Give me some math problems to do! ! !

1. Multiple choice questions (Each question has four alternative answers, A, B, C and D, but only one is correct. Please put the letter indicating the correct answer in brackets after the question. 3 points for each small question, * * 30 points. )

1. Calculation: 2+4+6+…+ 18+20 =. a . 1 10 b . 100 c . 90d . 120

A KFC restaurant is about 25 steps long and 20 steps wide. It is known that one step is about 60 cm, so the area of this restaurant is about () square meters: a.500b.30000c.18000d.180.

4. The price of a "LCD" color TV set is 8000 yuan, which will be promoted during New Year's Day. The preferential terms are flowers 1000 for delivery 100, so this color TV is equivalent to a discount.

5. A pot can only hold three cakes at a time, 1 cake has two sides, and it takes 1 minute to bake one side, at least () A. 10 minute b.5 minute c.4 minute d.3 minute to bake seven cakes.

6. Nutritionists think that the nutritional intake of 420g milk is equivalent to 150g eggs, so the nutritional intake of 200g eggs is equivalent to () g milk. 2 10

7. The vendor selling "coconut juice" accidentally knocked over the coconut juice can. If placed according to the rules shown in the figure, there is one on the top floor, and a coconut milk can should also be placed (). A.4 B.8 C. 16 D. 17

9. If July 1 is a Monday, then July 25th of that year is () A. Tuesday B. Wednesday C. Thursday D. Friday.

10. A shopping mall issued 100 sales tickets at one time, including 1 1 first prize, 5 second prizes and 0/5 third prizes. The winning rate of this lottery ticket is ().

100% b . 2 1% c . 16% d . 1%

2. Fill in the blanks (3 points for each question, ***30 points)

1 1. Fill in the blanks regularly: 1, 4, 7, 10, 16, 19, ...

12. Xiaohong bought a coat in the mall, and the price was 100 yuan, with a 20% discount. Xiaohong actually spent RMB.

13. A deck of 54 playing cards is dealt to A, B, C and D respectively. If the first card is dealt to A, the last card should be dealt. (Fill in one of A, B, C and D)

14. Every100g of milk contains protein 20. 1 g, so 200g of milk contains protein grams.

15. A classmate took her pulse and jumped 18 times in/0/5 seconds, so Xiaohong jumped 1 minute or so.

17. Xiaoming has four blue, yellow and white shirts and two pairs of black and gray trousers. If he wants to match one of these clothes, he may have a choice.

18. To package a rectangular commodity with a length of 10 cm, a width of 7 cm and a height of 4 cm, at least one square centimeter of wrapping paper is required, excluding seams and overlapping parts.

19. Three adhesive tapes are wrapped into a cuboid, and * * * has a packaging method.

20. If Xiaowen draws four straight lines in a circle, the circle can be divided into several parts at most.

Three. Answer questions (***40 points)

2 1. My mother bought two bags of rice at the grocery store (35.4 yuan each), as well as1beef from 4.8 yuan, vegetables from 6.7 yuan,1fish from 2.8 yuan. Please use the estimated knowledge to explain that mom brought 100 yuan?

22. Liang Xiao wants to help her mother do housework on Sunday. The time required is as follows: (1) Tidy up her bedroom for 8 minutes; (2) mop the floor 10 minute; (3) clean the mop for 3 minutes; (4) Use an electric heater to heat the bath water for mother for 30 minutes. How can Liang Xiao arrange the time reasonably to make the time spent shortest?

23. The two tool factories under the Municipal Machinery Bureau: "First Tool Factory" and "Second Tool Factory" (hereinafter referred to as "One Tool" and "Two Tools") are as follows: the profits of the two factories in the last four quarters (unit: 10,000 yuan). In the first quarter, the second quarter, the third quarter and the fourth quarter, a tool 2000170016001500160018001900 (/kloc-) (2) What were the profits of the two factories last year? What is the average monthly profit of each factory (accurate to ten thousand yuan)?

24. The three stores promote the same new brand of drinks, and introduce preferential strategies respectively. A shop bought a large bottle and gave one away for free. 10% discount at shop B; Store C has achieved a 20% discount in 30 yuan. Bottled drinks (1200ml) 10 yuan, canned drinks (200ml)2 yuan. (1) Which store is cheaper to buy 1 cans of drinks? (2) Which store is cost-effective to buy 1 large bottles and 1 cans of drinks? (3) Which store is cost-effective to buy three bottles of drinks and three cans of drinks?

25. The following table shows the content of each ingredient in each 100g food: (unit: gram) Food name protein fatty carbohydrate beef 20.1.1.20.1bean products 44.821.8/kloc-0. 38+0.6 73 Xiaolin's lunch today is: braised beef 150g, home-cooked tofu 50g, stir-fried dishes 100g and steamed bread 50g. Calculate the nutritional components in Kobayashi's lunch and fill in the following table (unit: gram). Food Name protein Content Fat Content Carbohydrate Content Beef (150g) Vegetable (100g) Tofu (50g) Flour (50g) Total.

26. Nutritionists divide all kinds of foods into four categories, and the names of the four categories are given in the table below. Food Name:/kloc-Daily intake of various foods required by children aged 0/2. Remarks: the first kind of milk, eggs, 420g of milk or eggs per bag,150g of milk, about 8 second-class fish, meat, tofu, 265438+200g of fish or 180g of meat or 360g of tofu, a drumstick, about 90g of third-class vegetables, 900g of fruit or tofu. How many grams does it take to choose meat?

27. Go board is a square consisting of vertical and horizontal 19 line segments. How many black and white pieces do you need if you arrange the black and white pieces according to the rules shown in the figure?

Interviewee: Yao Trainee Magician Level 3 1-24 16:29.

1. 1. Calculation (-2x2) 3 =

2. According to the statistics of the fourth population census, China's existing population is about 654.38+0.3 billion, which is expressed by scientific notation as follows.

mankind

3. Calculate 48×0.258=

4.(x+ 1)(x+2)= 0

5.(4a+ )2= 16a2+8a+

6. If it is completely flat, the value of m is

7. If the product of (x+P) and (x+2) does not contain the linear term of x, then the value of p is

8. Calculate 3 1 29' 35' '× 4 =

9. As shown in the figure, straight lines l 1‖l2, ∠ 1 = 105, ∠ 2 = 140,

Then ∠ α =

10. as shown in the figure, AD‖BC, the angle equal to ∠B in the figure is

1 1. Proposition: If ∠ 1=∠2, ∠2=∠3, then ∠ 1=∠3,

So the question is,

The conclusion is that

12. As shown in the figure, if a‖b, ∠ 1 = 46, then ∠2= degrees.

13. As shown in the figure, AE‖BD, ∠ 1=3∠2, ∠ 2 = 25,

Then ∠C= degrees

Second, multiple-choice questions (2 points for each question, *** 18 points)

14. The following calculation is correct ()

A.(-a3)4 = a 12 b . a3 a4 = a 12 c . 3a 4a = 12a d .(a3)2 = a9

15. If AB3

A, A and B have the same number B, A and B have different numbers C, one of which is 0 D, I'm not sure.

16. Three consecutive odd numbers. If the middle is n, their product is ().

A.6n3-6n B.4n3-n C.n3-4n D.n3-n

17. In the following polynomial multiplication, the square difference formula can be used to calculate ().

A.(x+ 1)( 1+x) B.( +b)(b-)

C.(-a+b)(a-b) D.(x2-y)(x+y2)

18. If 9a2+24ab+k is a completely flat mode, then k= ().

A.2b2 B.4b2 C.8b2 D. 16b2

19. As shown in the figure, AD⊥BC falling on D, DE‖AB,

Then the relationship between ∠B and ∠ 1 is ()

A. equality B. complementarity C. complementarity D. uncertainty

20. As shown in the figure, the straight line AB intersects with CD at point O, OE⊥CD,

∠ AOC = 30, then the degree of∠∠ BOE is ()

30-60 A.D.

2 1. If two parallel lines intersect with the third straight line, a set of bisectors of the inner corner on the same side are mutually ().

A. Parallel B. Coincidence C. Vertical D. Intersection, but not vertical

22. as shown in the figure, DH‖EG‖BC, DC‖EF, and the angle in the figure is equal to ∠ 1.

