The equation of curve g can be obtained.
(2) Simultaneous elliptic equation and straight line equation, eliminating Y to get the equation of X,
The midpoint of AC and BD is obtained by Vieta theorem and midpoint coordinate formula.
If the quadrilateral ABCD is a diamond, and the midpoints coincide,
Diagonal lines AC and BD of rhombus are obtained, which intersect at point O,
Then the elliptic equation and the straight line equation are established simultaneously,
Solve the vertex coordinates and the length of OA and OB.
Based on the rhombic area formula, it is simplified and arranged.
Using the basic inequality, we can get the minimum value = 8/3.
The process is as follows: