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The number of intersections of parabola y = - 3 ^ 2 + 2x-1 and coordinate axis is () A. 0 B. 1 C. 2 D. 3
y=-3x^2+2x-1
Discriminant = 4-4 (- 3) (- 1)
If the parabola y = (m-1) x ^ 2 + 2x + 1 / 2m image has only two intersections with the coordinate axis, then M=
If there are and only two focal points, they must pass through the origin, and (0,0) brings in M = 0
If the number of intersections between the parabola y = - 3x2 + 2x-1 and the coordinate axis is less than 0, there is no intersection between the image and the X axis. What about the number of intersections with the Y axis?
Y = - (3x2-2x + 1), there is no intersection with the X axis, and the intersection with the Y axis, let x = 0, get the intersection coordinates (0, - 1), there is only one intersection. Another method is to draw the approximate image of the parabola, and then it is clear at a glance
What is the number of intersections between the parabola y = - x ^ 2 + X + 7 and the coordinate axis?
2. Find the number of intersections of parabola y = x ^ 2-ax + A-2 and coordinate axis
1 intersection with y axis
Triangle > 0, two intersections with X axis
So the first question is three
two
Triangle equals a & sup2; - 4A + 8 = (A-2) & sup2; + 4 > 0
So there are three
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- 1. 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!
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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?
- 9. In y = ax & # 178; + BX + C, the solution of A0 is? Ax & # 178; + BX + C
- 10. 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（
- 11. 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）
- 12. Find the area of the intersection coordinates a, B and △ AOB of the straight line y = 2x + 8 and the parabola y = x & # 178
- 13. 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
- 14. Judge the truth of the converse proposition of "if M > 0, then equation x2 + 2x-3m = 0 has real root"
- 15. To solve the equations, one half x + one third y = 1 3x-y = 2
- 16. On the univariate quadratic equation of X (m-1) x2 + (2m + 1) x + M2-1 = 0, then the value of M is 0______ ．
- 17. It is known that the integer m satisfies 6 ＜ m ＜ 20. If the quadratic equation MX2 - (2m-1) x + m-2 = 0 with respect to X has a rational root, the value of M and the root of the equation are obtained
- 18. Given the set a = {x | X & # 178; + ax + B = 0} = {1,2}, (1) find the value of a, B, (2) inequality | 2x-a|
- 19. If the result of inequality 1 / 3 (2x-k) > x-k is X There's another one Given that the solutions X and y of the equations y-2x = m (1), 2Y + 3x = m + 1 (2) satisfy 2x + y ≥ 0, the value range of M is obtained.
- 20. Finding inequality 3 (x + 1) greater than or equal to 5x-9