问一道几何题

来源: sfbayparent 2016-04-21 01:01:47 [] [博客] [旧帖] [给我悄悄话] 本文已被阅读: 次 (249 bytes)

Let A and B be points on the lines y=3 and y=12, respectively. There are two circles passing through A and B that are also tangent to the x-axis, say at points P and Q. Suppose that PQ=2012. Determine the distance AB.

 

所有跟帖: 

勾股定律,2012.02? -xioduo- 给 xioduo 发送悄悄话 xioduo 的博客首页 (0 bytes) () 04/21/2016 postreply 01:55:55

不失一般性,设点A同时在Y轴上,点A坐标为(0,3), 设 点B的坐标为(B,12) -XYZ3- 给 XYZ3 发送悄悄话 (944 bytes) () 04/21/2016 postreply 02:17:32

最后AB的长度是1509 -XYZ3- 给 XYZ3 发送悄悄话 (373 bytes) () 04/21/2016 postreply 15:09:50

牛,实在是太牛了 -sfbayparent- 给 sfbayparent 发送悄悄话 sfbayparent 的博客首页 (0 bytes) () 04/22/2016 postreply 03:06:11

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