1、MATLAB期末上机考试试题带答案版姓名：学号：成绩：1.请实现下图：50 100 150 200 250-1-0.8-0.6-0.4-0.200.20.40.60.81xyy=sin(x)x=linspace(0,8*pi,250);y=sin(x);plot(x,y)area(y,-1)xlabel(x)ylabel(y)title(y=sin(x)2.请实现下图：x=linspace(0,2*pi,100);y1=sin(x);subplot(2,2,1)plot(x,y1,k-)gridonxlabel(x)ylabel(y)title(sin(x)legend(y=sin(x)y2=
2、cos(x);subplot(2,2,2)plot(x,y2,r-)gridonxlabel(x)ylabel(y)title(cos(x)legend(y=cos(x)y3=tan(x);subplot(2,2,3)plot(x,y3,k-)gridonxlabel(x)ylabel(y)title(tan(x)legend(y=tan(x)y4=cot(x);subplot(2,2,4)plot(x,y4)gridonxlabel(x)ylabel(y)title(cot(x)legend(y=cot(x)3.解方程组：a=3 21;1-13;24-4；b=7;6;-2；x=ab4.请实现
3、下图：0 2 4 6 8 10 12 14-1-0.8-0.6-0.4-0.200.20.40.60.81xy自己的姓名sin(x)sin(2*x)x=linspace(0,4*pi,1000);y1=sin(x);y2=sin(2*x);plot(x,y1,-,x,y2,b*)gridonxlabel(x);ylabel(y);title(耿蒙蒙)legend(sin(x),sin(2*x)5.请在x，y在（-2，2）内的z=xexp(-x2-y2)绘制网格图x,y=meshgrid(-2:0.1:2);z=x.*exp(-x.2-y.2);mesh(x,y,z)6.请实现peaks函数：-
4、3 -2-1 01 23-202-505xPeaksyx,y=meshgrid(-3:1/8:3);z=peaks(x,y);mesh(x,y,z)surf(x,y,z)shading flataxis(-33-33-8 8)xlabel(x);ylabel(y);title(Peaks)7.请在x=0,2,y=-0.5*pi,7.5*pi,绘制光栅的振幅为0.4的三维正弦光栅。x=0:0.1:2;y=-0.5*pi:0.01*pi:7.5*pi;x,y=meshgrid(x,y)z=sin(y);mesh(x,y,z)surf(x,y,z)shading flataxis(02 -0.5*p
5、i 7.5*pi -66)8.请用ezplot函数绘制sin（x2），x的区间为0到8*pi。ezplot(x,sin(x2),0,8*pi)9.样本点;x=0 0.25*pi 0.5*pi 0.75*pi pi 1.25*pi 1.5*pi 1.75*pi 2*pi;y=0 0.5*2.0.5 1 0.5*2.0.5 0 -0.5*2.0.5 -1 -0.5*2.0.5 0;对样本点进行spline插值。并将样本点和插值后的数据进行绘图。x0=0 0.25*pi 0.5*pi 0.75*pi pi 1.25*pi 1.5*pi 1.75*pi 2*pi;y0=0 0.5*2.0.5 1 0.
6、5*2.0.5 0 -0.5*2.0.5 -1 -0.5*2.0.5 0;plot(x0,y0,o)holdonx=0:0.01:2*pi;y=interp1(x0,y0,x,spline)plot(x,y)10.请实现下图：利用多项式求根方法求解x3-x2-3=0。y=1 -10-3;r=roots(y)11.A=2i+5j+7kB=8i+4j+6k求C=ABA=257;B=846;C=conv(A,B)12.A=2i+5j+7kB=8i+4j+6k求C=ABA=257;B=846;C=A*B13.用不同标度在同一坐标内绘制曲线y1=e-0.3xcos(2x)及曲线y2=10e-1.5x。x
7、=0:pi/180:2*pi;y1=exp(-0.3*x).*cos(2*x);y2=10*exp(-1.5*x);plotyy(x,y1,x,y2)14.请实现下图：200 400 600 800 1000 1200 1400-1-0.8-0.6-0.4-0.200.20.40.60.81x=linspace(0,8*pi,1400);y=sin(x);plot(x,y)area(y,0)15.n=dblquad(exp(-(x.2)/2).*sin(x.2+y),-1,1,-2,2)16.请实现: t=0:0.1:10*pi,x=tcos(t),y=tsin(t),z=t,三维曲线。ezp
