Current location - Training Enrollment Network - Mathematics courses - The Solution of Conic Curve Problem in Senior High School Mathematics
The Solution of Conic Curve Problem in Senior High School Mathematics
Let the two intersections of a straight line and an ellipse be (x 1, y 1)(x2, y2).

kom=(y 1+y2)/(x 1+x2)

Let the straight line be y = kx+b.

Bring in an ellipse, arrange it, and use Vieta's theorem to find x 1+x2. Similarly, you can get y 1+y2.

Or y1+y2 = kx1+b+kx2+b = k (x1+x2)+2b.

Substitute x 1+x2, y 1+y2 into k*kom and you can get it.

However, it is better to add a constraint condition that the discriminant is greater than or equal to 0 when using Vieta theorem, otherwise the straight line and ellipse will not intersect.