First, choose carefully and be careful of traps! (3 points for each small question, ***36 points)
1. In the plane rectangular coordinate system, the point p (-3,4) is located at ().
A. first quadrant B. second quadrant C. third quadrant D. fourth quadrant
2. In order to know the eyesight of 300 seventh-grade students in the school, Mr. Luo randomly selected the eyesight of 50 students. In view of this problem, the following statement is correct ()
A.300 students are the whole B, and each student is an individual.
C.50 students are a sample. D. The sample size is 50
3. The burning speed of the fuse is 0.8cm/s, and the escape speed of the initiator after ignition is 5 m/s. In order to run to the safety zone beyond 150m after ignition, the length of the fuse should be at least ().
A. 22 cm b. 23 cm c. 24 cm d. 25 cm
5x? 3 A > C > B. D. C+A > C+B。
Second, fill in the blanks carefully and see who is quick to whom! (3 points for each question, *** 18 points)
The square root of 13. 16 is
14. "The bisectors of adjacent complementary angles are perpendicular to each other" is rewritten as "if so": _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
15. The solution set of inequality group is
16. as shown in the figure, a∨b, if ∠ 2 = 130, then ∠ 1=
M+2n823m+4N 17。 The monomials 3xy and-﹣2xy are similar terms, so m+n = _ _ _ _ _ _.
18. It is known that point O (0 0,0), point A of B( 1 2) is on the coordinate axis, and S△OAB=2, then the coordinate of A is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
Third, answer carefully: (7 points for each small question, 28 points for * * *)
19. Calculation: 0.252? (? 1)4? (? 1)20 15? (? 2)2? (? 3)2 2
20. Solve the equation:
20. Solve the inequality group and write all its integer solutions.
22. As shown in the figure, points D and E are on the AB side and AC side of △ABC, and point F is on DC, and ∠ 1+∠ 2 = 180, ∠ 3 = ∠ b. 。
Proof: de∨BC
4. Short answer questions: (6 points for each question, *** 18 points)
Solution: ∫AE bisection ∠ DAC (_ _ _ _ _ _ _
∴∠DAE=∠CAE ( _______ __)
∫AE∨BC(_ _ _ _ _ _ _ _ _)
∴∠DAE=∠B ( _____ ____)
∠CAE=∠C ( ______ ___)
∴∠B=∠C ( _______ __)
24. As shown in the figure, in the grid diagram, translating △ABC makes point A translate to point D. 。
(1) Draw the translated △ def; (2) Find the area of △ABC.
23. Fill in the blanks according to the figure: It is known that AD is the extension of BA line, and AE divides ∠DAC and AE∨BC equally, so ∠B and ∠C are equal?
25. The ticket prices of a tropical botanical garden in a city are as follows. (2) Two classes of students from Grade 7 (1) in a school *** 103 people visited the park, among which 7 classes (1) had no less than 30 people and no more than 50 people. After the budget, if the two classes buy tickets separately according to the class.
( 1
(2) How many students are there in each class?
Play the seventh grade (2) answer sheet, the second volume of the final review paper.
Names and grades of students in the class:
First, choose carefully and be careful of traps! (3 points for each small question, ***36 points)
The square root of 13. 16 is 14. Rewrite: _ _ _ _ _ _15. Unequal groups.
The solution set of is 16. ∠ 1 =
17.m+n =。 Third, answer carefully: (7 points for each small question, 28 points for * * *)
19. Solution:
2 1. solution:
22. Proof:
4. Short answer questions: (6 points for each question, *** 18 points)
The coordinates of point 18.A are _ _ _ _ _ _ _ _ _ _ _ _. 20. Solution:
23. Fill in the blanks according to the figure: It is known that AD is the extension of BA line, and AE divides ∠DAC and AE∨BC equally, so ∠B and ∠C are equal?
Solution: ∫AE bisection ∠ DAC (_ _ _ _ _ _ _
∴∠DAE=∠CAE ( _______ __)
∫AE∨BC(
∴∠DAE=∠B ( _____ ____)
∠CAE=∠C ( ______ ___)
∴∠B=∠C ( _______ __)
24. Solution:
25. Solution:
20 15 review papers at the end of the first volume of the seventh grade in spring (3)
First, choose carefully and be careful of traps! (3 points for each small question, ***30 points)
1. If m >- 1, the following statement is wrong (). ...
a . 6m >-6 b .-5m 0d . 1-m < 2
2. In the following categories, the correct one is ()
4 B。
=-4
3. It is known that A > B > 0, so the unsolved inequality in the following group is (). ..
x? A b? xa C? x? A d? xa A.xb? xb? xb? x? b
4. A car driving on the highway, after two turns, is still driving in parallel in the original direction, then the angles of these two turns may be ().
