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Breakthrough 08 Vertical chord problem of conic curve (eight major question types) (analytical version).
Question type 1: The hypotenuse of a right triangle within the ellipse must pass the fixed point.
Question type 2: The hypotenuse of the right triangle connected to the hyperbola must pass the fixed point, and the edge must pass the fixed point.
Question Type 4: The midpoint of two strings perpendicular to each other in an ellipse is over a fixed point.
Question type 5: The straight line where the midpoint of two strings perpendicular to each other of the hyperbola is over the fixed point.
Question Type 6: The straight line where the midpoint of two strings perpendicular to each other in a parabola is over a fixed point.
Question Type 7: Inscribed right triangle range and maximum value problem.
Question Type 8: The range and maximum value of two strings perpendicular to each other.
1.Make two perpendicular chords ab , cd at any point on the long axis of the ellipseIf the midpoints of the chord are m and n respectively, then the straight line mn is constant over the fixed point.
2.Over the ellipse at any point on the minor axis t(0,t)(-t
3.Over any point within the ellipse. Make two strings that are straighter to each other ab, cdIf the midpoints of the strings ab and cd are m, n respectively, then the straight line mn is constant over the fixed point.
4.An ellipse fixed at a right angle must be followed by the hypotenuse of a right triangle that passes the fixed point.
5.The hypotenuse of the right triangle in the ellipse with the above vertex is the right-angled vertex must pass the fixed point, and the fixed point is fixed on the x-axis.
6.The hypotenuse of the right triangle in the ellipse with the right vertex as the right vertex must pass the fixed point, and the fixed point is on the x-axis.
7.The hypotenuse of a right-angled triangle in a parabola fixed at a right angle must pass through the fixed point.
8.The hypotenuse of a right triangle enclosed by a hyperbola fixed at a right angle must pass the fixed point.