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 Wysłany: Wto 6:46, 08 Lut 2011 Temat postu: tory burch shoes Simulation in Mathematics in 2009 |
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2009 papers in the examination of a mathematical simulation
(The title 10 points) placed four on the desktop cards were marked with positive numbers 1,2,3,4, these cards are identical in addition to numbers, the opposite of these cards face up on the table even after washing, from which a Any one out, write down the numbers on the cards after the shuffle back based upon the reverse side facing up, then arbitrarily drawn from a B, note the number on the card, and finally A and B are the two numbers together down . (1) tree with a list or draw method and find the sum of two numbers, the probability of 5; (4 points) (2) If the antagonism by the way, play games, when the two numbers greater than 5 , A wins; the contrary, B wins. Whether it is fair to both sides in this game? Please explain the reasons. If the game is unfair to both sides, please develop scoring rules make the game fair to both sides. (4 points) 25. (The title 10 points) has a roadside telegraph pole and a square billboard AB. One day, Xiao Ming suddenly found that, in the sunlight, electric poles fell on top of A shadow of just 25 square CDE Question ads above the midpoint of G at the cards, but the shadow of the square billboard just on the point E on the ground Department (see chart). Known BC = 5 m, a square of side length 3 m, DE = 4 meters, find the height of poles (accurate to 0.1 meters). 26. (This question l0 points) As the point P in the Y axis, QP cross-axis in A, B two points,[link widoczny dla zalogowanych], extending the link to BP and QP at point C, point C had a straight line y = 2x + b cross-axis at point D , and Q) P the radius, / the. AB = 4. (1) Prove: CD is the tangent 0P. (2) If the quadratic function y = + (0 +1) x +6 the image passes through the point, saying, find the analytic form of the quadratic function,[link widoczny dla zalogowanych], and write the quadratic function value is less than one function y = 2x + b values for a range of J / , / 26 Question 27. (The title 12 points) recently developed a factory by the A, B and two kinds of materials produced by the A, said two new products,[link widoczny dla zalogowanych], products of known A-type products 40 and 20 with a total weight 2180kg, A-type products 10 and said total weight of 60 products 2580kg. (1) Find A, two types of products, how much per kg of the weight, and according to the results obtained in the following table spaces to fill in a material B materials required for each piece of A-type products, said each type of material 20kg products, materials needed 12kg (2) According to the survey, procurement of the plant each year to a maximum of 45 tonnes of material and B material 28.5 tons, environmental protection department under the production ��4 year only two products, a total of 2000. If the A-type products address each individual's employment l0, said each of 12 individual products can solve the employment problem, and asked each of the two products can be put into operation to maximize the number of people to solve the employment problem? And explain at this time the arrangements for the production plant. 28. (12 points out of the question) is known Si 4OB = 45. , P is a point on the edge of OA, OP =- 4, / 2, to point P as the center circle, 0P pay OA at point c (point P in 0, C between, as shown in Figure 1), point Q is a straight line OB on a fixed point, connection, cross-OP at point D. It is known that OQ: 7 ʱ, _PD:. DQ3 (1) find the radius 0P; (2) When the point Q on the ray D8 movement to the point Q as the center, OQ radius for the QQ,[link widoczny dla zalogowanych], if the QQ and Q) P tangent, find the length of OQ; ( 3) as shown in Figure 2, connected CD and extending the line OB at point E, the existence of such a point of Q, so ADEQ for the isosceles triangle, if there is,[link widoczny dla zalogowanych], try to determine the location of point Q; if there is, please explain the reasons. Figure 1D Question EQB 28 Figure Figure 2 present the country to stay at i Lei Bin 1. C2. D3. B4. D5. C6. C7. C8. B9. �� 210.611.1 027. �� AB each of the two models re-36kg, 37kg. Cells in this 25kg, 16kg �� can best solve the employment problem of 22,000 people, this time producing A1000 parts B1000 parts. 28. �� radius 2 �� OQ = or 7 �� OQ = 8 or 12-4, / / (Editor CHEN Dong)
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