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The seventh grade first volume mathematics final examination paper
First, multiple-choice questions (2 points for each small question, 20 points)

The reciprocal of 1 -1 Yes (a)

A.-1b.1c.0d. does not exist.

2. The following algebraic expression:, -xy, 0, x+2y, y, where the monomial is (c).

1。

3. Light-year is the unit of distance in astronomy, and L light-year is about 9.5 billion kilometers. This data is expressed in scientific notation as (b).

A.0.95×1013km B.9.5×10/2km C.95×101km D.950.

4. In the following formula, the one that is not the same item is (b)

A.-2xy3 and 5xy3b.a2b and 5ab2c.2 and d.-xy2 and y2x

5. Which of the following operation symbols is filled in the position of the port (A port B) in the box of the formula, and the calculated value is the smallest.

(1)

A.+ B.- C.× D

6. The following calculation is correct (C)

A.3a+2b=5ab B.-2a2b+3ab2=a2b2

C.D.3x2-4x5=-x3

7. There is 12 m long wood, so it is necessary to make a window frame as shown in the figure. If the length of the window frame track is assumed to be x meters, the area of the window frame is (a).

a . x(6-x)m2 b . x( 12-x)m2 c . x(6-3x)m2 d . x(6- 1.5x)m2

9. According to the program shown in the figure, if the value of n is 2 at the beginning of input, the final output result is (a).

2 1 D.23

10. After the renovation of Huang Chao Hotel, it is planned to lay a red carpet on the main staircase of the main hall. It is known that the price of this carpet is 30 yuan /m2, the width of the main staircase is 2 m, and its side is as shown in the figure. Therefore, at least (d) is needed to buy carpets.

A.270 yuan B. 540 yuan C. 60 yuan D. Unable to calculate.

Fill in the blanks (3 points for each small question, 24 points)

11.On October 25th, 2009, the temperature in Suzhou was 18℃ in the morning, which increased by 4℃ at noon and decreased by 10℃ at night, so the night temperature in Suzhou was _ _12.

12. The difference between the half squares of a and b is expressed as _ _ _ A/2-B _ _ _ _.

13.2A has a single coefficient of _ _ 2 _ _ and a degree of _ _ 1 _ _.

15. As shown in the figure, the area of the shaded part in the figure is _ _ _ 20 _ _ _ _.

16. The result of simplifying 4 (a2b-2ab2)-(a2b-2ab2) is _ _ _ 3 (a2b-2ab2) _.

17. If A and B are antonyms and C and D are reciprocal, then the value of algebraic formula 2009 (A+B) 3-(CD) 20 10 is _ _ 0 _ _.

18. Observe the following figures composed of small cubes with a side length of L, and look for the rules: Figure 1 * * * has 1 small cubes, where 1 is visible and 0 is invisible; In Figure 2, * * * has 8 cubes, 7 of which are visible, 1 is invisible; There are 27 cubes in Figure 3, of which 19 is visible and 8 are invisible ... So in Figure 6, there is _ _ _15 _ _, and the invisible cube is _ _ _ _18.

Third, answer the question (this question is ***8 small questions, 56 points)

19. Calculation:

( 1)(-7)+(+25)-(- 15);

=

20.(6 points) In class, Teacher Wang gave us a question: When x =- 1, find the algebraic value. Xiao Ming looked, "It's too complicated, how to calculate it?" Can you help Xiaoming solve this problem? Please write down the specific process.

2 1.(6 points) The sum of the cubic polynomial x2-xy and another algebraic expression is 2x2+xy+3y2. Find this algebraic expression.

22.(6 points) The rules of a game are as follows: ① Each person takes 4 cards at a time, and if the drawn cards have the same shape, then add the numbers on the cards; If the drawn cards look alike, subtract the numbers on the cards; ② Compare the calculation results of four cards drawn by two people, and the winner is the one with the largest result.

23.(6 points) The postman starts from the post office by bike, first drives 2 kilometers south to reach Village A, then 3 kilometers south to reach Village B, then 9 kilometers north to reach Village C, and finally returns to the post office.

(1) Take the post office as the origin, the north direction as the positive direction, and draw a number axis with l cm as 1 km. On this number axis,

Draw points on the map and point out the locations of villages A, B and C. 。

(2) How far is Village C from Village A?

(3) What is the distance traveled by the postman?

24.(6 points) During the Eleventh Golden Week, the number of tourists received by Xiangcheng's "Lotus Pond Moonlight" scenic spot during the seven-day holiday changed as follows (a positive number means more people than the previous day, and a negative number means less people than the previous day):

date

1 day

2

the third day

fourth

fifth

sixth

Seventh session

Quantity change/ten thousand people

+ 1.6

-0.8

+0.4

+0.5

-0.8

+0.2

-0.6

(1) If the number of tourists on September 30th is marked as A, the number of tourists on 10/October 2nd is _ _ _ _ _ _.

(2) Please judge that the day with the largest number of tourists in seven days is _ _ _ _ _ _ _, and the day with the least number of tourists is _ _ _ _ _ _ _.

(3) Let the number of tourists on September 30th be 0: 00. In the picture below, the number of tourists in these seven days is represented by a dotted line statistical chart.

Change.

25.(8 points) A school is going to organize some teachers to travel to Hangzhou. Now it has contacted two travel agencies, A and B. Both travel agencies offer 400 yuan/person, and both travel agencies have introduced preferential measures for groups with more than 10: Travel agency A will give each tourist a 15% discount; Travel agency b exempts 1 team leader teacher, and other teachers get a 20% discount.

(1) If the teacher attending the lecture tour has X (x >; 10), then the cost of travel agency a is _ _ _ _ _ _ _ ten thousand yuan.

(2) If a school organizes 17 teachers to travel to Hangzhou, please explain why the school chooses which travel agency with high cost performance.

(3) If you plan to travel for five days in the month of 10, and the date of the middle day is A, then the sum of these five days is _ _ _ _ _ _ _ (represented by algebra with A, simplified), if the sum of these five days is 30.

When can I start (please write a simple solution)?