Ania:

Basia:

Kasia:

\frac{1 }{ 3}

\frac{1 }{3 }

\frac{1 }{3 }

·

·

\frac\textcolor{196,0,52}{2}\textcolor{0,102,51}{3}

\textcolor{196,0,52}{2 }

\textcolor{0,102,51}{3 }

=

UŁAMEK JAKO ILORAZ

wynik

\frac{2 }{ 3}

\frac{2 }{ 3}

\frac{2 }{ 3}

$Iloraz \; dwóch \; liczb \; jest \; równy \; ułamkowi, \;$
$ którego \; licznikiem \; jest \; dzielna \;$
$ a \; mianownikiem \; dzielnik \; tego \; ilorazu.$

\textcolor{196,0,52}{licznikiem \; jest \; dzielna}

\textcolor{0,102,51}{mianownikiem \; jest \; dzielnik}

A_2 = (-3, 4)
B_3 = (-1, 4)
C = (1, 4)
D = (3, 4)
E = (-3, 1)
F = (-1, 1)
G = (1, 1)
H = (3, 1)
I = (5, 4)
J = (5, 1)
K = (7, 4)
L = (7, 1)
M = (9, 4)
N = (9, 1)
O = (11, 4)
P = (11, 1)
wielokąt1, a, b, f, e = Polygon(A_2, B_3, F, E)
wielokąt2, b_1, c, g, f_1 = Polygon(B_3, C, G, F)
wielokąt3, k, m, n_2, l = Polygon(K, M, N, L)
wielokąt4, c_1, d, h, g_1 = Polygon(C, D, H, G)
wielokąt5, m_1, o, p, n_1 = Polygon(M, O, P, N)
wielokąt6, i, k_1, l_1, j = Polygon(I, K, L, J)
Q = (-3, 0)
R = (14, 0)
u = Vector(Q, R)
A' = Translate(A_2, u)
B' = Translate(B_3, u)
F' = Translate(F, u)
E' = Translate(E, u)
wielokąt1', a', b', f', e' = Polygon(A', B', F', E')
S = (5, -1)
T = (16, -1)
v = Vector(S, T)
I' = Translate(I, v)
K' = Translate(K, v)
L' = Translate(L, v)
J' = Translate(J, v)
wielokąt6', i', k', l', j' = Polygon(I', K', L', J')
U = (-1, -2)
V = (20, -2)
w = Vector(U, V)
B'_1 = Translate(B_3, w)
C' = Translate(C, w)
G' = Translate(G, w)
F'_1 = Translate(F, w)
wielokąt2', b'_1, c', g', f'_1 = Polygon(B'_1, C', G', F'_1)
W = (7, -3)
Z = (22, -3)
z = Vector(W, Z)
K'_1 = Translate(K, z)
M' = Translate(M, z)
N' = Translate(N, z)
L'_1 = Translate(L, z)
wielokąt3', k'_1, m', n', l'_1 = Polygon(K'_1, M', N', L'_1)
A_1 = (1, -4)
B_1 = (26, -4)
q = Vector(A_1, B_1)
C'_1 = Translate(C, q)
D' = Translate(D, q)
H' = Translate(H, q)
G'_1 = Translate(G, q)
wielokąt4', c'_1, d', h', g'_1 = Polygon(C'_1, D', H', G'_1)
C_1 = (9, -5)
D_1 = (28, -5)
r = Vector(C_1, D_1)
M'_1 = Translate(M, r)
O' = Translate(O, r)
P' = Translate(P, r)
N'_1 = Translate(N, r)
wielokąt5', m'_1, o', p', n'_1 = Polygon(M'_1, O', P', N'_1)
krok = 0 (slider from 0 to 7, step 1)
s = Segment(A_2, D)
t = Segment(D, H)
a_1 = Segment(H, E)
d_1 = Segment(E, A_2)
i_1 = Segment(I, J)
r_1 = Segment(O, P)
s_1 = Segment(P, J)
t_1 = Segment(K, L)
e_2 = Segment(E', A')
f_2 = Segment(B', F')
h_2 = Segment(M', N')
j_2 = Segment(F'_1, B'_1)
k_2 = Segment(C', G')
m_2 = Segment(O', P')
q_2 = Segment(G'_1, C'_1)
r_2 = Segment(D', H')
e_1 = Segment(B_3, F)
h_1 = Segment(C, G)
t_2 = Segment(M, N)
o_1 = false
E_1 = Point(e_2)
F_1 = Point(f_2)
a_2 = Segment(E_1, F_1)
G_1 = Point(e_2)
H_1 = Point(f_2)
b_2 = Segment(G_1, H_1)
I_1 = Point(j_2)
J_1 = Point(k_2)
c_2 = Segment(I_1, J_1)
K_1 = Point(j_2)
L_1 = Point(k_2)
d_2 = Segment(K_1, L_1)
g_2 = Segment(F_1, K')
i_2 = Segment(K', L')
a_3 = Segment(L', H_1)
b_3 = Segment(J_1, M')
c_3 = Segment(M', N')
d_3 = Segment(N', L_1)
p_1 = Segment(G'_1, H')
p_2 = Segment(H', P')
e_3 = Segment(P', O')
l_2 = Segment(C'_1, D')
f_3 = Segment(D', O')
j_1 = Segment(I, O)
q_1 = Segment(D', O')

Tool: Zero1
Input: A, u, v
Output: a, b, c, d

B: A + u + v
C: A - u + v
D: A - u - v
E: A + u - v
c = Semicircle(C, B)
d = Semicircle(E, D)
a = Segment(C, D)
b = Segment(B, E)

Tool: Jedynka1
Input: B, u, v
Output: e, f

C: B + 2 * v
D: B - 2 * v
E: B - u + v
e = Segment(E, C)
f = Segment(C, D)