题目内容
【题目】已知函数
,
是函数
的导函数,则
的图象大致是( )
A. [Failed to download image : http://qbm-images.oss-cn-hangzhou.aliyuncs.com/QBM/2018/4/12/1922378615128064/1923439395356672/STEM/8f50d3dfba9b485fac00e42a95909498.png] B. [Failed to download image : http://qbm-images.oss-cn-hangzhou.aliyuncs.com/QBM/2018/4/12/1922378615128064/1923439395356672/STEM/74ae44978a70424c961e850ed79072da.png]
C. [Failed to download image : http://qbm-images.oss-cn-hangzhou.aliyuncs.com/QBM/2018/4/12/1922378615128064/1923439395356672/STEM/2f113f7ec5294ba0bbd1f66b13f3e152.png] D. [Failed to download image : http://qbm-images.oss-cn-hangzhou.aliyuncs.com/QBM/2018/4/12/1922378615128064/1923439395356672/STEM/dbaa9025ccdb497380b769e5396c4c19.png]
【答案】A
【解析】由于f(x)=
,
∴
=
x﹣sinx,
∴
=﹣
,故
为奇函数,其图象关于原点对称,排除B、D,
又当x=
时,
=
﹣sin
=
﹣1<0,排除C,只有A适合,
故选:A.