欧弟当着张学友面模仿:小学六年级数学计算题

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(1+1/2)(1+1/3)(1+1/4)......(1+1/100)
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(1-1/2)(1-1/3)(1-1/4)......(1-1/100)

分子是:
(1+1/2)(1+1/3)(1+1/4)......(1+1/100)
=(3/2)(4/3)(5/4)……(101/100)
=3*4*5*……101/2*3*4*……*100
=101/2
分母是:
(1-1/2)(1-1/3)(1-1/4)......(1-1/100)
=(1/2)(2/3)(3/4)……(99/100)
=1*2*3*……*99/2*3*4*……*100
=1/100
101/2/1/100=5050

(1+1/2)(1+1/3)(1+1/4)......(1+1/100)
=(3/2)(4/3)(5/4)……(101/100)
=101/2

(1-1/2)(1-1/3)(1-1/4)......(1-1/100)
=(1/2)(2/3)(3/4)……(99/100)
=1/100

所以原式=(101/2)/(1/100)
=101*50
=5050

分子 = 3/2 * 4/3 * 5/4 *……* 101/100 = 101/2
分母 = 1/2 * 2/3 * 3/4 *……* 99/100 = 1/100
所以原式 = (101/2)/(1/100) = 101*100/2 = 5050

分子=3/2*4/3*5/4.....101/100=101/2
分母=1/2*2/3*3/4.....99/100=1/100
最后=10100/2=5050

前一个分数的分子和后一个分数的分母可以约分

5050

5050