1, it is known that three points A, B and C on the number axis represent rational numbers, which are 1 and-1 respectively, so it means ().

(a) the distance between points a and b (b) the distance between points a and c.

(c) Sum of distances from points A and B to the origin (d) Sum of distances from points A and C to the origin.

2. Wang Laobo first bought five sheep in the market, with an average of RMB each, and later bought three sheep, with an average of RMB each.

Later, he sold all the sheep at the price of each sheep, only to find himself losing money. The reason for the loss is ()

(a) (b) (c) and (d) have nothing to do with size.

3. The sum of two positive numbers is 60, and their least common multiple is 273, so their product is ().

273(B)8 19(C) 1 199(D) 19 1 1

4. A class of ***48 people went boating on the West Lake in Hangzhou in the spring, with 3 people per boat, and the rent was 16 yuan, with 5 people per big boat.

People, rent 24 yuan, then this class should at least spend rent ().

(A) 188 yuan (B) 192 yuan (C)232 yuan (D)240 yuan.

5. It is known that the circumference of a triangle is, one side is twice as long as the other, and the range of the smallest side of the triangle is ().

Between (a) and (b) and (c) and between (d) and.

6. Two identical bottles are filled with alcohol solution. The volume ratio of a bottle of wine to water is 1. In another bottle,

The volume ratio of alcohol to water is 1. Mix two bottles of solution together, and the volume ratio of alcohol to water in the mixed solution is.

( )

(A) (B)

(C) (D)

II. Fill in the blanks (5 points for each small question, 30 points for * * *):

7, known,,, and > >, then =;

8, set a polynomial, when known = 0,; When,,

Then when =;

9. Arrange positive and even numbers into 5 columns according to the table below:

Column 1 column 2, column 3, column 4 and column 5

The first line 2 4 6 8

The second line16141210

Line 3 18 20 22 24

The fourth line 32 30 28 26

…… … … … …

According to the rules in the table, even numbers 2004 should be arranged in rows and columns;

10, Party A and Party B set off at the same time with their backs to point A on the 400m circular runway. Eight minutes later, they met for the fifth time.

It is known that A walks 0. 1 m more than B every second. What is the shortest distance along the runway from where they met for the fifth time to point A?

Rice;

1 1. Someone asked Teacher Yang, "How many students are there in your class?" Teacher Yang said: "Now half of the students in our class are taking part in the math contest, one quarter are taking part in the music interest group, one seventh are in the reading room, and three female students are watching TV." . So the number of students in Teacher Yang's class is;

12. There are two red balls and two white balls in the box. Xiaoling touched the balls out of the box one by one, and red balls and white balls alternated.

The possibility of occurrence (which can be "red, white, red and white" or "white, red, white and red") is.

Third, answer questions:

13, (10) as shown in the figure, AB‖ED, ∠ c =, ∠ ABC = ∠ def, ∠ d =, ∠ f =,

Find the size of e.

14, (10 minute) The midline of an isosceles triangle divides the perimeter of the triangle into two parts, 14 and 18, and find three.

The length of each side of an angle.

15 and (10) have nine straight lines on the plane, and no three straight lines intersect at one point. What is the positional relationship of these nine straight lines, so that their intersection point is exactly 26, and all possible situations can be drawn (it is required to draw correctly with a ruler).

16, (10 minute) The three hands of the clock coincide at 12. How many minutes did it take the second hand to set the angle of the minute hand and the hour hand for the first time?

Acute angle) equally divided? (expressed in fractions)

Reference answers to the 2004 Fuyang Junior One Mathematics Competition

First, multiple-choice questions (5 points for each small question, 30 points * * *): BABCAD

II. Fill in the blanks (5 points for each small question, 30 points for * * *):

7,0 or -28,-179, 25 1, 3 10, 176 1 1 2,

Third, answer questions:

13, solution: extend DC and AB to G.

∫ed‖ab，∠D= ∴∠G=

∠∠BCD = =，∠ BCD = ∠ G+∠ CBG ∴∠ CBG =

∴∠ABC= = That is ∠∠ e =

14, solution: let the waist length of an isosceles triangle be and the bottom length be,

So or

Solve:, or,

The lengths of the three sides of a triangle are:,, or 12, 12, 8 respectively.

15, solution: There are two situations, as follows:

16, Solution: Obviously, the second hand bisected the angle between the minute hand and the hour hand for the first time after 1 minute.

When setting minutes, the second hand bisects the angle between the minute hand and the hour hand for the first time, so the angle of the hour hand is degrees, the angle of the minute hand is degrees, and the angle of the second hand is degrees.

So there are:

Solution: (Points)

A: Minutes later, the second hand bisects the angle between the minute hand and the hour hand for the first time.

There is a website, read it yourself.