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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