在数学拓展课程《玩转学具》课堂中,老师把我们常用的一副三角板和量角器带进了课堂.同学们踊跃参与,设计出不同的题目,请你帮他们作答:
落在
上,且
,请你求出
的度数.
(2)如图2,小旭将一副三角尺按如图所示摆放在量角器上,边
与量角器的
刻度线重合,边
与量角器的
刻度线重合.将三角尺
绕点
以每秒
的速度逆时针旋转(当三角尺
的
边与
刻度线重合时三角尺停止运动),当运动时间
是多少秒时,两块三角尺有一组边
?
旋转的同时将三角尺
也绕点
以每秒
的速度顺时计旋转(当三角尺
的
边与
刻度线重合时两块三角尺都停止运动),当运动时间
______________________________________秒时,两块三角尺有一组边平行.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53df2a88f461611f7159d0f2f8ef60e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a2db6311e228ed33b6c71d0a5918cf.png)
(2)如图2,小旭将一副三角尺按如图所示摆放在量角器上,边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235d495d88b8e51f89e2e4da27328025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654c79a470d5af5e0a34fd9233da5118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253e9a3905452ad52f16217a85738a6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4d781525777c7b5284dffc70b2a28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1653dd6d530c2e15ef1f073760ae5ad7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
22-23七年级下·安徽淮南·期中 查看更多[5]
安徽省淮南市谢家集区等3地2022-2023学年七年级下学期期中数学试题(已下线)专题5.32 相交线与平行线中的旋转问题(分层练习)(综合练)-2023-2024学年七年级数学下册基础知识专项突破讲与练(人教版)(已下线)专题7.35 平面图形的认识(二)的旋转问题(分层练习)(综合练)-2023-2024学年七年级数学下册基础知识专项突破讲与练(苏科版)(已下线)专题2.30 相交线与平行线中的旋转问题(分层练习)(综合练)-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)专题10相交线与平行线的判定8种常考题型归类【好题汇编】-备战2023-2024学年七年级数学下学期期末真题分类汇编(安徽专用)
更新时间:2023-08-10 23:36:09
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相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】如图,将两块直角三角尺的直角顶点C重合叠放在一起.
![](https://img.xkw.com/dksih/QBM/2022/1/21/2899406780071936/2900692594253824/STEM/da5459a0-ec13-4c9b-91c9-45b24243f5eb.png?resizew=213)
(1)若
,求
的度数;
(2)若
,求
的度数;
(3)猜想:
与
有怎样的数量关系,并说明理由.
![](https://img.xkw.com/dksih/QBM/2022/1/21/2899406780071936/2900692594253824/STEM/da5459a0-ec13-4c9b-91c9-45b24243f5eb.png?resizew=213)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdebc1592efdbdf58b9b0dd9ee725c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea8c403152a93b0deaeb99e1c587d322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384d0a02d097ac7aa8a19e8da6f9767.png)
(3)猜想:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384d0a02d097ac7aa8a19e8da6f9767.png)
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解答题-问答题
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适中
(0.65)
【推荐2】如图,以直线
上一点
为端点作射线
,使
,将一个直角三角形的直角顶点放在点
处.(注:
)
(1)如图1,若直角三角板
的一边
放在射线
上,则
;
(2)如图2,将直角三角板
绕点
顺时针方向转动到某个位置,若
恰好平分
,求
的度数;
(3)将直角三角板
绕点
转动,如果
始终在
的内部,试猜想
和
有怎样的数量关系?并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b1dd3c503ff0b4e68f035709e34bc63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95a92fcd0cd5e55f1d32d42504a5690.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/30/ffbbd7bd-ba06-400d-806b-edf21f073a09.png?resizew=275)
(1)如图1,若直角三角板
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711e331195e55e1c0133b0286d61a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45739116f428f7c6c5964de72a1fa101.png)
(2)如图2,将直角三角板
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711e331195e55e1c0133b0286d61a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fed1f57a835af4e9022e27603d12d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed66570f697459aba9daa2eaf9460bcb.png)
(3)将直角三角板
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711e331195e55e1c0133b0286d61a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f55c6ac896ab4277fae2230a6e10b0.png)
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解答题-证明题
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(0.65)
【推荐1】已知正方形
,过点
作射线
与线段
交于点
,
,作
于点
,点
与点
关于直线
对称,连接
.
时,
①依题意在图①中补全图并证明:
.
②当
,求
的度数.
(2)探究
与
之间的数量关系并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a4ce39e38c1d85d8475bb6f3b9db14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8435c79aa651da269273e4c701ff54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f6406b4f25d9175b1a1bd9c739cb740.png)
①依题意在图①中补全图并证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/049ba02a6816033ade98e679a59a3b24.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ae294b2af9620c2f0a27a3d74219d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)探究
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b6c52e2a4ae7e23ab43c2760ae9f90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d73b2448f9aba5ca9885fd1edd1bca1.png)
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【推荐2】如图,B处在A处的南偏西
方向,C处在A处的南偏东
方向,C处在B处的北偏东
方向.求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7755a8ad7675d65b5eede6e3f34de13f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eeaff05ecf8cd6ffe330d9835ce3f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d99f37a32c275a8d08e2a3e1a62c46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a91af096e8cf62013c9b2c29a9b8563.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/22/4ff501b5-6121-4a61-80b4-5c32df6c8238.png?resizew=154)
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