点O为直线
上一点,在直线AB同侧任作射线OC,OD,使得
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/9ebd5066-a5f2-4760-8f15-4d29c9e543a0.png?resizew=631)
(1)如图1,过点O作射线
,当
恰好为
的角平分线时,另作射线
,使得
平分
,则
的度数是___________°;
(2)如图2,过点O作射线
,当
恰好为
的角平分线时,求出
与
的数量关系;
(3)过点O作射线
,当
恰好为
的角平分线时,另作射线
,使得
平分
,若
,求出
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8cc88685997c7586d1d4bf75a055433.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/9ebd5066-a5f2-4760-8f15-4d29c9e543a0.png?resizew=631)
(1)如图1,过点O作射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.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/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1951331561209e4f0a4e57229c01ac.png)
(2)如图2,过点O作射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307bd991211ec79b47a4be52933bb8e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307bd991211ec79b47a4be52933bb8e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e7b8a59f8d66176463f3d71f882a26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5872ef44ce364d04622e28e1d6f9e39f.png)
(3)过点O作射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4cd68cc82e90a5e2049a7ea3171b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277ee37179e55e305f075060ead0fe2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79bc313f73ba34b49cf9fd322d8835e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79bc313f73ba34b49cf9fd322d8835e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed66570f697459aba9daa2eaf9460bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51a391ee73aa4bb39ac0af217ab8bba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277ee37179e55e305f075060ead0fe2a.png)
22-23七年级下·广东广州·期末 查看更多[10]
广东省广州市荔湾区2022-2023学年七年级下学期开学统考数学试题广东省广州市荔湾区2022-2023学年七年级上学期期末数学试卷(已下线)专题4.25 类比思想探究线段和角的大小(分层练习)(培优练)-2023-2024学年七年级数学上册基础知识专项突破讲与练(北师大版)(已下线)专题4.26 类比思想探究线段和角的大小(分层练习)(培优练)-2023-2024学年七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4.9 角中的四种常见思想方法-2023-2024学年七年级数学上册举一反三系列(人教版)(已下线)专题4.5 角中的四种常见思想方法-2023-2024学年七年级数学上册举一反三系列(北师大版)(已下线)专题6.5 角中的四种常见思想方法-2023-2024学年七年级数学上册举一反三系列(苏科版)(已下线)专题6.29 类比思想探究线段和角的大小(分层练习)(培优练)-2023-2024学年七年级数学上册基础知识专项突破讲与练(苏科版)(已下线)专题6.9 角中的四种常见思想方法-2023-2024学年七年级数学上册举一反三系列(浙教版)(已下线)专题4.5 角中的四种常见思想方法-2023-2024学年七年级数学上册举一反三系列(沪科版)
更新时间:2023-02-27 09:22:38
|
相似题推荐
解答题-问答题
|
较难
(0.4)
【推荐1】如图1,正方形
和长方形
的周长相等,且各有一条边在数轴上,点
对应的数分别是
.正方形
以每秒2个单位长度的速度向右移动,同时长方形
以每秒1个单位长度的速度向左移动.设正方形
和长方形
重叠部分的面积为S,移动时间为t.
![](https://img.xkw.com/dksih/QBM/2022/1/1/2892328716697600/2902009373663232/STEM/92fa6d8b-df82-499b-960f-1c68e51dee91.png?resizew=600)
(1)长方形
的面积是______.
(2)当S是长方形
面积的一半时,求t的值.
(3)如图2,当正方形
和长方形
运动到点B和点F重合时,停止运动,将正方形
绕点B顺时针旋转,旋转角度为
,点
分别在线段
、线段
的延长线上,
平分
,判断
和
之间的数量关系,用等式表示,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56975ed9a442c0cdd1e39af84e396cd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e4ec6f0c058bfccc34e2306193419b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://img.xkw.com/dksih/QBM/2022/1/1/2892328716697600/2902009373663232/STEM/92fa6d8b-df82-499b-960f-1c68e51dee91.png?resizew=600)
(1)长方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
(2)当S是长方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
(3)如图2,当正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15bd0f9667e03c3b26f5c0d3540a89d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4083c581c6027c4b2ae7e3b3749f485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d29e7c4d6216690152430b09f9cf0c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9cc98e6df306063e645044f0faa7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b93287366eb7c6d40208734cde6a2e41.png)
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较难
(0.4)
【推荐2】已知
,
,
平分
,
平分
.(本题中的角均为大于
且小于等于
的角).
