First, fill in carefully. I believe you can fill it out quickly and accurately (3 points for each question, 30 points for * * *).
The value range of 1. function independent variable is _ _ _ _ _ _ _;
2. Write a fraction with the letter X (requirements: no matter X takes any real number, the fraction is meaningful and the value of the fraction is positive) _ _ _ _ _ _ _ _ _ _ _ _ _ _;
3 When x = _ _ _ _ _ _ _ _ _ the score is meaningless; When x = _ _ _ _ _ _ _ the value of the score is zero.
4. The result of simplification is _ _ _ _ _ _ _ _ _ _ _ _;
Scientists found that the diameter of the virus is 0.000043 meters, which is expressed as _ _ _ _ _ _ _ _ meters by scientific notation.
6. The image of the inverse proportional function passes through p, as shown in figure 1. According to the image, the analytical formula of the inverse proportional function is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _;
( 1) (2) (3)
7. As shown in Figure 2, point P is a point on the inverse proportional function, and the PD⊥x axis is at point D, so the area of ⊿POD is _ _ _ _ _ _;
8. It is known that the ordinate of the intersection of the inverse proportional function and the linear function y=2x+k is -4, then the value of k is _ _ _ _ _ _;
9. Substitute the inverse proportional function, and the obtained function is marked as y 1, then substitute x=y 1+ 1 into the function, and the obtained function is marked as y3, and so on, so y? 2005=_________;
10. Figure 3 is the emblem of the 24th International Congress of Mathematicians held in Beijing in August 2002. It is a big square consisting of four congruent right-angled triangles and a small square in the middle. If the area of a big square is 13, the area of a small square is 1, the longer right side of a right triangle is A, and the shorter right side is B, then A4+.
Second, the choice: (3 points for each question, ***24 points)
1 1. The following calculation is correct ()
A.； b； c； D.
12. When the distance s is constant, the functional relationship between speed v and time t is ().
A. the proportional function. B. inverse proportional function; C. linear function. D. none of the above
13. If the point (-2, y 1), (-1, y2), (1, y? 3) About the image of inverse proportional function, the following conclusion is correct ().
A.； B. C. D。
14. It is known that the function y=k(x- 1) and about x, their images in the same coordinate system are roughly ().
15. If both x and y in the score are enlarged by 3 times, the value of the score is ().
A. triple; B. unchanged; C. 3 times smaller; D. 6 times smaller.
16. If it takes m people to start a project, then the number of days for such people (m+n) to finish the project is ().
A.(a+m)。 B. BC.
17. The correct calculation result is ()
A.； b； c； D.
18. It is known that in Δ ABC, AB = 4, AC = 3 and BC = 5, then the area of Δ ABC is ().
a4 b . 5 c . 6d . 7
Third, choose an option patiently and never leave it out (4 points for each question, 8 points for * * *, 0 points for wrong selection, and points will be deducted for incomplete selection).
19. Now we need to assemble 30 machines. After assembling six machines, we adopted new technology, which doubled the efficiency of daily work. As a result, it took three days to complete the appointment. The number of machines assembled every day was X, and the following equation was incorrect ().
A.； b； c； D.
20. The waist length of an isosceles triangle is 5cm, and the difference between the center line of a waist and its circumference is 3cm, so the height on the bottom is () cm.
A. 5 cm b. 4 cm c. 3 cm d
Fourth, calculate carefully and cultivate your own computing ability.
2 1.(8 points) Simplify first, then evaluate:, where x=3.
Think it over, I believe you can do it:
22.( 10) Read the following materials first, then answer this question:
Through observation, the equation was found.
The solution is;
The solution is;
The solution is;
…………………………
(1) Observing the solution of the above equation, I guess the solution of the equation about X is _ _ _ _ _ _ _ _ _ _ _ _ _;
(2) According to the above law, it is speculated that the solution of the equation about X is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _;
(3) Transform the equation about X into an equation in the form of _ _ _ _ _ _ _ _ _
23.( 10) The balloon is filled with a certain mass. When the temperature is constant, the pressure P (kPa) of the balloon in the balloon is an inverse proportional function of the balloon volume V (m2), and its image is as shown in the figure (kPa is the unit of pressure).
(1) Write the analytical formula of this function:
When the volume of the balloon is 0.8 cubic meters, what is the air pressure in the balloon?
(3) When the air pressure in the balloon is greater than 144 kPa, the balloon will explode. For the sake of safety, the volume of the balloon should not be less than several cubic meters.
24.( 10 points) as shown in the figure: in a square ABCD, e is the midpoint of AB and f is the upper point of AD, so find the degree of ∠FEC.
Do it with your heart and show your application ability.
25.( 10) Every day, the supermarket buys a batch of T-shirts from other places for 50,000 yuan. Due to the good sales, the mall urgently allocated186,000 yuan to buy back the T-shirts twice as much as the first time, but the second time was more expensive than the first time 12 yuan, and the mall uniformly sold them at the price of each piece in 80 yuan to shorten the inventory time.
26.( 12 point) As shown in the figure, the image of linear function y=kx+b and the image of inverse proportional function intersect at point A and point B.
(1) According to the conditions in the figure, find the analytical expressions of inverse proportional function and linear function;
(2) According to the function image, directly write out the value range of X whose linear function value is greater than the inverse proportional function value.
Answer: