1/2=1/2x1=1-1/2 ,1/6=1/2x3=1/2-1/3,1/12=1/3x4=1/3-1/4.从上面的式子中你发现了什么?用找出的规律计算1/1x2+1/2x3+1/3x4+.....1/49x50观察下面的算是找出类似的规律,3/4+3/4x7+3/7x10+3/10x13 1/3+1/3x5+1/5x7+1/7x9+1/9x11
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![1/2=1/2x1=1-1/2 ,1/6=1/2x3=1/2-1/3,1/12=1/3x4=1/3-1/4.从上面的式子中你发现了什么?用找出的规律计算1/1x2+1/2x3+1/3x4+.....1/49x50观察下面的算是找出类似的规律,3/4+3/4x7+3/7x10+3/10x13 1/3+1/3x5+1/5x7+1/7x9+1/9x11](/uploads/image/z/5460251-59-1.jpg?t=1%2F2%3D1%2F2x1%3D1-1%2F2+%2C1%2F6%3D1%2F2x3%3D1%2F2-1%2F3%2C1%2F12%3D1%2F3x4%3D1%2F3-1%2F4.%E4%BB%8E%E4%B8%8A%E9%9D%A2%E7%9A%84%E5%BC%8F%E5%AD%90%E4%B8%AD%E4%BD%A0%E5%8F%91%E7%8E%B0%E4%BA%86%E4%BB%80%E4%B9%88%EF%BC%9F%E7%94%A8%E6%89%BE%E5%87%BA%E7%9A%84%E8%A7%84%E5%BE%8B%E8%AE%A1%E7%AE%971%2F1x2%2B1%2F2x3%2B1%2F3x4%2B.....1%2F49x50%E8%A7%82%E5%AF%9F%E4%B8%8B%E9%9D%A2%E7%9A%84%E7%AE%97%E6%98%AF%E6%89%BE%E5%87%BA%E7%B1%BB%E4%BC%BC%E7%9A%84%E8%A7%84%E5%BE%8B%EF%BC%8C3%2F4%2B3%2F4x7%2B3%2F7x10%2B3%2F10x13+1%2F3%2B1%2F3x5%2B1%2F5x7%2B1%2F7x9%2B1%2F9x11)
1/2=1/2x1=1-1/2 ,1/6=1/2x3=1/2-1/3,1/12=1/3x4=1/3-1/4.从上面的式子中你发现了什么?用找出的规律计算1/1x2+1/2x3+1/3x4+.....1/49x50观察下面的算是找出类似的规律,3/4+3/4x7+3/7x10+3/10x13 1/3+1/3x5+1/5x7+1/7x9+1/9x11
1/2=1/2x1=1-1/2 ,1/6=1/2x3=1/2-1/3,1/12=1/3x4=1/3-1/4.
从上面的式子中你发现了什么?
用找出的规律计算1/1x2+1/2x3+1/3x4+.....1/49x50
观察下面的算是找出类似的规律,
3/4+3/4x7+3/7x10+3/10x13 1/3+1/3x5+1/5x7+1/7x9+1/9x11
1/2=1/2x1=1-1/2 ,1/6=1/2x3=1/2-1/3,1/12=1/3x4=1/3-1/4.从上面的式子中你发现了什么?用找出的规律计算1/1x2+1/2x3+1/3x4+.....1/49x50观察下面的算是找出类似的规律,3/4+3/4x7+3/7x10+3/10x13 1/3+1/3x5+1/5x7+1/7x9+1/9x11
1/1x2+1/2x3+1/3x4+.1/49x50
=1-1/2+1/2-1/3+1/3-1/4++.1/49-1/50
=1-1/50
=49/50
3/4+3/4x7+3/7x10+3/10x13
=1-1/4+1/4-1/7+1/7-1/10+1/10-1/13
=1-1/13
=12/13
1/3+1/3x5+1/5x7+1/7x9+1/9x11
=1/2×(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)
=1/2×(1-1/11)
=5/11