> 数学 >
(
1
11
+
1
21
+
1
31
+
1
41
)×(
1
21
+
1
31
+
1
41
+
1
51
)−(
1
11
+
1
21
+
1
31
+
1
41
+
1
51
 (
1
21
+
1
31
+
1
41
)
人气:350 ℃ 时间:2019-08-20 11:56:34
解答
1
11
+
1
21
+
1
31
+
1
41
=a,
1
21
+
1
31
+
1
41
=b,
则原式=a×(b+
1
51
)-(a+
1
51
)×b
=ab+
1
51
a-ab-
1
51
b
=
1
51
×(a-b)
=
1
51
×[(
1
11
+
1
21
+
1
31
+
1
41
)-(
1
21
+
1
31
+
1
41
)]
=
1
51
×
1
11

=
1
561
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