求双曲线9y^2-16x^2=144的实半轴长、虚半轴长、焦点坐标、离心率、渐近线方程.方程两边同除以144,原式化为标准方程:y^2/16-x^2/9=1则a^2=16,b^2=9,c^2=a^2+b^2=25得a=4,b=3,c=5易知实半轴长:4 虚半轴长:
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![求双曲线9y^2-16x^2=144的实半轴长、虚半轴长、焦点坐标、离心率、渐近线方程.方程两边同除以144,原式化为标准方程:y^2/16-x^2/9=1则a^2=16,b^2=9,c^2=a^2+b^2=25得a=4,b=3,c=5易知实半轴长:4 虚半轴长:](/uploads/image/z/2487254-14-4.jpg?t=%E6%B1%82%E5%8F%8C%E6%9B%B2%E7%BA%BF9y%5E2-16x%5E2%3D144%E7%9A%84%E5%AE%9E%E5%8D%8A%E8%BD%B4%E9%95%BF%E3%80%81%E8%99%9A%E5%8D%8A%E8%BD%B4%E9%95%BF%E3%80%81%E7%84%A6%E7%82%B9%E5%9D%90%E6%A0%87%E3%80%81%E7%A6%BB%E5%BF%83%E7%8E%87%E3%80%81%E6%B8%90%E8%BF%91%E7%BA%BF%E6%96%B9%E7%A8%8B.%E6%96%B9%E7%A8%8B%E4%B8%A4%E8%BE%B9%E5%90%8C%E9%99%A4%E4%BB%A5144%2C%E5%8E%9F%E5%BC%8F%E5%8C%96%E4%B8%BA%E6%A0%87%E5%87%86%E6%96%B9%E7%A8%8B%EF%BC%9Ay%5E2%2F16-x%5E2%2F9%3D1%E5%88%99a%5E2%3D16%2Cb%5E2%3D9%2Cc%5E2%3Da%5E2%2Bb%5E2%3D25%E5%BE%97a%3D4%2Cb%3D3%2Cc%3D5%E6%98%93%E7%9F%A5%E5%AE%9E%E5%8D%8A%E8%BD%B4%E9%95%BF%EF%BC%9A4+%E8%99%9A%E5%8D%8A%E8%BD%B4%E9%95%BF%EF%BC%9A)
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