Solution: (1) When m= 1/2, parabola C 1: y = (x+ 1/2) 2, so the vertex d of parabola C2 is on parabola C 1. Detailed answers/exercises/math look here.
Figure, parabola c 1: y = (x+m) 2 (m is a constant, m >;; 0), the parabola y =-x 2 is translated so that its vertex d is on the image on the right side of the parabola C 1 on the y axis, and the parabola C2 is obtained. The parabola intersects the X axis at points A and B (point A is to the left of point B), the Y axis intersects with point C, and the abscissa of point D is a. 。
(1) as shown in figure 1, if m= 1/2.
A when OC=2, find the analytical formula of parabola C2;
Is there a in B, so that there is a point P on BC line, so that the sum of the distances from point B and point C to line OP is the largest and Ap=BP? If it exists, find the value of a; If it does not exist, please explain the reason;
(2) As shown in Figure 2, when OB=2, the radical number 3-m (0
This question is really difficult. I believe you will understand after reading the answer. If you don't understand, you can keep asking me.