The title is 1 23455 6789 10.
Answer a question.
1. The following numbers: -(-2), -|-2|, (-2)2, (-2)3, -23 The negative number is ().
a，2 B，3 C，4 D，5。
2. Of the following statements about the single formula 1, the correct one is ().
A. the coefficient is-and the degree is 4 b, the coefficient is-and the degree is 3.
C the coefficient is -5, the degree is 4 d, the coefficient is -5, and the degree is 3.
3. In the following categories, the wrong operation is ().
A, B, C, D,
4. Class 7 (1) has 48 students. Before the spring outing, the monitor drew a fan-shaped statistical map of students' intention to go to their classmates' spring outing places. The fan-shaped central angle of "the number of students who want to go to Suzhou amusement park" is 60, so the following statement is correct ().
A, students who want to go to Suzhou amusement city account for 60% of the class; B, there are 12 students who want to go to Suzhou amusement city.
C, the students who want to go to Suzhou amusement park must be the most. D, students who want to go to Suzhou amusement park account for the whole class.
5. Among the following equations, the equation whose solution is x =-2 is ().
a . 2x+5 = 1-x b . 3-2(x- 1)= 7-x c . x-5 = 5-x d . 1-x = x
6. As shown in the figure, a pair of triangular plates are placed on the desktop (the right-angled vertices coincide). If ∠ AOD = 150, ∠BOC is equal to ().
30 BC to 45 BC
7. As shown in the figure, the following statement is wrong ().
A.A.OA direction is northeast, and B. ob direction is 60 northwest.
C. the oc direction is 60 west of south and the od direction is 60 east of south.
8. Party A and Party B invest in the company in proportion, and agree to share the profits in proportion to the investment, except for various expenses. If the profit in the first year is 65,438+04,000 yuan, then Party A and Party B shall share it separately ().
A.2000 yuan and 5,000 yuan B.4,000 yuan and 10000 yuan.
C.5000 yuan and 2000 yuan D. 10000 yuan and 4000 yuan
9. It is known that three points A, B and C are all points on a straight line L, and AB=5cm and BC=3cm, then the distance from point A to point C is ().
A.8cm b.2cm c.8cm or 2cm d.4cm
10. As shown in the figure, there are six rays OA, OB, OC, OD, OE and OF with common * * endpoints in the plane. Write the numbers 1, 2, 3, 4, 5, 6, 7 ... and rotate counterclockwise on the ray from ray OA, numbered as "20 10".
A. on ray OA B. About ray OB
C. In Ray Oder. In the light of ...
2. Fill in the blanks (3 points for each question, 24 points)
The approximate number of 1 1.63200, accurate in place; There is a valid number.
12. If +=0 is known, then.
13. It is known that A, B and C are on the same straight line, AB = 16 cm, BC = 10 cm, and M and N are the midpoint of AB and BC respectively, then MN is equal to.
14. Fold a rectangular piece of paper as shown in the figure, BC and BD are creases, then ∠CBD.
To measure.
15. The figure is a simple numerical operation program. When the input value is 3, the output result is.
16. On the clock face, the angle formed by the hour hand and the minute hand at 10: 30 is equal to _ _ _ _ _ _ degrees.
17. A flea starts from a straight line at point O, jumps 1 unit to the right for the first time, then jumps 2 units to the left for the second time, 3 units to the right for the third time and 4 units to the left for the fourth time.
18. If the solution of the equation is, then A+B = _ _ _ _.
Three. Solution (this big question * * *, 5 questions, out of 26 points)
19.(8 points) Calculation (1)()(-24). (2)
(2)(6 points) Simplify first, then evaluate:, in which
(3)(6 points) Solving equations: (4)(6 points) Solving equations.
Iv. Answering questions (3 questions in this big question, full score 17)
20.(6 points) Cut a square piece of paper into four small squares, then cut one square into four small squares, then cut one square into four small squares, and so on.
Operation time n 1 2345 …
The number of squares is 4 7 10 …
Then = (represented by an algebraic expression containing n).
2 1.(6 points) See table 1 for the survey results of eye habits of seventh-grade students in school hospitals. The vacancy in the table is reflected in the fan chart in Table 2 and the bar chart in Table 3.
Example of number of people in numbered items
1 Write 360 37.50% often at close range.
Always watch it for a long time.
Use the computer for a long time
4 Watch TV at close range 1 1.25%
5 Failure to check eyesight in time 240 25.00%
Form (1)
Please fill in the blanks in the three forms;
22.(5 points) As shown in the figure, the line segment AB= 10cm, extend AB to point C to make BC=6cm, and points M and N are the midpoint of AC and BC respectively, and find the length of line segments BM and MN.
Five, answer (this big question ***3 questions, out of 23 points)
23.(7 points) A factory produced 480 machines A and B in the first quarter. After improving the production process, it is planned to produce 554 A and B machines in the second quarter, of which the output of A machine increased by 65,438+00% and that of B machine increased by 20%. The factory produced two machines A and B in the first quarter.
24.(8 points) Under normal circumstances, the maximum number of heartbeats per minute (s/min) that a person can bear during exercise satisfies the relation:, where sum is a constant.
(1) According to the information provided in the figure below, find the value of;
(2) If a 63-year-old man is running, the doctor gives him a heartbeat 10 second on the way and asks: Is he in danger? Why?
25.(8 points) As shown in the figure on the left below, overlap the right-angled vertices of a pair of triangular rulers at the O point.
(1) ① Are ∠ AOD and ∠BOC equal? Explain why.
② What is the relationship between ∠ AOC and ∠BOD in quantity? Explain why.
(2) If the isosceles triangle ruler rotates around point O to the position shown on the right.
① Are ∠ AOD and ∠BOC equal? Explain why.
② ② ② Is the above relationship between AOC and ∠BOD still valid? Explain why.