如图,在△ABC中,AD⊥BC,垂足为D,∠B=60°,∠C=45°.
(1)求∠BAC的度数.
(2)若
=4,求AD的长.
(1)求∠BAC的度数.
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648cf8ab7773bbd7320ce7c51188ff2d.png)
![](https://img.xkw.com/dksih/QBM/2020/10/21/2575682075475968/2578544026214400/STEM/cb951dbd760c441789824d5219930fe5.png?resizew=151)
更新时间:2020-10-25 12:04:09
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解答题-作图题
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【推荐1】如图,在
中,
,
,
![](https://img.xkw.com/dksih/QBM/2023/4/12/3214843411021824/3221453535027200/STEM/c07b5a1911c74943a8739ac0aaa54021.png?resizew=125)
(1)请用尺规作图法,作
的垂直平分线
,交
于点D,交
于点E(不要求写作法,保留作图痕迹);
(2)在(1)的条件下,连接
,求
的度数.
![](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/65c5840e0454fdec7d2158072c43b8db.png)
![](https://img.xkw.com/dksih/QBM/2023/4/12/3214843411021824/3221453535027200/STEM/c07b5a1911c74943a8739ac0aaa54021.png?resizew=125)
(1)请用尺规作图法,作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)在(1)的条件下,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79cd9d0d73549e2944578f3513631ce5.png)
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解答题-证明题
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【推荐1】已知:如图,四边形ABCD内接于⊙O,对角线AC为⊙O的直径,点E在CD的延长上,且∠EAD=∠ABD.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/11/7576899e-9bca-4edf-9f1a-486d2829a086.png?resizew=151)
(1)求证:AE是⊙O的切线;
(2)若BD//AE,AB=6,⊙O的半径为5,求AE的长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/11/7576899e-9bca-4edf-9f1a-486d2829a086.png?resizew=151)
(1)求证:AE是⊙O的切线;
(2)若BD//AE,AB=6,⊙O的半径为5,求AE的长.
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解答题-证明题
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【推荐2】如图,
是
的直径,弦
于点
,点
在
上,弦
与
交于点
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/9/e2a94f44-3425-45ae-ae9e-2bc83837c556.png?resizew=146)
(1)求证:
;
(2)若
,
,求
的长度.
![](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/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560d7fbccb387b87e7eab14363dedbb0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/9/e2a94f44-3425-45ae-ae9e-2bc83837c556.png?resizew=146)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f45fbbead2f6092debad6d5d410a553.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f732fce92dd33b28a254c2b1ae2261e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fad110cc650ed13eb266f77b69610bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
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