Mathematics Test

(Examination time: 120 minutes, full mark: 100)

Class, name, seat number and grade.

I. Fill in the blanks (2 points for each small question, 26 points for * * *)

1、│-7│= .

The reciprocal of 2 is.

3.0.5 19 is accurate to 1%.

4. Calculation: (-1) 2006 =.

5、(-7.5)+6.9 = .

The reciprocal of 6 and -5 is.

7. Expressed by scientific counting method: 457 100 =.

8. The number represented by the point whose distance from the point representing 1 on the number axis is equal to 3 is.

9, given that m < 0, then.

10, if x 2 = 4, then x =.

1 1, contrast size: -3-2.

12, if x = 4 is the solution of the equation ax-2x = 4, then a =.

13, known as:, then.

Second, multiple-choice questions (3 points for each small question, *** 15 points)

14. Among the following approximate figures, the figure with four significant figures is ......................... ().

(A)0.0320(B)0.0032(C)0.3200(D)0.0302

15. Among the following statements, the correct one is ................................ ().

(1) Positive numbers and negative numbers are collectively called rational numbers.

(b) The sum of two opposite numbers is zero.

(c) If the absolute values of two numbers are equal, then the two numbers must be equal.

(D) 0 is the smallest rational number.

16, and the number axis in the figure below is ..................................... ().

17, the scoring rule of football match is to win a game and get 3 points; 1 is a draw; Negative competition gets 0 points,

A team played 14 games, lost 5 games and got 19 points, so this team won ..................................................... ().

(A)3 games (B)4 games (C)5 games (D)6 games.

18, the sum of two numbers is negative and the product is positive. Then these two numbers are .................... ().

(a) Two negative numbers; (b) two positive numbers; (c) One positive and one negative; (d) One is 0.

Iii. Calculate the following questions (5 points for each small question, 20 points for * * *)

19、9+(-2)- 10-(-8) 20、∣-48∣÷8-(-4)×

2 1、-2 4+(-75)÷(-5)2-(-4)×(-3)

22、

Name, seat number

Fourth, solve the following equations (5 points for each small question, *** 10)

23、 24、

Verb (abbreviation of verb) solving problems (8 points for questions 25 and 27, 5 points for questions 26, ***2 1 point)

25. The corresponding points of rational numbers A and B on the number axis are shown in the figure.

(1) Find the points representing -a and -b on the number axis.

(2) try ">", "

①a+B0②│- a │- b│

(3) Use "A, B, -A, -B, 0"

26. Observe the following:

1 3 = 1 2

1 3+2 3 =3 2

1 3+2 3+3 3 = 6 2

1 3+2 3+3 3+4 3 = 10 2

…………………………

According to the above law, write the seventh formula:

27. Shareholder Xiao Li bought 1 000 shares of a company last Friday, and each share was 27 yuan. The following table shows the daily share of this week.

The fluctuation range of the stock (unit: yuan).

Sidereal period 12345

Up and down +4+4.5- 1-2.5-6 per share.

(1) At the close of trading on Wednesday, RMB per share;

(2) The highest price per share this week is RMB, and the lowest price is RMB;

(3) It is known that Xiao Li paid a handling fee of 1.5‰ when he bought the stock, and also paid a handling fee of 1.5‰ when he sold it.

And 1‰ transaction tax. If Xiao Li sells all his stocks at the close of Friday, what is his profit and loss?

Six, column equation to solve application problems (8 points)

28.a fish farm warehouse stores 30 tons of fish, and B warehouse stores 40 tons of fish. Now we need to transport them to these two warehouses.

Send 80 tons of fish, so the stock of fish in warehouse A is 1.5 times that of warehouse B. It should be divided into warehouse A and warehouse B.

Don't transport many tons of fish.

A functional test paper

1. Fill in the blanks: (30 points)

1. Given that the circumference of a rectangle is 24 and one side of it is X, Then the functional relationship between its area Y and X is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

2. Plan to spend 500 yuan to buy basketball. The functional relationship between the total number of purchasable pieces n (pieces) and the unit price a (yuan) is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _, where _ _ _ _ _ _ _ is the independent variable and _ _ _ _ _ _ _.

3. In the function, the value range of the independent variable x is _ _ _ _ _ _ _ _ _ _ _. In the function y= 15-x, the value range of the independent variable x is

4. The following function: ① y = 2x2+x+1② y = 2π r3y = ④ y = (-1) x.

⑤ y =-(a+x) (A is a constant) has _ _ _ _ _ _ _ _.

