1
a) K(5/2;7/2) formule :demi somme des coordonnées de B et C
b) l = 2/3
c) AK = (9/2;13/2) Soit G(x;y) AG = (x+2;y+3)
AG = 2/3.AK => (x+2;y+3) = 2/3.(9/2;13/2) = (3;13/3) => x+2 = 3 => x = 1
=> y+3 = 13/3 => y = 4/3
donc G = (1;4/3)
2. GA(-3;-13/3) ; GB = (4;-4/3) ; GC = (-1;17/3)
GA + GB + GC = (-3+4-1;-13/3-4/3+17/3) = (0;0) coordonnée du vecteur nul
ollé!
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1
a) K(5/2;7/2) formule :demi somme des coordonnées de B et C
b) l = 2/3
c) AK = (9/2;13/2) Soit G(x;y) AG = (x+2;y+3)
AG = 2/3.AK => (x+2;y+3) = 2/3.(9/2;13/2) = (3;13/3) => x+2 = 3 => x = 1
=> y+3 = 13/3 => y = 4/3
donc G = (1;4/3)
2. GA(-3;-13/3) ; GB = (4;-4/3) ; GC = (-1;17/3)
GA + GB + GC = (-3+4-1;-13/3-4/3+17/3) = (0;0) coordonnée du vecteur nul
ollé!