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[不等式] 高三文科不等式填空题(欢迎补充)

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realnumber posted 2014-4-30 20:05 |Read mode
Last edited by realnumber 2014-5-13 21:00(2014宁波十校)1.正实数a,b满足$2a+b=1$,则$4a^2+b^2+\frac{1}{ab}$的最小值为______.
只留着给学生做啊.老师等不动手.

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original poster realnumber posted 2014-5-4 08:38
已知正数$x,y$满足$x+y+\frac{1}{x}+\frac{9}{y}=10$,则$x+y$的最大值为_____.

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original poster realnumber posted 2014-5-4 08:42
这个居然是文科的
3.已知a<2,a≠0,则$\frac{1}{\abs{a}}+\frac{\abs{a}}{2-a}$的最小值是_______.

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第一章 posted 2014-5-4 11:48
这些题都是文科的?宁波对不等式的要求很高吗?
如果在广东,估计难死一大片

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original poster realnumber posted 2014-5-4 12:01
回复 4# 第一章
浙江的,浙江卷就这个难度.

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original poster realnumber posted 2014-5-13 20:55
x,y为实数,满足$(x+y-1)(x-y+1)\ge0$且$x\in [-1,1]$,则x+y的最大值是_____.

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original poster realnumber posted 2014-5-13 20:58
不等式$2x^2-axy+y^2\le0$对于任意$x\in [1,2]$及$y\in [1,3]$恒成立,则实数$a$的取值范围是________.

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其妙 posted 2014-5-13 22:56
已知正数$x,y$满足$x+y+\frac{1}{x}+\frac{9}{y}=10$,则$x+y$的最大值为_____.
realnumber 发表于 2014-5-4 08:38
我给答案链接:blog.sina.com.cn/s/blog_54df069f0101ivkq.html

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original poster realnumber posted 2014-5-15 13:15
真的是有些疯了,样子很...
冲刺四月卷,浙江文,
10.已知实数$a,b$满足$3^a+13^b=17^a,5^a+7^b=11^b$,则(  )
A.$a>b $   B.$a<b$    C.$a\ge b$   D.$a\le b$

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original poster realnumber posted 2014-5-20 14:43
$a,b\in R^+,4a^2+b^2+2ab=3$,则$4a+2b$的最大值是________.

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