First, multiple-choice questions (5 points for each small question, 50 points for * * *)

1. Rational number A is equal to its reciprocal, so a2004 is-(d).

A. the largest negative number B. the smallest non-negative number C. the smallest absolute integer D. the smallest positive integer

2. The value of (-0.125) 2003× (-8) 2004 is-.

A.-4 B.4 C.-8 D.8

3. If is, the value of cannot be-(b).

1 C.2 D.-2

4. In -0. 1428, after replacing one of the non-zero numbers with the number 3, the largest number is obtained, and the replaced number is-.

A. 1

5. Stack 14 cubes with a side length of 1 on the ground into a three-dimensional shape as shown in the figure, and then paint the exposed surface part red, so the area of the red part is-.

2 1

6. If m+n 0, m+n < 0, then the size relationship of the four numbers m, n, -m and -n is-.

Morning > n>-n >-m B.-m>n>-n>m

c . m >-m > n >-n . d .-m >-n > n > m

7. A cultural mall sells two electronic keyboards at the same time, each selling 960 yuan. According to the cost calculation, one of them makes a profit of 20% and the other loses 20%, so the mall for sale this time-.

A. Don't lose money, don't earn B. Earn 160 yuan C. Earn 80 yuan D. Lose 80 yuan.

8.2, 3, 5 and 6, the smallest number is-(a).

A.2 B. 3 C. 5 D. 6

The minimum value of 9 is-(a).

A.4b 3c 2d 1

10. Use 1, 2, 3, 4, 5, 6, 7, 8 to form two four-digit numbers. In order to maximize the product value of these two four digits, the larger one of these two four digits is-.

853 1 B.8765 C.8624 D.8672

Fill in the blanks (5 points for each small question, 50 points for * * *)

1. Calculation: (0).

2. As shown in Figure 2, the number array consists of 77 even numbers, of which 6 numbers, 20, 22, 24, 36, 38 and 40, enclose a parallelogram, and their sum is 180. After translating this parallelogram up, down, left and right, it surrounds the other six numbers in the right digit array. If the sum of these six numbers is 660, then the number in the upper left corner of the parallelogram is 100.

Li Zhiming, Zhang Bin and Wang Dawei chose different careers after graduation, and one of them became a journalist. Once someone asked about their occupation, Li Zhiming said, "I'm a reporter." Zhang Bin said, "I'm not a reporter." Wang Dawei said, "Li Zhiming lied." If only one of the three is true, then

Zhang Bin is a journalist.

All the students in Class One, Grade Seven participated in the extracurricular sports group and the singing group respectively, and some students also participated in both groups. If the number of participants in the two groups is the number of participants in the sports group and the number of participants in the singing group, then the ratio of the number of participants in the sports group to the number of participants in the singing group in this class is (8: 7).

A bottle with a cap contains some water (as shown in the picture below). Please calculate the volume of the bottle as (60)cm according to the data shown in the figure. .

6. There is a column number arranged according to the following rules: 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, ... No.200 in this column.

7. If you stack five apples in a basket, there will be three more in the end. If you stack six, there will be four more. If you press seven stacks, there will be five more. There are at least 208 apples in this basket.

8. A class of 45 students took part in a math contest. As a result, 35 students answered the first question correctly, 27 students answered the second question correctly, 4/kloc-0 students answered the third question correctly, and 38 students answered the fourth question correctly, so at least (6) students in this class answered four questions correctly.

9. In the picture on the right, some straight lines are drawn in the rectangle. There are three regions on the known edge, namely 13, 35 and 49. Then the area of the shaded part in the figure is (97).

10. Eighty sixth-grade students and two teachers from a school went for a spring outing in the park, and the school only prepared 180 bottles of soda. The director of general affairs told the teacher that each person provided 3 bottles of soda (including the teacher), and the insufficient part could be purchased in the park and reimbursed after returning to school. When we arrived at the park, the store posted a notice: every five empty bottles can be exchanged for a bottle of soda water. So everyone was asked by the teacher to return the empty bottle after drinking soda. Then use the best way to plan, and at least buy 17 bottles of soda and go back to school for reimbursement.

Third, solve the problem (each small question 10, ***50)

1. Please fill in the integer of 1 in the blank space (as shown in the figure) so that the product of these two numbers is -6. How many ways can I fill in * *? Choose a filling method in which the sum of the products of two numbers on two diagonal lines is equal to -4.

2. The electronic flea falls on a certain point K0 on the number axis. Step 1, jump from K0 to K 1 unit, step 2, jump from k 1 to K2 by 2 units, step 3, jump from K2 to K3 by 3 units, step 4, jump from K3 to K4 by 4 units, …, and jump from/kloc-according to the above rules.

-29。 96

3. From Xiaoming's home to school, it is an uphill road with a length of A, followed by a downhill road with a length of B (the two roads are different in length, but the slope is the same). It is known that Xiaoming rides a bicycle uphill 20% slower than the flat road, and downhill 20% faster than the flat road. It is also known that Xiao Ming spends 10 minutes on his way to school and 12 minutes on his way to school.

(1) judge the size of a and b; ⑵ Find the ratio of A to B 。

B is greater than a.

