Please recommend some math workbooks suitable for junior one students.

Seventh grade (on) math final review test

Name _ _ _ _ _ _ _ Student ID _ _ _ _ _

1. Multiple choice questions (2 points for each small question, 20 points for * * *)

1. A point starts from the origin on the number axis, moves 3 units to the right, and then moves 7 units to the left. At this point, the number corresponding to this point is ().

A.3 B. 1 C. -2 D. -4

2. Rational number A is equal to its reciprocal and rational number B is equal to its inverse, so a2007+b2007 is equal to ().

A. 1 B. - 1 C

3. if a and b satisfy a+b >; 0, ab<0, the following are correct ()

A.| a | >； | b | b When a>0, b<0, | a |>| b | C. | a |< is a

4. Rotate the figure below once around the straight line L, and you can get the three-dimensional figure shown on the right ().

5. It is known that (m-3) x | m |-2 = 18 is a linear equation about, then ().

A.m=2 B. m=-3 C. m= 3 D. m= 1

6. As shown in the figure, two people walk in the direction of A → B → C → D → A along a square with a side length of 90m. A walks at a speed of 65m/min from point A, and B walks at a speed of 72m/min from point B. When B catches up with A for the first time, it will be in the square ().

Next to A. AB, next to B. DA, next to C. BC, next to d.cd

7. In the figure below, the expanded diagram of the cube is ().

A B C D

8. The statistical chart that can vividly represent the changes in the stock market is ()

A. Bar chart B. Line chart C. Fan chart D. Both are acceptable.

9. As shown in the figure, OB and OC are any two rays of ∠AOD, OM bisector ∠ AOB and ON bisector ∠COD. If ∠MON=α and ∠BOC=β, the algebraic expression of ∠AOD is ().

A.2α-β B.α-β C.α+β D. None of the above are correct.

10. As shown in the figure, fold a rope into line segment AB and cut the rope from point P, and it is known that AP= 12 PB. If the longest length of the cut rope is 40cm, then the original length of the rope is ().

A. 30cm b.60cm. 120cm d.60cm or120cm.

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

1 1. Known numbers A-2 and 2A-3.

(1) If these two numbers are opposite, the reciprocal of A is _ _ _ _ _ _, and the opposite number is _ _ _ _ _.

(2) If the absolute values of these two numbers are equal, the reciprocal of A is _ _ _ _ _ _, and the opposite number is _ _ _ _ _.

12. It is indicated on the drawing that the diameter of a part is 20 (unit: mm), which means that the maximum size required for machining the part is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

13. The number recorded as 2.006× 106 in scientific notation is _ _ _ _ _ _ _ _ _ _ _.

14. If | x-y | = y-x, | x | = 3, | y | = 4, then (x+y) 3 = _ _ _ _ _.

15. Given that the solution of equation 3a-x = x2+3 about x is 4, then-a2-2a = _ _ _ _ _ _ _.

16. If the plane of a geometric figure composed of several small cubes is as shown in the previous left figure, the geometric figure is composed of _ _ _ _ _ _ _ _.

17. _ _ _ _ _ boxes = 45,7753' 26 "+33.3 = _ _ _ _ _.

18. If ∠AOB+∠BOC= 180o, the bisectors of ∠AOB and ∠BOC intersect into _ _ _ _ _ _ _ _.

19.6.4349 The divisor accurate to 0.0 1 is _ _ _ _ _ _ _ _

20. It is known that a and b are reciprocal, so a+2a+3a+…+49a+50a+50b+…+3b+2b+b = _ _ _ _ _ _.

Three. Calculation problem.

2 1. (4 points for each small question, ***8 points)

( 1) (2)

22. Solve equations. (4 points for each small question, * * * 8 points)

( 1)5(x- 1)-2(x+ 1)= 3(x- 1)+x+ 1(2)0.02 x 0.03+ 1 =-0. 18x+0. 180. 12- 1.5-3 x2

Four. Solve the problem.

