(Examination time: 120 minutes, full mark: 150)
Description:
1. Before answering the questions, candidates must fill in their names, admission ticket numbers and subjects in the corresponding positions on the answer sheet, and fill in their admission ticket numbers, examination certificate numbers, names and schools in the sealed line of the test paper, and fill in their seat numbers in the lower right corner of page 2.
2. The answer to the first volume of multiple-choice questions must be filled in the corresponding answer column on the answer sheet, and the answer to the first volume is invalid.
3. Non-multiple-choice questions are answered directly in the corresponding position of Volume 2 with a pen or ballpoint pen.
At the end of the exam, the test paper and answer sheet should be handed in together.
The first volume (multiple choice questions ***24 points)
A, multiple-choice questions (this big topic ***8 questions, each question 3 points, ***24 points. Of the four options for each question, only one option meets the requirements. )
1. In the plane rectangular coordinate system, the position of point P (- 1, 2) is
A, the first quadrant b, the second quadrant c, the third quadrant d and the fourth quadrant
2. It is estimated that the size of the cube root of 68 is in
B is between a, 2 and 3, C is between 3 and 4, D is between 4 and 5, and D is between 5 and 6.
3. As shown in the figure, it is a three-view view of the geometry composed of some identical small cubes. The number of these same cubes is
a、7 B、6 C、5 D、4
4. In the plane rectangular coordinate system, multiply the abscissa of point A (1, 2) by-1, and the ordinate remains unchanged, so as to get point A? What about point a and point a? The relationship is
A, about x axis symmetry b, about y axis symmetry
C. with respect to the origin symmetry d, translate point a to the negative direction of the x axis by one unit.
5. As shown in the figure, it is known that the quadrilateral ABCD is a parallelogram, and the following conclusion is incorrect.
A, when AB=BC, it is a diamond B, and when AC⊥BD, it is a diamond.
C, when ∠ABC=900, it is a rectangle D, and when AC=BD, it is a square.
6. As shown in the figure, in the known quadrilateral ABCD, R and P are points on BC and CD respectively, and E and F are the midpoint of AP and RP respectively. When point P moves from C to D on the CD, but point R does not move, the following conclusion holds.
A, the length of line segment EF gradually increases; B, the length of the line segment EF decreases gradually.
C, the length of line segment EF is constant d, and the length of line segment EF is related to the position of point p.
7. There is no intersection between the image of the function and the straight line, so the value range of k is
A, B, C, D,
8. If the two roots of the quadratic equation with one variable about X are between 0 and 1 (excluding 0 and 1), the range of a is
A, B, C, D,
Volume 2 (multiple choice questions * * 126)
2. Fill in the blanks (this big question is * *10, with 3 points for each question and 30 points for * * *. Fill in the answer on the line of the question)
9. If □+2=0, the real number to be filled in □ is _ _ _ _ _ _ _ _.
On the afternoon of May 26th, 2008, the Olympic torch relay in Yangzhou Station ended successfully with the sound of "Come on China" all the way. The whole journey 1 1.8km, using scientific notation 1 1.8km is _ _ _ _ _ _ _.
1 1. In the function, the value range of the independent variable x is _ _ _ _ _ _ _ _ _ _ _.
12. given x+y=6, xy=-3, X2Y+XY2 = _ _ _ _ _ _ _ _ _ _ _ _ _ _
13. Our tourism slogan in Yangzhou is "Poetry and Painting Slender West Lake, Humanity and Ancient Yangzhou". Give you peace, give you vitality. "In order to understand the general public's awareness rate of this tourist slogan, the appropriate survey method should be _ _ _ _ _. (Select "Census" or "Sample Survey")
14. Xiaohong's words of encouragement during the exam were "Be careful? Specification? " "Diligence" is written on the six faces of a cube, and its plane development is shown in the figure, so in the cube, the word opposite to "fine" is _ _ _ _ _ _ _ _ _ _ _.
15. As shown in the figure, a pair of triangles are stacked together, and the degree of ∠ α in the figure is _ _ _ _ _ _ _.
16. As shown in the figure, in the diamond-shaped ABCD, DE⊥AB, the vertical foot is E, DE=6㎝, sinA=, then the area of the diamond-shaped ABCD is _ _ _ _ _ _ \ 2.
17. As shown in the figure, △ABC is an isosceles right triangle, BC is the hypotenuse, and P is a point within △ABC. Rotate △ABP counterclockwise around point A and then rotate with △ABP? Coincidentally, if AP=3, then line PP? The length of is equal to _ _ _ _ _ _.
18. According to the program shown in the figure, if the value of x entered at the beginning is 48, we find that the first result is 24, and the second result is 12 ... Please explore that the first result obtained in 2009 is _ _ _ _ _ _ _ _ _.
