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answer

volume one

I. True or false questions (2 points for each question, 20 points for * * *)

1 and the equation x+y = 0 are binary linear equations.

2. In equation 4x-3y= 1, 3. When x= 1, 4, y = 1.

5. This solution is the solution of equation X-6Y+4 = 0.

6. X>3 is unary once not 7, and the equation X+1>; Solution set 4.

8. Know X>y, then-X.

9, number 10, equation 4x

1 1, X=2 is not 12, equation x+2.

The arithmetic square root of 13 is 0. 14.

The cube root of 14 and X3 is X. 。

10, a number has two square roots, which is reciprocal.

Second, multiple-choice questions (4 points for each small question, ***40 points)

1 1, which of the following equations is a binary linear equation ()

a、x-B 、= 1 B、xy=2 C、4x2-C、y=3 D、。

12, the solution of binary linear equations is-().

A.B. C. D。

13, the following equation, belongs to the binary linear equations is ().

A, B, C, D,

14. Among the following inequalities, it is ............................................ ().

A, B, C, D,

15. If the following categories are correct, it must be ...................................... ().

A, B, C, D,

16, known, then-

(a) is one of its solutions; (b) is its solution set.

(c) is its solution set; (d) is its solution set.

17. When blasting in a mountain-breaking project, it is known that the burning speed of the fuse is 0.5cm/s and the escape speed of people is 4 m/s. In order to make the blaster run safely to the safety zone beyond 100m, the inequality of the fuse length x(cm) should be ..................................................................

a、≥ 100 B、≤ 100 C 、< 100 D 、> 100

18, the following statement is correct: ....................................... ()

A rational number is only a finite decimal, and b irrational number is an infinite decimal.

C infinite decimal is irrational, and d is fraction.

19, the following correct conclusion is ...................................... ().

Any point on axis A represents a unique rational number, and any point on axis B represents a unique irrational number.

There is a one-to-one correspondence between the real number of C and the points on the number axis. The number represented by the right point on the D axis is not necessarily greater than the number represented by the left point.

20, the following statement, the correct is ()

(1) The sum of irrational numbers and irrational numbers must still be irrational numbers. (b) There is no maximum rational number, but there is a minimum rational number.

(c) The product of irrational number and rational number must still be irrational number (d) If x2=64, then =2.

Volume b

Three, multiple-choice questions (3 points per question, ***36 points)

2 1, the number of solutions of binary linear equation 3a+b = 9 in the positive integer range is ().

a、0 B、 1 C、2 D、3

22. If the binary linear equation 3x-2y = 1 has a positive integer solution, then the value of x is ().

A, 0 B, even c, odd d, odd or even.

23, using substitution elimination method to solve equations, substitution elimination method, the correct is ().

Y=3x+2 starts from ①, and 3x = 1 1-2 (3x+2) is substituted into ②.

Substitute the value in ② into ②.

Replace one of ① with ②.

② 3x = 1 1-2y, ① 1 1-2y-y = 2.

24, the solution of the equation is ()

25. Party A and Party B start from two places which are s kilometers apart at the same time. If they drive in the same direction, the faster one will catch up with the slower one after t 1 hour. If they go in the opposite direction, and after t2 hours, they meet, then the speed of the fast is the speed of the slow ().

A times b times c times d times.

26. if 2x │ m │+(m+1) y = 3m-1is a binary linear equation about x and y, then the range of m is () a, m≦- 1 b, m m =1c.

27, known a, b two numbers on the number axis position as shown in the figure, let m = a+b, n =-a+b, h = a-b, then the following is correct ().

Morning > morning > afternoon; b . H > M > N；

C.h > M > N； D.M>H>N

28, known as (x+3) 2+= 0, y is negative, then the range of m is

More than 9 am, less than 9 pm, less than 9 pm

29, when 0

A.<x & ltx2 b < X2<X C. X & ltX2<X2 & lt； X & lt。

30, the following operation, the number of errors is ()

① ,② ,③ ,④

1 (B) 2 (C) 3 (D) 4。

The arithmetic square root of 3 1 is ()

Paragraph 1, paragraph 2, paragraph 3, item 4

32. If is a real number, and the value of is ().

(A) (B) (C) or (d)

Fill in the blanks (2 points for each question, ***8 points)

33, make up a binary linear equations have a solution is.

