已知命题p:
,使
;命题q:函数
在区间
上具有单调性.
(1)若命题p和q都是真命题,求实数a的取值范围;
(2)若命题p和q中有且仅有一个是真命题,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61901f0c23f1994acb34bd8c0c793e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3db6b23ab3f0774d2018b008d5b7ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(1)若命题p和q都是真命题,求实数a的取值范围;
(2)若命题p和q中有且仅有一个是真命题,求实数a的取值范围.
更新时间:2022-11-13 18:01:59
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【推荐1】已知命题
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(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】已知命题
:方程
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:双曲线
的离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10587c811c6c5d8fb0cc7af190127d35.png)
(1)若命题
为真命题,求实数
的取值范围.
(2)若命题
中有且只有一个为真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0046211e751ce4877607647c90786d5.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dd7e9aeab5f879300c09dda6318cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10587c811c6c5d8fb0cc7af190127d35.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
【推荐1】已知
,有
,
,有
.
(1)若p为真命题,求a的取值范围;
(2)若p和q至少有一个为真命题,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a133fa8172d41c70c25d623f3dddd15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860853c6b6a2472eed48c6a82efecd21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc0537b98e65cc44c604f66f1fe01c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f35dad7308dabab181fd0d1f8bb145d.png)
(1)若p为真命题,求a的取值范围;
(2)若p和q至少有一个为真命题,求a的取值范围.
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【推荐2】已知命题
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您最近一年使用:0次
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解题方法
【推荐1】已知命题
命题
若命题
为真命题,
为假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86e5259bca0abbe1d4184ac0ecff70aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8aff09ffd9f41365ad46267835dd0ff.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
【推荐2】已知命题p:
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab9981706b0dc3c2e75f344b8c7bca14.png)
(1)若命题p是真命题,求实数a的取值范围;
(2)若p∨q是真命题,p∧q是假命题,求实数a的取值范围.
您最近一年使用:0次
解答题-问答题
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解题方法
【推荐1】已知命题
:
,
为假命题.
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,若“
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”的必要不充分条件,求实数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c8154db176c573974bddf59d4efbfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
【推荐2】已知集合
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01464b86a3f15b5abee8aced43f537a.png)
(1)当
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