问题详情

观察下列各式的计算结果
1-1

22

=1-1

4

=3

4

=1

2

×3

2

1-1

32

=1-1

9

=8

9

=2

3

×4

3

1-1

42

=1-1

16

=15

16

=3

4

×5

4

1-1

52

=1-1

25

=24

25

=4

5

×6

5

…
(1)用你发现的规律填写下列式子的结果：
1-1

62

=______×______
1-1

1002

=______×______
(2)用你发现的规律计算：
(1-1

22

)×(1-1

32

)×(1-1

42

)×…×(1-1

20122

)×(1-1

20132

)．