To make the two intersections of the circle x ^ 2 + y ^ 2 + DX + ey + F = 0 and the X axis on both sides of the origin,
F is less than 0
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- 1. When d ^ 2 + e ^ 2-4f > 0, the quadratic equation x ^ 2 + y ^ 2 + DX + ey + F > 0 is called the equation of circle Is that right?
- 2. The general equation of high school mathematics circle x ^ 2 + y ^ 2 + DX + ey + F = 0, f must be less than zero? What?
- 3. What is the condition that "d square + e square - 4f > 0" is the equation x square + y square + DX + ey + F representing a circle?
- 4. Excuse me, the general equation of this circle x + y + DX + ey + F = 0, why D + e-4f > 0? How is d + e-4f > 0 obtained?
- 5. In the equation x ^ 2 + y ^ 2 + DX + ey + F = 0, if d ^ 2 = e ^ 2 = 4f, then the position of the circle () A. The length of the chord obtained by cutting two axes is equal B. Tangent to both axes C. Away from two axes D. All of the above are possible
- 6. If the center of x ^ 2 + y ^ 2 + DX + ey + F = 0 (d ^ 2 + e ^ 2-4f > 0) is on the straight line x + y = 0, then the relation of D, e, f What does F have to do with them
- 7. What are the conditions for the intersection of the circle x ^ 2 + y ^ 2 + DX + ey + F = 0 and the Y axis on both sides of the origin Detailed process, thank you
- 8. Calculation of Y · y ^ n 1 - 2Y ^ n * y ^ 2 y ^ n-1y ^ 3 Can you explain every step of simplification? I don't know why it's 2Y ^ n * y ^ 2 y·y^n 1 -2y^n*y^2 y^n-1y^3
- 9. The circle X & sup2; + Y & sup2; + DX + ey + F = 0 is symmetric with respect to the line y = X A.D+E=0 B.D-E=0.C.D+F=0 D.D-F=O
- 10. Let the sum of the first n terms of the sequence {an} be Sn, and 2An = Sn + 2n + 1 (n ∈ n *) (I) find A1, A2, A3; (II) prove that the sequence {an + 2} is an equal ratio sequence; (III) find the sum of the first n terms of the sequence {n · an} and TN
- 11. The equation x ^ 2 + y ^ 2 + DX + ey + F = 0 is equivalent to the equation of circle A. Sufficient but not necessary condition B, necessary but not sufficient condition C, sufficient and necessary condition D, neither sufficient nor necessary condition
- 12. When the equation x + y + DX + ey + F = 0 satisfies what condition, it means circle
- 13. If the analytic expression of the function y = x ^ 2-4x + 3 is y = x ^ 2, then a =? Process
- 14. The image of the function f (x) = - 2cos (x + π / 4) is shifted a (a > 0) units to the left to get the image of the function y = g (x). If G (x) is an even function, then the image of a is a The minimum value is? Answer in detail, O (∩)_ Thank you
- 15. Given the function FX = 2sinxcosx-2cos ^ 2x + 1, the image of the function FX is shifted to the right by 6 units to get GX
- 16. After the image of the function y = 3 / x + A is shifted one unit to the left, the image C1 of y = f (x) is obtained. If the curve C1 is symmetric about the origin, then the value of real number a is
- 17. If the image of odd function y = f (x) is translated by two units along the positive direction of X axis, the resulting image is C. If C1 and C are symmetric about the origin, then C1 corresponds to the function
- 18. Monotone increasing interval of function y = xcosx SiNx
- 19. Given that f (x) = x, G (x) = RF (x) + SiNx is a decreasing function on the interval [- 1,1] Finding the maximum of R
- 20. Quadratic function y = (2 / 3) x ^ 2 image is above X axis, vertex coordinates (0,0) are origin A0, points A1, A2, A3 , A2008 on the positive half axis of y-axis, points B1, B Quadratic function y = (2 / 3) x ^ 2 image is above X axis, vertex coordinates (0,0) are origin A0, points A1, A2, A3 , A2008 on the positive half axis of y-axis, points B1, B2, B3 If the triangle a0b1a1, a1b2a2, a2b3a3 and a2007b2008a2008 are equilateral triangles, what is the side length of the triangle a2007b2008a2008?