Given that the number corresponding to point a on the number axis is a, the number corresponding to point B is B, and | a + 4 | + | B-1 | = 0, the distance between a and B is recorded as | ab |, and | ab | = | A-B | 1. Let the number corresponding to point P on the number axis be X. when | PA | - | Pb | = 2, find the value of X; 2. If the point P is on the left side of a, and m and N are the midpoint of PA and Pb respectively, when P moves on the left side of a, the following two conclusions will be drawn: 1. The value of | PM | + | PN | remains unchanged; 2. The value of | PN | - | PM | remains unchanged, and only one of them is correct. Please judge the correct conclusion and find its value | Math enthusiast | Mathematical art

Given that the number corresponding to point a on the number axis is a, the number corresponding to point B is B, and | a + 4 | + | B-1 | = 0, the distance between a and B is recorded as | ab |, and | ab | = | A-B | 1. Let the number corresponding to point P on the number axis be X. when | PA | - | Pb | = 2, find the value of X; 2. If the point P is on the left side of a, and m and N are the midpoint of PA and Pb respectively, when P moves on the left side of a, the following two conclusions will be drawn: 1. The value of | PM | + | PN | remains unchanged; 2. The value of | PN | - | PM | remains unchanged, and only one of them is correct. Please judge the correct conclusion and find its value

|a+4|+|b-1|=0
a+4=0,b-1=0
a=-4,b=1
1, pa-pb = 2, that is, | x + 4 | - | X-1 | = 2, that is, x = - 0.5
2. The value of pn-pm remains unchanged, which is correct
Pn-pm = 1 / 2 [pb-pa] = 1 / 2 * AB = 5 / 2 is the fixed value

RELATED INFORMATIONS

1. Given that the corresponding number of point a on the number axis is a, and / A + 4 / + / B-1 / = 0, the distance between a and B is recorded as / AB /, and / AB / = / A-B / 1, find the length of line AB / AB /; 2. Let the number corresponding to point P on the number axis be X. when / PA / - / Pb / = 2, find the value of X
2. For example, 5.2-x = 1.721/x = 8.478-x = 32
3. Decomposition factor, 25X square, quartic power + 10x square + 1
4. Given X & sup2; - 4Y & sup2; = - 15, x + 2Y = 3, find the value of X and y
5. -How to solve the problem of 4 and 7 / 8 - (+ 4 and 1 / 2) - (- 5 and 1 / 2) + (- 3 and 1 / 8) -4 and 7 / 8 - (+ 4 and 1 / 2) - (- 5 and 1 / 2) + (- 3 and 1 / 8) calculation process! As simple as possible! It's better to answer before today or tomorrow
6. The solution of the system of linear equations with one variable, removing bracket, shifting term, removing denominator and changing sign
7. How to prove that the sum of the products of the elements of any column (row) of n-order determinant d = / AIJ / and the corresponding elements of another column (row) is equal to zero
8. Factorization 2009 + 2009 ^ 2-2010 ^ 2
9. Solve a few questions 1. If there is a point on the line y = - 3 / 1 x-4, the distance from P to X axis is 2, then the coordinate of point P is______ 2. If the fractional equation x-3 / X-1 = x-3 / MX has no solution, then the value of M is______
10. If f (x) satisfies f (x) + 2F (1 / x) = 5x + 4 / x, then f (x)=
11. Given that the number corresponding to point a on the number axis is a, the number corresponding to point B is B, and | a + 4 | + (B-1) 2 (this is the second power) = 0, the distance between a and B is recorded as | ab |, (2) Let the number corresponding to point P on the number axis be X. when PA Pb = 2, find the value of X (3) If the point P is on the left side of a, m and N are the midpoint of PA and Pb respectively, when P moves on the left side of a, the following two conclusions (1) the value of PM + PN remains unchanged; (2) the value of PN - PM remains unchanged. (1) (2) there is only one correct conclusion, judge and find its value
12. The positions of rational numbers a, B and C on the number axis are shown in the figure. If M = | a + B | - | B-1 | - | a-c | - | 1-C |, then the value of - 1001 is? b a c ─┴────┴──┴───┴─┴─＞ 0 1 ）There will be a reward for wealth before 10 o'clock this evening! It will be invalid if it is too late!]
13. The positions of rational numbers a, B and C on the number axis are shown in the figure. If M = | a + B | - | B-1 | - | a-c | - | 1-C |, the value of 100m is______ ．
14. The positions of rational numbers a, B and C on the number axis are shown in the figure. If M = | a + B | - | B-1 | - | a-c | - | 1-C |, the value of 100m is______ ．
15. The positions of rational numbers a, B and C on the number axis are shown in the figure. If M = | a + B | - | B-1 | - | a-c | - | 1-C |, what is the value of 100m? ----|------|----|-----|-----|----- b a 0 c 1 The first point represents B and the second point represents a
16. If the distance between the point of X on the number axis and the origin is less than 5, then the inequality x satisfies is
17. If the number represented by point a on the number axis is a real number a (on the left), then the distance from a to the origin is I think it's a, because according to the number axis, the absolute value of the distance between two numbers, the absolute value of the distance from 0 to - A is a, but the answer is - A, why, if there is a positive a, then the distance between positive a and negative a is a, where is - a? We can only say that the point is - A, but the distance is still a
18. If the point corresponding to the real number a on the number axis is on the left side of the origin, and the distance from the point to the origin is 5 unit lengths, then a=______ ．
19. If the system of inequalities 2x + 3 ≥ 1 MX
20. The solution set of inequality system 3 / 2x + 1 ＞ X-1 / 2,3-x ≥ 2 is expressed as?