(3+30÷30+3)-(2×19÷2×19)913+9913+99913+999913+22312012+22012+32012+02012+…+20112012+20122012.-数学

题目简介

(3+30÷30+3)-(2×19÷2×19)913+9913+99913+999913+22312012+22012+32012+02012+…+20112012+20122012.-数学

题目详情

(3+
3
0
÷
3
0
+3)-(2×
1
9
÷2×
1
9
)

9
1
3
+99
1
3
+999
1
3
+9999
1
3
+2
2
3

1
2012
+
2
2012
+
3
2012
+
0
2012
+…+
2011
2012
+
2012
2012
题型:解答题难度:中档来源:不详

答案

(v)(n+class="stub"n
4
÷class="stub"n
4
+n)-(7×class="stub"v
6
÷7×class="stub"v
6
)

=(n+v+n)-(7×class="stub"v
6
×class="stub"v
7
×class="stub"v
6
),
=7-class="stub"v
n6

=6class="stub"n九
n6


(2)4class="stub"v
n
+44class="stub"v
n
+444class="stub"v
n
+4444class="stub"v
n
+2class="stub"2
n

=v0-class="stub"2
n
+v00-class="stub"2
n
+v000-class="stub"2
n
+v0000-class="stub"2
n
+2class="stub"2
n

=v0+v00+v000+v0000+2class="stub"2
n
-class="stub"2
n
-class="stub"2
n
-class="stub"2
n
-class="stub"2
n

=vvvv0+0,
=vvvv0;

class="stub"v
20v2
+class="stub"2
20v2
+class="stub"n
20v2
+class="stub"4
20v2
+…+class="stub"20vv
20v2
+class="stub"20v2
20v2

=class="stub"v+2+…+20v2
20v2

=
(v+20v2)×20v2÷2
20v2

=v006.九.

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