题目内容
观察下列各式,回答问题
1-
=
×
,1-
=
×
,1-
=
×
….
按上述规律填空:
(1)1-
=______×______,1-
=______×______.
(2)计算:(1-
)×(1-
)…×(1-
)×(1-
).
1-
1 |
22 |
1 |
2 |
1 |
3 |
1 |
32 |
2 |
3 |
4 |
3 |
1 |
42 |
3 |
4 |
5 |
4 |
按上述规律填空:
(1)1-
1 |
1002 |
1 |
20052 |
(2)计算:(1-
1 |
22 |
1 |
32 |
1 |
20042 |
1 |
20052 |
(1)1-
=
×
,1-
=
×
.
(2)(1-
)×(1-
)…×(1-
)×(1-
)
=
×
×
×
×
×
×
×
=
×
.
=
.
故答案为:
,
;
,
.
1 |
1002 |
99 |
100 |
101 |
100 |
1 |
20052 |
2004 |
2005 |
2006 |
2005 |
(2)(1-
1 |
22 |
1 |
32 |
1 |
20042 |
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 |
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