顶点在X轴上,两顶点的距离是8,离心率=5/4焦点在Y轴上,焦距是16,离心率=4/3.请您稍微快些!!!!~~~~谢谢
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求方程：1)、顶点在X轴上,两顶点的距离是8,离心率=5/4。2)、焦点在Y轴上,焦距是16,离心率=4/3。解1)：由于e = 5/4 ＞ 1，所以应该是双曲线方程2a = 8，a = 4e = c/a = 5/4，c = 5a/4 = 5×4/4 = 5a^2 = 16，c^2 = 25b^2 = c^2 - a^2 = 25 - 16 = 9所求的方程为：x^2/16 - y^2/9 = 1解2)：由于e = 4/3 ＞ 1，所以应该是双曲线方程2c = 16，c = 8e = c/a = 4/3，a = 3c/4 = 3×8/4 = 6a^2 = 36，c^2 = 64b^2 = c^2 - a^2 = 64 - 36 = 28所求的方程为：x^2/36 - y^2/28 = 1