34. Logging with a rope, if the rope is 30% off, the rope is five feet more; If the rope is 40% off, the rope is one foot more. What is the geometric relationship between rope length and well depth? If the rope length is x feet and the well depth is y feet, the equation can be listed as follows

35. Use a matchstick to build a square according to the following method. If you build it this way, you need _ _ _ _ _ matches to build n such squares.

……

36. It is known that x = 3 is the solution of the equation-2 = x-1,then the inequality (2-) x 5-

38. When a is an integer value, the equation has a positive integer solution.

39. The contents of vitamins B and C in two foods and the costs of foods A and B are known as follows:

Jiayi

Vitamin B (unit/kg)

Vitamin C (unit/kg) 700 100

Cost (yuan/kg) 5 4

Now, two kinds of food are mixed into 100kg mixed food. Let the contents of food A and food B in the mixed food be x kg and y kg respectively. For example, mixed food requires no less than 40,000 units of vitamin B and no less than 28,000 units of vitamin C.

Find the value range of x;

What is the lowest cost of mixed food that meets the problem when Party A and Party B each take how many kilograms? And find the lowest cost price.

A company plans to produce a new type of motorcycle this year. The following information is provided by all localities:

⑴ Supply Department: Last year, the factory stocked 1 10,000 wheels, and the wheel workshop could produce10.5 million wheels on average every month, and each vehicle needs to be equipped with 2 wheels.

⑵ Production Department: The factory can load at least 1000 vehicles per month, but not more than 12000 vehicles.

⑶ Sales Office: The sales volume will be at least 13000 vehicles next year.

(3) The ex-factory unit price of this car is 1000 yuan/car.

If you are the prime minister of this factory, please determine the range of the total sales of this factory.

4 1 and binary linear equation ax+by=c are like a straight line in plane rectangular coordinates, so binary linear equation is also called linear equation. It is known that two solutions of the linear equation l 1: ax+by= 1 about x and y are sum linear equation l2:X+Y=3.

(1) find the equation of the straight line l 1.

⑵ Find the coordinates of the intersection of two straight lines.

(3) If the intersection of two straight lines is A, the straight line l 1 intersects the X axis in B, the straight line l2 intersects the X axis in C, and the moving point P starts from B and moves from B to C at a speed of 1 unit per second. When point P starts a few seconds later, the straight line AP divides the area of △ABC into 1: 3.

Respondent: 5246 14279- assistant level 3 6- 17 18:06.

Haikou City, Hainan Province, the second semester math midterm exam.

(Full score 100, time 120 minutes)

First, multiple-choice questions (2 points for each small question, 20 points for * * *)

The solution of 1. equation is ()

(A) x=0 (B) x= 1 (C)x=2 (D)x=3

2. The equation whose solution is x=4 is ()

(A)7x = 3x-4(B)2x+ 1 = 3-x(C)2(3-x)=-2(D)

3. When x = 1, the solution of equation 3x-m+ 1=0, then the value of m is ().

(A) - 1 (B) 4 (C) 2 (D) -2

4. If the algebraic expression 4x-7 is equal to the algebraic expression 5(x+), then the value of x is ().

(A) -9 (B) 1 (C) -5 (D) 3

5. If 2x-7y=8, then it is correct to represent x () with the algebraic expression of y..

(A) (B) (C) (D)

6. The equation solved is ()

(A) (B) (C) (D)

7. If the monomials xm+2ny and x4y4m-2n are similar terms, then the values of m and n are ().

(A) m=- 1，n= (B) m= 1，n= (C) m=2，n= 1 (D) m=-2，n=- 1

8. When solving the equation by addition and subtraction, (1)2-(2) gets ().

(A)3x =- 1(B)-2x = 13(C) 17x =- 1(D)3x = 17

9. After a down jacket is reduced by 10%, the price is 270 yuan, and 60% of the original price is its cost, so its cost is ().

