橢圓的軌跡(1)
Author: 藍邦偉　老師

橢圓的軌跡(1)

試求通過A(-1,0)且與圓C:(x-1)²+y²=16相切的圓心軌跡.

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1

顯示P點軌跡

2

$顯示橢圓  $

A = Point(xAxis)
B = Point(xAxis)
F = Point(xAxis)
α = 0 rad (slider from 0 to 6.28318530717959, step 0.01*°)
Q: (1 + 4 * cos(α), 4 * sin(α))
a = Segment(Q, F)
P = Intersect(d, a, 1)
e = Circle(P, Segment[P, A])
u = Vector((x(Corner[1]), 0), (x(Corner[3]), 0))
v = Vector((0, y(Corner[1])), (0, y(Corner[3])))
n = 2 (slider from 1 to 2, step 1)
b = Segment(P, A)
f = Segment(P, Q)
g = true
h = false
R: P
Q_2: 0.25 * Corner[2] + 0.75 * Corner[1]
Q_3: (x(Q_2), y(Corner[3]))
poly1, i, q_2, q_3, j = Polygon(Corner[1], Q_2, Q_3, Corner[4])