1. The square of a number is equal to itself. This number is; The square root of a number equals itself, and this number is; The arithmetic square root of a number is equal to itself, and this number is; The cube of a number is equal to itself, and this number is; The cube root of a number is equal to itself, and this number is; The reciprocal of a number is itself, and this number is; The absolute value of a number is equal to itself, and this number is. 2. The square root of16 is, and the square root of is equal to.
3. Known; , then.
4. Given that the two square roots of a positive number are 3x-5 and x-7 respectively, then this positive number is.
5. The integer part of-1is; The decimal part is; The absolute value is; The opposite number is.
6. As shown in the figure, on the number axis, the points corresponding to 1 are A and B, and A is.
The midpoint of BC line, then the number represented by point C is.
7. If OA⊥OC is known, and ∠ AOB: ∠ AOC = 2: 3, then ∠BOC has a degree of.
8. If ∠ 1 = 80, then both sides of ∠2 are parallel to both sides of ∠ 1, then ∠2=.
9. Given that point A (1+m, 2m+ 1) is on the X axis, the coordinates of point A are.
10. given the AB∑x axis, the coordinate of point a is (3,2) and AB = 5, then the coordinate of point b is.
1 1. If the distance from point P(a-2, 2a+3) to the two coordinate axes is equal, then a=.
12. Move point A (1, -3) to the right by 2 units, and then move it down by 2 units to get point B (a, b), then AB =. The first net of new curriculum standard.
13. It is known that the coordinate of point P in the plane rectangular coordinate system is (-1 3). If the plane rectangular coordinate system is translated by 3 units to the left and then by 2 units downward, the coordinates of point P after translation will be _ _ _ _ _ _ _ _.
14. In the plane rectangular coordinate system, A(2, -2) is known, and a point P is determined on the Y axis, so that △AOP is an isosceles triangle, then there is a qualified point P***.
15. Point P(a+5, a) can't be in the fourth quadrant.
16. There is a point P(x, y) in the plane rectangular coordinate system. If it is satisfied, then point P is.
17. The solution of the equation in the positive integer range is _ _ _ _ _.
18. It is known that x= 1 and y =-8 are the solutions of the equation MX+y- 1 = 0, then the square root of m is.
19. The solution set of the inequality about X (A+ 1) X > A+ 1 is X < 1, so the value range of a is.
20. If the inequality 2x-m ≤ 0 has three positive integer solutions, the range of m is.
2 1. If the solution set of the unary linear inequality group is X > A, then the relationship between A and B is.
22. If the inequality group has no solution, the value range of m is.
23. if the solution set of the inequality group is-1 < x < 1, then (a+b)2009=.
24. If the inequality group has four integer solutions, the range of a is.
25. If the solution of inequality 2x < 4 can hold the linear inequality (a- 1) x < a+5 about x, then the range of a is.
26. The taxi charging standard in a city is: the starting price is 7 yuan. 2.4 yuan will be added for every increase of 1km when it exceeds 3km (if it is less than 1km, it will be counted as 1km). If someone takes this taxi, the fare from A to B is 19 yuan. Suppose the distance this person passes from A to B is xkm.
27. When a brand computer is purchased at a price of 5,000 yuan and sold at a 10% discount from the price bureau, the profit is not lower than that of 700 yuan, so the price in this pc is at least _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
28. There is a set of data ***60, the smallest number is 29 and the number is 98. Now it is necessary to make a histogram of the frequency distribution of this set of data. If they are divided into 7 groups, the interval between groups should be.
29. As shown in the figure below, in order to understand the growth of a new cucumber variety, the number of cucumber roots grown on some cucumber plants was randomly selected and the following histogram was obtained. Observing this picture, we can see that * * * randomly selected cucumber plants, and we can estimate that this new cucumber variety has an average cucumber with roots per plant.
30. The chart below shows the annual growth rate of rural residents' per capita income in Chongqing during the Tenth Five-Year Plan period released by the Municipal Bureau of Statistics. The following statement is correct:
① The per capita income of rural residents in 2003 was lower than that in 2002; ② The per capita income of rural residents was lower than 9% of the previous year for two consecutive years; ③ The highest per capita income of rural residents was in 2004; (4) The per capita income of rural residents has a larger or smaller annual growth rate than that of the previous year, but the per capita income of rural residents continues to increase.
Question 29
Question 30
3 1. In order to estimate the total number of fish in a fish pond, a fish pond professional fished out 300 fish for the first time, put each fish into the water after being marked, and fished out 200 fish after being completely mixed with the fish. There are 10 marked fish. Please ask fish pond professionals to estimate the fish sticks. Then put it in water to mix it with the fish completely. 500 fish were fished out for the third time, and it is estimated that 1 marked fish were found.
Second, answer questions:
1. Solve the equation: 2 (1-x) 2 = 18.
2. When m is what value, the solutions x and y of the equation are both positive numbers?
The school arranges accommodation for students who are far away from home. There are several rooms. If there are five people in each room, there are 14 people who can't arrange it. If there are seven people in each room, one room is not empty and not satisfied. How many rooms can the school arrange for accommodation? How many students will stay?
4. The station has 1530 tons of Class A goods and 1 150 tons of Class B goods to be transported. Now it is planned to transport these goods to Beijing by 50 vehicles of two models, A and B. It is known that the freight for each A vehicle is 5,000 yuan and that for each B vehicle is 8,000 yuan. 35 tons of Class A goods and 15 tons of Class B goods can fill a Class A car, and 25 tons of Class A goods can fill a Class B car. According to this requirement, how many schemes are there to arrange the number of A-class cars and B-class cars? Please design and explain which scheme has the least freight?
5. Figures ① and ② reflect the merchandise sales statistics of a comprehensive shopping mall from June to May this year. Look at Figures ① and ② and answer the following questions:
(1) The report of the financial department of the mall shows that the total sales of the mall from June to May in 65438 was 3.7 million yuan. Please complete Figure ① according to this information, and write two pieces of information obtained from the above two figures.
(2) What is the sales volume of the clothing department of the shopping mall in May?
(3) After observing Figure ②, Xiaohua thinks that the sales of the clothing department in May decreased compared with that in April. Do you agree with him? Why?