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8年級下,數(shù)學(xué)優(yōu)化設(shè)計(jì),5題求解
(1)、折分,抵消;
(2)、原式=1/2*(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)=1/2*(1-1/11)=1/2*10/11=5/11;
原式=1/2*[1-1/3+1/3-1/5+1/5-1/7+---+1/(2n-1)-1/(2n+1)]=1/2*[1-1/(2n+1)]=1/2*2n/(2n+1)=n/(2n+1);
(3)、原式=n/(2n+1);
(4)、原式=1/(x-1)-1/x+1/x-1/(x+1)+1/(x+1)-1/(x+2)+---+1/(x+9)-1/(x+10)=1/(x-1)-1/(x+10)=(x+10-x+1)/(x-1)(x+10)=11/(x-1)(x+10)
標(biāo)簽: 8年級下數(shù)學(xué)優(yōu)化設(shè)計(jì)5題求解
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