简单的三元二次方程(A+r)^2=AE^2+OE^2(B+r)^2=(D-AE)^2+OE^2(C+r)^2=(D-OE)^2+(D-AE)^2ABCD已知,求r(a+r)^2=x^2+y^2(b+r)^2=(d-x)^2+y^2(c+r)^2=(d-y)^2+(d-x)^2已知a=2.7,b=4.02,c=4.31,d=8.33 求r
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![简单的三元二次方程(A+r)^2=AE^2+OE^2(B+r)^2=(D-AE)^2+OE^2(C+r)^2=(D-OE)^2+(D-AE)^2ABCD已知,求r(a+r)^2=x^2+y^2(b+r)^2=(d-x)^2+y^2(c+r)^2=(d-y)^2+(d-x)^2已知a=2.7,b=4.02,c=4.31,d=8.33 求r](/uploads/image/z/964054-46-4.jpg?t=%E7%AE%80%E5%8D%95%E7%9A%84%E4%B8%89%E5%85%83%E4%BA%8C%E6%AC%A1%E6%96%B9%E7%A8%8B%28A%2Br%29%5E2%3DAE%5E2%2BOE%5E2%28B%2Br%29%5E2%3D%28D-AE%29%5E2%2BOE%5E2%28C%2Br%29%5E2%3D%28D-OE%29%5E2%2B%28D-AE%29%5E2ABCD%E5%B7%B2%E7%9F%A5%2C%E6%B1%82r%28a%2Br%29%5E2%3Dx%5E2%2By%5E2%28b%2Br%29%5E2%3D%28d-x%29%5E2%2By%5E2%28c%2Br%29%5E2%3D%28d-y%29%5E2%2B%28d-x%29%5E2%E5%B7%B2%E7%9F%A5a%3D2.7%2Cb%3D4.02%2Cc%3D4.31%2Cd%3D8.33+%E6%B1%82r)
简单的三元二次方程(A+r)^2=AE^2+OE^2(B+r)^2=(D-AE)^2+OE^2(C+r)^2=(D-OE)^2+(D-AE)^2ABCD已知,求r(a+r)^2=x^2+y^2(b+r)^2=(d-x)^2+y^2(c+r)^2=(d-y)^2+(d-x)^2已知a=2.7,b=4.02,c=4.31,d=8.33 求r
简单的三元二次方程
(A+r)^2=AE^2+OE^2
(B+r)^2=(D-AE)^2+OE^2
(C+r)^2=(D-OE)^2+(D-AE)^2
ABCD已知,求r
(a+r)^2=x^2+y^2
(b+r)^2=(d-x)^2+y^2
(c+r)^2=(d-y)^2+(d-x)^2
已知a=2.7,b=4.02,c=4.31,d=8.33 求r
简单的三元二次方程(A+r)^2=AE^2+OE^2(B+r)^2=(D-AE)^2+OE^2(C+r)^2=(D-OE)^2+(D-AE)^2ABCD已知,求r(a+r)^2=x^2+y^2(b+r)^2=(d-x)^2+y^2(c+r)^2=(d-y)^2+(d-x)^2已知a=2.7,b=4.02,c=4.31,d=8.33 求r
(a+r)²=x²+y²(1)
(b+r)²=(d-x)²+y²(2)
(c+r)²=(d-y)²+(d-x)²(3)
(2)-(1)
x=[d²+a²-b²-r(2a-2b)]/2d=[8.33²+2.7²-4.02²-2r(2.7-4.02)]/2x8.33=(60.5185+2.7r)/16.66
(3)-(2)
y=[d²+b²-c²-2r(b-c)]/2d=[8.33²+4.02²-4.31²-2r(4.02-4.31)]/16.66=(66.9732+0.29r)/16.66
将x,y的值代入(1)
(2.7+r)²=(60.5185+2.7r)²/16.66²+(66.9732+0.29r)²/16.66²
270.1815r²+1133.155884r-6124.57761674=0
r≈3.11或r≈-7.30(如果r是线段一类的正数,那么此值舍去)
计算实在繁琐,结果可能有误,仅供参考
OE^2 这是两次?