向量終點的軌跡(1)
Author: 藍邦偉  老師

向量終點的軌跡(2)

r \in{  }R,s=1 

r=1,s\in{}R

0≤r≤1,0≤s≤1

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 }   

,

.

..

,.

1

./

/,

B = (-0.17454545454545492, 2.0763636363636366)
A = (4.685454545454545, -0.683636363636363)
O = (-1.1145454545454547, -1.043636363636363)
u = Vector(O, A)
B' = Translate(B, u)
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)
c = false
e = false
L_D: y = y(Corner[1.0])
L_U: y = y(Corner[3.0])
g = false
h = false
L_R: x = x(Corner[2.0])
L_L: x = x((7.0 * Corner[1.0] + 3.0 * Corner[2.0]) / 10.0)
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
n_1 = false
多邊形5, b_2, o_1, a_2 = Polygon(O, A, B)
p = false
n = 0.1 (slider from 0.1 to 0.3, step 0.01)
L_1 = Sequence(A + n * i * v, i, -100.0, 100.0)
m = 1 (slider from 1 to 100, step 1)
L_3 = Sequence(Sequence[O + 0.1 * i * u + 0.1 * j * v, i, 1.0, m], j, 1.0, m)