问题 解答题
观察下列各式,回答问题
1-
1
22
=
1
2
×
1
3
1-
1
32
=
2
3
×
4
3
1-
1
42
=
3
4
×
5
4
….
按上述规律填空:
(1)1-
1
1002
=______×______,1-
1
20052
=______×______.
(2)计算:(1-
1
22
)×(1-
1
32
)
…×(1-
1
20042
)×(1-
1
20052
)
答案

(1)1-

1
1002
=
99
100
×
101
100
1-
1
20052
=
2004
2005
×
2006
2005

(2)(1-

1
22
)×(1-
1
32
)…×(1-
1
20042
)×(1-
1
20052
)

=

1
2
×
3
2
×
2
3
×
4
3
×
2003
2004
×
2005
2004
×
2004
2005
×
2006
2005

=

1
2
×
2006
2005

=

1003
2005

故答案为:

99
100
101
100
2004
2005
2006
2005

单项选择题
单项选择题