1.已知x=10,求1/x-1+1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)+1/(x-

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1.已知x=10,求1/x-1+1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)+1/(x-4)(x-5)的值
2.已知1/x=1/a+1/b,1/y=1/b-1/a,求x/y的值

1.已知x=10,求1/x-1+1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)+1/(x-4)(x-5)的值
1/(x-1)(x-2)=1/(x-1)-1/(x-2)
1/(x-2)(x-3)=1/(x-2)-1/(x-3)
1/(x-3)(x-4)=1/(x-3)-1/(x-4)
1/(x-4)(x-5)=1/(x-4)-1/(x-5)
原式=1/x-1+1/(x-1)-1/(x-5)
=1/10-1+1/9-1/5
=-89/90
2.已知1/x=1/a+1/b,1/y=1/b-1/a,求x/y的值
1/x=(a+b)/(ab).x=ab/(a+b)
1/y=(a-b)/(ab)
x/y=(a-b)/(a+b)

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