求证:双曲线x²-15 y²=15与椭圆x²÷25+y²÷9=1的焦点相同
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/20 15:04:12
![求证:双曲线x²-15 y²=15与椭圆x²÷25+y²÷9=1的焦点相同](/uploads/image/z/2586914-26-4.jpg?t=%E6%B1%82%E8%AF%81%EF%BC%9A%E5%8F%8C%E6%9B%B2%E7%BA%BFx%26%23178%3B-15+y%26%23178%3B%3D15%E4%B8%8E%E6%A4%AD%E5%9C%86x%26%23178%3B%C3%B725%2By%26%23178%3B%C3%B79%3D1%E7%9A%84%E7%84%A6%E7%82%B9%E7%9B%B8%E5%90%8C)
求证:双曲线x²-15 y²=15与椭圆x²÷25+y²÷9=1的焦点相同
求证:双曲线x²-15 y²=15与椭圆x²÷25+y²÷9=1的焦点相同
求证:双曲线x²-15 y²=15与椭圆x²÷25+y²÷9=1的焦点相同
x^2/15 - y^2 = 1, a^2 = 15, b^2 = 1, c^2 = a^2 + b^2 = 16, c = 4
同样,椭圆的c^2 = 25-9 = 16, c = 4