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Zhejiang mathematics junior two examination paper
There are 12 and 6 machine tools in city a and city b respectively, and they are now shipped to city c 10 and 8 in city B. Well, it costs 40,000 yuan and 80,000 yuan to transport one from City A to City C and City D respectively, and 30,000 yuan and 50,000 yuan to transport one from City B 1 to City C and City D respectively.

(1) Let City B transport to Station X in City C, and find the functional relationship between total freight Y and X.

(2) Well, the total freight does not exceed 900,000 yuan. How many transportation schemes are there?

(3) What is the lowest cost of finding the transportation scheme with the lowest total freight?

First, multiple-choice questions:

1. If the image of the proportional function y=kx passes through one or three quadrants, the value range of k is ().

A.B. C. D。

2. The candle is 20cm long and burns 5cm every hour after lighting. The functional relationship between the residual height y(cm) and the combustion time x (hours) is graphically represented as ().

3. (Beijing) The quadrant that the image of a linear function does not pass through is ()

A. first quadrant B. second quadrant C. third quadrant D. fourth quadrant

4. The area of triangle surrounded by straight line, X axis and Y axis is ()

A.3 B. 6 C. D

5. The approximate image of (Hainan Province) linear function is ()

Second, fill in the blanks:

1. If the image of a linear function y=kx+b passes through (0, 1) and (-1, 3), then the analytical expression of this function is _ _ _ _ _ _ _ _.

2. If the image of the proportional function y=kx passes through the point (1, 2), the analytical formula of the function is _ _ _ _ _ _ _ _ _.

Third,

The intersection point between the image of the linear function and the Y axis is (0, -3), and the area of the triangle surrounded by the coordinate axes is 6. Find the analytical expression of this linear function.

IV. (Wuhu Curriculum Reform Experimental Zone)

The functional relationship between the mechanical efficiency η of a diesel locomotive measured before the trial operation of the Qinghai-Tibet Railway and the altitude h (,unit km) is shown in the figure.

(1) Please write the functional relationship between locomotive mechanical efficiency η and altitude h(km) according to the image;

(2) What is the mechanical efficiency of locomotive running at an altitude of 3km?

Verb (abbreviation of verb) (Lishui City, Zhejiang Province)

As shown in the figure, the plane rectangular coordinate system of badminton match scene is established. In the figure, the height OD of the net is 1.55 m and the length OA=OB=6.7 (m). Badminton players take off at point C, which is 5 m away from the net. The ball flies straight from point E at the top of the net, with a DE of 0.05 m, which just lands at the B position of the opponent's court.

(1) An analytical formula for finding the straight line of badminton flight path;

(2) What is the height FC of the hitting point of the badminton racket from the ground in this straight spike? (The result is accurate to 0. 1 m)

Fill in the blanks

1.(-3,4) The coordinates of the point on the axis of X are _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

Symmetrical coordinates about the origin are _ _ _ _ _ _ _.

2. The distance from point B (-5, -2) to the X axis is _ _ _ _, the distance to the Y axis is _ _ _ _, and the distance to the origin is _ _ _ _.

3. With the point (3,0) as the center, the coordinates of the intersection of the circle with radius of 5 and the X axis are _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

The coordinates intersecting the Y axis are _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

4. If point P (a-3,5-a) is in the first quadrant, the range of value of A is _ _ _ _ _ _ _ _.

Xiaohua bought a commodity with a unit price of 3 yuan with 500 yuan, and the remaining money was Y (yuan) and the number of pieces of this commodity was X (pieces).

The functional relationship between them is _ _ _ _ _ _ _ _ _, and the value range of x is _ _ _ _ _ _ _ _.

6. The value range of the independent variable X of the function y= is _ _ _ _ _ _ _ _

7. When a=____, the function y=x is a proportional function.

8. The image of function y =-2x+4 passes through _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

The circumference is _ _ _ _ _

9. The image of linear function y = kx+b passes through the point (1, 5) and intersects the Y axis at three places, then k=____, and b=____.

10. If the point (m, m+3) is on the image of the function y =-x+2, then m=____

1 1.y is proportional to 3x. When x=8 and y =- 12, then the resolution function of y and x is _ _ _ _ _ _ _.

