If there are two points m and N on the line AB, point m divides AB into two parts of 1:2, point n divides AB into two parts of 2:1, and Mn = 4cm, then am=______ cm,BN=______ cm.

If there are two points m and N on the line AB, point m divides AB into two parts of 1:2, point n divides AB into two parts of 2:1, and Mn = 4cm, then am=______ cm,BN=______ cm.

As shown in the figure, ∵ point m divides AB into two parts of 1:2, and point n divides AB into two parts of 2:1, ∵ points m and N are the three equal points of line AB, ∵ am = Mn = BN, ∵ Mn = 4cm, ∵ am = 4cm, BN = 4cm