2

1

2

+4

1

4

+8

1

8

+…+1024

1

1024

=（2+4+8+…+1024）+（

1

2

+

1

4

+

1

8

+…+

1

1024

）

=（2¹+2²+…+2¹⁰）+[

1

2

+(

1

2

)2+…+(

1

2

)10]

=

2(1-210)

1-2

+

1 2 [1-( 1 2 )10]

1- 1 2

=2¹¹-2+1-(

1

2

)10

=2046+

210-1

210

=2046+

1023

1024

=2046

1023

1024

．

故选A．