数学
三元二次方程的解,用matlabsyms x y z[x,y,z]=solve('(x-7335)^2+(y-1370)^2+z^2=107160^2','(x-8705)^2+(y-2170)^2+z^2=106450^2','(x-7335)^2+(y-5370)^2+z^2=102480^2');x=subs(x),y=subs(y),z=subs(z)但这样解出来的z是复数,不符合我的实际问题.

2019-05-28

三元二次方程的解,用matlab
syms x y z
[x,y,z]=solve('(x-7335)^2+(y-1370)^2+z^2=107160^2','(x-8705)^2+(y-2170)^2+z^2=106450^2','(x-7335)^2+(y-5370)^2+z^2=102480^2');
x=subs(x),y=subs(y),z=subs(z)
但这样解出来的z是复数,不符合我的实际问题.
优质解答
x1=-226.11;
y1=238.802;
z1=-1577;
x2=223.1317;
y2=201.5533;
z2=-1577;
x3=-277.2719;
y3=-202.0605;
z3=-1577;
与求解方程组:
(t1*x1-t2*x2)^2+(t1*y1-t2*y2)^2+(t1*z1-t2*z2)^2=532.8689^2
(t1*x1-t3*x3)^2+(t1*y1-t3*y3)^2+(t1*z1-t3*z3)^2=532.8689^2
(t3*x3-t2*x2)^2+(t3*y3-t2*y2)^2+(t3*z3-t2*z2)^2=753.5904^2
从中解出t1,t2,t3
只需要解出近似解就可以了,solve解不出来的.
x1=-226.11;
y1=238.802;
z1=-1577;
x2=223.1317;
y2=201.5533;
z2=-1577;
x3=-277.2719;
y3=-202.0605;
z3=-1577;
与求解方程组:
(t1*x1-t2*x2)^2+(t1*y1-t2*y2)^2+(t1*z1-t2*z2)^2=532.8689^2
(t1*x1-t3*x3)^2+(t1*y1-t3*y3)^2+(t1*z1-t3*z3)^2=532.8689^2
(t3*x3-t2*x2)^2+(t3*y3-t2*y2)^2+(t3*z3-t2*z2)^2=753.5904^2
从中解出t1,t2,t3
只需要解出近似解就可以了,solve解不出来的.
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