A problem of linear function It is known that the coordinates of three points a, B and C in the rectangular coordinate system are (3,3) (- 6, m) (n, - 2), respectively. The three points are in the first three or four quadrants, and the line where AB is located passes through the origin o (1) Find the function analytic formula of AB and the value of M; (2) If part of the triangle of △ ABC in the first quadrant is folded along the x-axis, point a just falls on the side of BC 1. Find the function analytic formula of the line where BC is located and the point C coordinate; 2. If P is a point on the x-axis, the triangle with vertices o, C and P is an isosceles triangle

A problem of linear function It is known that the coordinates of three points a, B and C in the rectangular coordinate system are (3,3) (- 6, m) (n, - 2), respectively. The three points are in the first three or four quadrants, and the line where AB is located passes through the origin o (1) Find the function analytic formula of AB and the value of M; (2) If part of the triangle of △ ABC in the first quadrant is folded along the x-axis, point a just falls on the side of BC 1. Find the function analytic formula of the line where BC is located and the point C coordinate; 2. If P is a point on the x-axis, the triangle with vertices o, C and P is an isosceles triangle

1) Let the analytic formula of the straight line AB be: y = KX substituted into (3,3); (- 6, m) get: {3K = 3; - 6K = M solution get: k = 1, M = - 6y = x2) let the folded point a be a ', a' (3, - 3) let the analytic formula of the straight line BC be: y = KX + B substituted into (3, - 3); (- 6, - 6) get: {3K + B = - 3; - 6K + B = - 6 solution get: k = 1 / 3, B = - 4Y = 1 /

The problem of linear function
If we know that the image of the linear function y = - x + A and y = x + B intersects at point (m, 8), then a + B=
If the image of a linear function y = (3-K) x-k passes through the second, third and fourth quadrants, then the value range of K is

According to the meaning of the title
-m+a=8
m+b=8
The sum of the two formulas leads to
a+b=16
2)
∵ through two or four quadrants
∴3-k3
∵ through three or four quadrants
∴-k0
The range of K is k > 3

The problem of linear function
Given that the unit price of apple is 10 yuan / kg, Xiaoming's mother pays y yuan for x kg of apple, writes out the functional relationship between Y and X, and points out whether this function is a linear function or a positive proportion function?

Y = 10x. It is a linear function and a positive proportional function