15不等式组与简单的线性规划（15 inequalities and simple linear programming）.docVIP

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15不等式组与简单的线性规划（15 inequalities and simple linear programming）.doc

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15不等式组与简单的线性规划（15 inequalities and simple linear programming）

15不等式组与简单的线性规划（15 inequalities and simple linear programming） Third inequalities and simple linear programming Five years of college entrance examination 2009 college entrance examination questions First, the multiple-choice question 1. (2009 Shandong rolls) set X, y to meet the constraints, If the objective function z=ax+by (a0, b0) is a maximum value of 12, Then the minimum value is () A. B. C. D. 4 Answer A The analytic inequality expresses the planar region, as shown in the shaded part, when the line is ax+by= Z (a0, b0) When the intersection point of straight line x-y+2=0 and line 3x-y-6=0 (4,6), The objective function z=ax+by (a0, b0) gets the maximum 12, That is, 4a+6b=12, that is 2a+3b=6, and =, so choose A. []: the conception of proposition comprehensively examines the linear programming problem and the value function from the basic inequality problem. Can accurately draw the inequality of planar regions, the most value and be able to obtain the objective function, to form known as 2a+3b=6, the minimum value for the commonly used product and by basic inequality solution. 2. (2009 Anhui coiling) if the plane area represented by the inequality group is divided into two parts of equal area by line, then the value is A. B. C. D. Answer B Regional inequality analytic plane as shown in the shaded part of delta ABC From A (1, 1), and B (0, 4), C (0,) Star delta ABC=, and the The intersection of D, by knowledge, R * A. The area of the plane area represented by the inequality group of 3. (2009 Anhui volume) is equal to A. B. C. D. Analysis by the available, so yin =, select C. Answer C 4. (2009 Sichuan article) a and B two production of an enterprise, a product known to use A production per ton of 3 tons of raw materials, B raw materials 2 tons per ton of ethylene product; to use A B 1 tons of raw materials, 3 tons of raw materials, sales of a product can be obtained per ton profit of 50 thousand yuan, per ton of ethylene product profit 30 thousand yuan. The enterpr