The position of rational number a b c on the number axis is shown in the figure: ——B——a——-1——0——c—1 (1) Compare the sizes of |a|, b, c (use < connection) (2) If m=|a+b|-|b-1|-|a-c|, find the value of the power of 2013 of 1-2012*(m+c) (3) If 2=-2, b=-3, c=3/2, and the corresponding points of a, b, c are A, B, C respectively, ask whether there is a point P on the number axis, so that the distance between P and A is 1/3, if so, request the rational number corresponding to point P, if not, explain the reason. The process must be complete and urgent (3) A=-2, b=-3, c=3/2, and the corresponding points of a, c are A, B, respectively. If it exists, request the rational number corresponding to point P. If it does not exist, explain the reason. The process must be complete.
(1) B (2) m=-a-b-(1-b)+a-c=-1-c, i.e. m+c=-1, so the original formula=1-2012*(-1)=2013
(3) Should be a=-2? The phrase "make P 1/3 of the distance from A "! Please check the original question.
The position of rational numbers a, b, c on the number axis is shown in the figure. ___ C______b__o_____a
C <0
|C|=-c
C <0, b <0
So c+b <0
|C+b|=-c-b
C so c-a <0
|C-a|=a-c
B <0,a>0
A is farther from 0 than b is from 0
So |a|>|b|
So a >-b
B+a >0
| N+a|=b+a
Therefore, the original formula =-c-(-c-b)+(a-c)-(b+a)
=-C+c+b+a-c-b-a
=-C