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1、1/12 封面2/12 作者：PanHongliang 仅供个人学习第三章 3.3 第 2 课时一、选择题1目标函数z2xy，将其看成直线方程时，z 的意义是()文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7
2、L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V
3、4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z
4、8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7
5、Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M
6、3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E1
7、0Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z83/12 A该直线的截距B该直线的纵截距C该直线的纵截距的相反数D该直线的横截距答案 C 解读 z2x
8、 y可变化形为y2xz，所以 z的意义是该直线在y轴上截距的相反数，故选 C2若 x0，y0，且 x y1，则 zxy的最大值为()A 1B1 C2D 2 答案 B 解读 可行域为图中 AOB，当直线 yxz经过点 B 时，z最小从而z 最大zmax1.3已知 x、y 满足约束条件x y50 x y0 x 3，则 z2x4y 的最小值为()A5B 6 C10D 10 答案 B 解读 可行域为图中 ABC 及其内部的平面区域，当直线yx2z4经过点 B(3，3)时，z最小，zmin 6.4若 x、yR，且x 1x 2y30yx，则 zx2y 的最小值等于()A2B3 C5D9 答案 B 解读 不
9、等式组表示的可行域如图所示：画出直线 l0：x2y0，文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V
10、4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z
11、8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7
12、Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M
13、3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E1
14、0Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8
15、R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z84/12 平行移动 l0到 l 的位置，当 l 通过点 M 时，z 取到最小值此时 M(1,1)，即 zmin3.5设 x、y 满足约束条件2xy 4xy1x2y 2，则目标函数zxy()A有最小值2，无最大值
16、B有最大值3，无最小值C有最小值2，最大值3D既无最小值，也无最大值答案 A 解读 画出不等式组2xy 4xy1x2y2表示的平面区域，如下图，由z xy，得 y xz，令 z0，画出 y x 的图象当它的平行线经过点A(2,0)时，z 取得最小值，最小值为2；无最大值故选A6(2013 四川文，8)若变量 x、y 满足约束条件xy82yx4x0y0，且 z5yx 的最大值为a，最小值为b，则 a b 的值是()A48B30 C24D16 答案 C 解读 本题考查了线性规划中最优解问题作出不等式组表示的平面区域如图作直线 l0：y15x，平移直线l0.当 l0过点 A(4,4)时可得 zmax
17、16，a16.当 l0过点 B(8,0)时可得 zmin 8，b 8.ab16(8)24.二、填空题文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码
18、:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9
19、HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 Z
20、J7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档
21、编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L
22、9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4
23、 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z85/12 7若非负变量x、y 满足约束条件xy 1x2y4，则 xy 的最大值为 _答案 4 解读 本题考查线性规化的最优解问题由题意知 x、y 满足的约束条件x0
24、y0 xy 1x2y4.画出可行域如图所示设 xyt?y xt，t 表示直线在y 轴截距，截距越大，t 越大作直线 l0：xy0，平移直线l0，当 l0经过点 A(4,0)时，t 取最大值4.8 在平面直角坐标系xOy 中，M 为不等式组2x3y60 x y20y 0所表示的区域上一动点，则|OM|的最小值是 _答案 2 解读 本题考查不等式组表示平面区域及点到直线距离问题不等式组所表示平面区域如图，由图可知|OM|的最小值即O 到直线 xy20 的距离故|OM|的最小值为|2|22.三、解答题9求 z3x 5y 的最大值和最小值，使式中的x、y 满足约束条件5x3y 15yx1x5y3.解读
25、 作出可行域为如图所示的阴影部分目标函数为 z3x5y，作直线 l0：3x5y0.当直线 l0向右上平移时，z 随之增大，在可行域内以经过点A(32，文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7
26、G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I
27、8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:
28、CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 H
29、P7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ
30、7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编
31、码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z86/12 52)的直线 l1所对应的z 最大类似地，在可行域内，以经过点B(2，1)的直线 l2所对应的 z最小，
32、zmax17，zmin 11，z的最大值为17，最小值为11.10某工厂生产甲、乙两种产品，其产量分别为45 个与 55 个，所用原料为A、B 两种规格金属板，每张面积分别为2m2与 3m2.用 A 种规格金属板可造甲种产品3 个，乙种产品5个；用 B 种规格金属板可造甲、乙两种产品各6 个问 A、B 两种规格金属板各取多少张，才能完成计划，并使总的用料面积最省？解读 设 A、B 两种金属板分别取x 张、y 张，用料面积为z，则约束条件为3x6y455x6y55x 0y 0.目标函数 z2x3y.作出以上不等式组所表示的平面区域(即可行域)，如图所示z2x3y 变为 y23xz3，得斜率为23
33、，在 y 轴上截距为z3且随 z 变化的一族平行直线当直线 z2x3y 过可行域上点M 时，截距最小，z 最小解方程组5x6y553x6y45，得 M 点的坐标为(5,5)此时 zmin2 53525(m2)答：当两种金属板各取5 张时，用料面积最省.一、选择题1若变量x、y 满足2xy 40 x2y 50 x0y0，则 z3x2y 的最大值是()A90B80 C70D40 文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4
34、ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文
35、档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7
36、L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V
37、4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z
38、8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7
39、Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M
40、3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z87/12 答案 C 解读 作出可行域如图所示解方程组2xy40 x 2y50，得x10y20.zmax31022070.2设变量x、y 满足约束条件x2y50 xy 20 x0，则目标函数z 2x3y1 的最大值为()A11B10 C9D8.5 答案 B 解读 作出不等式组x2y 50 xy2 0 x0表示的可行域，如下图的阴影部分所示又 z 2x3y1 可化为 y23xz313，结合图形可知z2x 3y1 在点 A 处取得最大值由x2y50 xy20，得x3y1.故 A 点坐标为
41、(3,1)此时 z2331 110.3不等式组y2x0 x2y305x3y50表示的平面区域内的整点个数为()A2B3 C4D5 答案 B 文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M
42、3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E1
43、0Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8
44、R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K
45、9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1
46、E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8
47、P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z88/12 解读 不等式 y2x0 表示直线y2x0 的右下方区域(含边界)，x2y30 表示直线 x2y3 0 右上方区域(
48、不含边界)，5x3y50 表示直线5x3y50 左下方区域，所以不等式组表示的平面区域是上述三区域的公共部分，即如图所示的ABC 区域可求得 A(35，65)、B(511，1011)、C(197，207)，所以ABC 区域内的点(x，y)满足35x197，207y1011.x、y Z，0 x2，2 y0，且 x、y Z.经检验，共有三个整点(0,0)，(1，1)，(2，2)4已知变量x、y 满足约束条件xy1xy1x1 0，则 z x2y 的最小值为()A3B1 C 5D 6 答案 C 解读 本题考查二元一次不等式组表示的平面区域，线性目标函数最值由xy1xy1x10画出可行域如图令 z 0画
49、出 l0：x2y0，平移 l0至其过 A 点时 z 最小，由x10 xy1，得 A(1，2)，zmin 12(2)5.二、填空题5在 ABC 中，三个顶点分别为A(2,4)、B(1,2)、C(1,0)，点 P(x，y)在 ABC 的内部及其边界上运动，则yx 的取值范围为 _答案 1,3解读 画出三角形区域如图，易知kAB231，文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R
50、7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9M3V4 ZJ7I8O1E10Z8文档编码:CC8P8R7Y7L9 HP7G2K9
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