(Examination time: 100 minutes, total score 100 points)
First, multiple-choice questions (this big question * * 10 small questions, 3 points for each small question, 30 points for * * *)
1. The solution of equation 2x+ 1 = 5 is ().
A.4 B.3 C.2 D. 1
2. It is known to be a linear equation about x, so the value of m is ().
A. 1 B.- 1 C. D
3. If is, the value of is ()
A. 1
4. Set, when,; When, then the values of k and b are () respectively.
A.B. C. D。
5. The number of non-negative integer solutions of inequality is ()
A.0 B. 1 C.2 D.3
6. Among the four sticks with the following length, the one that can be nailed into a triangle with two sticks with the length of 4cm and 9cm respectively is ().
A.4cm B.5cm C.9cm D. 13cm
7. An external angle of a triangle is an acute angle, so the shape of the triangle is ().
A, acute triangle B, obtuse triangle C, right triangle D, uncertainty
8. If the equation: x+2y=-4, 2x-y=7, y-kx+9=0 has a common * * * solution, then the value of k is ().
A.-3 B. 3 C. 6 D. -6
9. As shown on the right, AD is the height of the triangle ().
A.3 B.4
C.5 D.6
10. During the New Year's Day, department stores sold a certain commodity at a 20% discount for promotion, and still made a profit of 160 yuan. If the price of this commodity is 2200 yuan, then its cost price is ().
A. 1600 yuan B. 1800 yuan C.2000 yuan D.2 100 yuan.
2. Fill in the blanks (this big question * * 10 small question, 3 points for each small question, 30 points for * * *).
1 1. If the solution of equation 3x-6 = ax is x=4, then the value of algebraic expression A2-3a+ 1 is _ _ _ _ _.
12. If the solution of the equations is also the solution of the binary linear equations about y, then.
13. The integer solution of the inequality group is
14. In order to prevent an old wooden door from deforming, the carpenter nailed a batten on the back of the wooden door and did so.
The truth is.
15. If 5 times x 1 is less than 3 times X minus 5, the range of X is.
16. Given that the ratio of the three outer angles of a triangle is 2: 3: 4, the three inner angles of this triangle are respectively.
17. Wei Wu bought 8 stamps and 10 stamps *** 16, and spent 1 yuan 46 cents. The number of 8 stamps and 10 stamps is _ _ _ _ _ _ _.
18. If two sides of an isosceles triangle are 9 and 5 respectively, the circumference of the triangle is
19. The positive integer solution of a given inequality is 1, 2, and the range of a is
20. In order to encourage residents to save water, a county in our city charges tap water users in sections: if the monthly water consumption does not exceed 7 cubic meters, it will be charged per cubic meter 1 yuan; If the monthly water consumption exceeds 7 cubic meters, the excess will be charged according to the 2 yuan per cubic meter. If a household pays the water fee of 17 yuan in May this year, the household's water consumption in May this year is _ _ _ _ cubic meters.
Third, answer the question (this big question is ***6 small questions, ***40 points)
2 1. Solve the following equation (group) (score of this question 10)
( 1)-5+ =2x+。 (2)
22. Solve the following inequalities (groups) and express their solutions on the number axis (subject 10).
( 1) (2)
23. The value of the sum of the solutions of the equation is also satisfied, and the value is obtained. (5 points for this question)
24. As shown in the figure: ∠A=65? ,∠ABD=∠DCE=30? , CE divides ∠ACB, and finds ∠BEC∠EBC. (5 points for this question)
There are 20 multiple-choice questions in the intelligence test. The grading standard is 1 topic with 5 points, and 2 points will be deducted for wrong 1 topic. Do not answer questions, do not score points, do not deduct points. Xiao Ming has two unanswered questions. Q: How many questions are answered correctly at least, and the total score is not less than 60 points? How many questions can you answer correctly? (5 points for this question)
26. Xiaoming went to a wholesale and retail stationery store to buy pencils and erasers for 30 students in the school art activity group. According to the regulations of the store, if the whole group buys 2 pencils and 1 eraser, it must be calculated at the retail price and handed over to 39 yuan; If everyone in the group buys three pencils and two erasers, it can be calculated according to the wholesale price and needs to be delivered to 42 yuan. It is known that the wholesale price of each pencil is 0. 1 yuan lower than the retail price, and the wholesale price of each eraser is 0.25 yuan lower than the retail price. What is the wholesale price of each pencil and eraser in this shop? (5 points for this question)
Choose a topic (5 points for this topic)
27. After Mr. Zhang arrived at Mao Ping Port in Zigui, Yichang by boat along the Yangtze River, he had to transfer at Yichang Three Gorges Airport 70 kilometers away before boarding the plane. At this time, there are still five hours before boarding time. It is known that the average speed of cars from Zigui Mao Ping Port to Yichang Three Gorges Airport is 50 km/h, and there are famous tourist attractions such as Three Gorges Project and Xiling Gorge on the way. If you visit the Three Gorges Project by the way, it will take more than 2 hours, and it will take 1 hour to visit Xiling Gorge. Will Mr. Zhang's visit to these two scenic spots affect his boarding at the Three Gorges Airport?
