1 . 在
和
中,
.如图1,点
与点
重合,点
在边
上.如图2,将
绕点
顺时针旋转
,边
与边
分别交于点
时,连接
.下列4个以下结论:
①
;
②当
时,
;
③当
时,
;
④当
时,
为定值.
其中正确的是__________ .(写出所有正确结论的序号)
![](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/a54b0fcd887c1460f004a91ef0ba02f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e19e9f85eea90e8c00637b4d2a383f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9506adf67d4563138dfeb21365b1ba22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/2/ec97175d-b363-4cd8-9660-06922c81b317.png?resizew=260)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d9e7ef53045ebea91d4e9305c12ce5.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c96cb3ac8290e09c55d4eb336a8608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ded6b9765351ceb0df3e671dfa6d205.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa30a9ee227af2b387cf6e028c20d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9f2254db4904e59e76a2bd5dbcf18b.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b76ee688fc482cf94d8dca8f9f70f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a971dd843f2bf17dfc0c0c6c3a4a36.png)
其中正确的是
您最近一年使用:0次
2022八年级上·浙江·专题练习
2 . 已知
中,
,
,点
为
的中点,点E、F分别为边AB、AC上的动点,且
,连接EF,下列说法正确的是______ .(写出所有正确结论的序号)①
;②
;③
;④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745ed217e265e8d34d81c38e86260b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.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/b91f064bb73019053992fe781a53356a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bae5867e2dbc5fa09bc4fefffee683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9545fa63b0f69136cf7146e14f897e84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efbc0e76b7abb656327bdc97226713e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745ed217e265e8d34d81c38e86260b31.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/396b632d-0fa3-449c-903d-05b19061e134.png?resizew=206)
您最近一年使用:0次
3 . 如图,在
中,
,
,射线
是
的平分线,交
于点
,过点
作
的垂线与射线
交于点
,连接
,
是
的中点,连接
并延长与
的延长线交于点
,则下列结论:①
;②
垂直平分
;③
,④
;把所有正确结论序号填在横线上______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](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/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.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/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f7e12216b01699b2805d03ebceb33c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e26894dd6c092722e47ea3ffc14283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358b8f66f7cc58907fedb8922d5fa80b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/3/be3adb54-0218-4ebf-888a-aedc1b1f0a90.png?resizew=167)
您最近一年使用:0次
2023-03-02更新
|
85次组卷
|
2卷引用:湖北省黄石市阳新县2022-2023学年八年级上学期期末考试数学试题
4 . 如图,将
绕点
顺时针旋转
得到
,边
,
相交于点
,连接
.下列结论:①
;②
平分
;③
;④
.其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/2689f0ce5ab3467d8214794d8acb2bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce74654b7088989396bb03fb619b0428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd94dd51562ecbee6edd4265326b765.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5588b9238d940f09fd25191b930ce936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817ccf96200350828be4a7a503a5ad02.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/3e787b10-14f4-45be-b889-77c046a064f7.png?resizew=229)
您最近一年使用:0次
2022-12-09更新
|
130次组卷
|
4卷引用: 福建省福州市长乐区2022-2023学年九年级上学期期中数学试卷
福建省福州市长乐区2022-2023学年九年级上学期期中数学试卷福建省福州市第十五中学2023-2024学年九年级上学期月考数学试题(已下线)专题23.13 旋转(全章分层练习)(提升练)-2023-2024学年九年级数学上册基础知识专项突破讲与练(人教版)(已下线)专题3.6 图形的旋转(分层练习)(基础练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(北师大版)
22-23八年级上·全国·期末
5 . 如图,
中,
,
,D为线段
上一动点(不与点B,C重合),连接
,作
,
交线段
于E.以下四个结论:
①
;
②当D为
中点时,
;
③当
为等腰三角形时,
;
④当
时,
.
