y/(2x+y^2)= x/((4+xy))

解答

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

(h, k) = (0, 0), p = \frac{1}{2}

求解步骤

\frac{y}{2 x + y ^{2}} = \frac{x}{4 + x y}

将

\frac{y}{2 x + y ^{2}} - \frac{x}{4 + x y} = 0

改写为标准形式

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

因此抛物线性质是:

(h, k) = (0, 0), p = \frac{1}{2}

x^{2} + 32 x = 4 y - 4

2 x^{2} + 12 x + 14 - 14 y = 0

(x - 4)^{2} = - 6 (y + 8)

x^{2} + 5 x + 6 = 0.5 u (y)

x = \frac{1}{9} y^{2}