已知
且
,设命题
函数
在R上单调递减,命题
对任意实数x,不等式
恒成立.
(1)求非q为真时,实数c的取值范围;
(2)如果命题
为真命题,且
为假命题,求实数c的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f940e491269e04ab4680ee10714ba88c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb6833f8fb83c7e7db658ad4e541392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b87e6c548bae1ed229839f1cddde3d.png)
(1)求非q为真时,实数c的取值范围;
(2)如果命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
更新时间:2020-03-14 11:27:04
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相似题推荐
解答题
|
适中
(0.65)
名校
【推荐1】设命题
:函数
的定义域为
;命题
:关于
的方程
有实根.
(1)如果
是真命题,求实数
的取值范围.
(2)如果命题“
”为真命题,且“
”为假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29504178fad480b9f22e112e04b889d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f2f9e8915e9db983f027786d16c2d5.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)如果命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
【推荐2】设p:实数x满足
,其中
;有下列条件:①q:函数
有意义;②q:实数x满足:
.从以上两个条件中,任选一个条件作为q,
(1)若
,且
为真,求实数x的取值范围;
(2)若
是
的充分不必要条件,求实数a的取值范围.
(注:如果条件①和条件②分别解答,按第一个解答计分)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebff6619f0334a3494d94c6cacf2f2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ea5ac3a1d3a26a1cc4c0bb8b800df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645a828fdeca9f05dcb1260496e90f51.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
(注:如果条件①和条件②分别解答,按第一个解答计分)
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【推荐1】已知命题
,
;命题q:方程
表示焦点在x轴上的椭圆.
(1)若q为真,求实数m的取值范围;
(2)若
是假命题,
是真命题,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e9a5fd401a02e46505acf3fae55880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7327b3e97e7ae334f97c5e2e781ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/903eaa80cdc5d2e952914a65943a6441.png)
(1)若q为真,求实数m的取值范围;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
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解题方法
【推荐2】设函数
在区间
上单调递增;
函数
在其定义域上存在极值.
(1)若
为真命题,求实数
的取值范围;
(2)如果“
或
”为真命题,“
且
”为假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cfc8ae5fc85508f87a7f5a5fbb888f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2501720149908efa11f777f9327aa754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a01120011aa12ed6a77cb960614d0956.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)如果“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐1】已知函数f(x)=ax2+bx+1(a,b为实数),设
,
(1)若f(-1)=0,且对任意实数x均有f(x)≥0成立,求F(x)的表达式;
(2)在(1)的条件下,当x∈[-2,2]时,g(x)=f(x)-kx是单调函数,求实数k的取值范围;
(3)设mn<0,m+n>0,a>0,且f(x)满足f(-x)=f(x),试比较F(m)+F(n)的值与0的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13d919b7029d3df32ff4204b06b764d.png)
(1)若f(-1)=0,且对任意实数x均有f(x)≥0成立,求F(x)的表达式;
(2)在(1)的条件下,当x∈[-2,2]时,g(x)=f(x)-kx是单调函数,求实数k的取值范围;
(3)设mn<0,m+n>0,a>0,且f(x)满足f(-x)=f(x),试比较F(m)+F(n)的值与0的大小.
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【推荐2】已知
.
(1)当
时,求不等式
的解集;
(2)若对于任意的
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0fa4f2e3ae85887354d3b3f91e0acb7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2457a5dd915c76c135214fb4ea44a1f4.png)
(2)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fedba42374f66c10e7a68948b2f0a20.png)
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【推荐3】已知二次函数
(其中
)满足下列
个条件:
①函数
的图象过坐标原点;
②函数
的对称轴方程为
;
③方程
有两个相等的实数根,
令
.
(1)求函数
的解析式;
(2)求使不等式
恒成立的实数
的取值范围;
(3)已知函数
在
上的最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c98a7f3a8bf384b1dfc1d34aebd46d2.png)
③方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7e894e55ed5f2c66d3ce058cf49d75.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求使不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf5afd77bd894df1e1a672040de990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499a8449e8bb253065463c23f3ff5860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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