如图,四边形
内接于
,求证:
是等边三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a4509023ff436a03bb647c8fd3d40f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/25/20cb2032-2802-4b49-8820-40997d857446.png?resizew=187)
21-22九年级上·青海海东·期末 查看更多[10]
青海省海东市互助土族自治县2021-2022学年九年级上学期期末数学试题(已下线)第08讲 圆周角-【帮课堂】2022-2023学年九年级数学上册同步精品讲义(苏科版)(已下线)专题24.8 弧、弦、圆心角(基础篇)(专项练习)-2022-2023学年九年级数学上册基础知识专项讲练(人教版)浙江省金华市永康市第三中学2022-2023学年 九年级上学期第一次独立作业(数学)试题河北省邢台市2022-2023学年九年级上学期期中教学质量调研数学试卷陕西省渭南市华阴市2021-2022学年九年级上学期期末教学评估数学试题(已下线)专题3.4 利用弧、弦、圆心角关系求解(基础篇)(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(北师大版)广东省梅州市丰顺县小胜中学2022-2023学年九年级下学期开学考试数学试题广东省河源市龙川县贝岭中学2022-2023学年九年级下学期开学考试数学试题(已下线)24.1圆的有关性质(题型精讲精练)2(原卷版)
更新时间:2022-06-23 08:56:25
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解答题-证明题
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【推荐1】如图,在
中,
,
是BC的中点,
于点E,
于点F.
(1)若
,求证:
是等边三角形;
(2)如果
,
,求DE的长.
![](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/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761a77e11e1e45c2a8b2d34d22cf8e04.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0b4de7037d1917b0a964db6438df07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914a0f9a14fd49a938a90618cc5843e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f186ea827f7becafd1ac4955e22c6812.png)
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【推荐2】如图,AB是⊙O的直径,P是AB上一点,C、D分别是圆上的点,且∠CPB=∠DPB,弧DB=弧BC,试比较线段PC、PD的大小关系.
![](https://img.xkw.com/dksih/QBM/2018/8/16/2011751065255936/2049728190300160/STEM/980fb6bba16d4e38a467aa969fac5241.png?resizew=191)
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【推荐1】如图,四边形ABCD内接于⊙O,∠ABC=135°,AC=4,求⊙O的半径长.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/18/6ed81dc1-4cdc-4563-9783-d3cfb8f7bb54.png?resizew=154)
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【推荐2】如图,延长圆内接四边形的边
和
,相交于点E.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/30/9f52718a-71a0-412f-84eb-a75d1ffe4202.png?resizew=184)
(1)证明:
.
(2)若
,求
的长度.
(3)若
,且该圆的半径是5.求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/30/9f52718a-71a0-412f-84eb-a75d1ffe4202.png?resizew=184)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e499055307f034a82681edd00f90be.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c4ee0cb369d339c5fff36c77594632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca4a0e82f490f3cbe1cca1ee51becfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd6ffb78dad3375efa3b08ab518553d.png)
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