First, multiple choice questions
The solution set of the inequality 1 and (2008 Wuhan, Hubei) is expressed as (b). On the number axis.
A.B.
C.D.
2. (Yancheng, Jiangsu, 2008) The corresponding points of real numbers on the number axis are as shown in the figure, so the size of,,,.
The correct relationship is (D)
A.B. C. D。
3. (Yongzhou City, 2008) As shown in the figure, A, B and C respectively represent the qualities of apples, pears and peaches. If the fruits of the same kind are of equal quality, the following relationship is correct (C).
a > c > b > b > a > c c a > b > c d . c > a > b
4. (Yongzhou City, 2008) The following judgment is correct ()
A.< < 2 B. 2<+0), the freight of other lines remains unchanged. Try to discuss the transportation scheme with the minimum total freight.
29.(2008 Qinghai) Solve inequalities and find the sum of all integer solutions.
30.(2008 Nanping, Fujian) Solving Inequality Group:
3 1, (2008 Zigong, Sichuan) Solving Inequalities System
32.(2008, Xiantao, Hubei, etc. ) solve the inequality group and express the solution set on the following number axis.
33. (in 2008? Nanning) to solve the inequality group and express its solution set on the number axis.
34. (Heilongjiang, 2008) A factory plans to produce 500 sets of two types of student desks and chairs for earthquake-stricken areas to solve the learning problem of 1250 students. A set of tables and chairs (one table with two chairs) needs wood, and a set of tables and chairs (one table with three chairs) needs wood. This factory has wood in stock.
(1) How many production schemes are there?
(2) Now we need to transport all the desks and chairs produced to the earthquake zone. It is known that the production cost of each set of tables and chairs is 100 yuan, and the freight is 2 yuan; Manufacturing cost of each set of tables and chairs 120 yuan, freight 4 yuan. Find the relationship between the total cost (yuan) and the production of tables and chairs (sets), and determine the scheme with the least total cost and the least total cost. (Total cost, production cost and freight)
(3) According to the scheme in (2), is there any surplus wood? If yes, please write down directly how many student desks and chairs can be provided by copying the above two types of desks and chairs from surplus wood; If not, please explain why.
Types of materials, food, medicines and daily necessities
Capacity of each vehicle (ton) 6 5 4
Freight per ton (RMB/ton) 120 160 100
35. (Meizhou City, Guangdong Province, 2008) "When one party is in trouble, all parties help". In the fight against the "5. 12" Wenchuan earthquake, a city organized 20 vehicles to transport 100 tons of food, medicine and daily necessities to the victims' resettlement sites. According to the plan, all 20 cars should be shipped, and each car can only.
(1) Let the number of vehicles transporting food be, and the number of vehicles transporting drugs be. The relationship between harmony;
(2) If there are not less than five vehicles transporting food and not less than four vehicles transporting medicines, how many schemes are there for vehicle arrangement? And write out each layout plan;
(3) Under the condition of (2), if the total freight is required to be the least, which arrangement scheme should be adopted? And find out the lowest total freight.
36. (Qingdao, Shandong, 2008) In August 2008, the sailing competition of the Beijing Olympic Games will be held in Qingdao International Sailing Center. There are two kinds of tickets to watch the sailing competition: A ticket for 600 yuan/Zhang, and B ticket for KLOC-0/20 yuan/Zhang. A travel agency wants to buy some tickets for a tour group. If the ticket purchase cost does not exceed 5,000 yuan, it will buy A and B..
(1) * * How many ticket purchasing schemes are there? Write the solution process;
(2) Judging by calculation: Which ticket purchasing scheme is more economical?
37. (Zunyi, 2008) (12 points) A supermarket sells two kinds of goods, A and B. The purchase price of each commodity is 10 yuan, and the price is 15 yuan; Commodity B is purchased in 30 yuan and sold in 40 yuan.
(1) If the market starts to buy ***80 pieces of A and two kinds of goods at the same time, which just costs 1600 yuan, how many pieces can A and B buy?
(2) In order to make the total profit (profit = selling price-purchasing price) of goods A and B in 80 yuan not lower than that of 600 yuan, but not more than 6 10 yuan, please help the supermarket to design the corresponding purchasing plan.
Yiwu (2008) is a city on wheels. By the end of 2007, the number of cars in the city was 1 14508.
At the end of 2005, the number of cars in this city was 72,983. Please answer the following questions:
(1) The average annual growth rate of car ownership in our city from the end of 2005 to the end of 2007? (The result is accurate to 0. 1%)
(2) In order to protect the urban environment, it is required that the number of cars in our city should not exceed 158000 by the end of 2009. It is estimated that the number of scrapped cars from the end of 2007 is 4% of the car ownership at the end of last year, so how many cars will be added at most every year? (Assuming that the number of new cars is the same every year, the result is accurate to single digits)