8、lot3(t.*cos(t),t.*sin(t),t,0,10*pi)17.a=1 6116;r=roots(a)poly(r)18.syms xf=5*x3+6*x2+3*x+9;diff(f,x,1)19.已知样本点x=-2.8-10.22.15.26.8;y=3.14.62.31.22.3-1.1;求其三次拟合，并绘出样本点和拟合图像。x=-2.8-10.2 2.1 5.2 6.8;y=3.1 4.6 2.3 1.2 2.3 -1.1;plot(x,y,o)holdonp=polyfit(x,y,3)x0=-3:0.01:7;y0=polyval(p,x0)plot(x0,y0,r-)2
9、0.构建内联函数y=sin(x)exp(x2);并求出x=14258的y值。y=inline(sin(x).*exp(x.2);xi=142 58;yi=y(xi)21.请实现从距离地面20米高处，以水平速度5m/s跳下的实际运动轨迹。解：212h gt，0x v t，得2202gh xv，即20.2h x（0x10m）x=0:0.1:10;h=-0.2*x.2;plot(x,h,-)gridonxlabel(x/m);ylabel(h/m);title()22.请绘出斜抛运动的实际轨迹。初速度为10m/s，与地面的夹角为300。解：2 012 yh gt v t , 0xx v t ,得21
10、 115 3h x x x=0:0.1:13;h=-15(-1)*x.2-3(-1/2)*x;plot(x,h)gridonxlabel(x/m);ylabel(h/m);title()23.请求出df(x)/dx=ax3+x2-bx-csyms xabcf=a*x3+x2-b*x-c;diff(f,x,1)24.x,y=meshgrid(-3:0.1:3);z=1./(x+1).2+(y+1).2+1)-1./(x-1).2+(y-1).2+1);mesh(x,y,z)25.x=-10:0.01:10subplot(1,2,1)plot(x,sin(2*x).*cos(3*x)xlabel(
11、x);ylabel(y);title(sin(2x)cos(3x)subplot(1,2,2)plot(x,0.4*x)xlabel(x);ylabel(y);title(0.4x)26.x=0:0.01:25;y1=2.6*exp(-0.5*x).*cos(0.6*x)+0.8;y2=1.6*cos(3*x)+sin(x);plot(x,y1,b-,x,y2,r-)legend(y1=2.6exp(-0.5x)cos(0.6x)+0.8,y2=1.6cos(3x)+sin(x)gridon27.y=int(sin(x)+2,x,0,pi/6)28.solve(sin(x)+tan(x)+1=
12、0,x)29.symsxy=dsolve(Dy=(x+y)*(x-y),x)30.解：插值法拟合法31.请用三种方法求解sin(x)在0pi之间的积分。1：a=quad(sin(x),0,pi)2：x=linspace(0,pi,1000);y=sin(x);a=trapz(x,y)3：y=int(sin(x),x,0,pi)32.x,y=meshgrid(-2:0.1:2);z=x.2.*exp(-x.2-y.2);mesh(x,y,z)surf(x,y,z)33. 22 yxxez ，当x和y的取值范围均为-2到2时，用建立子窗口的方法在同一个图形窗口中绘制出网线图、表面图和去网格效果的表
13、面图。x,y=meshgrid(-2:0.1:2);z=x.*exp(-x.2-y.2);subplot(1,3,1)mesh(x,y,z)subplot(1,3,2)surf(x,y,z)subplot(1,3,3)surf(x,y,z)shading flat34.有一组测量数据满足-atey，t的变化范围为010，用不同的线型和标记点画出a=0.1、a=0.2和a=0.5三种情况下的曲线。t=0:1:10;y1=exp(-0.1*t);y2=exp(-0.2*t);y3=exp(-0.5*t);plot(t,y1,b-o,t,y2,r-*,t,y3,g-)35.有一正弦衰减数据y=sin
14、(x).*exp(-x/10)，其中x=0:pi/5:4*pi，用三次样条法进行插值。x=0:pi/180:4*pi;y=sin(x).*exp(-x/10);xi=0:pi/5:4*pi;yi=interp1(x,y,xi,cubic)plot(x,y,b-,xi,yi,ro)36.求解多项式x3-7x2+2x+40的根。a=1 -7240;r=roots(a)37.对于BAX ，如果 753 467 294A， 282637B，求解X。a=4 92;764;357;b=37;26;28;x=ab38.请建立隐函数，y=x2exp(x),并求出x=789时的函数值。并将函数绘图y=inline(x.2.*exp(x);xi=789;yi=y(xi)39.在-10,10,-10,10的范围内会三维图2 22 2sin x yz x y x,y=meshgrid(-10:0.1:10);z=sin(x.2+y.2).(1/2)./(x.2+y.2).(1/2);surf(x,y,z)shading flat40.请绘制以20m/s速度竖直上抛运动的位移图像。解：2 012h gt v t 2 201 5 202h gt v t t t t=0:0.1:10;h=-5*t.2+20.*t;plot(t,h)gridonxlabel(t/s);ylabel(h/m);title()
