The known points a (x1y1), B (x2y2) C (x3y3) are all on the image with inverse scale function y = - 4 / X And x1 ＜ 0 ＜ x2 ＜ X3 1. Draw the image of this function and mark the position of ABC. 2. According to the image, compare the sizes of Y1, Y2 and Y3

The known points a (x1y1), B (x2y2) C (x3y3) are all on the image with inverse scale function y = - 4 / X And x1 ＜ 0 ＜ x2 ＜ X3 1. Draw the image of this function and mark the position of ABC. 2. According to the image, compare the sizes of Y1, Y2 and Y3

∵ the image with inverse scale function y = - 4 / X is in the second and fourth quadrants,
When X1 < 0, Y1 > 0
When 0 ＜ x2 ＜ X3, the image is in the fourth quadrant,
With the increase of X, y increases, and Y < 0
∴0〉y3＞ y 2
All in all, there are
y2＜y3＜0＜y1

Given that the image of function y = 6 / X and function y = KX + 3 intersects at point a (x1y1) B (x2y2) and the square of X1 + the square of x2 = 5, find the value of K and the coordinates of a and B

The simultaneous equations are 6 / x = KX + 3, that is KX ^ 2 + 3x-6 = 0. Because there are two solutions, we get △ = 9 + 24K > 0, that is k > - 3 / 8, X1 + x2 = - 3 / kx1x2 = - 6 / kx1 ^ 2 + x2 ^ 2 = (x1 + x2) ^ 2-2x1x2 = (- 3 / k) ^ 2-2 * (- 6 / k) = 5, K1 = - 3 / 5, K2 = 3, so k = 3 is brought into equation 6 / x = KX + 3, X1 = - 2, X2 = 1y1 = -