It is known that: point a (3, - 1) and point B (B, 1 / 2) are on the image with positive scale function y = KX. (1) find the value of B and the analytic formula of positive proportion function (2

It is known that: point a (3, - 1) and point B (B, 1 / 2) are on the image with positive scale function y = KX. (1) find the value of B and the analytic formula of positive proportion function (2

The point a (3, - 1) is on the image of positive scale function y = KX,
So k = - 1 / 3,
Point B (B, 1 / 2) is on the image with positive scale function y = - 1 / 3x,
So B = - 3 / 2
The analytic formula of positive proportional function is y = - 1 / 3 X

Given that the image of positive scale function passes through points a (2,4) and B (a, - 2), the relationship of the function and the value of a are obtained

Let the analytic expression of this positive proportional function be y = KX. Substituting x = 2, y = 4 into y = KX, we can get the following formula: y = KX
4=2k
K = 2, and then substituting k = 2 into y = KX, the analytic formula of positive proportion function is y = 2x
Substituting x = a, y = - 2 into y = 2x, the result is as follows:
-2=2a
a=-1

Point a (2,4) is on the graph of positive scale function. The analytic expression of this positive proportion function is______ .

Let the analytic expression of this positive proportional function be y = KX,
∵ point a (2,4) is on the image of the positive scale function,
ν 4 = 2K, i.e. k = 2,
The analytic formula of this positive proportional function is: y = 2x

It is known that a (- 2, - 1) and B (m, 3) are two points on the image of a positive proportional function. The value of M is obtained

Let y = KX replace a (- 2, - 1) with k = 1 / 2
Substituting B (m, 3) into y = 1 / 2 x gives m = 6

As shown in the figure, the positive proportion function image passes through point a (1,3). What is the analytic formula of the function

Let y = KX
3=k1
∴k=3
y=3k

As shown in the figure, we know an intersection point of a (3,2) such that the positive scale function y = ax and the inverse scale function y = K / X (1) The relationship between positive and negative proportional functions is obtained; (2) Fill in the blank: the solution set of inequality ax > k / X is_______ ; (3) P (m, n) is a moving point on the image of the function y = K / x, where 0

(1) The meaning of the title
3a=2 k/3=2
∴a=2/3 k=6
∴y=2/3*x y=6/x
(2) Another intersection point (- 3, - 2) is obtained by symmetry about the origin
The solution set of ax > k / X is: - 3

It is known that, as shown in Fig. f5-3, the intersection of the image with positive scale function y = ax and inverse scale function y = K / X at point a (3,2) 1. Try to determine the positive proportion function and inverse proportion 2. According to the image answer, in the first quadrant, when the value of X is taken, the value of inverse scale function is greater than that of positive proportion function? 3. M (m, n) is a moving point on the inverse scale function image, where 0

I didn't see your picture. I answered according to my feeling
1) Taking the coordinates of point a into two functions, we get 3A = 2,2 = K / 3, that is, a = 2 / 3, k = 6
The positive and inverse proportional functions are y = 2 / 3x, y = 6 / x, respectively
2) In the first quadrant, when 0

It is known that the image with positive scale function y = ax and inverse scale function y = K The image of X intersects point a (3,2) (1) Try to determine the expressions of the above positive and inverse proportional functions; (2) According to the answer of the picture, when x is taken in the first quadrant, the value of the inverse proportional function is greater than that of the positive proportional function?

(1) Substituting a (3, 2) into y = ax leads to 2 = 3A,
∴a=2
3，
∴y=2
3x，
Substitute a (3, 2) into y = K
X is: 2 = K
3，
∴k=6，
∴y=6
x，
A: the expressions of positive and inverse proportional functions are y = 2
3x，y=6
x．
（2）
It can be seen from the graph that the value of inverse proportional function is greater than that of positive proportion function when 0 < x < 3

As shown in the figure, the image with positive scale function y = 1 / 2x and inverse scale function y = K / X (1) The chord is the j diameter

(1) Because the area of △ OAM is 1, so k = 2. So the analytic formula of inverse proportional function is: y = 2 ＆ 47; X (2) B's abscissa is 1, so B (1,2) finds P so that PA + Pb is the minimum. 99, find the symmetry point C (1, - 2) of B on the X axis to connect AC, and the focus of AC and X axis is point P (the line between two points is the shortest). Therefore, the equation a C is y = 3x-5, so when y = 0, X = 5 & 47; 3, so p (5 & 47; 3,0) thank you!

As shown in the figure, the image with the inverse scaling function y = 8 / X passes through the vertex B of the rectangular oabc, OA and OC are on the positive half axis of the x-axis and y-axis respectively, OA: OC = 2:1 (1) (2) if the straight line y = 2x + m bisects the area of rectangular oabc, find the value of M

(1) According to the property of inverse proportional function, OA × OC = 8, and OA: OC = 2:1, we get: OC = 2, OA = 4
So the coordinates of point B are (4,2)
(2) From the linear equation, it can be calculated that the intercept of the line on the y-axis is m, and the intercept on the x-axis is - M / 2; the intersection point of the line and a side BC of the rectangle can be solved by the equation of the straight line and the equation y = 2 of the straight line BC, and the coordinate is ((2-m) / 2,2). Please draw the picture and you can see that the rectangle is cut into two trapezoids, and the area of one of them is [(2-m) / 2-m / 2] × 2 / 2 = 1-m, According to the meaning of the title, it should be equal to 4, that is, 1-m = 4, M = - 3
To verify, when m = - 3, the coordinates of the intersection point between the linear equation y = 2x-3 and BC are (2.5,2), and the intercept on the x-axis is 1.5, then the trapezoid area of the upper half is (1.5 + 2.5) × 2 / 2 = 4, and the result is correct