如图,已知点D在⊙O的直径AB延长线上,点C在⊙O上,过点D作ED⊥AD,与AC的延长线相交于点E,且CD=DE.
(1)求证:CD为⊙O的切线;
(2)若AB=12,且BC=CE时,求BD的长.
更新时间:2018-09-15 20:10:41
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【知识点】 证明某直线是圆的切线解读
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解答题-证明题
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适中
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【推荐1】如图,已知△
内接于
,
为直径,D是
上一点.且
,过点C作
.交
的延长线于点E.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/8/791df213-0138-45fd-87a7-6198901be0d5.png?resizew=153)
(1)求证:
是
的切线;
(2)若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a9614027c632080d9dbb0e4c61abde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f928d504c01692dc23475563b781db24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96461af9193d5d7867ddf8fcbefcaec.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/8/791df213-0138-45fd-87a7-6198901be0d5.png?resizew=153)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26ad70d2b3aac8604834d57dfc59bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31bdeee4aefde561e8bc87b08284884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
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解答题-问答题
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适中
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【推荐2】如图1,
是
的内接三角形,
,
是
的一个外角,
平分
.
是
的切线;
(2)如图2,过点C作
的切线交
于点F,若
.
①请判断四边形
的形状,并说明理由;
②当
时,求图中阴影部分的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721c75fcd58d3d54260aad0f82e09e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721c75fcd58d3d54260aad0f82e09e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)如图2,过点C作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4474c82ae786e175b5e603b81bc8018d.png)
①请判断四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba6f4177822927b5875b92cd5f2038.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
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