1.有咩方法可以證4點係concylic,請詳細列出方法(最好中英解釋)
(如果不懂答第2題,可只答第1條)
2.P(3t,3/t) and R(-3/t,-3t)are two distinct points on the hyperbola H:xy=9, where t not equal -1,0 and 1. The tangents to H at P and R intersect at the point Q while the normals to H at P and R intersect at the point S.
Prove PQRS are concylic. 請列出不同的方法.
prove concylic (maths) 15pts
2011-03-10 1:55 am
回答 (1)
2011-03-10 5:56 pm
✔ 最佳答案
1. 四邊形,對角互補 <=> 四點共圓A quadrilateral ABCD,
∠BAD+∠BCD=180 degrees <=> ABCD are concyclic.
2. ∠QPS=90度, ∠QRS=90度, 故 PQRS 四點共圓
收錄日期: 2021-05-04 00:46:10
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110309000051KK00702