Thalès\ ( écrire\ les\ quotients) : je\ m'entraine\ !

Figure \ n°1

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Pour\ chaque\ figures,\ on\ sait\ que\ 
les\ deux\ droites\ (d)\ et (d')\ sont\ 
parallèles.\ Compléter\ l'égalité..

A

B

C

M

N

\frac {AM}{AB}=\frac {AN}{AC}=\frac {MN}{BC}

\frac {AB}{AM}=\frac {AC}{AN}=\frac {BC}{MN}

\frac {AM}{AB}=\frac {...}{...}=\frac {...}{...}

\frac {AB}{AM}=\frac {...}{...}=\frac {...}{...}

réponse

réponse

Figure\ n°2

K

R

P

B

M

\frac {...}{...}=\frac {MP}{MR}=\frac {...}{...}

\frac {...}{...}=\frac {...}{...}=\frac {KR}{BP}

\frac {MB}{MK}=\frac {MP}{MR}=\frac {BP}{KR}

réponse

\frac {MK}{MB}=\frac {MR}{MP}=\frac {KR}{BP}

réponse

(d)

(d)

(d')

(d')

A = (7.242140621508524, 5.181153189070869)
B = (6.006204859958364, 3.213745242113468)
C = (9.91579757506601, 2.3561571626704976)
a = Line(A, B)
c = Line(A, C)
D = Point(a)
E = Point(c)
F = Point(c)
G = Point(a)
d = Segment(F, E)
f = Segment(G, D)
g = Line(B, C)
H = Point(f)
h = Line(H, g)
I = Intersect(h, d)
J = Point(h)
K = Point(g)
L = Point(h)
M = Point(g)
i = Segment(J, L)
j = Segment(K, M)
k = false
l = false
texte6 = LaTeX(F, true, true)
N = (15.061326051723814, 2.93629027523486)
O = (20.433863137645933, 5.256822725492308)
b = Segment(N, O)
P = (15.54056644905959, 3.844324712292122)
Q = (19.500605521781527, 2.6336121295491055)
e = Segment(P, Q)
R = Intersect(b, e)
S = Point(b)
T = Point(b)
U = Point(e)
m = Line(T, U)
n = Line(S, m)
V = Point(m)
W = Point(n)
Z = Point(m)
A_1 = Point(n)
p = Segment(V, Z)
q = Segment(W, A_1)
B_1 = Intersect(e, q)
o = false
r = false
C_1 = Point(i)