双曲线
melodic, smooth
June 7th, 2024suno
Lyrics
我们把平面内与两个定点F1，F2的距离的差的绝对值等于一个常数的轨迹称为双曲线;
平面内到两定点的距离差的绝对值为定长的点的轨迹叫做双曲线。
平面内，到两个定点的距离之差的绝对值为常数2a的点的轨迹称为双曲线。
定点叫双曲线的焦点，两焦点之间的距离称为焦距，用2c表示。
平面内，到给定一点及一直线的距离之比为常数e的点的轨迹称为双曲线。
定点叫双曲线的焦点，定直线叫双曲线的准线。
一平面截一圆锥面，当截面与圆锥面的母线不平行也不通过圆锥面顶点，且与圆锥面的两个圆锥都相交时，交线称为双曲线。
在平面直角坐标系中，二元二次方程满足以下条件时，其图像为双曲线。
系数矩阵满秩
德尔塔等于B方减AC大于0
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