The number of (excluding ∠ 1) is ()

a2 b . 4 c . 5d . 6

Three. Answer the following questions (4 points for each question, * * * 24 points)

23. Calculation: 4x (x- 1) 2+x (2x+5) (5-2x)

24. It is known to find the value of the algebraic formula (x+y) (x-y)+(x-y)-(x2-3xy).

25. Calculate by multiplication formula

( 1)2002× 1998 (2) 199.92

26. Calculation (A+3B-2C) (A-3B-2C)

27. Calculate [(2x+y) 2-y (y+4x)-8x] ÷ 2x

28. Find the positive integer solution of inequality

(2x+3)2-(2x+3)(2x-5)>7x+54

Four. (5 points for each question, *** 10)

29. The starting price for taking a taxi in a city is 10 yuan (that is, you have to pay 10 yuan within 5 kilometers). After reaching or exceeding 5km, the fare will be increased by 1.2 yuan for each additional 1km (the part less than 1km is counted as 1km). Someone is taking this taxi now.

1. Calculate (-2x2) 3 =

2. According to the statistics of the fourth population census, China's existing population is about 654.38+0.3 billion, which is expressed by scientific notation as follows.

mankind

3. Calculate 48×0.258=

4.(x+ 1)(x+2)= 0

5.(4a+ )2= 16a2+8a+

6. If it is completely flat, the value of m is

7. If the product of (x+P) and (x+2) does not contain the linear term of x, then the value of p is

8. Calculate 3 1 29' 35' '× 4 =

9. As shown in the figure, straight lines l 1‖l2, ∠ 1 = 105, ∠ 2 = 140,

Then ∠ α =

10. as shown in the figure, AD‖BC, the angle equal to ∠B in the figure is

1 1. Proposition: If ∠ 1=∠2, ∠2=∠3, then ∠ 1=∠3,

So the question is,

The conclusion is that

12. As shown in the figure, if a‖b, ∠ 1 = 46, then ∠2= degrees.

13. As shown in the figure, AE‖BD, ∠ 1=3∠2, ∠ 2 = 25,

Then ∠C= degrees

Second, multiple-choice questions (2 points for each question, *** 18 points)

14. The following calculation is correct ()

A.(-a3)4 = a 12 b . a3 a4 = a 12 c . 3a 4a = 12a d .(a3)2 = a9

15. If AB3

A, A and B have the same number B, A and B have different numbers C, one of which is 0 D, I'm not sure.

16. Three consecutive odd numbers. If the middle is n, their product is ().

A.6n3-6n B.4n3-n C.n3-4n D.n3-n

17. In the following polynomial multiplication, the square difference formula can be used to calculate ().

A.(x+ 1)( 1+x) B.( +b)(b-)

C.(-a+b)(a-b) D.(x2-y)(x+y2)

18. If 9a2+24ab+k is a completely flat mode, then k= ().

A.2b2 B.4b2 C.8b2 D. 16b2

19. As shown in the figure, AD⊥BC falling on D, DE‖AB,

Then the relationship between ∠B and ∠ 1 is ()

A. equality B. complementarity C. complementarity D. uncertainty

20. As shown in the figure, the straight line AB intersects with CD at point O, OE⊥CD,

∠ AOC = 30, then the degree of∠∠ BOE is ()

30-60 A.D.

2 1. If two parallel lines intersect with the third straight line, a set of bisectors of the inner corner on the same side are mutually ().

A. Parallel B. Coincidence C. Vertical D. Intersection, but not vertical

22. as shown in the figure, DH‖EG‖BC, DC‖EF, and the angle in the figure is equal to ∠ 1.

The number of (excluding ∠ 1) is ()

a2 b . 4 c . 5d . 6

Three. Answer the following questions (4 points for each question, * * * 24 points)

23. Calculation: 4x (x- 1) 2+x (2x+5) (5-2x)

24. It is known to find the value of the algebraic formula (x+y) (x-y)+(x-y)-(x2-3xy).

25. Calculate by multiplication formula

( 1)2002× 1998 (2) 199.92

26. Calculation (A+3B-2C) (A-3B-2C)

27. Calculate [(2x+y) 2-y (y+4x)-8x] ÷ 2x

28. Find the positive integer solution of inequality

(2x+3)2-(2x+3)(2x-5)>7x+54

Four. (5 points for each question, *** 10)

29. The starting price for taking a taxi in a city is 10 yuan (that is, you have to pay 10 yuan within 5 kilometers). After reaching or exceeding 5km, the fare will be increased by 1.2 yuan for each additional 1km (the part less than 1km is counted as 1km). Someone is taking this taxi now. Intersecting lines and parallel lines

