1/11+1/33,1/12+1/29,1/13+1/25,1/14+1/21

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/11/23 20:11:52

1/11+1/33,1/12+1/29,1/13+1/25,1/14+1/21
比较大小

1/11-1/12=1/(11*12)
1/29-1/33=(33-29)/(29*33)=4/(29*33)=1/(29/2*33/2)=1/(14.5*16.5)
14.5*16.5>11*12
所以1/(11*12)>1/(14.5*16.5)
所以1/11-1/12>1/29-1/33
所以1/11+1/33>1/12+1/29
1/12-1/13=1/(12*13)
1/25-1/29=(29-25)/(25*29)=4/(25*29)=1/(25/2*29/2)=1/(12.5*14.5)
12.5*14.5>12*13
所以1/(12*13)>1/(12.5*14.5)
所以1/12-1/13>1/25-1/29
所以1/12+1/29>1/13+1/25
1/13-1/14=1/(13*14)
1/21-1/25=(25-21)/(21*25)=4/(21*25)=1/(21/2*25/2)=1/(10.5*12.5)
13*14>10.5*12.5
所以1/(10.5*12.5)>1/(13*14)
所以1/21-1/25>1/13-1/14
所以1/14+1/21>1/13+1/25
1/12-1/14=(14-12)/(12*14)=2/(12*14)=1/(6*14)=1/(6*2/3*3/2*14)=1/(4*21)
1/21-1/29=(29-21)/(21*29)=8/(21*29)=1/(21*3.625)
4*21>21*3.625
所以1/(21*3.625)>1/(4*21)
所以1/21-1/29>1/12-1/14
所以1/14+1/21>1/12+1/29
1/11+1/33=4/33=1/8.25
1/14+1/21=5/42=1/8.4
所以1/11+1/33>1/14+1/21
所以：
1/11+1/33>1/14+1/21>1/12+1/29>1/13+1/25

1/11+1/33,1/12+1/29,1/13+1/25,1/14+1/21 1\11+1\33,1\12+1\29,1\13+1\25,1\14+1\21 1\11+1\33,1\12+1\29,1\13+1\25,1\14+1\21比较大小 1/11+1/29;1/12+1/25;1/14+1/19;1/13+1/21; 比较大小：1/11+1/29 1/12+1/25 1/13+1/21 1/14+1/19 比较大小1/11+1/29,1/12+1/25,1/13+1/21,1/14+1/19 1/11+1/29 1/12+1/25 1/13+1/21 1/14+1/19比大小要详细过程 |1/11-1/12|+|1/12-1/13|+|1/13-1/14+|1/14-1/15| 1/10*11+1/11*12+1/12*13+1/13*14+1/14*15等于? |1\12-1\11|+|3\13-1\12|+1\14-1\13|+|1\15-1\14|+||1\16-1\15| 有简便方法计算：|1/11-1/12|+|1/12-1/13|+|1/14-1/13| {1/12+(-1/11)}+{1/13+(-1/12)}+{1/14+(-1/13)}+{1/15+(-1/14)}怎