已知p:x2≤5x﹣4,q:x2﹣(a+2)x+2a
0(a>2).
(1)若p为真命题,求x的取值范围;
(2)若p是q的必要不充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
(1)若p为真命题,求x的取值范围;
(2)若p是q的必要不充分条件,求实数a的取值范围.
更新时间:2021-10-28 14:37:19
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解题方法
【推荐1】已知命题
:函数
且满足
,命题
:集合
,
且
.
(1)分别求命题
、
为真命题时的实数
的取值范围;
(2)若命题
、
中有且仅有一个为真命题,求实数
的取值范围;
(3)设
、
皆为真命题时
的取值范围为集合
,已知
,若
在全集
中的补集
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41546cdbe35f22b9a45120b1cb0b7b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6086d3e282c64e691c77a8b9e1683f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86eef5bd3a66673796e61f7f600ffe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2bfd4065faec1ff0782084efb49dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
(1)分别求命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370a762fd78c04bd58f820c733fc3a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38ab2d47b70ad4da82da6f26542e468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】已知命题
命题
若命题
是真命题,命题
是假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76cfa5e994e166141c31ba9a762f4fce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef6e58c42b1454aefd5efef6d35831b.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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解题方法
【推荐1】已知命题
函数
的两个零点均在
上,命题![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
.
(1)若
是真命题,求实数
的取值范围;
(2)若
是
的必要且不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e24bc3aee198e294581d6d20e9df00f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6671fc4307ba5298796a291f52abb295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d91a4cb39340da2782625a9eed8e20.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](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/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
【推荐2】已知全集
,命题p:实数x满足集合
,命题q:实数x满足集合
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/39544e82-efb8-4910-bcad-29a766a15d48.png?resizew=155)
(1)若
,求如图所示阴影部分表示的集合;
(2)若p是q的必要不充分条件,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dafcfe6c43f66aadddbda6fbf0796b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e4ea7b5fc69e3bc5ef06a62bad9131.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/39544e82-efb8-4910-bcad-29a766a15d48.png?resizew=155)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
(2)若p是q的必要不充分条件,求实数m的取值范围.
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【推荐1】设函数
是偶函数,
(1)求不等式
的解集;
(2)设函数
,若
在
上有零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b956769cbd84df97cff880117f32cda9.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c638b717b40da4df408f1356473a6e9.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22de3629890d59f17f045dcc92fcce7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97148e04ca6a9f9dca0aba91ce4e1d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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【推荐2】(1)已知
,
,证明:
;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75e17b53ee815ef4853237102ba053e.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725bcb50b7af01a9b468146c7fa19544.png)
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解题方法
【推荐1】已知集合
,其中
,集合
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe0aead1c15d7cef7518dd42dcb6e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e8cc24ff25ce68dd18718376aed69b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8493a0cd10d3d0399173c04163740a38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】(1)求关于
的不等式
的解集;
(2)已知二次不等式
的解集为
或
,求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/574129c41da8173f8673ffce6b02a04f.png)
(2)已知二次不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84617aaab200384efeaec9a4fe71772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ed7588e849551d1ce9ce8d00e26cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c74db2174df44f22fe7fdf88614af21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad632cc17512bf31c874a195cbdf957.png)
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