A. Turn right 50, then turn right 40 b. Turn right 50, then turn left 40.
C. turn right 50, then turn left130 d. Turn right 50, then turn left 50.
x? The equation set of 1 is () 5. What is the solution? y? 2
x? y? 1 B? x? y 1°c? x? y? 3 D? x? 2y3 A.3x? y? 1? 3x? y? 5? 3x? y? 5? 3x? y5
6.∠ 1 and ∠2 are complementary, so the parallel straight lines in the figure have ().
A, B, C, D,
7. The following statement is true ()
First, the same angle is equal.
B, on the same plane, if a⊥b, b⊥c, then ⊥c.
C. Equal angles are diagonal angles.
D, in the same plane, if a∨b, b∨c, then a ∨ c.
8. During the break, Xiaohua, Xiaojun and Xiaogang are located as shown on the right. Xiaohua said to Xiaogang, if you use my position,
(? 0,0) means that Xiaojun's position is (2, 1), so your position can be expressed as ().
A.(5,4) B.(4,5) C.(3,4) D.(4,3)
2x? 2? The solution set of 6 is () 9. Inequality set 3x? six
A.x? 4 B.x2 C? 2? x? 4 d. empty set
10. Among the following propositions, the wrong one is ().
A, the internal angles on the same side are complementary; B, diagonally equal.
C, the complementary angle of a right angle is still a right angle D. Between two points, the line segment is the shortest.
Second, fill in the blanks carefully and see who is quick to whom! (3 points for each question, ***24 points)
The square root of 1 1.49 is _ _ _ _ _, the arithmetic square root is _ _ _ _ _, and the cube root of -8 is _ _ _ _ _.
12. The solution set of inequality 5x-9≤3(x+ 1) is _ _ _ _ _.
13. If point P(a, 2) is in the second quadrant, then point Q(-3, a) is in _ _ _ _ _.
14. As shown in the figure 1, there is a Lizhuang beside the railway, and now a railway station is to be built. In order to make it most convenient for Zhuangli people to take the train (that is, the shortest distance), please choose a point next to the railway to build a railway station (the location has been selected) and explain the reasons.
:____________.
D
C
Figure B 1 Figure 2 Figure 3
15. If you drive from A to B at 60 east-north direction, and then drive from B to C at 20 west-south direction, then ∠ ABC = _ _ _ _ _ _
16. As shown in Figure 2, if AD∨BC, ∠ D = 100, and CA shares ∠BCD, ∠ DAC = _ _ _ _ _
17. as shown in figure 3, the vertical foot of straight line AB∨CD, EF⊥CD is f, ray FN intersects ab at m, ∠ NMB = 125, then ∠ EFN = _ _ _ _ _ _.
18. If │x2-25│.
Then x = _ _ _ _ _ _ y = _ _ _ _ _ _
Third, answer carefully: (6 points for each small question, 24 points for * * *)
19. As shown in the figure, A(-4,-1), B(-5, -4) and C(- 1, -3) are known.
△ABC Any point of △ A ′ B ′ C ′ and △ ABC obtained by translation.
The corresponding point of P(x 1, y 1) after translation is P ′ (x1+6, Y 1+4).
(1) Please make △ a ′ b ′ c ′ in the drawing;
(2) Write the coordinates of points A', B' and C'.
x? 3(x? 2)? 4, 20. Solve the inequality group:? , and represents the solution set on the number axis. 2x? 1x? 1? . ? 2? five
3 1? 2x? Y2 1。 Solve the equation: 3 42? 4(x? y)? 3(2x? y)? 17
22. As shown in the figure, AD∨BC and AD share ∠EAC equally. Can you determine the quantitative relationship between ∠B and ∠C?
Please provide a justification for the answer.
Balanced air distillation
C 4 explosive Short answer: (23 questions 6 points, 24 and 25 questions 8 points, ***22 points) b
23. As shown in figure 1, it is known that ∠ 1 =∠2, ∠B =∠C, and AB∨CD can be deduced. The reason for this is the following:
∠ 1 =∠2 (known), and∠1=∠ cgd ()
∴∠2 =∞∠4 (equivalent substitution)
∴CE∥BF()
∴∠ =∠BFD()
∠∠B =∠C (known)
∴∠BDF=∠B()
∴AB∥CD()
24.
