如右图所示,有一个圆柱,底面圆的直径为
cm,高BC=12 cm,P为BC的中点,求蚂蚁从A点爬到P点的最短距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc72212c5c808da1827fe67d4de44546.png)
![](https://img.xkw.com/dksih/QBM/2018/8/18/2012959826853888/2013293261381632/STEM/4a81f3525e3e4474940fdaea52fbb7cf.png?resizew=104)
18-19八年级上·全国·期中 查看更多[1]
更新时间:2018-08-18 21:18:32
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【知识点】 选址使到两地距离相等(勾股定理的应用)解读
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解答题-问答题
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适中
(0.65)
【推荐1】在一条东西走向河的一侧有一村庄
,河边原有两个取水点A、
,其中
,由于某种原因,由
到
的路现在已经不通,该村为方便村民取水决定在河边新建一个取水点
(
、
、
在同一条直线上),并新修一条路
,测得
米,
米,
米.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/ca1477dd-5c14-4798-b99e-40ca97d419e0.png?resizew=119)
(1)问
是否为从村庄
到河边最近的路?请通过计算加以说明;
(2)求原来的路线
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3570a95f68349fcd9417fcda62e78e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e87e786cc3a621ef7148a2434c8408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9e38e804c0d3e6caaffdd6534177769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0a44328f6afdcc885f0cc21247c1e09.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/ca1477dd-5c14-4798-b99e-40ca97d419e0.png?resizew=119)
(1)问
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求原来的路线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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解答题-问答题
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适中
(0.65)
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【推荐2】如图,小明家在一条东西走向的公路
北侧
米的点
处,小红家位于小明家北
米(
米)、东
米(
米)点
处.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/af1789c2-a54f-4f43-bd98-c8782f9fc382.png?resizew=279)
(1)求小明家离小红家的距离
;
(2)现要在公路
上的点
处建一个快递驿站,使
最小,请确定点
的位置,并求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dd550e1ad9bbf01687ffb4aab788ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821b8672d030c240ff230a0174aa7a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a815f0c08905c2cf356653e667a0f878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3adf666d629e9a4f0c82fb98f6878f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a1c5c9e732e9042602920372d444d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/af1789c2-a54f-4f43-bd98-c8782f9fc382.png?resizew=279)
(1)求小明家离小红家的距离
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)现要在公路
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13ec9a812274ad0839f20ba17348687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13ec9a812274ad0839f20ba17348687.png)
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