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
It is known that the distance from the moving point P to the point F (1,0) in the plane is less than the distance from the point P to the line x = - 2 by 1
Then the distance from P to point F (1,0) is equal to the distance from point P to line x = - 1. According to the definition of parabola, the trajectory of point P is parabola
P = 1 focus (1,0) equation y ^ 2 = 4x
RELATED INFORMATIONS
- 1. The ratio of the distance from the moving point P to the point F (10,0) in the plane to the distance from the straight line x = 4 is 2. The trajectory equation of the point P is obtained
- 2. If the distance from the moving point P to the point a (0, - 2) on the plane is 2 less than the distance to the L: y line = 4, then the trajectory equation of the moving point P is Detailed process
- 3. How to output 2 or more graphs in MATLAB? For example, what statements can be added between plot (,); plot (,); and finally jump out of two graphs?
- 4. How to express ln function in MATLAB?
- 5. Use matlab to solve the differential equation and draw the graphic solution Y = solve ('d3y = d2y-dy-y + T ^ 2 ','y (0) = 0','dy (0) = 1 ','d2y (0) = - 1') how to draw a graph after solving this problem!
- 6. How to draw the image of implicit function x ^ 4 + y ^ 2 = 1 with MATLAB?
- 7. Drawing phase diagram of differential equation with MATLAB dx./dt=y*(4+x^2-y^2) dy./dt=-x(-2-x^2+y^2) Please write the MATLAB phase diagram method of the equation source program!
- 8. Using MATLAB to solve differential equations dx/dt=x-y-x(x^2+y^2) dy/dt=x+y-y(x^2+y^2) x(0)=2 y(0)1
- 9. Solving differential equations with MATLAB Equations: DX / dt = - 2aX + UY dy/dt=2Ax+auz-(A+u)y x+y+z=1 The solution of MATLAB is as follows >>global A,u >>[x,y,z]=dsolve('Dx=(-2)*A*x+u*y','Dy=2*A*x+2*u*z-(A+u)*y','x+y+z=1','x(0)=1,y(0)=0,z(0)=0') Result error: Error using ==> dsolve There are more ODEs than variables. Why did it go wrong?
- 10. How to draw function image of y = (1 + x) ^ (1 / x) with MATLAB
- 11. 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
- 12. 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
- 13. 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______ .
- 14. 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?
- 15. 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
- 16. 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
- 17. 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?
- 18. 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
- 19. 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
- 20. 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