2xx-3yy=13

解答

2 xx - 3 yy = 13

(h, k) = (0, 0), a = \frac{13}{2}, b = \frac{13}{3}

求解步骤

2 xx - 3 yy = 13

将

2 xx - 3 yy = 13

改写为标准双曲线方程形式

\frac{( x - 0 ) ^{2}}{( \frac{13}{2} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{13}{3} ) ^{2}} = 1

因此双曲线的性质为:

(h, k) = (0, 0), a = \frac{13}{2}, b = \frac{13}{3}

\frac{( y - 5 ) ^{2}}{100} - \frac{( x + 1 ) ^{2}}{25} = 1

- (\frac{x - 3}{2})^{2} + (\frac{y - 2}{5})^{2} = 1

x^{2} - y^{2} = 2^{2}

x^{2} - 6 x - 9 y^{2} - 54 y - 81 = 0

\frac{( x - 4 ) ^{2}}{9} - \frac{( y - 4 ) ^{2}}{4} = 1