向量終點的軌跡(1)
Author: 藍邦偉  老師

向量終點的軌跡(1)

r=0,s \in{  }R 

r\in{}R,s=0

0≤r≤1,s\in{}R

r\in{}R,0≤s≤1

0≤r≤1,0≤s≤1

r+s=1

r≥0,s≥0,r+s=1

r≥0,s≥0,0≤r+s≤1

 \vec{ OP }=r \vec{ OA }+s \vec{ OB }   

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1

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O = (-1.1145454545454547, -1.043636363636363)
A = (3.0254545454545445, -0.3636363636363631)
u = Vector(O, A)
B = (1.9054545454545448, 3.1363636363636362)
v = Vector(O, B)
T_1 = Corner(1.0)
T_4 = Corner(4.0)
T_2: (7.0 * Corner[1.0] + 3.0 * Corner[2.0]) / 10.0
T_3: (7.0 * Corner[4.0] + 3.0 * Corner[3.0]) / 10.0
多邊形1, t_1, t_2, t_3, t_4 = Polygon(T_1, T_2, T_3, T_4)
a = Segment(T_2, T_3)
b = Line(O, B)
c = false
d = Line(O, A)
e = false
f = Line(A, v)
L_D: y = y(Corner[1.0])
L_U: y = y(Corner[3.0])
H_1 = Intersect(b, L_D)
H_2 = Intersect(f, L_D)
H_3 = Intersect(f, L_U)
H_4 = Intersect(b, L_U)
多邊形2, h_1, h_2, h_3, h_4 = Polygon(H_1, H_2, H_3, H_4)
g = false
h = false
i = Line(B, d)
L_R: x = x(Corner[2.0])
L_L: x = x((7.0 * Corner[1.0] + 3.0 * Corner[2.0]) / 10.0)
G_1 = Intersect(i, L_L)
G_2 = Intersect(d, L_L)
G_3 = Intersect(d, L_R)
G_4 = Intersect(i, L_R)
多邊形3, g_1, g_2, g_3, g_4 = Polygon(G_1, G_2, G_3, G_4)
D: A + B - O
多邊形4, o, a_1, d_1, b_1 = Polygon(O, A, D, B)
j = false
k = Line(A, B)
l = false
m = Segment(A, B)
n = false
多邊形5, b_2, o_1, a_2 = Polygon(O, A, B)
p = false