Current location - Training Enrollment Network - Mathematics courses - What is the shortest step to return to the starting point on the plane road in the park?
What is the shortest step to return to the starting point on the plane road in the park?
Take the shortest 14 step to the starting point in the park plane road.

If we only consider that the people in village A are closest to highway AB, as long as we draw a vertical line from village A to highway AB and intersect with highway AB at point C, then point C is the closest point from village A to highway AB, but it is far from village B. On the contrary, draw a vertical line from village B to highway AB and intersect with highway AB at point D, then point D is the closest point from village B to highway AB. But at this time, it is far from point d of AB road in village a. Because this topic requires us to take the construction site on highway AB, we can consider that people from villages A and B will not go the wrong way to this station (that is, the sum of distances is the shortest). According to our experience, it is the shortest to walk a straight line between the two places, so as long as there is a straight line between Village A and Village B, the intersection of this straight line and AB Highway is P, which is the requested bus stop (Figure 2). Connect village a and village b with a straight line. Because village A and village B are on both sides of the highway, this connecting line must intersect with highway AB. Let this intersection point be p, then establishing a bus stop at point P will make the sum of the travel distances from village A and village B to the bus stop shortest.