hzb53jl55v的部落格

標題:

數學parabola問題

• z score
• 捉猴啦p攻略
• X Japan 中文日文同英文音歌詞@1@

此文章來自奇摩知識+如有不便請留言告知

發問:

1. P and Q are two variable points of parameters p and q on the parabola 8y=x^2 such that OP is perpendicular to OQ. O is the origin (a). Find the equation of the chord PQ (b). Show that the chord PQ passes through a fixed point

最佳解答:

P(4p, 2p2 ), Q(4q, 2q2 ) ≠ (0,0) vector OP dot OQ = 0 = 16pq+ 4(pq)2 , pq= -4 , q= -4/p, Q( -16/p, 32/p2) slope of PQ = (p- 4/p)/2 (a) equation of line PQ : 2(y-2p2)= (p- 4/p)(x-4p) or 2y=(p-4/p)x+ 16 parametric of quation of PQ= (4p- 4(p+4/p) t, 2p2+ (32/p2- 2p2) t ), 0
其他解答: