求matlab跟mathematica高手解一个四元方程:(X-230)*(x-X)+(Y-60)*(y-Y)==0,(X-230)^2+(Y-60)^2==100,x*((x - 230)) + y*((y - 60)) == 0, (x -270)^2 + (y - 680)^2 == 100
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![求matlab跟mathematica高手解一个四元方程:(X-230)*(x-X)+(Y-60)*(y-Y)==0,(X-230)^2+(Y-60)^2==100,x*((x - 230)) + y*((y - 60)) == 0, (x -270)^2 + (y - 680)^2 == 100](/uploads/image/z/6852962-2-2.jpg?t=%E6%B1%82matlab%E8%B7%9Fmathematica%E9%AB%98%E6%89%8B%E8%A7%A3%E4%B8%80%E4%B8%AA%E5%9B%9B%E5%85%83%E6%96%B9%E7%A8%8B%EF%BC%9A%28X-230%29%2A%28x-X%29%2B%28Y-60%29%2A%28y-Y%29%3D%3D0%2C%28X-230%29%5E2%2B%28Y-60%29%5E2%3D%3D100%2Cx%2A%28%28x+-+230%29%29+%2B+y%2A%28%28y+-+60%29%29+%3D%3D+0%2C+%28x+-270%29%5E2+%2B+%28y+-+680%29%5E2+%3D%3D+100)
求matlab跟mathematica高手解一个四元方程:(X-230)*(x-X)+(Y-60)*(y-Y)==0,(X-230)^2+(Y-60)^2==100,x*((x - 230)) + y*((y - 60)) == 0, (x -270)^2 + (y - 680)^2 == 100
求matlab跟mathematica高手解一个四元方程:
(X-230)*(x-X)+(Y-60)*(y-Y)==0,(X-230)^2+(Y-60)^2==100,x*((x - 230)) + y*((y - 60)) == 0, (x -270)^2 + (y - 680)^2 == 100
求matlab跟mathematica高手解一个四元方程:(X-230)*(x-X)+(Y-60)*(y-Y)==0,(X-230)^2+(Y-60)^2==100,x*((x - 230)) + y*((y - 60)) == 0, (x -270)^2 + (y - 680)^2 == 100
Solve[(X - 230)*(x - X) + (Y - 60)*(y - Y) ==
0 && (X - 230)^2 + (Y - 60)^2 == 100 &&
x*((x - 230)) + y*((y - 60)) == 0 && (x - 270)^2 + (y - 680)^2 ==
100(*&&x\[Element]Reals&&y\[Element]Reals&&X\[Element]Reals&&Y\
\[Element]Reals*),{x,y,X,Y}]
这是mathematica的解法.结果中带i是因为那是这个方程的复数解.顺便这个方程好像只有复数解,不信限定一下求解域(就是我注解中的部分,你去掉星号和括号就行了)求解试试,求出来是个空集.