Hei! :)
- Fie k∈R si punctele [tex]A(x_{A}, y_{A} )[/tex] si [tex]B(x_{B} , y_{B} )[/tex].
- Fie punctul [tex]M(x_{M} , y_M} )[/tex] ∈AB cu proprietatea [tex]\frac{AM}{MB} =k[/tex]
=> [tex]x_{M} =\frac{1}{k+1} *x_{A} +\frac{k}{k+1} *x_{B}[/tex]
=> [tex]y_{M} =\frac{1}{k+1} *y_{A} +\frac{k}{k+1} *y_{B}[/tex]
unde [tex]x_{M} =\frac{x_{A} +x_{B} }{2}[/tex] si [tex]y_{M} =\frac{y_{A} +y_{B} }{2}[/tex]