5. The coordinates of the intersection of the straight line y=3-9x and the X axis are _ _ _ _ _ _ _ _ _ _ _ _ _.

6. If the straight line y = kx+b is parallel to the straight line y = 3x+4 and passes through (1, -2), then k=.

7. If it is known that the image of the linear function y =(m+4)x+m+2(m is an integer) does not pass through the second quadrant, then m =；;

8. The image of linear function y = kx+b passes through points A (0 0,2) and B (- 1, 0). If the image is translated by 2 units along the Y axis, the resolution function corresponding to the new image is:

9. The spring will stretch when it is hung on an object. According to the measurement, the length y(cm) of the spring has the following relationship with the mass x(kg) of the suspended object:

x 0 1 2 3 4 5 6 7 8

y 12 12.5 13 13.5 14 14.5 15 15.5 16

Then the functional relationship between the total length y(cm) of the spring and the mass x(kg) of the suspended object is:

Second, the choice (30 points)

1. In the same rectangular coordinate system, for the function: ① y =–x–1; ②y = x+ 1； ③y =–x+ 1； (4) y =-2 (x+ 1) image, the following statement is correct ().

A, ① and ③ B pass through the point (–1,0), ② and ④ intersect on the Y axis.

C, ① and ③ D are parallel to each other, and ② and ③ are symmetrical about X axis.

2, known function y=, when x=a, the function value is 1, then the value of a is ().

A.3 B.- 1 C.-3 D. 1

3. If the image of function y=kx passes through point P(3,-1), then the value of k is ().

a3 B- 3 c d-

4. In the following function, the image passing through the origin is ()

a . y = 5x+ 1 b . y =-5x- 1 c . y =-d . y =

5. Both point A (–5, y 1) and point B (–2, y2) are on the straight line y =–12x, so the relationship between y 1 and y2 is ().

a、y 1≤y2 B、y 1=y2 C、y 1y2

6. Function y = k (x–k) (k < 0 = no image ().

A, the first quadrant b, the second quadrant c, the third quadrant d and the fourth quadrant

7. To get the straight line y= from the image of y= x, we should put the straight line y= x ().

(a) upward translation by unit; (b) Downward translation by unit.

(c) translate 2 units up; (d) translate 2 units down.

8, a pool of water storage of 20 m3, open the valve after the outflow of 5 m3 per hour, the cubic number of remaining water in the pool after the water Q (m3) and the functional relationship between the water time t (when) is graphically represented as ().

9. it is known that the linear function y=kx+b, y decreases with the increase of x, and kb

(A) (B) (C) (D)

10. After dinner on Sunday, Xiaohong set out from home for a walk. The chart describes the functional relationship between walking time and walking time. According to the picture, the following description conforms to Xiaohong's walking scene ().

(1) Starting from home, I went to a newspaper column, read the newspaper for a while, and then went home.

(b) Start from home, go straight (non-stop) and then go home.

(c) From home, I went to a newspaper column and read the newspaper for a while.

Go for a while, then go home.

(d) Starting from home, I walked a long way to find my classmates. 18 minutes later.

Before starting to return.

Third, answer questions:

The image of linear function y = kx+b passes through points (-2,3) and (1, 3).

① Find the values of k and b; ② Judge whether (-1, 1) is on this straight line?

2. Knowing that the image of a linear function is parallel and passes through the point (2,-1), find the analytical expression of this linear function. And draw the image of linear function.

The starting price of taxis in a city within 3.5㎞ is 8 yuan. For each increase of 1㎞ and 1 yuan in the future, please write down the functional relationship between the taxi distance x㎞ and the charge y yuan, and draw a picture. How much did Xiao Ming pay for taking 10㎞, if Liang Xiao paid it?

A factory in Beijing and a factory in Shanghai made several computers at the same time. The factory in Beijing can support 10 foreign computers, and the factory in Shanghai can support 4 foreign computers. It is now decided to give Chongqing 8 sets and Hankou 6 sets. If the freight rates from Beijing to Hankou and Chongqing are 400 yuan/Taiwan and 800 yuan/Taiwan respectively, then the freight rates from Shanghai to Hankou and Chongqing are 300 yuan/Taiwan and 500 yuan/Taiwan respectively. Q:

(1) Write the functional relationship between the total transportation cost from Beijing to Chongqing X Station and transportation;

(2) If the total freight is 8400 yuan, how many units will be shipped from Shanghai to Hankou?

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