As shown in the figure, C is a point on the extension line of line AB, ab = 8cm, BC = 4cm, M is the midpoint of BC, n is the midpoint of AC, and the length of Mn is calculated A N B M C __________________

AB + BC = 12 ∵ n is the midpoint of AC ∵ an = NC = 6 ∵ BC = 4, so NB = nc-bc = 2 ∵ m is the midpoint of BC
∴BM=MC=2 ∴NM=NB+BM=4

As shown in the figure, extend the line AB to C so that BC = 2Ab, m and N are the midpoint of AB and BC respectively, and Mn = 9cm, and calculate the length of AB, an and AC respectively
emergency

Let BM = X
Because m is the midpoint of ab
So AB = 2bm = 2x
Because BC = 2Ab
So BC = 4x
And N is the midpoint of BC
So BN = 2 / 1BC = 2x
MN=2x+x=9
x=3
So AB = 2x = 6
AN=2x+2x=12
AC=2x+4x=18

It is known that as shown in the figure C is a point on the line AB, m n is the midpoint of the line AC and BC (1) to prove Mn = 2 / 1ab (2) if point C is on the extension line of the line AB,
Is the conclusion in (1) still valid? Please prove your conclusion

Because m n is the midpoint of AC and BC, so cm = 1 / 2Ac, CN = 1 / 2BC and AC + BC = AB, so Mn = cm + CN = 1 / 2Ac + 1 / 2BC = 1 / 2 (AC + BC) = 1 / 2Ab (2) still holds, because m n is the midpoint of AC and BC, so cm = 1 / 2Ac, CN = 1 / 2BC and ac-bc = AB, so Mn = C

Point C is on the line AB, ab = 14cm, and points m and N are the midpoint of AC and BC respectively. ① find the length of line Mn; ② if point C is any point of the line, satisfy the following requirements
② Can you guess the length of Mn if point C is any point of the line segment, AC + CB = ACM and other conditions remain unchanged? Explain the reason. ③ if point C is on the extension line of line segment AB, ac-cb = BCM and m and N are the midpoint of AC and BC respectively, can you guess the length of Mn? Write your conclusion and explain the reason

Point C is on the line AB, ab = 14cm, m and N are the midpoint of AC and BC respectively, Mn = MC + CN = AC / 2 + CB / 2 = BC / 2 = 7cm. If AC + CB = ACM, other conditions remain unchanged, the length of Mn is half of ab, a / 2cm

Given that the line segment AB = 14cm, C is any point on the line segment AB, m and N are divided into the midpoint of AC and BC, then Mn=
As long as it turns out

In △ ABC, ab = 10, ad is the angular bisector of ∠ BAC, making cm ⊥ ad at m, and N is the midpoint of BC, connecting Mn, the length of Mn is 2, then the length of AC is

Through point E, make a vertical line to the extension line of AB and AC, and the vertical feet are D and G triangle respectively. CEB is an isosceles right triangle, EC = EB ∫ ABC = 90 °～ ACB ∫ EBA = ∠ abc-45 ° = 90 °～ acb-45 ° = 45 ∫ ACB ∫ ECA = 45 °～ ACB, so EBA = ∠ ECA, EC = EB, so eg = ad, CG = dB, so adeg is square

Take three points a, B and C successively on line L such that ab = 5cm and BC = 3cm. If O is the midpoint of line AC, then the length of line ob is ()
A. 0.5cmB. 1cmC. 1.5cmD. 2cm

According to the above figure, OB = 5cm-oa, ∵ OA = (AB + BC) △ 2 = 4cm, ∵ ob = 1cm

Take three points a, B and C successively on the line L such that ab = 5cm and BC = 3cm. If O is the midpoint of the line AC, then the length of the line ob is ()
A. 1cmB. 1.5cmC. 2cmD. 4cm

According to the above figure, OB = 5cm-oa, ∵ OA = (AB + BC) △ 2 = 4cm, ∵ ob = 1cm

Take three points a, B and C successively on line L, such that ab = 4cm and BC = 3cm. If O is the midpoint of line AC, then the length of line ob is______ cm．

As shown in the figure: the length of line AC is 7, and point O is the midpoint of line AC, then OC = 3.5, because BC = 3, OB = oc-bc = 0.5

Cut three points a, B and C successively on the line L, so that ab = 4cm and BC = 5cm. If O is the midpoint of the line AC, find the location of the line ob

O is the midpoint of AC
So Ao = AC / 2 = (AB + BC) / 2 = (4 + 5) / 2 = 9 / 2cm
So ob = ao-ab = 9 / 2-4 = 1 / 2 cm

As shown in the figure, C is a point on the extension line of line AB, ab = 8cm, BC = 4cm, M is the midpoint of BC, n is the midpoint of AC, and the length of Mn is calculated A N B M C __________________