9901第三次北市公立模考
Author: 藍邦偉  老師

拉動n=0看題目

x

y

z

顯示xy平面

顯示單位向量

A

B

C

D

正四面體(1)

正四面體(2)

正立方體

P

Q

Known

顯示座標軸

A: (x((Corner[3] + 39 * Corner[4]) / 40), y((Corner[1] + 9 * Corner[4]) / 10))
B: (x((4 * Corner[3] + 16 * Corner[4]) / 20), y((Corner[1] + 9 * Corner[4]) / 10))
a = Segment(A, B)
C: (3 * A + B) / 4
D: (3 * B + A) / 4
E = Point(a)
c = Circle(C, E)
c' = Translate(c, Vector[C, D])
A' = Rotate(A, 270*°, C)
B' = Rotate(B, 270*°, C)
a' = Segment(A', B')
c'' = Rotate(c', 270*°, C)
D' = Rotate(D, 270*°, C)
E' = Rotate(Translate[E, Vector[C, D]], 90*°, D)
E'' = Rotate(E', 270*°, C)
F = Point(c'')
G = Point(c')
α = Angle(E'', D', F)
b = Segment(D', F)
d = Segment(D, G)
β = Angle(G, D, E')
I: C + (b * cos(α), b * sin(α) * sin(β))
J: C + (b * cos(α + 90°), b * sin(α + 90°) * sin(β))
K: C + (0, b * cos(β))
e = Segment(C, K)
f = Segment(C, I)
g = Segment(C, J)
O = (1.716045335459885, -1.669656151106188)
I' = Translate(I, Vector[C, O])
J' = Translate(J, Vector[C, O])
K' = Translate(K, Vector[C, O])
L = 8 (slider from 1 to 10, step 1)
I'' = Dilate(I', L, O)
J'' = Dilate(J', L, O)
K'' = Dilate(K', L, O)
I''' = Dilate(I'', -1, O)
J''' = Dilate(J'', -1, O)
K''' = Dilate(K'', -1, O)
u' = Vector(I''', I'')
v' = Vector(J''', J'')
w' = Vector(K''', K'')
h = Segment(D', E'')
i = Segment(D, E')
軌跡1 = Locus(I, F)
L_{axis}: L
j = false
w = Vector(O, K')
u = Vector(O, I')
v = Vector(O, J')
k = false
list1 = Sequence(CurveCartesian[x(O + t * u + s * v), y(O + t * u + s * v), t, -L, L], s, -L, L, 1)
list2 = Sequence(CurveCartesian[x(O + t * u + s * v), y(O + t * u + s * v), s, -L, L], t, -L, L, 1)
A_1: O + 6 * u + 6 * v + 6 * w
A_2: O + 6 * u + 6 * v
A_3: O + 6 * u + 6 * w
A_4: O + 6 * v + 6 * w
A_6: O + 6 * u
A_7: O + 6 * v
A_8: O
A_5: O + 6 * w
m = Segment(A_3, A_1)
n_2 = Segment(A_1, A_4)
p = Segment(A_4, A_5)
q = Segment(A_5, A_3)
r = Segment(A_3, A_6)
s = Segment(A_6, A_2)
t = Segment(A_2, A_1)
a_1 = Segment(A_4, A_7)
b_1 = Segment(A_7, A_2)
c_1 = Segment(A_6, A_8)
d_1 = Segment(A_8, A_5)
e_1 = Segment(A_8, A_7)
f_1 = Segment(A_3, A_2)
g_1 = Segment(A_2, A_4)
h_1 = Segment(A_4, A_3)
i_1 = Segment(A_2, A_8)
j_1 = Segment(A_4, A_8)
k_1 = Segment(A_8, A_3)
o = false
l_1 = Segment(A_5, A_1)
m_1 = Segment(A_5, A_6)
n_1 = Segment(A_1, A_6)
p_1 = Segment(A_1, A_7)
q_1 = Segment(A_5, A_7)
r_1 = Segment(A_7, A_6)
z = false
o_1 = false
H = Midpoint(A_6, A_7)
s_1 = Line(A_6, A_7)
M = Midpoint(A_5, A_1)
t_1 = Segment(M, H)
a_2 = Line(A_5, A_1)
u_1 = false
n = 1 (slider from 0 to 1, step 1)
l = false
T_1 = Corner(1)
T_4 = Corner(4)
T_2: (7 * Corner[1] + 3 * Corner[2]) / 10
T_3: (7 * Corner[4] + 3 * Corner[3]) / 10
多邊形1, t_2, t_3, t_4, t_5 = Polygon(T_1, T_2, T_3, T_4)
b_2 = Segment(T_2, T_3)
poly1, c_2, d_2, e_2, f_2 = Polygon(Corner[1], Corner[2], Corner[3], Corner[4])