作业帮这个方程在matlab中怎么解
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/22 16:45:32
这个方程在matlab中怎么解
atan((((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*cos(w)+15*(1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*sin(w)+((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*cos(w))/((1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*cos(w)-((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*sin(w))^2+(1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*sin(w)+((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*cos(w))^2)^(1/2))/(((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*sin(w)+15*(-1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*cos(w)+((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*sin(w))/((1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*cos(w)-((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*sin(w))^2+(1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*sin(w)+((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*cos(w))^2)^(1/2)))-1/18*pi=0
就一个未知数W
atan((((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*cos(w)+15*(1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*sin(w)+((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*cos(w))/((1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*cos(w)-((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*sin(w))^2+(1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*sin(w)+((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*cos(w))^2)^(1/2))/(((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*sin(w)+15*(-1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*cos(w)+((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*sin(w))/((1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*cos(w)-((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*sin(w))^2+(1/2/((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*((300*cos(9*w)-12*cos(27*w))*(-1350*sin(9*w)+162*sin(27*w))+(300*sin(9*w)-12*sin(27*w))*(1350*cos(9*w)-162*cos(27*w)))*sin(w)+((150*cos(9*w)-6*cos(27*w))^2+(150*sin(9*w)-6*sin(27*w))^2)^(1/2)*cos(w))^2)^(1/2)))-1/18*pi=0
就一个未知数W
如果只是为了 求数值解的话 画图就可以了
用我这个：
w=linspace(-2*pi,2*pi,10000);
y=atan((((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*cos(w)+15.*(1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*sin(w)+((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*cos(w))./((1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*cos(w)-((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*sin(w)).^2+(1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*sin(w)+((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*cos(w)).^2).^(1./2))./(((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*sin(w)+15.*(-1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*cos(w)+((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*sin(w))./((1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*cos(w)-((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*sin(w)).^2+(1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*sin(w)+((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*cos(w)).^2).^(1./2)))-1./18.*pi;
plot(w,y)
再问： 我一画就卡，你画一下，我看看，谢谢
再答： 由图一看出：周期为π由图二看出：3个解由图三看出：3个解
再答： 由图一看出：周期为π由图二看出：3个解由图三看出：3个解
再问： 你的点乘是一个一个加上去的么
再答： 精确到多少位？
再问： 小数点后5位吧，我问你 点乘的点你是一个一个加上去的么
用我这个：
w=linspace(-2*pi,2*pi,10000);
y=atan((((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*cos(w)+15.*(1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*sin(w)+((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*cos(w))./((1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*cos(w)-((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*sin(w)).^2+(1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*sin(w)+((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*cos(w)).^2).^(1./2))./(((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*sin(w)+15.*(-1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*cos(w)+((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*sin(w))./((1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*cos(w)-((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*sin(w)).^2+(1./2./((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*((300.*cos(9.*w)-12.*cos(27.*w)).*(-1350.*sin(9.*w)+162.*sin(27.*w))+(300.*sin(9.*w)-12.*sin(27.*w)).*(1350.*cos(9.*w)-162.*cos(27.*w))).*sin(w)+((150.*cos(9.*w)-6.*cos(27.*w)).^2+(150.*sin(9.*w)-6.*sin(27.*w)).^2).^(1./2).*cos(w)).^2).^(1./2)))-1./18.*pi;
plot(w,y)
再问： 我一画就卡，你画一下，我看看，谢谢
再答： 由图一看出：周期为π由图二看出：3个解由图三看出：3个解
再答： 由图一看出：周期为π由图二看出：3个解由图三看出：3个解
再问： 你的点乘是一个一个加上去的么
再答： 精确到多少位？
再问： 小数点后5位吧，我问你 点乘的点你是一个一个加上去的么