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(1+12)×(1-12)×(1+13)×(1-13)×…×(1+199)×(1-199)×(1-12)×(1+13)×(1-13)×…×(1+199)×(1-199)=.
题目详情
(1+
)×(1-
)×(1+
)×(1-
)×…×(1+
)×(1-
)×(1-
)×(1+
)×(1-
)×…×(1+
)×(1-
)= ___ .
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1 |
2 |
1 |
3 |
1 |
3 |
1 |
99 |
1 |
99 |
1 |
2 |
1 |
3 |
1 |
3 |
1 |
99 |
1 |
99 |
▼优质解答
答案和解析
(1+
)×(1-
)×(1+
)×(1-
)×…×(1+
)(1-
),
=(1-
)×(1+
)×(1-
)×(1+
)×…×(1-
)(1+
),
=
×
×
×
×…×
×
,
=
×
,
=
.
1 |
2 |
1 |
2 |
1 |
3 |
1 |
3 |
1 |
99 |
1 |
99 |
=(1-
1 |
2 |
1 |
2 |
1 |
3 |
1 |
3 |
1 |
99 |
1 |
99 |
=
1 |
2 |
3 |
2 |
2 |
3 |
4 |
3 |
98 |
99 |
100 |
99 |
=
1 |
2 |
100 |
99 |
=
50 |
99 |
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