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11×22+22×33+33×44+…+77×88+88×99=______.
人气:349 ℃ 时间:2020-01-27 09:26:41
解答
11×22+22×33+33×44+…+77×88+88×99,
=11×11×2+11×2×11×3+11×3×11×4+…+11×7×11×8+11×8×11×9,
=11×11×(1×2+2×3+3×4+4×5+5×6+6×7+7×8+8×9),
=121×(2+6+12+20+30+42+56+72),
=121×240,
=29040;
故答案为:29040.
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