题目内容
探索规律
(1)6,7,9,13,21,______.
(2)
,
,
,
,
,______,______.
(3)观察一组等式:42-22=(4+2)×(4-2),62-32=(6+3)×(6-3),92-52=(9+5)×(9-5)…那么,20102-20082=______,a2-b2=______.
(1)6,7,9,13,21,______.
(2)
| 1 |
| 2 |
| 3 |
| 4 |
| 5 |
| 8 |
| 7 |
| 16 |
| 9 |
| 32 |
(3)观察一组等式:42-22=(4+2)×(4-2),62-32=(6+3)×(6-3),92-52=(9+5)×(9-5)…那么,20102-20082=______,a2-b2=______.
(1)21+16=37,
(2)①9+2=11,
32×2=64,
所以要填的数是:
,
②11+2=13,
64×2=128,
所以要填的数是:
,
(3)①20102-20082,
=(2010+2008)×(2010-2008),
②a2-b2,
=(a+b)×(a-b);
故答案为:37;
,
;(2010+2008)×(2010-2008),(a+b)×(a-b).
(2)①9+2=11,
32×2=64,
所以要填的数是:
| 11 |
| 64 |
②11+2=13,
64×2=128,
所以要填的数是:
| 13 |
| 128 |
(3)①20102-20082,
=(2010+2008)×(2010-2008),
②a2-b2,
=(a+b)×(a-b);
故答案为:37;
| 11 |
| 64 |
| 13 |
| 128 |
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