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

RELATED INFORMATIONS

• 1. Find the section equation of surface e with Z power - Z + xy = 3 at point (2,1,0)
• 2. Find the section equation of the square of surface y * 2 = x * 2 + Z at point (3,5,4)
• 3. Find the tangent plane and normal equation of surface 3x ^ 2 + y ^ 2-z ^ 2 = 3 at point P (1,1,1)
• 4. 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
• 5. 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
• 6. 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
• 7. 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
• 8. 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
• 9. 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
• 10. 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
• 11. In this paper, the binary quadratic equation x ^ 2-3xy + 2Y ^ 2 = 0 is transformed into two linear equations
• 12. Tangent plane equation of surface x ^ 2 + 2Y ^ 2 + Z ^ 2 = 12 at point (1,1, - 3)
• 13. What is the integer solution of the equation 2x ^ 2-3xy-2y ^ 2-98 = 0
• 14. Find the tangent plane and normal equation of the surface X & # 178; + 2Y & # 178; + 3Z & # 178; = 21 at the point (- 1, - 2,2)
• 15. Find a point on the ellipse x ^ 2 + 4Y ^ 2 = 4 to make it the shortest distance to the plane 2x + 3y-6 = 0
• 16. The distance between X + 2y-4 = 0 and 2x + 4Y + 5 = 0 is
• 17. Find a point on the ellipse x ^ 2 + 4Y ^ 2 = 4 to make it the shortest distance to the plane 2x + 3y-6 = 0
• 18. Find the distance from the point P (2,3, - 1) to the straight line 2x-2y + Z + 3 = 0 3x-2y + 2Z + 17 = 0 Can you tell me the process? The answer seems to be 15
• 19. Plane equation passing through point (1,2,3) and parallel to plane 2x + 2Y + 2Z + 5 = 0 The teacher said, let x + A + y + B + Z = 1. Get 1 + 2 + B + 3 + C = 1 and (1, 1, 1, 1, 1, c) parallel to (2, 1, 2). Then I can work out the answer. But I don't understand why (1, 1, 1, B, 1, c) parallel to (2, 1, 2), (1, 1, 1, B, 1, c) is what?
• 20. Find the linear equation (space line and equation) passing through point (0,2,4) and parallel to two planes x + 2Z = 1 and y-3z = 2