问题标题:
【八下数学分式题1.若分式x²+2分之x(x-3)的值为0,则分式x²-1分之2x÷1-x分之2x的值为?2.已知x-3y=0,求x²-2xy+y²分之2x+y乘以(x-y)的值】
问题描述:
八下数学分式题
1.若分式x²+2分之x(x-3)的值为0,则分式x²-1分之2x÷1-x分之2x的值为?
2.已知x-3y=0,求x²-2xy+y²分之2x+y乘以(x-y)的值
史百舟回答:
1、[x(x-3)]/(x²+2)=0=》x(x-3)=0=》x=0或x=3
2x/(x²-1)+2x/(1-x)=2x/(x²-1)-2x(x+1)/(x²-1)=2x²/(1-x²)
当x=0,2x/(x²-1)+2x/(1-x)=0
当x=3,2x/(x²-1)+2x/(1-x)=-9/4
2、[(2x+y)/(x²-2xy+y²)]×(x-y)=[(2x+y)/(x-y)²]×(x-y)=)=(2x+y)/(x-y)
因为x-3y=0=》x=3y
所以[(2x+y)/(x²-2xy+y²)]×(x-y)=(2x+y)/(x-y)=(6y+y)/(3y-y)=7/2
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