1. True or false

The two angles of (1) and are adjacent complementary angles; ( )

(2) If the two angles are not equal, then the two angles are not antipodal ()

(3) Two straight lines are cut by the third straight line, and the same angle is equal ()

(4) If the straight line ‖, then ‖ ()

(5) Two straight lines are parallel, and the internal angles on the same side are equal; ( )

(6) The two straight lines where the bisectors of adjacent complementary angles are located are perpendicular to each other ()

(7) Two straight lines intersect, and one of the four angles formed must be an acute angle ()

(8) If it is a straight line, then ‖ ()

2. Multiple choice problem

(1) Of the following statements, the correct one is ().

There is a common side and two corners, and their sum is adjacent corners;

Two adjacent complementary angles are not equal.

Two angles whose two sides are diagonal extension lines are vertex angles.

Three straight lines intersect at one point to form three pairs of vertex angles.

(2) As shown in the figure, if AD‖BC, there is

①∠A+∠B=

②∠B+∠C=

③∠C+∠D=

The above conclusion is correct ()

A, only 1b, only 2c, only 3d, only ① and ③.

(3) As shown in the figure, if AB‖CD and CD‖EF, then ∠BCE is equal to ().

(A) 1+∠2

(B)2-∠ 1

(C)-∠2 +∠ 1

(D)-∠ 1+∠2

(4) If the straight line ‖, then ‖. The basis of this reasoning is ()

A, equivalent substitution b, parallel axiom c, two straight lines are parallel and have the same angle.

D, two lines parallel to the same line are parallel.

fill (up) a vacancy

As shown in the figure, ∠3 and ∠B are _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ and/kl respectively. ∠A is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 2 and ∠ A is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

As shown in the figure, AB‖CD and EF are given to AB, CD to E and F respectively, EG shares ∠AEF and FH shares ∠EFD.

Authentication: for example FH

Proof: ∫AB‖CD (known)

∴∠AEF =∠EFD(_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _)

∵ EG shares ∠AEF, FH shares ∠ EFD (_ _ _ _ _ _ _),

∴∠______=∠AEF，

∞_ _ _ _ =∠EFD (definition of angular bisector)

∴ ∠______=∠______

∴ EG‖FH(_____________________)

The first mathematics final examination paper in the first semester of 2003 (Taizhou)

Test your basic skills first (120)

(a), fill in a fill (every empty 3 points ***45 points)

1. Write the result directly: (-32) ÷ 4 =, =

The reciprocal of 2 and -5 is; The absolute value of -6 is

3. For example, there are parallel lines in your home.

4. A triangular prism has one face and a prism has 10 face.

5. When the pattern below is folded into a cube, the number _ _ _ will be on the plane opposite to the plane where the number 2 is located.

4 5 6

1 2 3

6. In a book called Mathematics and Imagination, the authors Edward Casner and James Newman introduced a large number called "Gugor", which is both large and good, and was quickly adopted by the author in the article "Mathematics Popularization". Googol is a number, followed by a hundred zeros after the number 1 If we use scientific notation to represent this number, it can be expressed as

7. If the diameter of a circle is d cm, then its circumference is cm and its area is cm; If the diameter of this circle increases by 1cm, then its circumference increases by cm;

8. If point A is represented on the number axis, then the number represented by the point three length units away from point A on the number axis is _ _ _ _ _ _ _ _.

9. In the calendar, the sum of two adjacent numbers on the vertical line is 27, so the smaller of these two numbers is

10, assuming that there are enough black and white Weiqi players to line up according to certain rules:

……

Excuse me, is 2003 black or white? A: _ _ _ _ _ _.

Second, choose one (3 points for each question, *** 15 points)

1 1, the school, home and bookstore are located in a north-south street in turn, with the school home 20 meters south and the bookstore home 0/00 meters north. Zhang Ming starts from home, walks 50 meters north, and then walks -70 meters north. At this time, Zhang Ming's position ().

A: At home, at school, at the bookstore and on the road.

12, the solution of equation 3x-6 = 2 (x+5) is ().

a、4 B、 1 1 C、 16 D、

Xin Chen said that his family just bought a 15 inch LCD computer monitor. When asked how thin it was, he couldn't say. underneath

Among these four data, please choose a more reasonable data to represent the thickness of LCD ().

