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数学实验必做题3选做1.doc
必做
1在MATLAB软件中做出曲面z=f(x,y)的图形。并把源程序和图形复制粘贴到答卷中。
,
[x,y]=meshgrid(2:0.1:6);
z=(log10(x)*log10(y))/(log10(x)+log10(y));
meshc(x,y,z)
2、在市场经济中存在这样的循环现象:若去年的猪肉生产量供过于求,猪肉的价格就会降低;价格降低会使今年养猪者减少,使今年猪肉生产量供不应求,于是肉价上扬;价格上扬又使明年猪肉产量增加,造成新的供过于求…据统计,某城市2003年的猪肉产量为45万吨,肉价为7.00元/公斤.2004年生产猪肉39万吨,肉价为9.00元/公斤.已知2005年的猪肉产量为42万吨,若维持目前的消费水平与生产模式,并假定猪肉产量与价格之间是线性关系,问若干年以后猪肉的生产量与价格是否会趋于稳定?若能够稳定,请求出稳定的生产量和价格[a,b]=solve(7=45*a+b,9=39*a+b);
[c,d]=solve(39=7*c+d,42=9*c+d);
x=42;
for n=2005:2050
y=a*x+b;x=c*y+d;
fprintf(%g,%8.6f,%8.6f\n,n,eval(y),eval(x));
fprintf(%g,%8.6f,%8.6f\n,n,eval(y),eval(x));
end
2005,8.000000,40.500000
2005,8.000000,40.500000
2006,8.500000,41.250000
2006,8.500000,41.250000
2007,8.250000,40.875000
2007,8.250000,40.875000
2008,8.375000,41.062500
2008,8.375000,41.062500
2009,8.312500,40.968750
2009,8.312500,40.968750
2010,8.343750,41.015625
2010,8.343750,41.015625
2011,8.328125,40.992188
2011,8.328125,40.992188
2012,8.335938,41.003906
2012,8.335938,41.003906
2013,8.332031,40.998047
2013,8.332031,40.998047
2014,8.333984,41.000977
2014,8.333984,41.000977
2015,8.333008,40.999512
2015,8.333008,40.999512
2016,8.333496,41.000244
2016,8.333496,41.000244
2017,8.333252,40.999878
2017,8.333252,40.999878
2018,8.333374,41.000061
2018,8.333374,41.000061
2019,8.333313,40.999969
2019,8.333313,40.999969
2020,8.333344,41.000015
2020,8.333344,41.000015
2021,8.333328,40.999992
2021,8.333328,40.999992
2022,8.333336,41.000004
2022,8.333336,41.000004
2023,8.333332,40.999998
2023,8.333332,40.999998
2024,8.333334,41.000001
2024,8.333334,41.000001
2025,8.333333,41.000000
2025,8.333333,41.000000
2026,8.333333,41.000000
2026,8.333333,41.000000
2027,8.333333,41.000000
2027,8.333333,41.000000
2028,8.333333,41.000000
2028,8.333333,41.000000
2029,8.333333,41.000000
2029,8.333333,41.000000
2030,8.333333,41.000000
2030,8.333333,41.000000
2031,8.333333,41.000000
2031,8.333333,41.000000
2032,8.333333,41.000000
2032,8.333333,41.000000
2033,8.333333,41.000000
2033,8.333333,41.000000
2034,8.333333,41.000000
2
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