The image of quadratic function y = 1 / 16 of the square is a parabola, and its focal coordinate is
(0,4)
RELATED INFORMATIONS
- 1. As shown in the figure, the quadrilateral oabc is a right angled trapezoid. It is known that ab ∥ OC, BC ⊥ OC, the coordinates of point a are (3,4), ab = 6. (1) find out the analytic function of the straight line OA; (2) find out the perimeter of the trapezoid oabc; (3) if the moving point P moves along the direction of O ﹥ a ﹥ B ﹥ C (excluding O and C), and the distance of point P is s, write out the coordinates of point p; (expressed by the algebraic formula containing s) (4) if the straight line L passes through point d (3,0), and the line L divides the perimeter of right angle trapezoid oabc into two parts: 5:7
- 2. As shown in the figure, it is known that there is a straight line and a curve in the rectangular coordinate system. This straight line, X axis and Y axis intersect at point a and point B respectively, and OA = ob = 1 This curve is a branch of the image of the function y = 2x / 1 in the first quadrant. Point P is any point on this curve, and its coordinates are (a, b). The perpendicular lines PM and PN made from point P to X and Y axes, and the perpendicular feet are m and n. the straight line AB intersects PM and PN at points E and f respectively. (1) it is proved that AF # 8226; be = 1 (2) the coordinates of points E and F are obtained respectively (the coordinates of point e are represented by the algebraic expression of a, and the coordinates of point e are expressed by the algebraic expression of A, Using the algebraic expression of B to express the coordinates of point F, we only need to write the results, not the calculation process); (3) Calculate the area of △ OEF (the result is expressed by the algebraic formula containing a and b); (4) Please prove whether △ AOF and △ BOE are necessarily similar; if not, briefly explain the reasons (5) When the point P moves on the curve y = 2x / 1, △ OEF changes accordingly. Point out the size of the angle whose size remains unchanged among the three internal angles of △ OEF, and prove your conclusion
- 3. Let the equation of the line L1 be x + 2y-2 = 0, and rotate the line L1 90 ° counterclockwise around the origin to get the line L2, then the equation of L2 is______ .
- 4. The straight line M: x-2y = 0 rotates 45 degrees counterclockwise around the point P (2,1) to obtain the straight line L, and the equation of the straight line L is obtained
- 5. If the line X-Y + (3 ^ - 1) - 1 = 0 is rotated 15 degrees counterclockwise around points (1, 3 ^ - 1), the equation of the line L is?
- 6. In the plane Cartesian coordinate system, when the point a (4,2) is rotated 90 ° counterclockwise around the origin, the coordinate of the corresponding point a 'is____
- 7. Rotate the triangle 90 ° anticlockwise around point a for the first time, the second time and the third time respectively Rotate the triangle 90 ° anticlockwise around point a each time to draw the first, second and third rotation figures respectively. Use C1, C2 and C3 to represent the position of point C after rotation, and use number pairs to represent it. Connect C, C1, C2, C3 and C in turn to see what the figure is. Speed up
- 8. Draw a triangle AOB and rotate 90 ° counterclockwise around o point
- 9. Take a point p outside a right triangle ABC and rotate it 180 degrees counter clockwise. How to draw?
- 10. Draw the right triangle AOB rotated 180 degrees counterclockwise around point o
- 11. As shown in the figure, in diamond shaped ABCO, the coordinates of point B are (3,3), and the coordinates of point C are () A. (0,2)B. (0,3)C. (0,2)D. (0,3)
- 12. The coordinates of points a, B and C are (3,0), (1, 3 under the root sign) and (0,1) respectively (4 / 4) the coordinates of points a, B and C are (3,0), (1, 3 under the root sign) and (0,1) respectively to find the area of the quadrilateral oabc
- 13. As shown in the figure, the vertices a, D and C of oabc and ADEF are on the coordinate axis, the point F is on the line AB, and the points B and E are on the function As shown in the figure, the vertices a, D and C of oabc and ADEF are on the coordinate axis, the point F is on the line AB, and the points B and E are on the function y = 1 / X (x)
- 14. If 1 + Tana / 1-taba = 3 + 2 √ 2, then sin2a How to simplify Cosa √ 2siina
- 15. Given x2 + y2 = 1, find the maximum and minimum of 2x + y Maximum value related to circle
- 16. Given that | X-Y + 1 | and X2 + 8x + 16 are opposite to each other, find the value of x2 + 2XY + Y2
- 17. Factorization factor: x2-2xy + y2-4=______ .
- 18. [2/xy/(1/x+1/y)2+(x2+y2)/(x2+2xy+y2)]*2x/(x-y)
- 19. Given that C is the half focal length of the ellipse x2a2 + y2b2 = 1 (a > b > 0), then the value range of B + Ca is______ .
- 20. 1/2xy+y2+1+x2-1/2xy-2xy-1