定义新运算“※”:a※b=x/(a+b)+y/(a+b),已知1※2=8,2※3=4,求3※4
问题描述:
定义新运算“※”:a※b=x/(a+b)+y/(a+b),已知1※2=8,2※3=4,求3※4
答
a※b=x/(a+b)+y/(a-b) 1※2=x/(1+2) +y/(1-2)=8 x/3 -y=8 2※3=x/5-y=4 x(1/3 -1/5)=4 x=4/(2/15)=30 y=x/3 -8=2 3※4=30/(3+4)- 2=16/7