其中正确的结论是______ (把你认为正确结论的序号都填上).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e9e7c56e8eeda044fb55396088816.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/3a9608cad892644b4094ed6438b69572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebd95e4e02ded19f5c0a8de71c27ae7.png)
②当D为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bc5547bb6d2a7a315962ff75f6ba8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115d56f2dca3e53ef6db9761cfef7f6e.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e4dbea6a5faecdd8f6c06cf9fd43a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421291381be28da4bd16560fd383b4a9.png)
其中正确的结论是
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/12/56a89dea-6703-43c6-80fd-f2a959fbae70.png?resizew=197)
您最近一年使用:0次
名校
6 . 如图,点D是等边
边
上的一个动点,以
为边作等边
,连接
.则下列结论正确的是______ (填正确的序号).
①
;②D在
上运动的过程中线段
有最小值;③四边形
的面积是定值;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc59641467014c8be833e0781f04b1b.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/8bc1cbcd6d00f0c36bad8254297d9f33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8196909b00ad21a6ac480fcbf1be1fb9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/6/ecee2adf-950a-46f8-8931-e0e20ac2ac8b.png?resizew=175)
您最近一年使用:0次
7 . 如果三角形的两个内角
与
满足
,那么我们称这样的三角形为“准直角三角形”.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/4/9b909ce6-6dfb-4849-8212-2380030fd289.jpg?resizew=338)
(1)关于“准直角三角形”,下列说法:
①在
中,若
,
,
,则
是准直角三角形;
②若
是“准直角三角形”,
,
,则
;
③“准直角三角形”一定是钝角三角形.其中,正确的是 .(填写所有正确结论的序号)
(2)如图①,在
中,
,
是
的角平分线.
求证:
是“准直角三角形”.
(3)如图②,
、
为直线
上两点,点
在直线
外,且
.若
是
上一点,且
是“准直角三角形”,请直接写出
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/106f8de7fde5a4d67448debb9437194e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/4/9b909ce6-6dfb-4849-8212-2380030fd289.jpg?resizew=338)
(1)关于“准直角三角形”,下列说法:
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c3975d0e87ea5028d37444dca76b331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0374c406b563f0d258aa5c2654bbd06e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7520a232298fcf28040a67feeaa7daf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c554100e16141964f74a5a743f6b29e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b030708f7e622f3f992649b21eec6b4c.png)
③“准直角三角形”一定是钝角三角形.其中,正确的是 .(填写所有正确结论的序号)
(2)如图①,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58196842483577dbc6be9bc873651d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c505c02c59313fe0108392a5bf5127.png)
(3)如图②,
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50139f281e4d1a6d1dcb4f4327d7b2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf13c20214c9f40e8c165c0de7106cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
您最近一年使用:0次
8 . 如图,△ABC和△DCE都是等边三角形,且点B、C、E在同一直线上,AE与BD、CD分别交于点F、H,AC与BD交于点G,连接CF、GH.则下列结论正确的是 _____ .(写出所有正确结论的序号)
①AE=BD;②GD=HE;③△CGH是等边三角形;④CF平分∠BFE;⑤BF=CF+AF.
①AE=BD;②GD=HE;③△CGH是等边三角形;④CF平分∠BFE;⑤BF=CF+AF.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/25/63aa8f25-7064-4a67-8320-dcba5a3e3d36.png?resizew=234)
您最近一年使用:0次
9 . 如图,在
中,
,将
绕点
顺时针旋转得到
点
的对应点为
,点
的对应点
落在线段
上,连接BE.下列结论:①
平分
;②
;③
;④
.其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
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2022-12-20更新
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194次组卷
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4卷引用:福建省福州市长乐区鹤上中学2022-2023学年九年级上学期期中数学试题
福建省福州市长乐区鹤上中学2022-2023学年九年级上学期期中数学试题北京景山学校大兴实验学校2022-2023年八年级上学期数学期末试卷(已下线)专题23.1 图形的旋转【十大题型】-2023-2024学年九年级数学上册举一反三系列(人教版)(已下线)专题3.2 图形的旋转【十大题型】-2023-2024学年九年级数学上册举一反三系列(浙教版)
10 . 如图,点A、B、C在一条直线上,
和
均为正三角形,
分别与
交于点M、N,有如下结论:①
;②
;③
;④
;⑤
与
所夹锐角为60°.其中正确的有______________ (填上正确结论的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644f63756fe9251e65cc14e1ce9723d4.png)
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