The distance from the moving point m to the fixed point a (- 3,0) is two times of the distance to the origin. The trajectory of the moving point m is a curve C. The equation of the curve C is obtained

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• 1. When a, B and C satisfy what conditions, the curve of equation (x-a) ^ 2 + (y-b) ^ 2 = R ^ 2 passes through the origin When a, B and C satisfy what conditions, the curve of equation y = ax ^ 2 + BX + C passes through the origin
• 2. A necessary and sufficient condition for the curve of equation (x-a) * 2 + (y-b) * 2 = R * 2 to pass through the origin
• 3. A necessary and sufficient condition for the curve of equation (x-a) ^ + (y-b) ^ = R ^ to pass through the origin
• 4. A point a on the circle moves in a circular motion with uniform velocity in a counter clockwise direction For example, the known point a turns angle a every minute (0 〈 a 〈 Wu), reaches the third quadrant after 2 minutes, returns to the original position after 14 minutes, and calculates the size of A
• 5. Point a moves in a circle with the origin as the center of the circle at a uniform speed in a counter clockwise direction. Given that point a starts from the positive half axis of x-axis and turns angle a (0 ＜ a ＜ 180) for 1min, reaches the third quadrant for 2min, and returns to the original position for 14min, then a =?
• 6. A point a on the circle moves in a circle at a constant speed in a counter clockwise direction Known point a turns angle a every minute (0 〈 a 〈 Wu), reaches the third quadrant after 2 minutes, returns to the original position after 14 minutes, and calculates the size of A
• 7. Point a moves in a circle with the origin as the center of the circle at a uniform speed in a counter clockwise direction. It is known that point a starts from the positive half axis of x-axis, turns the angle of θ (0 ＜ θ ＜ π) in one minute, reaches the third quadrant in two minutes, and returns to the original position in 14 minutes, then θ=______ ．
• 8. Calculate the curve integral ∮ (x ^ 2 + y ^ 2) ds C as x = acost, y = asint (0
• 9. Calculate the first curvilinear integral ∫ xyds, where C is the entire boundary of a triangle with curved edges bounded by y equal to x square, y = 0 and x = 1
• 10. The range of surface integral ∫ (a ^ 2 + x ^ 2 + y ^ 2) ^ 0.5 DS is the upper part of sphere x ^ 2 + y ^ 2 + Z ^ 2 = a ^ 2
• 11. The curve xy = - 1 is obtained by rotating 45 ° anticlockwise around the coordinate origin
• 12. Find the curve xy = - 1 and rotate 45 ° anticlockwise around the origin
• 13. When the line x + 2y-2 = 0 is rotated 90 ° anticlockwise around the origin, the linear equation is______ ．
• 14. When the line y = KX + B is rotated 90 degrees anticlockwise around the origin, the linear equation is
• 15. Draw a rough image of y = l1-x & # 178; L / (1-lxl). Please tell me how to draw it,
• 16. What graph is the curve represented by equation √ 1-lxl = √ 1-y (some numbers, x, y are all in the root sign)
• 17. Draw the image of the function y = LXL + 3, and use the image to answer the following questions: (1) when x is the value of y = LXL + 3, which value does Y increase with the increase of X (2) does the function y = LXL + 3 have a maximum value? Does the function y = LXL + 3 have a minimum value? (3) what is the maximum value of the function y when x is? It's urgent today·····
• 18. LXL Lyl = 1,
• 19. How to find the area of the geometric figure point surrounded by the image and coordinate axis of equation x = 3 and equation y + 4 = 0?
• 20. The area of the figure represented by the equation LXL + Lyl = 1 is?