![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
The standard equation of the circle whose center is on the line y = - 2x and passes through the point a (0,1) and is tangent to the line x + y = 1
（x+1/2)^2+(y-2/3)^2=2/9
Right? I'll tell you the way again. It's so simple
RELATED INFORMATIONS
- 1. Let the circle pass through point a (2, - 3), the center of the circle be on the straight line 2x + y = 0, and tangent to the straight line x-y-1 = 0, then the standard equation of the circle can be solved
- 2. The standard equation of a circle whose center is on 2x-y = 3 and tangent to two coordinate axes Two equations
- 3. Find the standard equation of the circle whose center is on the line 2x-y-3 = 0 and tangent to the X axis at the point (- 2,0) The standard equation of the circle whose center is on the line 2x-y-3 = 0 and tangent to the x-axis at the point (- 2,0)
- 4. It is known that the center of circle C is on the straight line 2x-y-3 = 0, and the standard equation of circle C can be obtained through points a (5,2), B (3,2)
- 5. The standard equation of a circle passing through points a (5,2) and B (3, - 2) with the center of the circle on the line 2x-y-3 = 0 I will find out the straight line L through AB, then find out the equation of AB vertical bisector, and then combine 2x-y-3 = 0 to find the center of the circle. But the answer is wrong. Is this method wrong?
- 6. Find the standard equation of the circle whose center is on the straight line 2x-y-3 = 0 and passes through points (5,2) and (3, - 2)
- 7. Given the circle m, the center of the circle is on the line 2x + y = 0, and tangent to the line x + Y-1 = 0 at the point a (2, - 1), find the standard equation of the circle m
- 8. Given that the circle C passes through point a (2, - 1), the center of the circle is on the line 2x + y = 0 and tangent to the line x + y = 0, then the standard equation of circle C is
- 9. It is known that the center coordinate of the circle is (- 1,2) and tangent to the line 2x + Y-5 = 0 at point M. the standard equation of the circle is obtained
- 10. If the circle C passes through (2, - 1) and is tangent to the line x-y-1 = 0, and the center of the circle is on the line y = - 2x, then the standard equation of the circle C is
- 11. As shown in the figure, in the plane rectangular coordinate system xoy, the circle e with a diameter of 10 intersects the x-axis at points a and B, and intersects the y-axis at points c and D. the coordinates of points a and B are as follows: A (- 2,0), B (4,0). Try to find the coordinates of center E and points c, D Thank you）
- 12. As shown in the figure, if a circle is tangent to the x-axis in the plane rectangular coordinate system at point a (8,0), and intersects with the y-axis at points B (0,4), C (0,16), then the diameter of the circle is______ ．
- 13. In the rectangular coordinate system as shown in the figure, a and B are two points on the x-axis, and the circle with ab as the diameter intersects the y-axis at C. suppose that the analytical formula of the parabola passing through a, B and C is y = xx-mx + N, and the sum of the two reciprocal of the equation xx-mx + n = 0 is - 2 (1) Find the value of n (2) Find the analytical formula of this parabola (3) Let a straight line parallel to the x-axis intersect the parabola at two points E and F. ask if there is a circle with the diameter of line segments E and f just tangent to the x-axis? If so, find out the radius of the circle; if not, explain the reason
- 14. In the plane rectangular coordinate system, there are two straight lines, y = 3 / 5x + 9 / 5 and y = - 3 / 2x + 6. Their intersection point is m. The first line intersects with X axis at point a, and the second line intersects with X axis at point a Intersection with X axis at point B (1) Find the coordinates of two points a and B; (2) Using the image method to solve the equations; {3x-5y = - 93x + 2Y = 12 (3) Find the area of △ mAb)
- 15. In the plane rectangular coordinate system, the line y = - 2x-8 intersects the X axis and Y axis at a and B respectively, and the point P (0, K) is a moving point on the negative half axis of Y axis Take P as the center of the circle and 3 as the radius to make the circle P, (1) connect PA, if PA = Pb, try to judge the position relationship between the circle P and the X axis, (2) under the condition of (1), find the analytical formula of the straight line AP. (3) under the conditions of (1) and (2), point G is a point on the straight line AB, through point G do GH ⊥ X axis intersection straight line AP at point h, ask whether there is a point G, Let P, O, G, h as the vertex of the quadrilateral for parallelogram. If there is to find the coordinates of point G, if not, explain the reason
- 16. As shown in the figure, in the plane rectangular coordinate system, the straight line L: y = - 2x-8 intersects with the x-axis and y-axis respectively at two points a and B. the point P (0, K) is a moving point on the negative half axis of the y-axis. Take P as the center of the circle and 3 as the radius to make ⊙ P Q: when what is the value of K, ⊙ P is tangent to the line L
- 17. As shown in the figure, in the plane rectangular coordinate system, the analytical expression of the straight line L is y = - 2x-8, L respectively intersects at two points a and B on the x-axis and y-axis, and the point P (0, K) is a moving point on the negative half axis of the y-axis. Take P as the center of the circle and 3 as the radius to make the circle P 2) When k is the value, the triangle with the two intersections of circle P and line L and the center of circle P as the vertex is an equilateral triangle? Come on, it's urgent,
- 18. In the plane rectangular coordinate system, the line y = KX + B intersects with the negative half axis of X axis at point a, and the positive half axis of Y axis at point B. the circle P passes through points a and B (the center P of the circle is on the negative half axis of X axis). It is known that ab = 10, AP = 25 / 4 1) The analytic formula of the straight line y = KX + B 2) Is there a point Q on the circle P such that the quadrilateral with apbq as its vertex is a diamond? If it exists, request the coordinates of point Q
- 19. If the difference between the algebraic formula 18 + m / 3 and M - 2 / 5 is 8, find the value of M and remove the denominator
- 20. When m is the value, the value of the algebraic formula 3 (m-2) 2 + 1 is 2 times larger than that of 2m + 1?