Time: 80 minutes. Full score: 120 minutes.

Multiple choice questions (3 points for each question, * * * 30 points)

1 stipulates that northward is positive. If someone walks+5km and keeps walking-10/0km, then this person ()

A went north 15km, and B went south 15km.

C walked five kilometers north and D walked five kilometers south.

2 The following statement is incorrect ()

A has no maximum rational number and b has no minimum rational number.

The negative number of c is the largest, and the rational number of d is the smallest.

3 If the reciprocal of the reciprocal is 1, then this number is ().

A B C-D-

4 The positions of rational numbers A and B on the number axis are known, as shown in Figure a+b ().

A is greater than 0 and b is less than 0.

C equals 0 D, which cannot be determined.

5 Move a point to the right on the number axis by the number 2 represented by 3 unit lengths, then the number originally represented by this point is ().

A 5 B 1 C -5 D - 1

6 The following statement is true ()

① The reciprocal of π is -3. 14 ② Numbers with opposite signs are reciprocal.

The reciprocal of ③-(-3.8) is 3.8 ④ A number and its reciprocal cannot be equal.

⑤ Both positive and negative numbers are reciprocal.

A 0 B 1 C 2 D 3

7 About the number axis, the following statement is incorrect ()

A The absolute value of two rational numbers is larger, and the one that is farther from the far point.

B two rational numbers, the big one is far apart.

C two negative rational numbers are larger and closer to the far point.

Two rational numbers are on the right.

8 Do not change the value of the original formula. Change the subtraction in 6-(+3)-(-7)+(-2) into addition, and write it in the form of omitting the addition ().

A -6-3+7-2 B 6-3-7-2

C 6-3+7-2 D 6+3-7-2

9. The highest temperature (unit:) in Beijing on May 20th10 was 25, 28, 30, 29, 3 1, 32 and 28 respectively, and the average highest temperature this Sunday was ().

A, B, C, D,

10 If x > y > z and x+y+z = 0, it must not be true ().

A x>o，y=0，z0，y>0，z 0y < 0 z > 0D x > 0y < 0 z < 0

Fill in the blanks (3 points for each question, ***30 points)

The reciprocal of11_ _ _ is 2.

The number whose absolute value of 12 is equal to 2.3 is _ _ _ _.

The temperature at which 13 is 6℃ lower than -3℃ is _ _ _ _.

On the 14 axis, the number represented by point A is -4, and the distance from point B to point A is 5, so the number represented by point B is _ _ _ _ _.

15 comparison size-∣-∣ _ _ _ _-

Integers whose absolute value of 16 is greater than 1 less than 4 are _ _ _ _ _ _ _ _, and their sum is _ _ _ _ _.

17 The height of the submarine is -60m, and the shark is 20m above the submarine, so the height of the shark is _ _ _ _ _.

The number of 18 whose absolute value is equal to itself is _ _ _ _ _, and the number whose opposite number is equal to itself is _ _ _ _ _.

19 This neither correct nor irresponsible number is _ _ _ _ _.

If is 20, the relationship between and is.

Three solutions (***60 points)

2 1 calculation problem (5 points for each small question, ***25 points)

①(+7)+(-4)-(-3)-(+ 14) ② 8+(- )-5-(+0.25)

③-8.2- 1.6+ 13.6+9.2-5 ④(5- )-( 10- )

⑤

22 represents 3, -(+2),-,0 on the number axis, and these numbers are arranged in descending order. (6 points)

23 It is known that ∣x-3∣-∣y- ∣=0, so find the value of 3x+2y-2. (6 points)

It is known that the inverse of A is the largest negative integer, B is the rational number with the smallest absolute value, and C is a positive number with an absolute value equal to 20 10. Find the inverse of A+B+C b+c. (7 points)

One afternoon, a taxi started from the Drum Tower, running in the east-west direction, due east and negative west. The mileage (in km) is recorded as follows: +9, -3, -5, -4, -8, -6, -3, -6, -4,-10. (8 points)

Question: (1) Take the last passenger to the destination. How far is the taxi from the starting point of Drum Tower? Which direction is the Drum Tower? (4 points)

(2) If the price per kilometer is RMB, what is the driver's turnover in one afternoon? (4 points)

On May 26th, 2065, Mr. Lin bought 7,000 shares of the company, each with a par value of 27 yuan. The following table shows the month (8 points).

Daily stock price rises and falls from 22nd to 27th (unit: RMB) (the stock price rises and falls shall be subject to the closing price of the previous day).

Dates 22nd 23rd 24th 25th 26th 27th

Up and down +4+4.5- 1-2.5-6+2

Question: (1) When is the par value of the stock the lowest? How much is it at the end of the day? (4 points)

(2) If Mr. Lin buys all the stocks at the close of the 27th, will Mr. Lin make money or lose money, and how much will he make or lose? (4 points)