已知
,命题
:
,
;命题
:
,
.
(1)若p为真命题,求实数m的取值范围;
(2)若命题p,q有且只有一个是真命题,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6a5b26336eff06ce06c4e44a376687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e434d52b7741e42c21c2785eb07ffcaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb7f7848f79e406cf0091dd78d26bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b499436ded6a6ffafb5051fe3d00ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89bdf1717c68cfc8a306ee79757e7e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ca73589b5da995b84a3b4dd53871c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9f343e562ab29e4eccc83d0e793cdf.png)
(1)若p为真命题,求实数m的取值范围;
(2)若命题p,q有且只有一个是真命题,求实数m的取值范围.
更新时间:2022-10-24 19:38:50
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适中
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解题方法
【推荐1】命题
关于
的方程
有两个相异负根;命题
.
(1)若命题
为假命题,求实数
的取值范围;
(2)若这两个命题有且仅有一个为真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437bceb596deddba816acf6e44e2d2ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a936637df648013adcc40f2a6a4c2f43.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若这两个命题有且仅有一个为真命题,求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】已知命题
,
.
(1)若
且p,q都为真,求实数x的取值范围;
(2)若p是q成立的充分不必要条件,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c3fd3d48e4296ddefdd1e3ced7aba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b25863840277034e9bab03aed59a90.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
(2)若p是q成立的充分不必要条件,求实数m的取值范围.
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【推荐1】已知集合
,
,
.
(1)求
、
;
(2)是否存在实数
,使
?若存在,求出
的取值范围;若不存在,请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6623d3562852ca183a575e1544b5c1ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050522e189a6f273cfc34174a1bce1d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95321d0e551daa25104d32157249c23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://img.xkw.com/dksih/QBM/2020/8/18/2530587660754944/2531230848876544/STEM/e175a8205def45258e27fc958e793d20.png?resizew=2)
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解题方法
【推荐2】定义在
上的函数
满足:对于
,
成立;当
时,
恒成立.
(1)判断并证明函数
的奇偶性,判断并证明
的单调性;
(2)当
时,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2671f593186fa00f17ad26eba7b8f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd384d86840b7b158af41f56fe29c7d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(1)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14abe8fce499984ff4deb75de7efb4f9.png)
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解题方法
【推荐1】已知函数
.
(1)若
,求函数
的零点;
(2)若
对一切实数
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a629100a6811cbdf36f6a08ac41acc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f21eb10a07d4cdc85a357a4e2d57a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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【推荐2】一元二次不等式
对一切实数
都成立的
的取值集合为
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的定义域为
.
(1)求集合
,
;
(2)记
,
,
是
的充分不必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6d03dfc5b4ce38e17403b3b49fdc15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/961c08eb9c0aa56f0292688140cc8a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f3fc042263949cc8a18f61ecc7086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3003fc07cc826092593d5d79b7f26acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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