如图,P是直线l外一点,A、B、C是直线l上的三点,且
与l垂直,在从P到直线l的多条道路中,最短路线是___ (只填序号即可),理由是___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/13/a560dd89-3b95-48ae-81e9-daa1d21c6cb2.png?resizew=197)
更新时间:2023-05-13 22:16:18
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【推荐1】如图,小军从村庄(点O所在位置)到公路(直线l)有四条小道,分别是
,其中路程最短的是
,小军判断的依据是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bca32ffa13c674d0cd1f8db232f216b.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/16059d67-9377-414d-9e0d-10029e86a803.png?resizew=146)
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【推荐2】如图,有三条道路围成
,其中
,一个人从
处出发沿着
行走了
,到达
处,
恰为
的平分线,则此时这个人到
的最短距离为___________ m.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614c45b20f915ed6975e41a6ed23e3e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea92883fe24b097c9a881ef8c92eb1.png)
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【推荐1】在同一平面内,若直线AB⊥m,AC⊥m,则AB和AC的关系是________ ,理由是 _________ .
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【推荐2】如图所示,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/28/8970167c-c7e3-4b55-8e49-5f26aaff1a27.png?resizew=123)
(1)表示点到直线(或线段)距离的线段共有_______ 条,它们分别是_____________ .
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
______
(填“>”或“<”或“=”),依据是_______________________________ ;
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab15f71acf24a48b4ea4efac5f09b718.png)
______
(填“>”或“<”或“=”),依据是________________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/28/8970167c-c7e3-4b55-8e49-5f26aaff1a27.png?resizew=123)
(1)表示点到直线(或线段)距离的线段共有
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab15f71acf24a48b4ea4efac5f09b718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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