如图,点P是
上一点,请用尺规过点P作
的切线(不写画法,保留作图痕迹).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/26/1eaecf2b-b461-4dda-87f2-5bf669b17367.png?resizew=125)
更新时间:2023-05-22 18:21:34
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相似题推荐
解答题-作图题
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【推荐1】如图,在
中,按以下步骤作图:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/397ac06e-6ba3-4d20-98b8-292a135e334c.png?resizew=154)
(1)分别以B,C为圆心,以大于
的长为半径作弧,两弧相交于M,N两点,作直线
交
于点D;请判断是哪种基本作图:_______________________.
(2)连接
,若
,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/397ac06e-6ba3-4d20-98b8-292a135e334c.png?resizew=154)
(1)分别以B,C为圆心,以大于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d452f74791f58e8400cb8d2d6038dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffc2a946e72f26a8af584d8ead3a396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2b365fd3ae84b5355eaa01639e8baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
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名校
【推荐2】如图所示,一辆汽车在笔直的公路
上由A向B行驶,M,N分别是位于公路
两侧的村庄,当汽车行驶到哪个位置时,与村庄M,N的距离相等.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解答题-问答题
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【推荐1】在
中,
为直径,C为
上一点.
![](https://img.xkw.com/dksih/QBM/2021/4/29/2710119869816832/2710284377210880/STEM/033aca2b-a148-4a3c-95a8-20a234e4fba5.png)
(1)如图①,过点C作
的切线,与
的延长线相交于点P.若
,求
的大小;
(2)如图②,D为
上一点,且
经过
的中点E,连接
并延长,与
的延长线相交于点P,若
,求
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/2021/4/29/2710119869816832/2710284377210880/STEM/033aca2b-a148-4a3c-95a8-20a234e4fba5.png)
(1)如图①,过点C作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a272a8c3be6cff530c85be38545983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b28f28ced0531d1df34fcf04c6c67f.png)
(2)如图②,D为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667349d99185bb045030b733352ff7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f5379d492a44942d562155cf0ed45a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19768d8c55deb4973820aeab7a224e6a.png)
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【推荐2】如图,
为
的直径,点
在
上,过点
作
的切线
交
的延长线于点
,过点
作
交切线
的延长线于点
,交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/5/a9557e87-2810-4a0c-a03d-06086114b9f0.png?resizew=154)
(1)求证:
;
(2)若
,求
的长.
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da34a0b03efdcbbed07975eccfb37f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/5/a9557e87-2810-4a0c-a03d-06086114b9f0.png?resizew=154)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7178f1022e05638a818208b3141f0795.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed92ec62beb777d708ac333f1e25bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
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