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受欢迎的 Geometry >

((y-(-2))/(x-3))((y-1)/(x-(-2)))=-6

解答

(\frac{y - ( - 2 )}{x - 3}) (\frac{y - 1}{x - ( - 2 )}) = - 6

解答

(h, k) = (\frac{1}{2}, - \frac{1}{2}), a = \frac{53}{2 2}, b = \frac{159}{2}

求解步骤

\frac{y - ( - 2 )}{x - 3} \cdot \frac{y - 1}{x - ( - 2 )} = - 6

将

\frac{y - ( - 2 )}{x - 3} \frac{y - 1}{x - ( - 2 )} = - 6

改写为椭圆标准方程

\frac{( x - \frac{1}{2} ) ^{2}}{( \frac{53}{2 2} ) ^{2}} + \frac{( y - ( - \frac{1}{2} ) ) ^{2}}{( \frac{159}{2} ) ^{2}} = 1

因此椭圆的性质为:

(h, k) = (\frac{1}{2}, - \frac{1}{2}), a = \frac{53}{2 2}, b = \frac{159}{2}

b > a

因此

b

是长半轴，

a

是短半轴

中心 (h, k) = (\frac{1}{2}, - \frac{1}{2}), 长半轴为 b = \frac{159}{2}, 短半轴为 a = \frac{53}{2 2} 的椭圆

作图

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