1 . 在
中,
的对边分别是a,b,c.下列条件中,不能说明
是直角三角形的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23beb7fa35ed321584f95c7507b8b78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4卷引用:四川省凉山彝族自治州西昌市西昌航天学校2020-2021学年八年级下学期期中数学试题
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2 . 如图,
,
,点E是边
上一点,连接
交
的延长线于点H,点F是边
上一点,使得
.作
的角平分线
交
于点G,若
,则
的度数是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9067ce1317d0dc6bfeb2e4683ee7e9f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e0d9c75d8e6f54d102dd84e98e8d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e90b61b597057c8d4a99714d79e119e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38dd856889c5554ce3ea0afd87b7eb56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50cf5d8784e1c3f5132a7915010c1be5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/30/249ba2a5-3054-48ca-b763-5b017fe458aa.png?resizew=200)
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3 . 如图, 将
绕着点
逆时针旋转
后得到
, 若
, 则
的度数为 ( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/25/bd5703fc-4099-432f-985b-a31bd1b63f3a.png?resizew=162)
![](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/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ca4d3b13d7d7e4c0341f5810a2f8b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c908bba545642822d26d53ac9b9699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cba6e1f8eee0dcf8ffcace13fd1fb16.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/25/bd5703fc-4099-432f-985b-a31bd1b63f3a.png?resizew=162)
A.![]() | B.![]() | C.![]() | D.![]() |
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四川省遂宁市城区2020-2021学年七年级下学期期末数学试题云南省昆明市2020-2021学年九年级上学期期末数学试题福建省漳州市2020-2021学年七年级下学期期末考试数学试题(华师大版)四川省南充市嘉陵区实验中学2022-2023学年九年级上学期期末数学试题云南省临沧市凤庆县2021-2022学年九年级上学期期末数学试题山东省临沂市兰山区临沂实验中学北校区2022-2023学年九年级上学期(线上)期末数学试题(已下线)第1课时 图形的旋转-2022-2023学年九年级数学上册同步考点知识清单+例题讲解+课后练习(人教版)云南省曲靖市宣威市乐丰乡第二中学2022-2023学年九年级上学期第三次月考数学试题广东实验中学附属天河学校2021-2022学年九年级数学上学期开学测数学试题
4 . 已知:如图,直线
直线GH,在
中,
,顶点A在
上,顶点B在
上,且
平分
,若
,求
的度数.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/22/8d2ee2e4-63ae-448b-9509-d7eb95d164a5.png?resizew=180)
∵
,
(已知)
∴
(直角三角形两锐角互余)
∵直线
直线GH(已知)
∴____________
.(______)
∵BA平分
(已知)
∴
______
.(______)
又∵直线
直线GH(已知)
∴
______
.(______)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a407b262c22419f73396170ecdc849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88d1649c93a775286ba1b1a9e04ddbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1a13346c7971d064ef14cecd9a9ed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba1c2426cb3d609cf55eb3ed5727388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/22/8d2ee2e4-63ae-448b-9509-d7eb95d164a5.png?resizew=180)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba1c2426cb3d609cf55eb3ed5727388.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729d5ae0055047b791ad9d441c2a90a5.png)
∵直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a407b262c22419f73396170ecdc849.png)
∴____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36afbd2bac7277f32e6f72353f9582a.png)
∵BA平分
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1a13346c7971d064ef14cecd9a9ed5.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c56cdefc2913b8ba37ab8a1e94aac9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffbbff1c9b0443599062dca588fc5e3b.png)
又∵直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a407b262c22419f73396170ecdc849.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0c46783b77cce2bd4b45b9acc61884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffbbff1c9b0443599062dca588fc5e3b.png)
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5 . 如图,已知
,
,连接
,则
的度数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79a8307b29a34350a903498a7777110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f6f9075c6f87b798d6923bb5cb1fea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd1bc0388e7fad3e849ca39c67f5034.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/23/d802a1a0-3ad6-4697-a8a2-2ea5b8e18f3f.png?resizew=155)
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6 . 已知等腰
中一腰上的高与另一腰的夹角为
,则
的底角度数为___________ 度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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7 . 如图,在
中,
,
是边
上的一点,
,
,
的度数为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467a71e07b0e1fa31d76b1e4fbc714cf.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/6aeb7d8bfd4877a9bd85b7cc69aec40a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e4922faa221696c784929011ad1bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5157b42da58d55daad27d98b2fec15ff.png)
![](https://img.xkw.com/dksih/QBM/2023/1/2/3144080181133312/3147112577531904/STEM/6b94a50e93844cf698489b3cd6cc34b4.png?resizew=163)
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8 . 如图,在
中,
,点D在线段
上运动(D不与B、C重合),连接
,作
交线段
于E.
时,
;点D从B向C运动时,
逐渐变 (填“大”或“小”);
(2)当
等于多少时,
,请说明理由;
(3)在点D的运动过程中,
的形状也在改变,判断当
等于多少度时,
是等腰三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c211d9b82261a2e7bed96152d32da095.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/a5479ee76e1bc0353d86dd6e78425988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d66f960a3bcd33415c0541fe5778f9c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0c46783b77cce2bd4b45b9acc61884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83873a9d782f2588c5eedbfe73f9bc2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b47abcacc10f90489c0d52a9e269ab.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22cda279d3cd75eeb603b14a3b94e420.png)
(3)在点D的运动过程中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b47abcacc10f90489c0d52a9e269ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
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9 . 如图,
中,
的垂直平分线分别交
、
于点
、
、
的垂直平分线分别交
、
于点
、
,连接
、
.
![](https://img.xkw.com/dksih/QBM/2022/11/17/3111718314622976/3115124167655424/STEM/7f38c3ebe17b41f8abf7a420e9059cf8.png?resizew=225)
(1)若
的周长为
,求线段
的长;
(2)若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://img.xkw.com/dksih/QBM/2022/11/17/3111718314622976/3115124167655424/STEM/7f38c3ebe17b41f8abf7a420e9059cf8.png?resizew=225)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00870385ca7f3214e2971779eb4c7904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b3ccbed8aa44da96fbf16bb9978b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb04f507cc2eadbb5881f815d206d81e.png)
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10 . 如图,已知
,点E在
上,
与
相交于点F.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/4aec44e6-f0fa-40be-aa04-21228d0e9586.png?resizew=120)
(1)若
,
,求线段
的长;
(2)已知
,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b15038cde7a33b018953d9b115d2a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/4aec44e6-f0fa-40be-aa04-21228d0e9586.png?resizew=120)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea147ada4f0aefdd3808a6a1133792eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae54a216ed6a5bc56af1f501426ca438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998329f9cdb86f5d60d7d5d70fc3781e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90026b96116424a245b335b1adb886b.png)
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