http://www.imgtank.com/view-pic.php?img=359
如圖:
假設 AB 長為 a
則 BC = 10 - a (因為大三角形邊長 = 半圓直徑 = 10)
所以正方形邊長是 10 - a (因為上方的小三角形也是正三角形)
(即 BE = 10 - a)
另外,由三角形 ABD 我們可以知道,
√3
BD = ----- * a
2
AD = a/2
所以 OD = 5 - a/2 (O為半圓圓心)
由於 DE^2 = OE^2 - OD^2
(BE-BD)^2 = OE^2 - OD^2
將 BE = 10-a,BD = √3*a/2,OE = 5,OD = 5-a/2 代入可以算出 a
就可以進一步算出正方形邊長
但代入後得到的式子實在很難看
所以看看有沒有人有更好的方式吧
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.116.89.133
→
03/11 13:30, , 1F
03/11 13:30, 1F
→
03/11 13:33, , 2F
03/11 13:33, 2F
→
03/11 13:38, , 3F
03/11 13:38, 3F
→
03/11 13:39, , 4F
03/11 13:39, 4F
→
03/11 17:11, , 5F
03/11 17:11, 5F
推
03/11 17:14, , 6F
03/11 17:14, 6F
→
03/11 17:15, , 7F
03/11 17:15, 7F
→
03/11 17:17, , 8F
03/11 17:17, 8F
→
03/11 17:19, , 9F
03/11 17:19, 9F
→
03/11 19:22, , 10F
03/11 19:22, 10F
→
03/11 19:22, , 11F
03/11 19:22, 11F
→
03/11 19:24, , 12F
03/11 19:24, 12F
→
03/11 19:24, , 13F
03/11 19:24, 13F
→
03/11 19:28, , 14F
03/11 19:28, 14F
→
03/11 19:28, , 15F
03/11 19:28, 15F
→
03/11 19:29, , 16F
03/11 19:29, 16F
→
03/11 19:33, , 17F
03/11 19:33, 17F
→
03/11 19:35, , 18F
03/11 19:35, 18F
→
03/11 19:37, , 19F
03/11 19:37, 19F
→
03/11 19:37, , 20F
03/11 19:37, 20F
推
03/11 20:39, , 21F
03/11 20:39, 21F
推
03/11 20:43, , 22F
03/11 20:43, 22F
→
03/11 20:44, , 23F
03/11 20:44, 23F
→
03/11 21:46, , 24F
03/11 21:46, 24F
→
03/11 22:20, , 25F
03/11 22:20, 25F
→
03/11 22:20, , 26F
03/11 22:20, 26F
→
03/11 22:22, , 27F
03/11 22:22, 27F
→
03/11 22:31, , 28F
03/11 22:31, 28F
→
03/11 22:33, , 29F
03/11 22:33, 29F
→
03/11 23:37, , 30F
03/11 23:37, 30F
→
03/11 23:39, , 31F
03/11 23:39, 31F
→
03/11 23:40, , 32F
03/11 23:40, 32F
→
03/11 23:40, , 33F
03/11 23:40, 33F
→
03/12 00:32, , 34F
03/12 00:32, 34F
→
03/12 10:04, , 35F
03/12 10:04, 35F
→
03/12 10:04, , 36F
03/12 10:04, 36F
討論串 (同標題文章)