數與數線(6)
Author: 藍邦偉　老師

A(a)

B(b)

L

C

D

E

F

G

H

C'

D'

E'

F'

G'

由題意知\overline{AC'}＝\overline{C'D'}＝\overline{D'E'}＝\overline{E'F'}＝\overline{F'G'}=\overline{G'B}

⇒C'=\frac{5a+b}{6},D'=\frac{4a+2b}{6}=\frac{2a+b}{3},E'=\frac{3a+3b}{6}=\frac{a+b}{2}

⇒F'=\frac{2a+4b}{6}=\frac{a+2b}{3},G'=\frac{a+5b}{6}

A = (-7.851076858536581, 0.48985268292683104)
Q: A + (-1.4, 0.8)
C = Mirror(Q, A)
D = Mirror(A, C)
E = Mirror(C, D)
F = Mirror(D, E)
G = Mirror(E, F)
H = Mirror(F, G)
G' = Mirror(G, H)
B: A + (13, 0)
u = Vector(A - (2, 0), B + (2, 0))
A_1: 5 / 6 * A + 1 / 6 * B
A_2: 4 / 6 * A + 2 / 6 * B
A_3: 3 / 6 * A + 3 / 6 * B
A_4: 2 / 6 * A + 4 / 6 * B
a = Segment(Q, G')
A_5: 1 / 6 * A + 5 / 6 * B
b = Segment(C, A_1)
c = Segment(A_2, D)
d = Segment(A_3, E)
e = Segment(A_4, F)
f = Segment(A_5, G)
g = Segment(B, H)
n = 0 (slider from 0 to 4, step 1)