(y^2)/(56)-(x^2)/(56)=1

解答

\frac{y ^{2}}{56} - \frac{x ^{2}}{56} = 1

(h, k) = (0, 0), a = 214, b = 214

求解步骤

\frac{y ^{2}}{56} - \frac{x ^{2}}{56} = 1

将

\frac{y ^{2}}{56} - \frac{x ^{2}}{56} = 1

改写为标准双曲线方程形式

\frac{( y - 0 ) ^{2}}{( 2 14 ) ^{2}} - \frac{( x - 0 ) ^{2}}{( 2 14 ) ^{2}} = 1

因此双曲线的性质为:

(h, k) = (0, 0), a = 214, b = 214

\frac{( y - 1 ) ^{2}}{9} - \frac{( x - 3 ) ^{2}}{4} = 1

4 (y - 4)^{2} - (x - 2)^{2} = 36

\frac{( x - 3 ) ^{2}}{16 + ( y + 5 ) ^{2}} = 1

x^{2} - y^{2} = 71

x^{2} - y^{2} = 77