_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
First, fill in the blanks. (2 points for each question, ***24 points)
1. if the point (a, 3) is on the y axis, then A = _ _ _ _ _ _ _ _ _ _ _ _ _
2. The coordinates of the point where the point (-2,3) is symmetrical about the origin are _ _ _ _ _ _ _ _ _ _ _ _ _;
3. The distance from the point (3,4) to the origin is _ _ _ _ _ _ _ _ _ _;
4. The value range of the independent variable X in the function y= x/x+ 1 is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _;
5. If the point (3, 1) is on the hyperbola y= kx, then k = _ _ _ _ _ _ _ _ _ _ _ _
6. Translate the straight line y=3x- 1 along the y axis 1 unit, and the analytical formula of the straight line is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _;
7. If point A (3, y 1) and point B (-3, y2) are on the straight line y=-x+ 1, then the relationship between y 1 and y2 is:
Y1_ _ _ y2 (fill in ");
8. If the image of y= kx is in the second quadrant and the fourth quadrant, the value of k can be _ _ _ _ _ _ _ (fill in a qualified k value);
9. A fish pond has 150m3 water. Plan to drain the old water and replace it with new water. It is known that the pump pumps x m3 per hour as * * *.
Y hours, then the functional relationship between y and x is _ _ _ _ _ _ _ _ _ _ _ _;
10. The coordinate where the straight line y=2x-6 intersects the X axis is (_ _ _ _ _ _ _ _ _ _);
1 1. On the right is the plan of a school. If the laboratory building is there, sit down.
Marked as (-2, -3), the coordinates of the teaching building are (-1, 2),
Then the location coordinates of the library are (_ _ _ _ _ _);
12. The wavelength l and frequency f of radio dial are marked in meters (m) and kilohertz (kHz) respectively, and the relationship between wavelength l and frequency f is f = 300000 l, indicating that the greater the wavelength l, the more _ _ _ _ _ _ _ _ _ _ _.
Second, multiple choice questions. (3 points for each question, *** 18 points)
13. If a > 0, the point (-a, 3) is ........................................................ ().
A. in the first quadrant B. in the second quadrant C. in the third quadrant D. in the fourth quadrant
14. As shown in the figure, in the rectangular coordinate system, the vertex A of □OABC is (1, 3).
C is (5,0), so the coordinate of B is ................................. ().
A.(6，3) B. (5，5) C. (4，3) D
15. Among the following conclusions about straight line y=-2x+ 1, ............................................ () is correct.
A. the image must pass through the point (-2,1) b. The image passes through the first, second and third quadrants.
C. when x > 12, y < 0 d. y increases with the increase of x.
16. Among the following statements about the inverse proportional function y = 3x, the correct one is ……………………………………………………………………………………………………………………………………………………….
A.y increases with the increase of x, and B. y decreases with the increase of x.
C. the image is located in two or four quadrants. D. when x > 0, y decreases with the increase of x.
17. As shown in the figure, A and C are any two points on the image of the function y = 1x (x > 0) and pass through point A..
Make y-axis vertical line, vertical foot is b, intersection point c is y-axis vertical line, vertical foot is d,
If the area of Rt△AOB is S 1 and the area of Rt△COD is S2, then ().
A.S2 b . S2
The relationship between c. s 1 = S2 d. s 1 and S2 cannot be determined.
18. On Sunday, several students went for an outing and were caught in heavy rain on the way. In the process of sheltering from the rain, Zhang Qiang found that the water level of the small canal on the roadside was constantly changing. The process is that the water level rises after 15 minutes, and it rises even faster after 30 minutes. After 45 minutes, the water level began to drop because of the rain, 18. In the picture below, it is ........................................................................................................................................................................
A.B. C. D。
Third, answer the following questions. (***52 points)
20.(7 points) "Tortoise and Rabbit Race" is a fable that students are familiar with. As shown in the figure, it shows the relationship between the fable distance s between the tortoise and the rabbit and the time t (where the straight line segment represents the tortoise and the dotted line segment represents the rabbit). Look at the picture and answer the questions.
(1) In the competition, the rabbit * * * slept for _ _ _ _ _ _ minutes.
(2) The average speed of the tortoise in this competition is _ _ _ _ _ _ _ m/min.
(3) The tortoise arrived at the finish line _ _ _ _ _ _ minutes earlier than the rabbit.
(4) Write a conclusion according to the information in the picture: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
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2 1.(7 points) It is known that Y is proportional to x+2, and when x= 1, y= -6.
(1) Find the functional relationship between Y and X (2) If the point (a, 2) is on this function graph, find the value of A. ..
22.(7 o'clock) It is known that the straight line L passes through points (-1, 4) and (2, 7).
(1) Find the analytical formula of the straight line L. (2) Judge whether the point (3,8) is on the straight line L. ..
23.(7 points) The image of linear function y=2x-2 and the image of inverse proportional function y= k/x intersect at point M(2, a).
Two points of N(b, -4).
⑴ Find the analytical formula of inverse proportional function.
⑵ Write the range of x when the inverse proportional function is greater than the linear function according to the image.