已知x,y,z满足y+z/x=z+x/y=x+y/z=k,求k的值我只知道一个,∵ y+z/x=z+x/y=x+y/z=k ∴ y+z/x=k z+x/y=k x+y/z=k ∴ kx=y+z ky=x+z kz=x+y ∴kx+kz+ky=2(x+y+z) k(x+y+z)=2(x+y+z) k=2先在此谢过了
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![已知x,y,z满足y+z/x=z+x/y=x+y/z=k,求k的值我只知道一个,∵ y+z/x=z+x/y=x+y/z=k ∴ y+z/x=k z+x/y=k x+y/z=k ∴ kx=y+z ky=x+z kz=x+y ∴kx+kz+ky=2(x+y+z) k(x+y+z)=2(x+y+z) k=2先在此谢过了](/uploads/image/z/13872751-7-1.jpg?t=%E5%B7%B2%E7%9F%A5x%2Cy%2Cz%E6%BB%A1%E8%B6%B3y%2Bz%2Fx%3Dz%2Bx%2Fy%3Dx%2By%2Fz%3Dk%2C%E6%B1%82k%E7%9A%84%E5%80%BC%E6%88%91%E5%8F%AA%E7%9F%A5%E9%81%93%E4%B8%80%E4%B8%AA%2C%E2%88%B5+y%2Bz%2Fx%3Dz%2Bx%2Fy%3Dx%2By%2Fz%3Dk+%E2%88%B4+y%2Bz%2Fx%3Dk+z%2Bx%2Fy%3Dk+x%2By%2Fz%3Dk+%E2%88%B4+kx%3Dy%2Bz+ky%3Dx%2Bz+kz%3Dx%2By+%E2%88%B4kx%2Bkz%2Bky%3D2%28x%2By%2Bz%29+k%28x%2By%2Bz%29%3D2%28x%2By%2Bz%29+k%3D2%E5%85%88%E5%9C%A8%E6%AD%A4%E8%B0%A2%E8%BF%87%E4%BA%86)
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