Aspas

Se cumple que AB=AC=AC'=AD.
D gira alrededor de A a la vez que se desliza por el interior de un cilindro. B se desliza por el interior de otra barra perpendicular a la anterior.

Usa la aplicación y responde:

Da las características más importantes de los triángulos ACB y ACB' ¿Qué tienen en común, además del lado OA?.

Animación

SI

NO

SI

NO

Rastro

SI

NO

SI

NO

Mueve B

a = 1.9999999999999991 (slider from c to 5, step 0.1)
c = 1.9999999999999991 (slider from 1 to 3, step 1.0E-4)
α = 4.571017310973149 rad (slider from 0 to 6.283185307179586, step 0.1°)
C: (0, 1)
A: C + (0, a)
e = Circle(A, c)
f = Segment(C, A)
H = Intersect(e, f, 1)
B = Rotate(H, α, A)
B' = Mirror(B, A)
C' = Mirror(C, A)
g = Ray(C', B)
l_2 = OrthogonalLine(C', g)
b = 0.92 (slider from 0 to 5, step 0.01)
k = 0 (slider from 0 to 1, step 1)
d = 0 (slider from 0 to 1, step 0.1)
d1: (10 * d)
texto1e: "Velocidad animación: " + d1 + ""
k1 = 1 (slider from 0 to 1, step 1)
t = 0.768 (slider from 0 to 1, step 0.001)
nada = -3.7 (slider from -5 to 5, step 0.1)
B1 = Midpoint(A, C)
j = 0.2 (slider from 0 to 0.5, step 0.05)
m_1 = Segment(A, B)
bc = Distance(B, C)
i = 0.2 (slider from 0 to 0.5, step 0.05)
g_1 = Segment(B, C)
K: A - (0, 3)
i_1 = OrthogonalLine(K, f)
o = 1.3 (slider from 1 to 5, step 0.1)
u = 0.4 (slider from 0 to 1, step 0.1)
K1: K - (o, 0)
K2: K + (o, 0)
K3: A - (u, 0)
K4: A + (u, 0)
j_1 = Segment(K1, K2)
k_1 = Segment(K2, K4)
l_1 = Segment(K1, K3)
c_1 = Semicircle(K3, K4)
h = Circle(B, i)
l = OrthogonalLine(B, g)
v = 0.3 (slider from 0 to 1, step 0.1)
w = 4.5 (slider from 0 to 6, step 0.1)
e_1 = Circle(C', w)
d_1 = Circle(C', v)
D, E = Intersect(h, l)
polígono1, m, n, p, q, F, G = Polygon(D, E, 4)
polígono2, r, s, f_1, h_1, I, J = Polygon(E, D, 4)
p_1 = Circle(C', w)
n_1 = Line(G, I)
q_1 = Line(F, J)
L, M = Intersect(d_1, n_1)
N, O = Intersect(d_1, q_1)
P, Q = Intersect(p_1, q_1)
R, S = Intersect(p_1, n_1)
r_1 = Segment(P, R)
s_1 = Segment(R, L)
t_1 = Segment(N, P)
a_1 = Segment(M, S)
b_1 = Segment(S, Q)
f_2 = Segment(Q, O)
S' = Rotate(S, 90°, C')
Q' = Rotate(Q, 90°, C')
g_2 = Segment(S', Q')
Q'_1 = Rotate(Q, 90°, C')
O' = Rotate(O, 90°, C')
M' = Rotate(M, 90°, C')
S'_1 = Rotate(S, 90°, C')
N' = Rotate(N, 90°, C')
P' = Rotate(P, 90°, C')
j_2 = Segment(N', P')
R' = Rotate(R, 90°, C')
L' = Rotate(L, 90°, C')
k_2 = Segment(R', L')
T = Rotate(H, α + 90°, A)
h_2 = OrthogonalLine(S', g)
i_2 = OrthogonalLine(Q', g)
m_2 = OrthogonalLine(B', l_2)
U = Intersect(m_2, i_2)
V = Intersect(m_2, h_2)
polígono3, n_2, p_2, q_2, r_2, W, Z = Polygon(V, U, 4)
polígono4, s_2, t_2, a_2, b_2, A_1, B_1 = Polygon(U, V, 4)
c_2 = Segment(P', R')
d_2 = Segment(M', S')
e_2 = Segment(Q', O')
C_1 = Intersect(f, m_1)
f_3 = Segment(R, P)
g_3 = Segment(A, B')
texto1a: "AC = " + a + ""
texto1b: "BC = " + bc + ""
texto1c: "AB = " + c + ""