I. Fill in the blanks (2 points for each question, 20 points for * * *)

1. The cold storage of food processing factory can reduce the temperature of refrigerated food by 5℃ per hour. If the temperature of beef just put into storage is 10℃, the temperature can reach _ _℃ after 8 hours.

2. When cleaning up the classroom at the beginning of school, the teacher always puts the front and last desks in each column first, then puts the middle desks in turn, and then arranges a column of desks in a row in a short time. This is because _ _ _ _ _ _ _.

3. Calculation: -5× (-2) 3+(-39) = _ _ _.

4. The divisor of1.460×105 is accurate to _ _ _ _, and the effective number is _ _ _ _.

This year, my mother is 30 years old and my son is 2 years old. After _ _ _ _ _, the mother's age is five times that of her son.

6. Place the dining table and chairs as follows:

Number of tables 1 234...n

Seats 6 8 10 ...

7. Calculate 72 35 ÷ 2+18 33 ÷× 4 = _ _ _ _ _.

8. Given that point B is on the line AC, AB=8cm, AC= 18cm, and P and Q are the midpoint of AB and AC respectively, PQ = _ _ _ _ _ _

9. As shown in the figure, A, O and B are three points on the same straight line, OC, OD and OE are three rays drawn from point O, and ∠1:∠ 2: ∠ 3: ∠ 4 =1:2: 3: 4.

(9 maps) (10 maps)

10, as shown in the figure. At 8: 00 a.m., Ship A measured that Lighthouse S was 60 northeast and sailed eastward until noon 12. The ship is at point B, and the lighthouse S is measured at 30 northwest (complete the graph by itself). It is known that the speed of the ship is 20 kilometers per hour, so ASB = _

Second, multiple-choice questions (3 points for each question, ***24 points)

1 1, if a < 0 and b > 0, the largest number among b, b+a and b-a is ().

A, a B, b+a C, B-A D, uncertain

12, (-2) 100 is greater than (-2) 99 ()

a、2 B、-2 C、299 D、3×299

13, known, +=0, then 2m-n = () ()

a、 13 B、 1 1 C、9 D、 15

14. The charging standard of a taxi is: the starting price is 7 yuan (that is, the distance less than 3km needs to pay 7 yuan fare). 2.4 yuan will be charged for every increase of 1km after 3km (if it is less than 1km, it will be calculated as 1km), and someone will take this taxi to pay from A to B 19 yuan. The maximum value of x is ()

a、 1 1 B、8 C、7 D、5

15, as shown in the figure, is an expanded view of a cubic carton. If the three squares A, B, and C are filled with appropriate numbers, so that the two numbers on the opposite faces are opposite to each other after being folded into cubes, then the three numbers filled in the four squares A, B, C, and C are () in turn.

a、 1 、-3、0 B、0 、-3、 1 C 、-3、0、 1 D 、-3、 1、0

16. Given the line segment AB, take a point C on the extension line of AB, make AC=2BC, and take a point D on the reverse extension line of AB, make DA=2AB, then the line segment AC is () times that of the line segment DB. ( )

A, B, C, D,

17, the ratio of the sizes of the two angles is 7∶3, and their difference is 72, so the relationship between the two angles is ().

A, equal b, complementary c, complementary d, uncertainty

18. The angle that cannot be drawn is () an angle with a known degree on a set of triangles.

a、 15 B、 135 C、 165 D、 100

Iii. Answer questions (5 points for each question, 20 points for * * *)

19,4× (-3) 2-13+(-12)-|-43 | .20, calculation

2 1, solving equation:, 22 solving equation:

Four, (5 points for each question, ***20 points)

23. According to the data, the temperature drops by 0.8℃ every time the height in a certain area increases by 100m. Xiao Ming and Xiao Hong came up with a method to measure the height of mountain peaks. Xiaohong is at the foot of the mountain and Xiaoming is at the top of the mountain. At the same time, they measured the temperature at the foot of the mountain at 2.6℃ and the temperature at the top of the mountain at -2.2℃. Do you know the height of the mountain peak?

