计算题500道

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初一年级有理数计算题集
使用说明:本题集的制作初衷是为学生提供计算题目以便强化计算能力。
此题集共500道,1-445题为基本四则运算,建议每天做20道,如能保证答题准确率
在80%以上,说明计算能力比较过关。
446-500题为能力计算题目,涉及等差数列,等比数列,裂项等技巧,建议学完计算技
巧后再作题进行巩固。
要相信坚持总有回报,祝愿每位同学取得优异的成绩。
感谢学而思教研部老师的辛苦工作,由于时间有限,如有错漏之处,请批评指正。

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468.
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478.
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25
456. 原式
111111212312341234567
......
............
.



2221233478
.....
...
.
111111122233478
..
..........
..
.
1218
..
.....
..
74
.


457.
110
458. 原式
1111

1255881111141417
.....
.....



111111111113255881111141417
..
.............
..
1115321734
..
......
..

459. 原式
11111114133535572001200320032005
........
...............
..............
.



11110040034132003200512048045
..
......
....

460. 原式
791611111182901133557791331.2540.83
.
..
..
.......
..........



71111111461123357913123
.
..
..............
...
4631824429
....
23=
36

461. 原式 ..
1111112320261220420
..
.............
..
..



11111210122334452021
.......
.....
.
11111112101223342021
...........
12021012102121
....

462. 原式
1111120082009201020112012366991212151518
..........
.....



1111111201059122356
..
............
..
.
51005054
.

463. 原式
132537511726153577
....
.....



1111111112233557711
.........
11011111
...

464. 原式
11111111335577991111131315
.......
.......



11111111121323521315
......
................
......
.


1112115
..
.....
..
715
.

465. 原式
1111111126129900
........
.................
........
.



11199122399100
..
.......
.....
.
1111199122399100
..
..........
..
.
1991100
..
.....
..
198100
.

466. 原式
11111111121223233467787889
..........
....................
..................
.



1112128935144
..
.....
....
.

467.
494919800
468.
38625340032
469.
32009603
470. 原式
100100100100111...(...)
123234345991001012334100101
.........
...........



1111151100()()2422101002101101
.......

471. 原式
111111131232342343457898910
..
..........
..............
.



11131238910
..
.....
......
1192160
.

472. 原式
11111113[(...)]
3123234234345171819181920
.........
............



1131920111391231819201819206840
...
....
......

473. 原式
32343161232348910
...
....
......
.



1111283212323489101232348910
....
..............
................
..
111111111132212232334899102334910
....
..................
.............
..
31111111122129102334910
....
...............
......
.


3111122290210
....
..........
....
7114605
...
2315
.

474.
571719234345891091011
....
........
.



所以原式.
233491023434591011
...
....
......
.
111111342445351011911
.......
......
.
111111344510112435911
....
............
..........
..
11111111111111111344510112243546810911
....
.......................
....
..
11111113112210311
....
...........
....
8128332533
..
......
..
3155
.
31115565155
...

475. 原式
2222345121234523456345671011121314
.....
................
.



154264374101441234523456345671011121314
........
.....
................
.
111123434545611121344441234523456345671011121314
..
.......
..........
..
.......
..................
.
.
11111112233434451112121311111112342345234534561011121311121314
..
..........
........
..
.........
....................
.
.
111

112231213123411121314
....
.........
............
111112212132411121314
....
.....
1771811121314
.
..
...
11821114
..
..
11758308616
...

476. 原式
12349223234234523410
......
.........
.
.



21314110122323423410
....
.....
......
.
.
111111112223232342349234910
.........
...........
.
..
1362879912349103628800
...
.....

477. 原式
13141516171121231234123451234561234567
.....
......
.....................



111111121212312312341234567
.......
...............
.


11112121234567
...
........
115040
..
50395040
.

478. 原式
23991231234123100
....
.........
.
.



