MATLAB期末上機試題帶答案

1、MATLAB期末上機考試試題帶答案版姓名： 學號： 成績： 1.請實現(xiàn)下圖：x=linspace(0,8*pi,250);y=sin(x);plot(x,y)area(y,-1)xlabel('x')ylabel('y')title('y=sin(x)')2.請實現(xiàn)下圖： x=linspace(0,2*pi,100);y1=sin(x);subplot(2,2,1)plot(x,y1,'k-')grid onxlabel('x')ylabel('y')title('sin(x)')l

2、egend('y=sin(x)')y2=cos(x);subplot(2,2,2)plot(x,y2,'r-')grid onxlabel('x')ylabel('y')title('cos(x)')legend('y=cos(x)')y3=tan(x);subplot(2,2,3)plot(x,y3,'k-')grid onxlabel('x')ylabel('y')title('tan(x)')legend('y=tan(x

3、)')y4=cot(x);subplot(2,2,4)plot(x,y4)grid onxlabel('x')ylabel('y')title('cot(x)')legend('y=cot(x)')3.解方程組：a=3 2 1;1 -1 3;2 4 -4；b=7;6;-2 ；x=ab4.請實現(xiàn)下圖：x=linspace(0,4*pi,1000);y1=sin(x);y2=sin(2*x);plot(x,y1,'-',x,y2,'b*')grid onxlabel('x');y

4、label('y');title('耿蒙蒙')legend('sin(x)','sin(2*x)')5.請在x，y在（-2，2）內的z=xexp (-x2-y2) 繪制網(wǎng)格圖x,y=meshgrid(-2:0.1:2);z=x.*exp (-x.2-y.2);mesh(x,y,z)6.請實現(xiàn)peaks函數(shù)：x,y=meshgrid(-3:1/8:3);z=peaks(x,y);mesh(x,y,z)surf(x,y,z)shading flataxis(-3 3 -3 3 -8 8)xlabel('x');ylab

5、el('y');title('Peaks')7.請在x=0,2,y=-0.5*pi,7.5*pi,繪制光柵的振幅為0.4的三維正弦光柵。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(0 2 -0.5*pi 7.5*pi -6 6)8.請用ezplot函數(shù)繪制sin（x2），x的區(qū)間為0到8*pi。ezplot('x','sin(x2)',0,8*pi)9.樣本點; x=0 0.2

6、5*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; 對樣本點進行spline插值。并將樣本點和插值后的數(shù)據(jù)進行繪圖。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 0.5*2.0.5 0 -0.5*2.0.5 -1 -0.5*2.0.5 0;plot(x0,y0,'o')hold onx=0:0.01:2*pi;y=

7、interp1(x0,y0,x,'spline')plot(x,y)10.請實現(xiàn)下圖：利用多項式求根方法求解x3-x2-3=0。y=1 -1 0 -3;r=roots(y)11. A = 2 i + 5 j + 7 k B = 8 i + 4j + 6 k 求C=A×BA=2 5 7;B=8 4 6;C=conv(A,B)12. A = 2 i + 5 j + 7 k B = 8 i + 4j + 6 k 求C=AB A=2 5 7;B=8 4 6;C=A*B'13. 用不同標度在同一坐標內繪制曲線y1=e-0.3xcos(2x)及曲線y2=10e-1.5x。

8、x=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.請實現(xiàn)下圖：x=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.請實現(xiàn): t=0:0.1:10*pi,x=tcos(t),y=tsin(t),z=t,三維曲線。ezplot3('t.*cos(t)','t.*sin(t)','

9、t',0,10*pi)17. a=1 6 11 6;r=roots(a)poly(r)18. syms x f=5*x3+6*x2+3*x+9;diff(f,x,1)19. 已知樣本點x=-2.8 -1 0.2 2.1 5.2 6.8; y=3.1 4.6 2.3 1.2 2.3 -1.1;求其三次擬合，并繪出樣本點和擬合圖像。x=-2.8 -1 0.2 2.1 5.2 6.8; y=3.1 4.6 2.3 1.2 2.3 -1.1;plot(x,y,'o')hold onp=polyfit(x,y,3)x0=-3:0.01:7;y0=polyval(p,x0)plot

10、(x0,y0,'r-')20.構建內聯(lián)函數(shù)y=sin(x)exp(x2);并求出x=1 4 2 5 8的y值。y=inline('sin(x).*exp(x.2)');xi= 1 4 2 5 8;yi=y(xi)21.請實現(xiàn)從距離地面20米高處，以水平速度5m/s跳下的實際運動軌跡。解：，得，即（0<x<10m）x=0:0.1:10;h=-0.2*x.2;plot(x,h,'-')grid onxlabel('x/m');ylabel('h/m');title('ƽ

11、7;×Ô˶¯')22.請繪出斜拋運動的實際軌跡。 初速度為10m/s，與地面的夾角為300。解：,得x=0:0.1:13;h=-15(-1)*x.2-3(-1/2)*x;plot(x,h)grid onxlabel('x/m');ylabel('h/m');title('бÅ×Ô˶¯')23.請求出df(x)/dx=ax3+x2-bx-csyms x a b cf=a*x3+x2-b*x-c;diff(f

12、,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('x');ylabel('y');title('sin(2x)cos(3x)')subplot(1,2,2)plot(x,0.4*x)xlabel('x');ylabel('y');title('0.4x&#

13、39;)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)')grid on27. y=int(sin(x)+2,x,0,pi/6)28.solve('sin(x)+tan(x)+1=0','x')29.syms x y=dsolve(

14、'Dy=(x+y)*(x-y)','x')30.解：插值法擬合法31. 請用三種方法求解sin(x)在0pi之間的積分。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. ，當x和y的取值范圍均為-2到2時，用建立子窗口的方法在同一個圖形窗口中繪制出網(wǎng)線圖、表面圖和去網(wǎng)格效果

15、的表面圖。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. 有一組測量數(shù)據(jù)滿足，t的變化范圍為010，用不同的線型和標記點畫出a=0.1、a=0.2和a=0.5三種情況下的曲線。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,&

16、#39;g-')35. 有一正弦衰減數(shù)據(jù)y=sin(x).*exp(-x/10)，其中x=0:pi/5:4*pi，用三次樣條法進行插值。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. 求解多項式x3-7x2+2x+40的根。a=1 -7 2 40;r=roots(a)37. 對于，如果，求解X。a=4 9 2;7 6 4;3 5 7;b=37;26;28;x=ab38. 請建立隱函數(shù)，y=x2exp(x),并求出x=7 8 9時的函數(shù)值。并將函數(shù)繪圖y=inline('x.2.*exp(x)');xi=7 8 9;yi=y(xi)39. 在-10,10,-10,10的范圍內會三維圖x,y=meshgrid(-10:0.1:10);z=sin