有几道数学题有点难,
题目
有几道数学题有点难,
1.已知x/5=y/3,则x/(x+y)+x/(x-y)-y²/(x²-y²)的值为________
2.(1)计算:1/(1-x)+1/(1+x)+2/(1+x²)+4/(1+x^4)
(2)猜想1/(1-x)+1/(1+x)+2/(1+x²)+4/(1+x^4)+…+1024/(1+x^1024)
3.已知abc=1,求a/(ab+a+1)+b/(bc+b+1)+c/(ca+c+1)的值
答案
1.已知x/5=y/3,则x/(x+y)+x/(x-y)-y²/(x²-y²)的值为________x/5=y/3x/y=5/3x/(x+y)+x/(x-y)-y²/(x²-y²)=x(x-y)/(x+y)(x-y)+x(x+y)/(x+y)(x-y)-y²/(x²-y²)=[x(x-y)+x(x...
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