题目内容

设函数有正的极大值和负的极小值,其差为4,

(1)求实数的值;

(2)求的取值范围.

(1)(2)


解析:

(1)

                   令            得                               (2分)

                       (4分)

                                                                                                                                (6分)

(2)当时,

+

0

0

+

得:                                                  (8分)

          得:                                                                                 (9分)

同理当时,

+

0

0

+

得:                                                                                     (11分)

得                                                                                                           (12分)

得:时,得(14分)(结论2分)

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