题目内容
某林场现有木材30000
,如果每年平均增长5﹪,经过
年,树林中有木材![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339027310.png)
,
(1)写出木材储量
(
)与
之间的函数关系式。
(2)经过多少年储量不少于60000
?(结果保留一个有效数字)
(参考数据:
,
)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030338996400.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339012266.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339027310.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030338996400.png)
(1)写出木材储量
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339027310.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030338996400.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339012266.png)
(2)经过多少年储量不少于60000
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030338996400.png)
(参考数据:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339152577.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339168647.png)
(1)
;(2)15
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408240303391991068.png)
试题分析:(1)这是一个平均增长率问题,如果木材的原有量是
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339214283.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339230398.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339246313.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339261674.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339230398.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339495892.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339230398.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339511297.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339526600.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339230398.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339573854.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339012266.png)
试题解析:(1)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408240303391991068.png)
(2)由题意可得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339573854.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339636684.png)
两边取对数得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030339651761.png)
答:经过15年木材储量可达60000
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824030338996400.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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