雙曲線的軌跡(1)
Author: 藍邦偉　老師

F(6,0)

雙曲線的軌跡 (1)

已知點F(6,0)，若Q點在圓C:x²+y²=16上，試求\overline{FQ}的中垂線與\overline{OQ}的交點軌跡.

q

顯示雙曲線

|\overline{PF}-\overline{PO}|=2a=r=4

2

顯示P點軌跡

α = 0 rad (slider from 0 to 6.283185307179586, step 0.003490658503988659)
O = Intersect(xAxis, yAxis)
Q: (4 * cos(α), 4 * sin(α))
a = Line(O, Q)
F = (6, 0)
b = Segment(Q, F)
d = LineBisector(Q, F)
P = Intersect(a, d)
A_0: 1 / 2 * (Corner[1] + Corner[3])
n = 0 (slider from 0 to 1, step 1)
u = Vector((x(Corner[1]), 0), (x(Corner[3]), 0))
v = Vector((0, y(Corner[1])), (0, y(Corner[3])))
A = (-13.849255123526586, 7.251391662928443)
e = Segment(P, F)
f = false
Q_2: 0.27 * Corner[2] + 0.73 * Corner[1]
Q_3: (x(Q_2), y(Corner[3]))
poly1, h, q_2, q_3, i = Polygon(Corner[1], Q_2, Q_3, Corner[4])
j = Segment(Q_2, Q_3)
R: P
k = false