7-4二元一次不等式(组)与简单的线性规划问题[收.pdf

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1、一、选择题1(文)(2011 浙江文，3)若实数 x，y满足不等式组x2y502x y70 x0，y 0，则 3x4y的最小值是()A13 B15 C20 D28 答案A 解析本题考查了线性规划问题如上图所示，令 z3x4yy 34xz4求 z的最小值，即求直线y34xz4截距的最小值经讨论之，点 M 为最优解，即为直线x2 y50与 2xy70的交点，解之得M(3,1)zmin9413.(理)(2011 浙江理，5)设实数 x、y满足不等式组x2y502xy70 x0，y 0，若 x、y为整数，则 3x4y 的最小值为()A14 B16 C17 D19 答案B 解析本题主要考查简单线性规则问

2、题等基础知识，如上图，作出不等式组表示的平面区域，作直线 l0：3x4y0平移 l0与平面区域有交点，由于x，y为整数，结合图形可知当x4，y1时，3x4y取最小值为16，选 B.2(2011 广东理，5)已知平面直角坐标系 xOy上的区域 D 由不等式组0 x 2y2x 2y给定，若 M(x，y)为 D 上的动点，点A的坐标为(2，1)，则zOM OA的最大值为()A4 2 B3 2 C4 D3 答案C 文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B

3、10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M

4、6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S

5、4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R

6、5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F

7、9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J

8、4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:

9、CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4解析本题考查线性规划、数量积的坐标运算OMOA(x，y)(2，1)2xy，作直线 l0：2xy0，将 l0向右上方平移，当l0过区域 D中点(2，2)时，OM OA 2xy取最大值 2 224.选 C.3给出平面区域如下图所示，若使目标函数Zaxy(a0)取得最大值的最优解有无穷多个，则a的值为()A.14B.35C.4 D.53答案B 解析目标函数 Za

10、x y(a0)取得最大值的最优解有无穷多个，则l应与 AC重合，文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10

11、M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1

12、S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5

13、R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4

14、F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8

15、J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码

16、:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4即aKAC22521 535，a35.4(文)(2012 汕头模拟)二元一次不等式(x2y1)(xy3)

17、0表示的平面区域为()答案C 解析(x2y1)(xy3)0，xy30，或x2y10，画图易知，C正确(理)(教材改编题)如图阴影部分表示的区域可用二元一次不等式组表示为()文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码

18、:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1

19、B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10

20、M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1

21、S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5

22、R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4

23、F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8

24、J4A.xy10 x2y20B.xy10 x2y20C.xy10 x2y20D.xy10 x2y20答案A 解析两直线方程分别为x2y20与 xy10.由(0,0)点在直线x2y20右下方可知 x2y20，又(0,0)在直线 xy10左下方可知 xy10，即xy10 x2y20为所表示的可行域5在平面直角坐标系上，不等式组yx1，y3|x|1所表示的平面区域的面积为()A.2 B.32C.3 22D2 答案B 解析yx1，y3|x|1?yx1，y3x1，x0或yx1，y3x1，x0，画出可行域如下图，SABCSADCSADB12211221232.文档编码:CU6Z1B10A10M6 HI1S

25、4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R

26、5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F

27、9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J

28、4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:

29、CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B

30、10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M

31、6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J46(2012 广东五校期中)当点M(x，y)在如图所示的三角形ABC 区域内(含边界)运动时，目标函数z kx y取得最大值的一个最优解为(1,2)，则实数k的取值范围是()A(，11，)B1,1 C(，1)(1，

32、)D(1,1)答案B 解析由目标函数zkx y得 y kxz，结合图形，要使直线的截距 z最大的一个最优解为(1,2)，则 0kkAC1 或 0kkBC1，即 k1,1 二、填空题7(2011 湖南文，14)设 m1，在约束条件yx，ymx，xy1下，目标函数 z文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4

33、文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:C

34、U6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B1

35、0A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6

36、 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4

37、J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5

38、 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9

39、Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4x5y的最大值为 4，则 m的值为_ 答案3 解析本题是线性规划问题先画出可行域，再利用最大值为4求 m.由 m1可画出可行域如上图所示，则当直线zx5y过点 A时 z有最大值由ymxxy1得 A(1m 1，mm 1)，代入得1m 15mm 14，即解得 m3.8(2012 安徽马鞍山质检)已知点 P(x，y)满足x4y303x5y25x10，定点A(2,0)，则|OP|sin AOP(O为坐标原点)的最大值为_ 答案225解析可行域如下图阴影部分所示，A(2,0)在 x正半轴上，所以|OP|sin

40、AOP即为 P点纵坐标，当P位于点 B时，其纵坐标取得最大值225.文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A

41、10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 H

42、I1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3

43、O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 Z

44、E4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9

45、X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档

46、编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4三、解答题9设 z 2y2x4，式中 x，y满足条件0 x1y22yx1，求 z的最大值和最小值解析

47、作出二元一次不等式组0 x1y22yx1所表示的平面区域如上图阴影部分及边界考查 z2y2x4，将它变形为 yx12z2，这是斜率为 1随 z变化的一组平行线，12z2是直线在y轴的截距，当直线在y轴上的截距最大时，z 的值最大，当然直线要与可行域相交，即在满足约束条件时，目标函数z2y2x4 取得最大值；当直线在y轴上的截距最小时，z的值最小，当然直线要与可行域相交，即在满足约束条件时，目标函数z 2y2x4 取文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU

48、6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10

49、A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6

50、HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J3O5R5 ZE4F9Y9X8J4文档编码:CU6Z1B10A10M6 HI1S4J