Math Problems and Answers of Grade Two in Junior High School

Math test questions of junior two

(Time: 120 minutes, full mark: 150 minutes)

1. Multiple choice questions: this question 14. Of the four options given in each question, only one is correct. Please select the correct option. 4 points for each question, 56 points for * * *, and 0 point for more than one wrong question.

1, the following statement is true ()

The degree of a. is 0 b. It is a monomial.

C is the monomial d, and the coefficient is 5.

2, the following statement, is not correct ()

A. the numerical factor in a single item is called the coefficient of the item.

A number or letter is also a monomial.

The sum of the exponents of all the letters in a monomial is called the number of times of this monomial.

D. The degree of monomial with letters in polynomial is the degree of polynomial.

3. In the following four pictures, each small square is colored. If two opposite sides of a cube are required to have the same color, it can't be an expanded view of the cube ().

4. Only cubic polynomials are included, and the item that cannot be included is ().

A.B. C. D。

5. The same equation as the solution of the equation is ()

A, B, C, D,

6. The equation takes the denominator as the unit, and the correct one is ().

A, B,

C, D,

7. A businessman sold two clothes at the price of 120 yuan, one made a profit of 25% and the other lost 25%. In this transaction, the businessman ()

A, earn 16 yuan b, compensate 16 yuan c, don't earn, don't compensate d, uncertain.

8. It is known that the length of line segment AB is 75px. Now extend AB to point C, so that BC=3AB. Take the midpoint d of line BC.

The length of line AD is ()

a、 1 12.5px B、 150px C、 175px D、 187.5px。

9. Among the following monomials, the different item is ().

A.-x2y and -yx2b. -3 and 0 c.-a2bc and ab2c d.-mnt and -8mnt.

10, if both m and n are quartic polynomials, then the degree of polynomial M+N is ().

A. It must be 4 b, not more than 4c, not less than 4d and 8.

1 1, the solution of the equation is that it is equal to ()

A B C D

12, a young singer grand prix held in a city, this year, there were * * A participants, and the number of participants increased by 20% compared with last year, with 3 more people. If the number of participants last year was X, then X is ().

A, B,

C, D,

13. Among the following operations, the correct result is ().

a、4+5ab=9ab B、6xy-x=6y C、6a3+4a3= 10a6 D、8a2b-8ba2=0

14, as shown in the following figure, in order to make a test tube rack, four round holes were drilled on the centimeter-long wooden strip, and the diameter of each hole was 50px, which was equal to ().

Diameter cm Diameter cm

2. Fill in the blanks: There are 5 small questions in this question, with 4 points for each small question and 20 points for * * *. Only the final result is needed.

15 is called a linear equation.

16. Write a linear equation with a solution of 2.

17. There are three non-overlapping straight lines on the same plane, so these three straight lines have at most one intersection point.

18, if m-n=50, then n-m = _ _ _ _ _ _

19. Observe the following monomials: 0, 3x2, 8x3, 15x4, 24x5, ... According to this rule, the sixth monomial is _ _ _ _ _.

Third, the solution: this big question is ***7 small questions, with a score of ***74. Write the necessary text description and solution steps for the solution.

20. (The full mark of this question is 15):

(1) Simplified evaluation: 3(2b-3a)+(2a-3b), where a=2 and b=3.

(2) Simplified to 4x2-3xy+y2+3(x2+xy-5y2).

(3) The circumference of a rectangle is, one side is and the other side is.

2 1, solving the equation (full mark of this question 15):

( 1)

(2)

(3)

22. (The full mark of this question is 7) If yes, the value to be obtained.

23. (The full mark of this question is 7) Given the line segment AB=200px, make the line segment BC on the straight line AB and BC=75px, and find the length of the line segment AC. (Hint: There are two solutions. )

24. Calculate the value of (2x3-3x2y)-(x3+y3)+(-x3+3x2y-y3), where x=, y=- 1. Some students pointed out that the condition x= given in the title is redundant. Is his statement reasonable? Why?

25. (Full score for this question 10) The plane flies between two cities, with 5 hours downwind and 6 hours headwind. The known wind speed is 24 kilometers per hour. Find out the speed of the plane and the distance between the two cities.

26. (The full mark of this question is 12) When a supermarket holds promotional activities during the Asian Games, as long as consumers spend 80 yuan to buy membership cards and use this card to buy goods in the store, they will all pay 10% off the list price; If there is no membership card, all goods will be paid at the original price. If you want to buy goods with a total price of x yuan.

(1) What are the respective costs of the two consumption patterns?

(2) Under what circumstances does it cost as much to buy a membership card as not to buy it?

(3) What should Xiao Zhang do economically when he buys a commodity with a price tag of 200 yuan? How much money can you save?

(4) What should Xiao Zhang do economically if he buys a commodity with a price tag of 1000 yuan? How much money can you save?

Math test questions of junior two

school

(full name)

class

Note to candidates: 1, test time 120 minutes.

2, the whole volume * * * three questions, the total score 120 points.

Title number

one

two

three

aggregate score

nucleosome

Take the lead

1. Fill in the blanks (1-12, 3 points for each small question, 36 points for * * *).

1. The length of the hypotenuse is 325px, and the length of the right angle is 125px. The area of this right triangle is.

The minimum value is 2. 2+ Yes.

3. The lengths of the two diagonal lines of the diamond are 150px and 200px respectively, so the distance between the two opposite sides of the diamond is.

