11^2+x^2=y^2

解答

1 1^{2} + x^{2} = y^{2}

(h, k) = (0, 0), a = 11, b = 11

求解步骤

1 1^{2} + x^{2} = y^{2}

将

1 1^{2} + x^{2} = y^{2}

改写为标准双曲线方程形式

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

因此双曲线的性质为:

(h, k) = (0, 0), a = 11, b = 11

\frac{( x - 5 ) ^{2}}{16} - \frac{( y - 10 ) ^{2}}{10} = 1

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

4 x^{2} - 3 y^{2} + 32 x - 18 y = - 25

4 x^{2} - z^{2} = 1

\frac{( y + 2 ) ^{2}}{25} - \frac{( x - 10 ) ^{2}}{36} = 1