23.( 1) If the hour hand turns from 2: 30 to 2: 55, what angle does the minute hand turn with the hour hand? (2 points)

(2) What is the degree of the acute angle formed by the hour hand and the minute hand at 2 o'clock 15? (3 points)

24. as shown in the figure, let L = AB+AD+CD, M = BE+CE, and N = BC. Try to compare the sizes of m, n and l and explain the reasons. (6 points)

25. The following figure shows three views of a geometric figure.

Front view, left view, top view

(1) Name the geometry. ( 1)

(2) Draw its surface development diagram. (1 min)

(3) If the width of the front view is 4cm, the length is 15cm, the width of the left view is 3cm, and the length of the hypotenuse in the top view is 5cm, what is the sum of all sides in this geometry? What is its surface area? What is its volume? (3 points)

26.(6 points) As shown in the figure, there are two points on the line segment AB: m, n, AM: MB = 5: 1 1, An: NB = 5: 7, and Mn = 1.5. Find the length of AB.

27.(6 points) Party A and Party B go in the same direction. Party A rides at the speed of 18km/h, he walks for two hours first, and then Party B sets out. After 3 hours, Party B walked half as far as Party A, so we can find out Party B's speed.

28.(6 points) A classmate found that the unit price of his favorite walkman was the same in two supermarkets, A and B, and so was the unit price of his schoolbag. The sum of the unit price of the walkman and the schoolbag is 452 yuan, and the unit price of the walkman is 4 times less than that of the schoolbag. 8 yuan.

(1) What is the unit price of the walkman and schoolbag that students like?

(2) One day, the students went out to the street just in time for the merchant's promotion, and all the goods in Supermarket A were 20% off. Supermarket B returned the shopping vouchers to 30 yuan for sale when the total shopping cost was more than 100 yuan (less than 100 yuan, which is common for shopping vouchers), but he only brought 400 yuan money. If he only bought these two things in one supermarket, can you explain which one he would choose to buy? If both companies can choose, which one is more economical to buy?

Reference answer

I. Multiple choice questions

1.D 2。 C 3。 B 4。 C 5。 B 6。 B 7。 B 8。 B 9。 A 10。 D

Step 2 fill in the blanks

1 1.( 1), (2) 1 or-1 or

12.0.02mm 0.03mm inching: the standard size is 20mm, +0.02mm means the diameter of the part is not more than 0.02mm, and -0.03mm means not less than 0.03mm.. ..

13.2006000

14.343 or 1

15.- 15

16.9 or 5

17., 1 1 10 1 1ˊ26"

18. Right angle or acute angle

19.6.436.435 Dialing: use rounding method to get approximate numbers, and start rounding from the next number to be reserved. You can't round from back to front.

20.0

Three. Computational problem

2 1.( 1) Solution formula =

(2) Solve the original formula =

22. solution: (1) x =-5.

(2) The original equation can be changed to: remove the denominator to get 40x+60 = 5 (18-18x)-3 (15-30x), and remove the brackets to get 40x+60 = 90-90x-45+90x.

Hugging: The trouble with this problem is that both the numerator and denominator in the equation have decimals. Using the basic properties of fractions, the numerator and denominator can be enlarged or reduced by the same multiple at the same time, while the fractional value remains unchanged, so decimals can be converted into integers.

Step 4 solve the problem

23. Solution: (1)

24. Solution: l>m> Cause: The line segment between two points is the shortest.

25. Solution: (1) This geometric figure is a triangular prism.

(2) Its surface development diagram is as shown in the figure.

(3) The sum of all sides of this geometry is: (3+4+5)×2+ 15×3=69(cm).

Its surface area is 2× 3× 4+(3+4+5 )×15 =192 (cm2).

Its volume is ×3×4× 15=90(cm3).

26. solution: let AM=5x, then MB= 1 1x, because AN:NB=5:7, so AN= AB= x, so x-5x = 1.5, the solution is x=0.9, so ab =/kloc.

27. Solution: Let the speed of B be x km/h, that is, 3x=5× 18×, that is, x= 15.

Verb (abbreviation of verb) Other problems

28. Solution: (1) If the unit price of the schoolbag is X yuan, then the unit price of the walkman is (4x-8) yuan.