In the plane rectangular coordinate system xoy, the straight line y = x is shifted upward by 1 unit length to obtain the straight line m, the straight line m and the inverse scale function y = K / X (k is not equal to 0) If x / y is not equal to the length of the unit X (m) of a straight line in X (m), then x is equal to the length of a line

In the plane rectangular coordinate system xoy, the straight line y = x is shifted upward by 1 unit length to obtain the straight line m, the straight line m and the inverse scale function y = K / X (k is not equal to 0) If x / y is not equal to the length of the unit X (m) of a straight line in X (m), then x is equal to the length of a line

When the ordinate is equal to 2, a = 1, that is, the intersection point is (1,2), and because k = XY, k = 2

In the plane rectangular coordinate system xoy, the straight line y = KX is translated up 2 units along the Y axis to obtain the line I. the straight line L passes through the point a (- 4,0) Let l intersect the y-axis, take a point C (OC > 2) on the positive half axis of the x-axis, and take D on the negative half axis of the y-axis so that OD = OC. Make a straight line DH ⊥ BC at h and cross the x-axis at e through D, and find E

As shown in the figure ∵ the straight line y = KX is shifted upward by two units to get the straight line: y = KX + 2

In the plane rectangular coordinate system, the straight line y = 2x is translated downward by 1 unit length to obtain the line L. the intersection point of the line L and the image of an inverse scale function is (2a, 4-A). Find the analytic expression of this inverse proportional function

Let the inverse proportional function y '= KX', move down one unit from the straight line y = 2x, we can know that the equation L is y = 2x-1 crossing point (2a, 4-A)
4-A = 2 (2a) - 1 gives a = 1
Substituting point (2,3) into y '= KX' yields
3=2k,k=3/2
So the analytic formula is y = 3 / 2x

In the plane rectangular coordinate system xoy, the straight line y = - x is rotated clockwise by 90 ° around the point O to obtain the straight line L, the straight line L and the inverse scale function y = K If an intersection of the image of X is a (a, 3), then the analytic expression of the inverse scaling function is______ .

From the line y = - x rotating clockwise 90 ° around point O, the equation of line L is y = X,
Substituting a coordinate (a, 3) into y = x, a = 3, i.e. a (3, 3),
By substituting x = 3, y = 3 into the inverse proportion analytic formula, 3 = k is obtained
3, that is, k = 9,
Then the analytic expression of inverse proportional function is y = 9
x．
So the answer is: y = 9
X

In the plane rectangular coordinate system, the straight line y = x is shifted upward by 1 unit length to obtain the straight line L. the linear L and the inverse scale function y = k of X are obtained In the plane rectangular coordinate system, the straight line y = x is shifted upward by 1 unit length to obtain the line L. If the intersection point of the line L and the image of the inverse scale function y = x / K is a (a, 2), then the value of K is equal to ()

If the straight line y = x is shifted upward by 1 unit length to obtain the line L, then the expression of the line L is y = x + 1,
Substitute A (a, 2) into y=x+1, and get
a+1=2
A=1
So, the coordinates of point a are (1,2),
By substituting a (1,2) into y = K / x, the
k/1=2
K=2
Then K is equal to (2)

In the plane rectangular coordinate system xoy, the straight line y = - x is rotated clockwise by 90 ° around the point O to obtain the straight line L, the straight line L and the inverse scale function y = K If an intersection of the image of X is a (a, 3), then the analytic expression of the inverse scaling function is______ .

From the line y = - x rotating clockwise 90 ° around point O, the equation of line L is y = X,
Substituting a coordinate (a, 3) into y = x, a = 3, i.e. a (3, 3),
By substituting x = 3, y = 3 into the inverse proportion analytic formula, 3 = k is obtained
3, that is, k = 9,
Then the analytic expression of inverse proportional function is y = 9
x．
So the answer is: y = 9
X

In the plane rectangular coordinate system xoy, after the straight line y = KX is translated up by 3 units, the inverse scaling function y = k is obtained An intersection point of X is a (2, m). Try to determine the analytic expression of straight line and inverse scale function after translation

The analytical formula after translating the straight line y=kx upward by 3 units is y=kx+3, (1 point)
∵ point a (2, m) is a straight line y = KX + 3 and a hyperbola y = K
The intersection of X,
Qi
m＝2k+3
m＝k
2 (2 points)
K = - 2. (3 points)
The analytical formula of straight line after translation is y = - 2x + 3, and the analytic formula of inverse scale function is y = − 2
x. (5 points)

The straight line y = x is shifted to the left by 1 unit length to obtain the straight line α. As shown in the figure, the straight line α and the inverse scale function y = 1 If the image of X (x > 0) intersects a and X axis intersects B, then oa2-ob2=______ .

X = 1 unit of linear translation to the left,
∴OB=1，
The analytic formula of line AB is y = x + 1,
Let the coordinates of a (x, y) satisfy the equations
Y＝X+1
Y＝1
X ，
∴x2+x-1=0，
∴x2+x=1，
However, oa2 = x2 + y2 = x2 + (x + 1) 2 = 2x2 + 2x + 1 = 3,
∴OA2-OB2=2．
So the answer is: 2

In the plane rectangular coordinate system, after translating the straight line y = x to the left by one unit length, why is the analytical formula of the straight line not, y = X-1 Isn't it right plus left minus?

Left plus right minus, so y = x + 1

In the plane rectangular coordinate system, after translating the straight line y = 2x-1 to the right by four length units, what is the analytical formula of the straight line

In the plane rectangular coordinate system, after translating the straight line y = 2x-1 to the right by four length units, what is the analytical formula of the straight line
Moving the line to the right by 4 units is equivalent to moving the coordinate system to the left by 4 units. The abscissa on the line becomes the coordinate x + 4,
therefore
y=2(x+4)-1
y=2x+7