题目内容
| 1+3+5+7+…+99 |
| 2+4+6+8+…+100 |
分子=(1+99)×[(99-1)÷2+1]÷2
=100×[98÷2+1]÷2,
=100×[49+1]÷2,
=100×50÷2,
=2500;
分母=(100+2)×[(100-2)÷2+1]÷2,
=102×[98÷2+1]÷2,
=102×[49+1]÷2,
=102×50÷2,
=2550;
原式=
=
.
=100×[98÷2+1]÷2,
=100×[49+1]÷2,
=100×50÷2,
=2500;
分母=(100+2)×[(100-2)÷2+1]÷2,
=102×[98÷2+1]÷2,
=102×[49+1]÷2,
=102×50÷2,
=2550;
原式=
| 2500 |
| 2550 |
| 50 |
| 51 |
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