1. Multiple-choice questions: (There are 10 small questions in this big question, with 4 points for each small question and * * 40 points) Four answers with code names A, B, C and D are given under each small question, and only one is correct. Please put the code of the correct answer in brackets after the question.

The reciprocal of 1.3 is ()

A.- the third century BC.

2. The result of calculation is ()

A.B. C. D。

3. The radius of ⊙O is 4, and the distance from the center of O to the straight line is 3, so the positional relationship between the straight line and ⊙ O is ().

A. Intersection B. Tangency C. Separation D. Uncertainty

4. The range that makes the score meaningful is ()

A.B. C. D。

5. The solution set of inequality group is ()

A.b.c.d has no solution.

6. As shown in the figure, if the diameter CD of ⊙O passes through the midpoint G of the chord EF and ∠ EOD = 40, then ∠DCF is equal to ().

A.80 B. 50 C. 40 D. 20

7. As shown in the figure, a geometric figure composed of several identical cubes has three views, so the number of cubes that make up this geometric figure is. ()

A.3 B.4 C. 5 D. 6

The solution of the fractional equation is ().

A.B.

C.D.

8. Observe the statistics of the annual growth rate of per capita income of rural residents in Chongqing during the Tenth Five-Year Plan period issued by the Municipal Bureau of Statistics. The following statement is true ()

A the per capita income of rural residents in A.2003 was lower than that in 2002.

B the per capita income of rural residents has been lower than 9% of the previous year for two consecutive years.

C in C.2004, when the per capita income of rural residents was the highest.

D the growth rate of per capita income of rural residents is quite different from that of the previous year, but the per capita income of rural residents continues to increase.

9. Exemption from agricultural tax has greatly improved farmers' enthusiasm for production. The town government instructed farmers to process the produced local products into three different packages, A, B and C, and sell them in the market. The relevant information is as follows:

Mass (g/bag)

Sales price (RMB/bag)

Packaging cost (yuan/bag)

first

celebrity

4.8

0.5

second

300

3.6

0.4

The third/third in ten days' work

200

2.5

0.3

During the Spring Festival, these three kinds of packaged native products sold 1200 kg, so in this sale, the biggest profit of these three kinds of packaged native products is ().

Not sure.

10. There are two unified cubes A and B (each side of the cube is marked with the numbers 1, 2, 3, 4, 5, 6 respectively). If the number of Rubik's Cube A thrown by Xiao Li and the number of Rubik's Cube B thrown by Xiao Ming are used to determine the point P (), then they will each throw the determined point P once.

A.B. C. D。

(Candidates in the experimental area of curriculum reform do it). It is known that the quadratic equation with one variable has two unequal real roots and satisfies them, then the value of is ().

A.3 or-1b.3c.1d. –3 or 1.

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Fill-in-the-blank question: (There are 10 small questions in this big question, with 3 points for each small question and * * 30 points) Please fill in the answer directly on the horizontal line after each small question.

1 1. The highest temperature in Chongqing on a certain day is 17℃, and the lowest temperature is 5℃, so the maximum temperature difference on that day is℃.

12. Decomposition factor: =

13. As shown in the figure, given a straight line, ∠ 1 = 40, then ∠2= degrees.

14. If the circumference of the bottom surface of the cylinder is, and the height is 1, the area of the cylinder side development diagram is.

15. Waste batteries are very harmful to the environment. A button cell can pollute 600 cubic meters of water (equivalent to a person's lifetime drinking water). There are 50 students in a class. If every student throws away a button cell a year and none of it is recycled, then the water that can be polluted in the button cell discarded by the students in this class is expressed as cubic meters by scientific counting method.

16. As shown in the figure, if the image of the sum of functions is known to intersect at point P, it can be obtained according to the image, and the solution of the binary linear equations is

(Non-curriculum reform test area candidates do) Simplification: =

17. As shown in the figure, A and B are grid points in a 4×5 network, and the side length of each small square in the grid is 1. Please clearly mark the position of all lattice points C that make the triangle with vertices A, B and C an isosceles triangle in the diagram.

Question 20

18. The number of a column arranged according to a certain rule is arranged in sequence. If the column is arranged according to this rule, the seventh number of this column is.

19. As shown in the figure, the two sides OC and OA of the right-angle AOCB are located on the axis and the axis respectively, and the coordinate of point B is b (), and d is a point on the side AB. Fold △ADO along the straight line OD, so that the point A just falls on the point E on the diagonal line OB. If the point e is on the image of the inverse proportional function, the analytical formula of the function is

20. As shown in the figure, △ABC is inscribed in ⊙O, and the degree of the arc subtended by ∠A is 120.

The bisectors of ∠ABC and ∠ACB intersect at point D and point E respectively, and CE and BD intersect at point F, and the following four conclusions are drawn: ①; ② ; ③ ; (4). The conclusion is definitely correct. The serial number is

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3. Solution: (There are 6 small questions in this big question, ***60 points) When solving the following questions, the necessary calculus process or reasoning steps must be given.

