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[数学问题393]试求椭圆x2/a2+y2/b2=1(a>b>0)的内接平行四边形的最大周长.注:<数学通报>数学问题2104(2013年第二期)证明了,椭圆内接平行四边形的中心与椭圆的中心重合,并且求得了椭圆的内接平行四边形面积的最大值.
[Mathematical Issue 393] Find the maximum perimeter of the inscribed parallelogram of an ellipse with x2 / a2 + y2 / b2 = 1 (a> b> 0). Note: Mathematical Questions 2104 (Issue 2, 2013) It is proved that the center of the elliptical inscribed parallelogram coincides with the center of the ellipse and the maximum of the area of the inscribed parallelogram of the ellipse is obtained.