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橢圓的參數式
Aug 23rd 2013, 16:48

1.(1)橢圓x^2/9+y^2/16=1的內接矩形中,求
(i)最大面積為? 在第一象限之頂點座標為?
(ii)最大周長為? 在第一象限之頂點座標為?
(2)橢圓R:x^2/a^2+y^2/b^2=1之內接矩形中,最大面積為? 此時期周長為?
(3)橢圓R:x^2/a^2+y^2/b^2=1之內接矩形中,最大周長為?
2.設A(2,-4),B(4,0)及橢圓4x^2+9y^2=36,若點P在橢圓上,則三角形PAB面積的最大值為? 最小值為?

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