初一年级有理数计算题集

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。1. 6(11)55 3 2 42. 5(22)55547 5 7 12 33. 0.824.8(2)2.230.8911 7 7 114. (1

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248.2249.11.04216.6

250.7217.1218.201325219.0

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334.8.53335.4336.1337.7338.3

366.835367.0368.572339.7339.73340.0370.111341.7371.16312.13313.35314.6999315.1999316.458

16342.0343.8344.413345.4149346.312

372.5373.314374.1191375.2376.56158317.3115318.8319.45

347.91348.82

377.1143378.-104.272379.900320.28

349.25350.38.1

380.199000381.0382.1学而思初中优秀教学体系学而思初中优秀教学体系有理数计算PAGE57有理数计算PAGE57有理数计算PAGE58有理数计算PAGE58383.0384.25125385.204386.1387.2536189388.8320073389.2390.0391.389732611392.20200393.101394.2395.24755

409.9410.17411.1524412.213413.23414.10415.5416.1312417.17155418.217419.4420.9421.12

435.7213441436.8437.54438.596439.3440.8441.1442.24502443.1005999444.200976445.7446.56447.1396.4

422.1 12397.482

423.

118

448.715398.25399.125400.2401.0125402.3403.08430.50405.8430.50405.25431.3091432.1406.2433.14.5407.3085434.

424.58425.3619426.49427.32.8428.16429.34

449.199101450.50101451.12452.152132453.12454.2849455.25408.13 11456.原式11 1 1 112 123 1234 1234567122223 34 782 3 3 4 7 8211111112 3 3 4 7 8 2117 8 4 457.110458.原式

11 1 1 125 58 8111114 1417 11111111111 32 5 5 8 8 111114 14 17 1115 32 17 34 5.原式11 1 5.原式 413 3535 57 1

1 1004003413 20032005 1204804579161460.原式18 2 90 1111 3

31.254

13 35 57 79714 6111111113112 2

3 3 5 7 9 346318=2324 4 29 36 461.原式232011111 2 6 12 20 4201111 112 23 34 45 2021210111111112 2 3 3 4 20 21210112102021 21462.原式11 1 1 136 69 912 1215 1518 201051111111 910050554

1 2 2 3 5 6463.原6 15 35 771111111112 2 3 3 5 5 7 7 11111011 11464.原式1111 1 1 113 35 57 79 9111113131511111111121 3 23 5 213 15 学而思初中优秀教学体系学而思初中优秀教学体系有理数计算PAGE59有理数计算PAGE59有理数计算PAGE60有理数计算PAGE60 1117 2115 15465.原式1111111 1 2

6

12

9900 9911 1 12 23 9910099111111 2 2 3 99 100 9911 10098

1466原式111111111 212 2323 34 67 78 111 212 8935467.468.340032469.32009603470原式

100

...

100

(11

... 1 )123 234 345 99100101 23 34 1011(1 1 )(11)24512 2 2 471.原式1 1

1

1 1 3123 234 234 345 789 8910 1 1 1 3 123 8910

2160472.原式3[1( 1 1 1 1 ... 1 1 )]3 123 234 234 345 171819 181920 1 1 319201123181920 181920 473.原式3234 316123 234 8910 3 1 1 1 2 1 2 8 123 234 8910 123 234 8910 3111

1

1 21

1 212 23 23 34 89 910 23 34 910 31 1 2111111 212 910 2 3 3 4 9 10 3

1211

71

2322 90 2 10

4 60 5 15474.

7 17 19234 345 8910 910112334 910234 345 91011

11

1 134 24 45 35 1011 91111

1

1 1 34 45 101124 35 9 111111111111111113 4 4 5 10 11 22 4 3 5 4 6 8 10 9 11 11111

11

812

831311 22 10 311 33 25 33 55 所以原式115531651．55

52

122475

12345 23456 3456

1011121314154 264 374 10144 12345 23456 34567 1011121314

1

1 234 345 456 111213 4 4 4 4 12345 23456 34567 10111213141111

1 1 223 34 34 45 1112 1213 1 1

1

1 1234 2345 2345 3456 1011121311121314 11

1 1 1 22312131234 1112 1

1 1

1

771

1 112 21213 24 11121314

811121314

8 2111411758 308 616476.原式12 3 4 92 23 234 2345 23410213141101 2