已知x/2=y/—3=z/4,求下列分式的值(1)(2x+3y+4z)/(4x+3y+2z)(2) (xy—yz+zx)/(x^2+y^2—z^2)
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![已知x/2=y/—3=z/4,求下列分式的值(1)(2x+3y+4z)/(4x+3y+2z)(2) (xy—yz+zx)/(x^2+y^2—z^2)](/uploads/image/z/8818546-58-6.jpg?t=%E5%B7%B2%E7%9F%A5x%2F2%3Dy%2F%E2%80%943%3Dz%2F4%2C%E6%B1%82%E4%B8%8B%E5%88%97%E5%88%86%E5%BC%8F%E7%9A%84%E5%80%BC%EF%BC%881%EF%BC%89%282x%2B3y%2B4z%29%2F%284x%2B3y%2B2z%29%282%29+%28xy%E2%80%94yz%2Bzx%29%2F%28x%5E2%2By%5E2%E2%80%94z%5E2%29)
已知x/2=y/—3=z/4,求下列分式的值(1)(2x+3y+4z)/(4x+3y+2z)(2) (xy—yz+zx)/(x^2+y^2—z^2)
已知x/2=y/—3=z/4,求下列分式的值
(1)(2x+3y+4z)/(4x+3y+2z)
(2) (xy—yz+zx)/(x^2+y^2—z^2)
已知x/2=y/—3=z/4,求下列分式的值(1)(2x+3y+4z)/(4x+3y+2z)(2) (xy—yz+zx)/(x^2+y^2—z^2)
设x/2=y/—3=z/4=k
x=2k
y=-3k
z=4k
(2x+3y+4z)/(4x+3y+2z)
=(2*2k-3*3k+4*4k)/(4*2k-3*3k+2*4k)
=11k/7k
=11/7
(xy—yz+zx)/(x^2+y^2—z^2)
=(-6k^2+12k^2+8k^2)/(4k^2+9k^2-16k^2)
=14k^2/(-3k^2)
=-14/3
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