If a < 0, the vertex of the parabola y = x * + 2aX + 1 + 2A * is in the? Th quadrant
fourth
Given that the distance from the point P on the parabola x2 = 4Y to the focus is 10, then the coordinate of point P is 0______ .
According to the definition of parabola, the distance from the point P to the focus is equal to the distance from the point P to the collimator, YP + 1 = 10, YP = 9, x = ± 6, P, and the point coordinate is (± 6, 9), so the answer is: (± 6, 9)
RELATED INFORMATIONS
- 1. Given that the distance from the point P on the parabola x2 = 4Y to the focus is 10, then the coordinate of point P is 0______ .
- 2. If the distance from a point m on the parabola x ^ 2 = - 16y to the focus is 6, then the coordinate of M is
- 3. If the distance between a point P and its focus on the parabola x ^ 2 = 4Y is 2, then the distance between point P and its directrix is 2
- 4. Let a (x1, Y1), B (X2, Y2), then x1x2 =? Let a (x1, Y1) and B (X2, Y2) pass through the focus of the parabola (x ^ 2) = 4Y to make the chord AB, then what is X1 times x2? There is a process or a graph.
- 5. How to find the directrix and focus of parabola? How to find the known parabola, collimator and focus? It is how to deduce the focal point and collimator of a parabola, or how to deduce a parabola from the focal point and collimator, just as the elliptic standard equation is derived by arithmetic and algebra.
- 6. Let a straight line passing through the focus of the parabola y2 = 2px (P > 0) intersect with the parabola. Let the coordinates of the two intersections be a (x1, Y1) and B (X2, Y2) respectively. Prove: (1) y1y2 = - P2 (2) x1x2 = p24
- 7. It is known that the center of ellipse C is at the origin and the focus is on the x-axis. The coordinates of a vertex B of ellipse C are (0,1) and the eccentricity is equal to 22. The line L with slope 1 intersects ellipse C at two points m and n. (1) find the equation of ellipse C; (2) ask whether the right focus F of ellipse C can be the center of gravity of △ BMN? If possible, find out the equation of line L; if not, explain the reason
- 8. If P (2,2) is the midpoint of AB, then the equation of parabola C is______ .
- 9. The left focus of the ellipse is (√ 3,0), and the right vertex is d (2,0). Let a (1,1 / 2) be a moving point on the ellipse. If P is a moving point on the ellipse, find the trajectory equation of the midpoint m of the line PA
- 10. Given that the distance from a point P on the parabola y2 = 16x to the x-axis is 12, then the distance from P to the focus f is equal to 12______ .
- 11. When a
- 12. It is known that the vertex m of the parabola y = AX2 + BX + C with downward opening is in the second quadrant And through the points a (1,0), B (0,1) (1) Please judge the value range of real number a and explain the reason (2) Let the other intersection of the parabola and the x-axis be c. when the area of △ AMC is 25 / 16 times of the area of △ ABC, a is obtained
- 13. Generally, we can use formula to find the vertex and symmetry axis of parabola y = ax ^ 2 + BX + C (a ≠ 0). Y = ax ^ 2 + BX + C = a [x + (B / 2a)] ^ 2+ Generally, we can find the vertex and symmetry axis of parabola y = ax ^ 2 + BX + C (a ≠ 0) y=ax^2 + bx + c =a[x+(b/2a)]^2 + (4ac-b^2)/4a, y=ax^2 + bx + c It should not be converted to (x + B / 2a) ^ 2 = B ^ 2-4ac / 4A ^ 2. How can it be converted to the above form?
- 14. The vertex of the parabola y = AX2 + BX + C is on the Y-axis and passes through two points - (- 1,3), (- 2,6)
- 15. Parabola y = - 4 (x + 3) square, when x_____ The value of function y increases with the increase of X_____ The value of function y decreases with the increase of X, and the square of parabola y = - 4 (x + 3) can be changed from the plane direction of parabola y = - 4x_____ Translation_____ Units get it!
- 16. The distance from the image vertex of quadratic function y = ax ^ 2 + K to the X axis is 3, and the shape is the same as that of parabola y = x ^ 2
- 17. 6. If the parabola y = ax & # 178; + BX + C (a is not equal to 0) passes through the points a (- 1,0), B (3,0), then the symmetric axis of the parabola is a straight line, and the analytic function is?
- 18. Parabola y square = 20x find the Quasilinear equation and focus coordinates? Write the calculation process
- 19. If the vertex of the parabola is O, the focus is f, and M is the moving point on the parabola, then the value range of | Mo | / | MF |
- 20. In △ ABC and △ def, ab = 4, BC = 5, AC = 8, de = 6, DF = 12 are known, then △ ABC is similar to △ def when EF = ()