Mid-term examination questions of the second volume of junior one mathematics 1. Multiple choice questions (this big question * * 12 small questions, 4 points for each small question, 48 points for * * *. Only one of the four options given in each small question meets the requirements of the topic. )
1. In the picture below? 1 and? 2 complementary angle is ()
2. The following calculation is correct ()
A.(xy)3=xy3 B.x5？ x5=x
C.3x2？ 5x 3 = 15x 5d . 5x2y 3+2x2y 3 = 10x4y 9
3. The following propositions: ① Two equal angles are antipodal angles; 2 if? 1+? 2= 180? And then what? 1 and? ② Complement each other; ③ The internal angles of the same side are complementary; ④ The vertical segment is the shortest; ⑤ The complementary angles of the same angle or equal angle are equal; 6. After a point outside the straight line, there is one and only one straight line parallel to this straight line, in which the pseudo-proposition is ().
A. 1 B. 2 C. 3 D.4
4. Known as the solution of binary linear equations, then the value is ().
A.B. C. D。
5. As shown in the figure, AB∨CD, AE equally divided? The taxi will hand in the CD at E, if? C=50？ And then what? AED=()
.65 caliber? B. 1 15？ C. 125？ D. 130？
Question 5
6. As shown in the figure, AB∨CD, the following conclusion is wrong ().
A.B. C. D。
7. In the following calculation, the correct operation is ().
A.(a﹣b)(a﹣b)=a2﹣b2 b.(x+2)(x﹣2)=x2﹣2
C.(2x+ 1)(2x﹣ 1)=2x2﹣ 1 d.(﹣3x+2)(﹣3x﹣2)=9x2﹣4
8. In the following operation, () is wrong.
①(2x+y)2=4x2+y2，②(a-3b)2= a2-9b2，③(-x-y)2=x2-2xy+y2，④(x-？ )2=x2-2x+，
1。
Xiao Ming's mother bought two kinds of medicinal materials, A and B, with 280 yuan. A kind of medicinal materials is 20 yuan per catty, and B kind of medicinal materials is 60 jins per catty. A kind of medicinal materials bought 2 jins more than B kind of medicinal materials. Suppose I bought X Jin of medicinal materials A and Y Jin of medicinal materials B, which equations do you think Xiao Ming should make to figure out how much each of the two kinds of medicinal materials is? ( )
Answer. B. C. D。
10. There is a problem recorded in China's ancient mathematical masterpiece Sun Tzu's Art of War, to the effect that 100 horse just pulled 100 tile. It is known that 1 horse can pull 3 watts and 3 ponies can pull 1 watt. How many horses and ponies are there? If a big horse has X horses and a small horse has Y horses, then the countable equation is ()
A.B. C. D。
1 1. As shown in the figure, the two vertices A and B of the straight line l 1∑l2 and the isosceles right angle △ABC fall on the straight line l 1 and L2 respectively. ACB=90？ What if? 1= 15? And then what? The degree of 2 is ()
A.35? B.30？ C. 25？ D. 20？
12. Observe the following types and their extensions.
Please guess that the coefficient of the third term of the expansion is ()
A. 35 BC to 45 BC
Volume 2 (non-multiple choice questions * * 102)
Fill-in-the-blank question (This big question has 6 small questions, each with 4 points and ***24 points. Fill in the answers on the lines of the questions. )
13. the cell diameter of influenza a H 1N 1 spherical virus is about 0.00000 156 m, which is _ _ _ _ _ by scientific notation.
14. If it is a binary linear equation, then a =. b =。
15.a and B are 42km apart. If they go in opposite directions at the same time, they can meet in six hours. If two people walk in the same direction at the same time, B can catch up with A after 14 hours. Let the speed of A be x km/h and the speed of B be y km/h, and the binary linear equations are listed as follows.
16. As shown in the figure, the following conditions are given: ①? 1=? 2,②? B=？ 5,③? 3=? 4,④? 5=? d，⑤？ B+？ BCD= 180？ , in which the condition for obtaining AD∨BC is. (Fill in serial number)
The conditions for obtaining AB∑CD are. (Fill in serial number)
MapNo. 16
17. If a>0 and, the value of is _ _. The value of is _ _.
18. If two sides of two angles are parallel, and one angle is 4 times smaller than the other, 30? The degrees of these two angles are respectively.
Third, the solution (this big problem * * 10 small problem. ***78 points. The solution should be written in words, proof process or calculation steps. )
19. Calculation (3 points for each small question, *** 12 points)
( 1) (2)
20. Solve the equation (3 points for each small question, ***6 points)
(1) Solve the equation: (2) Solve the equation:
2 1. Simplified evaluation (4 points for each small question, 8 points for * * *)
(1). Among them.
(2) among them
22. Drawing with a ruler (full score of 4 for this small question)
As shown in the figure, the parallel line EF passing through point A is BC.
Note: You are only allowed to draw with a ruler and a ruler, and you are not allowed to write. You should leave traces of drawing and write a conclusion.
23. Fill in the blanks and complete the question. (The full score for this little question is 7)
As shown in the figure, it is known that EF∨AD,? 1=? 2,? BAC=70？ Will you ask? The process of AGD has been completed.
Solution: ∫EF∨AD (known)
2= ( )
Again? 1=? 2 (known)
1= (equivalent substitution)
? AB∨GD()
BAC+ = 180？ ( )
∵? BAC=70？ (known)
AGD=？ Question 23
24. Make a binary linear equation to solve the application problem (the score of this small problem is 7).
Last year, the total income of a factory exceeded the total expenditure by 500 thousand yuan. This year, the total revenue increased by 65,438+00% compared with last year, and the total expenditure was saved by 20%, so the total revenue was 654,380+0 million yuan more than the total expenditure. Find out the total income and total expenditure last year.
