1 . 已知
,
.
(1)若q是p的必要非充分条件,求实数a的取值范围;
(2)若
,且p,q至少有一个成立,求x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950f0997965a5673ff504e9c59b894d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d871fab845f85beb05f0a87ce97ab582.png)
(1)若q是p的必要非充分条件,求实数a的取值范围;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
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5卷引用:青海省西宁市大通县2023-2024学年高一上学期期末考试数学试题
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解题方法
2 . 设集合
,集合
.
(1)已知p:
,若p为真命题,求实数m的取值范围;
(2)若“
”是“
”的必要不充分条件,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb5213526da01cd39f58e45574da484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f777b114ad435b8d847e86cc6dfc69.png)
(1)已知p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/add2ab563fbf207916d85a04571f3580.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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3 . 已知
,且p是q的必要不充分条件,则实数
的取值范围为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd96360f6bb129046be1a53fcae161ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 已知
:在平面直角坐标系
中,方程
表示双曲线;
:实数
满足不等式
.
(1)若命题
为真,求实数
的取值范围;
(2)若
是
的必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f4404c329536ca58d6635e91d68ebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0a2556a0411230a6f075168a9a8b48.png)
(1)若命题
![](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/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知
:
,
:
(
),若
是
的必要而不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac5633b9158eac7bba046a279e77843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7357046665d9986f4b21c102c45eca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](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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|
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