题目内容
(1-
)×(1-
)×…×(1-
).
| 1 |
| 2×2 |
| 1 |
| 3×3 |
| 1 |
| 10×10 |
(1-
)×(1-
)×…×(1-
),
=
×
×…×
,
=
×
×…×
,
=
×
×…×
,
=…,
=
.
或者:原式=[(1+
)×(1-
)]×[(1+
)×(1-
)]×[(1+
)×(1-
)]×…×[(1+
)×(1-
)],
=
×
×
×
×
×
×…×
×
,
=
.
| 1 |
| 2×2 |
| 1 |
| 3×3 |
| 1 |
| 10×10 |
=
| 3 |
| 4 |
| 8 |
| 9 |
| 99 |
| 100 |
=
| 4 |
| 6 |
| 15 |
| 16 |
| 99 |
| 100 |
=
| 5 |
| 8 |
| 24 |
| 25 |
| 99 |
| 100 |
=…,
=
| 11 |
| 20 |
或者:原式=[(1+
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 4 |
| 1 |
| 10 |
| 1 |
| 10 |
=
| 3 |
| 2 |
| 1 |
| 2 |
| 4 |
| 3 |
| 2 |
| 3 |
| 5 |
| 4 |
| 3 |
| 4 |
| 11 |
| 10 |
| 9 |
| 10 |
=
| 11 |
| 20 |
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