A-A+

(11()+1()=512;(21()+1()+1()=1318;(312+16+112+1

2022-08-14 00:43:28 问答库 阅读 200 次

问题详情

(11

()

+1

()

=5

12


(21

()

+1

()

+1

()

=13

18


(31

2

+1

6

+1

12

+1

20

+1

30

+1

42

+1

56

=______;
(4求+10

100

+10

101

+10

102

…+10

110

的整数部分是______.

参考答案

(1)12的因数有:1,2,3,4,6,12,
因2+3=5,所以512=212+312=16+14
因1+4=5,所以512=112+412=112+13

(2)18的因数有:1,2,3,6,9,18,
因13=1+3+9,所以1318=118+318+918=118+16+12

(3)12+16+112+120+130+142+156
=12+(12-13)+(13-14)+(14-15)+(15-16)+(16-17)+(17-18),
=12+12-13+13-14+14-15+15-16+16-17+17-18
=1-18
=78

(4)10110×1110100+10101+10102…+1011010100×11
1<10100+10101+10102…+10110<1.1.
所以它的整数部分是1.
故答案为:6(或12),4(或3),18,6,2,78,1.

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