24. As shown in the figure, it is a geometry made of a small cube tower. Please look from the front, left and top, and try to draw the plan you see.

25. Grade 7 students go for a spring outing. If one bus is reduced, each bus will take exactly 60 people. If one bus is added, each bus can take exactly 45 people. How many students are there in the seventh grade?

26. The following is a problem that Xiao Ma solved.

Topic: If ∠ BOA = 70 and ∠ BOC = 15 on the same plane, find the degree of ∠AOC.

Solution: You can draw a picture according to the meaning of the problem.

∠∠AOC =∠BOA-∠BOC

=70 - 15

=55

∴∠AOC=55

If you were a teacher, would you get full marks for carelessness? If yes, explain the reasons. If not, please point out the careless mistakes and give your correct solutions.

V (9 points for each question, *** 18 points)

32. A class will buy some table tennis and table tennis bats. Now the situation is like this: two stores, A and B, sell the same brand of table tennis and table tennis bats. Each table tennis bat is priced in 30 yuan, and each box of table tennis is priced in 5 yuan. After negotiation, a store gives a box of table tennis for every racket it buys, and B store gives a 10% discount on the pricing. This class needs 5 sets of rackets and several boxes of table tennis (no less than 5 boxes). Q: (1) When buying many boxes of table tennis, are the two preferential payment methods the same? (2) When buying 15 boxes and 30 boxes of table tennis, please do the following. Which store are you going to buy? Why?

There are two charging methods for local telephone dial-up Internet access, and users can choose one of them:

Timing system: 0.05 yuan per minute;

(b) Monthly subscription system: monthly 60 yuan (only one personal home phone is allowed to access the Internet);

In addition, there is a communication fee of 0.02 yuan per minute for each online mode.

(1), a user spends x hours online a month, please write down the fees that the user should pay under the two charging methods respectively;

(2) If a user estimates that a month's online time is 25 hours, which way do you think is more cost-effective?

Friendly reminder: please check carefully after you finish the test paper. Maybe you can do better. Wish you success!

Reference answers and grading standards of seventh grade mathematics test papers

A, 1, -302, two points determine a straight line 3, 1 4,114605,56, 12 2n+4.

7 1 10 29 ' 30÷8，5cm 9，60 10，90 80km 1 1，32 12，40。

Ii. 13, C 14, D 15, A 16, B 17, A 18, A 19, C 20.

Three. 23, 24, =-3, 25, 26, (1), 3270 degrees (2) 16350 yuan from the perspective of rotation and overlooking.

4.27. Solution: Let the height of the mountain peak be m-1: 28,

There are still 2.6-=-2.2-4 points.

Solution = 600-6 points.

A: The peak height is 600 meters -7 minutes.

29. Solution: There are * * * classmates in grade 7-1.

According to the meaning of the question, there are: -4 o'clock.

Score = 360-6.

A: There are 360 people at level 7 * *-7 points.

30, won't give Xiao careless full marks-1.

The reason is: Xiao Careless didn't consider the problem comprehensively. He only considered the situation that OC falls within ∠AOB and OC falls outside ∠AOB (omitted)-4 points.

When OC falls outside ∠AOB ∠ AOC = ∠ AOB+∠ BOC = 85-7 points.

5. 3 1, (1) The sales in the first, second, third and fourth quarters were 240, 25, 15 and 220 respectively. (1) can be represented by a bar graph (omitted) (2)

(2) The total amount available for sale is: 500 pieces; Sales in the first, second, third and fourth quarters accounted for 48%, 5%, 3% and 44% of the total sales respectively. (2 points)

Can be represented by pie chart (sketch) (2 points)

(3) As can be seen from the chart, the sales volume in the second and third quarters is relatively small, and the sales volume in the first and fourth quarters is relatively large. It is suggested to buy more down jackets in the peak season and transfer them to other goods or rent them to others in the off-season. (Only when the decision is reasonable) (2 points)

32, solution; (1) When buying a box of table tennis, the two preferential ways will pay the same-1 points.