12. The image with function y =-x is a straight line passing through the sum of the origin and (2, _ _ _), and the straight line passes through the _ _ _ quadrant.

When x increases, y follows _ _ _ _ _

13. Function y = 2x-4, when x _ _ _ _ _ _ y

14. If the area of the triangle surrounded by the image of the function Y = 4x+B and the two coordinate axes is 6, then b = _ _ _ _

2. Multiple choice questions:

1, the following statement is true ()

A, the proportional function is a linear function; B, linear function is proportional function;

C. The proportional function is not a linear function; D is not a linear function if it is not a proportional function.

2, the following two variables are proportional to the change is ()

A, the area of the square and its area; B, the variable x increases, and the variable y also increases;

C, the side lengths of one set of opposite sides of a rectangle are fixed, and the perimeters are the same as those of the other set of opposite sides;

D, the circumference and radius of a circle

3. If the straight line Y = KX+B passes through the first, second and fourth quadrants, then k and b should satisfy ().

a、k & gt0,b & lt0; b、k & gt0,b & gt0; c、k & lt0,b & lt0; d、k & lt0,b & gt0.

6. It is known that the image of linear function y = (m+2) x+m-m-4 passes through point (0,2), then the value of m is ().

A, 2 B, -2 c, -2 or 3 D, 3

7. The position of the straight line Y = = KX+B in the coordinate system is shown in the figure, and the resolution function of this straight line is ().

a、y=2x+ 1 B、y=-2x+ 1 C、y=2x+2 D、y=-2x+2

8. If the symmetry point of point A (2-a, 1-2a) about the Y axis is in the third quadrant, the range of value of a is ().

A, a<b, a>2 C,<a<2 D, a< or a>2.

9. In the following relationship, the function that y is directly proportional to x is ().

a、y= B、y= C、y=x+ 1 D、y=2x

10, the coordinate where the functions y = 4x-2 and y =-4x-2 intersect is ().

a 、(-2,0) B 、( 0,-2) C 、( 0,2) D 、( 2,0)

3. For the image with known linear function, the analytic expression of linear function can be found through point A (- 1, 3) and points (2, 3) and (1); C(-2) judges whether the point c (-2,5) is on the function image.

4. It is known that 2Y-3 is proportional to 3x+ 1, and when x=2, Y = 5. (1) Find the functional relationship between Y and X, and point out what function it is; (2) If point (a, 2) is on the image of this function, find a. 。

5. For the image of the linear function, the abscissa of the intersection m with the straight line Y = 2x+ 1 is 2, and the ordinate of the intersection n with the straight line Y =-x+2 is 1. Find the analytical expression of this linear function.

It is known that the straight line L passes through A (- 1, 0) and B (2, 3), and the other straight line passes through point B and intersects the X axis at (m, 0).

(1) Analytical formula for finding straight line L (writing process)

(2) The area of Northrop triangle APB is 3, and the value of m is found (writing process).

1. The steps to make a function image are _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

2. In Cartesian coordinates, the point not on the straight line y=-x+3 is ().

A.( 1,2) B.(2, 1) C.(3,0)d .(4,- 1)

3. After a little, the straight line of (0, -5) is ()

a . y = x+5 b . y = x-5 c . y = 2x+5d . y =-2x+5

4. The * * of the proportional function y=-4x, y= 12x and y=3 1x is ().

A. the images are in the same quadrant.

B. The images all pass through the origin.

C.y increases with the increase of x.

D.y decreases with the increase of x.

5. If point A (1, m) is on the image of function y=2x, then the coordinate of the point where point A is symmetrical about y axis is _ _ _ _ _ _.

6. It is known that the image of function y=ax+2a passes through point (2, b), and the value of b is _ _ _ _ _ _.

7. If the image of the function y=mx-(4m-4) passes through the origin, then m = _ _ _ _ _ _ _

If the focus of the straight line y=3x- 1 and y=x-k is in the fourth quadrant, find the range of k.

A lot. . I hope I can get extra points if I am satisfied, O(∩_∩)O~