Seventh grade math test questions

(Duration: 90 minutes; Full score: 120)

The title number is one, two, three, total score, total score.

19-2 1 22 23-25 26

score

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A, multiple-choice questions (this question has 10 small questions, each with 3 points and ***30 points. Only one of the four options given in each small question meets the requirements of the topic. Please fill in the letter code before the correct option on the answer sheet)

The title is 1 23455 6789 10.

election

The reciprocal of 1 is ()

a、2 B、2 C、D、

2. China's gross national product has reached 1 1.69 trillion yuan, and the people's life has generally reached a well-off level. Where 1 1.69 trillion should be () in scientific notation.

a . 1. 169× 10 13 b . 1. 169× 10 14 c . 1 1.69× 10 13d . 0. 1 165438

3. The position of the real number on the number axis is as shown in the figure, so the simplified result is ().

A, B, C, D,

4. A store will raise the price of a certain garment by 40% according to the cost, and then sell it at a 20% discount. Therefore, each garment can still make a profit 15 yuan, so the cost price of each garment is ().

A, 120 yuan; B, 125 yuan; C, 135 yuan; D, 140 yuan.

5. If the sum of the sum of the monomials is still a monomial, then the values of m and n are ().

a、m = 2，n = 2； b、m =-2，n = 2；

c、m = - 1，n = 2； d、m = 2，n =- 1 .

6. x= 1 is the solution of equation 3x-m+ 1 = 0, so the value of m is ().

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

7. In the figure below, the length of the straight line PQ indicates that the distance from the point P to the straight line MN is ().

8. The cube shown in the figure below, if expanded, can be () in the figure below.

9. If A and B are reciprocal, and X and Y are reciprocal, the value of is ().

A.2 B. 3 C. 3.5 D. 4

10, the point C is on the line segment AB, and it is () if it cannot be determined that the point C is the midpoint of the line segment AB under the following conditions.

A.AC = BC B . AC+BC = AB C . AB = 2AC D . BC = AB

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Fill in the blanks (there are 8 small questions in this big question, with 3 points for each small question and 24 points for * * *)

Add 1 1 and a polynomial, and the polynomial is.

12, the complementary angle of an angle is three times its complementary angle, then this angle is.

13. If Equation 2+1=3 and the solution of the equation are the same, then the value of is _ _ _ _ _ _.

14. Fold a rectangular piece of paper as shown. If BC and BD are polylines, then ∠CBD is degrees.

15, A, B and C are on the straight line L, AB = 4cm, BC = 6cm, E is the midpoint of AB, F is the midpoint of BC, and EF=.

16. If the value of is 6, the value of is.

17. Girls account for 52% of the total number of students in the school, 80% more than boys. If the number of students in this school is X, then the equation can be listed.

18. Use small cube building blocks to build a geometric figure, as shown in the front view and top view. It needs at least one small cube building block and at most one small cube building block.

Top view of the front view

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Three. Answer questions (there are 4 questions in this big question, 19-20 has 6 points for each question, 2 1 has 8 points, 22 10 has 0 points, and * * * 30 points. Write a written explanation, reasoning process or calculus steps when answering)

19, calculation:

Solution:

20, solve the equation

Solution:

2 1, simplify first, then evaluate:

, in which

Solution:

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22.( 1)(4 points) On the left of the figure below is the top view of the geometry composed of several small cubes with the same size. The number in the small square indicates the number of small cubes in this position. Please draw the front view and the left view of the geometry.

(2) (6 points) As shown in the figure, point P is a point on the edge of OB.

① Draw the vertical line of OB through point P and intersect with OA at point C..

② Draw the vertical line of OA through point P, and the vertical foot is H ..

③ The length of straight line PH is the distance from point P,

Is the distance from point c to line OB.

Because the size relationship between PC, PH and OC of the three line segments is (with "

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(8 points for each of questions 23-25, * * * 24 points)

On the 23rd, during the "May Day" holiday, my brother and mother set out from home to my grandmother's house. After they left 1 hour, my brother found that he had left the gift for his grandmother at home, so he immediately took the gift and chased it at a speed of 6 kilometers per hour. If my brother and my mother walk 2 kilometers every hour, it will take them 1 hour and 45 minutes to get from home to grandma's. Can he catch up with his brother and mother before they arrive at grandma's house?

24. As shown in the figure, the side length of the square is x, and the area of the shadow part in the figure is expressed by algebraic expression, and the area of the shadow part is calculated. (Take 3. 14)

25. As shown in the figure, OM is the bisector of ∠AOC and ON is the bisector of ∠BOC.

(1) If ∠ AOC = 28 and ∠ MON = 35, calculate the number of ∠AOB;

(2) If ∠ mon = n, the number of times to find ∠AOB;

(3) If the size of ∠MON changes, will the size of ∠AOB change? What is the size relationship between them? Please write it down.

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26, full of confidence, success is in sight (*** 12 points)

Please answer the following questions according to the information provided in the picture:

(1) How much is a thermos and a glass?

(2) Two shopping malls, A and B, sell the same thermos bottles and cups at the same time. In order to welcome the new year, both shopping malls are engaged in promotional activities. Shopping mall a stipulates that these two products will be 10% off; Shopping mall B stipulates: buy a thermos bottle and get a free water cup. If a company wants to buy four thermos bottles and 15 cups, which shopping mall is more cost-effective and explain the reasons.

84 yuan, 38 yuan.