It is known that F 1 and F 2 are the left and right focal points of the ellipse C: x 24 + y 23 = 1 respectively, and P is the moving point on the ellipse C, then the trajectory equation of the center of gravity g of △ pf1f 2 is () A. x236+y227＝1(y≠0)B. 4x29+y2＝1(y≠0)C. 9x24+3y2＝1(y≠0)D. x2+4y23＝1(y≠0)

It is known that F 1 and F 2 are the left and right focal points of the ellipse C: x 24 + y 23 = 1 respectively, and P is the moving point on the ellipse C, then the trajectory equation of the center of gravity g of △ pf1f 2 is () A. x236+y227＝1(y≠0)B. 4x29+y2＝1(y≠0)C. 9x24+3y2＝1(y≠0)D. x2+4y23＝1(y≠0)

Let g (x, y), P (m, n), then x = − 1 + 1 + m3y = 0 + 0 + N3, ∪ M = 3XN = 3Y ∫ P is the moving point on the ellipse C ∫ M24 + n23 = 1 ∫ 9x24 + 9y23 = 1 ∫ G is the center of gravity of △ pf1f2 ∫ y ≠ 0 ∫ the trajectory equation of the center of gravity g of △ pf1f2 is 9x24 + 3y2 = 1 (Y ≠ 0), so C is selected