(Full score:150; Examination time: 120)
[Foreword: Hello, dear classmates! You have been in junior high school for one semester. Congratulations on growing up with the new curriculum. I believe that you have mastered many new mathematical knowledge and methods on the basis of the original, and become smarter. You must be able to apply mathematics to solve practical problems. Now let's walk into the examination room together and give full play to your intelligence. Success must belong to you! ]
Title One Two Three Total Integral and Integral
1~ 10 1 1~20 2 1 22 23 24 25 26 27 28
score
Scoring reviewer
1. Multiple-choice questions (each question has one and only one correct answer, please fill in the letter before the answer you think is correct in the corresponding space in the table below, with 3 points for each question, counting 30 points).
The title is 1 23455 6789 10.
Answer a question.
The absolute value of 1 be
A.- 3rd century BC.
2. The following calculation is correct
A.B. C. D。
3. Which of the following statements about the monomial is correct?
A. The coefficient is 3 and the degree is 2 b. The coefficient is 2 and the degree is 2.
C. the coefficient is, the degree is 3 D, the coefficient is, and the degree is 3.
4. Rotate the lower right trapezoid around a straight line to get the three-dimensional figure on the right.
5. The positions of rational numbers A and B on the number axis are shown in the figure.
Then the following kinds of mistakes are
A.b-3 B.∣-5∣>∣-3∣
C.-(-3)>-(-5) D.∣-3∣>∣-5∣
2. In the figure below, it is () that is not expanded on the cube plane.
A.B. C. D。
3, the shape of the object as shown in figure 1, then the plane figure of this object from the front is ().
4, the following survey, the survey method is correct ()
A. In order to count the number of students in the whole school, the method of sampling survey was adopted.
B. In order to know the ratings of a TV series, a comprehensive survey is adopted.
In order to know the lethality of a batch of shells, sampling survey was adopted.
D. In order to know whether a certain brand of food contains preservatives, a comprehensive investigation is adopted.
5, the following statement is correct ()
A. Numbers with opposite signs are opposite numbers. B. Numbers with opposite signs and equal absolute values are opposites.
C. Numbers with equal absolute values are reciprocal. Numbers with opposite signs are reciprocal.
Two. Fill in the blanks (3 points× 5 =15 points)
The reciprocal of 6 and 5 is; The reciprocal of-is; The absolute value of -3 is.
7. Calculation: -4.2+5.7-8.4+ 10 =.
8. If, then the complementary angle is equal to _ _ _ _ _ _ _ _.
The Qinghai-Tibet Plateau is the highest plateau in the world, with an area of about 1000 square kilometers.
10. In order to estimate the number of fish in the fish pond, we first fished out a net of 85 fish, marked them and put them back in the fish pond. After the fish swam in the water, we fished out a net of 90 fish, among which 15 fish was marked, so it can be estimated that there is probably a fish in the fish pond.
Iii. Answering questions (***70 points)
1 1, (5 points) calculation:
12, (5 points) calculation: 3x-(2x-4)+(2x- 1)
13, (5 points) calculation:
14, (5 points) Solve the equation:
15, (5 points) Solve the equation:
16, (6 points) As shown in the figure, it is known that D is the midpoint of line segment AC, line segment BD =7.5cm, and line segment BC = 6cm. Find the length of line segment AB.
17, (6 points) As shown in the figure, there are three points A, B and C on the plane.
(1) Make the following figures: ① line segment AB; ② ray BC; ③ Straight-line communication.
(2) How many pairs of complementary angles are there in the picture? Mark the numbers and write these diagonal lines.
18, (6 points) It is known that the complementary angle of ∠ β is greater than that of ∠β, so find the degree of ∠β.
19, (6 points) As shown in the figure, the straight line AB and CD intersect at point O, and the OE bisector ∠AOC, ∠AOE =, and the degrees of other angles in the figure are obtained.
20.(6 points) When designing the questionnaire, are the following questions appropriate? If it is not suitable, how to improve it?
(1) What means of transportation do you use when you go to school?
A. car b motorcycle c walking d other
(2) Are you satisfied with the teacher's teaching?
A. satisfactory; approving
2 1, (7 minutes) The long-distance bus from A to B originally took 7 hours. After the opening of the expressway, the distance is shortened by 30 kilometers, while the average speed is increased by 30 kilometers, which takes only 4 hours to reach. Find the distance between a and b on the expressway.
22.(8 points) A literary and art group organized a benefit performance for Project Hope, and * * * sold 65,438+0,000 tickets to raise money 6, 950 yuan. It is known that each adult ticket is 10 yuan, and each student ticket is 5 yuan.
(1) How many adult tickets and student tickets did you sell? (3 points)
(2) If the ticket price and the total number of tickets sold remain unchanged, can the ticket amount be 6932 yuan? State your reasons. (3 points)
(3) If the ticket price and the total number of tickets sold remain unchanged, how many adult tickets must you sell if you want to raise 8 000 yuan? (2 points)