配套习题- 基本不等式的恒成立问题 -【青果学院】

1/3单选题

难度：

1.已知函数f(x)=2x+

+1,对任意的x

1,+

), f(x)

0恒成立，则实数a的取值范围为

A	[-3,+
B	[-2,+
C	[-1,+
D	[-4,+

正确答案：QQ==

6Kej77ya55SxYTxpbWcgd2lkdGg9MTIgaGVpZ2h0PTIxIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvQUQvNjkvckJBQ0UxTS1pX0h6c2I1a0FBQUE5d1prSDhVNTU3LnBuZyI+LTI8aW1nIHdpZHRoPTE3IGhlaWdodD0yMSBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzhBL0VGL3JCQUNGRk0taV9TUlF4ZnpBQUFCUkNvRDRXTTUwNS5wbmciPi14LDxicj7orrBnKHgpPSAtMjxpbWcgd2lkdGg9MTcgaGVpZ2h0PTIxIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvOEEvRUYvckJBQ0ZGTS1pX1NSUXhmekFBQUJSQ29ENFdNNTA1LnBuZyI+LXgsPGJyPuWImWcoeCk8c3ViPm1heDwvc3ViPiA9ZygxKT0tMw==

2/3单选题

难度：

2.已知函数f(x)=2x+

+1,对任意的x

1,+

),f(x)的值域是[0，+

, 则实数a的取值范围是

A	[-3,+
B	{-3}
C	[-1,+
D	[-4,+

正确答案：Qg==

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

3/3单选题

难度：

3.若对任意x

(0,1),恒有2

+(a+1)x-a(a-1)<0, 则实数a的取值范围为

A
B
C	0a
D	-1a3

正确答案：Qg==

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