If M is the midpoint of AC and N is the midpoint of BC, then the length of segment Mn is () A. 7cmb. 3cmc. 7cm or 3cmd. 5cm

If M is the midpoint of AC and N is the midpoint of BC, then the length of segment Mn is () A. 7cmb. 3cmc. 7cm or 3cmd. 5cm


(1) When point C is on line AB, then Mn = 12ac + 12bc = 12ab = 5; (2) when point C is on the extension line of line AB, then Mn = 12ac-12bc = 7-2 = 5



Given the line AB = 10cm, there is a point C on the line AB, if BC = 4cm, M is the midpoint of the line AC, find the length of MB


∵ AB = 10cm, there is a point C on the line AB, if BC = 4cm
∴AC=6cm,
∵ m is the midpoint of the line AC,
∴MC=3cm,
∴MB=MC+CB=7cm.



Given the line AB = 16 cm, C is a point on the line AB, and AC = 10 cm, D is the midpoint of AC, e is the midpoint of BC, find the length of the line De


∵ D is the midpoint of AC, and E is the midpoint of BC ∵ DC = 12ac, CE = 12bc ∵ de = DC + CE, AC + BC = ab ∵ de = DC + CE = 12ac + 12bc = 12 (AC + BC) = 12ab = 12 × 16 = 8 (CM)