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It is known that the two intersections of parabola y = - x + BX + C and X axis are a (m, 0), B (n, 0), M + n = 4, M / N = 1 / 3 (1) Find the analytical formula of this parabola (2) Let the intersection of the parabola and the y-axis be C, and make a straight line parallel to the x-axis through C to intersect the parabola at another point P, and calculate the area of △ ACP
What does the intersection of the parabola and the x-axis indicate?
The parabola passes through the origin, so f (0) = 0, we can deduce: C = 0
You can also ask me questions here:
If the two intersections of the parabola y = x ^ 2 + 2x + m and the X axis are on both sides of the origin
If the intersection points of parabola y = x ^ 2 + 2x + m and X axis are on both sides of the origin, then the value range of X is___
Wrong number. It's the range of M
The intersection point with the X axis is the value of X when y = 0, so let 0 = x ^ 2 + 2x + m, because on both sides, X1 * X2 is less than 0. According to the Vader theorem, C / A is less than 0, so m is less than 0. Because there must be an intersection point, B ^ 2-4ac is greater than 0, so m is less than 1 and less than 0, so the solution set is m less than 0. Do you understand
It is known that the vertex a of the parabola is on the straight line y = 2x, the parabola passes through the origin o, and the other intersection of the parabola and the X axis is B, OB = 4
∵ ob = 4, ∵ B (4,0) or B (- 4,0). When B (4,0), and the parabola passes through the origin o, ∵ the symmetry axis of the parabola is x = 2. The vertex a of the parabola is on the straight line y = 2x ∵ y = 2 × 2 = 4, ∵ a (2,4). Let y = a (X-2) 2 + 4, from the meaning of the problem, we get 0 = a (0-2) 2 + 4,
RELATED INFORMATIONS
- 1. There are two points of intersection between parabola and x-axis, which are (- 2,0) (1) the parabola and X-axis have two intersection points (- 2,0) (1 / 2,0) and the intercept on Y-axis is 1, so the analytical formula of the parabola is obtained
- 2. Parabola y = ax & # 178; + BX + C (a < 0), the intersection points with X axis are (- 1,0), (3,0), then C of a is equal to?
- 3. In y = ax & # 178; + BX + C, the solution of A0 is? Ax & # 178; + BX + C
- 4. As shown in the figure, the parabola y = ax ^ 2 + BX + C and an intersection a of the X axis are at the same point（
- 5. A part of the parabola y = a (x + 1) 2 + 2 is shown in the figure. The coordinates of the intersection of the parabola on the right side of the Y-axis and the x-axis are () A. （12，0）B. （1，0）C. （2，0）D. （3，0）
- 6. If the value of X of fraction x-3 is 0, then x =?
- 7. Ask a question to find the range of function y = x2-ax + 1 (x belongs to (- 1,1) a is a constant) You know what? Come on
- 8. If the image of the function y = x ^ 2 + (a + 2) x + 3, X ∈ [a, b] is symmetric with respect to the line x = 1, then what is B-A equal to?
- 9. The image of the function f (x) = ax Λ 2 + BX + C (a ≠ 0) is symmetric with respect to the line x = - B / 2A Come on, I'm going to class The solution set of numbers a, B, C, m, N, P with respect to the equation m [f (x)] Λ2 + NF (x) + P = 0 cannot be () a. {1,2} B {1,4} C {1,2,3,4} D {1,4,16,64}
- 10. It is known that the square of quadratic function y = ax + BX + C and a point of intersection coordinate of X axis is (8,0), and if x = 6 is y, it has the minimum negative value of 12, the analytic expression of quadratic function is obtained
- 11. The image of parabola y = AX2 + BX + C has two intersections m (x1,0), n (x2,0) with x-axis, and passes through point a (0,1), where 0 ＜ x1 ＜ x2. The line L passing through point a intersects point C with x-axis, and intersects point B with parabola (different from point a), satisfying that △ can is isosceles right triangle and s △ BMN= five 2 s △ amn
- 12. It is known that there is only one intersection point C between the parabola and the x-axis, and it intersects with the straight line y = x + 2 at two points AB, where a is on the y-axis AC = 2 root 2 (1) to find the analytical formula of the parabola（ It is known that there is only one intersection point C between the parabola and the y-axis, and the parabola and the straight line y = x + 2 intersect at two points AB, where a on the y-axis AC = 2 root sign 2 (1) find the analytical formula of the parabola (2) if point B is on the right side of point a, P is a point on the line AB (point P and ab do not coincide with each other, passing through point P to make the vertical angle of the x-axis parabola at Q. suppose that the length of PQ is MP and the abscissa is x, find the functional relationship between M and x, and write out the value range of the independent variable x (3) Whether there is a point P on the line AB so that the circle with the diameter of the line PQ in 2 passes through the point A. if there is, the coordinates of the point P can be obtained There should be only one intersection point C with the X axis
- 13. Given that the square of the parabolic equation y = MX (M belongs to R, and M is not equal to 0) 1, if the focal coordinate of the parabola is (1,0), the equation of the parabola is solved
- 14. It is known that the parabola y = MX & sup2; + (M-6) X-6 (the constant M is not equal to 0) (1) when m is the value, the distance between the two intersections of the parabola and the X axis is equal to 2 When I set up the equation, the answer is always wrong
- 15. How many intersections are there between the parabola y = x ^ 2-ax + A-2 and the coordinate axis I really think it's three, but the teacher said no, she said three wrong, help me!
- 16. The number of intersections of parabola y = - 3 ^ 2 + 2x-1 and coordinate axis is () A. 0 B. 1 C. 2 D. 3
- 17. The intersection of the line y = x and the parabola y = - 2x2 is () A. （12，0）B. （-12，-12）C. （-12，-12），（0，0）D. （0，0）
- 18. Find the area of the intersection coordinates a, B and △ AOB of the straight line y = 2x + 8 and the parabola y = x & # 178
- 19. Judge whether the inverse proposition of the proposition "if M > 1 / 4, then the quadratic equation MX & # 178; - x + 1 = 0 has no real root" is true or false
- 20. Judge the truth of the converse proposition of "if M > 0, then equation x2 + 2x-3m = 0 has real root"