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问题: 初二化简求助

求助初二化简,小学计算没过关,现在感觉好吃力,几何部分小学没有 现在学起来感觉轻松多了

解答:

解:
(1):
先看分子: 1,2,3,4,5,6,.....第n个数应该是n.
再看分母: 3,8,15,24,35,48.............
2^-1=3, 3^-1=8 4^-1=15 5^-1=24 6^-1=35...
∴分母第n个数为n^-1
∴n/(n^-1)
(2)
1/f=1/f1+1/f2
1/f1=1/f-1/f2=(f2-f)/f×f2
f1=f×f2/(f2-f)
(3)
因式分解法:
(2x+3)/(x^-1)=(2x+3)/(x+1)(x-1)
=[4x+6]/2(x+1)(x-1)
=[(1-x)+(5x+5)]/2(x+1)(x-1)
=[-1/2(x+1)]+[5/2(x-1)]
用待定系数法
(2x+3)/(x^-1)=(2x+3)/(x+1)(x-1)=A/(x+1)+B(/x-1)
=[(A+B)x+(-A+B)]/(x+1)(x-1)
A+B=2
B-A=3
B=5/2 A=-1/2
∴(2x+3)/(x^-1)=[-1/2(x+1)]+[5/2(x-1)]