More than 50 people, less than 50 people in class B, buy tickets separately according to the class, two classes in 920 yuan. ? If two classes buy tickets together, one class has to pay 5 15 yuan. How many people are there in Class A and Class B respectively?
25. A storage and transportation station has Class A goods 1.530 tons and Class B goods 1.500 tons. Arrange to transport these goods to Qingdao by freight train, and 50 freight cars with different specifications of A and B can be hung. It is known that 35 tons of Class A goods and 1.5 tons of Class B goods can fill a Class A freight car. Please design it.
20 15 review the examination paper at the end of the first volume of the seventh grade in spring (3) answer sheet.
Names and grades of students in the class:
First, choose carefully and be careful of traps! (3 points for each small question, ***30 points)
(3 points for each question, ***24 points)
The square root of 1 1.49 is _ _ _ _ _, the arithmetic square root is _ _ _ _ _, and the cube root of -8 is _ _ _.12. The solution of inequality 5x-9≤3(x+ 1).
13. the point Q(-3, a) is in _ _ _ _ _ _ _.14. Reason: _ _ _ _ _.15. ∠ ABC = _ _ _ _ _ _ _ . 16。 ∠ _ _ 18.X = _ _ _ _ _ _,Y = _ _ _ _ _ _。 Third, answer carefully: (6 points for each small question, 24 points for * * *)
19.20. Solution:
2 1. Solution: 22. Prove:
E
A
direct current
B
4. Short answer questions: (6 points for 23 questions, 8 points for each question on 24th and 25th, 22 points for * * *).
23. As shown in figure 1, it is known that ∠ 1 =∠2, ∠B =∠C, and AB∨CD can be deduced. The reasons are as follows: ∫≈ 1 =∠2 (known), while ∠ 1 =∠CGD() ∴∠2 =∠4 (equivalent replacement).
∴ CE ∥ BF () ∴ = ∠ BFD () and ∠B =∠C (known)
∴∠BDF=∠B( ) ∴AB∥CD(
24. Solution:
25. Solution:
)
2065438+2005 Spring School Seventh Grade Volume II Final Review Examination Paper (IV)
First, choose carefully and be careful of traps! (3 points for each small question, ***30 points)
1. If point P(a, b) is in the fourth quadrant, the distance from point p to the X axis is ().
a . a . b . b . c . a . d . b
2. AB+5b.3a > is known; 3b; C.-5a >-5b D . >33
3. As shown in the figure, the condition that cannot be used to judge AB∨CD is () f a. ∠ feb = ∠ ECD b. ∠ AEC = ∠ ECD; EAB c .∠BEC+∠ECD = 180d .∠AEG =∠DCH
4. The following statement is correct: () GH A. There is a common vertex, and two equal angles are antipodal angles.
B. Two straight lines intersect, any two angles are antipodal angles CD C, and two angles of mutually opposite extension lines are antipodal angles.
D Both sides of the two corners are on the same straight line, and the two corners are opposite.
5. In the following categories, the correct one is ()
3333 A。
B.
; C.
48
446. If point P is below the X axis and to the left of the Y axis, the distance to each coordinate axis is 3, then the coordinate of point P is ().
A: 3,3? b、3、3? c、3、? 3? D, is it? 3,? 3?
7x? 2y? 3 (1) 7. Solving equations with method of substitution? There are the following steps: x? 2y 12(2)
①: y comes from ①? 7x? 3 (3) ②: Substitute (3) into (1) to get 7x? 2? 7x? 3? 3 22
③: 3 = 3 ④: ∴ x can take all rational numbers, and the original equation group has countless solutions, which leads to the error in the steps of () ADA, 1b, 2c, 3d, ④ 8. As shown on the right, there are () conditions for judging AB∨CD.
( 1) ? BBCD? 180? ; (2)? 12; 4? 34? b5(3); (4) .ECBA. 1
9. If XM-N-2ym+N-2 = 20 15 is a binary linear equation about x and y, then the values of m and n are () respectively.
A.m= 1,n=0 B. m=0,n= 1 C. m=2,n= 1 D. m=2,n=3
10. The following survey: (1) In order to test the service life of a batch of TV sets; (2) In order to investigate the average number of people with mobile phones in China; (3) Understand the average online time of students in this class; (4) Understand the ratings of CCTV Spring Festival Evening. Among them, the number suitable for sampling survey is ()
a, 1 b,2 c,3 d,4
Second, fill in the blanks carefully and see who is quick to whom! (3 points for each question, *** 18 points)
The arithmetic square root of 1 1.8 1 is _ _ _ _.
