1 . 如图,O为
的中点,若要利用“
”来判定
,则应补充的一个条件是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/1/0f4d6a1a-e4e0-4a80-8677-f578e7eaa817.png?resizew=156)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a290f047f50481318d040c604d72f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833003cfb9b4fa0b99be6f48e9cd0e75.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/1/0f4d6a1a-e4e0-4a80-8677-f578e7eaa817.png?resizew=156)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-02更新
|
95次组卷
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2卷引用:广西壮族自治区百色市田阳区2023-2024学年八年级上学期期末数学试题
2 . 如图,
,
,能直接判断
的依据是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f455f1600da3912b3eaed6a45ab37b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff3697b399041b33528362ee2f327b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6607b4a63bd6637b248c8d45aa441091.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 如图,点
在线段
上,
,
,
,
平分
.
![](https://img.xkw.com/dksih/QBM/2024/2/4/3425726021042176/3433675884126208/STEM/7cdb72c1d45f4b51affa75ecf97f9bf9.png?resizew=158)
(1)证明:
;
(2)若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44196b7e2f70c9c172b68ef694cf3e7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1120e471627069e78a6733af07687684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d2530e7023b2345c651e8f53629ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384d0a02d097ac7aa8a19e8da6f9767.png)
![](https://img.xkw.com/dksih/QBM/2024/2/4/3425726021042176/3433675884126208/STEM/7cdb72c1d45f4b51affa75ecf97f9bf9.png?resizew=158)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba1b833268486fff262ee55ede02d9e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7caebafd70eb8770fcd159e0b1ad4a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5da909948846ffb8a1f705861c0555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0acc93490a6a784eb62201d93dd93d.png)
您最近一年使用:0次
2024-03-01更新
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136次组卷
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2卷引用:浙江省宁波市鄞州区高桥镇等四校2023-2024学年八年级上学期期末数学试题
4 . 数学活动课上,小星制作了一个燕尾形的风筝,如图,
,
,他准备用刻度尺量
和
的长是否相等.
小英却说:“不用再测量,因为
≌
,所以
”
小英用到的判定三角形全等的方法是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/e07014dc-588f-4754-b7f4-9cabdbc673db.png?resizew=207)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd95dc30c0344788b94289c464a3158e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4cbe61e476116a9549be93563f7a251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
小英却说:“不用再测量,因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73636989e83905f8800a865c2b608c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4a0439fda15e81f952ec6d7773f477.png)
小英用到的判定三角形全等的方法是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/e07014dc-588f-4754-b7f4-9cabdbc673db.png?resizew=207)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 如图,在
中,
.按以下步骤作图:
①以点C为圆心,适当长为半径画弧,分别交
于点M、N;
②分别以M、N为圆心,大于
的长为半径画弧,两弧交于点F;
③作射线
.若
,E为
边的中点,D为射线
上一动点.
则
的最小值为 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
①以点C为圆心,适当长为半径画弧,分别交
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11863656c0830c8ca56a8f4490153cd0.png)
②分别以M、N为圆心,大于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94e1ca12da27075e5241b7c7ce74672.png)
③作射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8dcde8a9212e5633ba66f7fbd34235.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/5/2872a9a1-816f-442e-9959-6f7ac15586e7.png?resizew=148)
您最近一年使用:0次
2024-02-28更新
|
65次组卷
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2卷引用:四川省乐山市市中区2023-2024学年八年级上学期期末数学试题
6 . 数学活动课上,老师利用平分角的仪器的工作原理引入了角的平分线的尺规作图的课程.小明受此问题启发,利用轴对称性又发现了一种作角平分线的方法(如图).请仔细阅读并完成相应任务.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/3c81f0eb-aef8-46cd-9e88-510f2f448b00.jpg?resizew=157)
【作法】
①以点M为圆心,任意长为半径画弧,交角的两边于点A,B;
②再以点M为圆心,另一个半径长画弧,交角的两边于点C,D;
③连接
,
交于点E;
④作射线
.
