(x^2)/(65)-(y^2)/(65)=1

解答

\frac{x ^{2}}{65} - \frac{y ^{2}}{65} = 1

(h, k) = (0, 0), a = 65, b = 65

求解步骤

\frac{x ^{2}}{65} - \frac{y ^{2}}{65} = 1

将

\frac{x ^{2}}{65} - \frac{y ^{2}}{65} = 1

改写为标准双曲线方程形式

\frac{( x - 0 ) ^{2}}{( 65 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 65 ) ^{2}} = 1

因此双曲线的性质为:

(h, k) = (0, 0), a = 65, b = 65

x^{2} - y^{2} + 4 y = 1

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

4 = x^{2} - 4 y^{2}

3 x^{2} - y^{2} + 6 x - 12 y = 0

x^{2} - 2 y^{2} \leq 3