(1+12)×(1-12)×(1+13)×(1-13)×…×(1+110)×(1-110)-五年级数学

题目简介

(1+12)×(1-12)×(1+13)×(1-13)×…×(1+110)×(1-110)-五年级数学

题目详情

(1+
1
2
)×(1-
1
2
)×(1+
1
3
)×(1-
1
3
)×…×(1+
1
10
)×(1-
1
10
题型:解答题难度:中档来源:不详

答案

(1+class="stub"1
2
)×(1-class="stub"1
2
)×(1+class="stub"1
3
)×(1-class="stub"1
3
)×…×(1+class="stub"1
10
)×(1-class="stub"1
10

=(1-class="stub"1
2
)×(1+class="stub"1
2
)×(1-class="stub"1
3
)×(1+class="stub"1
3
)×…×(1-class="stub"1
10
)×(1+class="stub"1
10
),
=class="stub"1
2
×(class="stub"3
2
×class="stub"2
3
×class="stub"4
3
×class="stub"3
4
×…×class="stub"9
10
)×class="stub"11
10

=class="stub"1
2
×1×class="stub"11
10

=class="stub"11
20

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