这个小学六年级的题怎么做
2个回答
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分母=1-1/2+1/3-1/4+1/5-1/6……+1/99-1/100
=1+1/2+1/3+1/4+1/5+1/6……+1/99+1/100-2*(1/2+1/4+1/6+.+1/100)
=1+1/2+1/3+1/4+1/5+1/6……+1/99+1/100-(1+1/2+1/3+.+1/50)
=1/51+1/52+1/53+.+1/100
分子=1/102+1/104+1/106+.+1/200
=1/2*(1/51+1/52+1/53+.+1/100)
分子除分母=1/2
=1+1/2+1/3+1/4+1/5+1/6……+1/99+1/100-2*(1/2+1/4+1/6+.+1/100)
=1+1/2+1/3+1/4+1/5+1/6……+1/99+1/100-(1+1/2+1/3+.+1/50)
=1/51+1/52+1/53+.+1/100
分子=1/102+1/104+1/106+.+1/200
=1/2*(1/51+1/52+1/53+.+1/100)
分子除分母=1/2
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