题目计算：本题如果按常规的方法进行通分计算，显然很繁琐．考虑用其他非常规方法，可得如下巧解．分析1观察题目特征，可发现分子都是1，而分母都是2的方幂，于是我们联想起做过的题目：这个题目是巧用“1＝（n＋1）－n”，通过分拆各项后相互抵消来计算的，即于是我们猜想原 Topic calculation: If this question is calculated by conventional methods, it is obviously very tedious. Consider using other unconventional methods, you can get the following solution. Analyze 1 Observe the characteristics of the subject and find that the numerator is 1 and the denominator is a power of 2, so we reminisce about the topic we made: This topic is clever use of “1=(n+1)-n”, by splitting each After the terms are offset by each other to calculate, that is, we guess the original