配套习题- 利用导数求参数的取值范围 -【青果学院】

1/4单选题

难度：

1.

已知函数在区间[-1，3]上是减函数，则b的最小值是（）

A	1
B	2
C	3
D	4

正确答案：Qw==

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

2/4单选题

难度：

2.

函数在(0，1)内存在极小值，则下列关系成立的是（）

A	b＞0
B	0＜b＜1
C	b＜1
D	0＜b＜

正确答案：Qg==

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

3/4单选题

难度：

3.

已知函数其中为常数，为自然对数的底数，若在上为减函数，则的取值范围为（）

A
B
C
D

正确答案：Qg==

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

4/4单选题

难度：

4.

如果函数在区间上为减函数，在上为增函数，则实数的取值范围是（）

A
B
C
D

正确答案：Qg==

PHA+6Kej77ya4oi15Ye95pWwPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzczLzM0L3JCQUNFMVRJdktUelRZRC1BQUFEamVFQ00zYzE0My5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNzMvMzQvckJBQ0UxVEl2S1R6VFlELUFBQURqZUVDTTNjMTQzLnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjIwOSI+PGJyPuKItDxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9BQS80Qy9yQkFDRkZUSXZLVHotSUdmQUFBRkl5RXEzN0E0MDgucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0FBLzRDL3JCQUNGRlRJdktUei1JR2ZBQUFGSXlFcTM3QTQwOC5wbmciIGhlaWdodD0iNDIiIHdpZHRoPSI0NDMiPjxicj7lj4jiiLXlh73mlbA8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNzMvMzQvckJBQ0UxVEl2STN3MWJTQ0FBQUJpd0pLV3prNDk3LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC83My8zNC9yQkFDRTFUSXZJM3cxYlNDQUFBQml3SktXems0OTcucG5nIiBoZWlnaHQ9IjIxIiB3aWR0aD0iMjgiPuWMuumXtDxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8zRS9GRS9yQkFDSjFUSXZLU2pQR0tiQUFBQmVVcTAyLWMxMDgucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzNFL0ZFL3JCQUNKMVRJdktTalBHS2JBQUFCZVVxMDItYzEwOC5wbmciIGhlaWdodD0iNDIiIHdpZHRoPSI2NiI+5LiK5Li65YeP5Ye95pWw77yM5ZyoPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzNFL0JGL3JCQUNKbFRJdktUemdYVDRBQUFCMjJ6dEJvczkzMS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvM0UvQkYvckJBQ0psVEl2S1R6Z1hUNEFBQUIyMnp0Qm9zOTMxLnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjkwIj7kuIrkuLrlop7lh73mlbDvvIw8YnI+4oi0PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzczLzM0L3JCQUNFMVRJdktUUXZIMW1BQUFCLWo2NEplVTkxMS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNzMvMzQvckJBQ0UxVEl2S1RRdkgxbUFBQUItajY0SmVVOTExLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9Ijk3Ij48YnI+PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzNFL0ZFL3JCQUNKMVRJdktTeVE3NmZBQUFCdW1yQ0xYQTI2My5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvM0UvRkUvckJBQ0oxVEl2S1N5UTc2ZkFBQUJ1bXJDTFhBMjYzLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjgxIj7mlYXpgIlC77yOPC9wPg==