12. If 1
13. There are four propositions: ① Isoangle is antipodal angle; (2) Two straight lines are cut by the third straight line, and the same angle is equal; (3) Of course, the same quadrilateral can be embedded in a plane; ④ Two lines perpendicular to the same line are perpendicular to each other. Please fill in the serial number of the proposition you think is correct on the horizontal line _ _ _ _ _ _ _.
14. The positive integer solution of inequality -3 ≤ 5-2x < 3 is _ _ _ _ _ _ _ _.
15. Mathematical decryption: If the first number is 3=2+ 1, the second number is 5=3+2, the third number is 9=5+4, and the fourth number is 17=9+8? Observing the above rules, guess that the sixth number is _ _ _ _ _.
2x? y? What is the low solution? x? 5. I accidentally dropped two drops of ink, which just covered two 16. As shown in the figure, small bright solution equations 2x? y? 12? y? ★
Numbers ● and ★, please help him find this number ★ =
Third, answer carefully: (7 points for each small question, 28 points for * * *)
17. Calculation: (? 1)? ( 1? )? 3? (? 3)
2x? 5y? 25,
18. Solve the following equation:? ?
4x? 3y? 15.?
19. If A (2x-5,6-2x) is in the fourth quadrant, find the range of A. 。
20. as shown in the figure, EF//AD,? 1=? 2. Description: ∠ DGA+∠ BAC = 180. Please fill in the description process. Solution: ∫EF//AD, (known)
three
1
2
2
∴? 2 = _ _ _ _ _. (_ _ _ _ _ _ _ _ _ _ _ _ _). Again? 1=? 2,(______)
∴? 1=? 3,(________________________).∴ab//______,(____________________________)∴∠dga+∠bac= 180。 (_____________________________)
A
4. Short answer: (8 points for each small question, ***24 points)
2 1. As shown in the figure, AD∨BC and AD share ∠EAC equally. Can you determine the quantitative relationship between ∠B and ∠C?
Please provide a justification for the answer.
E
A
direct current
B
22. Xiaolong is responsible for understanding the income of 450 families in his community in the social investigation activities organized by the school. He randomly investigated the household income of 40 households (income rounded, unit: yuan) and drew the following frequency distribution table and frequency distribution histogram.
Number of families 20 16 12840
According to the information provided above, answer the following questions: (1) Complete the frequency distribution table; (2) completing the frequency distribution histogram; (3) Draw the corresponding frequency distribution line diagram.
600800 1000 1200 1400 1600 1800
Yuan dynasty (1206- 1368)
(4) Please estimate how many households in this community belong to middle income (more than 1000 but less than 1600 yuan)?
In the Sichuan 52 12 earthquake, a group of victims had to live in "transitional resettlement" houses. If there are three people in each room, there will be eight more. If there are five people in each room, then there are less than five people in one room. How many rooms have been set up for the victims this time? How many victims are there in this group?
20 15 review the examination paper at the end of the first volume of the seventh grade in spring (4) answer sheet.
Names and grades of students in the class:
First, choose carefully and be careful of traps! (3 points for each small question, ***30 points)
(3 points for each question, *** 18 points)
The arithmetic square root of 1 1.8 1 is _ _ _ _ _; 12.simplify│X- 1 │+│X-2│= _ _ _ _ _ _ _; 13. The serial number is filled on the horizontal line _ _ _ _ _ _ _ _; 14. The positive integer solution is _ _ _ _ _ _ _ _ _ _ _ _; 15. The sixth number is _ _ _ _ _ _; 16.★ = III。 Answer carefully: (7 points for each small question, ***28 points)
17. Solution:
18. Solution:
19. Solution:
20. as shown in the figure, EF//AD,? 1=? 2. Description: ∠ DGA+∠ BAC = 180. Please fill in the description process. Solution: ∫EF//AD, (known)
∴? 2 = _ _ _ _ _. (_ _ _ _ _ _ _ _ _ _ _ _ _). Again? 1=? 2,(______)
∴? 1=? 3,(________________________).∴ab//______,(____________________________)∴∠dga+∠bac= 180。 (_____________________________)
A
4. Short answer: (8 points for each small question, ***24 points) 2 1. Prove:
22.
Number of families 20 16 12840
600
800 1000 1200 1400 1600 1800
Yuan dynasty (1206- 1368)
Solution:
23. Solution:
E
A
decibel
C