Given that the distance between two points a (1,63), B (0,53) and line L is equal to a, and such line l can be made into four, then the value range of a is______ ．

Given that the distance between two points a (1,63), B (0,53) and line L is equal to a, and such line l can be made into four, then the value range of a is______ ．

∵ if two points a and B are on the same side of the line L, two lines can be made; if such a line l can be made into four lines, then when two points a and B are on both sides of the line L, there should be two more lines. ∵ 2a is less than a, the distance between B ∵ ab | = (1 − 0) 2 + (63 − 53) 2 = 2 ∵ 0 < 2A < 2, ∵ 0 < a < 1, so the answer is 0 < a < 1