Let point F1 be the left focus of x ^ 2 / 3 + y ^ 2 / 2 = 1, and the right focus of the chord AB passing through the ellipse. Find the maximum area of triangle f1ab. Remember to find the maximum!
Please draw a picture, then F1F2 = 1
Look at the triangle af1f2 and bf1f2
Just compare the distance between a, B and X axis
So obviously, when AB is perpendicular to x, the area has a maximum
→S=8√3/3