51届金马奖完整版优酷:小学数学计算 要简算 急!!!!!!!!!!!

(4/1*2*3*4+1/1*2*3*4)+(6/3*4*5*6+3/3*4*5*6)+……+(100/97*98*99*100+97/97*98*99*100)+1/99*100*101
=1/2(1/1*2-1/3*4)+1/2(1/3*4-1/5*6)+……+1/2（1/97*98-1/99*100）+1/99*100*101
=1/2（1/1*2-1/3*4+1/3*4-1/5*6+……+1/97*98-1/99*100）+1/99*100*101
=1/2（1/1*2-1/99*100）+1/99*100*101
=1/4-1/99*100*2+1/99*100*101
=1/4-101/99*100*2*101+2/99*100*2*101
=1/4-99/99*100*2*101
=1/4-1/100*101*2
=50*101/200*101-1/200*101
=50*101-1/200*101
=5049/20200

4/1*2*3*4+1/1*2*3*4)+(6/3*4*5*6+3/3*4*5*6)+……+(100/97*98*99*100+97/97*98*99*100)+1/99*100*101
=1/2(1/1*2-1/3*4)+1/2(1/3*4-1/5*6)+……+1/2（1/97*98-1/99*100）+1/99*100*101
=1/2（1/1*2-1/3*4+1/3*4-1/5*6+……+1/97*98-1/99*100）+1/99*100*101
=1/2（1/1*2-1/99*100）+1/99*100*101
=1/4-1/99*100*2+1/99*100*101
=1/4-101/99*100*2*101+2/99*100*2*101
=1/4-99/99*100*2*101
=1/4-1/100*101*2
=50*101/200*101-1/200*101
=50*101-1/200*101
=5049/20200
有窍门的!1/1*2*3=0.5*<1/1*2-1/2*3>
1/2*3*4=0.5*<1/2*3-1/3*4>
最后是0.5*<1/1*2-1/100*101>结果是5049/20200

原式=（1/1*2-1/2*3+1/2*3-......+1/99*100-1/100*101）*1/2
=（1/2-1/10100）*1/2
=5049/10100*1/2
=5049/20200

有窍门的!1/1*2*3=0.5*<1/1*2-1/2*3>
1/2*3*4=0.5*<1/2*3-1/3*4>
最后是0.5*<1/1*2-1/100*101>结果是5049/20200

有窍门的!1/1*2*3=0.5*<1/1*2-1/2*3>
1/2*3*4=0.5*<1/2*3-1/3*4>
最后是0.5*<1/1*2-1/100*101>结果是5049/20200