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【多选题】
设 在 上可导,且 ,且存在 ,使 . 则下列叙述正确的是( )
A.
至少存在一点 使得 ,其中 是任意常数;
B.
在 内取得最大值和最小值;
C.
在 内至少存在一点 ,使 ;
D.
在 上单调增加,在 上单调减少;
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