Name and student number score
Note: 1, the content of this volume is the first chapter of Grade 7 of Zhejiang Education Press;
2. The examination time of this volume is 45 minutes;
3. The test paper is divided into basic questions 100, and the question type is improved by 20 points.
Choose one carefully first (3 points for each question, * * * 36 points).
1. If it is 20 meters above sea level, mark it as +20 meters, then -30 meters is (b).
(a) less than 30 meters; (b) 30 metres below sea level; (c) 30 meters above sea level; 20 meters below sea level
2. Carefully consider the following quantities:
① Win two games and lose three games; ② The temperature rises by 30℃ and drops by 30℃; (3) the profit is 50,000 yuan, and the expenditure is 50,000 yuan;
④ Increase 10% and decrease by 20%. Among them, the quantity with opposite meaning is (b)
(A) 1 pair (B)2 pairs (C)3 pairs (D)4 pairs
3. The following statement is wrong (c)
(a) Integers and fractions are collectively called rational numbers; (b) Positive scores and negative scores are collectively called scores;
(c) Positive numbers and negative numbers are collectively called rational numbers; (d) Positive integers, negative integers and zero are collectively referred to as integers.
4. Zero is (c)
A. Minimum rational number. B. the smallest positive integer.
C. the smallest natural number. The smallest integer.
5. In the following axonometric drawing, the correct one is (c).
6. In the following logarithm, the opposite number is (c)
(a) and 0.2 (B) and (C)— 1.75 and (d) and 2.
7. The integer * * * greater than -2.6 and less than 3 has (c).
A.7 B. 5 C. 6 D.4
8. The following statement is true (c)
A. If the absolute values of two numbers are equal, they must be equal.
B. If two numbers are not equal, then the absolute values of these two numbers must be different.
If two numbers are equal, their absolute values are equal.
D. the two numbers are larger, and the number with larger absolute value is larger.
9. In winter, the highest temperatures in three cities in China are-10℃, 1℃ and -7℃ respectively. Their correct arrangement from high to low is (c).
A,-10℃, -7℃, 1 0℃.
C, 1 c, -7 c,-10 c
10. If the reciprocal of a number is the largest negative integer, then this number is (b).
(A)- 1(B) 1(C)0(D) 1
1 1. The number represented by a point with a distance of 4 from the number -2 on the number axis is (d).
(a)-6(b)-6(c)-2(d)-6 or 2
12. The absolute value of a number is equal to the number itself, which is (c).
(A)0 (B) positive number (c) non-positive number (d) non-negative number.
Second, fill in a carefully (3 points for each question, 30 points for * * *)
13. If the rising of15m is marked as+15m, then-8m means the falling of15m _ _
14. Write a negative score:-12.
15. A submarine is on a mission at-50m underwater, and a shark just swam 30m above it. The height of this shark is _ _ _-20 meters.
16. Straight line with _ _ _ _ _ _ _ _ _ _ _
17. Fill in the blanks with "":-9 >-1 1.
18. Spot check the length of four parts. Excess is positive and deficiency is negative: (1)-0.3; (2)-0.2; (3)0.4;
(4) 0.05. Then the biggest error is (3). (Fill in serial number)
19. Starting from the origin on the number axis, a point moves three unit lengths to the right, and then moves eight unit lengths to the left to reach point P, so the number represented by point P is _ _-5 _ _ _.
20. The largest integer less than -2.99 is _ _-3 _ _ _ _
2 1. Integers whose absolute value is greater than 3 but not greater than 6 are -6, -5, 4, 4, 5, 6 _ _ _ _ _ _ _ _ _ _ _ _ _ _.
22. On the number axis, the number represented by two unit length points whose absolute value is less than 3 and the distance is -2 is _ _ _ _ 0 _ _ _ _ _.
Third, do it seriously (this question is 4 small questions, ***34 points)
23. (4 points for this question)
=0.25+3* 12
=0.25+36=36.25
24. (4 points for this question)
= 17
25. (This question 12 points) Fill in the serial numbers of the following numbers in the corresponding number set:
① 1 ②- ③+3.2 ④0 ⑤ ⑥-5 ⑦+ 108 ⑧-6.5 ⑨-6 .
(1) positive integer set {① ⑦ ...}
(2) Positive score set {③ ⑤ ...}
(3) Negative score set {② ⑧ ⑨ ...}
(4) Rational number set {1, 2, 3, 4, 5, 6, 7, 8, 9...}
26. (6 points for this question) The following figures are expressed on the number axis.
-4.5, 5, 0, -3, , - 1。
27. (8 points for this question) The taxi driver Xiao Li's operation in the afternoon was all carried out on the East-West Renmin Avenue. If it is correct to specify the East, his mileage (in kilometers) this afternoon is as follows:
+ 15, -2, +5, - 1, + 10, -3, -2, + 12, +4, -5, +6.
(1) How many kilometers did Xiao Yili walk to send the last passenger to the destination?
65 kilometers
(2) If the fuel consumption of the car is 0.2 liters/km, how many liters will Xiao Li * * * consume this afternoon?
65*0.2= 13L
Efforts (5 points for each question, ***20 points)
1. Equation 5-The maximum value that can be obtained is 5, then = 1.
2. Observe the following column number and explore its laws:
(1) What are the seventh, eighth and ninth numbers respectively?
- 17 , 18 , - 19
(2) What is the figure for 2004? If this column number is infinitely arranged, which number is getting closer and closer?
12004 0
3. As shown in the figure, the unit length of the axis in the figure is 1. Please answer the following questions:
(1) If the numbers indicated by point A and point B are opposite, then the number indicated by point C is _ _-1_ _ _ _ _ _.
(2) If the numbers represented by point E and point B are opposite, then the number represented by point D is _ 0 _ _ _ _ _ _. Of the five points represented in the figure, the absolute value of the number represented by point C is the smallest, which is 0.
4. A milk factory has four franchise stores, O, A, B and C, which are on a north-south street. Store A is located 3 kilometers south of Store O; Store B is located 1 km north of Store O, and Store C is located 2 km north of Store O. 。
(1) Please draw a number axis with O as the origin and the north direction as the positive direction. 1 unit length means 1 km. Can you show the positions of O, A, B and C on the number axis respectively?
0 km
A: 3 kilometers.
B:+1 km
C:+2km
(2) What is the shortest distance for the delivery truck of the milk factory to send a truck of milk to three dealerships, A, B and C, and then return to the O store?
2+3+2 = 7 kilometers