Class: name: seat number: grade: 1. The values of multiple-choice questions (2 points for each small question, ***20 points) 1 and-32% are () A, -3 B, 3 C, 9 D, -92, and the following quadratic root is the simplest quadratic root () A, B, C, D. The following calculations are correct: () a, x3+x3 = x6b, A6 ÷ A2 = A3c, 3a+5b=8ab D, (-AB) 3 =-A3B34, 1mm is one billionth of a meter, and the diameter of individual red blood cells is about 0.0000077m Then the diameter of red blood cells in human body. On the number axis, it can be expressed as () 6. As shown in Figure 3, ∠BAC is folded into ∠BAC along DE, so that AD and A'D overlap, and A'E and AE overlap. If ∠ A = 300, ∠ 1+∠ 2 = (). B, you can directly see the total number of students in the class from the picture; C, from the picture, we can directly see the changes of various ball games that the whole class likes in junior high school for three years; D from the picture, we can directly see the relationship between the number of people who like all kinds of ball games in the class now. 8. In the following formula, the functional relationships that can express that Y is X are () A, y= B, y= C, y= D, y= 9, as shown in Figure 5, where PA is the tangent of ⊙O, A is the tangent point, PO intersects ⊙O at point B, PA = 8, OA = 6. Then the value of tan∠APO is () a, b, c, d, 10. In the same rectangular coordinate system, the image with function y=kx+k and y= (k) is roughly () 2. Fill in the blanks (2 points for each small question, * * 20 points) 65438+. 12, the value range of the independent variable x of the function y= is. 13. According to the World Statistical Yearbook 2000, the population of China, the United States, India and Australia are 122389, 265 19, 945 1, 18365438 respectively. Then the population ratio of the above four countries is (accurate to 0.0 1) 14, and the area of a circular flower bed is 300лm2. You estimate that its radius is (the error is less than 0. 1m) 15. Xiaoming's back is divided into four steps: (1) (2) Take out two pieces from the left pile and put them in the middle pile; (3) Take out two pieces from the right pile and put them in the middle pile; (4) If there are several cards in the left pile, take a few cards from the middle pile and put them in the left pile. When Xiao Liang knows Xiao Ming's operation steps, he will accurately tell the existing number of cards in the middle pile. What do you think is the current number of cards in Zhongdui? 16. On the cross section of a square, at most one edge can be cut. 17. To make a rotation graph of a graph, we should know not only the position of the original graph, but also the position of the original graph. 18, Xiao Ming saw from the front mirror that the clock on the back wall was half past two, so the actual time was. 19, when a classmate used a calculator to find 20 numbers, he mistyped 88 as 8, so the difference between the calculated average and the actual average is. 20. A beam of light starts from point A (0, 1) on the Y axis and passes through point B (3, 3) after being reflected by point C on the X axis, so the length of light from point A to point B is. 3. Answer the following questions (there are 10 small questions, ***80 points) 2 1, (the full score of this small question is 5 points) When a= and b=2, the calculated value is 22. (Full score is 5) It is known that CD is a greenhouse, with a height of 3 meters, the bottom frame G of its south window is 1 meter away from the ground, and the maximum shadow length CF of CD left on the ground is 2 meters. Now it is planned to build the AB building with the height of12m south of point A, which is 7 meters away from point C (let A, C and F be on the same level) (65433) (2) Ask whether the completion of AB building will affect the lighting of greenhouse CD, and try to explain the reasons. 23. (The full score of this small question is 6) Observe the picture below and explore its laws. How many points does it take to put the 1 th "small room", the second "small room" and the third "small room" together? (1), how many points does it take to place the10th such "small house"? Figure 7(2). Write down the total number of points needed to place the nth such "small room" and the relationship between S and N ... 24. (The full score of this small question is 6) It is known that the parabola intersects with the X axis at two points A (- 1 0) and B (3 3,0), and intersects with the Y axis at point C (0 0,3). (1) Find the analytical formula of parabola; (2) Symmetry axis equation and vertex M coordinate of parabola; (3) Find the area of quadrilateral ABMC. 25. (The full mark of this question is 8)

