三道数学简便题~写出具体过程 好的另给给30分!1.2-{1/2-【1/2-(1/3-1/4)】}-22.1/2+1/4+1/8+1/16+1/32+1/643.1/1×3+1/3×5+1/5×7+1/7×9+1/9×11要简便计算~写出具体过程 好的另给给30分!
三道数学简便题~写出具体过程 好的另给给30分!
1.2-{1/2-【1/2-(1/3-1/4)】}-2
2.1/2+1/4+1/8+1/16+1/32+1/64
3.1/1×3+1/3×5+1/5×7+1/7×9+1/9×11
要简便计算~写出具体过程 好的另给给30分!
1、=2-{1/2-[1/2-1/3+1/4]-2=2-{1/2-1/2+1/3-1/4}-2=2-{1/3-1/4}-2=-1/3+1/4=-1/12;
2、=1/2+1/4+1/8+1/16+1/32+(1/64+1/64)-1/64=1/2+1/4+1/8+1/16+1/32+(1/32)-1/64=1/2+1/4+1/16+1/16-1/64=1/2+1/4+1/4-1/64=1/2+1/2-1/64=1-1/64=63/64;
3、1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+1/(9×11)=(1/2)[2/(1×3)+2/(3×5)+2/(5×7)+2/(7×9)+2/(9×11)]=(1/2)[(1/1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)]=(1/2)[1/1-1/11]=(1/2)×[10/11]=5/11。
1.=2-[1/2-1/2+(1/3-1/4)]-2=2-(1/3-1/4)-2=-(1/3-1/4)=-1/122.=32/32+16/64+8/64+4/64+2/64+1/64=63/64 不知道你学过等比数列没 如果学了的话就可以直接用了3.=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+1/2(1/7-1/9...