The final exam questions of the first volume of junior one mathematics
(Full score:100; Examination time: 100 minutes)
note:
1. Please fill in the answer sheet with 2B pencil.
2. The answers to multiple-choice questions must be written in the designated position on the answer sheet with 0.5mm black ink pen, and the answers in other positions are invalid.
A, multiple-choice questions (this big titled ***8 small questions, each small question 2 points, *** 16 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 in the corresponding position on the answer sheet).
The reciprocal of 1 -2 is ()
12
2.20 15 Nanjing international marathon is about 42 195 meters, and 42 195 is expressed as () by scientific notation.
A.42. 195？ 103 B.4.2 195？ 104 C.42. 195？ 104 D.4.2 195？ 105
3. In the following groups of monomials, a group of similar items is ()
A.3x2y and 3xy2 B.2abc and -3ac.2xy and 2ab D.-2xy and 3yx.
4. As shown in the figure, fold a rectangular piece of paper ABCD in half along EF, and point D and point C fall on point D? 、C？ What if? 1=56? And then what? The degree of definition is ()
.56 caliber? B.62？ C.68？ D. 124？
5. As shown in the figure, the correct translation method is () to translate the shadow triangle in the figure from A to B.
A. Move 1 grid up first, and then move 1 grid to the right. B. Move 3 grids up first, and then move 1 grid to the right.
C. Move 1 grid up first, and then move 3 grids to the right. D. first move 3 squares up, and then move 3 squares to the right.
6. We use the operation of rational numbers to study the following problems. It is stipulated that the water level rise is positive and the water level drop is negative; It was positive a few days later and negative a few days ago. If the water level drops by 4cm every day, it is correct to express the change of water level in formula () after 3 days.
A.(+4)? (+3) B.(+4)？ (-3) C.(-4)？ (+3) D.(-4)？ (-3)
7. The position of rational number A on the number axis is shown in the figure. Among the following figures, the one that may be between 0 and 1 is ().
A.- A and B │ A │
C.│a│- 1 D.a+ 1
8. As shown in the figure, the upper part of a geometric body is a regular pyramid, the lower part is a cube, and one surface is painted with color. In the figure below, the surface expansion diagram of the geometry is ().
2. Fill in the blanks (this topic is entitled *** 10, with 2 points for each topic, totaling ***20 points. There is no need to write the answer process, please fill in the answer directly in the corresponding position on the answer sheet)
9. The coefficient of single item-12a2b is ▲.
10. Comparison size:-? ▲-3. 14. (Fill in? & lt？ 、? =? Or? & gt？ )
1 1. If? 1=36? 30? And then what? The complementary angle of 1 is equal to ▲ .
12. It is known that the solution of the linear equation 3m-4x=2 about x is x= 1, and the value of m is▲.
13. The following table shows the international standard time of four cities at the same time, so the time difference between Beijing and Toronto is ▲ H.
London city Beijing Tokyo Toronto
International standard time 0 +8 +9 -4
14. Write a geometric figure with the same front view, left view and top view: ▲.
15.20 15, 12, 17, Dahongzhi Ruins Park was officially opened to the public. With the approval of the price department, the ticket price in the tourist season has increased by 40%, and the price after the increase is 168 yuan. If the ticket price of Grand Hoonji is X yuan, the equation can be listed according to the meaning of the question.
16. If 2a-b=2, then 6-8a+4b = ▲.
17. It is known that the line segment AB=6 cm, and there is a point C on the straight line where AB is located. If AC=2BC,
The length of line segment AC is ▲ cm.
18. As shown in the figure, draw four small circles with diameter in the big circle with radius a, then in the figure,
The area of the shaded part is ▲ (expressed by algebraic expression with a, and the result is kept? ).
Three. Solution (this big question is ***9 small questions with a score of ***64. Please answer in the designated area of the answer sheet, and write a written explanation, proof process or calculus steps when answering.
19.(8 points) Calculation:
( 1)( 12-7 12+56)? 36; (2)-32+ 16? (-2)? 12.
20.(6 points) Simplify before evaluating: 2(3a2b-ab2)-(-ab2+2a2b), where a=2 and b=- 1.
2 1.(8 points) Solve the equation:
( 1)3(x+ 1)= 9； (2)2x- 13 = 1-2x- 16。
22.(6 points) Read sentences and draw pictures to answer questions:
(1) Draw AD after A? BC, the vertical foot is D. Compare the sizes of AD and AB: AD ▲ AB;
(2) Use a ruler and compasses? CDE, manufacturing? CDE=？ ABC, and intersect with AC at point E. At this time, the positional relationship between DE and AB is
▲ .
23.(6 points) The three views of a geometric figure are shown in the figure (unit: cm).
(1) Write the name of this geometry: ▲;
(2) If the top view is square, calculate the surface area of this geometry according to the data in the figure.
24.(6 points) The box below is Xiao Ming's answer to the textbook P 108.
