解题方法
1 . 已知集合
,集合
,命题
,命题
,
.
(1)若命题
为假命题,求实数
的取值范围;
(2)若命题
和命题
至少有一个为真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b754fa81e4266743c32671ef3eaa03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c04f76d8d1d83442cc69ffe725112511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5708f05b0006d21e05160df77ca0ca8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d19de1563ccf0f867f91bc031773053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/886606543383d11a4db8f21ac1e4e3bf.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若命题
![](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)
您最近一年使用:0次
名校
2 . 已知命题
:
,
,命题
:
,
.
(1)若
为真,求实数
的取值范围;
(2)若
为假,
为真,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898b92210df25ba45de806c30e30b120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5667bc1ea875422f618529aa5f254f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa984c4deb1575e37a18eef0ce7ff3b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-11-14更新
|
2618次组卷
|
8卷引用:安徽省六安市第一中学2020-2021学年高三上学期第二次月考数学(理)试题
安徽省六安市第一中学2020-2021学年高三上学期第二次月考数学(理)试题江西省吉水中学2020-2021学年高二上学期数学(文)月考试题安徽省合肥市肥东县第二中学2020-2021学年高二上学期第二次月考数学(理)试题江西省鹰潭市2020-2021学年高二上学期期末数学(理)试题安徽省蚌埠第三中学2020-2021学年高二上学期1月教学质量检测数学(文)试题安徽省安庆市怀宁中学2020-2021学年高二(实验班)上学期第二次质量检测理科数学试题江西省景德镇市浮梁县第一中学2020-2021学年高二5月月考数学(文)试题江西省遂川中学2021-2022学年高二上学期第三次月考数学(理)试题(A卷)
名校
3 . 设
,命题p:
,命题q:
.
(1)若命题p是真命题,求
的取值范围;
(2)若命题¬p与q至少有一个为假命题,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5c50c2338ca344091b54d64211a537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/961d12837555e1547d23200478bb42ea.png)
(1)若命题p是真命题,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若命题¬p与q至少有一个为假命题,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-10-24更新
|
1454次组卷
|
4卷引用:福建泉州实验中学2020-2021学年高一年10月月考数学试题
福建泉州实验中学2020-2021学年高一年10月月考数学试题广东省深圳市龙岗区2021-2022学年高一上学期期中数学试题(已下线)突破1.5全称量词与存在量词(课时训练)广东省广雅中学2023-2024学年高一上学期期中数学试题
名校
4 . 已知
且
,设命题
:函数
在
上单调递减,命题
:对任意实数
,不等式
恒成立.
(1)写出命题
的否定,并求非
为真时,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/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f940e491269e04ab4680ee10714ba88c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb6833f8fb83c7e7db658ad4e541392.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/c6b87e6c548bae1ed229839f1cddde3d.png)
(1)写出命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.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/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2018-06-30更新
|
897次组卷
|
2卷引用:【全国市级联考】江苏省宿迁市2017-2018学年高二下学期期末考试数学(文)试题
5 . 写出下列命题的“
”命题:
(1)正方形的四边相等;
(2)平方和为
的两个实数都为
;
(3)若
是锐角三角形, 则
的任何一个内角是锐角;
(4)若
,则
中至少有一个为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a037d29525d118dc083dc3e5e808ca2b.png)
(1)正方形的四边相等;
(2)平方和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8456936817c4790d98b84c5a3cf17855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
您最近一年使用:0次