Find a point O in the quadrilateral ABCD to minimize the sum of the distances between it and the four vertices of the quadrilateral, and please give your reasons It's best to draw a picture to illustrate!

The lower diagonal intersection is the point o
Let's set another P
Then Pb + PD > BD, PA + PC > AC
therefore
PA+PC+PB+PD>OA+OB+OC+OD
So the intersection o of the diagonal is the point

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