1 . 如图,
是
的直径,点C是圆上一点,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2564c7e5e5c6e7e1f5b3f8266f30661b.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3f8cb648966fd4ff28896fe8f9e04d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2564c7e5e5c6e7e1f5b3f8266f30661b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/27/c96d3a56-5c4d-4e52-8840-61d140ef719a.png?resizew=131)
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2 . 一个等腰三角形的两边长分别是
、
,则它的周长为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a9eed64d225267a58cd001db67e2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
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20卷引用:宁夏回族自治区中卫市沙坡头区第七中学2022-2023学年八年级下学期3月月考数学试题
宁夏回族自治区中卫市沙坡头区第七中学2022-2023学年八年级下学期3月月考数学试题海南省海口市丰南中学等部分校2022-2023学年七年级下学期6月月考数学试题(已下线)江苏省泰州市姜堰区第四中学2023-2024学年八年级上学期数学第一次学情了解9.26海南省海口市秀英区丰南中学2022-2023学年七年级下学期随堂测试训练二数学试题江苏省泰州市姜堰区第四中学2023-2024学年八年级上学期9月月考数学试题湖南省岳阳市临湘市2023-2024学年八年级上学期期中数学试题江苏省盐城市滨海县2023-2024学年八年级上学期期中数学试题江苏省连云港市海州区新海实验中学2023-2024学年八年级上学期期中数学试题2016-2017学年江苏大丰区第一共同体初二上期中考试数学卷山东省济宁市微山县清华实验学校2019-2020学年八年级上学期9月月考数学试题广西壮族自治区河池市罗城仫佬族自治县2018-2019学年八年级上学期期末数学试题江苏省常熟市2019-2020学年八年级上学期期末数学试题江苏省南京市高淳区2019-2020学年八年级上学期期末数学试题广西柳州市融水县2021-2022学年八年级上学期期中质量检测数学试题安徽省池州市贵池区2021-2022学年八年级上学期期末数学试题广东省佛山市南海区桂城街道平洲第二初级中学2021-2022学年八年级下学期第一次大测数学试题吉林省长春市解放大路学校初中部2021-2022学年七年级下学期 数学期中试题江苏省苏州市吴江区吴江区青云中学2022-2023学年八年级上学期9月月考数学试题江苏省苏州市苏州高新区实验初级中学2022-2023学年八年级上学期12月月考数学试题广东省佛山市禅城区佛山二校(四中、智城)联考2023-2024学年八年级下学期月考数学试题
3 . 如图,将
绕点
按逆时针方向旋转
,得到
,若点
恰好在
的延长线上,则
的度数为( )
![](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/9e3b753ad06d7e5a41d809c8d32552e8.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/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d3e081637bcea5368cc72370bae283b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/12/d010380b-8175-451c-b213-c4642e0fb60a.png?resizew=162)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 如图,在矩形
中,
,
,点P从点A出发,以每秒
个单位长度的速度沿
方向运动,点Q从点C出发,以每秒2个单位长度的速度沿对角线
方向运动.已知P,Q两点同时出发,当点Q到达点A时,P,Q两点同时停止运动,连接
.设运动时间为t秒.
(1)
______,
______.
(2)当t为何值时,
的面积为
.
(3)是否存在某一时刻t,使
是以
为底边的等腰三角形?如果存在,求出t值,如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ddad21a6de8f54e65123d274c0098c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aabecf66d94e4094f9cc46fd8ee050f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/8/222d641b-7d69-48e2-91d0-fb43491e6a0c.png?resizew=175)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
(2)当t为何值时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(3)是否存在某一时刻t,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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5 . 如图,将
绕点C按逆时针方向旋转
后得到
,点D恰好落在
上,则
的度数是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb94bd9eb80fb9f5f02f518bb8f2211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b265d121f9ebc13671a5719604476a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9d16fab0f52c8af5abba0bf19a06ea0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/6/f103b208-7798-4f28-98a2-610a27844072.png?resizew=153)
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6 . 在
中,
,
,若点P在
上移动,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8817091d0f4b7d7ac6df560cb63c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/6/4ee949e3-1a39-47b5-97b0-bf8b5cad9bd8.png?resizew=134)
A.![]() | B.6 | C.![]() | D.5 |
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7 . 如图,
为
的直径,
是圆的切线,切点为
,
平行于弦
.
