In the second diagnosis! In the rectangular coordinate plane, the distance from a moving point P on the right side of the y-axis to the point (1 / 2,0) is 1 / 2 larger than the distance from it to the y-axis, so the trajectory C of the moving point P is called
Let the coordinates of any point on C be (x, y)
(X-1/2)^2+Y^2=(x+1/2)^2
Just simplify
Note: (x-1 / 2) ^ 2 represents the square of (x-1 / 2)
RELATED INFORMATIONS
- 1. It is known that the difference between the distance from a moving point P to point F (1.0) in the plane and the distance from point P to y axis is equal to 1 The equation for finding the locus C of the moving point P
- 2. It is known that the difference between the distance from a moving point P to point F (1,0) and the distance from point P to Y-axis is 1 The equation for finding the locus C of the moving point P Through point F, make two lines L1 and L2 whose slopes exist and are perpendicular to each other. Let L1 intersect with trajectory C at points a, B and L2 and intersect with trajectory C at points c and D. find the minimum value of vector ad multiplied by vector EB
- 3. In the same plane, the distance from the known point O to the straight line L is 5. Draw a circle with the center of the circle and the radius of R. when r =? There are only three points on the circle O whose distance to the straight line L is equal to 3?
- 4. If the three planes are perpendicular to each other, their three intersecting lines intersect at point O, and the distances from a point P in space to the three intersecting lines are 2,5 ^ (1 / 2) and 7 ^ (1 / 2), respectively, then the length of OP is
- 5. If we know that plane α ‖ plane β, line L ⊂ plane α, point P ∈ line L, and the distance between planes α and β is 8, then the distance to point P in β is 10, and the trajectory of the point with the distance to l of 9 is () A. A circle B. four points C. two straight lines D. two points
- 6. In the plane rectangular coordinate system, the trajectory equation of the moving point m (x, y) whose distance to the point F (0.1) is equal to the distance to the straight line L: y = - 1 is?
- 7. In the plane rectangular coordinate system xoy, it is known that P is the moving point on the image of the function f (x) = ex (x > 0). The tangent l of the image at point P intersects the y-axis at point m, and the vertical line passing through point P intersects the y-axis at point n. suppose the ordinate of the midpoint of line Mn is t, then the maximum value of T is______ .
- 8. In the plane rectangular coordinate system, the locus of the moving point m (x, y) whose distance to the point F (0.1) is equal to the distance to the straight line L: y = - 1
- 9. The distance from a moving point P to the point F (2,0) in the plane is 1 less than the distance from it to the straight line x + 3 = 0 The answer is y ^ 2 = 8x (x > = - 3) Why be x
- 10. It is known that the distance from the moving point P to the point F (1,0) in the plane is smaller than the distance from the point P to the line x = - 2. Find the trajectory equation of the point P
- 11. In the rectangular coordinate plane, the distance from a moving point P on the right side of the y-axis to the point (1 / 2,0) is 1 / 2 larger than the distance from it to the y-axis The equation for finding the locus C of the moving point P
- 12. In the rectangular coordinate plane, the distance from a moving point P on the right side of the y-axis to the point (1 / 2,0) is 1 / 2 larger than the distance from it to the y-axis The equation for finding the locus C of the moving point P Let Q be a moving point on the curve C, and the points B and C are on the y-axis. If the triangle QBC is a circumscribed triangle of circle (x-1) ^ 2 + y ^ 2, the minimum area of the triangle QBC is obtained
- 13. When a plane passes through two points (2,2,1) and (- 1,1, - 1), it is perpendicular to another plane 2x-3y + Z = 3. Find the equation of the first plane
- 14. The equation for finding the projection line of the line 2x-4y + Z = 0,3x-y-2z-1 = 0 on the plane X-Y + Z = 2
- 15. Find the tangent plane and normal equation of surface 3x ^ 2 + y ^ 2-z ^ 2 = 3 at point P (1,1,1)
- 16. Find the section equation of the square of surface y * 2 = x * 2 + Z at point (3,5,4)
- 17. Find the section equation of surface e with Z power - Z + xy = 3 at point (2,1,0)
- 18. Section equation of a curved surface cut by a plane Such as the title. If x ^ 2 + y ^ 2 + Z ^ 2 = 4 is cut by X + y + Z = 0, what is the section equation? I don't want to draw. I want to see pure algebra, because there are many complex drawings that can't be drawn
- 19. In this paper, the binary quadratic equation x ^ 2-3xy + 2Y ^ 2 = 0 is transformed into two linear equations
- 20. Tangent plane equation of surface x ^ 2 + 2Y ^ 2 + Z ^ 2 = 12 at point (1,1, - 3)