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用Mathematica解方程组,输出如下错误,何意?另考虑到是否为无解,请问用该软怎么判断方程组是否有解?输入Solve[(y1-y2)/(x1-x2)=(55-16)/(-8-13),(x1-x2)^2+(y1-y2)^2=(55-16)^2+(-8-13)^2,(x2-5)^2+
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问题描述:

用Mathematica解方程组,输出如下错误,何意?另考虑到是否为无解,请问用该软怎么判断方程组是否有解?

输入Solve[(y1-y2)/(x1-x2)=(55-16)/(-8-

13),(x1-x2)^2+(y1-y2)^2=(55-16)^2+(-8-

13)^2,(x2-5)^2+(y2-10)^2=(13-5)^2+(16-

10)^2,(x1-5)^2+(y1-10)^2=(-8-5)^2+(55-10)^2,{x1,

x2,y1,y2}]

输出Set::write:TagTimesin(y1-y2)/(x1-x2)isProtected.>>

Set::write:TagPlusin(x1-x2)^2+(y1-y2)^2isProtected.>>

Set::write:TagPlusin(-5+x2)^2+(-10+y2)^2isProtected.>>

General::stop:FurtheroutputofSet::writewillbesuppressedduringthiscalculation.>>

Solve::nonopt:Optionsexpected(insteadof{x1,x2,y1,y2})beyondposition4inSolve[-(13/7),1962,100,2194,{x1,x2,y1,y2}].Anoptionmustbearuleoralistofrules.>>

上面的输入出错误了,少了一个“=”。

输入改正为下:Solve[(y1-y2)/(x1-x2)==(55-16)/(-8-

13),(x1-x2)^2+(y1-y2)^2==(55-16)^2+(-8-

13)^2,(x2-5)^2+(y2-10)^2==(13-5)^2+(16-

10)^2,(x1-5)^2+(y1-10)^2==(-8-5)^2+(55-

10)^2,{x1,x2,y1,y2}]

输出为:Solve::nonopt:Optionsexpected(insteadof{x1,x2,y1,y2})beyondposition4inSolve[(y1-y2)/(x1-x2)==-(13/7),(x1-x2)^2+(y1-y2)^2==1962,(-5+x2)^2+(-10+y2)^2==100,(-5+x1)^2+(-10+y1)^2==2194,{x1,x2,y1,y2}].Anoptionmustbearuleoralistofrules.>>

输出提示为何意?用何种方法判断方程组是否有解?急...

陈绍顺回答:
  所有的关系方程必须用{}括起来,正确的为:Solve[{(y1-y2)/(x1-x2)==(55-16)/(-8-13),(x1-x2)^2+(y1-y2)^2==(55-16)^2+(-8-13)^2,(x2-5)^2+(y2-10)^2==(13-5)^2+(16-10)^2,(x...
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