1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024
=1-1/1024
=1023/1024还是不懂怎么解的？请指教简单的说：1/2+1/4=3/4=1-1/41/2+1/4+1/8=7/8=1-1/8……所以1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024 =1-1/1024=1023/1024