(4 x + 12 x^3 + 12 x^5 + 4 x^7 - 4 y - 2 x^2 y + 6 x^4 y + 2 x^6 y -
2 x^8 y + 2 x y^2 + 12 x^3 y^2 + 10 x^5 y^2 - 12 y^3 -
12 x^2 y^3 + 2 x^4 y^3 - 2 x^8 y^3 - 6 x y^4 - 2 x^3 y^4 -
4 x^7 y^4 - 12 y^5 - 10 x^2 y^5 - 2 x^6 y^5 - 2 x y^6 +
2 x^5 y^6 - 4 y^7 + 4 x^4 y^7 + 2 x y^8 + 2 x^3 y^8 + 12 x^2 z +
24 x^4 z + 12 x^6 z + 24 x^3 y z + 24 x^5 y z - 12 y^2 z +
30 x^4 y^2 z + 8 x^6 y^2 z - 2 x^8 y^2 z - 24 x y^3 z +
8 x^5 y^3 z - 8 x^7 y^3 z - 24 y^4 z - 30 x^2 y^4 z -
8 x^6 y^4 z - 24 x y^5 z - 8 x^3 y^5 z - 12 y^6 z - 8 x^2 y^6 z +
8 x^4 y^6 z + 8 x^3 y^7 z + 2 x^2 y^8 z + 10 x z^2 + 32 x^3 z^2 +
26 x^5 z^2 + 4 x^7 z^2 - 10 y z^2 + 16 x^2 y z^2 + 53 x^4 y z^2 +
18 x^6 y z^2 - x^8 y z^2 - 16 x y^2 z^2 + 34 x^3 y^2 z^2 +
26 x^5 y^2 z^2 - 8 x^7 y^2 z^2 - 32 y^3 z^2 - 34 x^2 y^3 z^2 +
10 x^4 y^3 z^2 - 12 x^6 y^3 z^2 - 53 x y^4 z^2 - 10 x^3 y^4 z^2 -
4 x^5 y^4 z^2 - 26 y^5 z^2 - 26 x^2 y^5 z^2 + 4 x^4 y^5 z^2 -
18 x y^6 z^2 + 12 x^3 y^6 z^2 - 4 y^7 z^2 + 8 x^2 y^7 z^2 +
x y^8 z^2 + 20 x^2 z^3 + 32 x^4 z^3 + 12 x^6 z^3 + 44 x^3 y z^3 +
32 x^5 y z^3 - 4 x^7 y z^3 - 20 y^2 z^3 + 22 x^4 y^2 z^3 -
14 x^6 y^2 z^3 - 44 x y^3 z^3 - 10 x^5 y^3 z^3 - 32 y^4 z^3 -
22 x^2 y^4 z^3 - 32 x y^5 z^3 + 10 x^3 y^5 z^3 - 12 y^6 z^3 +
14 x^2 y^6 z^3 + 4 x y^7 z^3 + 8 x z^4 + 22 x^3 z^4 + 14 x^5 z^4 -
8 y z^4 + 13 x^2 y z^4 + 21 x^4 y z^4 - 6 x^6 y z^4 -
13 x y^2 z^4 + 6 x^3 y^2 z^4 - 12 x^5 y^2 z^4 - 22 y^3 z^4 -
6 x^2 y^3 z^4 - 4 x^4 y^3 z^4 - 21 x y^4 z^4 + 4 x^3 y^4 z^4 -
14 y^5 z^4 + 12 x^2 y^5 z^4 + 6 x y^6 z^4 + 8 x^2 z^5 +
8 x^4 z^5 + 4 x^3 y z^5 - 4 x^5 y z^5 - 8 y^2 z^5 -
4 x^4 y^2 z^5 - 4 x y^3 z^5 - 8 y^4 z^5 + 4 x^2 y^4 z^5 +
4 x y^5 z^5 + 2 x z^6 + 2 x^3 z^6 - 2 y z^6 - x^2 y z^6 -
x^4 y z^6 + x y^2 z^6 - 2 y^3 z^6 +
x y^4 z^6)/(8 (1 + x^2) (1 + y^2) (1 + x^2 + 2 x y + y^2) (1 +
