(1+12)(1+14)(1+16)…(1+110)(1-13)(1-15)…(1-19).-数学

题目简介

(1+12)(1+14)(1+16)…(1+110)(1-13)(1-15)…(1-19).-数学

题目详情

(1+
1
2
)(1+
1
4
)(1+
1
6
)…(1+
1
10
)(1-
1
3
)(1-
1
5
)…(1-
1
9
).
题型:解答题难度:中档来源:不详

答案

(1+class="stub"1
2
)(1+class="stub"1
4
)(1+class="stub"1
6
)…(1+class="stub"1
10
)(1-class="stub"1
3
)(1-class="stub"1
5
)…(1-class="stub"1
9
),
═[(1+class="stub"1
2
)(1-class="stub"1
3
)][(1+class="stub"1
4
)(1-class="stub"1
5
)]…[(1+class="stub"1
8
)(1-class="stub"1
9
)](1+class="stub"1
10

=1×1×…×1×class="stub"11
10

=class="stub"11
10

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