25. Make a binary linear equation to solve the application problem (the full score of this small question is 8 points)
Given a two-digit number, the sum of the number on the tenth place and the number on the tenth place is 12. If the number in the tenth place is reversed, the new number is smaller than the original number by 18, and the original two-digit number is found.
26. (The full score for this short question is 8)
(1) Read first and then fill in the blanks:
(x+5)(x+6)= x2+ 1 1x+30；
(x-5)(x-6)= x2- 1 1x+30；
(x-5)(x+6)= x2+x-30；
(x+5)(x-6)=x2-x-30。
Observe the above formula and write the following results directly according to the law:
(a+90)(a- 100)= _ _ _ _ _ _ _ _ _ _ _ _； (y-80)(y-90)=____________。
(2) Read first, then fill in the blanks:
;
;
;
.
Observe the above types: ① Summarize the general rules:
________;
② Press ① directly to write 1+3+32+? The result of+367+368 _ _ _ _ _ _.
27. (The full score of this small question is 8) (Please indicate the important reasoning basis in brackets)
As shown in the figure, A, B and C are on the same straight line. 1=? 2,? 3=? D, try to judge the positional relationship between BD and CF, and explain the reasons.
28. (Full score for this small question 10) (Please indicate the important reasoning basis in brackets)
As shown in the figure, AM∨BN,? A=60？ Point p is the moving point on the ray AM (not coincident with point a), and BC and BD are equally divided? Headquarters base and? PBN, cross ray AM at point c and point d respectively.
(1) Q? Degree of CBD;
(2) When point P moves,? APB and? Does the quantitative relationship between ADB change accordingly? If not, please write down the relationship between them and explain the reasons; If yes, please write down the law of change.
(3) When point P moves to make? ACB=？ ABD？ The degree of ABC is.
Math 1 mid-term examination questions in volume 2. Multiple choice problem
The title is123455678911112.
Answer C C B C B A D D A C B B
fill (up) a vacancy
13. This question is 4 points each time.
14.2,2 This question is 2 points each.
15. 4 points for each question.
16.①④, ② ③ ⑤ 2 points for each blank question.
17., 72 2 points for each blank.
18. 10? , 10? Or 42? , 138? Answer a situation correctly and get 2 points.
Three answering questions
19.( 1) Original formula =...2 points.
=...3 points
(2) Original formula =... 1.
=...3 points
(3) Original formula =... 1.
=...3 points
(4) Original formula =...2 points.
=...3 points
20.( 1) solution: by? Have to:
Will. Substitution? Get:
Solution: ........... 1.
Will be replaced. Score: ... 2 points.
? The solution of the equation is .......... 3.
(2) Solution: 3+2:.......... 1.
Will be replaced. Get:
Solution: ... 2 points.
? The solution of the equation is ... 3 points.
2 1.( 1) solution: original formula =.......... 1.
=...2 points
=...3 points
Replace with:
Original formula =...4 points.
(2) Solution: The original formula =.......... 1.
=...2 points
=..........3 points.
Replace with:
Original formula = 23...4 points.
22. Omit (make an angle equal to a known angle (internal angle or congruent angle),
And mark the straight line EF3 point, and draw the conclusion 1 point)
23. (Each question 1)
Solution: ∫EF∨AD (known)
2= ? 3 (two straight lines are parallel and have the same angle)
Again? 1=? 2 (known)
1= ? 3 (equivalent substitution)
? AB∨GD (internal dislocation angles are equal and two straight lines are parallel)
BAC+？ AGD= 180？ (The complementary angles of two parallel lines which are internal angles to each other)
∵? BAC=70？ (known)
AGD= 1 10？
24. Solution: Suppose the total income last year was10,000 yuan and the total expenditure was10,000.1.
According to the meaning of the question: 4 points
Solution: 6 points
A: Last year, the total income was 2 million, and the total expenditure was 6.5438+0.5 million. Seven points
25. Solution: Let one digit be, and ten digits be. 1.
According to the meaning of the question: 5 points
Solution: 7 points
A: The original two-digit number was 75. Eight points.
26. (2 points for each blank) (1),
(2) ,
27. Solution: BD and CF 1 in parallel.
Proof: ∫ 1 =? 2,
? DA∨BF (offset angle is equal, two straight lines are parallel) 3 points.
D=？ DBF (two straight lines are parallel and the internal dislocation angles are equal) 5 points.
∵? 3=? D
DBF=？ 3 (equivalent substitution) 6 points
? BD∨CF (offset angle is equal and two straight lines are parallel) 8 points.
(Note: The main reason is not specified 1 minute)
28.( 1)∵AM∨BN，
A+？ ABN= 180？ , (complementary angle of two parallel lines with internal angles) 1.
∵? A=60？
ABN= 120？ 2 points
∵BC and BD split equally? Headquarters base and? PBN，
CBP=？ ABP，？ DBP=？ NBP, 3 points
CBD=？ ABN=60？ 4 points
② There is no change. APB=2？ ADB 5 points
Proof? ∫AM∨BN，
APB=？ PBN (two straight lines are parallel and the internal dislocation angles are equal) 6 points.
? ADB=？ DBN (two straight lines are parallel and the internal dislocation angles are equal) 7 points.
And ∵BD split equally? PBN，
PBN =2？ DBN 8 points
APB=2？ ADB 9 points
(3)? ABC=30？ 10 point
(Note: The main reason is not specified 1 minute)