如图,AB是⊙O的直径,C是⊙O上一点,OD是半径,且OD∥AC,求证:
=
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bb3820bab977db734f4335e4fde720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd6ffb78dad3375efa3b08ab518553d.png)
![](https://img.xkw.com/dksih/QBM/2019/9/22/2296178541527040/2296727003209728/STEM/b69bb8bc1a6748c483087a7ad82dec74.png?resizew=146)
更新时间:2019-09-23 08:05:57
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【推荐1】如图,弦AB=CD,AB与CD相交于点E,求证:(1)
;(2)AE=DE.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb12d9cbf4d45e8efc4f53c41e2d932.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/8/e2e37d6e-eec4-4bb7-82e5-221273e3a931.png?resizew=149)
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【推荐2】已知:如图,C,D是以AB为直径的⊙O上的两点,且OD∥BC.求证:AD=DC.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/3/b1d90f22-0ff9-4637-a04e-ce11f0c2ffa8.png?resizew=160)
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【推荐1】如图,
是
的外接圆,
为直径,
,
交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/12/b426c20e-1fd3-479a-bed0-e471c58a0002.png?resizew=186)
(1)求证:
是
的切线;
(2)若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a62fb87c3015d89cbe0aafa9c7071bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c38bbe49284a2ceab26001ced8cfd56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/12/b426c20e-1fd3-479a-bed0-e471c58a0002.png?resizew=186)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065f2c3527fcc9d84939c47ac8640643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8cc58ef27567f0ab06eb1012aec330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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【推荐2】如图,已知AB是⊙O的直径,C,D是⊙O上的点,OC∥BD,交AD于点E,连结BC.
(1)求证:AE=ED;
(2)若AB=6,∠ABC=30°,求图中阴影部分的面积.
(1)求证:AE=ED;
(2)若AB=6,∠ABC=30°,求图中阴影部分的面积.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/23/3562dbcb-7884-4f4a-8575-c803151c8a54.png?resizew=142)
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