数学建模案例MATLAB实用程序百例.docx
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实例1:
三角函数曲线
(1)functionshili01h0=figure('toolbar','none',...
'position',[19856350300],...
'name','实例01');
h1=axes('parent',h0,...
'visible','off');
x=-pi:
0.05:
pi;y=sin(x);
plot(x,y);
xlabel('自变量X');
ylabel('函数值Y');
title('SIN()函数曲线');gridon
实例2:
三角函数曲线
(2)functionshili02h0=figure('toolbar','none',...
'position',[200150450350],...
'name','实例02');
x=-pi:
0.05:
pi;
y=sin(x)+cos(x);
plot(x,y,'-*r','linewidth',1);gridon
xlabel('自变量X');
ylabel('函数值Y');
title('三角函数');
实例3:
图形的叠加functionshili03
h0=figure('toolbar','none',...
'position',[200150450350],...
'name','实例03');
x=-pi:
0.05:
pi;y1=sin(x);y2=cos(x);plot(x,y1,...
'-*r',...
x,y2,...
'--og');
gridonxlabel('自变量X');
ylabel('函数值Y');
title('三角函数');
实例4:
双y轴图形的绘制functionshili04h0=figure('toolbar','none',...
'position',[200150450250],...
'name','实例04');x=0:
900;a=1000;b=0.005;
y1=2*x;y2=cos(b*x);
[haxes,hline1,hline2]=plotyy(x,y1,x,y2,'semilogy','plot');axes(haxes
(1))
ylabel('semilogplot');
axes(haxes
(2))ylabel('linearplot');
实例5:
单个轴窗口显示多个图形functionshili05h0=figure('toolbar','none',...
'position',[200150450250],...
'name','实例05');t=0:
pi/10:
2*pi;[x,y]=meshgrid(t);subplot(2,2,1)plot(sin(t),cos(t))axisequalsubplot(2,2,2)z=sin(x)-cos(y);plot(t,z)
axis([02*pi-22])subplot(2,2,3)h=sin(x)+cos(y);plot(t,h)
axis([02*pi-22])subplot(2,2,4)g=(sin(x).^2)-(cos(y).^2);plot(t,g)
axis([02*pi-11])
实例6:
图形标注functionshili06
h0=figure('toolbar','none',...
'position',[200150450400],...
'name','实例06');t=0:
pi/10:
2*pi;h=plot(t,sin(t));
xlabel('t=0到2\pi','fontsize',16);ylabel('sin(t)','fontsize',16);
title('\it{从0to2\pi的正弦曲线}','fontsize',16)x=get(h,'xdata');
y=get(h,'ydata');imin=find(min(y)==y);imax=find(max(y)==y);text(x(imin),y(imin),...
['\leftarrow最小值=',num2str(y(imin))],...'fontsize',16)
text(x(imax),y(imax),...
['\leftarrow最大值=',num2str(y(imax))],...'fontsize',16)
实例7:
条形图形functionshili07
h0=figure('toolbar','none',...
'position',[200150450350],...
'name','实例07');
tiao1=[56254822454541445745512];
tiao2=[4748575854526548];t=0:
7;
bar(t,tiao1)xlabel('X轴');ylabel('TIAO1值');
h1=gca;h2=axes('position',get(h1,'position'));plot(t,tiao2,'linewidth',3)
set(h2,'yaxislocation','right','color','none','xticklabel',[])
实例8:
区域图形functionshili08
h0=figure('toolbar','none',...
'position',[200150450250],...
'name','实例08');x=91:
95;
profits1=[88 75 84 93 77];
profits2=[51 64 54 56 68];
profits3=[42 54 34 25 24];
profits4=[26 38 18 15 4];
area(x,profits1,'facecolor',[0.50.90.6],...'edgecolor','b',...
'linewidth',3)holdon
area(x,profits2,'facecolor',[0.90.850.7],...'edgecolor','y',...
'linewidth',3)holdon
area(x,profits3,'facecolor',[0.30.60.7],...'edgecolor','r',...
'linewidth',3)holdon
area(x,profits4,'facecolor',[0.60.50.9],...'edgecolor','m',...
'linewidth',3)holdoff
set(gca,'xtick',[91:
95])
set(gca,'layer','top')gtext('\leftarrow第一季度销量')gtext('\leftarrow第二季度销量')gtext('\leftarrow第三季度销量')gtext('\leftarrow第四季度销量')xlabel('年','fontsize',16);
ylabel('销售量','fontsize',16);
实例9:
饼图的绘制functionshili09
h0=figure('toolbar','none',...
'position',[200150450250],...
'name','实例09');t=[542135;
68 54 35;
45 25 12;
48 68 45;
68 54 69];
x=sum(t);
h=pie(x);textobjs=findobj(h,'type','text');str1=get(textobjs,{'string'});val1=get(textobjs,{'extent'});oldext=cat(1,val1{:
});names={'商品一:
';'商品二:
';'商品三:
'};str2=strcat(names,str1);
set(textobjs,{'string'},str2)val2=get(textobjs,{'extent'});newext=cat(1,val2{:
});
offset=sign(oldext(:
1)).*(newext(:
3)-oldext(:
3))/2;pos=get(textobjs,{'position'});
textpos=cat(1,pos{:
});textpos(:
1)=textpos(:
1)+offset;set(textobjs,{'position'},num2cell(textpos,[3,2]))
实例10:
阶梯图functionshili10
h0=figure('toolbar','none',...
'position',[200150450400],...
'name','实例10');a=0.01;
b=0.5;t=0:
10;
f=exp(-a*t).*sin(b*t);stairs(t,f)
holdonplot(t,f,':
*')holdoff
glabel='函数e^{-(\alpha*t)}sin\beta*t的阶梯图';gtext(glabel,'fontsize',16)xlabel('t=0:
10','fontsize',16)
axis([010-1.21.2])
实例11:
枝干图functionshili11
h0=figure('toolbar','none',...
'position',[200150450350],...
'name','实例11');x=0:
pi/20:
2*pi;y1=sin(x);
y2=cos(x);h1=stem(x,y1+y2);holdon
h2=plot(x,y1,'^r',x,y2,'*g');holdoff
h3=[h1
(1);h2];
legend(h3,'y1+y2','y1=sin(x)','y2=cos(x)')xlabel('自变量X');
ylabel('函数值Y');title('正弦函数与余弦函数的线性组合');
实例12:
罗盘图functionshili12
h0=figure('toolbar','none',...
'position',[200150450250],...
'name','实例12');winddirection=[54246584
2561223562
12532434254];
windpower=[2553
68127
614108];
rdirection=winddirection*pi/180;[x,y]=pol2cart(rdirection,windpower);compass(x,y);
desc={'风向和风力','北京气象台','10月1日0:
00到','10月1日12:
00'};
gtext(desc)
实例13:
轮廓图functionshili13
h0=figure('toolbar','none',...
'position',[200150450250],...
'name','实例13');