4. If point A is in the second quadrant, the distance to the X axis is 3 and the distance to the Y axis is 2, then the coordinate of point A is.

5. Write a functional relationship between Y and X, so that the range of the independent variable X is x ≥2 and x≠3, then this functional relationship can be.

6. if it is a binary linear equation about x and y, then m, n.

7. If the triangle area enclosed by the linear function y=x+b and the coordinate axis is 8, then the linear resolution function is.

There are six figures, and their average value is 12. Add a number 5 to get the average of these seven numbers.

Yes

9. Simplify.

10. In △ABC, AB = 15, AC = 13, and AD = 12, then the circumference of △ABC is.

1 1. Take the BC side of the square ABCD as one side and make an equilateral triangle BCE, then ∠ AED =.

12. As shown in the figure, in the parallelogram ABCD, the intersection point P of EF∨AB, GH∨BC, EF and GH is on BD, and there are several pairs of quadrangles with equal areas in the figure.

Second, multiple-choice questions (13-22 small questions, 3 points for each small question, 30 points for * * *)

13. If the ratio of three sides of a triangle is, then the angle subtended by the smallest side is ().

A. 30 BC, 45 BC, 60 BC, 90 BC

14. The number of integers satisfied is ()

A. 1

15. Among the following figures, the one that can overlap with the original figure after rotating 60 is ().

A. regular hexagon B. regular pentagon C. square D. regular triangle

16. It is known that the linear function y=kx-k, and if y decreases with the increase of x, the image of this function will not pass ().

A. first quadrant B. second quadrant C. third quadrant D. fourth quadrant

17. If the monomials are similar, then the product of these two monomials is ().

A.B. C. D。

18. As shown in the figure, in trapezoidal ABCD, ad∨BC, DC⊥BC, the trapezoid is folded along the diagonal BD. If a happens to fall at point A' on the DC side, if

∠ A' BC = 20, then the number of times ∠A'BD is ().

19. As shown in the figure, in the rectangular ABCD, AB=2, BC= 1, and the moving point P moves at a constant speed along the route B→C→D (excluding point B), then the function image between the area S of △ABP and the distance X of point P is roughly ().

20. The positive integer solution of binary linear equation 2x+y=5 has ().

A. 1 B. 2 C. 3 D.4

2 1. As shown in the figure, in the parallelogram ABCD, it is known that AD = 8cm, AB = 150px, and DE bisects ∠ADC and intersects BC at point E, then BE is equal to ().

A.50px b 10px c 15px D20px

22. The known point P(x, y) is in the function.

On the image, then the point P should be in the plane rectangular coordinate system ()

A. first quadrant B. second quadrant C. third quadrant D. fourth quadrant

Iii. Answering questions (***54 points)

23.(4 points) Simplify:

24.(4 points) Solve the equation:

25.(8 points) A vendor sells potatoes in the market. He brought some small change for convenience. After selling some at the market price, sell them at a reduced price. The relationship between the number of kilograms of potatoes and the amount of money (including change) in his hand is shown in the figure. Answer with pictures:

(1) How much has the manufacturer changed?

(2) What was his price per kilogram of potatoes before the price reduction?

(3) After reducing the price, he sold the surplus potatoes in 0.8 yuan per kilogram. At this time, the money (including change) in his hand is 62 yuan. Ask him how many kilograms of potatoes he brought.

26.(8 points) After a shopping mall purchases goods, it will increase the price by 40% as the sales price. Shopping malls engage in preferential sales promotion, and customers decide to draw lots to decide the discount. A customer buys two kinds of goods, A and B, and gets a discount of 30% and 10% respectively, paying 399 yuan. The sum of the original prices of these two commodities is 490 yuan. What are the purchase prices of these two commodities respectively?

27.( 10) When a city sells a house in the form of installment benefits, the government gives certain preferential treatment. Wang Hongjia bought a house at the current price of 120000 yuan. Pay a down payment of 30,000 yuan when buying a house (the first year). Starting from the second year, the house payment is 5,000 yuan and the interest of the remaining arrears of the previous year, and the annual interest rate of the remaining arrears is 0.4%.

(1) If Wang Hongjia paid the house price of Y yuan in X years (x≥2), find the functional relationship between Y and X;

(2) Seek the house payment payable in the tenth year.

ΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔ

28.( 10) As shown in the figure, in the right-angled trapezoidal abcd, ABCD, AD⊥CD, AB = BC and AE⊥BC in E, verification: CD = CE.

29.( 10) As shown in the figure, the side length of the square ABCD is 4, e is the midpoint of CD, point F is on BC, AE divides equally ∠DAF, and find the length of FC.

Math answer of grade two in junior high school

1. 1, 750px22,53, 120px 4, (-2,3) 5, (the answer is not unique) 6, m=3 n=0.

7,8, 1 1 9,1/kloc-0,32 or 42 1 1, 30 or15012,5.

Two. 13，B 14，D 15，A 16，C 17，D 18，C 19，B 20，B 2 1，A 22。

Iii. Answering questions (***54 points)

23: 1- 24:

25. Solution: (1) 10 yuan 2 points.

(2) 1.2 yuan 3 points.

(3)50 kg, 3 points.

26. Solution: If the purchase prices of A and B are X yuan and Y yuan respectively, then 1 minute.

5 points

Equation solving score: 7 points.