2015版高中数学(北师大版_必修5)配套练习：3.4简单线性规划第2课时.pdf

1/12 封面2/12 作者：PanHongliang 仅供个人学习第三章 4 第 2 课时一、选择题文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B33/12 1(2014 新课标)设 x，y 满足约束条件xy70 x3y 103xy 50，则 z2xy 的最大值为()A10B8 C3D2 答案 B 解读 本题考查在约束条件下的简单目标函数的最值问题画出区域，可知区域为三角形，经比较斜率，可知目标函数z2xy 在两条直线x 3y10 与 xy7 0的交点(5,2)处，取得最大值z8.故选 B2不等式组x0 x3y43xy4，所表示的平面区域的面积等于()A32B23C43D34答案 C 解读 不等式组表示的平面区域如图所示，由x3y43xy4，得点 A 的坐标为(1,1)又 B、C 两点坐标分别为(0,4)、0，43，SABC12 443143.3(2014 新课标文，11)设 x，y 满足约束条件x ya，x y 1，且 zx ay 的最小值为7，则 a()A 5B3 C 5 或 3D5 或 3 答案 A 解读 本题考查含字母的线性规划问题文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B34/12 由xyaxy 1得交点(a12，a 12)，zx ay 的最小值为7，7xay，代入点(a12，a12)得 a 5 或 3.当 a 5 时，zx5y 的最大值为7，a5.a3.确定交点(a12，a12)是最优点是解题的关键4设变量 x、y 满足约束条件x1，xy4 0，x3y40，则目标函数z3xy 的最大值为()A 4B0 C43D4 答案 D 解读 本题考查了利用线性规划求最值，线性规划问题首先作出可行域，若为封闭区域，则区域端点的值为目标函数的最值，求出交点坐标代入目标函数即可由x1，xy40，x3y 40，作出可行域如图：当直线 z3xy 过点 A(2,2)点时 z 有最大值z最大值3224.5(2014 新课标理，9)不等式组xy1x2y4的解集记为D有下面四个命题：p1：?(x，y)D，x 2y 2，p2：?(x，y)D，x 2y2，p3：?(x，y)D，x 2y3，p4：?(x，y)D，x2y 1.其中真命题是()文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B35/12 Ap2，p3Bp1，p4Cp1，p2Dp1，p3答案 B 解读 本题考查线性规划和逻辑的知识不等式组xy1x2y 4表示的平面区域如图所示可以验证选项P1，P2正确，所以选B6若不等式组x0 x3y43xy4所表示的平面区域被直线ykx43分为面积相等的两部分，则 k 的值是()A73B37C43D34答案 A 解读 不等式组表示的平面区域如图所示由于直线 ykx43过定点(0，43)因此只有直线过AB 中点时，直线ykx43能平分平面区域因为A(1,1)，B(0,4)，所以 AB 中点 M(12，52)当 ykx43过点(12，52)时，52k243，k73.二、填空题7(2014 全国大纲理，14)设 x、y 满足约束条件x y0，x 2y3，x2y1，则 zx 4y 的最大值为_答案 5 解读 本题考查了线性规划知识作出目标函数的可行域，从中可以看出当直线x文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B36/12 4y z经过点 A(1,1)时目标函数有最大值是5.注意，若 y 的系数是负数时，目标函数在y 轴上的截距的最大值是目标函数的最小值8(2013 湖南文)若变量 x、y 满足约束条件x2y8，0 x4，0y3，则 x y的最大值为 _答案 6 解读 本题考查的题线性规则中最优解问题设 zxy，则 y xz，z表示直线在y 轴上的截距，画出可行域(如图)，平移直线l：xy0 到 l0过点 A(4,2)时，zmax6.平移直线 l 时不要找错最优解三、解答题9设 x、y 满足约束条件x4y 33x5y25x1，分别求：(1)z6x10y 的最大值、最小值；(2)z2xy 的最大值、最小值；(3)z2xy(x，y 均为整数)的最大值、最小值解读(1)先作出可行域，如图所示中 ABC 表示的区域，且求得 A(5,2)、B(1,1)、C(1，225)作出直线l0：6x10y0，再将直线l0平移，当l0的平行线l1过 B 点时，可使z 6x10y 达到最小值，当l0的平行线l2过 A 点时，可使z6x 10y 达到最大值 zmin61101 16；zmax6510250.(2)同上，作出直线l0：2xy0，再将直线l0平移，当 l0的平行线l1过 C 点时，可使z2xy 达到最小值，当l0的平行线l2过 A 点时，可使z 2xy 达到最大值.zmax8；zmin125.(3)同上，作出直线l0：2xy0，再将直线l0平移，当l0的平行线l2过 A 点时，可使z2xy 达到最大值，zmax8.当 l0的平行线l1过 C 点时，可使z 2xy 达到最小值，但由文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B37/12 于225不是整数，而最优解(x，y)中，x、y 必须都是整数，所以可行域内的点C(1，225)不是最优解当l0的平行线经过可行域内的整点(1,4)时，可使z2xy 达到最小值 zmin 2.10已知变量x，y 满足约束条件xy20 x1xy70，求yx的最大值和最小值解读 由约束条件作出可行域(如图所示)，A 点坐标为(1,3)，目标函数zyx表示坐标是(x，y)与原点(0,0)连线的斜率由图可知，点A 与 O 连线斜率最大为3；当直线与x 轴重合时，斜率最小为0.故yx的最大值为3，最小值为0.一、选择题1已知平面直角坐标系xOy 上的区域D 由不等式组0 x2y2x2y，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 2B3 2 C4D3 答案 C 解读 本题考查线性规划、数量积的坐标运算 OM OA(x，y)(2，1)2xy，做直线l0：2xy0，将 l0向右上方平移，当l0过区域 D 中点(2，2)时，OM OA2x y 取最大值2224.选 C2(2014 山东理，9)已知 x，y满足约束条件xy10，2x y30，当目标函数 zaxby(a0，b0)在该约束条件下取到最小值2 5时，a2b2的最小值为()A5B4 C5D2 答案 B 解读 本题考查线性规划与点到直线的距离文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B38/12 如图所示xy102xy30 A 点坐标为(2,1)，zaxby 在 A 点处取得最小值2 5，即2ab 2 5.a2b2可看作两点(0,0)(a，b)的距离的平方，原点到直线2ab25的距离的平方是(2 55)2 4.3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B有最大值3，无最小值C有最小值2，最大值3 D既无最小值，也无最大值答案 A 解读 画出不等式组2xy 4xy1x2y 2表示的平面区域，如下图，由z xy，得 y xz，令 z0，画出 y x 的图像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A4(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 文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H9J4B3文档编码:CA8Y8P8M3R6 HW3V1U2Z6X5 ZQ5D3H