已知圆:x^2+y^2-2x-根号2y=0经过椭圆x^2/a^2+y^2/b^2=1的右焦点F及上顶点B过圆外一点M(m,0)(m>a)做倾斜角为5π/6的直线l交于椭圆C.D两点求椭圆的方程若右焦点F再以cd为直径的圆E的内部,求m的取值范
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![已知圆:x^2+y^2-2x-根号2y=0经过椭圆x^2/a^2+y^2/b^2=1的右焦点F及上顶点B过圆外一点M(m,0)(m>a)做倾斜角为5π/6的直线l交于椭圆C.D两点求椭圆的方程若右焦点F再以cd为直径的圆E的内部,求m的取值范](/uploads/image/z/6932048-32-8.jpg?t=%E5%B7%B2%E7%9F%A5%E5%9C%86%EF%BC%9Ax%5E2%2By%5E2-2x-%E6%A0%B9%E5%8F%B72y%3D0%E7%BB%8F%E8%BF%87%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%E7%9A%84%E5%8F%B3%E7%84%A6%E7%82%B9F%E5%8F%8A%E4%B8%8A%E9%A1%B6%E7%82%B9B%E8%BF%87%E5%9C%86%E5%A4%96%E4%B8%80%E7%82%B9M%28m%2C0%29%28m%3Ea%29%E5%81%9A%E5%80%BE%E6%96%9C%E8%A7%92%E4%B8%BA5%CF%80%2F6%E7%9A%84%E7%9B%B4%E7%BA%BFl%E4%BA%A4%E4%BA%8E%E6%A4%AD%E5%9C%86C.D%E4%B8%A4%E7%82%B9%E6%B1%82%E6%A4%AD%E5%9C%86%E7%9A%84%E6%96%B9%E7%A8%8B%E8%8B%A5%E5%8F%B3%E7%84%A6%E7%82%B9F%E5%86%8D%E4%BB%A5cd%E4%B8%BA%E7%9B%B4%E5%BE%84%E7%9A%84%E5%9C%86E%E7%9A%84%E5%86%85%E9%83%A8%EF%BC%8C%E6%B1%82m%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83)
已知圆:x^2+y^2-2x-根号2y=0经过椭圆x^2/a^2+y^2/b^2=1的右焦点F及上顶点B过圆外一点M(m,0)(m>a)做倾斜角为5π/6的直线l交于椭圆C.D两点求椭圆的方程若右焦点F再以cd为直径的圆E的内部,求m的取值范
已知圆:x^2+y^2-2x-根号2y=0经过椭圆x^2/a^2+y^2/b^2=1的右焦点F及上顶点B
过圆外一点M(m,0)(m>a)做倾斜角为5π/6的直线l交于椭圆C.D两点
求椭圆的方程
若右焦点F再以cd为直径的圆E的内部,求m的取值范围
已知圆:x^2+y^2-2x-根号2y=0经过椭圆x^2/a^2+y^2/b^2=1的右焦点F及上顶点B过圆外一点M(m,0)(m>a)做倾斜角为5π/6的直线l交于椭圆C.D两点求椭圆的方程若右焦点F再以cd为直径的圆E的内部,求m的取值范
1、有题知c/a=√2/2,2a+2c=4(√2+1),解得a=2√2,c=2,b=2.椭圆方程为
x²/8+y²/4=1,等轴双曲线方程为x²-y²=4.
2、P在等轴双曲线上,设P(m,√(x²-4)),F1(-2,0),F2(2,0),
则K1×K2=√(m²-4)/(m+2)×√(m²-4)/(m-2)=1.本题得证.
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