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corrigés

corrigés

corrigés

Pour un point de l'espace :

On lit son abscisse sur l'axe x

On lit son ordonnée sur l'axe y

On lit sa hauteur (ou côte) sur l'axe z

A_3 = (0, 1)
B_3 = (1, 1)
poly1, f, g, h, i, C_3, D_2 = Polygon(A_3, B_3, 4)
a_1, E_4, F, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH, arêteAE, arêteBF, arêteCG, arêteDH, arêteEF, arêteFG, arêteGH, arêteEH = Prism(poly1, 1)
I = Intersect(xAxis, zAxis)
J = Point(xAxis)
u = Vector(I, J)
v = Vector(I, A_3)
a' = Translate(a_1, v)
a'' = Translate(a', v)
K = Point(yAxis)
L = Point(yAxis)
w = Vector(K, L)
a'_1 = Translate(a_1, w)
a'_2 = Translate(a_1, u)
a''_1 = Translate(a', u)
a''' = Translate(a'', u)
a_2 = Translate(a'_1, u)
a_3 = Translate(a_2, u)
a_5 = Translate(a'_2, u)
a_7 = Translate(a''_1, u)
a_9 = Translate(a''', u)
a_4 = Translate(a_3, u)
a_6 = Translate(a_5, u)
a_8 = Translate(a_7, u)
a_10 = Translate(a_9, u)
M_2 = Point(zAxis)
a = Vector(I, M_2)
a'''_1 = Translate(a'', a)
a''_2 = Translate(a', a)
faceEFGH' = Translate(faceEFGH, a)
b = Translate(a_1, a)
c = Translate(a'_1, a)
d = Translate(a'_2, a)
e = Translate(a_2, a)
j = Translate(a''_1, a)
k = Translate(a''', a)
l = Translate(a_6, a)
m = Translate(a_7, a)
n = Translate(a_8, a)
o = Translate(a_4, a)
p = Translate(a_9, a)
q = Translate(a_10, a)
r = Translate(a_3, a)
s = Translate(a'''_1, a)
t = Translate(a''_2, a)
b' = Translate(b, a)
c' = Translate(c, a)
b_1 = Translate(a_5, a)
k' = Translate(k, a)
j' = Translate(j, a)
d' = Translate(d, a)
e' = Translate(e, a)
p' = Translate(p, a)
m' = Translate(m, a)
c_1 = Translate(b_1, a)
r' = Translate(r, a)
q' = Translate(q, a)
n' = Translate(n, a)
l' = Translate(l, a)
N: (3, 1, 1)
o' = Translate(o, a)
O = Point(a_10)
P: (0, 4, 0)
Q = Point(a'_1)
R = (4, 0)
q1, q_1, r_1, o_1, p_1 = Polygon(Q, R, O, P)
d_1, S, T, U, V, faceQRTS, faceORTU, faceOPVU, facePQSV, faceSTUV, arêteQS, arêteRT, arêteOU, arêtePV, arêteST, arêteTU, arêteUV, arêteSV = Prism(q1, (-(-3)))
e_1 = 1 (slider from 0 to 1)
f_1, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1, K_1, L_1, face1, face2, face4, face5, face3, face6, arêteWZ, arête4, arête7, arête1, arête2, arête12, arête5, arête6, arête15, arête8, arête9, arête16, arête10, arête11, arête17, arête3, arête14, arête18, arête13 = Net(d_1, e_1)
g_1 = Translate(a_4, a)
h_1 = Translate(a_4, u)
