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作者 fragmentwing 在 PTT [ Math ] 看板的留言(推文), 共224則
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[幾何] 幾何作圖...
[ Math ]30 留言, 推噓總分: +4
作者: kku6869 - 發表於 2020/10/24 14:02(3年前)
1Ffragmentwing: OA*OC=OD*OB 這條件讓我想到0.5absinc10/24 14:52
2Ffragmentwing: 也就是說三角形面積OAC=OBD10/24 14:53
3Ffragmentwing: 所以 我是這樣想的 先將L1 L2延伸至到相交 交點為P10/24 14:53
4Ffragmentwing: 以P為圓心 PB為長度畫圓接L1得B' PA類推得A'10/24 14:55
5Ffragmentwing: B'即C A即D'10/24 15:02
6Ffragmentwing: OAC和OBD全等10/24 15:02
7Ffragmentwing: 還是你的O有固定?10/24 15:02
9Ffragmentwing: O有可能一定在AB中點 我稍微想想10/24 15:10
20Ffragmentwing: 想不到太嚴謹的証法 只好耍賴了10/24 16:34
21Ffragmentwing: https://imgur.com/jbPfDUN10/24 16:34
22Ffragmentwing: 不龜毛的話 應該已經足夠了10/24 16:35
23Ffragmentwing: 確實是唯一解10/24 16:36
26Ffragmentwing: 就是因為o的位置在AB線段上變動時10/24 18:07
27Ffragmentwing: 由於面積一樣 可以得到COD會凹到(不是直線)的結論10/24 18:08
28Ffragmentwing: 所以o一定得待在那個位置10/24 18:08