Question

Se considera in sistemul de axe de coordonate cartezian xOy, punctele A(1,-1), B(2,3), C(a,b). Determinati numerele reale a, b in cazul in care B este mijlocul segmentului (AC).

Answer 1

(xA+xC)/2=xB
si
(yA+yC)/2=yB
atunci



(1+a)/2=2...a+1=4....a=3
si
(-1+b)/2=3....b-1=6....b=7
a=3 ; b=7 ...as simple as that!