The corresponding points of rational number ABC on the number axis are a, B and C, and their positions are shown in the figure below b

The corresponding points of rational number ABC on the number axis are a, B and C, and their positions are shown in the figure below b


Is the picture like this
----b-----------c---0------a---------->
a+b



The positions of rational numbers a, B, C on the number axis are shown in the figure, and | a | = | B | (1) find the values of a + B and AB; (2) simplify | C-A | + | C-B | + | a + B |


(1) ∵|a | = |b |, ∵ A and B are opposite numbers, and a ≠ 0, B ≠ 0, (3 points) ∵ a + B = 0 (4 points), ab = - 1; (5 points) (2) as shown in the figure, C > A, C < B, a = - B, that is, C-A > 0, C-B < 0, a + B = 0, (8 points), then | C-A | + | C-B | + | a + B | = C-A + B-C + 0 = b-a. (10 points)



The negative number represented by the point on the number axis which is 2 units of length away from the origin is (), and its distance from the point representing - 6 is () units of length?


The negative number is - 2, and the last empty number is 4



Among the two points representing negative numbers on the number axis, the point with a larger distance from the origin is in the——————


Among the points representing two negative numbers on the number axis, the one with larger distance from the origin is on the left