2 1. (5 points for each small question, *** 10)

(1) calculation:;

(2) Solve the equation:

22.( 10) As shown in the figure, A, D, F and B are on the same straight line, with AD = BF and AE = BC.

And AE∨BC

Verification: (1) △ AEF △ BCD; (2)EF∑CD。

23.( 10) During the social practice in the summer vacation, students in Xiaoming's group contacted a toy manufacturer to assemble toys for the factory, and the factory agreed to assemble 240 sets of toys. These toys are divided into three models: A, B and C, and their number ratio and the number of toys assembled by each person per hour are as follows:

If everyone can assemble the same type of toys at the same speed, complete the following blanks according to the above information:

(1) As can be seen from the above statistics, Class A toys have sets, Class B toys have sets, and Class C toys have sets.

(2) If it takes everyone the same time to assemble 16 sets of type A toys and 12 sets of type C toys, then this value means that everyone can assemble type C toy sets every hour.

24.( 10) The Institute of Agricultural Sciences recommended Yujiang 1 and Yujiang 2 to farmers. Under the same field management and soil quality, the yield per unit area of No.2 rice is 20% lower than that of No.1 rice, but the quality of No.2 rice is good and the price is higher than that of No.1 rice. It is known that the purchase price of No.1 rice country is 1.6 yuan/kg.

(1) When the national purchase price is not what rice is, the benefits of planting are not. Me and no. Are the two paddy fields managed the same, and are the soil quality and area the same?

(2) Last year, Xiao Wang planted No.1 rice and No.2 rice in two plots with the same soil quality and area, and conducted the same field management. After the harvest, Xiao Wang sold all the rice to the country. When sold to the country, the national purchase price of No.2 rice is set at 2.2 yuan/kg, while the national purchase price of No.1 rice remains unchanged, so Xiao Wang earns more 1040 yuan by selling No.2 rice than by selling No.1 rice. So how many Jin of rice did Xiao Wang sell to the country last year?

25.( 10) As shown in the figure, in trapezoidal ABCD, AB//DC, ∠BCD=, AB= 1, BC=2, tan∠ADC=2.

(1) Verification: DC = BC;

(2) E is the point inside the trapezoid, F is the point outside the trapezoid, and ∠EDC=∠FBC, DE=BF, try to judge the shape of △ECF and prove your conclusion;

(3) Under the condition of (2), when BE:CE= 1:2, ∠BEC=, find the value of sin∠BFE.

26.( 10) Machining needs oil to lubricate and reduce friction. An enterprise processes a large-scale mechanical equipment, which consumes 90kg of oil and the oil reuse rate is 60%. According to this calculation, the actual fuel consumption for processing a large mechanical equipment is 36kg. In order to build a conservation-oriented society and reduce fuel consumption, both workshops of the enterprise organize personnel to tackle key problems and reduce actual fuel consumption.

(1) After the technical transformation of workshop A, the lubricating oil consumption for processing a large mechanical equipment was reduced to 70kg, and the oil reuse rate was still 60%. What is the actual fuel consumption of processing a large mechanical equipment after technical transformation in workshop A?

⑵ After technical transformation, workshop B not only reduced the consumption of lubricating oil, but also improved the reuse rate. It is found that the reuse rate of oil consumption will increase by10.6% when the lubricating oil consumption decreases by 1kg, so the actual oil consumption of processing a large mechanical equipment in workshop B decreases to 12kg. What is the consumption of lubricating oil for processing a large mechanical equipment after the technical transformation of workshop B? What is the reuse rate of oil?

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4. Problem solving: (This big question is 2 small questions, ***20 points) The following questions must give the necessary calculus process or reasoning steps when solving problems.

27.( 10) is known as two real roots of the equation, and the image of parabola passes through point A () and point B ().

(1) Find the analytical expression of this parabola;

(2) Let the other intersection of the parabola and the axis in (1) be C and the vertex of the parabola be D, and find the coordinates of points C and D and the area of △BCD; (Note: The vertex coordinates of parabola are

(3) P is a point on the line segment OC, and the passing point P is the axis of PH⊥, which intersects with the parabola at point H. If the straight line BC divides the △PCH into two parts with an area ratio of 2: 3, the coordinates of point P are required.

28.( 10) As shown in Figure 28- 1, a triangular piece of paper ABC, ∠ACB=, AC=8, BC=6. Cut this paper into two triangles along the center line CD of the hypotenuse AB (as shown in Figure 28-2). Translate the paper in a straight line (the points are always on the same straight line), stop translating when the point coincides with the point B, and intersect with the point E during translation, and intersect with the points F and P respectively.

(1) When translating to the position shown in Figure 28-3, guess the quantitative relationship and prove your guess;

⑵ Let the translation distance be x and the repetition area be y, please write the functional relationship between y and x and the range of independent variables;

(3) Is there such an x for the conclusion in (2) that the repeated area is equal to the original △ABC paper area? If it exists, request the value of x; If it does not exist, please explain why.

Figure 28- 1

Figure 28-3

Figure 28-2