题目内容
| 2 |
| 3 | 2 |
| 5 | 4 |
| 8 | 8 |
| 9 | 16 |
| 3 | 2 |
| 8 | 8 |
| 5 | 4 |
| 9 | 16 |
| 2 |
| 3 | 2 |
| 8 | 8 |
| 5 | 4 |
| 9 | 16 |
| 2 |
分析:利用指数函数y=2x在区间(0,+∞)上的单调性即可比较出其大小.
解答:解:∵
=2
,
=2
,
=2
,
=2
,
=2
,
<
<
<
<
,
又∵y=2x在区间(0,+∞)单调递增,
∴2
<2
<2
<2
<2
,
∴
,
,
,
,
,从小到大的排列顺序是
,
,
,
,
.
故答案为
,
,
,
,
.
| 2 |
| 1 |
| 2 |
| 3 | 2 |
| 1 |
| 3 |
| 5 | 4 |
| 2 |
| 5 |
| 8 | 8 |
| 3 |
| 8 |
| 9 | 16 |
| 4 |
| 9 |
| 1 |
| 3 |
| 3 |
| 8 |
| 2 |
| 5 |
| 4 |
| 9 |
| 1 |
| 2 |
又∵y=2x在区间(0,+∞)单调递增,
∴2
| 1 |
| 3 |
| 3 |
| 8 |
| 2 |
| 5 |
| 4 |
| 9 |
| 1 |
| 2 |
∴
| 2 |
| 3 | 2 |
| 5 | 4 |
| 8 | 8 |
| 9 | 16 |
| 3 | 2 |
| 8 | 8 |
| 5 | 4 |
| 9 | 16 |
| 2 |
故答案为
| 3 | 2 |
| 8 | 8 |
| 5 | 4 |
| 9 | 16 |
| 2 |
点评:熟练掌握指数函数的单调性是解题的关键.
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