A, 5mm b, 5cm c, 5cm d, 5m.

14, the following events, you think the inevitable event is ()

A, Huangyan New Year's Day weather is clear in Wan Li.

B, Xiao Ming said that there was a sudden power outage at home last night, because the light was not good and he accidentally bit his nose while eating.

C, New Year's Day happens to be 1+0.

D. A bag contains three white balls and seven red balls, all of which are the same except the colors. Reach out and touch a white ball.

15, Party A, Party B, Party C and Party D sit face to face at a square table. A number "9" is written on a piece of paper on the desk. A said he saw "6", B said he saw ",C said he saw", D said he saw "9", so the following statement is right ———————————————————————.

A.A is opposite to Ding, B is to the left of A, and C is to the right of Ding.

B.c and b are opposite, with a on the left and d on the right.

C.a and B are opposite, C is on the right and D is on the left.

D. A is opposite to D, B is to the right of A, and C is to the right of D..

(3) do it.

16, calculation (4 points for each question, *** 12 points):

( 1)-8+4÷(-2) (2)

(3) —2—( 1—0.2)÷(—2)

17, combining similar items (4 points for each question, 8 points)

( 1)5xy 2+2x2y-3xy 2-x2y(2)-2x+5(x+2y)-(x-3y)

18, (5 points) simplify before evaluation: 2 (x-y)-3 (x-2y)+5, where x= 1999 and y =-

19, (6 points) Draw the picture and fill in the blanks:

(1) POint P is the vertical line Po of the straight line L, and the vertical foot is O;

(2) connecting PA and Pb;

(3) Point out that there is a line segment in the drawing.

20.(6 points) Put a pair of triangular plates together as shown in the figure to draw an angle of120. What other angles can you draw with this set of triangles? If you can draw three different angles correctly and mark the corresponding degrees, you can get 6 points; If you can tell me other angles, so much the better. )

2 1, (6 points) Xiaoling solves the equation as follows:

Remove the brackets and get;

Move the item and get it;

Merge similar items to obtain;

Finally, I had to.

But after testing, it is not the root of the original equation. Please check, what's wrong with the above problem-solving process? And correct it.

22.(8 points) The price of a commodity is 900 yuan per piece. In order to participate in the market competition, the store will give 40 yuan a 10% discount on the selling price and still make a profit of 10%. What is the purchase price of this commodity?

23.(9 points) The following table shows the temperature changes recorded by Xiao Ming at noon every day during the week of June 10 (the temperature increased to a positive value and decreased to a negative value compared with the previous day).

Start date 123456

Temperature change/? C

Actual temperature/? C

1) If the temperature of 12 at noon last Sunday was 10? C, so what's the actual temperature every day this week? (Please fill in the above form)

2) What is the difference between the highest temperature and the lowest temperature this week?

3) If you want to show the temperature changes this week. What statistical chart would you choose? According to the above data, please draw a picture.

Second, learn to see the world from a mathematical point of view (each question 10 score ***30 score)

24. There is such a question: "Calculate the value, among which". A student mistakenly copied ""as "",but the final result of his calculation was the same as that of other students. Try to explain the reason and find out the result.

25. There is a piece of paper with a thickness of 0.1mm. If it can be folded in half continuously, then

(1) continuous folding 10 times. * * How many floors are there?

(2) After being folded in half for 20 times in a row, is it as high as the teaching building of our school? Please explain your answer.

26. Have you read The Journey to the West? If you are a careful reader, you will find that this literary masterpiece also contains many mathematical problems. The following is a plot in The Journey to the West: According to legend, the Monkey King, the Great Sage of Qitian, met an evil ghost on his way to escort Tang Priest to fetch Buddhist scriptures from the West. The evil spirit shouted, "I have practiced for hundreds of years to get where I am today." What is your age? Get out of my way! " At this moment, the Monkey King laughed and said, "You said I was blind when I was young. You can't even reach my grandson! Listen: I am king in Huaguoshan at the age of one quarter; Then I became the Monkey King for 290 days, which means you spent 290 years in the underworld. Because of the havoc in heaven, he was crushed under the Five Elements Mountain and spent half his life. Then I escorted Master to the Western Heaven for Buddhist scriptures. It has been ten years since then. You calculate how old I am! " ..... Students, can you find out the Monkey King's age at that time?