已知椭圆C：y^2/a^2 + x^2/b^2 = 1, (a > b > 0), F1(0, -√5)是C的一个焦点，D(-4/3, -√5)是C上一点，R为C的左顶点，直线y=y0(y0≠0)与C交于不同的两点P，Q。求C的方程。直接写出这个方程。
Pensiero
Breaking down the equation
I'm working through an ellipse equation in the form of y²/a² + x²/b² = 1. With the major axis along the y-axis and F1 (0, -√5) as a focus, I find c = √5 and a² - b² = 5.
Identifying key elements
Recognizing the major axis along the y-axis and c = √5, I set up a² - b² = 5 for the foci. This helps pinpoint essential parameters for the ellipse.
Mapping the ellipse
Locate the focus, center, and vertices on the ellipse by analyzing F1 (0, -√5), the major axis a, and the constant difference a² - b² = 5.
Solving equation pairs
I’m working through equations by substituting values and using the quadratic formula to isolate and solve for a² and b², resulting in potential solutions for B.
