1.已知非零有理数x,y满足x²-4xy+4y²=0,则(x-y)/(x+y)=?

问题描述:

1.已知非零有理数x,y满足x²-4xy+4y²=0,则(x-y)/(x+y)=?
2.若1/a+1/b=1/(a+b),则b/a+a/b的值为?
3.若1/(2y²+3y+7)=1/8,则1/(4y²+6y-9)的值为?
4.有理数x,y满足xy=1,设M=1/(1+x)+1/(1+y),N=x/(1+x)+y/(1+y),则M,N的关系是?
5.已知x/2=y/3=z/4≠0,则(2x²-3yz+y²)/(x²-2xy-z²)的值等于?

回答:第一题,因为x²-4xy+4y²=0,所以(x-2y)²=0,所以x-2y=0,所以x=2y所以(x-y)/(x+y)=(2y-y)/(2y+y)=y/3y=1/3第二题,在1/a+1/b=1/(a+b)两边同时乘以(a+b)得:(a+b)/a+(a+b)/b=1化简得:1+b/a+a/...