zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的 Geometry >

焦点 y^2-4x^2<1

解答

焦点

y^{2} - 4 x^{2} < 1

解答

(0, \frac{5}{2}), (0, - \frac{5}{2})

求解步骤

(h, k + c), (h, k - c)

改写为

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

计算双曲线性质

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

上下开口双曲线，

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

(0, 0 + c), (0, 0 - c)

计算

c :

c = 1^{2} + (\frac{1}{2})^{2} : \frac{5}{2}

(0, 0 + \frac{5}{2}), (0, 0 - \frac{5}{2})

整理后得

(0, \frac{5}{2}), (0, - \frac{5}{2})

作图

流行的例子

焦点 x^2-16y^2=64

f oc i x^{2} - 16 y^{2} = 64

焦点 (((x^2))/(27))-(((y)^2))/(36)=1

f oc i (\frac{( x ^{2} )}{27}) - \frac{( ( y ) ^{2} )}{36} = 1

焦点 x^2-y^2-6x+16y-119=0

f oc i x^{2} - y^{2} - 6 x + 16 y - 119 = 0

焦点 9x^2-25y^2=900

f oc i 9 x^{2} - 25 y^{2} = 900

焦点 ((x-5)/8)^2-((y+2)/7)^2=1

f oc i (\frac{x - 5}{8})^{2} - (\frac{y + 2}{7})^{2} = 1