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习题6-57.求一条渐近线方程为x-3y=0,并且焦距为10的双曲线际准方程。解:本题只告诉双曲线的焦距为10,并未说明焦点在何处,所以应考虑焦点在x轴及y轴上两种情况。(1)焦点在x轴上。应设所求双曲线方程为
Exercise 6-57. Find a hyperbola quasi-equation with an asymptotic equation x-3y=0 and a focal length of 10. Solution: This question only tells the focal length of the hyperbola to be 10, which does not indicate where the focus is, so the focus should be on the x-axis and y-axis. (1) The focus is on the x-axis. The desired hyperbolic equation should be set