(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1+1/10)×(1-1/3)(1-1/5)(1-1/7)(1-1/9)=?要准确数字

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(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1+1/10)×(1-1/3)(1-1/5)(1-1/7)(1-1/9)=?要准确数字
(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1+1/10)×(1-1/3)(1-1/5)(1-1/7)(1-1/9)=?要准确数字

(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1+1/10)×(1-1/3)(1-1/5)(1-1/7)(1-1/9)=?要准确数字
(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1+1/10)×(1-1/3)(1-1/5)(1-1/7)(1-1/9)
=（3/2×2/3）×（5/4×4/5）×（7/6×6/7）×（9/8×8/9）×11/10
=1×11/10
=11/10

=(1+1/2)(1-1/3)(1+1/4)(1-1/5)(1+1/6)(1-1/7)(1+1/8)(1-1/9)(1+1/10)
=3/2×2/3×5/4×4/5……×11/10
=11/10

10分之11

(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1+1/10)×(1-1/3)(1-1/5)(1-1/7)(1-1/9)
=(3/2)×(5/4)×(7/6)×(9/8)×(11/10)×(2/3)×(4/5)×(6/7)×(8/9)

1.1

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(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1+1/10)×(1-1/3)(1-1/5)(1-1/7)(1-1/9)
= 3/2 * 5/4 * 7/6 * 9/8 * 11/10 * 2/3 * 4/5 * 6/7 * 8/9 ......化简每个括号
= 3/2 * 2/3 * 5/4 * 4/5 * 7/6 * 6/7 * 9/8 * 8/9 * 11/10 ......利用乘法交换率
= (3/2 * 2/3) * (5/4 * 4/5) * (7/6 * 6/7) * (9/8 * 8/9) * 11/10 ......利用乘法结合率
= 1 * 1 * 1 * 1 * 11/10
= 11/10 ----(即1.1)

收起

=(1+1/2)(1-1/3)(1+1/4)(1-1/5)(1+1/6)(1-1/7)(1+1/8)(1-1/9)(1+1/10)

1/2*2-1+1/4*4-1+1/6*6-1+...+1/50*50-1 （1- 1/100)(1- 1/99) .....(1- 1/4)(1- 1/3)(1- 1/2) (-1 1/2)*(-1 1/3)*......(-1 1/6)*(-1 1/7) |1/4-1/2|+|1/6-1/4|+|1/8-1/6|+```+|1/2008-1/2006| ((1/2)-1)*((1/3)-1)*((1/4)-1)*((1/5)-1)*((1/6)-1)*((1/7)-1)*((1/8)-1)*((1/9)-1)*((1/10)-1) 1/2+1/4+1/6+1/8+.1/n (1+1/2)*(1+1/4)*(1+1/6)*.*(1+1/20)*(1-1/3)*(1-1/5)+(1-1/7)*.*(1-1/2 1+1+1+1+11+-1-1-1-1-2-3-4-5-6等于 1-1/2+1/3-1/4+1/5-1/6+1/7.-1/50=? 9*(1-1/2)*(1-1/3)*(1-1/4)*(1-1/5)*(1-1/6)*(1-1/7)*(1-1/8)*(1-1/9)怎样简便计算 (1+2/1)*(1+4/1)*(1+6/1)*...*(1+20/1)*(1-3/1)*(1-5/1)*(1-7/1)*...*(1-21/1)等于多少 1+1+1+1+1+1+1+1+1+2+5+4+8+3+6+2+1+4等于多少? 巧算：(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)*(1/2+1/3+1/4+1/5)(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)*(1/2+1/3+1/4+1/5)===== 1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/( )+1/( )+1/( )+1/( )] 1 1 1 1 1 1 1 1-1 1 1 1 1 2 3 4-1 -1 1 1 1 3 6 10-1 -1 -1 1 1 4 10 20 4,2,1,1/2,1/4,（ ) ( ) ( )1/8,1/32,1/4 ,1/16( )( ) ( )1/2,1/6,1/12,1/20,1/30,1/42 ( ) ( ) ( ) 2/1+4/1+4/1+6/1+8/1+16/1+32/1=? 1,2,4,6, 2/1 3/1 4/1 5/1 6/1 8/1 10/1 12/1 15/1 20/1