如图,
平分
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/19/fb957575-f73c-468e-b6b7-7b7770b70475.png?resizew=137)
(1)求证:
;
(2)若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7178f1022e05638a818208b3141f0795.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/19/fb957575-f73c-468e-b6b7-7b7770b70475.png?resizew=137)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d5db297a484eed1457626386ff2b0d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
更新时间:2024-01-19 18:30:35
|
【知识点】 相似三角形的判定与性质综合
相似题推荐
解答题-计算题
|
适中
(0.65)
【推荐1】甲、乙两个“综合与实践”小组计划开展测量某广场同一旗杆高度的实践活动.他们分别制订了测量方案,并利用课余时间完成了实地测量.为了减小测量误差,小组在测量时,对每个数据都分别测量了两次并取它们的平均值作为测量结果,以下是他们研究报告的部分记录内容.
![](https://img.xkw.com/dksih/QBM/2022/4/19/2961397310038016/2964603224276992/STEM/3c19f464-1143-422b-8dc2-2e953b33f560.png?resizew=181)
请完成以下问题:
(1)表中
_________m;
(2)乙组这种测量方法的原理是我们所学的( )
A.图形的平移 B.图形的旋转 C.图形的轴对称 D.图形的相似
(3)根据以上测量结果,请帮甲组求出旗杆
的高度.(结果精确到0.1)
(参考数据:
,
,
,
,
,
)
(4)经计算乙组测量的结果为19.5米,与甲组的数据有差异,老师说:“你们做得都很好,在我们这种测量条件下,出现误差是_______事件,所以虽然数据存在差异但数据都是可信的!”(填“必然”,“随机”,“不可能”)
![](https://img.xkw.com/dksih/QBM/2022/4/19/2961397310038016/2964603224276992/STEM/3c19f464-1143-422b-8dc2-2e953b33f560.png?resizew=181)
课题 | 测量旗杆的高度 | |||||||
工具 | 测角仪,皮尺,镜子等 | |||||||
成员 | 甲组 | 乙组 | ||||||
测量说明 | 线段![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | 线段![]() ![]() ![]() ![]() | ||||||
测量示意图 | ||||||||
测量数据 | 测量项目 | 第一次 | 第二次 | 平均值 | 测量项目 | 第一次 | 第二次 | 平均值 |
![]() | 26.5° | 26.7° | 26.6° | ![]() ![]() | 1.9m | 2.1m | 2m | |
![]() | 40.4° | 39.6° | 40° | ![]() ![]() | 25.2m | 26.8m | 26m | |
A,![]() | 14.4m | 14.6m |
(1)表中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dbf960f730c5e53917e3daba8067770.png)
(2)乙组这种测量方法的原理是我们所学的( )
A.图形的平移 B.图形的旋转 C.图形的轴对称 D.图形的相似
(3)根据以上测量结果,请帮甲组求出旗杆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f62c566ec23538028e708fe04543c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a455e37d7005c97b7e2655312f45a4b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7379d1eed8fa2f116f84fe4f2874fb1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccf4891a4a007b08c0d2e78098f31fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2486f5b5dca85aeeeb1c05baea5809c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a294e6405393e2cd6f0ecd55a6c9757.png)
(4)经计算乙组测量的结果为19.5米,与甲组的数据有差异,老师说:“你们做得都很好,在我们这种测量条件下,出现误差是_______事件,所以虽然数据存在差异但数据都是可信的!”(填“必然”,“随机”,“不可能”)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐2】在
中,
,
,正方形
的边
在
上,顶点
,
分别在
,
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/75ee6776-5115-47b1-b736-a42cbd0b0edc.png?resizew=403)
(1)如图
,过点
作
于点
,交
于点
,求正方形
的边长;
(2)如图
,在
上取点
,作
于点
,
交
于点
,
于点
,求证:四边形
是正方形;
(3)如图
,在
上取点
,使
,连结
,
,若
求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e39748e198ddf3daba62c1e3b572381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/75ee6776-5115-47b1-b736-a42cbd0b0edc.png?resizew=403)
(1)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4744b427f036dfbc6db68c87cd5c54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
(2)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf271d6475f5305bc922677b4cfe28c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314abf2183a8b532521d150829c0f905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367608721aa13c59735091f19bcdbd4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
(3)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d8dc2d88f1bb071e39af3b04091fbf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd02e391a3cc06af4a9df86041d816b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/719f0738ef201bf552ebc357577b46bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117beb8a93c8e24d56c278b37abf2df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119cf412ca5aa8cb79fc1eb7b50dbc67.png)
您最近一年使用:0次