(1) 300 yuan (2) 290 yuan (3) 280 yuan (4) 180 yuan.

10. If an outer angle of a triangle is smaller than its adjacent inner angle, then the triangle is ().

(a) acute triangle (b) right triangle (c) obtuse triangle (d) cannot be determined.

Fill in the blanks (2 points for each small question, 20 points for * * *)

1 1. The solution of the equation 1.8x-4.8=0 is.

12. If 3m-5=4, then m2+m=.

13. This equation is named.

14. The solution of the equation is.

15. A number plus 5 equals its 2 times minus 9. Let a number be x and get the equation.

16. Given that two sides of a triangle are 2cm and 7cm respectively, the value of the third side is odd, and the circumference of this triangle is.

17. I bought five exercise books and spent 23.9 yuan on two pens. If a pen is 3.2 yuan, then every exercise book is RMB.

18. If |x-2|+(x-y+3)2=0, then (x+y)2=.

19.a and B are one kilometer apart. A Walk 5 kilometers per hour and 7 kilometers per hour. They set out from A and B at the same time, face to face, and met a few hours later.

20. There are some apple boxes. If each box contains 25 kilograms of apples, there is nowhere to put the remaining 40 kilograms of apples. If each box contains 30 kilograms, there are 20 empty boxes. There is only one of these apple boxes.

Third, solve the equation (or equations) (2 1~23 small questions each small question 4 points, 24~26 small questions each small question 6 points, ***30 points)

2 1.3x-2=5x+6

22.

23.

24.

25.

26.

Iv. Answer questions (5 points for each question, *** 10)

27. Solving the equation is generally to simplify the original equation into

Then use substitution method or addition and subtraction method to solve. Besides, is there an easier way? If yes, please explain.

28. As shown in the figure, in △ABC, AD is the angular bisector, ∠B=660, ∠C=540. Find the degree of ∠ADB and ∠ADC

Five, column equation or equation solving application problems (7 points for each small question, *** 14 points)

Xiao Qiang learned 60 pages by himself in three days, and the next day he learned 4 pages more than the first day. On the third day, I taught twice as many pages as on the first day. How many pages did he learn for Xiao Qiang in three days?

30. Two batches of goods shipped to the disaster area, the first batch of 480 tons, just loaded with 8 train cars and 20 cars; The second batch of goods ***524 tons, just loaded with 10 train cars, 6 cars. How many tons are loaded in each train car and each car on average?

Six, painting questions (6 points)

3 1. There are four pieces of wood, A, B, C and D, with the lengths of a=3cm, b=5cm, c=6cm and d=8cm respectively. How many triangles are formed by taking out three pieces of wood from it? Draw it.

Haikou City, Hainan Province, the second semester math midterm exam.

1.D 2。 C 3。 B 4。 A 5。 C 6。 B 7。 B 8。 D 9。 D 10。 C 1 1.x= 12。 12

13.3x- 1-5x=5 14。 15. 16. 16 17.3.5 18.49 19.20. 128 2 1.x =-4 ^ 22。 x=- 23。 x=-25 24。 25.26.27.

28.∠ADB=840，∠ADC=960

29. Solution: Suppose Xiao Qiang taught himself X pages of books on the first day.

According to the meaning: x+(x+4)+2x=60.

Solution: x= 14, x+4= 18, 2x=28.

A: Xiao Qiang taught himself 14 on the first day, 18 on the second day and 28 on the third day.

30. Solution: Assume that each train car is loaded with X tons on average and Y tons on average.

According to the meaning of the question: that is

To solve this system of equations, we must:

A: Omit.

3 1. A * * * can form three triangles, and their side lengths are 3cm, 5cm and 6 cm respectively; 3 cm, 6 cm, 8 cm and

5cm, 6cm, 8cm, sketch