如图,已知
,
,
,
.
为等边三角形;
(2)求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287d5c480994c8d47835cff34d84025c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0188b06b514e41f298449ede057e2062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e9e7c56e8eeda044fb55396088816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9817d6eaf6f9454152b2891f33aaa760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
21-22八年级上·云南昭通·期末 查看更多[7]
云南省昭通市昭阳区第一中学2021-2022学年八年级上学期期末数学试题山东省济南市长清区华曜实验学校2022-2023学年八年级上学期期末数学试题(已下线)专题06 等边三角形(五大类型)-2023-2024学年八年级数学上册《知识解读·题型专练》(苏科版)(已下线)专题04 等边三角形(六大类型)-2023-2024学年八年级数学上册《知识解读·题型专练》(人教版)(已下线)专题强化训练01 等腰(边)三角形的判定与性质(30题)-【帮课堂】2023-2024学年八年级数学上册同步学与练(人教版)(已下线)第02讲 等边三角形(知识解读+达标检测)-2023-2024学年八年级数学下册《知识解读·题型专练》(北师大版)(已下线)第05讲 等边三角形的性质和应用(知识解读+达标检测)-2023-2024学年七年级数学下册《知识解读·题型专练》(北师大版)
更新时间:2023-01-26 23:14:24
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解答题-问答题
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名校
【推荐1】如图,在△ABC中,AB=AC,CD⊥AB于点D,∠A=50°,求∠BCD的度数.
![](https://img.xkw.com/dksih/QBM/2022/1/12/2893125570519040/2893480861130752/STEM/1ebc4e75-602c-4b42-9ae8-525e0265daf2.png?resizew=157)
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解答题-作图题
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【推荐2】在
中,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/9/f0361f59-b40f-4265-b4bd-7f5195cdd2c4.png?resizew=170)
(1)求线段
的长;
(2)作边
的垂直平分线分别交
,
于点
和点
(利用尺规作图,保留作图痕迹);
(3)连接
,若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/9/f0361f59-b40f-4265-b4bd-7f5195cdd2c4.png?resizew=170)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)作边
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2b365fd3ae84b5355eaa01639e8baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db0641078052bf1af17b4c5a01b9ccc.png)
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解答题-证明题
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【推荐1】如图,将
绕点
顺时针旋转
得
,点
的对应点
恰好落在
的延长线上,连接
.AC,DE相交于点P.
(Ⅰ)求证:△ADB是等边三角形;
(Ⅱ)直接写出∠APD的度数______.
![](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/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe4bdc5d9e833b23a1b916c06fc1a35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(Ⅰ)求证:△ADB是等边三角形;
(Ⅱ)直接写出∠APD的度数______.
![](https://img.xkw.com/dksih/QBM/2021/11/17/2853106572582912/2858076839919616/STEM/d415616c490d493bada6e841f3c9bbe5.png?resizew=181)
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解答题-作图题
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【推荐2】如图,在
中,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/8afc7736-0034-488b-9816-f6716337b8b5.png?resizew=159)
(1)用直尺和圆规求作
的外接圆(保留作图的痕迹)
(2)若
,
,求弧
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f89deb952f57f4b3fa4887b098b7b91.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/8afc7736-0034-488b-9816-f6716337b8b5.png?resizew=159)
(1)用直尺和圆规求作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f97ad55d2237ea4b2d01b3751102c06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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