(1)求证:
是
的切线;
(2)直线
与
交于点
,且
,
,求
的半径.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/7/3f02e715-c2b8-46a0-a2a1-a109b73fc936.png?resizew=178)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/169145cfb31e4fc502a3b2f47a644831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc39144b305c67d44410d41053a1d28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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10卷引用:宁夏回族自治区石嘴山市平罗县2022-2023学年九年级上学期期末数学试题
宁夏回族自治区石嘴山市平罗县2022-2023学年九年级上学期期末数学试题(已下线)专题11直线与圆的位置关系(6个知识点7种题型3种中考考法)-【帮课堂】2023-2024学年九年级数学上册同步学与练(苏科版)黑龙江省齐齐哈尔甘南县兴十四镇中心学校等三校2022-2023学年九年级下学期开学考试数学试题黑龙江省齐齐哈尔市龙沙区2023-2024学年九年级上学期期中数学试题黑龙江省齐齐哈尔市2023-2024学年九年级上学期期中数学试题湖北省黄石市太子中学2023-2024学年度九年级上学期期中模拟数学试题湖南省长沙市长沙县集团联考2023-2024学年九年级上学期月考数学试题山东省济宁市2022-2023学年九年级上学期期中数学试题山东省济宁市金乡县2022-2023学年九年级上学期期中数学试题黑龙江省齐齐哈尔龙沙区2022-2023学年九年级上学期数学期末试卷
8 . 先阅读下面的内容,再解决问题.
例题:若
,求m和n的值.
解:因为
,
所以
,
所以
,
所以
,
,
所以
,
.
问题:
(1)若
,求
和
的值;
(2)已知
,
,
是等腰
的三边长,且
,
满足
,求
的周长.
例题:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df0242b1f8d32c7f2381f471b986f69.png)
解:因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df0242b1f8d32c7f2381f471b986f69.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf8ce4817f2a6b7a83904e2f3ec1562.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa8d3a3ba6e168ec087d32bce2d895a.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7568123c098b83d3afd8f8f0fc81b1de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c641d33e9984be279e7db5ee90ef41a3.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eeae3d0886ea80770248bf577737c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6862dd3c43647ce7d7935a7d205b54d2.png)
问题:
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ec7ec0cdfd94544417ebc2736e3454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b6ff9652408b48232e4d9605e62ba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
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9 . 如图,
中,
,
,
可以由
绕点A顺时针旋转
得到(点
与点B是对应点,点
与点C是对应点),连结
,则
的度数是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d53c82934dd013b37e71f56fe0dbf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1dc5667bbf205d6c6c6d189ebda123e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ecd99e43bc197959e43dc0a2e288e7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/20/459fa4fa-5d2b-4f4d-bfe9-133070337577.png?resizew=134)
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10 . 如图,在
中,
,
是中线,
,
与
交于点
.若
,则
的度数为 ________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2b365fd3ae84b5355eaa01639e8baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d19f963f7c803bcfcbb265ec6d4304.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/23/d216ffd5-8652-4e53-83c7-52517c4fae8c.png?resizew=114)
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宁夏固原地区2022-2023学年八年级下学期期末数学试题2023年吉林省松原市扶余市三校九年级第二次模拟数学试题(已下线)专题2.9 直角三角形斜边的中线五大题型-2023-2024学年八年级数学上册举一反三系列(浙教版)(已下线)专题2.6 直角三角形斜边的中线五大题型-2023-2024学年八年级数学上册举一反三系列(苏科版)(已下线)专题24.3 直角三角形斜边的中线五大题型-2023-2024学年九年级数学上册举一反三系列(华东师大版)