When the equation x + y + DX + ey + F = 0 satisfies what condition, it means circle
x^2+y^2+dx+ey+f=0
(x+d/2)^2+(y+e/2)^2=1/4(d^2+e^2)-f
When 1 / 4 (d ^ 2 + e ^ 2) - F > 0, it means a circle with (- D / 2, E / 2) as the center and √ [1 / 4 (d ^ 2 + e ^ 2) - F] as the radius
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- 1. 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
- 2. 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,
- 3. 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?
- 4. The general equation of high school mathematics circle x ^ 2 + y ^ 2 + DX + ey + F = 0, f must be less than zero? What?
- 5. What is the condition that "d square + e square - 4f > 0" is the equation x square + y square + DX + ey + F representing a circle?
- 6. 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?
- 7. 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
- 8. 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
- 9. 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
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