解题方法
1 . 在①
,②
,这两个条件中任选一个,补充在下面的横线上,并回答下列问题.设全集
,______,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa3dde3f7fde521e1f189db075c2f02.png)
(1)若
,求
;
(2)若“
”是“
”的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d799bb22584519f45373fad2b62286a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249ae8c224fce98cf4ff0f9e20e75634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa3dde3f7fde521e1f189db075c2f02.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfebbdc092f4dc3a8dbe73ee52a02c96.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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解题方法
2 . 已知
:实数
满足
,
:实数
满足
(其中
).
(1)若
,且
和
至少有一个为真,求实数
的取值范围;
(2)若
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25aa0c7936be2e123fe2265ec8911eb.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/08fc0a7fe5c3ff63da4c3d76ce963be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.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/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 在研究函数过程中,经常会週到一类形如
为实常数且
的函数,我们称为一次型分式函数.请根据条件完成下列问题.
(1)设
是实数,函数
,请根据
的不同取值,讨论函数
的奇偶性,并说明理由;
(2)设
是实数,函数
.若
成立的一个充分非必要条件是
,求
的取值范围;
(3)设
是实数,函数
,若存在区间
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9796db5f297d4023eac8d1aa4739c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b744e7cd7496125a9bcd6b756d09ebff.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1944af8ede16275cdcbe721a81870d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8aade587301e484fe76bdf87e6d5b03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0527a896aec4a245945e5edee00deed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47f8d234c1df11e957b9bd7d3f2da47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe2a076aa933bf55763c67b8734b1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af24aeacd2576456cc192826ecd5b107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcc3c97c6d73f7ef44b90ec6f3065ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
4 . 已知集合
,
.
(1)若“
”是“
”的充分不必要条件,求实数m的取值范围;
(2)若集合
中只含有两个整数元素且这两个元素非负,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6d8f97db9b9524d18f27e028b99c15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b44936b5a36d2f614f8364541be288.png)
(1)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551fd8cd8ea61d794c13074ccd7d6c4e.png)
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2023-11-16更新
|
343次组卷
|
4卷引用:山西省吕梁市2024届高三上学期11月月考数学试题
名校
5 . 设命题
:当
时,实数
满足
,命题
:实数
满足
.
(1)若
,且
都为真命题,求
的取值范围;
(2)若q是p的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](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/ebff6619f0334a3494d94c6cacf2f2ac.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/3f2f22510a9dc1795b245e50de02f050.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若q是p的充分不必要条件,求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知命题
为真命题.
(1)求实数
的取值范围;
(2)命题
:
,若
是
的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae88245eae4446aea28204e2ee13d03f.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/507a6fc82eadc377718f732120f4800d.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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7 . 已知集合
,集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b288178c45817370cd57fbeae88fdd.png)
(1)若
,求
;
(2)若
是
的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a217794bb390938cd4c56e239e1085f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b288178c45817370cd57fbeae88fdd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d19598537de95fa02534b1e9b467d1.png)
(2)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)
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8 . 设全集
,集合
.
(1)求
;
(2)若集合
,且
是
的充分条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b85d35e2c750b177f9edf8949e88ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb2e94273fb034fe4df01fa5f003a7d1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43140c948d1e68bd55e7f8fbe4d9c5b4.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eed54335a4bd9c88db5b253fc33c44e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
9 . 已知集合
,
.
(1)求
.
(2)已知集合
,若满足_____,求实数m的取值范围.
请从①
,②
,③“
”是“
”的充分不必要条件中选一个填入(2)中横线处进行解答.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91daa8d525f7a8e72efe709ca61b900d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5e5aca3fdc42991d239c1e3cf8a5dd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da2e87d792e323ef830f09ad621146ca.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96694c55f92ff7ffe6803ba968729fba.png)
请从①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abba08db8487f7d3b27d4645a5388b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ea8366f097fc1846880460e073c697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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解题方法
10 . 已知集合
,函数
的值域为集合
.
(1)当
时,求
;
(2)若“
”是“
”的充分不必要条件,求正数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ad14323ac3e6d44befe1bfde1f4297.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31162953851dd385ff04de523f9a3f18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)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)
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