e

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Duanjia road

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Figure 8 Classmate: Have you ever been to Huangshan Mountain? On the uphill road of Huangshan Mountain, there are some intermittent steps, as shown in Figure 8, which is a schematic diagram of steps A and B.. The numbers in Figure 8 indicate the height (unit: cm) of each step, and the variance p, b, d, g, f, a, h, (65438+) of d, e, c and d. Please use the relevant statistical knowledge you have learned (mean, median, variance and extreme range) to answer the following questions: (1) What are the similarities and differences between these two steps? (2) Which step is more comfortable? Why? (3) In order to facilitate tourists' walking, it is necessary to reform the uphill path. For these two steps, please put forward reasonable reconstruction suggestions under the condition that the number of steps remains unchanged. 26. (The full score of this small question is 8) In the plane rectangular coordinate system, the coordinate of the center o is (-3,4), and a circle is made in the coordinate plane with the radius r.. (1) When r is, (2) When r is, the circle O has two intersections with the coordinate axis; (3) When r, the circle O has three intersections with the coordinate axis; (4) When r, the circle O has four intersections with the coordinate axis; 27. (The full score of this small question is 10) In order to increase the intensity of "returning farmland to forests", a series of incentive measures have been introduced in a certain area: in the process of "returning farmland to forests", farmers whose forest land area reaches 10 mu every year and the forest land area increases every year can get a living allowance of 2,000 yuan in that year, each time exceeding 10. The following table shows the total annual income of a farmer in the first two years after returning farmland to forests: the total annual income per mu of forested land is 2002203 100 yuan and 2003265560 yuan (note: total annual income = living allowance+government reward+crop income) (1). Try to determine the values of a and b according to the above information. (2) Since 2003, if the newly-increased mu of forest land of this farmer grows at the same speed as that of the previous year, what will be the total income of this farmer in 2005? 28. (The full score of this small question is 10) A man was setting up a stall in the market to "touch the lottery". He saw a black bag in his hand, which contained 20 white balls with the same size, shape and quality, and the numbers (No.65438 +0-20) and 1 red balls were written on each ball. It is agreed to pay 1 yuan in advance, write a number within 1-20, and touch the Red Ball Award 5 yuan. If the number you touch is the same as the number you write, you will be awarded 10 yuan. Do you think this game is good for lottery winners? State your reasons. (2) If a lottery winner wins many prizes, how much will he earn or lose each time? 29. (Full score for this small question 10) It is known that the radius of the cone bottom surface r = 20 cm and the height h= cm. Now there is an ant starting from a point on the bottom edge. Crawl on the edge for a week and then return to point A to find the shortest distance for ants to crawl. As shown in the figure, in the plane rectangular coordinate system, the quadrilateral OABC is rectangular, and the coordinates of point A and point B are (6,0) and (6,8) respectively. Moving points M and N start from O and B at the same time, respectively, and move at the speed of 1 unit per second. Among them, point M moves along OA to endpoint A, point N moves along BC to endpoint C. Through point N as NP⊥BC, it crosses AC to P and connects MP. It is known that the moving point has moved for x seconds. The coordinate of point (1)P is (,); (expressed by an algebraic expression containing X) (2) Try to find the maximum value of ⊿MPA area and find the value of X at this time. (3) Please explore: When X is what value, ⊿MPA is an isosceles triangle? How many situations have you found? Write your research results. In 2009, the full-truth simulation test paper for the senior high school entrance examination answered: 1. 1，C； 2、C； 3、D； 4、A； 5、C； 6、B； 7、D； 8、B； 9、A； 10、B； Second, 1 1, 8; 2. and; 13、 ; 14, or; 15、6; 16, six; 17, rotation center and rotation angle; 18、9:30; 19、4; 20、5; 3. 2 1, original type =; When, the original formula =; 22. As shown in the figure, it is easy to calculate AE = 8m, from AC = 7m and CE= 1 m.. According to the ratio, CH= 1.5 m 1 m, which affects the lighting. 23、 1 1, 17,59; s = 6n- 1； 24 、( 1)y =—x2+2x+3； (2)x= 1，M( 1，4)，(3)9； 25.( 1) Similarity: the heights of steps A and B are uneven, but the difference is that the height range of step A is smaller than that of step B; (2) step a, because the variance of the height of each step in step a is smaller than the variance of step b; (3) The smaller the variance of each step height, the better. 26 、( 1)r = 3； (2)3 < r < 4； (3)r=4 or 5; (4) r > 4 and r ≠ 5; 27. (1)a= 1 10, b = 90 Hint: It can be obtained from the solution; (2) As can be seen from the information in the table, the annual growth rate of newly-added forest land mu is 30%, so the forest land mu in 2004 was 26× (1+30%) = 33.8 mu, and in 2005 it was 33.8× (1+30%) = 43.94 mu. 28, (1)P (touch the red ball) = P (touch the ball with the same number) =; Therefore, it is not good; (2) The average income per time is 0, so the average loss per time is RMB. 29, 80 cm; Prompt: r=20cm, h=20 cm, bus l=80cm, the arc length of the sector after the expansion of the cone edge is, and the central angle of the sector after the expansion of the cone edge is 90, so the shortest distance is 80cm. 30 、( 1)(6—x，x)； (2) Let the area of ⊿MPA be S, and the height on the side of ⊿MPA is X, where 0 ≤ x ≤ 6. ∴ S = (6-x) × x = (-x2+6x) =-(x-3)。 ② If MP = ma, MQ = 6-2x, pq PQ= x, pm = ma = 6-x, ∫ PM2 = Mq2+Pq2 ∴ (6-x) 2 = (6-2x) 2+(x) 2 in RT ∴ PMQ.