Current location - Recipe Complete Network - Catering industry - (20 14? Kunming simulation) As shown in the figure, in the plane rectangular coordinate system, the coordinate of point A is (m, m), the coordinate of point B is (n, -n), and a parabola passes through
(20 14? Kunming simulation) As shown in the figure, in the plane rectangular coordinate system, the coordinate of point A is (m, m), the coordinate of point B is (n, -n), and a parabola passes through
(20 14? Kunming simulation) As shown in the figure, in the plane rectangular coordinate system, the coordinate of point A is (m, m), the coordinate of point B is (n, -n), and a parabola passes through it. Solution (1) Solve equation x2-2x-3=0,

X 1=3,x2 =- 1。

∫m < n,

∴m=- 1,n = 3...( 1)

∴A(- 1,- 1),B(3,-3).

Let the analytical formula of straight line AB be y = KX+B.

∴? k+b=? 13k+b=? 3,

Solution: k =? 12b=? 32,

Therefore, the analytical formula of straight line AB is y =-12x-32;

Let the analytical formula of straight line OB be y=kx,

∴3k=-3,

Solution: k=- 1,

∴ The analytical formula of straight line OB is y =-x;

(2)∵ The parabola passes through the origin, and the analytical formula of the parabola is y = AX2+BX (a ≠ 0).

∴a? b=? 19a+3b=? 3,

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