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In the plane rectangular coordinate system xoy, let the image of quadratic function f (x) = x ^ 2 + 2x + B have three intersections with the two coordinate axes, and the circle passing through these three intersections is marked as C (I) find the equation of circle C; (II) set point a is a fixed point passed by circle C (its coordinates are independent of B). Ask whether there is a constant k such that the straight line y = KX + K and circle C intersect at points m, N, and | am | = | an |. If it exists, find the value of K; if not, please explain the reason
(1) Using △, △ = 4-4b, because there are three intersections with the two coordinate axes, there are two intersections with the X axis, and the triangle > 0, so B
In the plane rectangular coordinate system xoy, let the quadratic function f (x) = x ^ 2 + 2x + B (b) In the plane rectangular coordinate system xoy, let the quadratic function f (x) = x ^ 2 + 2x + B (b)
(1) Using △, △ = 4-4b, because there are three intersections with the two coordinate axes, there are two intersections with the X axis, and the triangle > 0, so B
Let the image of the quadratic function f (x) = x ^ 2 + 2x + a (x belongs to R) have three intersection points with the two coordinate axes in the plane rectangular coordinate system xoy (1) Find the value range of real number a (2) If the distance between the image of quadratic function f (x) = x ^ 2 + 2x + A and the two intersection points of X axis is 4, find the equation of circle C
1. From the problem, we can know that there must be an intersection point between the ᙽ function and the y-axis, and the function has two roots
In the plane rectangular coordinate system xoy, there are two intersections between the image with quadratic function f (x) = x ^ 2 + 2x + B and two coordinate axes, and the circle passing through the three intersections is marked as C 1. Find the range of B 2. Circular C equation 3. Whether circle C passes through a fixed point I want to know why the answer (0,1) can be calculated in the third question. Doesn't it mean that B = 1? It's three intersections. dial the wrong number
There should be three focal points with the axis, right?
In the third question, the circle C passes through the point (0,1) identically, but the circle C passing through (0,1) does not mean that the parabola also passes through this point~
In the plane rectangular coordinate system, let the image of quadratic function f (x) = x ^ 2 + 2x + B (x belongs to R) have three intersection points with two coordinate axes, The center of the circle passing through these three intersections is C. find the equation of circle C
f(x)=(x+1)^2+(b-1)
Let x = 0, then f (0) = B, which is the intersection of F (x) and Y axis
Let f (x) = 0, then x = - 1 ± √ (1-B), which is the intersection of F (x) and X axis
Let C (x, y), then x ^ 2 + (B-Y) ^ 2 = [x + 1 - √ (1-B)] ^ 2 + y ^ 2 = [x + 1 + √ (1-B)] ^ 2 + y ^ 2
Find x = - 1, y = (1 + b) / 2, where B
It is known that there is a point P in the plane rectangular coordinate system, and the distance between the point P and the X axis is 2 and the distance from the Y axis is 3
If the distance between the point P and the X axis is 2, then the y-axis coordinate is / 2 /. Similarly, the x-axis coordinate is / 3 /
The coordinates of point P are (3,2) or (- 3,2) or (3, - 2) or (- 3, - 2)
/2 / is absolute
Point P is in the second quadrant. The distance between P and X axis is 4, and the distance from Y axis is 3. Then what is the coordinate of P?
Hello, the answer is p (- 3,4)
As shown in the figure, there is a point P (x, y) in the plane rectangular coordinate system. The distance from the X axis is 3, and the distance to the Y axis is 1, and XY > 0. Try to draw the point P in the plane rectangular coordinate system and write the coordinates of the point P Well, I don't need to draw. Help me calculate the coordinates of P
P（1,3）
Or P (- 1, - 3)
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In the plane rectangular coordinate system, the distance from the point P to the X axis is 2, and the distance to the Y axis is 1
The distance from point P to X axis is 2, so the ordinate of point P may be 2 or - 2; the distance to y axis is 1, and the abscissa of point P may be 1 or - 1, so there are four kinds of coordinates of point P
P1(1,2) P2(1,-2) P3(-1,2) P4(-1,-2)
In the plane rectangular coordinate system, what is the distance between the point P (2.3) and the X axis, and the distance to the Y axis
].
What do you think? Dizzy!
3,2 ah! The distance between a point and two axes is the coordinate of this point. Hello, the way to mark a point is this
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