射线
即为
的平分线.
【任务】
(1)由尺规作图可直接得到线段相等的有:
和_____.
(2)由(1)中的条件,可证
,依据是______.(填判定方法)
(3)如果把(2)中已得的
作为条件,求证:
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/3c81f0eb-aef8-46cd-9e88-510f2f448b00.jpg?resizew=157)
【作法】
①以点M为圆心,任意长为半径画弧,交角的两边于点A,B;
②再以点M为圆心,另一个半径长画弧,交角的两边于点C,D;
③连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
④作射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2f9c3b578fc0598d5ec6c79404c6cc2.png)
【任务】
(1)由尺规作图可直接得到线段相等的有:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ecb9581622f4820971cc55f480fa531.png)
(2)由(1)中的条件,可证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26a8d7bb4187b64fb0fd732bee19dd5.png)
(3)如果把(2)中已得的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26a8d7bb4187b64fb0fd732bee19dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62f9a3935cd124d021c7b18b0f634915.png)
您最近一年使用:0次
7 . 综合与实践,问题情境:活动课上,同学们以等腰三角形为背景展开有关图形旋转的探究活动,如图1,已知
中
,
.将
从图1的位置开始绕点
逆时针旋转,得到
(点
,
分别是点
,
的对应点),旋转角为
(
),设线段
与
相交于点
,线段
分别交
,
于点
,
.
特例分析:(1)如图2,当旋转到
时,求旋转角
的度数为;
探究规律:(2)如图3,在
绕点
逆时针旋转过程中,“求真”小组的同学发现线段
始终等于线段
,请你证明这一结论.
拓展延伸:(3)①直接写出当
是等腰三角形时旋转角
的度数.
②在图3中,作直线
,
交于点
,直接写出当
是直角三角形时旋转角
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/56d3c9ce32b721995f355eea411340e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6501104a07d10b5736417f8422910dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
特例分析:(1)如图2,当旋转到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
探究规律:(2)如图3,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
拓展延伸:(3)①直接写出当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b5e9edb1b75c4f2819648ffdbfaeac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
②在图3中,作直线
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cff7399ecc698e2fb415147c96d0d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2024-02-26更新
|
74次组卷
|
3卷引用:贵州省安顺市关岭布依族苗族自治县2023-2024学年九年级上学期期末数学试题
8 . 下列命题是真命题的是( )
A.两点之间直线最短 | B.有两边和一角分别相等的两三角形全等 |
C.三角形的外角大于任一内角 | D.直角三角形的两锐角互余 |
您最近一年使用:0次
9 . 如图,将两根长度相等的钢条
,
的中点固定在
点,使
,
可以绕着
点转动,就做成了一个测量工具,则
的长等于内槽宽
,原因是
和
全等,那么判定
和
全等的依据为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655cc150ddc9deba2254780984d0024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655cc150ddc9deba2254780984d0024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17feedef8b38275d0b9bf982a5478ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17feedef8b38275d0b9bf982a5478ec.png)
您最近一年使用:0次
名校
10 . 如图,在
中,
,
平分
.以点
圆心,
长为半径画弧,与
,
分别交于点
,
,连接
,
.
;
(2)若
,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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe3dc2fc31839eac5a78e1e3d8adda3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84494e057cb7bc129257c4cb962678ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d3e081637bcea5368cc72370bae283b.png)
您最近一年使用:0次
2024-02-07更新
|
81次组卷
|
3卷引用:安徽省阜阳市临泉县2023-2024学年八年级上学期期末数学试题
安徽省阜阳市临泉县2023-2024学年八年级上学期期末数学试题广西壮族自治区南宁市兴宁区第三中学2023-2024学年八年级上学期1月月考数学试题(已下线)第五章第02讲 简单的轴对称图形——等腰(等边)三角形(7类热点题型讲练)-【帮课堂】2023-2024学年七年级数学下册同步学与练(北师大版)