ac308549134169e69247a6.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665ffcdb7c57534dc184cc840471f2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfd40973314819316eedefaf10eecad.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c503e29373e8d87134bdb46bd3912910.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ec4e9bc9a667e8e4e5bd4f2ccc196b.png)
即:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba00448a7a8f056d18789f6f72b7128.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2140df87bdcc6d156b8e0d83adb8fda5.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca10806fc8c3c3efd6859f526b76900.png)
您最近一年使用:0次
6 . 如图,在
中,
,
为
的半径,点C为优弧
的中点,
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c503e29373e8d87134bdb46bd3912910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eaffcd2070bfcb1955e2cab66c26c06.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/26/0e50b7a9-60cc-43d7-a9f1-2042ef983bd1.jpg?resizew=124)
您最近一年使用:0次
7 . 如图,已知
,若依据“
”证明
,则需增加的一个条件是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a702c324e0c76150540c3d32df802077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a290f047f50481318d040c604d72f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b50834e39c4e028e0fc303b94d571923.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/fa70fab8-4db6-40bc-9a36-73b53959d519.png?resizew=123)
您最近一年使用:0次
8 . 下列命题中,是真命题的是( )
A.有两条边和一个角对应相等的两个三角形全等 |
B.等腰三角形的对称轴是底边上的高线 |
C.在同一平面内,过一点有且只有一条直线垂直于已知直线 |
D.同位角相等 |
您最近一年使用:0次
名校
9 . 如图,点
,
,
,
在同一条直线上,点
,
分别在直线
的两侧,且
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/25/3255f30c-b4f2-4075-a9af-d91b8224d450.png?resizew=140)
(1)求证:
;
(2)若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f8eebda19eded2b059774a8c2666c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf7dc43a39738e3e2a0b819be505c6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de966c316db1013defc56372fcf814e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/25/3255f30c-b4f2-4075-a9af-d91b8224d450.png?resizew=140)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee86f1d1de9266c346c4f2771ec4e76e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
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2023-11-20更新
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268次组卷
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5卷引用:浙江省衢州市柯城区实验学校教育集团2023-2024学年八年级上学期数学期末模拟试题
10 . 已知
中,
,
,D为
的中点,动点P从B出发沿
向C点方向运动,Q点从A出发沿
向终点C运动,若P的速度的2个单位/每秒,Q的速度的4个单位/每秒,运动时间的t秒.
(1)当运动时间的t秒时,则
______,
______(用含t的代数式表示);
(2)当
时,
与
全等吗?说明理由;
(3)若
的周长为18,问t为何值时
是等腰三角形?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f138deab9e5a4baaada287ed1a78df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ebb33adb2310a6e03918761e68204a.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/21/33fd4f1c-7497-4383-b77a-d2da94f5b160.png?resizew=225)
(1)当运动时间的t秒时,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9985eaef9e31b243d5aaf89b71f66075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1772209a569f87d0539b5d7871d0834.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983add910c8e09954f164a5e87d1f7fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87b2f781cafa7989d81f9bf8c42b150.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87b2f781cafa7989d81f9bf8c42b150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87b2f781cafa7989d81f9bf8c42b150.png)
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