3:8

4. When a shopping mall engages in promotional activities on National Day, no discount will be given if the shopping does not exceed 200 yuan, and if it exceeds 200 yuan, it does not exceed 500 yuan's 10%, and if it exceeds 500 yuan, 500 yuan will get a 10% discount, and the excess will get a 20% discount. Someone spent 150 yuan and 405 yuan on shopping twice.

(1) What is the actual value of this person's goods after shopping twice?

(2) How much money did he save in this activity?

(3) If this person combined the money of these two times, would it be more economical or more costly to shop once? State your reasons.

( 1)600

(2)45

(3) Save more money

5. Calculation:

=/kloc-0 in 2005/

Reference answer

First, multiple-choice questions:

The title is 1 23455 6789 10.

Answer D C B C C B D A A A

Second, fill in the blanks:

1.

2. Solution 1: The number in the upper left corner of the parallelogram shall prevail, and the other five numbers are 2,4, 16,18,20 larger than it respectively. If you subtract 2,4, 16,18,20 from the sum of six numbers in the parallelogram, the remaining number is six times that of the upper left corner. According to the meaning of the question, the number in the upper left corner of the translated parallelogram is [660-(2+4+16+18+20)] 6 =100.

Solution 2: The sum of six numbers in the parallelogram before moving is 20+22+24+36+28+40 = 180. After moving, the sum of these six numbers increased to 660, increasing by 660- 180=480. Because every number in the parallelogram increases by the same amount in the process of movement, we can easily find that every number increases by (660-180) ÷ 6 = 80 from "180" to "660". So we can know that the number in the upper left corner has increased to 20+80 = 100.

Solution 3: Through observation, it can be known that the left, middle and right numbers of the upper row and the right, middle and left numbers of the lower row in the parallelogram are added respectively, and the sum is equal, which is the sum of six numbers; On the other hand, the number on the left of the previous line is subtracted from the number on the right of the next line, and the difference is 20. In this way, finding the number in the upper left corner becomes a "sum and difference problem". The formula is (660÷3-20)÷2= 100.

Note: There are many solutions to this problem, because the number matrix in the problem hides many interesting laws. If you choose different laws, you will get different solutions.

Suppose Li Zhiming is a journalist, then both Li Zhiming and Zhang Bin tell the truth, and only one of them tells the truth. This shows that the hypothesis is incorrect and Li Zhiming is not a journalist (Li Zhiming lied). In other words, Wang Dawei told the truth. Another liar is Zhang Bin. It can be inferred that Zhang Bin is a reporter.

4. Divide into two groups according to the conditions: only participating in sports group =1∶ 4 = 2 ∶ 8; Two groups: singing only group = 2 ∶ 7; So the ratio of people who only participate in sports group to those who only participate in singing group is 8: 7.

5. According to the known conditions, the height of the upper blank part of the second figure is 7-5 = 2 cm, so the ratio of water to blank part is 4: 2 = 2: 1. According to the first number, the volume of water is 10×4=40, so the total volume is 40÷2×(2+ 1)=60 cubic centimeters.

6. The rule is 1 Yes 1, 2 is 2, 3 is 3 ... What is the 200th number? Just look at 1+2+3+4+5+ and you will know that ...+... when it is close to 200, it should be added near 19, and the sum of 1+ and ...+19 is. So far, 19 has been written, followed by 20 twenties, so the 200th number is 20.

7. According to the meaning of the question, the number of apples can be divided into 5, 6 and 7 at the same time after adding 2, so there are at least 5× 6× 7-2 = 208 apples in this basket.

8. The answer is six people. Consider that the worst case is the wrong problem, not the same person.

9. As shown in the figure, because half of the rectangular area is equal to =, so

10. Because every five empty bottles can be replaced with a bottle of soda (including bottles), every empty bottle can be replaced with a bottle of soda without bottles. Suppose you still need to buy X bottles, then you have to buy at least 17 bottles of soda to go back to school for reimbursement.

Third, answer questions:

1.* * There are eight ways to fill in, = 6- 10 =-4.

2. Let K0 represent X, then the numbers represented by K 1, K2, K3, …, K 100 are,,,, respectively.

3.( 1) Because it takes less time to go to school than to leave school, that is, it takes less time to go uphill than to leave school, so A < B.

(2) If the riding speed on a horizontal road is "1" (unit speed), the speed of riding uphill is 0.8, and the speed of riding downhill is 1.2, so it can be used in time, that is.

4.( 1) According to the meaning of the question, the purchase does not exceed 200 yuan, and the payment does not exceed 200 yuan; Shopping exceeds 200 yuan but not 500 yuan, and payment exceeds 180 yuan but not 450 yuan; Buy more than 500 yuan, pay more than 450 yuan. However, this person spent 150 yuan and 405 yuan respectively on the two purchases, so he can't enjoy the discount for the first shopping, but he should enjoy the discount of 10% for the second shopping, and the actual value of the goods for the two shopping is 150 yuan and 450 yuan respectively.

He saved 45 yuan money in this activity.

(3) If this person combines the money of these two times to make a one-time shopping, the actual value of his goods will definitely exceed that of 500 yuan. Let the actual value of the article be X yuan, which is 500× 0.9+0.8 (X-500) =150+405 according to the meaning of the question. Solve this equation, X = 63 1.25. From 63 1.25 > 150+455.

5. setup,

Then the original formula =