设f(x+y,x-y)=(x2-y2)/x,,则f(x,y)=()
A、2xy/(x-y)
B、2xy/(x+y)
C、xy/(x-y)
D、xy/(x+y)
【正确答案】:B
【题目解析】:令x+y=u,x-y=υ,则x=(u+υ)/2,y=(u-υ)/2,f(x+y,x-y)=(x2-y2)/x=(x+y)(x-y)/x=u•υ/[(u+υ)/2]=2uυ/(u+υ),所以f(x,y)=2xy/(x+y)
设f(x+y,x-y)=(x2-y2)/x,,则f(x,y)=()
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