狼牙带着有什么讲究:请教数学题

来源:百度文库 编辑:高考问答 时间:2024/05/13 05:55:35
1.已知x/3=y/1=z/2,且xy+yz+xz=99,求2x^2+12y^2+9z^2的值

2.(a^4-a^3b+a^2b^2-ab^3)/(a^2+b^2)

1.设X/3=Y/1=Z/2=K
所以 X=3K Y=K Z=2K
所以 3K*K+K*2K+3K*2K=99
所以 11K^2=99 K^2=9
原式=2*(3K)^2+12*K^2+9*(2K)^2
=76K^2
=66*9
=594
2.(a^4-a^3b+a^2b^2-ab^3)/(a^2+b^2)
=[a^2(a^2+b^2)-ab(a^2+b^2)]/[a^2+b^2]
=a^2-ab
=a(a-b)

已知x/3=y/1=z/2,且xy+yz+xz=99,求2x^2+12y^2+9z^2的值

x/3=y/1=z/2=k
x=3k
y=k
z=2k
xy+yz+xz=3kk+2kk+6kk=11kk=99
kk=9
2x^2+12y^2+9z^2=2*9kk+12*kk+9*4kk=66*9=594

2.(a^4-a^3b+a^2b^2-ab^3)/(a^2+b^2)
=[a^2(a^2+b^2)-ab(a^2+b^2)]/[a^2+b^2]
=a^2-ab
=a[a-b]

1.令x/3=y/1=z/2=k
x=3k
y=k
z=2k
xy+yz+xz=3kk+2kk+6kk=11kk=99
kk=9
2x^2+12y^2+9z^2=2*9kk+12*kk+9*4kk=66*9=594

2.(a^4-a^3b+a^2b^2-ab^3)/(a^2+b^2)
=[a^2(a^2+b^2)-ab(a^2+b^2)]/[a^2+b^2]
=a^2-ab
=a(a-b)

1.594

2.题意不清