【答案】
分析:依題意,由對(duì)數(shù)函數(shù)與指數(shù)函數(shù)的性質(zhì)可求得a<0,b>1,
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124512918116179/SYS201310251245129181161004_DA/0.png)
<c<1,從而可得答案.
解答:解:∵x∈(e
-1,1),a=lnx
∴a∈(-1,0),即a<0;
又y=
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124512918116179/SYS201310251245129181161004_DA/1.png)
為減函數(shù),
∴b=
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124512918116179/SYS201310251245129181161004_DA/2.png)
>
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124512918116179/SYS201310251245129181161004_DA/3.png)
=
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131025124512918116179/SYS201310251245129181161004_DA/4.png)
=1,即b>1;
又c=e
lnx=x∈(e
-1,1),
∴b>c>a.
故選B.
點(diǎn)評(píng):本題考查有理數(shù)指數(shù)冪的化簡(jiǎn)求值,考查對(duì)數(shù)值大小的比較,掌握對(duì)數(shù)函數(shù)與指數(shù)函數(shù)的性質(zhì)是關(guān)鍵,屬于中檔題.