découpe

18 cm

3 cm

10 cm

Afficher le volume de la boîte

V(x)

x

Rafraîchir l'écran : Ctrl+F

V(x)=x\times(21-2x)\times(29,7-2x)

Afficher l'expression de la fonction

Afficher la représentation graphique

A

A' = (-5, -5)
B' = (16, -5)
C' = (16, 24.7)
a = LineBisector(A', B')
b = 3.55 (slider from 0 to 10.5, step 0.05)
E: (-5 + b, -5)
E' = Mirror(E, a)
c = LineBisector(C', B')
E'_1 = Mirror(E, c)
E'' = Mirror(E', c)
poly1, d, e, f, g, A_1, G = Polygon(A', E, 4)
B_1 = Mirror(A_1, a)
G' = Mirror(G, a)
G'' = Mirror(G', c)
D = Mirror(A_1, c)
G'_1 = Mirror(G, c)
u = Vector(A', B')
B'_1 = Translate(B', u)
v = Vector(B', B'_1)
w = Vector(A', B'_1)
F'_2 = Translate(A_1, w)
z = Vector(A_1, F'_2)
F''_1 = Translate(B_1, z)
h = Vector(F'_2, F''_1)
k = Circle(F'_2, Segment[A_1, D])
H = Rotate(F''_1, 45°, F'_2)
α = Angle(F''_1, F'_2, H)
i = Ray(F'_2, H)
I = Intersect(k, i, 1)
j = Vector(F'_2, I)
J = Translate(F''_1, j)
poly7, f''_2, j_1, i_1, f'_4 = Polygon(F''_1, J, I, F'_2)
m = Vector(A', E)
K = Translate(F''_1, m)
l = Vector(F''_1, K)
J' = Translate(J, l)
n = Vector(J, J')
p = Vector(A_1, G)
L = Translate(F'_2, p)
q = Vector(F'_2, L)
I' = Translate(I, q)
pliage = 1.5707963267948966 rad (slider from 0 to 1.5707963267948966, step 0.017453292519943295)
L' = Rotate(L, (-pliage), F'_2)
I'' = Rotate(I', (-pliage), I)
poly8, f'_5, l', i'', i_2 = Polygon(F'_2, L', I'', I)
K' = Rotate(K, pliage, F''_1)
J'' = Rotate(J', pliage, J)
poly9, j'', j_2, f''_3, k' = Polygon(J'', J, F''_1, K')
K'' = Rotate(K, 225° - (3 / 2 * pliage), F''_1)
L'_1 = Rotate(L, 45° - (3 / 2 * pliage), F'_2)
poly10, f''_4, k'', l'_1, f'_6 = Polygon(F''_1, K'', L'_1, F'_2)
J''_1 = Rotate(J', 45° + pliage / 2, J)
I''' = Rotate(I', (-(135° - pliage / 2)), I)
poly11, j_3, j''_1, i''', i_3 = Polygon(J, J''_1, I''', I)
V = (-5, -12)
V' = Mirror(V, a)
distanceVV' = Distance(V, V')
X = (-10, -5)
X' = Mirror(X, c)
distanceX'X = Distance(X', X)
o = false
Z: (85 + (2.5 * b), (((21 - (2 * b)) * (29.7 - (2 * b))) * b / 25) - 20)
P_1 = (-5, -7)
P_2: (-5 + b, -7)
v_1 = Vector(P_1, P_2)
w_1 = Vector(P_2, P_1)
distanceP1P2 = Distance(P_1, P_2)
TexteP1P2: "découpe" + " \, = \, " + b + "\,cm"
liste1 = Sequence(Segment[(85 + (2.5 * i), -20), (85 + (2.5 * i), 28)], i, 0, 11)
liste2 = Sequence(Segment[(85, -20 + (4 * i)), (112.5, -20 + (4 * i))], i, 0, 12)
liste3 = Sequence(Text[i, (84.5 + (2.5 * i), -22)], i, 0, 11)
liste4 = Sequence(Text[(100 * i), (81, -20.4 + (4 * i))], i, 1, 12)
g_1 = false
poly12, h_1, k_1, l_1, m_1 = Polygon((85, -20), (112.5, -20), (112.5, 28), (85, 28))
e_1 = false
texte1: "V=(A'B'-2xAE)x(A'D'-2xAE)xAE=" + ((((21 - (2 * b)) * (29.7 - (2 * b))) * b)) + "cm³"
A = Intersect(l', i'')
B = Intersect(f''_2, f'_4)
C = (54.082736570247924, 16.34334194214875)
F = (58.391467975206595, 19.626184917355367)