According to the meaning of the question: 30× 5+(-5 )× 5 = (30× 5+5 )× 0.9-4 points.

Score = 20-5 points.

So when buying 20 boxes of table tennis, the two preferential ways are the same.

(2) When purchasing 15 boxes, Store A needs to pay 30× 5+( 15-5 )× 5 = 200 (yuan), and Store B needs to pay (30×5+ 15×5)×0.9=202.5. Because 200 < 202.5, when buying 15 boxes of table tennis, it is more cost-effective to go to a store. -Seven points.

When buying 30 boxes: a store needs to pay 30× 5+(30-5 )× 5 = 275 yuan; Store B needs to pay (30×5+30×5)×0.9=270 yuan. Because 275 > 270, when buying 30 boxes of table tennis, it is more cost-effective to go to B shop. -Nine points.

1. Fill in the blanks: (2 points for each small question, * * * 20 points)

(1) The equation 2x-3y+4 = 0 is known. If x is represented by an algebraic expression containing y, it should be written as _ _ _ _ _ _ _ _.

(2) given that x=5 and y=7 satisfy KX-2Y = 1, then K = _ _ _ _ _ _ _ _

③ Inequality 2x-4

(4) 0.0987 is _ _ _ _ _ by scientific notation.

(5)__________。

(6) As shown in the figure, ∠1= _ _ _ _ _ _.

(7) As shown in the figure, the conformal angle of ∠3 is _ _ _ _ _ _.

(8) The northeast direction is _ _ _ _ _ _ _ due north by east.

(9) Rewrite "There is only one intersection point between two straight lines" as "If".

(10) It is known that all three points A, B and C are on the straight line L, and AB = 5cm and BC = 6cm, then the length of AC is _ _ _ _ _ _ _ _.

Second, multiple-choice questions: (3 points for each small question, ***24 points)

Of the four options given in each question, one and only one is correct. Please put the alphabetic code before the correct option in brackets.

The solution set of (1) unary linear inequality is ().

(A)x & gt； -8 (B)x<-8(C)x & gt； -2(D)x & lt； -2

(2) The following shows that the correct process of finding the solution set of inequality group is () on the number axis.

(3) The following calculation error is ().

① ②

③ ④

⑤ ⑥

Six (b) five (c) four (d) three

(4) The following multiplication formula is correct ().

①

②

③

④

(A)4 (B)3 (C)2 (D) 1。

(5) The correct one in the following drawing statement is ().

(a) extend the straight line PQ (B) as the midpoint o of the ray MN.

(c) The bisector MN (D) of the straight line AB is the bisector OC of ∠AOB.

(6) Among the following propositions, the straight proposition is ().

(a) The two acute angles must be complementary.

(b) Two complementary angles are adjacent complementary angles.

(c) The complementary angles of equal angles are equal.

(d) If AM = MB, point M is the midpoint of line segment AB.

(7) Angles smaller than right angles are divided into three categories according to size ().

(1) acute angle, right angle and obtuse angle (2) internal dislocation angle and internal angle on the same side.

(c) Round corners, right angles and right angles (d) Top angles, complementary angles and complementary angles.

(8) In plane geometry, the false proposition in the following propositions is ().

(a) Two lines parallel to the same line are parallel.

(b) There is only one straight line between two points.

(c) There is one and only one straight line parallel to the known straight line at one point.

(d) There is one and only one straight line perpendicular to the known straight line.

3. Calculate the following questions: (small questions (1)~(6)2 points, small questions (7) and (8)3 points, *** 18 points).

( 1)__________

(2)__________

(3)__________

(4)5x(0.2x-0.4 years) = _ _ _ _ _ _ _ _

(5)__________

(6)__________

(7)

Solution:

(8)

Solution:

Fourth, solve the following linear equations and linear inequalities of one variable: (5 points for each small question, *** 10).

( 1)

Solution:

(2)

Solution:

5. Drawing questions: (Draw with a scale, triangle, protractor or ruler, not writing, only requiring the picture to be accurate. ) (65438+ 0 point for each small question, ***3 points).