(1)如图
,当
、
重合时,求
的度数;
(2)当
从图
所示位置绕点
顺时针旋转
时,
的值是否为定值?若是定值,求出
的值;若不是,请说明理由;
(3)当
从图
所示位置绕点
顺时针旋转
时,满足
,则
__________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950a96f120b449d9cf5c1709867c3d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db47225f55b47c29803c4a03b98c0714.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/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235d495d88b8e51f89e2e4da27328025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
(1)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2557547eecdc826b8282058802d217.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed66570f697459aba9daa2eaf9460bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668c8b8d99ca99c67b6e79292b38e3d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4491bd26942e3609004d99ab2ecefdb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4491bd26942e3609004d99ab2ecefdb2.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed66570f697459aba9daa2eaf9460bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd248fc03c7b6aa7234dacd3d505e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eaa2c83c8e48d8fe3971f488bb25d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/12/c223de38-dc50-49b9-9e96-06422caed848.png?resizew=98)
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解答题-计算题
|
较难
(0.4)
【推荐1】若A、O、B三点共线,
,将一个三角板的直角顶点放在点О处(注:
,
).
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/6c7e623c-5373-4c94-b9e7-928054face55.png?resizew=468)
(1)如图1,使三角板的短直角边
在射线
上,则
________;(直接写出结果)
(2)如图2,将三角板
绕点О逆时针方向旋转,若
恰好平分
,则
所在射线是
的平分线吗?如是,请说明理由.
(3)如图3,将三角板
绕点О逆时针转动到使
时,求
的度数;
(4)将图1中的三角板绕点О以每秒
的速度沿逆时针方向旋转一周,在旋转的过程中,第t秒时,
所在的直线恰好平分
,则t的值为_________.(直接写出结果)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76cc7fec25d61981c418248e5e933cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95a92fcd0cd5e55f1d32d42504a5690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118fc8ed1522923fb3b57ac11752245e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/6c7e623c-5373-4c94-b9e7-928054face55.png?resizew=468)
(1)如图1,使三角板的短直角边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1f08bd1651f93a4303cf3a3b822391.png)
(2)如图2,将三角板
![](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/9fed1f57a835af4e9022e27603d12d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
(3)如图3,将三角板
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711e331195e55e1c0133b0286d61a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217fa490d08fd4d1917506260dbe0e4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
(4)将图1中的三角板绕点О以每秒
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/741a44528782580d24249e8075b8cd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fed1f57a835af4e9022e27603d12d31.png)
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解答题-问答题
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较难
(0.4)
【推荐2】七年级学生小聪和小明完成了数学实验《钟面上的数学》后,制作了一个模拟钟面,如图所示,点O为模拟钟面的圆心,M、O、N在一条直线上,指针
、
分别从
出发绕点O转动,
顺时针转动,
逆时针转动,
运动速度为每秒转动
,
运动速度为每秒转动
,设转动的时间为t秒(
),请你试着解决他们提出的下列问题:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/30/21c60fad-7945-4143-bcbe-64557ecdea0b.png?resizew=338)
(1)当
秒时,求
的度数;
(2)当
与
第三次重合时,求
的度数;
(3)在
与
第四次重合前,当
___________时,直线
平分
.
![](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/a03eb6ad505dffb71c53df51e311d26e.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/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c12e76fbd84eeec721386bd3b04cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/741a44528782580d24249e8075b8cd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/30/21c60fad-7945-4143-bcbe-64557ecdea0b.png?resizew=338)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
(2)当
![](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/4c9de708d1544ebe0b82e7e6e2102382.png)
(3)在
![](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/825116eb345f5505ebc8c1cdb8a1f131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
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