matlab绘图--线性规划图解法示意

matlab绘图--线性规划图解法示意

图解法

matlab绘图

区域填充

线性规划问题：

matlab绘图

1. L1=[4,0;4,4]; 
   

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2. plot(L1(:,1),L1(:,2));hold on 
   

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3. text(4.1,3.5,'x_1=4','color','b'); 
   

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4. L2=[0 3;5 3]; 
   

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5. plot(L2(:,1),L2(:,2));hold on 
   

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6. text(0.8,3.1,'x_2=3','color','b'); 
   

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7. L3=[0 2.4;5 0.4]; 
   

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8. plot(L3(:,1),L3(:,2));hold on 
   

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9. text(1,1.5,'2x_1+5x_2=12','color','b') 
   

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10. L4=[0,4;4,2]; 
    

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11. plot(L4(:,1),L4(:,2)); 
    

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12. text(3,2.5,'x_1+2x_2=8','color','b') 
    

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13. x=[0 0 2 4 4]'; 
    

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14. y=[2.4 3,3,2,0.8]'; 
    

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15. fill(x,y,'r'); 
    

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16. xlabel('x_1') 
    

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17. ylabel('x_2') 
    

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18. axis([0 5.3 -0.2 4]) 
    

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19. z0=[0,2.4;4.8,0]; 
    

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20. plot(z0(:,1),z0(:,2),'k--','LineWidth',2); 
    

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21. text(4.5,0.3,'z=4.8') 
    

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22. z1=[0,2.8;4.6,0.5]; 
    

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23. plot(z1(:,1),z1(:,2),'k--','Linewidth',2); 
    

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24. text(4.6,0.5,'z=5.6') 
    

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25. z2=[0,3;4.6,0.7]; 
    

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26. plot(z2(:,1),z2(:,2),'k--','Linewidth',2); 
    

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27. text(4.6,0.7,'z=6') 
    

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28. z3=[0.6,3.7;4.6,1.7]; 
    

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29. plot(z3(:,1),z3(:,2),'g--','Linewidth',2); 
    

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30. text(4.6,1.7,'z=8') 
    

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31. text(4,2,'A_2','color','r','fontsize',20); 
    

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32. text(2,3,'A_1','color','r','fontsize',20); 
    

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结果图