初一数学题一枚(关于有理数乘除法的),求好人相助!先阅读下面的材料,(1+1/2)*(1-1/3)=3/2*2/3=1(1+1/2)*(1+1/4)*(1-1/3)*(1-1/5)=3/2*5/4*2/3*4/5=(3/2*2/3)*(5/4*4/5)=1*1=1第一个问题:请你
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![初一数学题一枚(关于有理数乘除法的),求好人相助!先阅读下面的材料,(1+1/2)*(1-1/3)=3/2*2/3=1(1+1/2)*(1+1/4)*(1-1/3)*(1-1/5)=3/2*5/4*2/3*4/5=(3/2*2/3)*(5/4*4/5)=1*1=1第一个问题:请你](/uploads/image/z/2582777-65-7.jpg?t=%E5%88%9D%E4%B8%80%E6%95%B0%E5%AD%A6%E9%A2%98%E4%B8%80%E6%9E%9A%EF%BC%88%E5%85%B3%E4%BA%8E%E6%9C%89%E7%90%86%E6%95%B0%E4%B9%98%E9%99%A4%E6%B3%95%E7%9A%84%EF%BC%89%2C%E6%B1%82%E5%A5%BD%E4%BA%BA%E7%9B%B8%E5%8A%A9%21%E5%85%88%E9%98%85%E8%AF%BB%E4%B8%8B%E9%9D%A2%E7%9A%84%E6%9D%90%E6%96%99%2C%EF%BC%881%2B1%2F2%EF%BC%89%2A%EF%BC%881-1%2F3%EF%BC%89%3D3%2F2%2A2%2F3%3D1%EF%BC%881%2B1%2F2%EF%BC%89%2A%EF%BC%881%2B1%2F4%EF%BC%89%2A%EF%BC%881-1%2F3%EF%BC%89%2A%EF%BC%881-1%2F5%EF%BC%89%3D3%2F2%2A5%2F4%2A2%2F3%2A4%2F5%3D%EF%BC%883%2F2%2A2%2F3%EF%BC%89%2A%EF%BC%885%2F4%2A4%2F5%EF%BC%89%3D1%2A1%3D1%E7%AC%AC%E4%B8%80%E4%B8%AA%E9%97%AE%E9%A2%98%EF%BC%9A%E8%AF%B7%E4%BD%A0)
初一数学题一枚(关于有理数乘除法的),求好人相助!先阅读下面的材料,(1+1/2)*(1-1/3)=3/2*2/3=1(1+1/2)*(1+1/4)*(1-1/3)*(1-1/5)=3/2*5/4*2/3*4/5=(3/2*2/3)*(5/4*4/5)=1*1=1第一个问题:请你
初一数学题一枚(关于有理数乘除法的),求好人相助!
先阅读下面的材料,
(1+1/2)*(1-1/3)=3/2*2/3=1
(1+1/2)*(1+1/4)*(1-1/3)*(1-1/5)=3/2*5/4*2/3*4/5=(3/2*2/3)*(5/4*4/5)=1*1=1
第一个问题:
请你计算(1+1/2)*(1+1/4)*(1+1/6)*(1-1/3)*(1-1/5)*(1-1/7)的结果.
第二个问题:
请你运用上述规律求下列式子的值.
(1+1/2)*(1+1/4)*(1+1/6)*···*(1+1/20)*(1-1/3)*(1-1/5)*(1-1/7)*···*(1-1/21)
初一数学题一枚(关于有理数乘除法的),求好人相助!先阅读下面的材料,(1+1/2)*(1-1/3)=3/2*2/3=1(1+1/2)*(1+1/4)*(1-1/3)*(1-1/5)=3/2*5/4*2/3*4/5=(3/2*2/3)*(5/4*4/5)=1*1=1第一个问题:请你
(1+1/2)*(1+1/4)*(1+1/6)*(1-1/3)*(1-1/5)*(1-1/7)
=3/2*5/4*7/6*2/3*4/5*6/7=(3/2*2/3)*(5/4*4/5)*(7/6*6/7)=1
(1+1/2)*(1+1/4)*(1+1/6)*···*(1+1/20)*(1-1/3)*(1-1/5)*(1-1/7)*···*(1-1/21)=1
后面一个其实就是看成
(3/2*5/4*7/6*...*21/20)*(2/3*4/5*6/7...*20/21)=(3/2*2/3)*(5/4*4/5)*(7/6*6/7)*...*(21/20*20/21)=1