The equation for the projection of the sphere x ^ 2 + y ^ 2 + Z ^ 2 = 9 and the plane x + y = 1 on the xoy plane

The projection equation is: X & # 178; + Y & # 178;

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1. The projection of the intersection line of x ^ 2 + y ^ 2 under the equation z = x ^ 2 + y ^ 2 and z = 2-radical on xoy plane,
2. What does DS represent in the surface integral of area in higher numbers
3. Let s be a sphere x ^ 2 + y ^ 2 + Z ^ 2 = 1, and find the value of surface integral ∫ (x + y + Z + 1) ds. The answer is 4 Π
4. Let ∑ be the cylinder x ^ 2 + y ^ 2 = a ^ 2 at 0
5. Let D: x ^ 2 + y ^ 2 + Z ^ 2 = a ^ 2, then what is the area of ∫ (x + y + Z) ^ 2ds curve divided into? (on D) The answer is 4 Π a ^ 4
6. The focal point F of the parabola is on the positive half axis a (M. - 3) of the x-axis, and the standard equation is solved on the parabola AF5
7. The distance from the focus to the collimator is 5, and the parabolic standard equation is solved RT.
8. The standard equation of parabola with focus f (0, - 4) is?
9. If we know that the focal coordinate of parabola is f (0, - 2), then its standard equation is?
10. It is known that the standard equation of parabola is a straight line x = - 2, and the focus is f (2,3). According to the definition of parabola, the equation of this parabola is obtained
11. ∫∫∑ 1 / √ (1 + 4x & # 178; + 4Y & # 178;) ds, ∑ surface z = x & # 178; + Y & # 178; (0 ≤ Z ≤ 1)
12. ∫ (X & ∫ 178; + Y & ∫ 178;) ds ∑: z = root X & ∫ + Y & ∫ 178; the part cut off by z = 2 ∫ ∫ is followed by ∑
13. Given the coordinates (1,2 times the root sign 3) of the endpoint B of the line segment AB, the endpoint a moves on the circle P (x + 1) ^ 2 + y ^ 2 = 4, find the tangent equation of the trajectory of the midpoint m in AB and P passing through point B
14. ∫∫ s (x + y + Z) ds, where s is the upper hemisphere, z = √ a ^ 2-x ^ 2-y ^ 2 Detailed point, this is a class of surface integral problem
15. Calculate the surface integral ∫ (x ^ 2 + y ^ 2 + Z ^ 2) ^ - 0.5ds, where ∑ is the sphere x ^ 2 + y ^ 2 + Z ^ 2 = a ^ 2 (z > 0)
16. Find ∫ DS, where l is the circle x2 + y2 = 4
17. High number LIM (x - > 0) TaNx / x ^ 3-x ^ 2-2x why TaNx ~ x ^ 3-x ^ 2-2x ~ (- 2x)
18. High number: l is the circle x square + y square; find L (x square + y Square) ds under ∮
19. If you translate the straight line y = - 2x + 6 downward by how many units, you can get that there is only one intersection point between the new straight line and the hyperbola y = 1 / x?
20. As shown in the figure, the straight line y = 2x moves 2 units along the positive direction of x-axis, intersects with X-axis at point a, and intersects with hyperbola y = 6 / X and hyperbola y = K / X at two points BC respectively, And the area of triangle OBC = the area of triangle OAB, K=