Of the four options in the following question, only one is correct. Please fill in the correct answers in the table in Volume 2.
First, multiple-choice questions (2 points for each small question, ***24 points)
The inverse of 1 and -2 is-.
2nd century BC to 2nd century BC
On a certain day in February this year, the lowest temperature in our city was -2℃ and the highest temperature was 10℃, so the highest temperature on that day was higher than the lowest temperature.
A.- 12℃b . 12℃c . 10℃d . 8℃
The cube root of 3.-8 is-.
a . 2 B- 2 c . 4d-4
According to statistics, by the end of February, 2006, the balance of savings deposits of Nanjing residents had reached 18400000 yuan, which was expressed as-by scientific notation.
A.18.4×10.06 million yuan B.10.84×10.07 million yuan C.10.84×10.07 million yuan D./kloc-
5. If the radii of two circles are 3 and 4 respectively and the center distance is 7, then the positional relationship between the two circles is-().
A. inline.
At present, there are 20 Fuwa cards in the 2008 Olympic Games, including 6 Beibei cards, 5 Jingjing cards, 4 Huanhuan cards, 3 Yingying cards and 2 Nini cards. Each card is the same size and texture. The side painted with Fuwa is upside down on the table, and a card is randomly drawn from it. The probability of drawing Jingjing is-.
A.B. C. D。
7. The coordinates of the parabola vertex are-().
A.(2，3) B.(3，2)c .(-3，2)d .(-3，—2)
8. This school donated books to poor areas. The following is the number of books donated by eight students: 2, 2, 3, 6, 5, 6, 7, so the pattern of this set of data is-.
A.2 B.3 C.5 D.6
9. The picture below shows Xiaoming's building blocks made of eight small cubes. Can you tell me the front view of the geometry? - ().
10. If the voltage across the constant resistor R is 5 volts and the current flowing through the resistor is 1 amp, the image of the current I flowing through the resistor changing with the voltage u across the resistor is-.
1 1, as shown in the figure, is a 5×5 square network, with points D and E as two vertices, making lattice triangles at different positions, so that
The lattice triangle is congruent with △ABC, so the lattice triangle can draw-() at most.
A.2 B.4 C.6 D.8
12, as shown in the figure, is a square pattern inlaid by four congruent right-angled triangles and 1 small squares. It is known that the area of the big square is 49 and the area of the small square is 4. If two right-angled sides (x > y) of a right-angled triangle are represented by x and y respectively, please observe the pattern and point out that the following relationship is incorrect.
a . x2+y2 = 49 b . x-y = 2 c . 2xy+4 = 49d . x+y = 13
DrawingNo. 1 1 drawingNo. 12
Volume II (***96 points)
First, multiple-choice questions (2 points for each small question, ***24 points)
The title is123455678911112.
answer
Two. Fill in the blanks (3 points for the first question, *** 15 points)
13. Decomposition factor: A2-2A = _ _ _ _ _ _ _ _ _ _ _ _
14, and the figure on the right is a broken line statistical chart of a group of data.
The extreme range of this set of data is.
The roots of 15 and the unary quadratic equation x+2x-3 = 0 are.
16, as shown in the figure, if BD is ⊙O and ∠ A = 30, ∠ CBD = _ _ _ _ _ _
17, a science and technology team made a robot, which can walk and rotate according to instructions. An instruction requires the robot to go straight 1 m, and then turn left 45 degrees. If the robot repeatedly executes this instruction, the robot will walk meters from the time of leaving to the time of returning to the original place for the first time.
/DrawingNo. KLOC-0/6/DrawingNo. KLOC-0/7
Three. Problem solving (6 points for each small question, ***24 points)
18, calculation
19. If the image of the inverse proportional function passes through the point (-3,2).
(1) Find the value of k; (2) Judge whether the point p(2,-1) is on the function image.
20. Solve the equation:
2 1. When calculating the total average score of the semester, teachers follow the following standards: homework accounts for 10%, tests account for 30%, mid-term exams account for 25%, and final exams account for 35%. Student Xiaoli's grades are as follows:
Please work out Xiao Li's average score.
Four. Proof and operation (7 points for each minor question in questions 22, 23 and 24, 8 points for questions 25, and 29 points for * * *).
22. Xiaoming and Xiaogang play games with two turntables as shown in the picture. The rules of the game are as follows: rotate the two turntables respectively. When the product of the numbers turned out by the two turntables is odd, Xiao Ming gets 2 points; When the product of the transferred numbers is even, Xiao Gang gets 1 point. Is this game fair to both sides? If it is fair, explain the reasons. If not, how to modify the rules to make the game fair to both sides?
23. As shown in the figure, it is known that the side length of square ABCD is 4, extending CB to E, making BE=3, connecting AE, crossing A as AF⊥AE, and crossing DC as F.
(1) verification: △ ADF △ Abe; (2) Find the value of cos∠BAF.
24.( 1) In figures (1) to (4), the pattern areas formed by the shaded parts are all 4. Please observe them carefully, and then write down another * * * feature that all four modes have;
(2) With the help of the grid in Figure (5), please design a new pattern, so that the pattern has two * * * identical features specified in your solution (1).
25. As shown in the figure, a rectangular coordinate system is established in the square grid diagram, and an arc passes through grid points A, B and C, please.
Do the following in the grid:
(1) Please determine the position of point D at the center of the arc, and the coordinates of point D are _ _ _ _ _ _ _;
(2) When AD and CD are connected, the radius ⊙D is _ _ _ _ (as a result, the root sign is retained), and the central angle of the sector DAC is _ _ _ _ _ _ _ _ _ _;
(3) If the sector DAC is a side development diagram of a cone, the radius of the bottom surface of the cone is _ _ _ _ (the root sign is reserved as a result).
Five, (this question out of 9 points)
26. City A is the largest shrimp culture area in northern China, and is listed as a key shrimp culture area by the Ministry of Agriculture. The shellfish product Xishigu is a specialty of this city. A coastal farm plans to cultivate pollution-free standardized prawns and Pleurotus ostreatus this year. Due to the limitation of water surface, the total amount of seedlings of these two varieties is only 50 tons. According to the empirical calculation, the initial investment, the investment in the cultivation period and the output value per ton of seedlings of these two varieties are as follows (unit: 1000 yuan/ton):
The investment output value during the early investment period of variety breeding.
Xi Shi's tongue 9 3 30
Duixia 4 10 20
Affected by economic conditions, the initial investment of the farm does not exceed 360,000 yuan, and the investment during the breeding period does not exceed 290,000 yuan. The seedling quantity of Shih Tzu is x tons.
(1) Find the value range of x;
(2) Let the total output value of these two varieties be Y (1000 yuan), try to write the functional relationship between Y and X, and find out what is the maximum value of Y when X equals? What is the maximum value?
Six, (this question out of 9 points)
27. A patrol boat sails from Pier A to Pier B, and then returns to Pier A at a constant speed, as shown in the figure, which is a function of the distance from Pier A to S 1 (km) and the sailing time t (hours). When the patrol boat set off from Pier A, a cruise ship was sailing to Pier B at a constant speed of 20 kilometers per hour 20 kilometers ahead.
(1) Write the functional relationship between the distance S2 (km) from the cruise ship to Terminal A and its sailing time t (hours), and draw the functional image in the graphic coordinate system;
(2) Find the time when the patrol boat meets the cruise ship during the voyage.
Seven, (full mark for this question 10)
28，△ABC，∠ ACB = 90？ , AC = BC = 1+, rotate counterclockwise around point C by an angle α(0?