MQ36 --- ℂ
2012-09-06 4:33 am
MQ36 --- ℂDifficulty: 35%Given 4 points O = 0, A = 1, B and C = B² on the ℂ planewhich B and C are above real axis and ||OA|| = ||OB||, find the ratio of area∆ᴏᴀʙ to area∆ᴏʙᴄ.
回答 (1)
2012-09-08 12:03 am
✔ 最佳答案
Let B=cost + i sint, C=cos(2t)+ i sin(2t), 0 < t < π, then∆OAB=(1/2)*1*1 sint
∆OBC=(1/2)*1*1 sint
the ratio is 1
2012-09-07 16:05:32 補充：
Correct:
Let B=k(cost + i sint), C=k²[cos(2t)+ i sin(2t)], 0 < t < π, then
∆OAB=(1/2)*1*k sint
∆OBC=(1/2)*k*k² sint
the ratio is k²=|OB|²
2012-09-07 16:06:12 補充：
k=|OA|=|OB|= 1
2012-09-07 16:38:03 補充：
∠AOB= t
∠BOC= t
收錄日期: 2021-04-13 18:57:38
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20120905000051KK00618