> 数学 >
(1+
1
51
)×(1-
1
51
)×(1+
1
52
)(1-
1
52
)×…×(1+
1
152
)×(1−
1
152
)
=______.
人气:396 ℃ 时间:2019-12-01 13:25:53
解答
(1+
1
51
)×(1-
1
51
)×(1+
1
52
)(1-
1
52
)×…×(1+
1
152
)×(1−
1
152
)

=
52
51
×
50
51
×
53
52
×
51
52
×
54
53
×
52
53
…×
153
152
×
151
152

=
50
51
×
52
51
×
51
52
×
53
52
×
52
53
×
54
53
…×
151
152
×
153
152

=
50
51
×
153
152

=
7650
7752

=
75
76
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