<image>【Problem】(1) On a number line, points A and B correspond to the rational numbers -2 and 3, respectively. The distance between points A and B is ___.

(2) Try selecting a few more points and make a conjecture: If points A and B correspond to the rational numbers a and b, respectively, the distance between points A and B is ___.
(3) If the real number corresponding to point A on the number line is a, and |a-2|=3, then the real number corresponding to point A is ___.
(4) If the real number corresponding to point A on the number line is a, and |a-2| + |a+1| = 5, then the real number corresponding to point A is ___.