若命题“
,使得
成立.”为假命题,则实数
的最大值为?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e59b6970df9b5b510cf0874f053a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7504b33f1fe28081fd0a5c5ac01cd215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
2023高三·全国·专题练习 查看更多[1]
(已下线)第一章 集合、常用逻辑用语与不等式 专题1 含参命题的真假判定问题
更新时间:2023-09-21 20:43:17
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【推荐1】已知命题
,命题
.
(1)若命题
为真命题,求实数
的取值范围;
(2)若命题
和
均为真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14626266ca26d002da5800412ccda84e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b1e1bf467203dd8fa16b1f39d016549.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7cd0299f2b7ce18b32f69018b413fc6.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05cc4f51adf857a4b1f982222535a5ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7cd0299f2b7ce18b32f69018b413fc6.png)
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【推荐2】设
:“
”;
:“
是单调递增函数”
(1)若p为真命题,求实数a的取值范围;
(2)若
为真命题,且
为假命题,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b2e8628a3e99686afdc3398ccb413e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a3d3a0abcb93e0a2a1b693d3e1bea9.png)
(1)若p为真命题,求实数a的取值范围;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
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【推荐1】已知命题p:
,
,命题q:
,
.
(1)若命题p为真命题,求实数m的取值范围;
(2)若命题“p或q”为假命题,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc8583a8dfc03d47d0e417b5aa9447c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/678b6146b929d93055f13ee3ecaa8249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b38580d0dac65618a81720f3addab2b.png)
(1)若命题p为真命题,求实数m的取值范围;
(2)若命题“p或q”为假命题,求实数m的取值范围.
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【推荐2】已知
,设
,
成立;
成立.如果
假
真时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a21b38774ce1b249beac5a6dd6d157a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b38b57c2b2fef99135d29ca33a6f250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25909cb79ca49ea9b11ceae570d15a61.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/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐3】已知集合
,
.
(1)若
是
的充分不必要条件,求实数
的取值范围;
(2)设命题
,若命题
为假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea45f50caa9b68052252788e52c63263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a7d22d1b6488040784fe89f74f21c7.png)
(1)若
![](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/0a6936d370d6a238a608ca56f87198de.png)
(2)设命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dbd914e067c3517a90040e61ad07f26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐1】已知
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7600c9a7de088a9f88bf0447e22d0bb.png)
(1)若
恒成立,求a的取值范围;
(2)过原点分别作曲线
和
的切线
和
,试问:是否存在
,使得切线
和
的斜率互为倒数?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7600c9a7de088a9f88bf0447e22d0bb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561480e3d3809613c33ce1f9c8890510.png)
(2)过原点分别作曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eae1b87c23b45ce5e5e74d5b1d73234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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【推荐2】设
.
(1)求函数
的最大值;
(2)当
时,求函数
的单调区间及最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1044dcf4fba551e1b7fbfeb895ea08c.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d7530b29ab79f5c4d74732bae0ae071.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffd1f6bd3686a07efa4086a02b96a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25517c700cfbad1e104109ca9ce5b96.png)
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【推荐3】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e22b936375ba5c1ba9d8ab4828faf5.png)
(1)讨论
的单调性并求最大值;
(2)设
,若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e22b936375ba5c1ba9d8ab4828faf5.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7a75ebe442ee8741ae36ffe6809cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef849152f5509a13bdb8c2d5b0694c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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