x^2 + 2 x z + z^2) (1 + y^2 + 2 y z + z^2) (1 + x^2 + 2 x y +
y^2 + 2 x z + 2 y z + z^2))这是第一个方程
(-((3 y)/(1 + y^2)^(5/2)) - (3 (x + y))/(1 + (x + y)^2)^(5/2) - (
3 (y + z))/(1 + (y + z)^2)^(5/2) - (
3 (x + y + z))/(1 + (x + y + z)^2)^(
5/2)) (-((2 x^2)/(1 + x^2)^2) + 1/(1 + x^2) - (
2 x (x + y))/(1 + (x + y)^2)^2 + 1/(1 + (x + y)^2) - (
2 x (x + z))/(1 + (x + z)^2)^2 + 1/(1 + (x + z)^2) - (
2 x (x + y + z))/(1 + (x + y + z)^2)^2 + 1/(
1 + (x + y + z)^2)) - (-((3 x)/(1 + x^2)^(5/2)) - (
3 (x + y))/(1 + (x + y)^2)^(5/2) - (3 (x + z))/(1 + (x + z)^2)^(
5/2) - (3 (x + y + z))/(1 + (x + y + z)^2)^(
5/2)) (-((2 y^2)/(1 + y^2)^2) + 1/(1 + y^2) - (
2 y (x + y))/(1 + (x + y)^2)^2 + 1/(1 + (x + y)^2) - (
2 y (y + z))/(1 + (y + z)^2)^2 + 1/(1 + (y + z)^2) - (
2 y (x + y + z))/(1 + (x + y + z)^2)^2 + 1/(1 + (x + y + z)^2))
这是第二个方程
Reduce[%1 == 0 && %2 == 0, {x, y, z}]
这是我用的解方程的命令，求解答。谢谢
2 x^8 y + 2 x y^2 + 12 x^3 y^2 + 10 x^5 y^2 - 12 y^3 -
12 x^2 y^3 + 2 x^4 y^3 - 2 x^8 y^3 - 6 x y^4 - 2 x^3 y^4 -
4 x^7 y^4 - 12 y^5 - 10 x^2 y^5 - 2 x^6 y^5 - 2 x y^6 +
2 x^5 y^6 - 4 y^7 + 4 x^4 y^7 + 2 x y^8 + 2 x^3 y^8 + 12 x^2 z +
24 x^4 z + 12 x^6 z + 24 x^3 y z + 24 x^5 y z - 12 y^2 z +
30 x^4 y^2 z + 8 x^6 y^2 z - 2 x^8 y^2 z - 24 x y^3 z +
8 x^5 y^3 z - 8 x^7 y^3 z - 24 y^4 z - 30 x^2 y^4 z -
8 x^6 y^4 z - 24 x y^5 z - 8 x^3 y^5 z - 12 y^6 z - 8 x^2 y^6 z +
8 x^4 y^6 z + 8 x^3 y^7 z + 2 x^2 y^8 z + 10 x z^2 + 32 x^3 z^2 +
26 x^5 z^2 + 4 x^7 z^2 - 10 y z^2 + 16 x^2 y z^2 + 53 x^4 y z^2 +
18 x^6 y z^2 - x^8 y z^2 - 16 x y^2 z^2 + 34 x^3 y^2 z^2 +
26 x^5 y^2 z^2 - 8 x^7 y^2 z^2 - 32 y^3 z^2 - 34 x^2 y^3 z^2 +
10 x^4 y^3 z^2 - 12 x^6 y^3 z^2 - 53 x y^4 z^2 - 10 x^3 y^4 z^2 -
4 x^5 y^4 z^2 - 26 y^5 z^2 - 26 x^2 y^5 z^2 + 4 x^4 y^5 z^2 -
