I1/4-1/2I+I1/6-1/4I+I1/8-1/6I...+I1/2010-1/2008I

天儿蓝2022-10-04 11:39:542条回答

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明月独酌共回答了10个问题 | 采纳率100%: I1/4-1/2I+I1/6-1/4I+I1/8-1/6I...+I1/2010-1/2008I
=1/2-1/4+1/4-1/6+1/6-1/8+^+1/2008-1/2010
=1/2-1/2010
=502/1005; 1年前

mn99999 共回答了12个问题 | 采纳率: vvv; 1年前

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求式子I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+.+I1/10-1/9I= 求式子I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+.+I1/10-1/9I= I1/5-150/559I+I150/559-1/3I-I-1/3I用合理的方法算 v2eb1年前2: lililove1126 共回答了23个问题 | 采纳率91.3%

I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+.+I1/10-1/9I
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/9-1/10
=1/2-1/10
=2/5

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I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+……+I1/2009-1/2008I I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+……+I1/2009-1/2008I 火速.先回答加分.先30.列式+道理再+30 2小时内回答 wan100feng1年前2: 吴钩已断共回答了16个问题 | 采纳率87.5%

1/2-1/2009
I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+……+I1/2009-1/2008I
=1/2-1/3+1/3-1/4+1/4-1/5+...+1/2008-1/2009
=1/2-1/2009

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求出式子 I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+.+I1/100-1/99I （I I 表示绝对值 求出式子 I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+.+I1/100-1/99I （I I 表示绝对值） slrfood1年前3: 子杯阿龙共回答了14个问题 | 采纳率85.7%

因为1/3-1/2是负数,外面加了绝对值符号,所以 I1/3-1/2I= -（1/3-1/2）
把整个式子的绝对值拆开
= -（1/3-1/2）-（1/4-1/3）-(1/5-1/4)...-(1/100-1/99)
=-1/3+1/2-1/4+1/3-1/5+1/4...-1/100+1/99
=1/2-1/100
=50/100-1/100
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计算:I1/4-1/2I+I1/6-1/4I+I1/8-1/6I+...+I1/2008-1/2006I Sunshine331年前1: 找工共回答了13个问题 | 采纳率84.6%

原式=1/2-1/4+1/4-1/6+1/6-1/8+..+1/2006-1/2008
=1/2-1/2008
=1004/2008-1/2008
=1003/2008

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