Draw the points A, B, C and D in the coordinate system below and obtain the equation of the triangle of the outlined circle.
Calculate the area of quadrilateral ABCD
Rotate the triangle ABC by around the side AC to get the geometric shape G. Prove that the volume of the solid G is , where and .
Calculate the abscissa of the point T on the x-axis so that the sum of the squares of the distances from the point T to the point A and from the point T to the point C is minimal.