o'_1 = Translate(o, u)
o'_2 = Translate(o, u)
o'' = Translate(o', u)
i_1 = Translate(a_6, u)
l'_1 = Translate(l, u)
l'' = Translate(l', u)
n'' = Translate(n', u)
n'_1 = Translate(n, u)
j_1 = Translate(a_8, u)
q'' = Translate(q', u)
k_1 = Translate(a_10, u)
q'_1 = Translate(q, u)
M = (4, 0, 1.9999999999999964)
A = (3, -4, 1)
B = (3, 5, 1)
C = (-2, -4, 2.9999999999999964)
Z1: (3, 1, 3)
D = (3, 3, 0)
M_1 = Point(yAxis)
N_1 = Point(xAxis)
O_1 = (5, 2, 0)
P_1 = Point(xAxis)
Q_1 = Point(yAxis)
R_1 = (1, 3, 0)
S_1 = Point(xAxis)
T_1 = Point(yAxis)
U_1 = Point(zAxis)
V_1 = Point(zAxis)
W_1 = Point(zAxis)
Z_1 = Point(yAxis)
A_2 = Point(xAxis)
B_2 = (3, 4, 0)
C_2 = Point(yAxis)
E_2 = (2, -3, 0)
F_2 = Point(yAxis)
G_2 = Point(xAxis)
H_2 = Point(xAxis)
I_2 = (-2, -3, 0)
J_2 = Point(xAxis)
E = (7, 3, -1)
K_2 = (6, 3, 0)
L_2 = (6, 0, 0)
l_1 = false
texte10: "A" + A + ""
texte11: "B" + B + ""
texte12: "C" + C + ""
texte13: "D" + D + ""
texte14: "E" + E + ""
texte15: "M" + M + ""
N_2 = Intersect(yAxis, zAxis)
O_2 = Point(yAxis)
P_2 = Point(xAxis)
p_2 = Plane(N_2, O_2, P_2)
m_1 = Line(C, zAxis)
n_1 = Line(B, zAxis)
s_1 = Line(M, zAxis)
t_1 = Line(A, zAxis)
f_2 = Line(D, zAxis)
g_2 = Line(E, zAxis)
Q_2 = Intersect(m_1, p_2)
R_2 = Intersect(t_1, p_2)
S_2 = Intersect(s_1, p_2)
T_2 = Intersect(f_2, p_2)
U_2 = Intersect(n_1, p_2)
V_2 = Intersect(g_2, p_2)
h_2 = Line(Q_2, yAxis)
i_2 = Line(R_2, yAxis)
j_2 = Line(U_2, yAxis)
k_2 = Line(V_2, yAxis)
l_2 = Line(T_2, yAxis)
m_2 = Line(S_2, yAxis)
n_2 = Line(Q_2, xAxis)
q_2 = Line(R_2, xAxis)
r_2 = Line(S_2, xAxis)
s_2 = Line(V_2, r_2)
t_2 = Line(U_2, r_2)
b_2 = Line(T_2, r_2)
W_2 = Intersect(r_2, yAxis)
Z_2 = Intersect(m_2, xAxis)
c_2 = Segment(Z_2, S_2)
d_2 = Segment(S_2, M)
e_2 = Segment(S_2, W_2)
D_3 = Intersect(b_2, yAxis)
E_3 = Intersect(l_2, xAxis)
f_3 = Segment(D_3, T_2)
g_3 = Segment(T_2, E_3)
h_3 = Segment(D, T_2)
F_3 = Intersect(k_2, xAxis)
G_3 = Intersect(s_2, yAxis)
i_3 = Segment(V_2, F_3)
j_3 = Segment(V_2, E)
k_3 = Segment(V_2, G_3)
H_3 = Intersect(t_2, yAxis)
I_3 = Intersect(j_2, xAxis)
l_3 = Segment(U_2, I_3)
m_3 = Segment(U_2, H_3)
n_3 = Segment(B, U_2)
J_3 = Intersect(q_2, yAxis)
K_3 = Intersect(i_2, xAxis)
p_3 = Segment(A, R_2)
q_3 = Segment(R_2, J_3)
r_3 = Segment(R_2, K_3)
L_3 = Intersect(n_2, yAxis)
M_3 = Intersect(h_2, xAxis)
s_3 = Segment(Q_2, L_3)
t_3 = Segment(M_3, Q_2)
b_3 = Segment(Q_2, C)