Thank you very much: in the circle O, the chord AB intersects the chord CD, and ab = CD
The intersecting pairs of vertex angles are equal, and the same arcs are the same
RELATED INFORMATIONS
- 1. Given the diameter ab of circle O, perpendicular to the chord CD at point E, connect CO and extend the intersection ad at point F. if CF is perpendicular to ad, ab = 2, find the length of CD process CF is not the center of the circle
- 2. As shown in the figure, it is known that BF is perpendicular to AC, CE is perpendicular to AB, BF and CF intersect at D, and BD = CD
- 3. It is known that in the plane rectangular coordinate system xoy, the image of quadratic function y = x2-bx + C (b > 0) passes through point a (- 1, b) and intersects with y axis at point B, and the cotangent value of ∠ ABO is 3. (1) find the coordinates of point B; (2) find the analytic expression of this function; (3) if the top point of this function image is C, prove: ∠ ACB = ∠ abo
- 4. It is known that the oabc of a square whose side length is 1 is in the rectangular coordinate system, the two points a and B are in the first quadrant, and the angle between OA and X axis is 30 degrees
- 5. Given the square oabc with side length of 2, in the rectangular coordinate system, the angle between OA and Y axis is 30 degrees, find the coordinates of point a, point B and point C
- 6. In Cartesian coordinate system, point m (- 4,2), point n (2, - 6), point P are on Y axis, and PM = PN, then the coordinates of point P are obtained
- 7. Known: in the plane rectangular coordinate system, m (0,1), n (2,2), take a point P on the x-axis to minimize the value of PM + PN, then what is the coordinate of point P A (3 / 2, 0) B (3 / 2, 0) C (0, 3 / 2) d (2 / 3, 0)
- 8. In the rectangular coordinate system, the distances from a moving point m (x, 0) on the X axis to two points P (5,5) and Q (1,2) are MP and MQ respectively. Find the minimum value of MP + MQ and the coordinate of point M
- 9. When a rectangular coordinate system is established with the fixed point of a parabola as the origin and the symmetry axis of the parabola as y, the relation of the parabola can be set as
- 10. As shown in the figure, the parabola y = AX2 + BX + C passes through three points a (- 1,0) B (3,0) C (0,3), the axis of symmetry intersects the parabola at point P, and intersects the straight line BC at point m, connecting Pb 1. Find the analytical formula of the parabola 2. Whether there is a point Q on the parabola, so that the area of △ QMB and △ PMB is equal. If there is, find the coordinate of point Q; if not, explain the reason 3. Whether there is a point R on the parabola on the right side of the symmetry axis in the first quadrant, so that the area of △ rpm and △ RMB is equal. If there is, write the coordinates of point R directly Graph in space
- 11. Ca and CB are tangent lines of circle O, and the tangent points are a and B respectively. They connect the intersection chord ab of OC to point D. It is known that the radius of circle O is 4 and the chord AB = 4. To prove that OC bisects AB 2 vertically: to find out The length of AC
- 12. Find the symmetric point coordinates of point P (x0, Y0) with respect to AX + by + C = 0
- 13. Curve: X & sup3; - 3x & sup2; + 2x straight line, y = KX, and the tangent between the straight line and the curve and the point (x0, Y0) (x0 ≠ 0), find the equation of the straight line and the tangent point coordinates
- 14. When AB is greater than 0 and AC is less than 0, which quadrant can't the straight line ax + by + C = 0 pass through?
- 15. If the line ℓ passes through the point P (x0, Y0) and is perpendicular to the line ax + by + C = 0, then the line ℓ equation can be expressed as () A. A(x-x0)+B(y-y0)=0B. A(x-x0)-B(y-y0)=0C. B(x-x0)+A(y-y0)=0D. B(x-x0)-A(y-y0)=0
- 16. Linear equation problem: solve the linear equation parallel to the point a (x0, Y0) and the line ax + by + C = 0
- 17. Point a (x0, Y0) is on the right branch of hyperbola x24 − y232 = 1. If the distance from point a to the right focus is equal to 2x0, then x0=______ .
- 18. Why is the equation of a line passing through point a (x0.y0) and parallel to the line ax + BX + C1 equal to 0 generally: a (x minus x0) plus B (y minus Y0) equals zero?
- 19. Formula and derivation of coordinates of parabola vertex
- 20. Let f (x, y) = x + Y-A (x + 2 * (2XY) ^ 0.5, where x and y are positive real numbers. If f (x, y) is greater than or equal to zero for any X and y, the range of a is obtained?