Please point out the mistakes in Xiao Ming's answer and write the correct answer to this question.
25.(8 points) As shown in the figure, the straight line AB and CD intersect at point O and are equally divided. AOE, which one? CD, the foot is O.
(1) What if? AOE= 120？ , beg? Degree of biochemical oxygen demand;
(2) Write all the pictures and? AOD complementary angle: ▲.
26.(8 points) As shown in the figure, the numbers indicated by point A and point B are 6,-12, m, n and p are three moving points on the axis, all of which move to the right at the same time. Point M starts from point A at the speed of 2 unit lengths per second, point N starts from point B at the speed of 3 times that of point M, and point P starts from the origin at the speed of 6544 per second.
When (1) moves for 3 seconds, the numbers indicated by points M, N and P are ▲, ▲ and ▲ respectively;
(2) How many seconds is the distance from point P to point M and point N?
27.(8 minutes) The angle of the clock face refers to the angle formed by the hour hand and the minute hand of the clock. As shown in the figure, the time on the three clock faces of Figure ①, Figure ② and Figure ③ recorded the class time of a middle school at 7: 30 in the morning, the school time at noon 1 1: 50, and the school time at afternoon 17: 00 respectively.
(1) Write the degree of the clock face angle in the picture:? 1= ▲ ? 、? 2= ▲ ? 、? 3= ▲ ? ;
(2) At a certain moment, the clock face angle may be equal to 90? Write a possible moment as▲;
(3) Please use the knowledge of one-dimensional linear equation to solve the problem: on the clock face, between 7: 30 and 8: 00, the angle of the clock face is equal to 90? What time is it now?
Junior high school mathematics volume one final examination paper reference answer
First, multiple-choice questions (2 points for each small question, 16 points * * *)
Title 1 2 3 4 5 6 7 8
Answer A B D B B C C D
Fill in the blanks (2 points for each small question, 20 points for * * *)
9.- 12 10.& lt 1 1.53.5 12.2 13. 12
14. Cube (the answer is not unique) 15. ( 1+40%)x = 168 16。 -2
17.4 or 12 18. a2-2a2
Three. Problem solving (this big question * * *, 9 questions, 64 points)
19.(8 points)
Solution: (1) Original formula = 12? 36-7 12? 36+56? 36 1 point
= 18-2 1+30 3 points
=27.4 points
(2) The original formula =-9+ 16? (- 12)? 12 2 points
=-9-4 3 points
=- 13.4 points
20.(6 points)
Solution: The original formula =6a2b-2ab2+ab2-2a2b 2 points.
=4a2b-ab2。 4 points
When a=2 and b=- 1,
Original formula =4? 22? (- 1)-2? (-1) 2 =-16-2 =-18.6 points.
2 1.(8 points)
Solution: (1)3x+3=9. 1.
3x=6。 3 points
X=2。 4 points
(2)2(2x- 1)= 6-(2x- 1). 1。
4x-2=6-2x+ 1。 Two points.
6x=9。 3 points
X=32。 4 points
22.(6 points)
Solution:
(1) correct drawing, AD
(2) The drawing is correct, with a score of de ∨ ab.6..
23.(6 points)
Solution: (1) cuboid; 2 points
(2)2? (3? 3+3? 4+3? 4)=66 cm2。 6 points
A: The surface area of this geometry is 66 cm2.
24.(6 points)
Solution: What is Xiao Ming's mistake? X in his hypothesis has different meanings from X in the equation? .2 points
Correct answer: Suppose there are X students in this class.
According to the meaning, x6-x8=2. Four points.
Solve this equation and get x=48. Five points.
A: There are 48 students in this class. Six points.
25.(8 points)
Solution:
(1) Because the share is equal? AOE？ AOE= 120？ ,
So what? AOF= 12？ AOE=60？ .2 points
Because? CD，
So what? COF=90？ .3 points
So what? AOC=？ COF-？ AOF=30？ .4 points
Because? AOC and? BOD is diagonal,
So what? BOD=？ AOC=30？ .5 points
(2)? AOC 、? BOD？ Female deer. 8 points
26.(8 points)
Solution: (1)12,6,3; 3 points
(2) Let the distance between point P and point M and point N be equal after t seconds of movement.
① If p is the midpoint of MN, then t-(- 12+6t)=6+2t-t,
The solution is t= 1. 6.
(2) If point M and point N coincide,-12+6t=6+2t,
The result is t=92. 8.
Answer: After 1 or 92 seconds, the distance from point P to point M and point N is equal.
27.(8 points)
Solution: (1) 45,55,150; 3 points
(2) such as: 3 o'clock; (The answer is not unique) 4 points
(3) Suppose that the clock face angle is equal to 90 after X minutes from 7: 30? .
According to the meaning, the score is 6x-0.5x-45=90. 6.
Get 0.7 points.
A: On the clock face, between 7: 30 and 8: 00, the angle of the clock face is equal to 90? The time is 7: 546 1 1.8.