25.6×0.72+0.744×72;                         
1
2
+
1
6
+
1
12
+
1
20
+…+
1
380
分析:(1)可將25.6×0.72變?yōu)?.256×72后根據(jù)乘法分配律計(jì)算.
(2)由可將原式變?yōu)?span id="lzvz7hn" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal">
1
1×2
+
1
2×3
+
1
3×4
+…+
1
19×20
后,根據(jù)根據(jù)巧算公式:
1
n×(n+1)
=
1
n
-
1
n+1
計(jì)算.
解答:解:(1)25.6×0.72+0.744×72
=0.256×72+0.744×72
=(0.256+0.744)×72
=1×72
=72;

(2)
1
2
+
1
6
+
1
12
+
1
20
+…+
1
380

=
1
1×2
+
1
2×3
+
1
3×4
+…+
1
19×20

=1-
1
2
+
1
2
-
1
3
+
1
3
-
1
4
+…+
1
19
-
1
20

=1-
1
20

=
19
20
點(diǎn)評(píng):巧算公式:
1
n×(n+1)
=
1
n
-
1
n+1
在分?jǐn)?shù)的巧算中經(jīng)常用到,用熟練運(yùn)用.
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