18 x y^6 z^2 + 12 x^3 y^6 z^2 - 4 y^7 z^2 + 8 x^2 y^7 z^2 +
x y^8 z^2 + 20 x^2 z^3 + 32 x^4 z^3 + 12 x^6 z^3 + 44 x^3 y z^3 +
32 x^5 y z^3 - 4 x^7 y z^3 - 20 y^2 z^3 + 22 x^4 y^2 z^3 -
14 x^6 y^2 z^3 - 44 x y^3 z^3 - 10 x^5 y^3 z^3 - 32 y^4 z^3 -
22 x^2 y^4 z^3 - 32 x y^5 z^3 + 10 x^3 y^5 z^3 - 12 y^6 z^3 +
14 x^2 y^6 z^3 + 4 x y^7 z^3 + 8 x z^4 + 22 x^3 z^4 + 14 x^5 z^4 -
8 y z^4 + 13 x^2 y z^4 + 21 x^4 y z^4 - 6 x^6 y z^4 -
13 x y^2 z^4 + 6 x^3 y^2 z^4 - 12 x^5 y^2 z^4 - 22 y^3 z^4 -
6 x^2 y^3 z^4 - 4 x^4 y^3 z^4 - 21 x y^4 z^4 + 4 x^3 y^4 z^4 -
14 y^5 z^4 + 12 x^2 y^5 z^4 + 6 x y^6 z^4 + 8 x^2 z^5 +
8 x^4 z^5 + 4 x^3 y z^5 - 4 x^5 y z^5 - 8 y^2 z^5 -
4 x^4 y^2 z^5 - 4 x y^3 z^5 - 8 y^4 z^5 + 4 x^2 y^4 z^5 +
4 x y^5 z^5 + 2 x z^6 + 2 x^3 z^6 - 2 y z^6 - x^2 y z^6 -
x^4 y z^6 + x y^2 z^6 - 2 y^3 z^6 +
x y^4 z^6)/(8 (1 + x^2) (1 + y^2) (1 + x^2 + 2 x y + y^2) (1 +
x^2 + 2 x z + z^2) (1 + y^2 + 2 y z + z^2) (1 + x^2 + 2 x y +
y^2 + 2 x z + 2 y z + z^2))这是第一个方程
(-((3 y)/(1 + y^2)^(5/2)) - (3 (x + y))/(1 + (x + y)^2)^(5/2) - (
3 (y + z))/(1 + (y + z)^2)^(5/2) - (
3 (x + y + z))/(1 + (x + y + z)^2)^(
5/2)) (-((2 x^2)/(1 + x^2)^2) + 1/(1 + x^2) - (
2 x (x + y))/(1 + (x + y)^2)^2 + 1/(1 + (x + y)^2) - (
2 x (x + z))/(1 + (x + z)^2)^2 + 1/(1 + (x + z)^2) - (
2 x (x + y + z))/(1 + (x + y + z)^2)^2 + 1/(
1 + (x + y + z)^2)) - (-((3 x)/(1 + x^2)^(5/2)) - (
3 (x + y))/(1 + (x + y)^2)^(5/2) - (3 (x + z))/(1 + (x + z)^2)^(
5/2) - (3 (x + y + z))/(1 + (x + y + z)^2)^(
5/2)) (-((2 y^2)/(1 + y^2)^2) + 1/(1 + y^2) - (
2 y (x + y))/(1 + (x + y)^2)^2 + 1/(1 + (x + y)^2) - (
2 y (y + z))/(1 + (y + z)^2)^2 + 1/(1 + (y + z)^2) - (
2 y (x + y + z))/(1 + (x + y + z)^2)^2 + 1/(1 + (x + y + z)^2))
这是第二个方程
Reduce[%1 == 0 && %2 == 0, {x, y, z}]
这是我用的解方程的命令，求解答。谢谢
