10的平方到30的平方的规律
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10^2 = 100
11^2 = 121
12^2 = 144 = (12 + 2) * (12 - 2) + 2 * 2 = 14 * 10 + 4
13^2 = 169 = 16 * 10 + 9
14^2 = 196 = 18 * 10 + 16
15^2 = 225 = 1 * (1 + 1) * 100 + 25
16^2 = 256 = (16 + 4) * (16 - 4) + 4 * 4 = 20 * 12 + 16
17^2 = 289 = 20 * 14 + 9
18^2 = 324 = 20 * 16 + 4
19^2 = 361 = 20 * 18 + 1
20^2 = 400
21^2 = 441 = 20 * 22 + 1 12^2 = 144
22^2 = 484 = 20 * 24 + 4
23^2 = 529 = 20 * 26 + 9
咨询记录 · 回答于2022-02-19
10的平方到30的平方的规律
10^2 = 10011^2 = 12112^2 = 144 = (12 + 2) * (12 - 2) + 2 * 2 = 14 * 10 + 413^2 = 169 = 16 * 10 + 914^2 = 196 = 18 * 10 + 1615^2 = 225 = 1 * (1 + 1) * 100 + 2516^2 = 256 = (16 + 4) * (16 - 4) + 4 * 4 = 20 * 12 + 1617^2 = 289 = 20 * 14 + 918^2 = 324 = 20 * 16 + 419^2 = 361 = 20 * 18 + 120^2 = 40021^2 = 441 = 20 * 22 + 1 12^2 = 14422^2 = 484 = 20 * 24 + 423^2 = 529 = 20 * 26 + 9
25^2 = 625 = 2 * (2 + 1) * 100 + 2526^2 = 676 = (26 + 4) * (26 - 4) + 4 * 4 = 30 * 22 + 1627^2 = 729 = 30 * 24 + 928^2 = 784 = 30 * 26 + 429^2 = 841 = 30 * 28 + 130^2 = 900
1平方到2的平方加三，2的平方到3的平方加五，它的平方到4的平方加七。每回多二。以此类推。
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