If the distance from a point m on the parabola y = 4x2 to the focus is 1, then the ordinate of point m is () A. 1716B. 1516C. 78D. 0
According to the definition of parabola, if the distance from m to the focus is 1, then the distance from m to the collimator is also 1. The collimator of ∵ parabola is y = - 116, and the ordinate of ∵ m point is 1-116 = 1516
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- 1. If the distance from a point m on the parabola y = 4x2 to the focus is 1, then the ordinate of point m is () A. 1716B. 1516C. 78D. 0
- 2. If the distance from a point m on the parabola y = 4x2 to the focus is 1, then the ordinate of point m is () A. 1716B. 1516C. 78D. 0
- 3. If the distance from a point m on the parabola y = 4x2 to the focus is 1, then the ordinate of point m is () A. 1716B. 1516C. 78D. 0
- 4. The square of parabola y = 2px (P > 0), the distance from a point m to the focus is a (a > P / 2), then what is the distance from point m to the collimator? The abscissa of point m is If the distance between a point m and the focus on the parabola y = 2px (P > 0) is a (a > P / 2), what is the distance between the point m and the collimator? What is the abscissa of the point m?
- 5. If the abscissa of a point m on the parabola y2 = 16x is 6, then the distance from m to the focus f is 0______ .
- 6. What is the distance from point (3, - 6) to the focus of the parabola y square = 12x
- 7. Let ABC be three different points on the parabola y2 = 4x, if the focus F of the parabola is exactly the center of gravity It is known that ABC is three different points on the parabola y ^ 2 = 4x. If the focus F of the parabola is exactly the center of gravity of the triangle ABC, then the value of AF + BF + CF is equal to?
- 8. Let f be the focus of the parabola y2 = 4x, and a, B, C be the three points on the parabola. If the center of gravity of the points a (1,2), △ ABC coincides with the focus F of the parabola, Then the equation of the line where the BC edge is located is
- 9. Hyperbola 25 / x square - 9 / y square = 1 any point P is closer to this hyperbola, the distance from one focus is 2, find the distance from point P to another focus
- 10. Let p be a point on the hyperbola (x ^ 2 of 16) - (y ^ 2 of 9) = 1, and the distance from P to one focus of the hyperbola is 10, then what is the distance from P to another focus
- 11. The distance from one focus to two focuses on the ellipse is D1 D2, and the focal length is 2C. If D1 2C D2 is an arithmetic sequence, the eccentricity of the ellipse can be calculated
- 12. It is known that P is a point on the hyperbola x ^ 2 / 4-y ^ 2 / b ^ 2, F1 and F2 are the left and right focal points, the three sides of ⊿ P F1F2 grow into an arithmetic sequence, and ∠ F1 P F2 = 120 to calculate the value of E E is the eccentricity-
- 13. The two foci F1, F2, P of hyperbola (x ^ 2) / 4 - (y ^ 2) / (b ^ 2) = 1 (B ∈ n *) are a point on the hyperbola, / op / < 5, / Pf1 /, / F1F2 /, / PF2 / are in equal proportion sequence, and the equation of the hyperbola is obtained
- 14. The two focuses of hyperbola x ^ 2 / 4-y ^ 2 / b ^ 2 = 1 are F1 and F2, and point P is on the hyperbola, if | Pf1 | F1F2 | PF2 | is an arithmetic sequence And | 0P | = 5, then B ^ 2=
- 15. The two foci F1, F2 and P of hyperbola x2 / 4-y2 / B2 = 1 are the points on the hyperbola, Pf1, F1F2 and PF2 form an arithmetic sequence, and op = 5, then B ^ 2 =?
- 16. If the ratio of the distance from a vertex of hyperbola to the corresponding quasilinear to the distance from this point to another focus is λ, then the value range of λ is? No derivative algorithm
- 17. If the distance from a point P on the hyperbola x2 / 64 - Y2 / 36 = 1 to the right focus of the hyperbola is 4, then the distance from point P to the left focus of the hyperbola is? If the distance between point P and its right focus is 17, then the distance between point P and its left focus is? It needs to be explained in detail
- 18. On the hyperbola x2 / 16-y2 / 9 = 1, a point P makes it twice as far from the left focus as it is from the right focus
- 19. On hyperbola x2 − y216 = 1, the distance from a point P to one of its focal points is equal to 4, then the distance from point P to another focal point is equal to 4______ .
- 20. If the distance from a point P on the hyperbola x2 / 25-y2 / 9 = 1 to one focus is 15, then the distance from it to another focus is 15