Given the point a (- 1, - 4), try to take a point B and C on the Y-axis and the line y = x to minimize the perimeter of the triangle ABC, and find the coordinates of B and C

Given the point a (- 1, - 4), try to take a point B and C on the Y-axis and the line y = x to minimize the perimeter of the triangle ABC, and find the coordinates of B and C

The symmetry point of a (- 1, - 4) about y axis is A1 (1, - 4)
The symmetric point of y = x is A2 (- 4, - 1)
The line passing through A1A2 is 3x + 5Y + 17 = 0 and Y axis. The intersection of y = x is
B (0, - 17 / 3), C (- 17 / 8, - 17 / 8) are obtained
At this time, the perimeter of △ ABC is | A1A2|