314110011231234123100
...
....
.........
.
.
11111112123123123412399123100
.......
................
.
..
1112123100
..
......
112100!
..

479. 原式=++++…+
213.
336.
4610.
51015.
5012251275.


=()+()+()+()=
11
.
13
13
.
16
16
.
110
11225
.
11275
12741275

480. ,,……,
2111(12)112
..
...
311(12)(123)12123
..
.......


,所以
原式
10011(1299)(12100)129912100
..
.................
1112100
..
....
15049150505050
...

481. 原式
234101()
133********
......
....
.



1111111113366104555
..
............
..
.
11155
..
.....
..
155
.

482. 原式
111111()()()()()()
24466881010121214
......
......



1111111111111()
244668810101212142
.............
1113()
214214
....

483. ,,……所以, 2111131(1)(1)
22222
.......2111241(1)(1)
33333
.......


原式
1324485022334949
........
1502524949
...

484. 原式
22222222222222222132438712233478
....
.....
....
.



2222222111111112233478
..........
2118
..
6364
.

485. 原式 2222222222111113151711993119951
..........
.....................
...............
.



222997244619941996
..
.......
.....
.
111111997244619941996
..
..........
..
.
1199721996
..
.....
..
9979971996
.

486. ,,,……由于,,,
2221310213
.
.
.
2222420318
.
.
.
22235344115
.
.
.
104233
.
204288
.
34421515
.


可见原式
222244442222213141991
.....
....
.
1111298413243598100
..
..........
......
.
111111111964123243598100
..
..............
..
.
11119621299100
..
........
..
199196329900
....
47511984950
.

487. 原式
22222222124610042141611001
..
........
......
.



222211111111142141611001
..
............
......
.
1111150413355799101
..
.........
......
.
111111111501423355799101
....
................
....
.
11150142101
....
.........
....
150504101
..
6312101
.

488.
56677889910111111113()...()
56677889910566791051010
.....
..............
.....
489. 原式==
36233445566736111111...
57233445566757233467
.....
...............
.....
4
490. 原式
13257111111213457845373857
.............111115......
491. 原式
12311111121133573445475667
.............



111121231

31113366555777444
........
.....................
........
334
.

492. 原式
11111111111111123303141317717430341431
..........
.........................
..........



11111112337434
.......
127
.


493. 原式
5791113153718612203042568
....
.............
....



11111111782334788
....
..............
....
.
1111788288
..
........
..
211110...

494. 原式
23344556677889910123344556677889910
........
.........
........



11111111111111111()()()()()()()()
23344556677889910
.................
11312105
....

495. 原式
111111112111453445355646
............



111124523456
........3.

496. 原式
1232341918192021919...217362123431819201912020
................
497. 原式=
2008111200711(...)(...)
200812007220062007120081200620061
.......
.....


=
=
=
=
=
2008111200711(...)(...)
200812007220062007120081200620061
.......
.....
1200820082008120072007(...)(...)
200812007220062007120081200620061
.......
.....
11111111111[(...)(...)]
20081200722006200711200620061
............
11111111111[(...)(...)]
20081200722006200711200620061
............
1111()
2008200720072015028
...

498. 原式
11111111124983599515299
......
..................
......
...
111111111224503549525498
......
..................
......
...
11111111124503549262749
......
.................
......
...
111111111122424352526284850
......
...................
......
...
11111111112424352513142450
......
..................
......
...
111111111112241235111416245025
......
....................
......
...
111111111112412351178125025
......
...................
......
...
1111111111224635810125025
......
.................
......



1111111111246354565025
......
................
......
11491502550
....
499. 原式
31517113133535735791113
....
.....
........
.
111111133535791133535791113
....
............
...............
..
1135791113
..
.....
135134135135
.
500.
所以原式
3411992222244221353571719211335355717191921
..........
............
..
892242213355717191921
......
.....
.
889122224221335171913355717191921
..
............
..........
..
921512133379192113399399
.
....
..







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