(1) The point where the parallel line M passes through A is BC;

(2) Point A is the vertical line of BC, and the vertical foot is point D;

(3) The length of the line segment _ _ _ _ _ _ is the distance from point A to BC.

6. Fill in the blanks in the following reasoning process, and fill in the blanks with the basis of this reasoning step (65438+ 0 points per space, ***7 points).

As shown in the figure, AD//BC (known),

∴∠DAC=__________().

∫∠BAD =∠DCB (known),

∴∠BAD-∠DAC=∠DCB-__________，

That is to say, ∞ _ _ _ _ _ = ∞ _ _ _ _ _ _.

∴AB//__________().

Seven, solve the problem of equations: (5 points for each small question, *** 10)

(1) I bought 10 stamps, 20 stamps and 50 stamps with 3 yuan 50 * *18 stamps. The total face value of 10 stamp is the same as that of 20 stamps. How many stamps did I buy each of these three stamps?

Solution:

(2) The complementary angle of ∠ABC is greater than that of ∠MNP, and the complementary angle of ∠ ABC is greater than that of ∠MNP. Find the degree of ∠ ABC and ∠MNP

Solution:

Eight. Proof question: (5 points for this question)

Known: as shown in figure ∠ BDE+∠ ABC =, BE//FG.

Proof: ∠ Deb = ∠ GFC.

Prove:

Nine, it is known that the solution of the equation about x and y is the same as the solution of the equation, and the values of m and n are found. (3 points for this question)

Solution:

Reference answers and bisection criteria

Fill in the blanks

(2 points for each small question, ***20 points)

( 1) (2)3

(3)x & lt； 2 (4)

⑸4xy⑹ 100

(7)& lt； 7 (8)45

(9) If two straight lines intersect, there is only one intersection point, (1 0) 1cm or1cm (if only one of them is written,1minute can be given).

Second, multiple-choice questions (3 points for each small question, ***24 points)

BBAD·DCAC

Three. Calculate the following questions: (2 points for minor questions (1) ~ (6), 3 points for minor questions (7)(8), *** 18.

( 1) (2) (3) (4)

(5) (6)

(7) (If the result is wrong and the process is correct, you can give 1 minute)

(8) Original formula .......................................... 1 min.

Three points

Four, solve the following linear equations and linear inequalities (5 points for each small question, *** 10).

(1) Answer:

Correctly exclude 2 points.

Correctly solve the value of an unknown .............................................................................................. 4 points.

Complete the solution of the equation 5 points.

(2) answer:.

2 points for correctly solving the solution set of each inequality in the inequality group.

Get the correct answer and get 1 point.

The solution set of the first inequality is written as x < 8, or finally get -3, otherwise it is correct, get 4 points.

Fifth, drawing questions. (65438+ 0 point for each small question, ***3 points)

Six, (per grid 1 minute, ***7 points)

∠BCA, (two straight lines are parallel with equal internal angles)

∠BCA∠BAC∠DCA，

DC, (offset angle is equal, two straight lines are parallel)

Seven. Solving application problems with equations: (5 points for each small question, *** 10)

(1) Solution: Suppose 10 bought x stamps, y stamps for 20 stamps and z stamps for 50 stamps. ................. 1 point

So ... three points.

The solution is 4 o'clock.

A: 10 bought 10 stamps, 5 stamps for 20 and 3 stamps for 50. Five points.

(2) Solution: Let ∠ABC be and ∠MNP be. ................................ 1 min.

So ... three points.

The solution is 4 o'clock.

A: ABC is, MNP is. Five points.

Eight, proof questions. (5 points for this question)

Proof: ∫∠BDE+∠ABC =,

∴DE//BC, 2 points

∴∠DEB=∠EBF。 Three points

∵BE//FG，

∴∠EBF=∠GFC, 4 points.

∴∠DEB=∠GFC。 Five points.

9. Solution: The solution of the equations is the same as that of the equations.

The solution of ∴ is the same as that of the equation.

The fraction of solving the equation is

Substitution equation

To understand this system of equations, you must get

Replace in my =- 1

∴,。 Three points