Simulation questions of the mid-term exam in the next semester of junior one mathematics
(Examination time: 100 minutes, total score 100 points)
First, multiple-choice questions (this big question * * 10 small questions, 3 points for each small question, 30 points for * * *)
1. The solution of equation 2x+ 1 = 5 is ().
A.4 B.3 C.2 D. 1
2. It is known to be a linear equation about x, so the value of m is ().
A. 1 B.- 1 C. D
3. If is, the value of is ()
A. 1
4. Set, when,; When, then the values of k and b are () respectively.
A.B. C. D。
5. The number of non-negative integer solutions of inequality is ()
A.0 B. 1 C.2 D.3
6. Among the four sticks with the following length, the one that can be nailed into a triangle with two sticks with the length of 4cm and 9cm respectively is ().
A.4cm B.5cm C.9cm D. 13cm
7. An external angle of a triangle is an acute angle, so the shape of the triangle is ().
A, acute triangle B, obtuse triangle C, right triangle D, uncertainty
8. If the equation: x+2y=-4, 2x-y=7, y-kx+9=0 has a common * * * solution, then the value of k is ().
A.-3 B. 3 C. 6 D. -6
9. As shown on the right, AD is the height of the triangle ().
A.3 B.4
C.5 D.6
10. During the New Year's Day, department stores sold a certain commodity at a 20% discount for promotion, and still made a profit of 160 yuan. If the price of this commodity is 2200 yuan, then its cost price is ().
A. 1600 yuan B. 1800 yuan C.2000 yuan D.2 100 yuan.
2. Fill in the blanks (this big question * * 10 small question, 3 points for each small question, 30 points for * * *).
1 1. If the solution of equation 3x-6 = ax is x=4, then the value of algebraic expression A2-3a+ 1 is _ _ _ _ _.
12. If the solution of the equations is also the solution of the binary linear equations about y, then.
13. The integer solution of the inequality group is
14. In order to prevent an old wooden door from deforming, the carpenter nailed a batten on the back of the wooden door and did so.
The truth is.
15. If 5 times x 1 is less than 3 times X minus 5, the range of X is.
16. Given that the ratio of the three outer angles of a triangle is 2: 3: 4, the three inner angles of this triangle are respectively.
17. Wei Wu bought 8 stamps and 10 stamps *** 16, and spent 1 yuan 46 cents. The number of 8 stamps and 10 stamps is _ _ _ _ _ _ _.
18. If two sides of an isosceles triangle are 9 and 5 respectively, the circumference of the triangle is
19. The positive integer solution of a given inequality is 1, 2, and the range of a is
20. In order to encourage residents to save water, a county in our city charges tap water users in sections: if the monthly water consumption does not exceed 7 cubic meters, it will be charged per cubic meter 1 yuan; If the monthly water consumption exceeds 7 cubic meters, the excess will be charged according to the 2 yuan per cubic meter. If a household pays the water fee of 17 yuan in May this year, the household's water consumption in May this year is _ _ _ _ cubic meters.
Third, answer the question (this big question is ***6 small questions, ***40 points)
2 1. Solve the following equation (group) (score of this question 10)
( 1)-5+ =2x+。 (2)
22. Solve the following inequalities (groups) and express their solutions on the number axis (subject 10).
( 1) (2)
23. The value of the sum of the solutions of the equation is also satisfied, and the value is obtained. (5 points for this question)
24. As shown in the figure: ∠A=65? ,∠ABD=∠DCE=30? , CE divides ∠ACB, and finds ∠BEC∠EBC. (5 points for this question)
There are 20 multiple-choice questions in the intelligence test. The grading standard is 1 topic with 5 points, and 2 points will be deducted for wrong 1 topic. Do not answer questions, do not score points, do not deduct points. Xiao Ming has two unanswered questions. Q: How many questions are answered correctly at least, and the total score is not less than 60 points? How many questions can you answer correctly? (5 points for this question)
26. Xiaoming went to a wholesale and retail stationery store to buy pencils and erasers for 30 students in the school art activity group. According to the regulations of the store, if the whole group buys 2 pencils and 1 eraser, it must be calculated at the retail price and handed over to 39 yuan; If everyone in the group buys three pencils and two erasers, it can be calculated according to the wholesale price and needs to be delivered to 42 yuan. It is known that the wholesale price of each pencil is 0. 1 yuan lower than the retail price, and the wholesale price of each eraser is 0.25 yuan lower than the retail price. What is the wholesale price of each pencil and eraser in this shop? (5 points for this question)
Choose a topic (5 points for this topic)
27. After Mr. Zhang arrived at Mao Ping Port in Zigui, Yichang by boat along the Yangtze River, he had to transfer at Yichang Three Gorges Airport 70 kilometers away before boarding the plane. At this time, there are still five hours before boarding time. It is known that the average speed of cars from Zigui Mao Ping Port to Yichang Three Gorges Airport is 50 km/h, and there are famous tourist attractions such as Three Gorges Project and Xiling Gorge on the way. If you visit the Three Gorges Project by the way, it will take more than 2 hours, and it will take 1 hour to visit Xiling Gorge. Will Mr. Zhang's visit to these two scenic spots affect his boarding at the Three Gorges Airport?