如图,在△ABC中,点D是边AB上一点且∠ACD=∠B.
(1)求证:△ACD∽△ABC;
(2)若AB=6,AD=2,求AC的长.
(1)求证:△ACD∽△ABC;
(2)若AB=6,AD=2,求AC的长.
![](https://img.xkw.com/dksih/QBM/2020/2/3/2390874836615168/2391594162987008/STEM/0d3db93bd8e347b7bb552323b7ebc4d8.png?resizew=193)
更新时间:2020-02-04 08:53:41
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【知识点】 相似三角形的判定与性质综合
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解答题-证明题
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较易
(0.85)
【推荐1】如图,
为
的直径,C为
上一点,直线
是
的切线,
于点D,
交
于点F,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/1eab5dc4-198c-4f41-bc84-3a8acb02f629.png?resizew=198)
(1)求证:
平分
.
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ccd5c41c921836b50f8e18abfdc5df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/1eab5dc4-198c-4f41-bc84-3a8acb02f629.png?resizew=198)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189a0821a0ffab9dc171ecd279ba442.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d14ac4b6a67a40322d55787e28537c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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