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Seek the detailed answer to the last question of the 08 Jiangsu Lianyungang Mathematics Senior High School Entrance Examination! A little simpler is fine.
25. solution: (1) as shown in figure:? 4 points

(Note: 1 Drawing is correct, score 2 points; If there is no trace or the trace is incorrect, you will not score. )

(2) If a triangle is an acute triangle, its minimum covering circle is its circumscribed circle; ? 6 points

If a triangle is a right triangle or an obtuse triangle, its minimum covering circle is a circle with the longest side of the triangle (the opposite side of the right angle or obtuse angle) as its diameter. 8 points

(3) Where should this transfer station be built? At the center of the circumscribed circle (line segment? Perpendicular bisector and line segments? The intersection of perpendicular bisector). 10 point

The reason for this is the following:

By who? ,

,? ,

So what? Is an acute triangle,

So what is the minimum covering circle? Circumscribed circle,

Let this circumscribed circle become. , straight line? With what? What time? ,

then what .

So what? Are you online? So, inside? It's also a quadrilateral? Minimum covering circle.

So the transit station was built? The center of the circumscribed circle can meet the requirements in the problem.