It is known that the eccentricity of ellipse C: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) is root 2 / 2, and the inequality | x | / A + | y | / b=

It is known that the eccentricity of ellipse C: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) is root 2 / 2, and the inequality | x | / A + | y | / b=

1, drawing from the second inequality, we can get 2Ab = 1; (x = 0, y = 0 respectively, the graph is rhombic with area of 2Ab)
2, and then according to the eccentricity C / a = root 2 / 2, the two equations can be solved a, B
3. The coordinates of the left vertex and the upper vertex of the ellipse C can be obtained, that is, (a, 0) (0, b)
4. Calculate the coordinates of the midpoint of the line passing through AB, and the equations of the line passing through the midpoint of AB and the line perpendicular to ab
5. The center of the circle is the line passing through the origin and perpendicular to the vertical line of AB line segment (parallel to ab line segment with the same slope) and the focus of the vertical line of AB line segment
6. If the center of M circle and two points on the circle have been determined, the circle equation can be solved
It should be noted that you must draw a picture. When the picture comes out, you will understand