1 . 若三角形一个内角度数为α,另外两个内角的度数比为
,则称此三角形为
型三角形.若一个三角形为
型三角形,则该三角形中最大内角的度数为_________ ;若一个三角形既是
型三角形,又为
型三角形,则n的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e76eac424c35e034897a354396f9e4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa9a2d8dbec6f43e7897cf4ca875575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183ce88d02e31c57719d9cf00507fdf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b37e496951b0ae2abca9fc8b7d47ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a54da96c08390a845f1c4e84d17d40.png)
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2 . 如图,一束太阳光线平行照射在放置于地面的等腰三角形上,若
,
,则
的度数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5142a988072fb942a540cf847d142e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 在
中,
,
,
的对边分别记为
,
,
,下列结论中不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.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/071a7e733d466949ac935b4b8ee8d183.png)
A.如果![]() ![]() |
B.如果![]() ![]() ![]() |
C.如果![]() ![]() |
D.如果![]() ![]() |
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3卷引用:四川省眉山市洪雅县实验中学校2023-2024年八年级上学期第三次月考数学试题
4 . 如图,已知
,
与
交于点C,
与
交于点D,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c03746ebc90ef1be5e889aaf1b9fad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc526324e78e4d9226d1b537f27845a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 如图,在
中,
,
的外角
和
的平分线交于点E,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df38b6465039b2e0428ab0cb546c56c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faacc3aa94f13c46c2414557e1fa09b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300c70a78c1bea9fd86f4f1b0270e069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1c8f34c1315979c8b66c49bbf96173.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/a2a67b1f-4fee-4f78-bcf5-130b092ba460.png?resizew=166)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 在
中,若
,则
的外角的度数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51bd0320731dca93911ea80388df378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 在平行四边形
中,
,M是
的中点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5181b97a7e43959b8455680157c3b644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e533b38aa568366239517885e144bd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/3dc65ab6-7a26-4bec-b9fd-3509347a9a6f.png?resizew=187)
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名校
8 . 如图,将
沿BC翻折,使点
落在点
处,过点
作
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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c631670e02d2a38e9c78708a3916140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb97aff0960e2640314888a38e7169c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d230127a74c178dd87e9968178aee42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a99bb5ad8cf2abdde96624509bc7bfde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
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2024-03-11更新
|
289次组卷
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15卷引用:四川省成都市天府第七中学2022-2023学年七年级下学期期中数学试题
四川省成都市天府第七中学2022-2023学年七年级下学期期中数学试题山东省菏泽市鄄城县2022-2023学年七年级下学期期末数学试题(已下线)第13章 轴对称(单元测试·培优卷)-2023-2024学年八年级数学上册基础知识专项突破讲与练(人教版)(已下线)第2章 轴对称图形(单元测试·培优卷)-2023-2024学年八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7.8 平行线中的折叠问题的四大题型-2023-2024学年八年级数学上册举一反三系列(北师大版)(已下线)专题5.5 平行线中的折叠问题的四大题型-2023-2024学年七年级数学上册举一反三系列(华东师大版)黑龙江省哈尔滨市工大附中2023-2024学年八年级上学期期中数学试题山东省青岛市实验初中、三十七中、三十九中2022年七年级下学期期末数学试题山东省青岛市2021-2022学年七年级下学期期末数学试题(已下线)专题13.21 轴对称与折叠问题(基础篇)(专项练习)-2022-2023学年八年级数学上册基础知识专项讲练(人教版)(已下线)考点一 轴对称山东省青岛市黄岛区育才初级中学2021-2022学年七年级下学期期末数学试题黑龙江省齐齐哈尔市拜泉县第三中学2022-2023学年八年级上学期期中数学试题陕西师范大学附属中学2023-2024学年七年级下学期期中数学试题陕西省西安市陕西师范大学附属中学渭北中学2023-2024学年七年级下学期期中数学试题
名校
9 . 在
中,
,
为平面上一点,分别连接
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/231771ba-04b8-4d12-ba7e-2a4b325c0bd7.png?resizew=354)
(1)如图1,当
,点
在边
上时,以
为腰在
右侧作等腰直角
,且
,连接
.
求证:
;
(2)如图2,当
,点
在
内部时,
,
,
,求
的长;
(3)如图3,当
在
外部,且
,
,设
,
,则
的值是否发生变化,若不变,试求出这个值;若改变,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/231771ba-04b8-4d12-ba7e-2a4b325c0bd7.png?resizew=354)
(1)如图1,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.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/03902478df1a55bc99703210bccab910.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/a7c50d6d16f99c65005dfb950c30d760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421291381be28da4bd16560fd383b4a9.png)
(2)如图2,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f82265e555f7dcea1ab94d947a0cdb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb3d1070981fed5ca65a34bb2282e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(3)如图3,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4208114cb7665bc7e97c2a6b6a56e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d78524f98b01fa1dadfd277939665b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5baddc8495733d1bb6ee0786afd222df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff67e7ebad321eb34fd9428271c5b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
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|
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2卷引用:四川省成都市锦江区成都市七中育才学校2023-2024学年八年级上学期期末数学试题
10 . 如图,在
中,
,
,
和
分别是它的高和角平分线,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d3c9ce32b721995f355eea411340e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76ffd241623ec4ee9fd08876464def3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e7106619c08f2bcc1d21f846e8a0de.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/8/95d56d86-3327-4153-8b0b-310f683a0761.png?resizew=205)
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