3. Answer (This big question has ***8 questions, with ***96 points. The solution should be written in words, proving the process or calculation steps)
19. (The full mark of this question is 14, 6 points for each (1) question and 8 points for each (2) question)
(1) calculation:.
(2) In class, Miss Li asked such a question:
Known, find the value of algebraic expression.
Xiao Ming thinks it is too complicated to substitute directly into the calculation. Please help him solve it and write down the specific process.
20. (The full mark of this question is 10)
On Sunday morning, two groups of tourists, A and B, came to the Panda Pavilion in Zhuyuwan Scenic Area Zoo. The ages of the two groups of tourists are as follows:
Team A: Team B:
(1) Complete the following table according to the above data:
(2) According to the previous statistical analysis, answer the following questions:
① The statistical table that can represent the average age of tourists in Team A is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _;
② Can the average reflect the age characteristics of tourists from Team B? Why?
2 1. As shown in the figure, in △ABD and ACE, AB=AD, AC=AE, ∠BAD=∠CAE, connecting BC and DE intersect at point F, and BC and AD intersect at point G. ..
(1) Try to judge the quantitative relationship between BC and DE, and explain the reasons;
(2) If ∠ABC=∠CBD, is the line segment FD the median term in the ratio of the line segments FG and FB? Why?
22. (The full mark of this question is 12)
An opaque bag contains two white balls and 1 red balls, all of which are the same except the color.
(1) Xiaoming thinks that after mixing evenly, he can find any ball, whether it is a white ball or a red ball, so he can also shape white balls and red balls. Do you agree with him? Why?
(2) After mixing evenly, two balls are formed by one hand. Please find the probability that both balls are white by list or tree diagram;
(3) After mixing, use it to shape a ball at will. How to add red balls when the forming probability of red balls is zero?
23. (The full mark of this question is 12)
Teachers and students of a school actively donated money to the Wenchuan earthquake-stricken area. After learning that tents were urgently needed in the disaster area, they immediately went to a local tent factory to purchase. There are two specifications of tents: small tents for three people, each 160 yuan; /kloc-a big tent for 0/0 people, one in 400 yuan. The school donated 96,000 yuan, just enough for 2,300 people to live temporarily.
(1) asked how many small tents were used by three people in the school, and how many tents were used by 10 people;
(2) The school now plans to rent 20 trucks of A and B models to transport these tents to the disaster area urgently. It is known that each truck of A can transport 4 small tents and 1 1 large tents at the same time, and each truck of B can transport 12 small tents and 7 large tents at the same time. How to arrange a and b trucks to transport these tents to the disaster area at one time? What kinds of schemes are there?
24. (The full mark of this question is 12)
As shown in the figure, in two concentric circles with O as the center, AB intersects the small circle at point A and the great circle at point B through the center O. The tangent AC of the small circle intersects the great circle at point D, and CO bisects ∠ACB.
(1) Try to judge the position relationship between BC's straight line and small circle, and explain the reasons;
(2) Try to judge the quantitative relationship among AC, AD and BC, and explain the reasons;
(3) If AB=8㎝ and BC= 10㎝, find the area of the circle surrounded by the big circle and the small circle. (Results keep π)
25. (The full mark of this question is 12)
The cost of a seasonal commodity produced by Red Star Company is 20 yuan. Through market research, it is found that the relationship between the daily sales volume m (pieces) and the time t (days) in the next 40 days is as follows:
In the next 40 days, the functional relationship between daily price y 1 (yuan/piece) and time t (day) in the first 20 days is (and t is an integer), and the functional relationship between daily price y2 (yuan/piece) and time t (day) in the last 20 days is (and t is an integer). Let's study the problems related to the sale of this commodity:
(1) Carefully analyze the data in the above table, and use the knowledge of the learned linear function, quadratic function and inverse proportional function to determine the relationship between m (piece) and t (day) that satisfy these data;
(2) Please predict which day will have the largest daily sales profit in the next 40 days, and what is the maximum daily sales profit?
(3) In the first 20 days of actual sales, the company decided to donate one yuan of profit for each commodity sold (A
26. (The full mark of this question is 14)
It is known that in right-angle ABCD, AB= 1, point M is on diagonal AC, straight line L passes through point M and is perpendicular to AC, and intersects with AD at point E. ..
(1) If the straight line L intersects the side BC at point H (as shown in figure 1), AM= AC, AD=A, find the length of AE; (represented by algebraic expression with a)
(2) In (1), divide the area ratio of the two parts of the straight line L by 2: 5, and find the value of a;
(3) If AM= AC and the straight line L passes through point B (as shown in Figure 2), find the length of AD;
(4) If the straight line L intersects the edges AD and AB at points E and F respectively, then AM= AC. Let the length of AD be X and the area of △AEF be Y, find the functional relationship between Y and X, and point out the value range of X (you don't need to write to find the value range of X).